0.609 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.101 * [progress]: [Phase 2 of 3] Improving. 0.104 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.106 * * [simplify]: Extracting # 2 : cost 0 0.106 * * [simplify]: Extracting # 3 : cost 0 0.107 * * [simplify]: Extracting # 4 : cost 0 0.107 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: Extracting # 1 : cost 0 0.114 * * [simplify]: Extracting # 2 : cost 0 0.114 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.117 * * [simplify]: Extracting # 0 : cost 0 0.117 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.120 * * [simplify]: Extracting # 1 : cost 0 0.120 * * [simplify]: Extracting # 2 : cost 0 0.120 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: Extracting # 1 : cost 0 0.124 * * [simplify]: Extracting # 2 : cost 0 0.124 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.128 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.129 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.133 * * [simplify]: Extracting # 0 : cost 0 0.133 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.180 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.340 * * * [progress]: generating series expansions 0.340 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.348 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.348 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.349 * [taylor]: Taking taylor expansion of -1 in n 0.349 * [backup-simplify]: Simplify -1 into -1 0.350 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.350 * [taylor]: Taking taylor expansion of (+ n f) in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of f in n 0.350 * [backup-simplify]: Simplify f into f 0.350 * [taylor]: Taking taylor expansion of (- f n) in n 0.350 * [taylor]: Taking taylor expansion of f in n 0.350 * [backup-simplify]: Simplify f into f 0.350 * [taylor]: Taking taylor expansion of n in n 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (+ 0 f) into f 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ f 0) into f 0.352 * [backup-simplify]: Simplify (/ f f) into 1 0.352 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.353 * [taylor]: Taking taylor expansion of -1 in f 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.353 * [taylor]: Taking taylor expansion of (+ n f) in f 0.353 * [taylor]: Taking taylor expansion of n in f 0.353 * [backup-simplify]: Simplify n into n 0.353 * [taylor]: Taking taylor expansion of f in f 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (- f n) in f 0.353 * [taylor]: Taking taylor expansion of f in f 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of n in f 0.353 * [backup-simplify]: Simplify n into n 0.353 * [backup-simplify]: Simplify (+ n 0) into n 0.353 * [backup-simplify]: Simplify (- n) into (- n) 0.353 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.353 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.353 * [taylor]: Taking taylor expansion of -1 in f 0.353 * [backup-simplify]: Simplify -1 into -1 0.353 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.353 * [taylor]: Taking taylor expansion of (+ n f) in f 0.353 * [taylor]: Taking taylor expansion of n in f 0.353 * [backup-simplify]: Simplify n into n 0.353 * [taylor]: Taking taylor expansion of f in f 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of (- f n) in f 0.354 * [taylor]: Taking taylor expansion of f in f 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [taylor]: Taking taylor expansion of n in f 0.354 * [backup-simplify]: Simplify n into n 0.354 * [backup-simplify]: Simplify (+ n 0) into n 0.354 * [backup-simplify]: Simplify (- n) into (- n) 0.354 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.354 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.355 * [backup-simplify]: Simplify (* -1 -1) into 1 0.355 * [taylor]: Taking taylor expansion of 1 in n 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.359 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.359 * [taylor]: Taking taylor expansion of 2 in n 0.359 * [backup-simplify]: Simplify 2 into 2 0.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.359 * [taylor]: Taking taylor expansion of n in n 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.365 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.365 * [taylor]: Taking taylor expansion of 2 in n 0.365 * [backup-simplify]: Simplify 2 into 2 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.365 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.365 * [taylor]: Taking taylor expansion of n in n 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [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)))) 0.441 * [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))) 0.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.441 * [taylor]: Taking taylor expansion of 2 in n 0.441 * [backup-simplify]: Simplify 2 into 2 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.441 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.452 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.452 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.452 * [taylor]: Taking taylor expansion of -1 in n 0.453 * [backup-simplify]: Simplify -1 into -1 0.453 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.453 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.453 * [taylor]: Taking taylor expansion of f in n 0.453 * [backup-simplify]: Simplify f into f 0.453 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.453 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.454 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.454 * [taylor]: Taking taylor expansion of f in n 0.454 * [backup-simplify]: Simplify f into f 0.454 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.454 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [backup-simplify]: Simplify (+ 0 1) into 1 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.456 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.457 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.457 * [taylor]: Taking taylor expansion of -1 in f 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.457 * [taylor]: Taking taylor expansion of f in f 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.457 * [taylor]: Taking taylor expansion of n in f 0.457 * [backup-simplify]: Simplify n into n 0.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.457 * [taylor]: Taking taylor expansion of f in f 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.458 * [taylor]: Taking taylor expansion of n in f 0.458 * [backup-simplify]: Simplify n into n 0.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (+ 1 0) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.459 * [taylor]: Taking taylor expansion of -1 in f 0.459 * [backup-simplify]: Simplify -1 into -1 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.459 * [taylor]: Taking taylor expansion of f in f 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.460 * [taylor]: Taking taylor expansion of n in f 0.460 * [backup-simplify]: Simplify n into n 0.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.460 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.460 * [taylor]: Taking taylor expansion of f in f 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.461 * [taylor]: Taking taylor expansion of n in f 0.461 * [backup-simplify]: Simplify n into n 0.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.461 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (+ 1 0) into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (* -1 1) into -1 0.463 * [taylor]: Taking taylor expansion of -1 in n 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [backup-simplify]: Simplify -1 into -1 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.466 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.466 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.467 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.467 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.467 * [taylor]: Taking taylor expansion of 2 in n 0.467 * [backup-simplify]: Simplify 2 into 2 0.467 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.467 * [taylor]: Taking taylor expansion of n in n 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.476 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.476 * [taylor]: Taking taylor expansion of 2 in n 0.476 * [backup-simplify]: Simplify 2 into 2 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.476 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify 0 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 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [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 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [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))) 0.495 * [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)))) 0.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.495 * [taylor]: Taking taylor expansion of 2 in n 0.495 * [backup-simplify]: Simplify 2 into 2 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.495 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify -1 into -1 0.508 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.508 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.508 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.508 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.508 * [taylor]: Taking taylor expansion of f in n 0.508 * [backup-simplify]: Simplify f into f 0.509 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.509 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.509 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.510 * [taylor]: Taking taylor expansion of f in n 0.510 * [backup-simplify]: Simplify f into f 0.510 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.512 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.512 * [taylor]: Taking taylor expansion of f in f 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.512 * [taylor]: Taking taylor expansion of n in f 0.512 * [backup-simplify]: Simplify n into n 0.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.512 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.512 * [taylor]: Taking taylor expansion of n in f 0.512 * [backup-simplify]: Simplify n into n 0.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.512 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.513 * [taylor]: Taking taylor expansion of f in f 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ 1 0) into 1 0.514 * [backup-simplify]: Simplify (- 1) into -1 0.514 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.515 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.515 * [taylor]: Taking taylor expansion of f in f 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.516 * [taylor]: Taking taylor expansion of n in f 0.516 * [backup-simplify]: Simplify n into n 0.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.516 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.516 * [taylor]: Taking taylor expansion of n in f 0.516 * [backup-simplify]: Simplify n into n 0.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.516 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.516 * [taylor]: Taking taylor expansion of f in f 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ 1 0) into 1 0.517 * [backup-simplify]: Simplify (- 1) into -1 0.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.518 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.518 * [taylor]: Taking taylor expansion of -1 in n 0.518 * [backup-simplify]: Simplify -1 into -1 0.518 * [backup-simplify]: Simplify -1 into -1 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.521 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.521 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.521 * [taylor]: Taking taylor expansion of 2 in n 0.521 * [backup-simplify]: Simplify 2 into 2 0.521 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.521 * [taylor]: Taking taylor expansion of n in n 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.529 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.529 * [taylor]: Taking taylor expansion of 2 in n 0.529 * [backup-simplify]: Simplify 2 into 2 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.529 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.529 * [taylor]: Taking taylor expansion of n in n 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [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)))) 0.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.542 * [taylor]: Taking taylor expansion of 2 in n 0.542 * [backup-simplify]: Simplify 2 into 2 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.542 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.542 * [taylor]: Taking taylor expansion of n in n 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify -1 into -1 0.552 * * * [progress]: simplifying candidates 0.555 * [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 0.559 * * [simplify]: Extracting # 0 : cost 0 0.559 * * [simplify]: Extracting # 1 : cost 0 0.559 * * [simplify]: Extracting # 2 : cost 0 0.560 * * [simplify]: Extracting # 3 : cost 0 0.560 * * [simplify]: Extracting # 4 : cost 0 0.560 * * [simplify]: Extracting # 5 : cost 0 0.561 * * [simplify]: Extracting # 6 : cost 0 0.561 * * [simplify]: Extracting # 7 : cost 0 0.561 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.638 * * [simplify]: Extracting # 0 : cost 0 0.638 * * [simplify]: Extracting # 1 : cost 0 0.639 * * [simplify]: Extracting # 2 : cost 0 0.640 * * [simplify]: Extracting # 3 : cost 0 0.640 * * [simplify]: Extracting # 4 : cost 0 0.641 * * [simplify]: iteration 1 : 287 enodes (cost 1378 ) 0.761 * * [simplify]: Extracting # 0 : cost 0 0.762 * * [simplify]: Extracting # 1 : cost 0 0.769 * * [simplify]: Extracting # 2 : cost 0 0.772 * * [simplify]: Extracting # 3 : cost 0 0.774 * * [simplify]: Extracting # 4 : cost 0 0.775 * * [simplify]: iteration 2 : 690 enodes (cost 1348 ) 1.207 * * [simplify]: Extracting # 0 : cost 0 1.211 * * [simplify]: Extracting # 1 : cost 0 1.215 * * [simplify]: Extracting # 2 : cost 0 1.218 * * [simplify]: Extracting # 3 : cost 0 1.221 * * [simplify]: iteration 3 : 1825 enodes (cost 1340 ) 3.084 * * [simplify]: Extracting # 0 : cost 0 3.097 * * [simplify]: Extracting # 1 : cost 0 3.105 * * [simplify]: Extracting # 2 : cost 0 3.113 * * [simplify]: Extracting # 3 : cost 0 3.118 * * [simplify]: iteration 4 : 4716 enodes (cost 1340 ) 4.607 * * [simplify]: Extracting # 0 : cost 0 4.615 * * [simplify]: Extracting # 1 : cost 0 4.624 * * [simplify]: Extracting # 2 : cost 0 4.642 * * [simplify]: iteration done: 5001 enodes (cost 1340 ) 4.643 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ 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)))) (/ (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)))) (/ (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))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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)))) (/ (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)))) (/ (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))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -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))) (/ (- (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))) (/ (- (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)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 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)) (/ (- (+ f n)) (+ (sqrt f) (sqrt 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) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 4.645 * * * [progress]: adding candidates to table 4.856 * * [progress]: iteration 2 / 4 4.856 * * * [progress]: picking best candidate 4.860 * * * * [pick]: Picked # 4.860 * * * [progress]: localizing error 4.870 * * * [progress]: generating rewritten candidates 4.870 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.909 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.950 * * * [progress]: generating series expansions 4.950 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.950 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 4.950 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.950 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.950 * [taylor]: Taking taylor expansion of -1 in n 4.950 * [backup-simplify]: Simplify -1 into -1 4.950 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.950 * [taylor]: Taking taylor expansion of (+ n f) in n 4.950 * [taylor]: Taking taylor expansion of n in n 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [taylor]: Taking taylor expansion of f in n 4.950 * [backup-simplify]: Simplify f into f 4.950 * [taylor]: Taking taylor expansion of (- f n) in n 4.950 * [taylor]: Taking taylor expansion of f in n 4.950 * [backup-simplify]: Simplify f into f 4.950 * [taylor]: Taking taylor expansion of n in n 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (+ 0 f) into f 4.951 * [backup-simplify]: Simplify (- 0) into 0 4.951 * [backup-simplify]: Simplify (+ f 0) into f 4.951 * [backup-simplify]: Simplify (/ f f) into 1 4.951 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.951 * [taylor]: Taking taylor expansion of -1 in f 4.951 * [backup-simplify]: Simplify -1 into -1 4.951 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.951 * [taylor]: Taking taylor expansion of (+ n f) in f 4.951 * [taylor]: Taking taylor expansion of n in f 4.951 * [backup-simplify]: Simplify n into n 4.951 * [taylor]: Taking taylor expansion of f in f 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [taylor]: Taking taylor expansion of (- f n) in f 4.951 * [taylor]: Taking taylor expansion of f in f 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [taylor]: Taking taylor expansion of n in f 4.951 * [backup-simplify]: Simplify n into n 4.951 * [backup-simplify]: Simplify (+ n 0) into n 4.951 * [backup-simplify]: Simplify (- n) into (- n) 4.951 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.951 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.951 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.951 * [taylor]: Taking taylor expansion of -1 in f 4.951 * [backup-simplify]: Simplify -1 into -1 4.952 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.952 * [taylor]: Taking taylor expansion of (+ n f) in f 4.952 * [taylor]: Taking taylor expansion of n in f 4.952 * [backup-simplify]: Simplify n into n 4.952 * [taylor]: Taking taylor expansion of f in f 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [taylor]: Taking taylor expansion of (- f n) in f 4.952 * [taylor]: Taking taylor expansion of f in f 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [taylor]: Taking taylor expansion of n in f 4.952 * [backup-simplify]: Simplify n into n 4.952 * [backup-simplify]: Simplify (+ n 0) into n 4.952 * [backup-simplify]: Simplify (- n) into (- n) 4.952 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.952 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.952 * [backup-simplify]: Simplify (* -1 -1) into 1 4.952 * [taylor]: Taking taylor expansion of 1 in n 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (+ 0 1) into 1 4.953 * [backup-simplify]: Simplify (- 0) into 0 4.953 * [backup-simplify]: Simplify (+ 1 0) into 1 4.953 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.954 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.954 * [taylor]: Taking taylor expansion of 2 in n 4.954 * [backup-simplify]: Simplify 2 into 2 4.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.954 * [taylor]: Taking taylor expansion of n in n 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.955 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify (+ 0 0) into 0 4.955 * [backup-simplify]: Simplify (- 0) into 0 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.956 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.956 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.956 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.956 * [taylor]: Taking taylor expansion of 2 in n 4.956 * [backup-simplify]: Simplify 2 into 2 4.956 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.956 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.956 * [taylor]: Taking taylor expansion of n in n 4.956 * [backup-simplify]: Simplify 0 into 0 4.956 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (* 1 1) into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.959 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [backup-simplify]: Simplify (- 0) into 0 4.962 * [backup-simplify]: Simplify (+ 0 0) into 0 4.962 * [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)))) 4.963 * [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))) 4.963 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.963 * [taylor]: Taking taylor expansion of 2 in n 4.963 * [backup-simplify]: Simplify 2 into 2 4.963 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.963 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.963 * [taylor]: Taking taylor expansion of n in n 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.963 * [backup-simplify]: Simplify (* 1 1) into 1 4.963 * [backup-simplify]: Simplify (* 1 1) into 1 4.964 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.976 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.976 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.976 * [taylor]: Taking taylor expansion of -1 in n 4.976 * [backup-simplify]: Simplify -1 into -1 4.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.976 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.976 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.976 * [taylor]: Taking taylor expansion of f in n 4.976 * [backup-simplify]: Simplify f into f 4.976 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.976 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.976 * [taylor]: Taking taylor expansion of n in n 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [backup-simplify]: Simplify (/ 1 1) into 1 4.976 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.976 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.976 * [taylor]: Taking taylor expansion of f in n 4.977 * [backup-simplify]: Simplify f into f 4.977 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.977 * [taylor]: Taking taylor expansion of n in n 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (/ 1 1) into 1 4.978 * [backup-simplify]: Simplify (+ 0 1) into 1 4.978 * [backup-simplify]: Simplify (- 1) into -1 4.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.979 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.979 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.979 * [taylor]: Taking taylor expansion of -1 in f 4.979 * [backup-simplify]: Simplify -1 into -1 4.979 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.979 * [taylor]: Taking taylor expansion of f in f 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (/ 1 1) into 1 4.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.980 * [taylor]: Taking taylor expansion of n in f 4.980 * [backup-simplify]: Simplify n into n 4.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.980 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.980 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.980 * [taylor]: Taking taylor expansion of f in f 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (/ 1 1) into 1 4.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.980 * [taylor]: Taking taylor expansion of n in f 4.980 * [backup-simplify]: Simplify n into n 4.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.981 * [backup-simplify]: Simplify (+ 1 0) into 1 4.982 * [backup-simplify]: Simplify (+ 1 0) into 1 4.982 * [backup-simplify]: Simplify (/ 1 1) into 1 4.982 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.982 * [taylor]: Taking taylor expansion of -1 in f 4.982 * [backup-simplify]: Simplify -1 into -1 4.982 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.982 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.982 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.982 * [taylor]: Taking taylor expansion of f in f 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (/ 1 1) into 1 4.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.983 * [taylor]: Taking taylor expansion of n in f 4.983 * [backup-simplify]: Simplify n into n 4.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.983 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.983 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.983 * [taylor]: Taking taylor expansion of f in f 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (/ 1 1) into 1 4.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.984 * [taylor]: Taking taylor expansion of n in f 4.984 * [backup-simplify]: Simplify n into n 4.984 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.984 * [backup-simplify]: Simplify (+ 1 0) into 1 4.984 * [backup-simplify]: Simplify (+ 1 0) into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [backup-simplify]: Simplify (* -1 1) into -1 4.985 * [taylor]: Taking taylor expansion of -1 in n 4.985 * [backup-simplify]: Simplify -1 into -1 4.985 * [backup-simplify]: Simplify -1 into -1 4.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.987 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.988 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.988 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.988 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.988 * [taylor]: Taking taylor expansion of 2 in n 4.988 * [backup-simplify]: Simplify 2 into 2 4.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.988 * [taylor]: Taking taylor expansion of n in n 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.991 * [backup-simplify]: Simplify (- 0) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.992 * [backup-simplify]: Simplify (+ 0 0) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.994 * [backup-simplify]: Simplify (- 0) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.996 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.996 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.996 * [taylor]: Taking taylor expansion of 2 in n 4.996 * [backup-simplify]: Simplify 2 into 2 4.996 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.996 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.996 * [taylor]: Taking taylor expansion of n in n 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify 1 into 1 4.997 * [backup-simplify]: Simplify (* 1 1) into 1 4.997 * [backup-simplify]: Simplify (/ 1 1) into 1 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (- 0) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.001 * [backup-simplify]: Simplify (- 0) into 0 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.002 * [backup-simplify]: Simplify (+ 0 0) into 0 5.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.003 * [backup-simplify]: Simplify (- 0) into 0 5.003 * [backup-simplify]: Simplify (+ 0 0) into 0 5.004 * [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))) 5.005 * [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)))) 5.005 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.005 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.005 * [taylor]: Taking taylor expansion of 2 in n 5.005 * [backup-simplify]: Simplify 2 into 2 5.005 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.005 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.005 * [taylor]: Taking taylor expansion of n in n 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (* 1 1) into 1 5.005 * [backup-simplify]: Simplify (* 1 1) into 1 5.006 * [backup-simplify]: Simplify (/ 1 1) into 1 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (- 0) into 0 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify -1 into -1 5.011 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.011 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.011 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.011 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.011 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.011 * [taylor]: Taking taylor expansion of f in n 5.011 * [backup-simplify]: Simplify f into f 5.011 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.011 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.011 * [taylor]: Taking taylor expansion of n in n 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.012 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.012 * [taylor]: Taking taylor expansion of n in n 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.012 * [taylor]: Taking taylor expansion of f in n 5.012 * [backup-simplify]: Simplify f into f 5.012 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.012 * [backup-simplify]: Simplify (+ 0 1) into 1 5.013 * [backup-simplify]: Simplify (+ 1 0) into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.013 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.013 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.013 * [taylor]: Taking taylor expansion of f in f 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.013 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.013 * [taylor]: Taking taylor expansion of n in f 5.013 * [backup-simplify]: Simplify n into n 5.013 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.013 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.013 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.013 * [taylor]: Taking taylor expansion of n in f 5.013 * [backup-simplify]: Simplify n into n 5.013 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.013 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.013 * [taylor]: Taking taylor expansion of f in f 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (/ 1 1) into 1 5.014 * [backup-simplify]: Simplify (+ 1 0) into 1 5.014 * [backup-simplify]: Simplify (- 1) into -1 5.014 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.015 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.015 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.015 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.015 * [taylor]: Taking taylor expansion of f in f 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [backup-simplify]: Simplify (/ 1 1) into 1 5.015 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.015 * [taylor]: Taking taylor expansion of n in f 5.015 * [backup-simplify]: Simplify n into n 5.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.015 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.015 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.015 * [taylor]: Taking taylor expansion of n in f 5.015 * [backup-simplify]: Simplify n into n 5.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.015 * [taylor]: Taking taylor expansion of f in f 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [backup-simplify]: Simplify (/ 1 1) into 1 5.016 * [backup-simplify]: Simplify (+ 1 0) into 1 5.016 * [backup-simplify]: Simplify (- 1) into -1 5.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.016 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.017 * [taylor]: Taking taylor expansion of -1 in n 5.017 * [backup-simplify]: Simplify -1 into -1 5.017 * [backup-simplify]: Simplify -1 into -1 5.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.018 * [backup-simplify]: Simplify (- 0) into 0 5.018 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.018 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.018 * [taylor]: Taking taylor expansion of 2 in n 5.018 * [backup-simplify]: Simplify 2 into 2 5.018 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.018 * [taylor]: Taking taylor expansion of n in n 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (/ 1 1) into 1 5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.020 * [backup-simplify]: Simplify (- 0) into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.021 * [backup-simplify]: Simplify (+ 0 0) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (- 0) into 0 5.022 * [backup-simplify]: Simplify (+ 0 0) into 0 5.022 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.023 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.023 * [taylor]: Taking taylor expansion of 2 in n 5.023 * [backup-simplify]: Simplify 2 into 2 5.023 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.023 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.023 * [taylor]: Taking taylor expansion of n in n 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (* 1 1) into 1 5.023 * [backup-simplify]: Simplify (/ 1 1) into 1 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.026 * [backup-simplify]: Simplify (- 0) into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.027 * [backup-simplify]: Simplify (- 0) into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.028 * [backup-simplify]: Simplify (+ 0 0) into 0 5.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (- 0) into 0 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.030 * [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)))) 5.030 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.030 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.030 * [taylor]: Taking taylor expansion of 2 in n 5.030 * [backup-simplify]: Simplify 2 into 2 5.030 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.031 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.031 * [taylor]: Taking taylor expansion of n in n 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify 1 into 1 5.031 * [backup-simplify]: Simplify (* 1 1) into 1 5.031 * [backup-simplify]: Simplify (* 1 1) into 1 5.031 * [backup-simplify]: Simplify (/ 1 1) into 1 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.037 * [backup-simplify]: Simplify (- 0) into 0 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify -1 into -1 5.037 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 5.037 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 5.038 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 5.038 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 5.038 * [taylor]: Taking taylor expansion of (- f n) in n 5.038 * [taylor]: Taking taylor expansion of f in n 5.038 * [backup-simplify]: Simplify f into f 5.038 * [taylor]: Taking taylor expansion of n in n 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [taylor]: Taking taylor expansion of (+ n f) in n 5.038 * [taylor]: Taking taylor expansion of n in n 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [taylor]: Taking taylor expansion of f in n 5.038 * [backup-simplify]: Simplify f into f 5.038 * [backup-simplify]: Simplify (- 0) into 0 5.038 * [backup-simplify]: Simplify (+ f 0) into f 5.038 * [backup-simplify]: Simplify (+ 0 f) into f 5.039 * [backup-simplify]: Simplify (/ f f) into 1 5.039 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.039 * [taylor]: Taking taylor expansion of (- f n) in f 5.039 * [taylor]: Taking taylor expansion of f in f 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [taylor]: Taking taylor expansion of n in f 5.039 * [backup-simplify]: Simplify n into n 5.039 * [taylor]: Taking taylor expansion of (+ n f) in f 5.039 * [taylor]: Taking taylor expansion of n in f 5.039 * [backup-simplify]: Simplify n into n 5.039 * [taylor]: Taking taylor expansion of f in f 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify (- n) into (- n) 5.039 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.039 * [backup-simplify]: Simplify (+ n 0) into n 5.039 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.039 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 5.039 * [taylor]: Taking taylor expansion of (- f n) in f 5.039 * [taylor]: Taking taylor expansion of f in f 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [taylor]: Taking taylor expansion of n in f 5.039 * [backup-simplify]: Simplify n into n 5.039 * [taylor]: Taking taylor expansion of (+ n f) in f 5.040 * [taylor]: Taking taylor expansion of n in f 5.040 * [backup-simplify]: Simplify n into n 5.040 * [taylor]: Taking taylor expansion of f in f 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify (- n) into (- n) 5.040 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.040 * [backup-simplify]: Simplify (+ n 0) into n 5.040 * [backup-simplify]: Simplify (/ (- n) n) into -1 5.040 * [taylor]: Taking taylor expansion of -1 in n 5.040 * [backup-simplify]: Simplify -1 into -1 5.040 * [backup-simplify]: Simplify -1 into -1 5.041 * [backup-simplify]: Simplify (- 0) into 0 5.041 * [backup-simplify]: Simplify (+ 1 0) into 1 5.042 * [backup-simplify]: Simplify (+ 0 1) into 1 5.042 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 5.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.042 * [taylor]: Taking taylor expansion of 2 in n 5.042 * [backup-simplify]: Simplify 2 into 2 5.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.042 * [taylor]: Taking taylor expansion of n in n 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (/ 1 1) into 1 5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify (- 0) into 0 5.045 * [backup-simplify]: Simplify (+ 0 0) into 0 5.045 * [backup-simplify]: Simplify (+ 0 0) into 0 5.046 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 5.046 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.046 * [taylor]: Taking taylor expansion of 2 in n 5.046 * [backup-simplify]: Simplify 2 into 2 5.046 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.046 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.046 * [taylor]: Taking taylor expansion of n in n 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (* 1 1) into 1 5.047 * [backup-simplify]: Simplify (/ 1 1) into 1 5.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.052 * [backup-simplify]: Simplify (- 0) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (- 0) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.055 * [backup-simplify]: Simplify (+ 0 0) into 0 5.056 * [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))) 5.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.056 * [taylor]: Taking taylor expansion of 2 in n 5.056 * [backup-simplify]: Simplify 2 into 2 5.056 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.056 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.056 * [taylor]: Taking taylor expansion of n in n 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.057 * [backup-simplify]: Simplify (* 1 1) into 1 5.057 * [backup-simplify]: Simplify (* 1 1) into 1 5.057 * [backup-simplify]: Simplify (/ 1 1) into 1 5.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify -1 into -1 5.067 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 5.067 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.067 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 5.068 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.068 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.068 * [taylor]: Taking taylor expansion of f in n 5.068 * [backup-simplify]: Simplify f into f 5.068 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.068 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.068 * [taylor]: Taking taylor expansion of n in n 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.068 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.068 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.068 * [taylor]: Taking taylor expansion of f in n 5.068 * [backup-simplify]: Simplify f into f 5.069 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.069 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.069 * [taylor]: Taking taylor expansion of n in n 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (/ 1 1) into 1 5.070 * [backup-simplify]: Simplify (- 1) into -1 5.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.071 * [backup-simplify]: Simplify (+ 0 1) into 1 5.071 * [backup-simplify]: Simplify (/ -1 1) into -1 5.071 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.071 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.071 * [taylor]: Taking taylor expansion of f in f 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (/ 1 1) into 1 5.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.072 * [taylor]: Taking taylor expansion of n in f 5.072 * [backup-simplify]: Simplify n into n 5.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.072 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.072 * [taylor]: Taking taylor expansion of f in f 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.073 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.073 * [taylor]: Taking taylor expansion of n in f 5.073 * [backup-simplify]: Simplify n into n 5.073 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.073 * [backup-simplify]: Simplify (+ 1 0) into 1 5.074 * [backup-simplify]: Simplify (+ 1 0) into 1 5.074 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 5.074 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.074 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.074 * [taylor]: Taking taylor expansion of f in f 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ 1 1) into 1 5.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.075 * [taylor]: Taking taylor expansion of n in f 5.075 * [backup-simplify]: Simplify n into n 5.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.075 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.075 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.075 * [taylor]: Taking taylor expansion of f in f 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.076 * [backup-simplify]: Simplify (/ 1 1) into 1 5.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.076 * [taylor]: Taking taylor expansion of n in f 5.076 * [backup-simplify]: Simplify n into n 5.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (/ 1 1) into 1 5.077 * [taylor]: Taking taylor expansion of 1 in n 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.078 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.079 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.079 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 5.079 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.079 * [taylor]: Taking taylor expansion of 2 in n 5.079 * [backup-simplify]: Simplify 2 into 2 5.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.080 * [taylor]: Taking taylor expansion of n in n 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.082 * [backup-simplify]: Simplify (- 0) into 0 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.084 * [backup-simplify]: Simplify (- 0) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 5.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.087 * [taylor]: Taking taylor expansion of 2 in n 5.087 * [backup-simplify]: Simplify 2 into 2 5.087 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.087 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.087 * [taylor]: Taking taylor expansion of n in n 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 1 into 1 5.087 * [backup-simplify]: Simplify (* 1 1) into 1 5.088 * [backup-simplify]: Simplify (/ 1 1) into 1 5.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.093 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.093 * [backup-simplify]: Simplify (- 0) into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.094 * [backup-simplify]: Simplify (- 0) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.097 * [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)))) 5.097 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.097 * [taylor]: Taking taylor expansion of 2 in n 5.097 * [backup-simplify]: Simplify 2 into 2 5.097 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.097 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.097 * [taylor]: Taking taylor expansion of n in n 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.099 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (/ 1 1) into 1 5.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.106 * [backup-simplify]: Simplify (- 0) into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 5.106 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.106 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 5.106 * [taylor]: Taking taylor expansion of -1 in n 5.106 * [backup-simplify]: Simplify -1 into -1 5.106 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 5.106 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.106 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.106 * [taylor]: Taking taylor expansion of n in n 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.107 * [taylor]: Taking taylor expansion of f in n 5.107 * [backup-simplify]: Simplify f into f 5.107 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.107 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.107 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.107 * [taylor]: Taking taylor expansion of f in n 5.107 * [backup-simplify]: Simplify f into f 5.107 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.107 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.107 * [taylor]: Taking taylor expansion of n in n 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [backup-simplify]: Simplify (+ 1 0) into 1 5.108 * [backup-simplify]: Simplify (+ 0 1) into 1 5.108 * [backup-simplify]: Simplify (/ 1 1) into 1 5.108 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.108 * [taylor]: Taking taylor expansion of -1 in f 5.108 * [backup-simplify]: Simplify -1 into -1 5.108 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.108 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.108 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.108 * [taylor]: Taking taylor expansion of n in f 5.108 * [backup-simplify]: Simplify n into n 5.108 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.108 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.108 * [taylor]: Taking taylor expansion of f in f 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [backup-simplify]: Simplify (/ 1 1) into 1 5.108 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.108 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.108 * [taylor]: Taking taylor expansion of f in f 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (/ 1 1) into 1 5.109 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.109 * [taylor]: Taking taylor expansion of n in f 5.109 * [backup-simplify]: Simplify n into n 5.109 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.109 * [backup-simplify]: Simplify (- 1) into -1 5.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.109 * [backup-simplify]: Simplify (+ 1 0) into 1 5.110 * [backup-simplify]: Simplify (/ -1 1) into -1 5.110 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 5.110 * [taylor]: Taking taylor expansion of -1 in f 5.110 * [backup-simplify]: Simplify -1 into -1 5.110 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 5.110 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.110 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.110 * [taylor]: Taking taylor expansion of n in f 5.110 * [backup-simplify]: Simplify n into n 5.110 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.110 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.110 * [taylor]: Taking taylor expansion of f in f 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.110 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.110 * [taylor]: Taking taylor expansion of f in f 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.111 * [backup-simplify]: Simplify (/ 1 1) into 1 5.111 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.111 * [taylor]: Taking taylor expansion of n in f 5.111 * [backup-simplify]: Simplify n into n 5.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.111 * [backup-simplify]: Simplify (- 1) into -1 5.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.111 * [backup-simplify]: Simplify (+ 1 0) into 1 5.112 * [backup-simplify]: Simplify (/ -1 1) into -1 5.112 * [backup-simplify]: Simplify (* -1 -1) into 1 5.112 * [taylor]: Taking taylor expansion of 1 in n 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.113 * [backup-simplify]: Simplify (- 0) into 0 5.113 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.113 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.113 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 5.114 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 5.114 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.114 * [taylor]: Taking taylor expansion of 2 in n 5.114 * [backup-simplify]: Simplify 2 into 2 5.114 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.114 * [taylor]: Taking taylor expansion of n in n 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [backup-simplify]: Simplify (/ 1 1) into 1 5.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.115 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.115 * [backup-simplify]: Simplify (- 0) into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (- 0) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.117 * [backup-simplify]: Simplify (+ 0 0) into 0 5.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.119 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.119 * [taylor]: Taking taylor expansion of 2 in n 5.119 * [backup-simplify]: Simplify 2 into 2 5.119 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.119 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.119 * [taylor]: Taking taylor expansion of n in n 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (* 1 1) into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.126 * [backup-simplify]: Simplify (- 0) into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.127 * [backup-simplify]: Simplify (- 0) into 0 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.129 * [backup-simplify]: Simplify (+ 0 0) into 0 5.131 * [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))) 5.132 * [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)))) 5.133 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.133 * [taylor]: Taking taylor expansion of 2 in n 5.133 * [backup-simplify]: Simplify 2 into 2 5.133 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.133 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.133 * [taylor]: Taking taylor expansion of n in n 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.134 * [backup-simplify]: Simplify (/ 1 1) into 1 5.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (- 0) into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * * * [progress]: simplifying candidates 5.148 * [simplify]: Simplifying: (- (log -1) (- (log (- f n)) (log (+ f n)))) (- (log -1) (log (/ (- f n) (+ f n)))) (log (/ -1 (/ (- f n) (+ f n)))) (exp (/ -1 (/ (- f n) (+ f n)))) (/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n)))) (/ (* (* -1 -1) -1) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))) (* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n))))) (cbrt (/ -1 (/ (- f n) (+ f n)))) (* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))) (- -1) (- (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (cbrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ (cbrt -1) (/ (cbrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1)) (/ (cbrt -1) (/ (cbrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (sqrt (- f n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (sqrt (- f n)) 1)) (/ (cbrt -1) (/ (sqrt (- f n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (+ (sqrt f) (sqrt n)) 1)) (/ (cbrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (/ (- f n) (cbrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (/ (- f n) (sqrt (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (/ (- f n) (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (/ 1 (+ f n))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (+ (pow f 3) (pow n 3)))) (/ (cbrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n)))) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (sqrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (sqrt -1) (/ (* 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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 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt 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 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (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 -1 1 1 5.154 * * [simplify]: Extracting # 0 : cost 0 5.155 * * [simplify]: Extracting # 1 : cost 0 5.155 * * [simplify]: Extracting # 2 : cost 0 5.155 * * [simplify]: Extracting # 3 : cost 0 5.155 * * [simplify]: Extracting # 4 : cost 0 5.156 * * [simplify]: Extracting # 5 : cost 0 5.156 * * [simplify]: Extracting # 6 : cost 0 5.156 * * [simplify]: Extracting # 7 : cost 0 5.157 * * [simplify]: iteration 0 : 219 enodes (cost 2920 ) 5.244 * * [simplify]: Extracting # 0 : cost 0 5.245 * * [simplify]: Extracting # 1 : cost 0 5.247 * * [simplify]: Extracting # 2 : cost 0 5.248 * * [simplify]: Extracting # 3 : cost 0 5.249 * * [simplify]: Extracting # 4 : cost 0 5.251 * * [simplify]: iteration 1 : 505 enodes (cost 2711 ) 5.480 * * [simplify]: Extracting # 0 : cost 0 5.484 * * [simplify]: Extracting # 1 : cost 0 5.494 * * [simplify]: Extracting # 2 : cost 0 5.496 * * [simplify]: Extracting # 3 : cost 0 5.498 * * [simplify]: iteration 2 : 1743 enodes (cost 2581 ) 6.642 * * [simplify]: Extracting # 0 : cost 0 6.654 * * [simplify]: Extracting # 1 : cost 0 6.664 * * [simplify]: Extracting # 2 : cost 0 6.675 * * [simplify]: Extracting # 3 : cost 0 6.686 * * [simplify]: Extracting # 4 : cost 0 6.698 * * [simplify]: iteration done: 5000 enodes (cost 2567 ) 6.700 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 (/ (- n f) (+ f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) 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(sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (+ (pow f 3) (pow n 3)) (- f n)) (/ -1 (+ (* f f) (* n (- n f)))) (/ (- (* f f) (* n n)) (- f n)) (/ -1 (- f n)) (/ (+ f n) (- f n)) (/ (- f n) (- (+ f n))) (/ -1 (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ -1 (sqrt (/ (- f n) (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- 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)) (cbrt (- f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (pow n 3) (pow f 3))) (- f n)) (* (/ (- (+ f n)) (- f n)) (- f n)) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (- f n) (- (+ f n))) (/ -1 (- f n)) (log (/ (- f n) (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (pow (/ (- f n) (+ f n)) 3) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- n f) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))) (/ (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)) (/ (sqrt (- f n)) (+ f n)) (sqrt (- f n)) (/ (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 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt 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 (/ (- f n) (+ f n)) 1 (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow n 3) (pow f 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* n (+ f n)) (* f f))) (* (+ f n) (+ f n)) 1 -1 -1 -1 1 1 6.703 * * * [progress]: adding candidates to table 7.107 * * [progress]: iteration 3 / 4 7.107 * * * [progress]: picking best candidate 7.115 * * * * [pick]: Picked # 7.115 * * * [progress]: localizing error 7.127 * * * [progress]: generating rewritten candidates 7.127 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 7.182 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 7.212 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 7.330 * * * [progress]: generating series expansions 7.330 * * * * [progress]: [ 1 / 3 ] generating series at (2) 7.331 * [backup-simplify]: Simplify (/ (/ -1 (- f n)) (/ 1 (+ f n))) into (* -1 (/ (+ n f) (- f n))) 7.331 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.331 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.331 * [taylor]: Taking taylor expansion of -1 in n 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.331 * [taylor]: Taking taylor expansion of (+ n f) in n 7.331 * [taylor]: Taking taylor expansion of n in n 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [taylor]: Taking taylor expansion of f in n 7.331 * [backup-simplify]: Simplify f into f 7.331 * [taylor]: Taking taylor expansion of (- f n) in n 7.331 * [taylor]: Taking taylor expansion of f in n 7.331 * [backup-simplify]: Simplify f into f 7.331 * [taylor]: Taking taylor expansion of n in n 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (+ 0 f) into f 7.332 * [backup-simplify]: Simplify (- 0) into 0 7.332 * [backup-simplify]: Simplify (+ f 0) into f 7.332 * [backup-simplify]: Simplify (/ f f) into 1 7.332 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.332 * [taylor]: Taking taylor expansion of -1 in f 7.332 * [backup-simplify]: Simplify -1 into -1 7.332 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.332 * [taylor]: Taking taylor expansion of (+ n f) in f 7.332 * [taylor]: Taking taylor expansion of n in f 7.332 * [backup-simplify]: Simplify n into n 7.332 * [taylor]: Taking taylor expansion of f in f 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [taylor]: Taking taylor expansion of (- f n) in f 7.332 * [taylor]: Taking taylor expansion of f in f 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [taylor]: Taking taylor expansion of n in f 7.332 * [backup-simplify]: Simplify n into n 7.332 * [backup-simplify]: Simplify (+ n 0) into n 7.332 * [backup-simplify]: Simplify (- n) into (- n) 7.333 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.333 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.333 * [taylor]: Taking taylor expansion of -1 in f 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.333 * [taylor]: Taking taylor expansion of (+ n f) in f 7.333 * [taylor]: Taking taylor expansion of n in f 7.333 * [backup-simplify]: Simplify n into n 7.333 * [taylor]: Taking taylor expansion of f in f 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [taylor]: Taking taylor expansion of (- f n) in f 7.333 * [taylor]: Taking taylor expansion of f in f 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [taylor]: Taking taylor expansion of n in f 7.333 * [backup-simplify]: Simplify n into n 7.333 * [backup-simplify]: Simplify (+ n 0) into n 7.333 * [backup-simplify]: Simplify (- n) into (- n) 7.333 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.333 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.334 * [backup-simplify]: Simplify (* -1 -1) into 1 7.334 * [taylor]: Taking taylor expansion of 1 in n 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify (+ 0 1) into 1 7.335 * [backup-simplify]: Simplify (- 0) into 0 7.335 * [backup-simplify]: Simplify (+ 1 0) into 1 7.335 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.336 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.336 * [taylor]: Taking taylor expansion of 2 in n 7.336 * [backup-simplify]: Simplify 2 into 2 7.336 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.336 * [taylor]: Taking taylor expansion of n in n 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify 1 into 1 7.336 * [backup-simplify]: Simplify (/ 1 1) into 1 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (- 0) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.339 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.340 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.340 * [taylor]: Taking taylor expansion of 2 in n 7.340 * [backup-simplify]: Simplify 2 into 2 7.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.340 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.340 * [taylor]: Taking taylor expansion of n in n 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.341 * [backup-simplify]: Simplify (* 1 1) into 1 7.341 * [backup-simplify]: Simplify (/ 1 1) into 1 7.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.345 * [backup-simplify]: Simplify 0 into 0 7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.358 * [backup-simplify]: Simplify (+ 0 0) into 0 7.358 * [backup-simplify]: Simplify (- 0) into 0 7.358 * [backup-simplify]: Simplify (+ 0 0) into 0 7.359 * [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)))) 7.360 * [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))) 7.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.360 * [taylor]: Taking taylor expansion of 2 in n 7.360 * [backup-simplify]: Simplify 2 into 2 7.361 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.361 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.361 * [taylor]: Taking taylor expansion of n in n 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 1 into 1 7.361 * [backup-simplify]: Simplify (* 1 1) into 1 7.361 * [backup-simplify]: Simplify (* 1 1) into 1 7.362 * [backup-simplify]: Simplify (/ 1 1) into 1 7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.370 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify 1 into 1 7.371 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 f) (/ 1 n))) (/ 1 (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.371 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.371 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.371 * [taylor]: Taking taylor expansion of -1 in n 7.371 * [backup-simplify]: Simplify -1 into -1 7.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.371 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.371 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.371 * [taylor]: Taking taylor expansion of f in n 7.371 * [backup-simplify]: Simplify f into f 7.371 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.371 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.371 * [taylor]: Taking taylor expansion of n in n 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (/ 1 1) into 1 7.372 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.372 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.372 * [taylor]: Taking taylor expansion of f in n 7.372 * [backup-simplify]: Simplify f into f 7.372 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.372 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.372 * [taylor]: Taking taylor expansion of n in n 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (/ 1 1) into 1 7.373 * [backup-simplify]: Simplify (+ 0 1) into 1 7.373 * [backup-simplify]: Simplify (- 1) into -1 7.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.374 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.374 * [taylor]: Taking taylor expansion of -1 in f 7.374 * [backup-simplify]: Simplify -1 into -1 7.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.374 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.374 * [taylor]: Taking taylor expansion of f in f 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (/ 1 1) into 1 7.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.375 * [taylor]: Taking taylor expansion of n in f 7.375 * [backup-simplify]: Simplify n into n 7.375 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.375 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.375 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.375 * [taylor]: Taking taylor expansion of f in f 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (/ 1 1) into 1 7.375 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.375 * [taylor]: Taking taylor expansion of n in f 7.375 * [backup-simplify]: Simplify n into n 7.375 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.376 * [backup-simplify]: Simplify (+ 1 0) into 1 7.376 * [backup-simplify]: Simplify (+ 1 0) into 1 7.376 * [backup-simplify]: Simplify (/ 1 1) into 1 7.376 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.377 * [taylor]: Taking taylor expansion of -1 in f 7.377 * [backup-simplify]: Simplify -1 into -1 7.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.377 * [taylor]: Taking taylor expansion of f in f 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.377 * [taylor]: Taking taylor expansion of n in f 7.377 * [backup-simplify]: Simplify n into n 7.377 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.377 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.377 * [taylor]: Taking taylor expansion of f in f 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.378 * [backup-simplify]: Simplify (/ 1 1) into 1 7.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.378 * [taylor]: Taking taylor expansion of n in f 7.378 * [backup-simplify]: Simplify n into n 7.378 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.378 * [backup-simplify]: Simplify (+ 1 0) into 1 7.379 * [backup-simplify]: Simplify (+ 1 0) into 1 7.379 * [backup-simplify]: Simplify (/ 1 1) into 1 7.379 * [backup-simplify]: Simplify (* -1 1) into -1 7.379 * [taylor]: Taking taylor expansion of -1 in n 7.379 * [backup-simplify]: Simplify -1 into -1 7.380 * [backup-simplify]: Simplify -1 into -1 7.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.380 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.381 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.381 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.381 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.382 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.382 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.382 * [taylor]: Taking taylor expansion of 2 in n 7.382 * [backup-simplify]: Simplify 2 into 2 7.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.382 * [taylor]: Taking taylor expansion of n in n 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 1 into 1 7.383 * [backup-simplify]: Simplify (/ 1 1) into 1 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.384 * [backup-simplify]: Simplify (- 0) into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.386 * [backup-simplify]: Simplify (+ 0 0) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.388 * [backup-simplify]: Simplify (- 0) into 0 7.388 * [backup-simplify]: Simplify (+ 0 0) into 0 7.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.390 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.390 * [taylor]: Taking taylor expansion of 2 in n 7.391 * [backup-simplify]: Simplify 2 into 2 7.391 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.391 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.391 * [taylor]: Taking taylor expansion of n in n 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (* 1 1) into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.396 * [backup-simplify]: Simplify (- 0) into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.398 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.401 * [backup-simplify]: Simplify (- 0) into 0 7.401 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [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))) 7.404 * [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)))) 7.404 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.404 * [taylor]: Taking taylor expansion of 2 in n 7.404 * [backup-simplify]: Simplify 2 into 2 7.404 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.404 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.404 * [taylor]: Taking taylor expansion of n in n 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.405 * [backup-simplify]: Simplify (* 1 1) into 1 7.405 * [backup-simplify]: Simplify (* 1 1) into 1 7.405 * [backup-simplify]: Simplify (/ 1 1) into 1 7.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (- 0) into 0 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify -1 into -1 7.416 * [backup-simplify]: Simplify (/ (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.416 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.416 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.416 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.416 * [taylor]: Taking taylor expansion of f in n 7.416 * [backup-simplify]: Simplify f into f 7.416 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.416 * [taylor]: Taking taylor expansion of n in n 7.416 * [backup-simplify]: Simplify 0 into 0 7.416 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (/ 1 1) into 1 7.417 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.417 * [taylor]: Taking taylor expansion of n in n 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (/ 1 1) into 1 7.417 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.417 * [taylor]: Taking taylor expansion of f in n 7.417 * [backup-simplify]: Simplify f into f 7.417 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.418 * [backup-simplify]: Simplify (+ 0 1) into 1 7.418 * [backup-simplify]: Simplify (+ 1 0) into 1 7.418 * [backup-simplify]: Simplify (/ 1 1) into 1 7.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.419 * [taylor]: Taking taylor expansion of f in f 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.419 * [backup-simplify]: Simplify (/ 1 1) into 1 7.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.419 * [taylor]: Taking taylor expansion of n in f 7.419 * [backup-simplify]: Simplify n into n 7.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.419 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.419 * [taylor]: Taking taylor expansion of n in f 7.419 * [backup-simplify]: Simplify n into n 7.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.419 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.419 * [taylor]: Taking taylor expansion of f in f 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.420 * [backup-simplify]: Simplify (/ 1 1) into 1 7.420 * [backup-simplify]: Simplify (+ 1 0) into 1 7.421 * [backup-simplify]: Simplify (- 1) into -1 7.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.421 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.422 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.422 * [taylor]: Taking taylor expansion of f in f 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 1 into 1 7.422 * [backup-simplify]: Simplify (/ 1 1) into 1 7.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.422 * [taylor]: Taking taylor expansion of n in f 7.422 * [backup-simplify]: Simplify n into n 7.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.422 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.422 * [taylor]: Taking taylor expansion of n in f 7.422 * [backup-simplify]: Simplify n into n 7.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.422 * [taylor]: Taking taylor expansion of f in f 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (/ 1 1) into 1 7.423 * [backup-simplify]: Simplify (+ 1 0) into 1 7.424 * [backup-simplify]: Simplify (- 1) into -1 7.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.424 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.425 * [taylor]: Taking taylor expansion of -1 in n 7.425 * [backup-simplify]: Simplify -1 into -1 7.425 * [backup-simplify]: Simplify -1 into -1 7.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.425 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.427 * [backup-simplify]: Simplify (- 0) into 0 7.427 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.427 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.427 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.427 * [taylor]: Taking taylor expansion of 2 in n 7.427 * [backup-simplify]: Simplify 2 into 2 7.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.427 * [taylor]: Taking taylor expansion of n in n 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [backup-simplify]: Simplify (/ 1 1) into 1 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.429 * [backup-simplify]: Simplify (- 0) into 0 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.431 * [backup-simplify]: Simplify (+ 0 0) into 0 7.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.432 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.434 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.434 * [taylor]: Taking taylor expansion of 2 in n 7.434 * [backup-simplify]: Simplify 2 into 2 7.434 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.434 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.434 * [taylor]: Taking taylor expansion of n in n 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.434 * [backup-simplify]: Simplify (* 1 1) into 1 7.435 * [backup-simplify]: Simplify (/ 1 1) into 1 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.439 * [backup-simplify]: Simplify (- 0) into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.441 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.441 * [backup-simplify]: Simplify (- 0) into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.443 * [backup-simplify]: Simplify (+ 0 0) into 0 7.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.444 * [backup-simplify]: Simplify (- 0) into 0 7.444 * [backup-simplify]: Simplify (+ 0 0) into 0 7.446 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.446 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.446 * [taylor]: Taking taylor expansion of 2 in n 7.446 * [backup-simplify]: Simplify 2 into 2 7.446 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.446 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.446 * [taylor]: Taking taylor expansion of n in n 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (* 1 1) into 1 7.447 * [backup-simplify]: Simplify (* 1 1) into 1 7.447 * [backup-simplify]: Simplify (/ 1 1) into 1 7.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (- 0) into 0 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify -1 into -1 7.455 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 7.456 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 7.456 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 7.456 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 7.456 * [taylor]: Taking taylor expansion of -1 in n 7.456 * [backup-simplify]: Simplify -1 into -1 7.456 * [taylor]: Taking taylor expansion of (- f n) in n 7.456 * [taylor]: Taking taylor expansion of f in n 7.456 * [backup-simplify]: Simplify f into f 7.456 * [taylor]: Taking taylor expansion of n in n 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify (- 0) into 0 7.456 * [backup-simplify]: Simplify (+ f 0) into f 7.456 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 7.456 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 7.456 * [taylor]: Taking taylor expansion of -1 in f 7.456 * [backup-simplify]: Simplify -1 into -1 7.456 * [taylor]: Taking taylor expansion of (- f n) in f 7.456 * [taylor]: Taking taylor expansion of f in f 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [taylor]: Taking taylor expansion of n in f 7.457 * [backup-simplify]: Simplify n into n 7.457 * [backup-simplify]: Simplify (- n) into (- n) 7.457 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.457 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 7.457 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 7.457 * [taylor]: Taking taylor expansion of -1 in f 7.457 * [backup-simplify]: Simplify -1 into -1 7.457 * [taylor]: Taking taylor expansion of (- f n) in f 7.457 * [taylor]: Taking taylor expansion of f in f 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [taylor]: Taking taylor expansion of n in f 7.457 * [backup-simplify]: Simplify n into n 7.457 * [backup-simplify]: Simplify (- n) into (- n) 7.457 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.457 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 7.457 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.457 * [taylor]: Taking taylor expansion of n in n 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.458 * [backup-simplify]: Simplify (/ 1 1) into 1 7.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.458 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify (- 0) into 0 7.459 * [backup-simplify]: Simplify (+ 1 0) into 1 7.459 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 7.459 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.459 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.459 * [taylor]: Taking taylor expansion of n in n 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 1 into 1 7.460 * [backup-simplify]: Simplify (* 1 1) into 1 7.460 * [backup-simplify]: Simplify (/ 1 1) into 1 7.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify (- 0) into 0 7.463 * [backup-simplify]: Simplify (+ 0 0) into 0 7.463 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 7.463 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.463 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.463 * [taylor]: Taking taylor expansion of n in n 7.463 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (* 1 1) into 1 7.464 * [backup-simplify]: Simplify (* 1 1) into 1 7.464 * [backup-simplify]: Simplify (/ 1 1) into 1 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 7.471 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 7.471 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 7.471 * [taylor]: Taking taylor expansion of -1 in n 7.471 * [backup-simplify]: Simplify -1 into -1 7.471 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.471 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.471 * [taylor]: Taking taylor expansion of f in n 7.471 * [backup-simplify]: Simplify f into f 7.471 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.471 * [taylor]: Taking taylor expansion of n in n 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (/ 1 1) into 1 7.471 * [backup-simplify]: Simplify (- 1) into -1 7.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.472 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.472 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 7.472 * [taylor]: Taking taylor expansion of -1 in f 7.472 * [backup-simplify]: Simplify -1 into -1 7.472 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.472 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.472 * [taylor]: Taking taylor expansion of f in f 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (/ 1 1) into 1 7.472 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.472 * [taylor]: Taking taylor expansion of n in f 7.472 * [backup-simplify]: Simplify n into n 7.472 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.472 * [backup-simplify]: Simplify (+ 1 0) into 1 7.473 * [backup-simplify]: Simplify (/ -1 1) into -1 7.473 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 7.473 * [taylor]: Taking taylor expansion of -1 in f 7.473 * [backup-simplify]: Simplify -1 into -1 7.473 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.473 * [taylor]: Taking taylor expansion of f in f 7.473 * [backup-simplify]: Simplify 0 into 0 7.473 * [backup-simplify]: Simplify 1 into 1 7.473 * [backup-simplify]: Simplify (/ 1 1) into 1 7.473 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.473 * [taylor]: Taking taylor expansion of n in f 7.473 * [backup-simplify]: Simplify n into n 7.473 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.473 * [backup-simplify]: Simplify (+ 1 0) into 1 7.474 * [backup-simplify]: Simplify (/ -1 1) into -1 7.474 * [taylor]: Taking taylor expansion of -1 in n 7.474 * [backup-simplify]: Simplify -1 into -1 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.474 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.474 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 7.475 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.475 * [taylor]: Taking taylor expansion of n in n 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify 1 into 1 7.475 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (- 0) into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.477 * [backup-simplify]: Simplify (- 0) into 0 7.478 * [backup-simplify]: Simplify (+ 0 0) into 0 7.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 7.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.478 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.478 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.478 * [taylor]: Taking taylor expansion of n in n 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify 1 into 1 7.479 * [backup-simplify]: Simplify (* 1 1) into 1 7.479 * [backup-simplify]: Simplify (/ 1 1) into 1 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (- 0) into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (- 0) into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 7.487 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.487 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 7.487 * [taylor]: Taking taylor expansion of -1 in n 7.487 * [backup-simplify]: Simplify -1 into -1 7.487 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.487 * [taylor]: Taking taylor expansion of n in n 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 1 into 1 7.488 * [backup-simplify]: Simplify (/ 1 1) into 1 7.488 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.488 * [taylor]: Taking taylor expansion of f in n 7.488 * [backup-simplify]: Simplify f into f 7.488 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.488 * [backup-simplify]: Simplify (+ 1 0) into 1 7.489 * [backup-simplify]: Simplify (/ -1 1) into -1 7.489 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 7.489 * [taylor]: Taking taylor expansion of -1 in f 7.489 * [backup-simplify]: Simplify -1 into -1 7.489 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.489 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.489 * [taylor]: Taking taylor expansion of n in f 7.489 * [backup-simplify]: Simplify n into n 7.489 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.489 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.489 * [taylor]: Taking taylor expansion of f in f 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (/ 1 1) into 1 7.490 * [backup-simplify]: Simplify (- 1) into -1 7.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.491 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.491 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 7.491 * [taylor]: Taking taylor expansion of -1 in f 7.491 * [backup-simplify]: Simplify -1 into -1 7.491 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.491 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.491 * [taylor]: Taking taylor expansion of n in f 7.491 * [backup-simplify]: Simplify n into n 7.491 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.491 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.491 * [taylor]: Taking taylor expansion of f in f 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ 1 1) into 1 7.492 * [backup-simplify]: Simplify (- 1) into -1 7.492 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.493 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.493 * [taylor]: Taking taylor expansion of 1 in n 7.493 * [backup-simplify]: Simplify 1 into 1 7.493 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (- 0) into 0 7.494 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.495 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 7.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.495 * [taylor]: Taking taylor expansion of n in n 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.495 * [backup-simplify]: Simplify (/ 1 1) into 1 7.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (- 0) into 0 7.499 * [backup-simplify]: Simplify (+ 0 0) into 0 7.500 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 7.500 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.500 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.500 * [taylor]: Taking taylor expansion of n in n 7.500 * [backup-simplify]: Simplify 0 into 0 7.500 * [backup-simplify]: Simplify 1 into 1 7.500 * [backup-simplify]: Simplify (* 1 1) into 1 7.501 * [backup-simplify]: Simplify (/ 1 1) into 1 7.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 7.508 * [backup-simplify]: Simplify (/ 1 (+ f n)) into (/ 1 (+ n f)) 7.508 * [approximate]: Taking taylor expansion of (/ 1 (+ n f)) in (f n) around 0 7.508 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in n 7.508 * [taylor]: Taking taylor expansion of (+ n f) in n 7.508 * [taylor]: Taking taylor expansion of n in n 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [taylor]: Taking taylor expansion of f in n 7.508 * [backup-simplify]: Simplify f into f 7.508 * [backup-simplify]: Simplify (+ 0 f) into f 7.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.508 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 7.508 * [taylor]: Taking taylor expansion of (+ n f) in f 7.508 * [taylor]: Taking taylor expansion of n in f 7.508 * [backup-simplify]: Simplify n into n 7.508 * [taylor]: Taking taylor expansion of f in f 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (+ n 0) into n 7.508 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.508 * [taylor]: Taking taylor expansion of (/ 1 (+ n f)) in f 7.508 * [taylor]: Taking taylor expansion of (+ n f) in f 7.508 * [taylor]: Taking taylor expansion of n in f 7.508 * [backup-simplify]: Simplify n into n 7.509 * [taylor]: Taking taylor expansion of f in f 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (+ n 0) into n 7.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.509 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.509 * [taylor]: Taking taylor expansion of n in n 7.509 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify 1 into 1 7.509 * [backup-simplify]: Simplify (/ 1 1) into 1 7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify (+ 0 1) into 1 7.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.511 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.511 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.511 * [taylor]: Taking taylor expansion of n in n 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [backup-simplify]: Simplify (* 1 1) into 1 7.512 * [backup-simplify]: Simplify (/ 1 1) into 1 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify (- 0) into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (+ 0 0) into 0 7.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.515 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.515 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.515 * [taylor]: Taking taylor expansion of n in n 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 1 into 1 7.515 * [backup-simplify]: Simplify (* 1 1) into 1 7.516 * [backup-simplify]: Simplify (* 1 1) into 1 7.516 * [backup-simplify]: Simplify (/ 1 1) into 1 7.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (- 0) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 f) (/ 1 n))) into (/ 1 (+ (/ 1 f) (/ 1 n))) 7.522 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 7.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in n 7.522 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.522 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.522 * [taylor]: Taking taylor expansion of f in n 7.522 * [backup-simplify]: Simplify f into f 7.522 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.522 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.522 * [taylor]: Taking taylor expansion of n in n 7.522 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify 1 into 1 7.523 * [backup-simplify]: Simplify (/ 1 1) into 1 7.523 * [backup-simplify]: Simplify (+ 0 1) into 1 7.523 * [backup-simplify]: Simplify (/ 1 1) into 1 7.523 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 7.523 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.523 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.523 * [taylor]: Taking taylor expansion of f in f 7.523 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify 1 into 1 7.524 * [backup-simplify]: Simplify (/ 1 1) into 1 7.524 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.524 * [taylor]: Taking taylor expansion of n in f 7.524 * [backup-simplify]: Simplify n into n 7.524 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.524 * [backup-simplify]: Simplify (+ 1 0) into 1 7.524 * [backup-simplify]: Simplify (/ 1 1) into 1 7.524 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 f) (/ 1 n))) in f 7.524 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.524 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.524 * [taylor]: Taking taylor expansion of f in f 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 1 into 1 7.525 * [backup-simplify]: Simplify (/ 1 1) into 1 7.525 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.525 * [taylor]: Taking taylor expansion of n in f 7.525 * [backup-simplify]: Simplify n into n 7.525 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.525 * [backup-simplify]: Simplify (+ 1 0) into 1 7.525 * [backup-simplify]: Simplify (/ 1 1) into 1 7.525 * [taylor]: Taking taylor expansion of 1 in n 7.525 * [backup-simplify]: Simplify 1 into 1 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 7.526 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.526 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.526 * [taylor]: Taking taylor expansion of n in n 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify 1 into 1 7.526 * [backup-simplify]: Simplify (/ 1 1) into 1 7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (- 0) into 0 7.528 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 7.529 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.529 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.529 * [taylor]: Taking taylor expansion of n in n 7.529 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify 1 into 1 7.529 * [backup-simplify]: Simplify (* 1 1) into 1 7.530 * [backup-simplify]: Simplify (/ 1 1) into 1 7.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (- 0) into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (+ (/ 1 f) (/ 1 n))) 7.533 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in (f n) around 0 7.533 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in n 7.534 * [taylor]: Taking taylor expansion of -1 in n 7.534 * [backup-simplify]: Simplify -1 into -1 7.534 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.534 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.534 * [taylor]: Taking taylor expansion of f in n 7.534 * [backup-simplify]: Simplify f into f 7.534 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.534 * [taylor]: Taking taylor expansion of n in n 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 1 into 1 7.534 * [backup-simplify]: Simplify (/ 1 1) into 1 7.534 * [backup-simplify]: Simplify (+ 0 1) into 1 7.534 * [backup-simplify]: Simplify (/ -1 1) into -1 7.534 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 7.534 * [taylor]: Taking taylor expansion of -1 in f 7.535 * [backup-simplify]: Simplify -1 into -1 7.535 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.535 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.535 * [taylor]: Taking taylor expansion of f in f 7.535 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 1 into 1 7.535 * [backup-simplify]: Simplify (/ 1 1) into 1 7.535 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.535 * [taylor]: Taking taylor expansion of n in f 7.535 * [backup-simplify]: Simplify n into n 7.535 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.535 * [backup-simplify]: Simplify (+ 1 0) into 1 7.535 * [backup-simplify]: Simplify (/ -1 1) into -1 7.535 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 f) (/ 1 n))) in f 7.535 * [taylor]: Taking taylor expansion of -1 in f 7.535 * [backup-simplify]: Simplify -1 into -1 7.536 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.536 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.536 * [taylor]: Taking taylor expansion of f in f 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [backup-simplify]: Simplify (/ 1 1) into 1 7.536 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.536 * [taylor]: Taking taylor expansion of n in f 7.536 * [backup-simplify]: Simplify n into n 7.536 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.536 * [backup-simplify]: Simplify (+ 1 0) into 1 7.536 * [backup-simplify]: Simplify (/ -1 1) into -1 7.537 * [taylor]: Taking taylor expansion of -1 in n 7.537 * [backup-simplify]: Simplify -1 into -1 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.537 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 n) 1)))) into (/ 1 n) 7.537 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.537 * [taylor]: Taking taylor expansion of n in n 7.537 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (/ 1 1) into 1 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.540 * [backup-simplify]: Simplify (+ 0 0) into 0 7.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 n) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 2))) 7.540 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.540 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.540 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.540 * [taylor]: Taking taylor expansion of n in n 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 1 into 1 7.541 * [backup-simplify]: Simplify (* 1 1) into 1 7.541 * [backup-simplify]: Simplify (/ 1 1) into 1 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.546 * [backup-simplify]: Simplify (- 0) into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * * * [progress]: simplifying candidates 7.562 * [simplify]: Simplifying: (- (- (log -1) (log (- f n))) (- (log (+ f n)))) (- (- (log -1) (log (- f n))) (- 0 (log (+ f n)))) (- (- (log -1) (log (- f n))) (- (log 1) (log (+ f n)))) (- (- (log -1) (log (- f n))) (log (/ 1 (+ f n)))) (- (log (/ -1 (- f n))) (- (log (+ f n)))) (- (log (/ -1 (- f n))) (- 0 (log (+ f 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(cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ f n)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ f n)) (/ (sqrt 1) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt 1) (cbrt (+ f n))) (/ (sqrt 1) (sqrt (+ f n))) (/ (sqrt 1) (sqrt (+ f n))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ f n)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ 1 1) (/ 1 (+ f n)) (/ 1 1) (/ 1 (+ f n)) (/ 1 (+ f n)) (/ (+ f n) 1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ 1 1) (/ 1 1) (/ (+ f n) (cbrt 1)) (/ (+ f n) (sqrt 1)) (/ (+ f n) 1) (/ 1 (+ (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 0 0 0 7.579 * * [simplify]: Extracting # 0 : cost 0 7.585 * * [simplify]: Extracting # 1 : cost 0 7.587 * * [simplify]: Extracting # 2 : cost 0 7.588 * * [simplify]: Extracting # 3 : cost 0 7.591 * * [simplify]: Extracting # 4 : cost 0 7.593 * * [simplify]: Extracting # 5 : cost 0 7.596 * * [simplify]: Extracting # 6 : cost 0 7.598 * * [simplify]: Extracting # 7 : cost 0 7.602 * * [simplify]: iteration 0 : 640 enodes (cost 12549 ) 8.089 * * [simplify]: Extracting # 0 : cost 0 8.092 * * [simplify]: Extracting # 1 : cost 0 8.094 * * [simplify]: Extracting # 2 : cost 0 8.095 * * [simplify]: Extracting # 3 : cost 0 8.097 * * [simplify]: Extracting # 4 : cost 0 8.099 * * [simplify]: iteration 1 : 1773 enodes (cost 10301 ) 8.879 * * [simplify]: Extracting # 0 : cost 0 8.886 * * [simplify]: Extracting # 1 : cost 0 8.891 * * [simplify]: Extracting # 2 : cost 0 8.895 * * [simplify]: Extracting # 3 : cost 0 8.900 * * [simplify]: iteration 2 : 4577 enodes (cost 9520 ) 10.015 * * [simplify]: Extracting # 0 : cost 0 10.030 * * [simplify]: Extracting # 1 : cost 0 10.035 * * [simplify]: Extracting # 2 : cost 0 10.040 * * [simplify]: iteration done: 5000 enodes (cost 9520 ) 10.044 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f 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(- f n))) (* (+ f n) (sqrt (+ f n))) (/ -1 (* (+ f n) (- f n))) (* (+ f n) (+ f n)) (/ -1 (* (+ f n) (- f n))) (* (+ f n) (+ f n)) (/ -1 (* (+ f n) (- f n))) (* (+ f n) (+ f n)) (/ -1 (* (+ f n) (- f n))) (* (+ f n) (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (* (+ f n) (- f n))) (/ (+ f n) (+ (* f f) (* n (- n f)))) -1 (/ (+ f n) (- f n)) (+ f n) (/ (/ (- f n) (+ f n)) -1) (/ (/ -1 (- f n)) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n))))) (/ (/ -1 (- f n)) (sqrt (/ 1 (+ f n)))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (* (/ (- (+ f n)) (- f n)) (- f n)) (/ (/ 1 (+ f n)) (cbrt (/ -1 (- f n)))) (/ (/ 1 (+ f n)) (sqrt (/ -1 (- f n)))) (/ (/ 1 (+ f n)) (/ (cbrt -1) (cbrt (- f n)))) (/ (/ (sqrt (- f n)) (+ f n)) (cbrt -1)) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ 1 (+ f n)) (/ (cbrt -1) (- (sqrt f) (sqrt n)))) (/ (/ (- f n) (+ f n)) (cbrt -1)) (/ (/ 1 (+ f n)) (/ (sqrt -1) (cbrt (- f n)))) (/ (/ (sqrt (- f n)) (+ f n)) (sqrt -1)) (/ (/ (- f n) (+ f n)) (sqrt -1)) (/ (/ 1 (+ f n)) (/ (sqrt -1) (- (sqrt f) (sqrt n)))) (/ (/ (- f n) (+ f n)) (sqrt -1)) (* (/ 1 (- (+ f n))) (cbrt (- f n))) (/ (/ (sqrt (- f n)) (+ f n)) -1) (/ (/ (- f n) (+ f n)) -1) (* (/ 1 (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (/ (- f n) (+ f n)) -1) (/ (/ (- f n) (+ f n)) -1) (/ (- f n) (+ f n)) (/ (/ 1 (+ f n)) (+ (* f f) (* n (+ f n)))) (/ (/ 1 (+ f n)) (+ f n)) (/ -1 (- f n)) (/ (- f n) (+ f n)) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (/ (sqrt -1) (cbrt (- f n))) (cbrt (- f n))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (* (+ f n) (- f n))) -1 (- (log (+ f n))) (- (log (+ f n))) (- (log (+ f n))) (- (log (+ f n))) (exp (/ 1 (+ f n))) (pow (/ 1 (+ f n)) 3) (* (cbrt (/ 1 (+ f n))) (cbrt (/ 1 (+ f n)))) (cbrt (/ 1 (+ f n))) (pow (/ 1 (+ f n)) 3) (sqrt (/ 1 (+ f n))) (sqrt (/ 1 (+ f n))) -1 (- (+ f n)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))) 1 (/ 1 (+ f n)) 1 (/ 1 (+ f n)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))) 1 (/ 1 (+ f n)) 1 (/ 1 (+ f n)) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ 1 (sqrt (+ f n))) 1 (/ 1 (+ f n)) 1 (/ 1 (+ f n)) (/ 1 (+ f n)) (+ f n) (/ (/ 1 (cbrt (+ f n))) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) 1 1 (+ f n) (+ f n) (+ f n) (/ 1 (+ (pow f 3) (pow n 3))) (/ 1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 0 0 0 10.052 * * * [progress]: adding candidates to table 10.888 * * [progress]: iteration 4 / 4 10.888 * * * [progress]: picking best candidate 10.894 * * * * [pick]: Picked # 10.894 * * * [progress]: localizing error 10.910 * * * [progress]: generating rewritten candidates 10.910 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 11.011 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 11.053 * * * [progress]: generating series expansions 11.053 * * * * [progress]: [ 1 / 2 ] generating series at (2) 11.056 * [backup-simplify]: Simplify (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1))) into (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) 11.056 * [approximate]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in (f n) around 0 11.056 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in n 11.056 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ n f)) in n 11.056 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 11.056 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.056 * [taylor]: Taking taylor expansion of -1 in n 11.056 * [backup-simplify]: Simplify -1 into -1 11.057 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.057 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.058 * [taylor]: Taking taylor expansion of (+ n f) in n 11.058 * [taylor]: Taking taylor expansion of n in n 11.058 * [backup-simplify]: Simplify 0 into 0 11.058 * [backup-simplify]: Simplify 1 into 1 11.058 * [taylor]: Taking taylor expansion of f in n 11.058 * [backup-simplify]: Simplify f into f 11.058 * [taylor]: Taking taylor expansion of (- f n) in n 11.058 * [taylor]: Taking taylor expansion of f in n 11.058 * [backup-simplify]: Simplify f into f 11.058 * [taylor]: Taking taylor expansion of n in n 11.058 * [backup-simplify]: Simplify 0 into 0 11.058 * [backup-simplify]: Simplify 1 into 1 11.059 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.061 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.061 * [backup-simplify]: Simplify (+ 0 f) into f 11.062 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) f) into (* -1 f) 11.063 * [backup-simplify]: Simplify (- 0) into 0 11.063 * [backup-simplify]: Simplify (+ f 0) into f 11.063 * [backup-simplify]: Simplify (/ (* -1 f) f) into -1 11.063 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in f 11.063 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ n f)) in f 11.063 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 11.063 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.063 * [taylor]: Taking taylor expansion of -1 in f 11.063 * [backup-simplify]: Simplify -1 into -1 11.064 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.064 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.064 * [taylor]: Taking taylor expansion of (+ n f) in f 11.065 * [taylor]: Taking taylor expansion of n in f 11.065 * [backup-simplify]: Simplify n into n 11.065 * [taylor]: Taking taylor expansion of f in f 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [taylor]: Taking taylor expansion of (- f n) in f 11.065 * [taylor]: Taking taylor expansion of f in f 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [taylor]: Taking taylor expansion of n in f 11.065 * [backup-simplify]: Simplify n into n 11.066 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.069 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.069 * [backup-simplify]: Simplify (+ n 0) into n 11.070 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) n) into (* -1 n) 11.070 * [backup-simplify]: Simplify (- n) into (- n) 11.070 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.070 * [backup-simplify]: Simplify (/ (* -1 n) (- n)) into 1 11.070 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in f 11.071 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ n f)) in f 11.071 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 11.071 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.071 * [taylor]: Taking taylor expansion of -1 in f 11.071 * [backup-simplify]: Simplify -1 into -1 11.071 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.072 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.072 * [taylor]: Taking taylor expansion of (+ n f) in f 11.072 * [taylor]: Taking taylor expansion of n in f 11.072 * [backup-simplify]: Simplify n into n 11.072 * [taylor]: Taking taylor expansion of f in f 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify 1 into 1 11.072 * [taylor]: Taking taylor expansion of (- f n) in f 11.072 * [taylor]: Taking taylor expansion of f in f 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify 1 into 1 11.072 * [taylor]: Taking taylor expansion of n in f 11.072 * [backup-simplify]: Simplify n into n 11.074 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.076 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.076 * [backup-simplify]: Simplify (+ n 0) into n 11.077 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) n) into (* -1 n) 11.078 * [backup-simplify]: Simplify (- n) into (- n) 11.078 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.078 * [backup-simplify]: Simplify (/ (* -1 n) (- n)) into 1 11.078 * [taylor]: Taking taylor expansion of 1 in n 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [backup-simplify]: Simplify 1 into 1 11.078 * [backup-simplify]: Simplify (+ 0 1) into 1 11.079 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.080 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 11.082 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1) (* 0 n)) into (- 1) 11.083 * [backup-simplify]: Simplify (- 0) into 0 11.083 * [backup-simplify]: Simplify (+ 1 0) into 1 11.084 * [backup-simplify]: Simplify (- (/ (- 1) (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) 11.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.084 * [taylor]: Taking taylor expansion of 2 in n 11.084 * [backup-simplify]: Simplify 2 into 2 11.084 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.084 * [taylor]: Taking taylor expansion of n in n 11.084 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify 1 into 1 11.084 * [backup-simplify]: Simplify (/ 1 1) into 1 11.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.086 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.086 * [backup-simplify]: Simplify 0 into 0 11.086 * [backup-simplify]: Simplify 0 into 0 11.087 * [backup-simplify]: Simplify (+ 0 0) into 0 11.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.090 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.091 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 11.092 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 1) (* 0 n))) into 0 11.093 * [backup-simplify]: Simplify (- 0) into 0 11.093 * [backup-simplify]: Simplify (+ 0 0) into 0 11.094 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 2))) 11.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.094 * [taylor]: Taking taylor expansion of 2 in n 11.094 * [backup-simplify]: Simplify 2 into 2 11.094 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.094 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.094 * [taylor]: Taking taylor expansion of n in n 11.094 * [backup-simplify]: Simplify 0 into 0 11.094 * [backup-simplify]: Simplify 1 into 1 11.094 * [backup-simplify]: Simplify (* 1 1) into 1 11.095 * [backup-simplify]: Simplify (/ 1 1) into 1 11.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.098 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.099 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.099 * [backup-simplify]: Simplify 0 into 0 11.099 * [backup-simplify]: Simplify 0 into 0 11.100 * [backup-simplify]: Simplify (+ 0 0) into 0 11.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.101 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.102 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 11.103 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 11.103 * [backup-simplify]: Simplify (- 0) into 0 11.104 * [backup-simplify]: Simplify (+ 0 0) into 0 11.104 * [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))) 11.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.104 * [taylor]: Taking taylor expansion of 2 in n 11.104 * [backup-simplify]: Simplify 2 into 2 11.104 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.104 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.104 * [taylor]: Taking taylor expansion of n in n 11.104 * [backup-simplify]: Simplify 0 into 0 11.105 * [backup-simplify]: Simplify 1 into 1 11.105 * [backup-simplify]: Simplify (* 1 1) into 1 11.105 * [backup-simplify]: Simplify (* 1 1) into 1 11.105 * [backup-simplify]: Simplify (/ 1 1) into 1 11.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.111 * [backup-simplify]: Simplify 0 into 0 11.111 * [backup-simplify]: Simplify 1 into 1 11.112 * [backup-simplify]: Simplify (* (/ (* (cbrt -1) (cbrt -1)) (- (/ 1 f) (/ 1 n))) (* (+ (/ 1 f) (/ 1 n)) (cbrt -1))) into (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 11.112 * [approximate]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 11.112 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 11.112 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) in n 11.112 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 11.112 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.112 * [taylor]: Taking taylor expansion of -1 in n 11.112 * [backup-simplify]: Simplify -1 into -1 11.113 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.113 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.113 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.113 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.113 * [taylor]: Taking taylor expansion of f in n 11.113 * [backup-simplify]: Simplify f into f 11.113 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.113 * [taylor]: Taking taylor expansion of n in n 11.113 * [backup-simplify]: Simplify 0 into 0 11.113 * [backup-simplify]: Simplify 1 into 1 11.114 * [backup-simplify]: Simplify (/ 1 1) into 1 11.114 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.114 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.114 * [taylor]: Taking taylor expansion of f in n 11.114 * [backup-simplify]: Simplify f into f 11.114 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.114 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.114 * [taylor]: Taking taylor expansion of n in n 11.114 * [backup-simplify]: Simplify 0 into 0 11.114 * [backup-simplify]: Simplify 1 into 1 11.114 * [backup-simplify]: Simplify (/ 1 1) into 1 11.115 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.116 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.116 * [backup-simplify]: Simplify (+ 0 1) into 1 11.118 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 11.118 * [backup-simplify]: Simplify (- 1) into -1 11.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.119 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.119 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 11.119 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) in f 11.119 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 11.119 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.119 * [taylor]: Taking taylor expansion of -1 in f 11.119 * [backup-simplify]: Simplify -1 into -1 11.119 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.119 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.119 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.119 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.119 * [taylor]: Taking taylor expansion of f in f 11.119 * [backup-simplify]: Simplify 0 into 0 11.119 * [backup-simplify]: Simplify 1 into 1 11.120 * [backup-simplify]: Simplify (/ 1 1) into 1 11.120 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.120 * [taylor]: Taking taylor expansion of n in f 11.120 * [backup-simplify]: Simplify n into n 11.120 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.120 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.120 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.120 * [taylor]: Taking taylor expansion of f in f 11.120 * [backup-simplify]: Simplify 0 into 0 11.120 * [backup-simplify]: Simplify 1 into 1 11.120 * [backup-simplify]: Simplify (/ 1 1) into 1 11.120 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.120 * [taylor]: Taking taylor expansion of n in f 11.120 * [backup-simplify]: Simplify n into n 11.120 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.121 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.126 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.127 * [backup-simplify]: Simplify (+ 1 0) into 1 11.129 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 11.129 * [backup-simplify]: Simplify (+ 1 0) into 1 11.130 * [backup-simplify]: Simplify (/ -1 1) into -1 11.130 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 11.130 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) in f 11.130 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 11.130 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.130 * [taylor]: Taking taylor expansion of -1 in f 11.130 * [backup-simplify]: Simplify -1 into -1 11.130 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.131 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.131 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.131 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.131 * [taylor]: Taking taylor expansion of f in f 11.131 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify 1 into 1 11.132 * [backup-simplify]: Simplify (/ 1 1) into 1 11.132 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.132 * [taylor]: Taking taylor expansion of n in f 11.132 * [backup-simplify]: Simplify n into n 11.132 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.132 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.132 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.132 * [taylor]: Taking taylor expansion of f in f 11.132 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify 1 into 1 11.132 * [backup-simplify]: Simplify (/ 1 1) into 1 11.132 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.132 * [taylor]: Taking taylor expansion of n in f 11.133 * [backup-simplify]: Simplify n into n 11.133 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.134 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.136 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.137 * [backup-simplify]: Simplify (+ 1 0) into 1 11.138 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 11.139 * [backup-simplify]: Simplify (+ 1 0) into 1 11.139 * [backup-simplify]: Simplify (/ -1 1) into -1 11.139 * [taylor]: Taking taylor expansion of -1 in n 11.139 * [backup-simplify]: Simplify -1 into -1 11.140 * [backup-simplify]: Simplify -1 into -1 11.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.140 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.141 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.142 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 11.144 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) (/ 1 n)) (* 0 1)) into (- (/ 1 n)) 11.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.145 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.145 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.145 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 11.145 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.145 * [taylor]: Taking taylor expansion of 2 in n 11.146 * [backup-simplify]: Simplify 2 into 2 11.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.146 * [taylor]: Taking taylor expansion of n in n 11.146 * [backup-simplify]: Simplify 0 into 0 11.146 * [backup-simplify]: Simplify 1 into 1 11.146 * [backup-simplify]: Simplify (/ 1 1) into 1 11.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.148 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.148 * [backup-simplify]: Simplify (- 0) into 0 11.148 * [backup-simplify]: Simplify 0 into 0 11.148 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.150 * [backup-simplify]: Simplify (+ 0 0) into 0 11.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.152 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.154 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 11.155 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 11.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.157 * [backup-simplify]: Simplify (- 0) into 0 11.157 * [backup-simplify]: Simplify (+ 0 0) into 0 11.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.158 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.158 * [taylor]: Taking taylor expansion of 2 in n 11.158 * [backup-simplify]: Simplify 2 into 2 11.158 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.158 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.158 * [taylor]: Taking taylor expansion of n in n 11.159 * [backup-simplify]: Simplify 0 into 0 11.159 * [backup-simplify]: Simplify 1 into 1 11.159 * [backup-simplify]: Simplify (* 1 1) into 1 11.159 * [backup-simplify]: Simplify (/ 1 1) into 1 11.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.164 * [backup-simplify]: Simplify (- 0) into 0 11.164 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.167 * [backup-simplify]: Simplify (- 0) into 0 11.167 * [backup-simplify]: Simplify 0 into 0 11.167 * [backup-simplify]: Simplify 0 into 0 11.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.169 * [backup-simplify]: Simplify (+ 0 0) into 0 11.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.171 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.173 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 11.175 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 11.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.176 * [backup-simplify]: Simplify (- 0) into 0 11.176 * [backup-simplify]: Simplify (+ 0 0) into 0 11.178 * [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)))) 11.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.179 * [taylor]: Taking taylor expansion of 2 in n 11.179 * [backup-simplify]: Simplify 2 into 2 11.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.179 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.179 * [taylor]: Taking taylor expansion of n in n 11.179 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify 1 into 1 11.179 * [backup-simplify]: Simplify (* 1 1) into 1 11.180 * [backup-simplify]: Simplify (* 1 1) into 1 11.180 * [backup-simplify]: Simplify (/ 1 1) into 1 11.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.190 * [backup-simplify]: Simplify (- 0) into 0 11.190 * [backup-simplify]: Simplify 0 into 0 11.190 * [backup-simplify]: Simplify -1 into -1 11.192 * [backup-simplify]: Simplify (* (/ (* (cbrt -1) (cbrt -1)) (- (/ 1 (- f)) (/ 1 (- n)))) (* (+ (/ 1 (- f)) (/ 1 (- n))) (cbrt -1))) into (* -1 (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f)))) 11.192 * [approximate]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 11.192 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f)))) in n 11.192 * [taylor]: Taking taylor expansion of -1 in n 11.192 * [backup-simplify]: Simplify -1 into -1 11.192 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f))) in n 11.192 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) in n 11.192 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 11.193 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.193 * [taylor]: Taking taylor expansion of -1 in n 11.193 * [backup-simplify]: Simplify -1 into -1 11.193 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.194 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.194 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.194 * [taylor]: Taking taylor expansion of f in n 11.194 * [backup-simplify]: Simplify f into f 11.194 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.194 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.194 * [taylor]: Taking taylor expansion of n in n 11.194 * [backup-simplify]: Simplify 0 into 0 11.194 * [backup-simplify]: Simplify 1 into 1 11.194 * [backup-simplify]: Simplify (/ 1 1) into 1 11.194 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.195 * [taylor]: Taking taylor expansion of n in n 11.195 * [backup-simplify]: Simplify 0 into 0 11.195 * [backup-simplify]: Simplify 1 into 1 11.195 * [backup-simplify]: Simplify (/ 1 1) into 1 11.195 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.195 * [taylor]: Taking taylor expansion of f in n 11.195 * [backup-simplify]: Simplify f into f 11.195 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.196 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.199 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.199 * [backup-simplify]: Simplify (+ 0 1) into 1 11.201 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 11.201 * [backup-simplify]: Simplify (+ 1 0) into 1 11.202 * [backup-simplify]: Simplify (/ -1 1) into -1 11.202 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f)))) in f 11.202 * [taylor]: Taking taylor expansion of -1 in f 11.202 * [backup-simplify]: Simplify -1 into -1 11.202 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f))) in f 11.202 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) in f 11.202 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 11.202 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.202 * [taylor]: Taking taylor expansion of -1 in f 11.202 * [backup-simplify]: Simplify -1 into -1 11.203 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.203 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.203 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.203 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.203 * [taylor]: Taking taylor expansion of f in f 11.203 * [backup-simplify]: Simplify 0 into 0 11.203 * [backup-simplify]: Simplify 1 into 1 11.204 * [backup-simplify]: Simplify (/ 1 1) into 1 11.204 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.204 * [taylor]: Taking taylor expansion of n in f 11.204 * [backup-simplify]: Simplify n into n 11.204 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.204 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.204 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.204 * [taylor]: Taking taylor expansion of n in f 11.204 * [backup-simplify]: Simplify n into n 11.204 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.204 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.204 * [taylor]: Taking taylor expansion of f in f 11.204 * [backup-simplify]: Simplify 0 into 0 11.204 * [backup-simplify]: Simplify 1 into 1 11.205 * [backup-simplify]: Simplify (/ 1 1) into 1 11.206 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.209 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.209 * [backup-simplify]: Simplify (+ 1 0) into 1 11.211 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 11.211 * [backup-simplify]: Simplify (- 1) into -1 11.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.212 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.212 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f)))) in f 11.212 * [taylor]: Taking taylor expansion of -1 in f 11.212 * [backup-simplify]: Simplify -1 into -1 11.212 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) (- (/ 1 n) (/ 1 f))) in f 11.212 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ (/ 1 f) (/ 1 n))) in f 11.212 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 11.212 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.212 * [taylor]: Taking taylor expansion of -1 in f 11.212 * [backup-simplify]: Simplify -1 into -1 11.213 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.213 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.213 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.214 * [taylor]: Taking taylor expansion of f in f 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 1 into 1 11.214 * [backup-simplify]: Simplify (/ 1 1) into 1 11.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.214 * [taylor]: Taking taylor expansion of n in f 11.214 * [backup-simplify]: Simplify n into n 11.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.214 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.214 * [taylor]: Taking taylor expansion of n in f 11.214 * [backup-simplify]: Simplify n into n 11.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.214 * [taylor]: Taking taylor expansion of f in f 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 1 into 1 11.215 * [backup-simplify]: Simplify (/ 1 1) into 1 11.216 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.218 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 11.219 * [backup-simplify]: Simplify (+ 1 0) into 1 11.220 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) 1) into -1 11.221 * [backup-simplify]: Simplify (- 1) into -1 11.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.222 * [backup-simplify]: Simplify (/ -1 -1) into 1 11.222 * [backup-simplify]: Simplify (* -1 1) into -1 11.222 * [taylor]: Taking taylor expansion of -1 in n 11.222 * [backup-simplify]: Simplify -1 into -1 11.222 * [backup-simplify]: Simplify -1 into -1 11.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.223 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.224 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.225 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 11.226 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) (/ 1 n)) (* 0 1)) into (- (/ 1 n)) 11.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (- 0) into 0 11.228 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.228 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) -1) (+ (* 1 (/ (/ 1 n) -1)))) into (* 2 (/ 1 n)) 11.229 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 11.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.229 * [taylor]: Taking taylor expansion of 2 in n 11.229 * [backup-simplify]: Simplify 2 into 2 11.229 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.229 * [taylor]: Taking taylor expansion of n in n 11.229 * [backup-simplify]: Simplify 0 into 0 11.229 * [backup-simplify]: Simplify 1 into 1 11.229 * [backup-simplify]: Simplify (/ 1 1) into 1 11.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.231 * [backup-simplify]: Simplify (- 0) into 0 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 0 into 0 11.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.233 * [backup-simplify]: Simplify (+ 0 0) into 0 11.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.235 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.237 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 11.238 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 11.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.240 * [backup-simplify]: Simplify (- 0) into 0 11.240 * [backup-simplify]: Simplify (+ 0 0) into 0 11.241 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) -1)))) into (* 2 (/ 1 (pow n 2))) 11.242 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 11.242 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.242 * [taylor]: Taking taylor expansion of 2 in n 11.242 * [backup-simplify]: Simplify 2 into 2 11.242 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.242 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.242 * [taylor]: Taking taylor expansion of n in n 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify 1 into 1 11.243 * [backup-simplify]: Simplify (* 1 1) into 1 11.243 * [backup-simplify]: Simplify (/ 1 1) into 1 11.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.248 * [backup-simplify]: Simplify (- 0) into 0 11.248 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.250 * [backup-simplify]: Simplify (- 0) into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.252 * [backup-simplify]: Simplify (+ 0 0) into 0 11.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.254 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.256 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 11.257 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 11.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.259 * [backup-simplify]: Simplify (- 0) into 0 11.259 * [backup-simplify]: Simplify (+ 0 0) into 0 11.261 * [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))) 11.262 * [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)))) 11.262 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.262 * [taylor]: Taking taylor expansion of 2 in n 11.262 * [backup-simplify]: Simplify 2 into 2 11.262 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.262 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.262 * [taylor]: Taking taylor expansion of n in n 11.262 * [backup-simplify]: Simplify 0 into 0 11.262 * [backup-simplify]: Simplify 1 into 1 11.263 * [backup-simplify]: Simplify (* 1 1) into 1 11.263 * [backup-simplify]: Simplify (* 1 1) into 1 11.264 * [backup-simplify]: Simplify (/ 1 1) into 1 11.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.273 * [backup-simplify]: Simplify (- 0) into 0 11.273 * [backup-simplify]: Simplify 0 into 0 11.273 * [backup-simplify]: Simplify -1 into -1 11.273 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 11.275 * [backup-simplify]: Simplify (/ (* (cbrt -1) (cbrt -1)) (- f n)) into (/ (pow (cbrt -1) 2) (- f n)) 11.275 * [approximate]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- f n)) in (f n) around 0 11.275 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- f n)) in n 11.275 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.275 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.275 * [taylor]: Taking taylor expansion of -1 in n 11.275 * [backup-simplify]: Simplify -1 into -1 11.276 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.281 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.281 * [taylor]: Taking taylor expansion of (- f n) in n 11.281 * [taylor]: Taking taylor expansion of f in n 11.281 * [backup-simplify]: Simplify f into f 11.281 * [taylor]: Taking taylor expansion of n in n 11.281 * [backup-simplify]: Simplify 0 into 0 11.281 * [backup-simplify]: Simplify 1 into 1 11.283 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.283 * [backup-simplify]: Simplify (- 0) into 0 11.283 * [backup-simplify]: Simplify (+ f 0) into f 11.285 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) f) into (/ (pow (cbrt -1) 2) f) 11.285 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- f n)) in f 11.285 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 11.285 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.285 * [taylor]: Taking taylor expansion of -1 in f 11.285 * [backup-simplify]: Simplify -1 into -1 11.285 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.286 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.286 * [taylor]: Taking taylor expansion of (- f n) in f 11.286 * [taylor]: Taking taylor expansion of f in f 11.286 * [backup-simplify]: Simplify 0 into 0 11.286 * [backup-simplify]: Simplify 1 into 1 11.286 * [taylor]: Taking taylor expansion of n in f 11.286 * [backup-simplify]: Simplify n into n 11.288 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.288 * [backup-simplify]: Simplify (- n) into (- n) 11.288 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.289 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) (- n)) into (* -1 (/ (pow (cbrt -1) 2) n)) 11.289 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- f n)) in f 11.289 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 11.289 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.289 * [taylor]: Taking taylor expansion of -1 in f 11.289 * [backup-simplify]: Simplify -1 into -1 11.289 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.290 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.290 * [taylor]: Taking taylor expansion of (- f n) in f 11.290 * [taylor]: Taking taylor expansion of f in f 11.290 * [backup-simplify]: Simplify 0 into 0 11.290 * [backup-simplify]: Simplify 1 into 1 11.290 * [taylor]: Taking taylor expansion of n in f 11.290 * [backup-simplify]: Simplify n into n 11.292 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.292 * [backup-simplify]: Simplify (- n) into (- n) 11.292 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.293 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) (- n)) into (* -1 (/ (pow (cbrt -1) 2) n)) 11.293 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (cbrt -1) 2) n)) in n 11.293 * [taylor]: Taking taylor expansion of -1 in n 11.293 * [backup-simplify]: Simplify -1 into -1 11.293 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 11.293 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.293 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.293 * [taylor]: Taking taylor expansion of -1 in n 11.294 * [backup-simplify]: Simplify -1 into -1 11.294 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.295 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.295 * [taylor]: Taking taylor expansion of n in n 11.295 * [backup-simplify]: Simplify 0 into 0 11.295 * [backup-simplify]: Simplify 1 into 1 11.296 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.298 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.299 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow (cbrt -1) 2))) into 0 11.302 * [backup-simplify]: Simplify 0 into 0 11.303 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.304 * [backup-simplify]: Simplify (- 0) into 0 11.304 * [backup-simplify]: Simplify (+ 1 0) into 1 11.305 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (/ (pow (cbrt -1) 2) n)) (/ 1 (- n))))) into (- (/ (pow (cbrt -1) 2) (pow n 2))) 11.305 * [taylor]: Taking taylor expansion of (- (/ (pow (cbrt -1) 2) (pow n 2))) in n 11.305 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 11.305 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.305 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.305 * [taylor]: Taking taylor expansion of -1 in n 11.305 * [backup-simplify]: Simplify -1 into -1 11.306 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.306 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.306 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.306 * [taylor]: Taking taylor expansion of n in n 11.306 * [backup-simplify]: Simplify 0 into 0 11.306 * [backup-simplify]: Simplify 1 into 1 11.307 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.307 * [backup-simplify]: Simplify (* 1 1) into 1 11.308 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.310 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.311 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.313 * [backup-simplify]: Simplify (- 0) into 0 11.313 * [backup-simplify]: Simplify 0 into 0 11.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.314 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 11.316 * [backup-simplify]: Simplify 0 into 0 11.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.317 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.317 * [backup-simplify]: Simplify (- 0) into 0 11.318 * [backup-simplify]: Simplify (+ 0 0) into 0 11.320 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (/ (pow (cbrt -1) 2) n)) (/ 0 (- n))) (* (- (/ (pow (cbrt -1) 2) (pow n 2))) (/ 1 (- n))))) into (- (/ (pow (cbrt -1) 2) (pow n 3))) 11.320 * [taylor]: Taking taylor expansion of (- (/ (pow (cbrt -1) 2) (pow n 3))) in n 11.320 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 3)) in n 11.320 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.320 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.320 * [taylor]: Taking taylor expansion of -1 in n 11.320 * [backup-simplify]: Simplify -1 into -1 11.320 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.320 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.320 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.320 * [taylor]: Taking taylor expansion of n in n 11.320 * [backup-simplify]: Simplify 0 into 0 11.320 * [backup-simplify]: Simplify 1 into 1 11.321 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.321 * [backup-simplify]: Simplify (* 1 1) into 1 11.322 * [backup-simplify]: Simplify (* 1 1) into 1 11.323 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.325 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.328 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.330 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.332 * [backup-simplify]: Simplify (- 0) into 0 11.332 * [backup-simplify]: Simplify 0 into 0 11.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.333 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.335 * [backup-simplify]: Simplify (- 0) into 0 11.335 * [backup-simplify]: Simplify 0 into 0 11.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.337 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 11.340 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 0 into 0 11.342 * [backup-simplify]: Simplify (/ (* (cbrt -1) (cbrt -1)) (- (/ 1 f) (/ 1 n))) into (/ (pow (cbrt -1) 2) (- (/ 1 f) (/ 1 n))) 11.342 * [approximate]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 f) (/ 1 n))) in (f n) around 0 11.342 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 f) (/ 1 n))) in n 11.342 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.342 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.342 * [taylor]: Taking taylor expansion of -1 in n 11.342 * [backup-simplify]: Simplify -1 into -1 11.342 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.343 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.343 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.343 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.343 * [taylor]: Taking taylor expansion of f in n 11.343 * [backup-simplify]: Simplify f into f 11.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.343 * [taylor]: Taking taylor expansion of n in n 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 1 into 1 11.344 * [backup-simplify]: Simplify (/ 1 1) into 1 11.345 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.345 * [backup-simplify]: Simplify (- 1) into -1 11.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.348 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) -1) into (* -1 (pow (cbrt -1) 2)) 11.348 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 f) (/ 1 n))) in f 11.348 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 11.348 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.348 * [taylor]: Taking taylor expansion of -1 in f 11.348 * [backup-simplify]: Simplify -1 into -1 11.348 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.349 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.349 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.349 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.349 * [taylor]: Taking taylor expansion of f in f 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [backup-simplify]: Simplify 1 into 1 11.349 * [backup-simplify]: Simplify (/ 1 1) into 1 11.349 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.349 * [taylor]: Taking taylor expansion of n in f 11.349 * [backup-simplify]: Simplify n into n 11.350 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.351 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.351 * [backup-simplify]: Simplify (+ 1 0) into 1 11.353 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.353 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 f) (/ 1 n))) in f 11.353 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 11.353 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.353 * [taylor]: Taking taylor expansion of -1 in f 11.353 * [backup-simplify]: Simplify -1 into -1 11.354 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.354 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.354 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.354 * [taylor]: Taking taylor expansion of f in f 11.354 * [backup-simplify]: Simplify 0 into 0 11.354 * [backup-simplify]: Simplify 1 into 1 11.355 * [backup-simplify]: Simplify (/ 1 1) into 1 11.355 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.355 * [taylor]: Taking taylor expansion of n in f 11.355 * [backup-simplify]: Simplify n into n 11.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.356 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.357 * [backup-simplify]: Simplify (+ 1 0) into 1 11.359 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.359 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.359 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.359 * [taylor]: Taking taylor expansion of -1 in n 11.359 * [backup-simplify]: Simplify -1 into -1 11.359 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.360 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.361 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.361 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.362 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.363 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ (- (/ 1 n)) 1)))) into (/ (pow (cbrt -1) 2) n) 11.364 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 11.364 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.364 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.365 * [taylor]: Taking taylor expansion of -1 in n 11.365 * [backup-simplify]: Simplify -1 into -1 11.365 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.366 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.366 * [taylor]: Taking taylor expansion of n in n 11.366 * [backup-simplify]: Simplify 0 into 0 11.366 * [backup-simplify]: Simplify 1 into 1 11.367 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.368 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.370 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.370 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.372 * [backup-simplify]: Simplify 0 into 0 11.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.373 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.373 * [backup-simplify]: Simplify 0 into 0 11.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.375 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.376 * [backup-simplify]: Simplify (- 0) into 0 11.376 * [backup-simplify]: Simplify (+ 0 0) into 0 11.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* (/ (pow (cbrt -1) 2) n) (/ (- (/ 1 n)) 1)))) into (/ (pow (cbrt -1) 2) (pow n 2)) 11.378 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 11.378 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.378 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.378 * [taylor]: Taking taylor expansion of -1 in n 11.378 * [backup-simplify]: Simplify -1 into -1 11.378 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.379 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.379 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.379 * [taylor]: Taking taylor expansion of n in n 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 1 into 1 11.380 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.380 * [backup-simplify]: Simplify (* 1 1) into 1 11.381 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.383 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.384 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.386 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.388 * [backup-simplify]: Simplify 0 into 0 11.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.393 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.393 * [backup-simplify]: Simplify 0 into 0 11.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.395 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.395 * [backup-simplify]: Simplify 0 into 0 11.395 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify (/ (* (cbrt -1) (cbrt -1)) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (pow (cbrt -1) 2) (- (/ 1 n) (/ 1 f))) 11.396 * [approximate]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 n) (/ 1 f))) in (f n) around 0 11.396 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 n) (/ 1 f))) in n 11.396 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.396 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.396 * [taylor]: Taking taylor expansion of -1 in n 11.396 * [backup-simplify]: Simplify -1 into -1 11.396 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.397 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.397 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.397 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.397 * [taylor]: Taking taylor expansion of n in n 11.397 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify 1 into 1 11.397 * [backup-simplify]: Simplify (/ 1 1) into 1 11.397 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.397 * [taylor]: Taking taylor expansion of f in n 11.397 * [backup-simplify]: Simplify f into f 11.397 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.398 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.398 * [backup-simplify]: Simplify (+ 1 0) into 1 11.399 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.400 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 n) (/ 1 f))) in f 11.400 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 11.400 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.400 * [taylor]: Taking taylor expansion of -1 in f 11.400 * [backup-simplify]: Simplify -1 into -1 11.400 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.401 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.401 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.401 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.401 * [taylor]: Taking taylor expansion of n in f 11.401 * [backup-simplify]: Simplify n into n 11.401 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.401 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.401 * [taylor]: Taking taylor expansion of f in f 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [backup-simplify]: Simplify (/ 1 1) into 1 11.402 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.403 * [backup-simplify]: Simplify (- 1) into -1 11.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.405 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) -1) into (* -1 (pow (cbrt -1) 2)) 11.405 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (- (/ 1 n) (/ 1 f))) in f 11.405 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in f 11.405 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.405 * [taylor]: Taking taylor expansion of -1 in f 11.405 * [backup-simplify]: Simplify -1 into -1 11.406 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.406 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.406 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.406 * [taylor]: Taking taylor expansion of n in f 11.406 * [backup-simplify]: Simplify n into n 11.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.407 * [taylor]: Taking taylor expansion of f in f 11.407 * [backup-simplify]: Simplify 0 into 0 11.407 * [backup-simplify]: Simplify 1 into 1 11.407 * [backup-simplify]: Simplify (/ 1 1) into 1 11.408 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.409 * [backup-simplify]: Simplify (- 1) into -1 11.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.411 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) -1) into (* -1 (pow (cbrt -1) 2)) 11.411 * [taylor]: Taking taylor expansion of (* -1 (pow (cbrt -1) 2)) in n 11.411 * [taylor]: Taking taylor expansion of -1 in n 11.411 * [backup-simplify]: Simplify -1 into -1 11.411 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.411 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.411 * [taylor]: Taking taylor expansion of -1 in n 11.411 * [backup-simplify]: Simplify -1 into -1 11.411 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.412 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.413 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.414 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.415 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow (cbrt -1) 2))) into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.417 * [backup-simplify]: Simplify (- 0) into 0 11.418 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.420 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (pow (cbrt -1) 2)) (/ (/ 1 n) -1)))) into (- (/ (pow (cbrt -1) 2) n)) 11.420 * [taylor]: Taking taylor expansion of (- (/ (pow (cbrt -1) 2) n)) in n 11.420 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) n) in n 11.420 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.420 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.420 * [taylor]: Taking taylor expansion of -1 in n 11.420 * [backup-simplify]: Simplify -1 into -1 11.421 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.421 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.422 * [taylor]: Taking taylor expansion of n in n 11.422 * [backup-simplify]: Simplify 0 into 0 11.422 * [backup-simplify]: Simplify 1 into 1 11.423 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.425 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.427 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.428 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.431 * [backup-simplify]: Simplify (- 0) into 0 11.431 * [backup-simplify]: Simplify 0 into 0 11.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.433 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 11.434 * [backup-simplify]: Simplify 0 into 0 11.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.435 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.436 * [backup-simplify]: Simplify (- 0) into 0 11.436 * [backup-simplify]: Simplify (+ 0 0) into 0 11.438 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (pow (cbrt -1) 2)) (/ 0 -1)) (* (- (/ (pow (cbrt -1) 2) n)) (/ (/ 1 n) -1)))) into (- (/ (pow (cbrt -1) 2) (pow n 2))) 11.438 * [taylor]: Taking taylor expansion of (- (/ (pow (cbrt -1) 2) (pow n 2))) in n 11.438 * [taylor]: Taking taylor expansion of (/ (pow (cbrt -1) 2) (pow n 2)) in n 11.438 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in n 11.438 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.438 * [taylor]: Taking taylor expansion of -1 in n 11.438 * [backup-simplify]: Simplify -1 into -1 11.439 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.439 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.439 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.439 * [taylor]: Taking taylor expansion of n in n 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 1 into 1 11.440 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 11.440 * [backup-simplify]: Simplify (* 1 1) into 1 11.441 * [backup-simplify]: Simplify (/ (pow (cbrt -1) 2) 1) into (pow (cbrt -1) 2) 11.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.443 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.444 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 11.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)))) into 0 11.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.447 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 11.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.449 * [backup-simplify]: Simplify (- 0) into 0 11.449 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.450 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cbrt -1) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.451 * [backup-simplify]: Simplify (- 0) into 0 11.451 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.453 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 11.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * * * [progress]: simplifying candidates 11.455 * [simplify]: Simplifying: (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1))) (+ (- (+ (log (cbrt -1)) (log (cbrt -1))) (log (- f n))) (+ (log (+ f n)) (log (cbrt -1)))) (+ (- (+ (log (cbrt -1)) (log (cbrt -1))) (log (- f n))) (log (* (+ f n) (cbrt -1)))) (+ (- (log (* (cbrt -1) (cbrt -1))) (log (- f n))) (+ (log (+ f n)) (log (cbrt -1)))) (+ (- (log (* (cbrt -1) (cbrt -1))) (log (- f n))) (log (* (+ f n) (cbrt -1)))) (+ (log (/ (* (cbrt -1) (cbrt -1)) (- f n))) (+ (log (+ f n)) (log (cbrt -1)))) (+ (log (/ (* (cbrt -1) (cbrt -1)) (- f n))) (log (* (+ f n) (cbrt -1)))) (log (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (exp (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (* (/ (* -1 -1) (* (* (- f n) (- f n)) (- f n))) (* (* (* (+ f n) (+ f n)) (+ f n)) -1)) (* (/ (* -1 -1) (* (* (- f n) (- f n)) (- f n))) (* (* (* (+ f n) (cbrt -1)) (* (+ f n) (cbrt -1))) (* (+ f n) (cbrt -1)))) (* (/ (* (* (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1))) (* (cbrt -1) (cbrt -1))) (* (* (- f n) (- f n)) (- f n))) (* (* (* (+ f n) (+ f n)) (+ f n)) -1)) (* (/ (* (* (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1))) (* (cbrt -1) (cbrt -1))) (* (* (- f n) (- f n)) (- f n))) (* (* (* (+ f n) (cbrt -1)) (* (+ f n) (cbrt -1))) (* (+ f n) (cbrt -1)))) (* (* (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (* (* (+ f n) (+ f n)) (+ f n)) -1)) (* (* (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (* (* (+ f n) (cbrt -1)) (* (+ f n) (cbrt -1))) (* (+ f n) (cbrt -1)))) (* (cbrt (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (cbrt (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1))))) (cbrt (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (* (* (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (sqrt (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (sqrt (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1)))) (* (* (cbrt -1) (cbrt -1)) (* (+ (pow f 3) (pow n 3)) (cbrt -1))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (* (cbrt -1) (cbrt -1)) (* (- (* f f) (* n n)) (cbrt -1))) (* (- f n) (- f n)) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (+ f n)) (* (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (+ f n) (cbrt -1))) (* (sqrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (cbrt (- f n))) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (sqrt (- f n))) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (- f n)) (* (+ f n) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ f n) (cbrt -1))) (* (/ 1 (- f n)) (* (+ f n) (cbrt -1))) (* (+ (* f f) (+ (* n n) (* f n))) (* (+ f n) (cbrt -1))) (* (+ f n) (* (+ f n) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (+ (pow f 3) (pow n 3)) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (* (- (* f f) (* n n)) (cbrt -1))) (* (* (cbrt -1) (cbrt -1)) (* (+ f n) (cbrt -1))) (- (+ (log (cbrt -1)) (log (cbrt -1))) (log (- f n))) (- (log (* (cbrt -1) (cbrt -1))) (log (- f n))) (log (/ (* (cbrt -1) (cbrt -1)) (- f n))) (exp (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ (* -1 -1) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (* (cbrt -1) (cbrt -1)) (* (cbrt -1) (cbrt -1))) (* (cbrt -1) (cbrt -1))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n)))) (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ (* (cbrt -1) (cbrt -1)) (- f n))) (sqrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (sqrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (- (* (cbrt -1) (cbrt -1))) (- (- f n)) (/ (cbrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (cbrt -1) 1) (/ (cbrt -1) (- f n)) (/ (cbrt -1) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (cbrt -1) 1) (/ (cbrt -1) (- f n)) (/ 1 (- f n)) (/ (- f n) (* (cbrt -1) (cbrt -1))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (- f n) (cbrt -1)) (/ (* (cbrt -1) (cbrt -1)) (- (pow f 3) (pow n 3))) (/ (* (cbrt -1) (cbrt -1)) (- (* f f) (* n n))) 1 -1 -1 0 0 0 11.457 * * [simplify]: Extracting # 0 : cost 0 11.457 * * [simplify]: Extracting # 1 : cost 0 11.457 * * [simplify]: Extracting # 2 : cost 0 11.457 * * [simplify]: Extracting # 3 : cost 0 11.457 * * [simplify]: Extracting # 4 : cost 0 11.457 * * [simplify]: Extracting # 5 : cost 0 11.457 * * [simplify]: Extracting # 6 : cost 0 11.458 * * [simplify]: Extracting # 7 : cost 0 11.458 * * [simplify]: iteration 0 : 115 enodes (cost 1196 ) 11.515 * * [simplify]: Extracting # 0 : cost 0 11.516 * * [simplify]: Extracting # 1 : cost 0 11.517 * * [simplify]: Extracting # 2 : cost 0 11.517 * * [simplify]: Extracting # 3 : cost 0 11.523 * * [simplify]: Extracting # 4 : cost 0 11.524 * * [simplify]: iteration 1 : 356 enodes (cost 1160 ) 11.713 * * [simplify]: Extracting # 0 : cost 0 11.715 * * [simplify]: Extracting # 1 : cost 0 11.717 * * [simplify]: Extracting # 2 : cost 0 11.725 * * [simplify]: Extracting # 3 : cost 0 11.727 * * [simplify]: Extracting # 4 : cost 0 11.728 * * [simplify]: iteration 2 : 1474 enodes (cost 839 ) 12.850 * * [simplify]: Extracting # 0 : cost 0 12.858 * * [simplify]: Extracting # 1 : cost 0 12.870 * * [simplify]: Extracting # 2 : cost 0 12.883 * * [simplify]: Extracting # 3 : cost 0 12.894 * * [simplify]: Extracting # 4 : cost 0 12.902 * * [simplify]: iteration done: 5000 enodes (cost 714 ) 12.902 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- (+ f n)) (- f n)) (* (- f n) (- f n)) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (+ f n)) (* (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (+ f n) (cbrt -1))) (* (sqrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (cbrt (- f n))) (* (+ f n) (cbrt -1))) (* (/ (cbrt -1) (sqrt (- f n))) (* (+ f n) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (+ f n) (cbrt -1))) (* (/ (* (cbrt -1) (cbrt -1)) (- f n)) (+ f n)) (/ (- (+ f n)) (- f n)) (* (+ f n) (/ (cbrt -1) (- f n))) (* (+ (* f f) (* n (+ f n))) (* (+ f n) (cbrt -1))) (* (+ f n) (* (+ f n) (cbrt -1))) (/ (* -1 (+ (pow f 3) (pow n 3))) (- f n)) (/ (* (- (+ f n)) (- f n)) (- f n)) (- (+ f n)) (log (/ (* (cbrt -1) (cbrt -1)) (- f n))) (log (/ (* (cbrt -1) (cbrt -1)) (- f n))) (log (/ (* (cbrt -1) (cbrt -1)) (- f n))) (exp (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ 1 (pow (- f n) 3)) (/ 1 (pow (- f n) 3)) (* (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n)))) (cbrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (/ 1 (pow (- f n) 3)) (sqrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (sqrt (/ (* (cbrt -1) (cbrt -1)) (- f n))) (- (* (cbrt -1) (cbrt -1))) (- n f) (/ (cbrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (cbrt -1) (/ (cbrt -1) (- f n)) (/ (cbrt -1) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (cbrt -1) (/ (cbrt -1) (- f n)) (/ 1 (- f n)) (/ (- f n) (* (cbrt -1) (cbrt -1))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (- f n) (cbrt -1)) (/ (* (cbrt -1) (cbrt -1)) (- (pow f 3) (pow n 3))) (/ (* (cbrt -1) (cbrt -1)) (- (* f f) (* n n))) 1 -1 -1 0 0 0 12.903 * * * [progress]: adding candidates to table 13.149 * [progress]: [Phase 3 of 3] Extracting. 13.149 * * [regime]: Finding splitpoints for: (# # # #) 13.152 * * * [regime-changes]: Trying 2 branch expressions: (n f) 13.153 * * * * [regimes]: Trying to branch on n from (# # # #) 13.188 * * * * [regimes]: Trying to branch on f from (# # # #) 13.209 * * * [regime]: Found split indices: #