0.775 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.209 * * * [progress]: [2/2] Setting up program. 0.215 * [progress]: [Phase 2 of 3] Improving. 0.220 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.222 * * [simplify]: Extracting # 0 : cost 0 0.223 * * [simplify]: Extracting # 1 : cost 0 0.223 * * [simplify]: Extracting # 2 : cost 0 0.223 * * [simplify]: Extracting # 3 : cost 0 0.223 * * [simplify]: Extracting # 4 : cost 0 0.223 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.233 * * [simplify]: Extracting # 0 : cost 0 0.233 * * [simplify]: Extracting # 1 : cost 0 0.233 * * [simplify]: Extracting # 2 : cost 0 0.233 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.237 * * [simplify]: Extracting # 0 : cost 0 0.238 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.244 * * [simplify]: Extracting # 0 : cost 0 0.245 * * [simplify]: Extracting # 1 : cost 0 0.245 * * [simplify]: Extracting # 2 : cost 0 0.245 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.254 * * [simplify]: Extracting # 0 : cost 0 0.254 * * [simplify]: Extracting # 1 : cost 0 0.254 * * [simplify]: Extracting # 2 : cost 0 0.254 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.264 * * [simplify]: Extracting # 0 : cost 0 0.264 * * [simplify]: Extracting # 1 : cost 0 0.264 * * [simplify]: Extracting # 2 : cost 0 0.265 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.275 * * [simplify]: Extracting # 0 : cost 0 0.275 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.285 * * [simplify]: Extracting # 0 : cost 0 0.285 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.334 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.336 * * [progress]: iteration 1 / 4 0.336 * * * [progress]: picking best candidate 0.341 * * * * [pick]: Picked # 0.341 * * * [progress]: localizing error 0.359 * * * [progress]: generating rewritten candidates 0.359 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.433 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.438 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.438 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.439 * [taylor]: Taking taylor expansion of -1 in n 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.439 * [taylor]: Taking taylor expansion of (+ n f) in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of f in n 0.440 * [backup-simplify]: Simplify f into f 0.440 * [taylor]: Taking taylor expansion of (- f n) in n 0.440 * [taylor]: Taking taylor expansion of f in n 0.440 * [backup-simplify]: Simplify f into f 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (+ 0 f) into f 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ f 0) into f 0.441 * [backup-simplify]: Simplify (/ f f) into 1 0.441 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.441 * [taylor]: Taking taylor expansion of -1 in f 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.441 * [taylor]: Taking taylor expansion of (+ n f) in f 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [taylor]: Taking taylor expansion of f in f 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (- f n) in f 0.441 * [taylor]: Taking taylor expansion of f in f 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [backup-simplify]: Simplify (+ n 0) into n 0.441 * [backup-simplify]: Simplify (- n) into (- n) 0.441 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.441 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.441 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.441 * [taylor]: Taking taylor expansion of -1 in f 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.441 * [taylor]: Taking taylor expansion of (+ n f) in f 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (- f n) in f 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of n in f 0.442 * [backup-simplify]: Simplify n into n 0.442 * [backup-simplify]: Simplify (+ n 0) into n 0.442 * [backup-simplify]: Simplify (- n) into (- n) 0.442 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.442 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.443 * [backup-simplify]: Simplify (* -1 -1) into 1 0.443 * [taylor]: Taking taylor expansion of 1 in n 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (+ 0 1) into 1 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.446 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.446 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.447 * [taylor]: Taking taylor expansion of 2 in n 0.447 * [backup-simplify]: Simplify 2 into 2 0.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.452 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.452 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.452 * [taylor]: Taking taylor expansion of 2 in n 0.452 * [backup-simplify]: Simplify 2 into 2 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.452 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [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)))) 0.470 * [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))) 0.470 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.470 * [taylor]: Taking taylor expansion of 2 in n 0.470 * [backup-simplify]: Simplify 2 into 2 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.470 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.477 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.477 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.477 * [taylor]: Taking taylor expansion of -1 in n 0.477 * [backup-simplify]: Simplify -1 into -1 0.477 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.477 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.477 * [taylor]: Taking taylor expansion of f in n 0.477 * [backup-simplify]: Simplify f into f 0.477 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.477 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.478 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.478 * [taylor]: Taking taylor expansion of f in n 0.478 * [backup-simplify]: Simplify f into f 0.478 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.478 * [taylor]: Taking taylor expansion of n in n 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (+ 0 1) into 1 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.480 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.480 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.480 * [taylor]: Taking taylor expansion of -1 in f 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.480 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.480 * [taylor]: Taking taylor expansion of f in f 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.480 * [taylor]: Taking taylor expansion of n in f 0.480 * [backup-simplify]: Simplify n into n 0.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.480 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.480 * [taylor]: Taking taylor expansion of f in f 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.481 * [taylor]: Taking taylor expansion of n in f 0.481 * [backup-simplify]: Simplify n into n 0.481 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.482 * [taylor]: Taking taylor expansion of -1 in f 0.482 * [backup-simplify]: Simplify -1 into -1 0.482 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.482 * [taylor]: Taking taylor expansion of f in f 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.482 * [taylor]: Taking taylor expansion of n in f 0.482 * [backup-simplify]: Simplify n into n 0.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.482 * [taylor]: Taking taylor expansion of f in f 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.483 * [taylor]: Taking taylor expansion of n in f 0.483 * [backup-simplify]: Simplify n into n 0.483 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (* -1 1) into -1 0.484 * [taylor]: Taking taylor expansion of -1 in n 0.484 * [backup-simplify]: Simplify -1 into -1 0.484 * [backup-simplify]: Simplify -1 into -1 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.486 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.486 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.486 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.486 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.486 * [taylor]: Taking taylor expansion of 2 in n 0.486 * [backup-simplify]: Simplify 2 into 2 0.486 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.486 * [taylor]: Taking taylor expansion of n in n 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 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 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.491 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.491 * [taylor]: Taking taylor expansion of 2 in n 0.491 * [backup-simplify]: Simplify 2 into 2 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.491 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.491 * [taylor]: Taking taylor expansion of n in n 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [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))) 0.500 * [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)))) 0.500 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.500 * [taylor]: Taking taylor expansion of 2 in n 0.500 * [backup-simplify]: Simplify 2 into 2 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.500 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [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 0.506 * [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 0.507 * [backup-simplify]: Simplify -1 into -1 0.507 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.507 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.507 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.507 * [taylor]: Taking taylor expansion of f in n 0.507 * [backup-simplify]: Simplify f into f 0.507 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.508 * [backup-simplify]: Simplify (+ 0 1) into 1 0.508 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.509 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.509 * [taylor]: Taking taylor expansion of f in f 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) in f 0.509 * [taylor]: Taking taylor expansion of n in f 0.509 * [backup-simplify]: Simplify n into n 0.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.509 * [taylor]: Taking taylor expansion of n in f 0.509 * [backup-simplify]: Simplify n into n 0.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.509 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.509 * [taylor]: Taking taylor expansion of f in f 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 0.510 * [backup-simplify]: Simplify (+ 1 0) into 1 0.510 * [backup-simplify]: Simplify (- 1) into -1 0.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.510 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.510 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.510 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.511 * [taylor]: Taking taylor expansion of f in f 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.511 * [taylor]: Taking taylor expansion of n in f 0.511 * [backup-simplify]: Simplify n into n 0.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.511 * [taylor]: Taking taylor expansion of n in f 0.511 * [backup-simplify]: Simplify n into n 0.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.511 * [taylor]: Taking taylor expansion of f in f 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (- 1) into -1 0.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.512 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.512 * [taylor]: Taking taylor expansion of -1 in n 0.512 * [backup-simplify]: Simplify -1 into -1 0.512 * [backup-simplify]: Simplify -1 into -1 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.514 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.514 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.514 * [taylor]: Taking taylor expansion of 2 in n 0.514 * [backup-simplify]: Simplify 2 into 2 0.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.514 * [taylor]: Taking taylor expansion of n in n 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.519 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.519 * [taylor]: Taking taylor expansion of 2 in n 0.519 * [backup-simplify]: Simplify 2 into 2 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [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)))) 0.530 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.530 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.530 * [taylor]: Taking taylor expansion of 2 in n 0.530 * [backup-simplify]: Simplify 2 into 2 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.530 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.530 * [taylor]: Taking taylor expansion of n in n 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * * * [progress]: simplifying candidates 0.538 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.540 * * [simplify]: Extracting # 0 : cost 0 0.540 * * [simplify]: Extracting # 1 : cost 0 0.540 * * [simplify]: Extracting # 2 : cost 0 0.540 * * [simplify]: Extracting # 3 : cost 0 0.541 * * [simplify]: Extracting # 4 : cost 0 0.541 * * [simplify]: Extracting # 5 : cost 0 0.541 * * [simplify]: Extracting # 6 : cost 0 0.541 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.597 * * [simplify]: Extracting # 0 : cost 0 0.598 * * [simplify]: Extracting # 1 : cost 0 0.598 * * [simplify]: Extracting # 2 : cost 0 0.599 * * [simplify]: Extracting # 3 : cost 0 0.599 * * [simplify]: Extracting # 4 : cost 0 0.600 * * [simplify]: iteration 1 : 292 enodes (cost 1395 ) 0.732 * * [simplify]: Extracting # 0 : cost 0 0.734 * * [simplify]: Extracting # 1 : cost 0 0.735 * * [simplify]: Extracting # 2 : cost 0 0.737 * * [simplify]: Extracting # 3 : cost 0 0.738 * * [simplify]: iteration 2 : 702 enodes (cost 1365 ) 1.185 * * [simplify]: Extracting # 0 : cost 0 1.187 * * [simplify]: Extracting # 1 : cost 0 1.190 * * [simplify]: Extracting # 2 : cost 0 1.191 * * [simplify]: Extracting # 3 : cost 0 1.194 * * [simplify]: Extracting # 4 : cost 0 1.196 * * [simplify]: iteration 3 : 1907 enodes (cost 1357 ) 3.716 * * [simplify]: Extracting # 0 : cost 0 3.727 * * [simplify]: Extracting # 1 : cost 0 3.736 * * [simplify]: Extracting # 2 : cost 0 3.745 * * [simplify]: Extracting # 3 : cost 0 3.754 * * [simplify]: Extracting # 4 : cost 0 3.762 * * [simplify]: Extracting # 5 : cost 0 3.771 * * [simplify]: iteration done: 5000 enodes (cost 1357 ) 3.773 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ 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) (* (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) (- 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)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 3.774 * * * [progress]: adding candidates to table 4.053 * * [progress]: iteration 2 / 4 4.053 * * * [progress]: picking best candidate 4.062 * * * * [pick]: Picked # 4.062 * * * [progress]: localizing error 4.072 * * * [progress]: generating rewritten candidates 4.072 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 4.116 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 4.178 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.311 * * * [progress]: generating series expansions 4.311 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 4.311 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 4.311 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 4.311 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 4.311 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.311 * [taylor]: Taking taylor expansion of -1 in n 4.311 * [backup-simplify]: Simplify -1 into -1 4.311 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.311 * [taylor]: Taking taylor expansion of (+ n f) in n 4.311 * [taylor]: Taking taylor expansion of n in n 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [taylor]: Taking taylor expansion of f in n 4.311 * [backup-simplify]: Simplify f into f 4.311 * [taylor]: Taking taylor expansion of (- f n) in n 4.311 * [taylor]: Taking taylor expansion of f in n 4.312 * [backup-simplify]: Simplify f into f 4.312 * [taylor]: Taking taylor expansion of n in n 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (+ 0 f) into f 4.312 * [backup-simplify]: Simplify (- 0) into 0 4.312 * [backup-simplify]: Simplify (+ f 0) into f 4.313 * [backup-simplify]: Simplify (/ f f) into 1 4.313 * [backup-simplify]: Simplify (* -1 1) into -1 4.313 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 4.313 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.313 * [taylor]: Taking taylor expansion of -1 in f 4.313 * [backup-simplify]: Simplify -1 into -1 4.313 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.313 * [taylor]: Taking taylor expansion of (+ n f) in f 4.313 * [taylor]: Taking taylor expansion of n in f 4.313 * [backup-simplify]: Simplify n into n 4.313 * [taylor]: Taking taylor expansion of f in f 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (- f n) in f 4.313 * [taylor]: Taking taylor expansion of f in f 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of n in f 4.314 * [backup-simplify]: Simplify n into n 4.314 * [backup-simplify]: Simplify (+ n 0) into n 4.314 * [backup-simplify]: Simplify (- n) into (- n) 4.314 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.314 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.314 * [backup-simplify]: Simplify (* -1 -1) into 1 4.314 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 4.314 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.314 * [taylor]: Taking taylor expansion of -1 in f 4.314 * [backup-simplify]: Simplify -1 into -1 4.314 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.314 * [taylor]: Taking taylor expansion of (+ n f) in f 4.314 * [taylor]: Taking taylor expansion of n in f 4.314 * [backup-simplify]: Simplify n into n 4.314 * [taylor]: Taking taylor expansion of f in f 4.314 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of (- f n) in f 4.315 * [taylor]: Taking taylor expansion of f in f 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of n in f 4.315 * [backup-simplify]: Simplify n into n 4.315 * [backup-simplify]: Simplify (+ n 0) into n 4.315 * [backup-simplify]: Simplify (- n) into (- n) 4.315 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.315 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.315 * [backup-simplify]: Simplify (* -1 -1) into 1 4.316 * [backup-simplify]: Simplify (* 1 1) into 1 4.316 * [backup-simplify]: Simplify (* 1 1) into 1 4.316 * [taylor]: Taking taylor expansion of 1 in n 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (+ 0 1) into 1 4.318 * [backup-simplify]: Simplify (- 0) into 0 4.318 * [backup-simplify]: Simplify (+ 1 0) into 1 4.318 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.319 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.319 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 4.319 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 4.319 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.319 * [taylor]: Taking taylor expansion of 6 in n 4.320 * [backup-simplify]: Simplify 6 into 6 4.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.320 * [taylor]: Taking taylor expansion of n in n 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.324 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.325 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 4.326 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 4.326 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.326 * [taylor]: Taking taylor expansion of 18 in n 4.326 * [backup-simplify]: Simplify 18 into 18 4.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.326 * [taylor]: Taking taylor expansion of n in n 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.331 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [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)))) 4.335 * [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))) 4.335 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 4.336 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 4.336 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.336 * [taylor]: Taking taylor expansion of 38 in n 4.336 * [backup-simplify]: Simplify 38 into 38 4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.336 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.336 * [taylor]: Taking taylor expansion of n in n 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (* 1 1) into 1 4.337 * [backup-simplify]: Simplify (* 1 1) into 1 4.337 * [backup-simplify]: Simplify (/ 1 1) into 1 4.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 4.342 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 4.342 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 4.342 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.342 * [taylor]: Taking taylor expansion of -1 in n 4.342 * [backup-simplify]: Simplify -1 into -1 4.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.342 * [taylor]: Taking taylor expansion of f in n 4.342 * [backup-simplify]: Simplify f into f 4.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.343 * [taylor]: Taking taylor expansion of n in n 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.343 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.343 * [taylor]: Taking taylor expansion of f in n 4.343 * [backup-simplify]: Simplify f into f 4.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.343 * [taylor]: Taking taylor expansion of n in n 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.344 * [backup-simplify]: Simplify (+ 0 1) into 1 4.344 * [backup-simplify]: Simplify (- 1) into -1 4.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.344 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.345 * [backup-simplify]: Simplify (* -1 -1) into 1 4.345 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 4.345 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.345 * [taylor]: Taking taylor expansion of -1 in f 4.345 * [backup-simplify]: Simplify -1 into -1 4.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.345 * [taylor]: Taking taylor expansion of f in f 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (/ 1 1) into 1 4.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.345 * [taylor]: Taking taylor expansion of n in f 4.345 * [backup-simplify]: Simplify n into n 4.345 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.345 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.345 * [taylor]: Taking taylor expansion of f in f 4.345 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify 1 into 1 4.345 * [backup-simplify]: Simplify (/ 1 1) into 1 4.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.345 * [taylor]: Taking taylor expansion of n in f 4.345 * [backup-simplify]: Simplify n into n 4.345 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.346 * [backup-simplify]: Simplify (+ 1 0) into 1 4.346 * [backup-simplify]: Simplify (+ 1 0) into 1 4.346 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [backup-simplify]: Simplify (* -1 1) into -1 4.347 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 4.347 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.347 * [taylor]: Taking taylor expansion of -1 in f 4.347 * [backup-simplify]: Simplify -1 into -1 4.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.347 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.347 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.347 * [taylor]: Taking taylor expansion of f in f 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.347 * [taylor]: Taking taylor expansion of n in f 4.347 * [backup-simplify]: Simplify n into n 4.347 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.347 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.347 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.347 * [taylor]: Taking taylor expansion of f in f 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.347 * [taylor]: Taking taylor expansion of n in f 4.347 * [backup-simplify]: Simplify n into n 4.347 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.348 * [backup-simplify]: Simplify (+ 1 0) into 1 4.348 * [backup-simplify]: Simplify (+ 1 0) into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [backup-simplify]: Simplify (* -1 1) into -1 4.349 * [backup-simplify]: Simplify (* -1 -1) into 1 4.349 * [backup-simplify]: Simplify (* -1 1) into -1 4.349 * [taylor]: Taking taylor expansion of -1 in n 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [backup-simplify]: Simplify -1 into -1 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.350 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.350 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.351 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.351 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 4.351 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 4.351 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.351 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.351 * [taylor]: Taking taylor expansion of 6 in n 4.351 * [backup-simplify]: Simplify 6 into 6 4.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.351 * [taylor]: Taking taylor expansion of n in n 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.352 * [backup-simplify]: Simplify (- 0) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.353 * [backup-simplify]: Simplify (+ 0 0) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.354 * [backup-simplify]: Simplify (- 0) into 0 4.355 * [backup-simplify]: Simplify (+ 0 0) into 0 4.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.356 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.356 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 4.357 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.357 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.357 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.357 * [taylor]: Taking taylor expansion of 18 in n 4.357 * [backup-simplify]: Simplify 18 into 18 4.357 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.357 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.357 * [taylor]: Taking taylor expansion of n in n 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (* 1 1) into 1 4.357 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.360 * [backup-simplify]: Simplify (- 0) into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.361 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.361 * [backup-simplify]: Simplify (- 0) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.362 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.364 * [backup-simplify]: Simplify (- 0) into 0 4.364 * [backup-simplify]: Simplify (+ 0 0) into 0 4.365 * [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))) 4.366 * [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)))) 4.368 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 4.369 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.369 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.369 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.369 * [taylor]: Taking taylor expansion of 38 in n 4.369 * [backup-simplify]: Simplify 38 into 38 4.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.369 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.369 * [taylor]: Taking taylor expansion of n in n 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (* 1 1) into 1 4.370 * [backup-simplify]: Simplify (* 1 1) into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify -1 into -1 4.381 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 4.381 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 4.381 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 4.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.382 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.382 * [taylor]: Taking taylor expansion of f in n 4.382 * [backup-simplify]: Simplify f into f 4.382 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.382 * [taylor]: Taking taylor expansion of n in n 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.382 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.382 * [taylor]: Taking taylor expansion of n in n 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify (/ 1 1) into 1 4.383 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.383 * [taylor]: Taking taylor expansion of f in n 4.383 * [backup-simplify]: Simplify f into f 4.383 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.383 * [backup-simplify]: Simplify (+ 0 1) into 1 4.384 * [backup-simplify]: Simplify (+ 1 0) into 1 4.384 * [backup-simplify]: Simplify (/ 1 1) into 1 4.384 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 4.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.384 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.384 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.384 * [taylor]: Taking taylor expansion of f in f 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.385 * [taylor]: Taking taylor expansion of n in f 4.385 * [backup-simplify]: Simplify n into n 4.385 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.385 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.385 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.385 * [taylor]: Taking taylor expansion of n in f 4.385 * [backup-simplify]: Simplify n into n 4.385 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.385 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.385 * [taylor]: Taking taylor expansion of f in f 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.386 * [backup-simplify]: Simplify (/ 1 1) into 1 4.386 * [backup-simplify]: Simplify (+ 1 0) into 1 4.387 * [backup-simplify]: Simplify (- 1) into -1 4.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.387 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.387 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 4.387 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.388 * [taylor]: Taking taylor expansion of f in f 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.388 * [taylor]: Taking taylor expansion of n in f 4.388 * [backup-simplify]: Simplify n into n 4.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.388 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.388 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.388 * [taylor]: Taking taylor expansion of n in f 4.388 * [backup-simplify]: Simplify n into n 4.388 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.388 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.388 * [taylor]: Taking taylor expansion of f in f 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [backup-simplify]: Simplify (- 1) into -1 4.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.391 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.391 * [backup-simplify]: Simplify (* -1 -1) into 1 4.391 * [backup-simplify]: Simplify (* -1 1) into -1 4.391 * [taylor]: Taking taylor expansion of -1 in n 4.392 * [backup-simplify]: Simplify -1 into -1 4.392 * [backup-simplify]: Simplify -1 into -1 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (- 0) into 0 4.393 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.394 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.394 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 4.394 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 4.394 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 4.394 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 4.394 * [taylor]: Taking taylor expansion of 6 in n 4.394 * [backup-simplify]: Simplify 6 into 6 4.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.394 * [taylor]: Taking taylor expansion of n in n 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 4.395 * [backup-simplify]: Simplify (- 0) into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.396 * [backup-simplify]: Simplify (+ 0 0) into 0 4.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (- 0) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.398 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 4.399 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 4.399 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 4.399 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 4.399 * [taylor]: Taking taylor expansion of 18 in n 4.399 * [backup-simplify]: Simplify 18 into 18 4.399 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.399 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.399 * [taylor]: Taking taylor expansion of n in n 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [backup-simplify]: Simplify (* 1 1) into 1 4.399 * [backup-simplify]: Simplify (/ 1 1) into 1 4.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.402 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 4.402 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 4.403 * [backup-simplify]: Simplify (- 0) into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.404 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.405 * [backup-simplify]: Simplify (- 0) into 0 4.405 * [backup-simplify]: Simplify (+ 0 0) into 0 4.406 * [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)))) 4.407 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 4.408 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 4.408 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 4.408 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 4.408 * [taylor]: Taking taylor expansion of 38 in n 4.408 * [backup-simplify]: Simplify 38 into 38 4.408 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.408 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.408 * [taylor]: Taking taylor expansion of n in n 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [backup-simplify]: Simplify (* 1 1) into 1 4.408 * [backup-simplify]: Simplify (* 1 1) into 1 4.409 * [backup-simplify]: Simplify (/ 1 1) into 1 4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (- 0) into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify -1 into -1 4.414 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 4.414 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.414 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.414 * [taylor]: Taking taylor expansion of -1 in n 4.414 * [backup-simplify]: Simplify -1 into -1 4.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.414 * [taylor]: Taking taylor expansion of (+ n f) in n 4.414 * [taylor]: Taking taylor expansion of n in n 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [taylor]: Taking taylor expansion of f in n 4.414 * [backup-simplify]: Simplify f into f 4.414 * [taylor]: Taking taylor expansion of (- f n) in n 4.414 * [taylor]: Taking taylor expansion of f in n 4.414 * [backup-simplify]: Simplify f into f 4.414 * [taylor]: Taking taylor expansion of n in n 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (+ 0 f) into f 4.415 * [backup-simplify]: Simplify (- 0) into 0 4.415 * [backup-simplify]: Simplify (+ f 0) into f 4.415 * [backup-simplify]: Simplify (/ f f) into 1 4.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.415 * [taylor]: Taking taylor expansion of -1 in f 4.415 * [backup-simplify]: Simplify -1 into -1 4.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.415 * [taylor]: Taking taylor expansion of (+ n f) in f 4.415 * [taylor]: Taking taylor expansion of n in f 4.415 * [backup-simplify]: Simplify n into n 4.415 * [taylor]: Taking taylor expansion of f in f 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of (- f n) in f 4.415 * [taylor]: Taking taylor expansion of f in f 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of n in f 4.415 * [backup-simplify]: Simplify n into n 4.415 * [backup-simplify]: Simplify (+ n 0) into n 4.415 * [backup-simplify]: Simplify (- n) into (- n) 4.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.415 * [taylor]: Taking taylor expansion of -1 in f 4.415 * [backup-simplify]: Simplify -1 into -1 4.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.415 * [taylor]: Taking taylor expansion of (+ n f) in f 4.415 * [taylor]: Taking taylor expansion of n in f 4.415 * [backup-simplify]: Simplify n into n 4.415 * [taylor]: Taking taylor expansion of f in f 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of (- f n) in f 4.415 * [taylor]: Taking taylor expansion of f in f 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of n in f 4.415 * [backup-simplify]: Simplify n into n 4.415 * [backup-simplify]: Simplify (+ n 0) into n 4.416 * [backup-simplify]: Simplify (- n) into (- n) 4.416 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.416 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.416 * [backup-simplify]: Simplify (* -1 -1) into 1 4.416 * [taylor]: Taking taylor expansion of 1 in n 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (+ 0 1) into 1 4.416 * [backup-simplify]: Simplify (- 0) into 0 4.417 * [backup-simplify]: Simplify (+ 1 0) into 1 4.417 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.417 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.417 * [taylor]: Taking taylor expansion of 2 in n 4.417 * [backup-simplify]: Simplify 2 into 2 4.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.417 * [taylor]: Taking taylor expansion of n in n 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.418 * [backup-simplify]: Simplify (/ 1 1) into 1 4.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.419 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.419 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.420 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.420 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.420 * [taylor]: Taking taylor expansion of 2 in n 4.420 * [backup-simplify]: Simplify 2 into 2 4.420 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.420 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.420 * [taylor]: Taking taylor expansion of n in n 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (* 1 1) into 1 4.421 * [backup-simplify]: Simplify (/ 1 1) into 1 4.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.426 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.429 * [backup-simplify]: Simplify (- 0) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.430 * [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)))) 4.431 * [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))) 4.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.431 * [taylor]: Taking taylor expansion of 2 in n 4.432 * [backup-simplify]: Simplify 2 into 2 4.432 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.432 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.432 * [taylor]: Taking taylor expansion of n in n 4.432 * [backup-simplify]: Simplify 0 into 0 4.432 * [backup-simplify]: Simplify 1 into 1 4.432 * [backup-simplify]: Simplify (* 1 1) into 1 4.433 * [backup-simplify]: Simplify (* 1 1) into 1 4.433 * [backup-simplify]: Simplify (/ 1 1) into 1 4.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.443 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.443 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.443 * [taylor]: Taking taylor expansion of -1 in n 4.443 * [backup-simplify]: Simplify -1 into -1 4.443 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.443 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.443 * [taylor]: Taking taylor expansion of f in n 4.443 * [backup-simplify]: Simplify f into f 4.443 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 1 into 1 4.443 * [backup-simplify]: Simplify (/ 1 1) into 1 4.443 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.443 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.444 * [taylor]: Taking taylor expansion of f in n 4.444 * [backup-simplify]: Simplify f into f 4.444 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.444 * [taylor]: Taking taylor expansion of n in n 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [backup-simplify]: Simplify (+ 0 1) into 1 4.445 * [backup-simplify]: Simplify (- 1) into -1 4.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.446 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.446 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.446 * [taylor]: Taking taylor expansion of -1 in f 4.446 * [backup-simplify]: Simplify -1 into -1 4.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.446 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.446 * [taylor]: Taking taylor expansion of f in f 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (/ 1 1) into 1 4.446 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.447 * [taylor]: Taking taylor expansion of n in f 4.447 * [backup-simplify]: Simplify n into n 4.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.447 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.447 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.447 * [taylor]: Taking taylor expansion of f in f 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (/ 1 1) into 1 4.447 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.447 * [taylor]: Taking taylor expansion of n in f 4.447 * [backup-simplify]: Simplify n into n 4.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.448 * [backup-simplify]: Simplify (+ 1 0) into 1 4.448 * [backup-simplify]: Simplify (+ 1 0) into 1 4.449 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.449 * [taylor]: Taking taylor expansion of -1 in f 4.449 * [backup-simplify]: Simplify -1 into -1 4.449 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.449 * [taylor]: Taking taylor expansion of f in f 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (/ 1 1) into 1 4.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.450 * [taylor]: Taking taylor expansion of n in f 4.450 * [backup-simplify]: Simplify n into n 4.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.450 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.450 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.450 * [taylor]: Taking taylor expansion of f in f 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.451 * [backup-simplify]: Simplify (/ 1 1) into 1 4.451 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.451 * [taylor]: Taking taylor expansion of n in f 4.451 * [backup-simplify]: Simplify n into n 4.451 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.451 * [backup-simplify]: Simplify (+ 1 0) into 1 4.452 * [backup-simplify]: Simplify (+ 1 0) into 1 4.452 * [backup-simplify]: Simplify (/ 1 1) into 1 4.453 * [backup-simplify]: Simplify (* -1 1) into -1 4.453 * [taylor]: Taking taylor expansion of -1 in n 4.453 * [backup-simplify]: Simplify -1 into -1 4.453 * [backup-simplify]: Simplify -1 into -1 4.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.454 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.455 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.455 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.455 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.456 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.456 * [taylor]: Taking taylor expansion of 2 in n 4.456 * [backup-simplify]: Simplify 2 into 2 4.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.458 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.458 * [backup-simplify]: Simplify (- 0) into 0 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.461 * [backup-simplify]: Simplify (- 0) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.463 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.464 * [taylor]: Taking taylor expansion of 2 in n 4.464 * [backup-simplify]: Simplify 2 into 2 4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.464 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.464 * [taylor]: Taking taylor expansion of n in n 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.464 * [backup-simplify]: Simplify (* 1 1) into 1 4.464 * [backup-simplify]: Simplify (/ 1 1) into 1 4.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.469 * [backup-simplify]: Simplify (- 0) into 0 4.469 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.471 * [backup-simplify]: Simplify (- 0) into 0 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.473 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.474 * [backup-simplify]: Simplify (- 0) into 0 4.474 * [backup-simplify]: Simplify (+ 0 0) into 0 4.476 * [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))) 4.477 * [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)))) 4.477 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.477 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.477 * [taylor]: Taking taylor expansion of 2 in n 4.477 * [backup-simplify]: Simplify 2 into 2 4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.477 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.478 * [taylor]: Taking taylor expansion of n in n 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (* 1 1) into 1 4.478 * [backup-simplify]: Simplify (* 1 1) into 1 4.479 * [backup-simplify]: Simplify (/ 1 1) into 1 4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (- 0) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify -1 into -1 4.489 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.489 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.489 * [taylor]: Taking taylor expansion of f in n 4.489 * [backup-simplify]: Simplify f into f 4.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.489 * [taylor]: Taking taylor expansion of n in n 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.489 * [backup-simplify]: Simplify (/ 1 1) into 1 4.489 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.489 * [taylor]: Taking taylor expansion of n in n 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (/ 1 1) into 1 4.490 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.490 * [taylor]: Taking taylor expansion of f in n 4.490 * [backup-simplify]: Simplify f into f 4.490 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.490 * [backup-simplify]: Simplify (+ 0 1) into 1 4.491 * [backup-simplify]: Simplify (+ 1 0) into 1 4.491 * [backup-simplify]: Simplify (/ 1 1) into 1 4.491 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.491 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.491 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.491 * [taylor]: Taking taylor expansion of f in f 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.492 * [backup-simplify]: Simplify (/ 1 1) into 1 4.492 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.492 * [taylor]: Taking taylor expansion of n in f 4.492 * [backup-simplify]: Simplify n into n 4.492 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.492 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.492 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.492 * [taylor]: Taking taylor expansion of n in f 4.492 * [backup-simplify]: Simplify n into n 4.492 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.492 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.492 * [taylor]: Taking taylor expansion of f in f 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (/ 1 1) into 1 4.493 * [backup-simplify]: Simplify (+ 1 0) into 1 4.493 * [backup-simplify]: Simplify (- 1) into -1 4.494 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.494 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.494 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.494 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.494 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.494 * [taylor]: Taking taylor expansion of f in f 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify 1 into 1 4.495 * [backup-simplify]: Simplify (/ 1 1) into 1 4.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.495 * [taylor]: Taking taylor expansion of n in f 4.495 * [backup-simplify]: Simplify n into n 4.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.495 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.495 * [taylor]: Taking taylor expansion of n in f 4.495 * [backup-simplify]: Simplify n into n 4.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.495 * [taylor]: Taking taylor expansion of f in f 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (/ 1 1) into 1 4.496 * [backup-simplify]: Simplify (+ 1 0) into 1 4.496 * [backup-simplify]: Simplify (- 1) into -1 4.497 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.497 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.497 * [taylor]: Taking taylor expansion of -1 in n 4.497 * [backup-simplify]: Simplify -1 into -1 4.497 * [backup-simplify]: Simplify -1 into -1 4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify (- 0) into 0 4.499 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.500 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.500 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.500 * [taylor]: Taking taylor expansion of 2 in n 4.500 * [backup-simplify]: Simplify 2 into 2 4.500 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.500 * [taylor]: Taking taylor expansion of n in n 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.500 * [backup-simplify]: Simplify (/ 1 1) into 1 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.502 * [backup-simplify]: Simplify (- 0) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.504 * [backup-simplify]: Simplify (+ 0 0) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.505 * [backup-simplify]: Simplify (- 0) into 0 4.505 * [backup-simplify]: Simplify (+ 0 0) into 0 4.506 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.506 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.507 * [taylor]: Taking taylor expansion of 2 in n 4.507 * [backup-simplify]: Simplify 2 into 2 4.507 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.507 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [backup-simplify]: Simplify (* 1 1) into 1 4.507 * [backup-simplify]: Simplify (/ 1 1) into 1 4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.512 * [backup-simplify]: Simplify (- 0) into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.514 * [backup-simplify]: Simplify (- 0) into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.516 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.518 * [backup-simplify]: Simplify (- 0) into 0 4.518 * [backup-simplify]: Simplify (+ 0 0) into 0 4.520 * [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)))) 4.520 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.520 * [taylor]: Taking taylor expansion of 2 in n 4.520 * [backup-simplify]: Simplify 2 into 2 4.520 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.520 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.520 * [taylor]: Taking taylor expansion of n in n 4.520 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (* 1 1) into 1 4.521 * [backup-simplify]: Simplify (* 1 1) into 1 4.521 * [backup-simplify]: Simplify (/ 1 1) into 1 4.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.530 * [backup-simplify]: Simplify (- 0) into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify -1 into -1 4.530 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.531 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 4.531 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 4.531 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 4.531 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 4.531 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.531 * [taylor]: Taking taylor expansion of -1 in n 4.531 * [backup-simplify]: Simplify -1 into -1 4.532 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.533 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.533 * [taylor]: Taking taylor expansion of (+ n f) in n 4.533 * [taylor]: Taking taylor expansion of n in n 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [taylor]: Taking taylor expansion of f in n 4.533 * [backup-simplify]: Simplify f into f 4.533 * [taylor]: Taking taylor expansion of (- f n) in n 4.533 * [taylor]: Taking taylor expansion of f in n 4.533 * [backup-simplify]: Simplify f into f 4.533 * [taylor]: Taking taylor expansion of n in n 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [backup-simplify]: Simplify (+ 0 f) into f 4.534 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 4.534 * [backup-simplify]: Simplify (- 0) into 0 4.534 * [backup-simplify]: Simplify (+ f 0) into f 4.535 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 4.535 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.535 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.535 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.535 * [taylor]: Taking taylor expansion of -1 in f 4.535 * [backup-simplify]: Simplify -1 into -1 4.535 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.536 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.536 * [taylor]: Taking taylor expansion of (+ n f) in f 4.536 * [taylor]: Taking taylor expansion of n in f 4.536 * [backup-simplify]: Simplify n into n 4.536 * [taylor]: Taking taylor expansion of f in f 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 1 into 1 4.536 * [taylor]: Taking taylor expansion of (- f n) in f 4.536 * [taylor]: Taking taylor expansion of f in f 4.536 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 1 into 1 4.537 * [taylor]: Taking taylor expansion of n in f 4.537 * [backup-simplify]: Simplify n into n 4.537 * [backup-simplify]: Simplify (+ n 0) into n 4.537 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.537 * [backup-simplify]: Simplify (- n) into (- n) 4.537 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.538 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.538 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 4.538 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 4.538 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.538 * [taylor]: Taking taylor expansion of -1 in f 4.538 * [backup-simplify]: Simplify -1 into -1 4.539 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.539 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.539 * [taylor]: Taking taylor expansion of (+ n f) in f 4.539 * [taylor]: Taking taylor expansion of n in f 4.539 * [backup-simplify]: Simplify n into n 4.539 * [taylor]: Taking taylor expansion of f in f 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [taylor]: Taking taylor expansion of (- f n) in f 4.539 * [taylor]: Taking taylor expansion of f in f 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 1 into 1 4.540 * [taylor]: Taking taylor expansion of n in f 4.540 * [backup-simplify]: Simplify n into n 4.540 * [backup-simplify]: Simplify (+ n 0) into n 4.540 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 4.540 * [backup-simplify]: Simplify (- n) into (- n) 4.540 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.541 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 4.541 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 4.541 * [taylor]: Taking taylor expansion of -1 in n 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.541 * [taylor]: Taking taylor expansion of -1 in n 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.542 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.543 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.544 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.544 * [backup-simplify]: Simplify (+ 0 1) into 1 4.545 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 4.546 * [backup-simplify]: Simplify (- 0) into 0 4.546 * [backup-simplify]: Simplify (+ 1 0) into 1 4.548 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 4.548 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 4.548 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 4.548 * [taylor]: Taking taylor expansion of 2 in n 4.548 * [backup-simplify]: Simplify 2 into 2 4.548 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 4.548 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.548 * [taylor]: Taking taylor expansion of -1 in n 4.548 * [backup-simplify]: Simplify -1 into -1 4.548 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.549 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.549 * [taylor]: Taking taylor expansion of n in n 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.552 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 4.552 * [backup-simplify]: Simplify (- 0) into 0 4.552 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (+ 0 0) into 0 4.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.556 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 4.557 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify (+ 0 0) into 0 4.559 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 4.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 4.559 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 4.559 * [taylor]: Taking taylor expansion of 2 in n 4.559 * [backup-simplify]: Simplify 2 into 2 4.559 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 4.559 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.559 * [taylor]: Taking taylor expansion of -1 in n 4.560 * [backup-simplify]: Simplify -1 into -1 4.560 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.561 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.561 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.561 * [taylor]: Taking taylor expansion of n in n 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (* 1 1) into 1 4.562 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.569 * [backup-simplify]: Simplify (- 0) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.578 * [backup-simplify]: Simplify (- 0) into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.581 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.584 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 4.584 * [backup-simplify]: Simplify (- 0) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.587 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 4.587 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 4.588 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 4.588 * [taylor]: Taking taylor expansion of 2 in n 4.588 * [backup-simplify]: Simplify 2 into 2 4.588 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 4.588 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.588 * [taylor]: Taking taylor expansion of -1 in n 4.588 * [backup-simplify]: Simplify -1 into -1 4.588 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.589 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.589 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.589 * [taylor]: Taking taylor expansion of n in n 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (* 1 1) into 1 4.590 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.605 * [backup-simplify]: Simplify (- 0) into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 4.607 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 4.607 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 4.607 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 4.607 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 4.607 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.607 * [taylor]: Taking taylor expansion of -1 in n 4.607 * [backup-simplify]: Simplify -1 into -1 4.607 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.608 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.608 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.608 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.608 * [taylor]: Taking taylor expansion of f in n 4.608 * [backup-simplify]: Simplify f into f 4.608 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.608 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.608 * [taylor]: Taking taylor expansion of n in n 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.609 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.609 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.609 * [taylor]: Taking taylor expansion of f in n 4.609 * [backup-simplify]: Simplify f into f 4.609 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.609 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.609 * [taylor]: Taking taylor expansion of n in n 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (+ 0 1) into 1 4.611 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 4.611 * [backup-simplify]: Simplify (- 1) into -1 4.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.612 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 4.612 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 4.612 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 4.612 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.612 * [taylor]: Taking taylor expansion of -1 in f 4.612 * [backup-simplify]: Simplify -1 into -1 4.613 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.614 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.614 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.614 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.614 * [taylor]: Taking taylor expansion of f in f 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [backup-simplify]: Simplify (/ 1 1) into 1 4.614 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.614 * [taylor]: Taking taylor expansion of n in f 4.614 * [backup-simplify]: Simplify n into n 4.614 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.614 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.614 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.614 * [taylor]: Taking taylor expansion of f in f 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (/ 1 1) into 1 4.615 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.615 * [taylor]: Taking taylor expansion of n in f 4.615 * [backup-simplify]: Simplify n into n 4.615 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.615 * [backup-simplify]: Simplify (+ 1 0) into 1 4.616 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 4.617 * [backup-simplify]: Simplify (+ 1 0) into 1 4.617 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.617 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 4.617 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 4.617 * [taylor]: Taking taylor expansion of (cbrt -1) in f 4.617 * [taylor]: Taking taylor expansion of -1 in f 4.617 * [backup-simplify]: Simplify -1 into -1 4.618 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.618 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.618 * [taylor]: Taking taylor expansion of f in f 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.619 * [taylor]: Taking taylor expansion of n in f 4.619 * [backup-simplify]: Simplify n into n 4.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.619 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.619 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.619 * [taylor]: Taking taylor expansion of f in f 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (/ 1 1) into 1 4.619 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.619 * [taylor]: Taking taylor expansion of n in f 4.619 * [backup-simplify]: Simplify n into n 4.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.619 * [backup-simplify]: Simplify (+ 1 0) into 1 4.620 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 4.620 * [backup-simplify]: Simplify (+ 1 0) into 1 4.621 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.621 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.621 * [taylor]: Taking taylor expansion of -1 in n 4.621 * [backup-simplify]: Simplify -1 into -1 4.621 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.621 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.622 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.622 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.623 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.623 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.624 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 4.624 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 4.624 * [taylor]: Taking taylor expansion of 2 in n 4.624 * [backup-simplify]: Simplify 2 into 2 4.624 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 4.624 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.624 * [taylor]: Taking taylor expansion of -1 in n 4.624 * [backup-simplify]: Simplify -1 into -1 4.625 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.625 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.625 * [taylor]: Taking taylor expansion of n in n 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.628 * [backup-simplify]: Simplify (+ 0 0) into 0 4.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.629 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.630 * [backup-simplify]: Simplify (- 0) into 0 4.630 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 4.631 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 4.631 * [taylor]: Taking taylor expansion of 2 in n 4.631 * [backup-simplify]: Simplify 2 into 2 4.631 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 4.631 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.631 * [taylor]: Taking taylor expansion of -1 in n 4.631 * [backup-simplify]: Simplify -1 into -1 4.632 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.632 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.632 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.632 * [taylor]: Taking taylor expansion of n in n 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (* 1 1) into 1 4.633 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.642 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.643 * [backup-simplify]: Simplify (- 0) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 4.645 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 4.645 * [taylor]: Taking taylor expansion of 2 in n 4.645 * [backup-simplify]: Simplify 2 into 2 4.645 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 4.645 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.645 * [taylor]: Taking taylor expansion of -1 in n 4.645 * [backup-simplify]: Simplify -1 into -1 4.645 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.646 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 4.646 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.646 * [taylor]: Taking taylor expansion of n in n 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.646 * [backup-simplify]: Simplify (* 1 1) into 1 4.647 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 4.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 4.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 4.655 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.655 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.655 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.655 * [taylor]: Taking taylor expansion of f in n 4.655 * [backup-simplify]: Simplify f into f 4.656 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.656 * [taylor]: Taking taylor expansion of n in n 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (/ 1 1) into 1 4.656 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.656 * [taylor]: Taking taylor expansion of n in n 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (/ 1 1) into 1 4.656 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.656 * [taylor]: Taking taylor expansion of f in n 4.656 * [backup-simplify]: Simplify f into f 4.656 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.657 * [backup-simplify]: Simplify (+ 0 1) into 1 4.657 * [backup-simplify]: Simplify (+ 1 0) into 1 4.657 * [backup-simplify]: Simplify (/ 1 1) into 1 4.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.658 * [taylor]: Taking taylor expansion of f in f 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify (/ 1 1) into 1 4.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.658 * [taylor]: Taking taylor expansion of n in f 4.658 * [backup-simplify]: Simplify n into n 4.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.658 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.658 * [taylor]: Taking taylor expansion of n in f 4.658 * [backup-simplify]: Simplify n into n 4.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.658 * [taylor]: Taking taylor expansion of f in f 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify (/ 1 1) into 1 4.659 * [backup-simplify]: Simplify (+ 1 0) into 1 4.659 * [backup-simplify]: Simplify (- 1) into -1 4.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.659 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.659 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.659 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.659 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.659 * [taylor]: Taking taylor expansion of f in f 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.660 * [taylor]: Taking taylor expansion of n in f 4.660 * [backup-simplify]: Simplify n into n 4.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.660 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.660 * [taylor]: Taking taylor expansion of n in f 4.660 * [backup-simplify]: Simplify n into n 4.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.660 * [taylor]: Taking taylor expansion of f in f 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [backup-simplify]: Simplify (+ 1 0) into 1 4.661 * [backup-simplify]: Simplify (- 1) into -1 4.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.661 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.661 * [taylor]: Taking taylor expansion of -1 in n 4.661 * [backup-simplify]: Simplify -1 into -1 4.661 * [backup-simplify]: Simplify -1 into -1 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (- 0) into 0 4.663 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.663 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.663 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.663 * [taylor]: Taking taylor expansion of 2 in n 4.663 * [backup-simplify]: Simplify 2 into 2 4.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.663 * [taylor]: Taking taylor expansion of n in n 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (/ 1 1) into 1 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.664 * [backup-simplify]: Simplify (- 0) into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (- 0) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.667 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.667 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.667 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.667 * [taylor]: Taking taylor expansion of 2 in n 4.667 * [backup-simplify]: Simplify 2 into 2 4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.667 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.667 * [taylor]: Taking taylor expansion of n in n 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (* 1 1) into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.670 * [backup-simplify]: Simplify (- 0) into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.671 * [backup-simplify]: Simplify (- 0) into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (- 0) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [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)))) 4.675 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.676 * [taylor]: Taking taylor expansion of 2 in n 4.676 * [backup-simplify]: Simplify 2 into 2 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.676 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.676 * [taylor]: Taking taylor expansion of n in n 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.677 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (- 0) into 0 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify -1 into -1 4.691 * * * [progress]: simplifying candidates 4.699 * [simplify]: Simplifying: (expm1 (pow (/ (- (+ f n)) (- f n)) 3)) (log1p (pow (/ (- (+ f n)) (- f n)) 3)) (* (- (log (- (+ f n))) (log (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* 1 3) (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (pow (/ (- (+ f n)) (- f n)) 1) (pow (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (cbrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (- (+ f n))) (sqrt (- f 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[simplify]: Extracting # 4 : cost 0 4.711 * * [simplify]: Extracting # 5 : cost 0 4.711 * * [simplify]: Extracting # 6 : cost 0 4.712 * * [simplify]: Extracting # 7 : cost 0 4.712 * * [simplify]: iteration 0 : 324 enodes (cost 8171 ) 4.937 * * [simplify]: Extracting # 0 : cost 0 4.938 * * [simplify]: Extracting # 1 : cost 0 4.940 * * [simplify]: Extracting # 2 : cost 0 4.941 * * [simplify]: Extracting # 3 : cost 0 4.942 * * [simplify]: Extracting # 4 : cost 0 4.943 * * [simplify]: iteration 1 : 955 enodes (cost 6853 ) 5.368 * * [simplify]: Extracting # 0 : cost 0 5.372 * * [simplify]: Extracting # 1 : cost 0 5.376 * * [simplify]: Extracting # 2 : cost 0 5.379 * * [simplify]: Extracting # 3 : cost 0 5.383 * * [simplify]: Extracting # 4 : cost 0 5.392 * * [simplify]: iteration 2 : 2875 enodes (cost 6311 ) 6.494 * * [simplify]: Extracting # 0 : cost 0 6.506 * * [simplify]: Extracting # 1 : cost 0 6.518 * * [simplify]: Extracting # 2 : cost 0 6.528 * * [simplify]: Extracting # 3 : cost 0 6.534 * * [simplify]: Extracting # 4 : cost 0 6.541 * * [simplify]: iteration done: 5000 enodes (cost 6311 ) 6.544 * [simplify]: Simplified to: (expm1 (pow (/ (- (+ f n)) (- f n)) 3)) (log1p (pow (/ (- (+ f n)) (- f n)) 3)) (* (log (- (/ (+ f n) (- f n)))) 3) (* (log (- (/ (+ f n) (- f n)))) 3) (* (log (- (/ (+ f n) (- f n)))) 3) 3 (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (/ (- (- f) n) (- f n)) (pow (/ (- (- f) n) (- f n)) 2) (/ (- (- f) n) (- f n)) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (- (- f) n) (- f n)) 2) (/ (- (- f) n) (- f n)) (/ (* (+ f n) (+ f n)) (pow (sqrt (- f n)) 3)) (/ (- (- f) n) (pow (sqrt (- f n)) 3)) (* (+ f n) (+ f n)) (/ (- (- f) n) (pow (- f n) 3)) (/ (* (+ f n) (+ f n)) (pow (+ (sqrt f) (sqrt n)) 3)) (/ (- (- f) n) (pow (- (sqrt f) (sqrt n)) 3)) (* (+ f n) (+ f n)) (/ (- (- f) n) (pow (- f n) 3)) (/ (/ (pow (sqrt (- (+ f n))) 3) (- f n)) (- f n)) (/ (pow (sqrt (- (+ 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(/ (+ 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 (/ -1 (* (- f n) (- 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 (pow (/ (- (- f) n) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (/ (cbrt (* (+ f n) (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (cbrt (* (+ f n) (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (cbrt (* (+ f n) (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (cbrt (* (+ f n) (+ 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)) (cbrt (/ 1 (* (- f n) (- 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 (/ 1 (* (- f n) (- 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)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (fma f f (* n (+ f n))) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (- (cbrt (/ (+ f n) (- f n)))) (cbrt (pow (/ (- (- f) n) (- f n)) 2)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (- f) n) (- f n)) (cbrt (pow (- (/ (+ f n) (- f n))) 3/2)) (cbrt (pow (- (/ (+ f n) (- f n))) 3/2)) (- (+ f n)) (- f n) (cbrt (pow (/ (- (- f) n) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (pow (- (/ (+ f n) (- f n))) 3) (sqrt (- (/ (+ f n) (- f n)))) (sqrt (- (/ (+ f n) (- f n)))) 1 -1 -1 1 -1 -1 1 -1 -1 6.548 * * * [progress]: adding candidates to table 7.201 * * [progress]: iteration 3 / 4 7.201 * * * [progress]: picking best candidate 7.208 * * * * [pick]: Picked # 7.208 * * * [progress]: localizing error 7.220 * * * [progress]: generating rewritten candidates 7.220 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 7.251 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 7.347 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 7.488 * * * [progress]: generating series expansions 7.488 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 7.489 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 7.489 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 7.489 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.489 * [taylor]: Taking taylor expansion of (+ n f) in n 7.489 * [taylor]: Taking taylor expansion of n in n 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [taylor]: Taking taylor expansion of f in n 7.489 * [backup-simplify]: Simplify f into f 7.489 * [taylor]: Taking taylor expansion of (- f n) in n 7.489 * [taylor]: Taking taylor expansion of f in n 7.489 * [backup-simplify]: Simplify f into f 7.489 * [taylor]: Taking taylor expansion of n in n 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (+ 0 f) into f 7.490 * [backup-simplify]: Simplify (- 0) into 0 7.490 * [backup-simplify]: Simplify (+ f 0) into f 7.490 * [backup-simplify]: Simplify (/ f f) into 1 7.490 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.490 * [taylor]: Taking taylor expansion of (+ n f) in f 7.490 * [taylor]: Taking taylor expansion of n in f 7.490 * [backup-simplify]: Simplify n into n 7.490 * [taylor]: Taking taylor expansion of f in f 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [taylor]: Taking taylor expansion of (- f n) in f 7.490 * [taylor]: Taking taylor expansion of f in f 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.490 * [taylor]: Taking taylor expansion of n in f 7.491 * [backup-simplify]: Simplify n into n 7.491 * [backup-simplify]: Simplify (+ n 0) into n 7.491 * [backup-simplify]: Simplify (- n) into (- n) 7.491 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.491 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.491 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.491 * [taylor]: Taking taylor expansion of (+ n f) in f 7.491 * [taylor]: Taking taylor expansion of n in f 7.491 * [backup-simplify]: Simplify n into n 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 * [taylor]: Taking taylor expansion of (- f n) 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 * [taylor]: Taking taylor expansion of n in f 7.491 * [backup-simplify]: Simplify n into n 7.491 * [backup-simplify]: Simplify (+ n 0) into n 7.491 * [backup-simplify]: Simplify (- n) into (- n) 7.491 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.491 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.492 * [taylor]: Taking taylor expansion of -1 in n 7.492 * [backup-simplify]: Simplify -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 (- 0) into 0 7.493 * [backup-simplify]: Simplify (+ 1 0) into 1 7.493 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.493 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.493 * [taylor]: Taking taylor expansion of 2 in n 7.493 * [backup-simplify]: Simplify 2 into 2 7.493 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.493 * [taylor]: Taking taylor expansion of n in n 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify 1 into 1 7.494 * [backup-simplify]: Simplify (/ 1 1) into 1 7.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.496 * [backup-simplify]: Simplify (- 0) into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (+ 0 0) into 0 7.497 * [backup-simplify]: Simplify (- 0) into 0 7.497 * [backup-simplify]: Simplify (+ 0 0) into 0 7.498 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.498 * [taylor]: Taking taylor expansion of 2 in n 7.498 * [backup-simplify]: Simplify 2 into 2 7.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.498 * [taylor]: Taking taylor expansion of n in n 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 1 into 1 7.498 * [backup-simplify]: Simplify (* 1 1) into 1 7.499 * [backup-simplify]: Simplify (/ 1 1) into 1 7.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.503 * [backup-simplify]: Simplify (- 0) into 0 7.503 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.505 * [backup-simplify]: Simplify (- 0) into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify (+ 0 0) into 0 7.506 * [backup-simplify]: Simplify (- 0) into 0 7.506 * [backup-simplify]: Simplify (+ 0 0) into 0 7.507 * [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)))) 7.507 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.507 * [taylor]: Taking taylor expansion of 2 in n 7.507 * [backup-simplify]: Simplify 2 into 2 7.507 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.507 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.507 * [taylor]: Taking taylor expansion of n in n 7.507 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify 1 into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.513 * [backup-simplify]: Simplify (- 0) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify -1 into -1 7.513 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 7.513 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 7.513 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.513 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.513 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.513 * [taylor]: Taking taylor expansion of f in n 7.513 * [backup-simplify]: Simplify f into f 7.513 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.513 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.513 * [taylor]: Taking taylor expansion of n in n 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (/ 1 1) into 1 7.514 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.514 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.514 * [taylor]: Taking taylor expansion of f in n 7.514 * [backup-simplify]: Simplify f into f 7.514 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.514 * [taylor]: Taking taylor expansion of n in n 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (/ 1 1) into 1 7.514 * [backup-simplify]: Simplify (+ 0 1) into 1 7.515 * [backup-simplify]: Simplify (- 1) into -1 7.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.515 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.515 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.515 * [taylor]: Taking taylor expansion of f in f 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 7.515 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.515 * [taylor]: Taking taylor expansion of n in f 7.515 * [backup-simplify]: Simplify n into n 7.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.516 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.516 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.516 * [taylor]: Taking taylor expansion of f in f 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 1 into 1 7.516 * [backup-simplify]: Simplify (/ 1 1) into 1 7.516 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.516 * [taylor]: Taking taylor expansion of n in f 7.516 * [backup-simplify]: Simplify n into n 7.516 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.516 * [backup-simplify]: Simplify (+ 1 0) into 1 7.516 * [backup-simplify]: Simplify (+ 1 0) into 1 7.517 * [backup-simplify]: Simplify (/ 1 1) into 1 7.517 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.517 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.517 * [taylor]: Taking taylor expansion of f in f 7.517 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify 1 into 1 7.517 * [backup-simplify]: Simplify (/ 1 1) into 1 7.517 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.517 * [taylor]: Taking taylor expansion of n in f 7.517 * [backup-simplify]: Simplify n into n 7.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.517 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.517 * [taylor]: Taking taylor expansion of f in f 7.517 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify 1 into 1 7.517 * [backup-simplify]: Simplify (/ 1 1) into 1 7.518 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.518 * [taylor]: Taking taylor expansion of n in f 7.518 * [backup-simplify]: Simplify n into n 7.518 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.518 * [backup-simplify]: Simplify (+ 1 0) into 1 7.518 * [backup-simplify]: Simplify (+ 1 0) into 1 7.518 * [backup-simplify]: Simplify (/ 1 1) into 1 7.518 * [taylor]: Taking taylor expansion of 1 in n 7.518 * [backup-simplify]: Simplify 1 into 1 7.519 * [backup-simplify]: Simplify 1 into 1 7.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.519 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.520 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.520 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.520 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.520 * [taylor]: Taking taylor expansion of 2 in n 7.520 * [backup-simplify]: Simplify 2 into 2 7.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.520 * [taylor]: Taking taylor expansion of n in n 7.520 * [backup-simplify]: Simplify 0 into 0 7.520 * [backup-simplify]: Simplify 1 into 1 7.520 * [backup-simplify]: Simplify (/ 1 1) into 1 7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.521 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.522 * [backup-simplify]: Simplify (+ 0 0) into 0 7.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.523 * [backup-simplify]: Simplify (- 0) into 0 7.523 * [backup-simplify]: Simplify (+ 0 0) into 0 7.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.524 * [taylor]: Taking taylor expansion of 2 in n 7.524 * [backup-simplify]: Simplify 2 into 2 7.524 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.524 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.524 * [taylor]: Taking taylor expansion of n in n 7.524 * [backup-simplify]: Simplify 0 into 0 7.524 * [backup-simplify]: Simplify 1 into 1 7.524 * [backup-simplify]: Simplify (* 1 1) into 1 7.524 * [backup-simplify]: Simplify (/ 1 1) into 1 7.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.529 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.530 * [backup-simplify]: Simplify (- 0) into 0 7.530 * [backup-simplify]: Simplify (+ 0 0) into 0 7.531 * [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))) 7.531 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.531 * [taylor]: Taking taylor expansion of 2 in n 7.531 * [backup-simplify]: Simplify 2 into 2 7.531 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.531 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.531 * [taylor]: Taking taylor expansion of n in n 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (* 1 1) into 1 7.531 * [backup-simplify]: Simplify (* 1 1) into 1 7.532 * [backup-simplify]: Simplify (/ 1 1) into 1 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 7.540 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.540 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.540 * [taylor]: Taking taylor expansion of -1 in n 7.540 * [backup-simplify]: Simplify -1 into -1 7.540 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.540 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.540 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.540 * [taylor]: Taking taylor expansion of f in n 7.540 * [backup-simplify]: Simplify f into f 7.540 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.540 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.540 * [taylor]: Taking taylor expansion of n in n 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.541 * [backup-simplify]: Simplify (/ 1 1) into 1 7.541 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.541 * [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 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.541 * [taylor]: Taking taylor expansion of f in n 7.541 * [backup-simplify]: Simplify f into f 7.541 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.542 * [backup-simplify]: Simplify (+ 0 1) into 1 7.542 * [backup-simplify]: Simplify (+ 1 0) into 1 7.543 * [backup-simplify]: Simplify (/ 1 1) into 1 7.543 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.543 * [taylor]: Taking taylor expansion of -1 in f 7.543 * [backup-simplify]: Simplify -1 into -1 7.543 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.543 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.543 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.543 * [taylor]: Taking taylor expansion of f in f 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 1 into 1 7.543 * [backup-simplify]: Simplify (/ 1 1) into 1 7.543 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.543 * [taylor]: Taking taylor expansion of n in f 7.543 * [backup-simplify]: Simplify n into n 7.543 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.543 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.543 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.543 * [taylor]: Taking taylor expansion of n in f 7.543 * [backup-simplify]: Simplify n into n 7.543 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.544 * [taylor]: Taking taylor expansion of f in f 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [backup-simplify]: Simplify (/ 1 1) into 1 7.544 * [backup-simplify]: Simplify (+ 1 0) into 1 7.545 * [backup-simplify]: Simplify (- 1) into -1 7.545 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.545 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.546 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.546 * [taylor]: Taking taylor expansion of -1 in f 7.546 * [backup-simplify]: Simplify -1 into -1 7.546 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.546 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.546 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.546 * [taylor]: Taking taylor expansion of f in f 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [backup-simplify]: Simplify (/ 1 1) into 1 7.546 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.546 * [taylor]: Taking taylor expansion of n in f 7.546 * [backup-simplify]: Simplify n into n 7.546 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.546 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.546 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.547 * [taylor]: Taking taylor expansion of n in f 7.547 * [backup-simplify]: Simplify n into n 7.547 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.547 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.547 * [taylor]: Taking taylor expansion of f in f 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 1 into 1 7.547 * [backup-simplify]: Simplify (/ 1 1) into 1 7.547 * [backup-simplify]: Simplify (+ 1 0) into 1 7.548 * [backup-simplify]: Simplify (- 1) into -1 7.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.549 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.549 * [backup-simplify]: Simplify (* -1 -1) into 1 7.549 * [taylor]: Taking taylor expansion of 1 in n 7.549 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify 1 into 1 7.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.550 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.551 * [backup-simplify]: Simplify (- 0) into 0 7.551 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.551 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.552 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.552 * [taylor]: Taking taylor expansion of 2 in n 7.552 * [backup-simplify]: Simplify 2 into 2 7.552 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.552 * [taylor]: Taking taylor expansion of n in n 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.554 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 0 into 0 7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.562 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.563 * [backup-simplify]: Simplify (- 0) into 0 7.564 * [backup-simplify]: Simplify (+ 0 0) into 0 7.565 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.566 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.566 * [taylor]: Taking taylor expansion of 2 in n 7.566 * [backup-simplify]: Simplify 2 into 2 7.566 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.566 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.566 * [taylor]: Taking taylor expansion of n in n 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 1 into 1 7.566 * [backup-simplify]: Simplify (* 1 1) into 1 7.567 * [backup-simplify]: Simplify (/ 1 1) into 1 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.574 * [backup-simplify]: Simplify (+ 0 0) into 0 7.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.575 * [backup-simplify]: Simplify (- 0) into 0 7.576 * [backup-simplify]: Simplify (+ 0 0) into 0 7.578 * [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)))) 7.578 * [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))) 7.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.579 * [taylor]: Taking taylor expansion of 2 in n 7.579 * [backup-simplify]: Simplify 2 into 2 7.579 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.579 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.579 * [taylor]: Taking taylor expansion of n in n 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.579 * [backup-simplify]: Simplify (* 1 1) into 1 7.579 * [backup-simplify]: Simplify (* 1 1) into 1 7.580 * [backup-simplify]: Simplify (/ 1 1) into 1 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 1 into 1 7.589 * * * * [progress]: [ 2 / 3 ] generating series at (2) 7.590 * [backup-simplify]: Simplify (log (exp (- (/ (+ f n) (- f n))))) into (- (+ (/ n (- f n)) (/ f (- f n)))) 7.590 * [approximate]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in (f n) around 0 7.590 * [taylor]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in n 7.590 * [taylor]: Taking taylor expansion of (+ (/ n (- f n)) (/ f (- f n))) in n 7.590 * [taylor]: Taking taylor expansion of (/ n (- f n)) in n 7.590 * [taylor]: Taking taylor expansion of n in n 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [taylor]: Taking taylor expansion of (- f n) in n 7.590 * [taylor]: Taking taylor expansion of f in n 7.590 * [backup-simplify]: Simplify f into f 7.590 * [taylor]: Taking taylor expansion of n in n 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.591 * [backup-simplify]: Simplify (- 0) into 0 7.591 * [backup-simplify]: Simplify (+ f 0) into f 7.591 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.591 * [taylor]: Taking taylor expansion of (/ f (- f n)) in n 7.591 * [taylor]: Taking taylor expansion of f in n 7.591 * [backup-simplify]: Simplify f into f 7.591 * [taylor]: Taking taylor expansion of (- f n) in n 7.591 * [taylor]: Taking taylor expansion of f in n 7.591 * [backup-simplify]: Simplify f into f 7.591 * [taylor]: Taking taylor expansion of n in n 7.591 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify 1 into 1 7.592 * [backup-simplify]: Simplify (- 0) into 0 7.592 * [backup-simplify]: Simplify (+ f 0) into f 7.592 * [backup-simplify]: Simplify (/ f f) into 1 7.592 * [taylor]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in f 7.592 * [taylor]: Taking taylor expansion of (+ (/ n (- f n)) (/ f (- f n))) in f 7.592 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 7.592 * [taylor]: Taking taylor expansion of n in f 7.592 * [backup-simplify]: Simplify n into n 7.592 * [taylor]: Taking taylor expansion of (- f n) in f 7.592 * [taylor]: Taking taylor expansion of f in f 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [taylor]: Taking taylor expansion of n in f 7.592 * [backup-simplify]: Simplify n into n 7.592 * [backup-simplify]: Simplify (- n) into (- n) 7.592 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.592 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.592 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 7.592 * [taylor]: Taking taylor expansion of f in f 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [taylor]: Taking taylor expansion of (- f n) in f 7.592 * [taylor]: Taking taylor expansion of f in f 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.592 * [taylor]: Taking taylor expansion of n in f 7.592 * [backup-simplify]: Simplify n into n 7.593 * [backup-simplify]: Simplify (- n) into (- n) 7.593 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.593 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.593 * [taylor]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in f 7.593 * [taylor]: Taking taylor expansion of (+ (/ n (- f n)) (/ f (- f n))) in f 7.593 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 7.593 * [taylor]: Taking taylor expansion of n in f 7.593 * [backup-simplify]: Simplify n into n 7.593 * [taylor]: Taking taylor expansion of (- f n) in f 7.593 * [taylor]: Taking taylor expansion of f in f 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of n in f 7.593 * [backup-simplify]: Simplify n into n 7.593 * [backup-simplify]: Simplify (- n) into (- n) 7.593 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.593 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.593 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 7.593 * [taylor]: Taking taylor expansion of f in f 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of (- f n) in f 7.593 * [taylor]: Taking taylor expansion of f in f 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.593 * [taylor]: Taking taylor expansion of n in f 7.593 * [backup-simplify]: Simplify n into n 7.594 * [backup-simplify]: Simplify (- n) into (- n) 7.594 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.594 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.594 * [backup-simplify]: Simplify (+ -1 0) into -1 7.595 * [backup-simplify]: Simplify (- -1) into 1 7.595 * [taylor]: Taking taylor expansion of 1 in n 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (- 0) into 0 7.596 * [backup-simplify]: Simplify (+ 1 0) into 1 7.596 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (/ 1 n)) 7.596 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (/ -1 n)) into (- (* 2 (/ 1 n))) 7.596 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 n)))) into (* 2 (/ 1 n)) 7.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.596 * [taylor]: Taking taylor expansion of 2 in n 7.596 * [backup-simplify]: Simplify 2 into 2 7.596 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.596 * [taylor]: Taking taylor expansion of n in n 7.596 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (/ 1 1) into 1 7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.598 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify (- 0) into 0 7.599 * [backup-simplify]: Simplify (+ 0 0) into 0 7.599 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (/ 1 n)) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.599 * [backup-simplify]: Simplify (- 0) into 0 7.600 * [backup-simplify]: Simplify (+ 1 0) into 1 7.600 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.600 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.600 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 7.600 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.600 * [taylor]: Taking taylor expansion of 2 in n 7.600 * [backup-simplify]: Simplify 2 into 2 7.600 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.600 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.600 * [taylor]: Taking taylor expansion of n in n 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (* 1 1) into 1 7.601 * [backup-simplify]: Simplify (/ 1 1) into 1 7.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (- 0) into 0 7.605 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (/ 1 n)) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 7.606 * [backup-simplify]: Simplify (- 0) into 0 7.606 * [backup-simplify]: Simplify (+ 0 0) into 0 7.607 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 7.607 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.607 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 3))))) into (* 2 (/ 1 (pow n 3))) 7.607 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.607 * [taylor]: Taking taylor expansion of 2 in n 7.607 * [backup-simplify]: Simplify 2 into 2 7.607 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.607 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.607 * [taylor]: Taking taylor expansion of n in n 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 1 into 1 7.607 * [backup-simplify]: Simplify (* 1 1) into 1 7.607 * [backup-simplify]: Simplify (* 1 1) into 1 7.608 * [backup-simplify]: Simplify (/ 1 1) into 1 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 1 into 1 7.613 * [backup-simplify]: Simplify (log (exp (- (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) into (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) 7.613 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 7.614 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in n 7.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))) in n 7.614 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in n 7.614 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in n 7.614 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.614 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.614 * [taylor]: Taking taylor expansion of f in n 7.614 * [backup-simplify]: Simplify f into f 7.614 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.614 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.614 * [taylor]: Taking taylor expansion of n in n 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 1 into 1 7.614 * [backup-simplify]: Simplify (/ 1 1) into 1 7.614 * [taylor]: Taking taylor expansion of f in n 7.614 * [backup-simplify]: Simplify f into f 7.614 * [backup-simplify]: Simplify (- 1) into -1 7.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.615 * [backup-simplify]: Simplify (* -1 f) into (* -1 f) 7.615 * [backup-simplify]: Simplify (/ 1 (* -1 f)) into (/ -1 f) 7.615 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in n 7.615 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in n 7.615 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.615 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.615 * [taylor]: Taking taylor expansion of f in n 7.615 * [backup-simplify]: Simplify f into f 7.615 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.615 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.615 * [taylor]: Taking taylor expansion of n in n 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [backup-simplify]: Simplify (/ 1 1) into 1 7.615 * [taylor]: Taking taylor expansion of n in n 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.615 * [backup-simplify]: Simplify (- 1) into -1 7.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.616 * [backup-simplify]: Simplify (* -1 0) into 0 7.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- 0) into 0 7.617 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.617 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 f) 0)) into (- 1) 7.617 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 7.617 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in f 7.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))) in f 7.617 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in f 7.617 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 7.617 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.617 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.617 * [taylor]: Taking taylor expansion of f in f 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (/ 1 1) into 1 7.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.618 * [taylor]: Taking taylor expansion of n in f 7.618 * [backup-simplify]: Simplify n into n 7.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.618 * [taylor]: Taking taylor expansion of f in f 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (+ 1 0) into 1 7.619 * [backup-simplify]: Simplify (* 1 0) into 0 7.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.619 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.619 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.620 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 7.620 * [backup-simplify]: Simplify (/ 1 1) into 1 7.620 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in f 7.620 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 7.620 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.620 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.620 * [taylor]: Taking taylor expansion of f in f 7.620 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [backup-simplify]: Simplify (/ 1 1) into 1 7.620 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.620 * [taylor]: Taking taylor expansion of n in f 7.620 * [backup-simplify]: Simplify n into n 7.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.620 * [taylor]: Taking taylor expansion of n in f 7.620 * [backup-simplify]: Simplify n into n 7.621 * [backup-simplify]: Simplify (+ 1 0) into 1 7.621 * [backup-simplify]: Simplify (* 1 n) into n 7.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.621 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in f 7.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))) in f 7.621 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in f 7.621 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 7.621 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.621 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.621 * [taylor]: Taking taylor expansion of f in f 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.621 * [backup-simplify]: Simplify (/ 1 1) into 1 7.621 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.621 * [taylor]: Taking taylor expansion of n in f 7.621 * [backup-simplify]: Simplify n into n 7.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.621 * [taylor]: Taking taylor expansion of f in f 7.621 * [backup-simplify]: Simplify 0 into 0 7.621 * [backup-simplify]: Simplify 1 into 1 7.622 * [backup-simplify]: Simplify (+ 1 0) into 1 7.622 * [backup-simplify]: Simplify (* 1 0) into 0 7.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.622 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.622 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.623 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 7.623 * [backup-simplify]: Simplify (/ 1 1) into 1 7.623 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in f 7.623 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 7.623 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.623 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.623 * [taylor]: Taking taylor expansion of f in f 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.623 * [backup-simplify]: Simplify (/ 1 1) into 1 7.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.623 * [taylor]: Taking taylor expansion of n in f 7.623 * [backup-simplify]: Simplify n into n 7.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.623 * [taylor]: Taking taylor expansion of n in f 7.623 * [backup-simplify]: Simplify n into n 7.624 * [backup-simplify]: Simplify (+ 1 0) into 1 7.624 * [backup-simplify]: Simplify (* 1 n) into n 7.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.624 * [backup-simplify]: Simplify (+ 1 0) into 1 7.624 * [backup-simplify]: Simplify (- 1) into -1 7.624 * [taylor]: Taking taylor expansion of -1 in n 7.624 * [backup-simplify]: Simplify -1 into -1 7.624 * [backup-simplify]: Simplify -1 into -1 7.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.625 * [backup-simplify]: Simplify (- 0) into 0 7.626 * [backup-simplify]: Simplify (+ 0 0) into 0 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 1) (* 0 0))) into (- (/ 1 n)) 7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 7.626 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.626 * [backup-simplify]: Simplify (- (* 2 (/ 1 n))) into (- (* 2 (/ 1 n))) 7.626 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.626 * [taylor]: Taking taylor expansion of 2 in n 7.626 * [backup-simplify]: Simplify 2 into 2 7.626 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.626 * [taylor]: Taking taylor expansion of n in n 7.626 * [backup-simplify]: Simplify 0 into 0 7.626 * [backup-simplify]: Simplify 1 into 1 7.627 * [backup-simplify]: Simplify (/ 1 1) into 1 7.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.628 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.628 * [backup-simplify]: Simplify (- 0) into 0 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.629 * [backup-simplify]: Simplify (- 0) into 0 7.629 * [backup-simplify]: Simplify (+ 0 0) into 0 7.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 1) (* 0 0)))) into 0 7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.631 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.631 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.631 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 n)) n)) into (- 1) 7.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ (- 1) n)))) into (/ 1 (pow n 2)) 7.631 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.632 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.632 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.632 * [taylor]: Taking taylor expansion of 2 in n 7.632 * [backup-simplify]: Simplify 2 into 2 7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.632 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.632 * [taylor]: Taking taylor expansion of n in n 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify 1 into 1 7.632 * [backup-simplify]: Simplify (* 1 1) into 1 7.632 * [backup-simplify]: Simplify (/ 1 1) into 1 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.635 * [backup-simplify]: Simplify (- 0) into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.636 * [backup-simplify]: Simplify (- 0) into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 0 into 0 7.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.637 * [backup-simplify]: Simplify (- 0) into 0 7.637 * [backup-simplify]: Simplify (+ 0 0) into 0 7.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 7.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.640 * [backup-simplify]: Simplify (- 0) into 0 7.640 * [backup-simplify]: Simplify (+ 0 0) into 0 7.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (* 0 n))) into 0 7.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ (- 1) n)))) into (/ 1 (pow n 3)) 7.641 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.641 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.641 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.641 * [taylor]: Taking taylor expansion of 2 in n 7.641 * [backup-simplify]: Simplify 2 into 2 7.642 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.642 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.642 * [taylor]: Taking taylor expansion of n in n 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (* 1 1) into 1 7.642 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (/ 1 1) into 1 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.652 * [backup-simplify]: Simplify (- 0) into 0 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify -1 into -1 7.653 * [backup-simplify]: Simplify (log (exp (- (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) 7.653 * [approximate]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in (f n) around 0 7.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in n 7.653 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in n 7.653 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in n 7.653 * [taylor]: Taking taylor expansion of n in n 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify 1 into 1 7.653 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.653 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.653 * [taylor]: Taking taylor expansion of n in n 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify 1 into 1 7.654 * [backup-simplify]: Simplify (/ 1 1) into 1 7.654 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.654 * [taylor]: Taking taylor expansion of f in n 7.654 * [backup-simplify]: Simplify f into f 7.654 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.654 * [backup-simplify]: Simplify (+ 1 0) into 1 7.655 * [backup-simplify]: Simplify (* 0 1) into 0 7.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.656 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.656 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.656 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 f))) (* 1 1)) into 1 7.657 * [backup-simplify]: Simplify (/ 1 1) into 1 7.657 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in n 7.657 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in n 7.657 * [taylor]: Taking taylor expansion of f in n 7.657 * [backup-simplify]: Simplify f into f 7.657 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.657 * [taylor]: Taking taylor expansion of n in n 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 1 into 1 7.657 * [backup-simplify]: Simplify (/ 1 1) into 1 7.657 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.657 * [taylor]: Taking taylor expansion of f in n 7.657 * [backup-simplify]: Simplify f into f 7.657 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.658 * [backup-simplify]: Simplify (+ 1 0) into 1 7.658 * [backup-simplify]: Simplify (* f 1) into f 7.658 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in f 7.658 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 7.658 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 7.658 * [taylor]: Taking taylor expansion of n in f 7.658 * [backup-simplify]: Simplify n into n 7.658 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.658 * [taylor]: Taking taylor expansion of n in f 7.658 * [backup-simplify]: Simplify n into n 7.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.658 * [taylor]: Taking taylor expansion of f in f 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (/ 1 1) into 1 7.659 * [backup-simplify]: Simplify (- 1) into -1 7.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.660 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 7.660 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 7.660 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in f 7.660 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in f 7.660 * [taylor]: Taking taylor expansion of f in f 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.660 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.660 * [taylor]: Taking taylor expansion of n in f 7.660 * [backup-simplify]: Simplify n into n 7.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.660 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.660 * [taylor]: Taking taylor expansion of f in f 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.661 * [backup-simplify]: Simplify (/ 1 1) into 1 7.661 * [backup-simplify]: Simplify (- 1) into -1 7.661 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.662 * [backup-simplify]: Simplify (* 0 -1) into 0 7.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.663 * [backup-simplify]: Simplify (- 0) into 0 7.663 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.664 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* 1 -1)) into (- 1) 7.664 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 7.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in f 7.664 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 7.664 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 7.664 * [taylor]: Taking taylor expansion of n in f 7.664 * [backup-simplify]: Simplify n into n 7.664 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.664 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.664 * [taylor]: Taking taylor expansion of n in f 7.664 * [backup-simplify]: Simplify n into n 7.664 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.664 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.664 * [taylor]: Taking taylor expansion of f in f 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify (/ 1 1) into 1 7.665 * [backup-simplify]: Simplify (- 1) into -1 7.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.666 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 7.666 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 7.666 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in f 7.666 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in f 7.666 * [taylor]: Taking taylor expansion of f in f 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.666 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.666 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.666 * [taylor]: Taking taylor expansion of n in f 7.666 * [backup-simplify]: Simplify n into n 7.666 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.666 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.666 * [taylor]: Taking taylor expansion of f in f 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.667 * [backup-simplify]: Simplify (/ 1 1) into 1 7.667 * [backup-simplify]: Simplify (- 1) into -1 7.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.668 * [backup-simplify]: Simplify (* 0 -1) into 0 7.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (- 0) into 0 7.669 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.670 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* 1 -1)) into (- 1) 7.670 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 7.671 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.671 * [taylor]: Taking taylor expansion of -1 in n 7.671 * [backup-simplify]: Simplify -1 into -1 7.671 * [backup-simplify]: Simplify -1 into -1 7.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (- 0) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 n)) (* 0 -1))) into (/ 1 n) 7.674 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) (- 1))))) into (- (/ 1 n)) 7.674 * [backup-simplify]: Simplify (+ (/ -1 n) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.674 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.674 * [taylor]: Taking taylor expansion of 2 in n 7.674 * [backup-simplify]: Simplify 2 into 2 7.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.674 * [taylor]: Taking taylor expansion of n in n 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (/ 1 1) into 1 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.676 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.676 * [backup-simplify]: Simplify (- 0) into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (- 0) into 0 7.677 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.678 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 -1)) into 1 7.678 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (* -1 n))))) into (- (/ 1 (pow n 2))) 7.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.679 * [backup-simplify]: Simplify (- 0) into 0 7.680 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 7.682 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 2))) 7.682 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.682 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.683 * [taylor]: Taking taylor expansion of 2 in n 7.683 * [backup-simplify]: Simplify 2 into 2 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.683 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.683 * [taylor]: Taking taylor expansion of n in n 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (* 1 1) into 1 7.688 * [backup-simplify]: Simplify (/ 1 1) into 1 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.693 * [backup-simplify]: Simplify (- 0) into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.695 * [backup-simplify]: Simplify (- 0) into 0 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (- 0) into 0 7.696 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 (/ 1 n)) (* 0 -1))) into 0 7.697 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (* -1 n))) (* (- (/ 1 (pow n 2))) (/ 1 (* -1 n))))) into (- (/ 1 (pow n 3))) 7.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.697 * [backup-simplify]: Simplify (- 0) into 0 7.698 * [backup-simplify]: Simplify (+ 0 0) into 0 7.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 -1))))) into 0 7.700 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ 0 (- 1))) (* (- (/ 1 (pow n 2))) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 3))) 7.700 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.700 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.700 * [taylor]: Taking taylor expansion of 2 in n 7.701 * [backup-simplify]: Simplify 2 into 2 7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.701 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.701 * [taylor]: Taking taylor expansion of n in n 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.701 * [backup-simplify]: Simplify (* 1 1) into 1 7.701 * [backup-simplify]: Simplify (* 1 1) into 1 7.701 * [backup-simplify]: Simplify (/ 1 1) into 1 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (- 0) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify -1 into -1 7.707 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 7.707 * [backup-simplify]: Simplify (exp (- (/ (+ f n) (- f n)))) into (exp (- (+ (/ n (- f n)) (/ f (- f n))))) 7.707 * [approximate]: Taking taylor expansion of (exp (- (+ (/ n (- f n)) (/ f (- f n))))) in (f n) around 0 7.707 * [taylor]: Taking taylor expansion of (exp (- (+ (/ n (- f n)) (/ f (- f n))))) in n 7.707 * [taylor]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in n 7.707 * [taylor]: Taking taylor expansion of (+ (/ n (- f n)) (/ f (- f n))) in n 7.707 * [taylor]: Taking taylor expansion of (/ n (- f n)) in n 7.707 * [taylor]: Taking taylor expansion of n in n 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [taylor]: Taking taylor expansion of (- f n) in n 7.707 * [taylor]: Taking taylor expansion of f in n 7.707 * [backup-simplify]: Simplify f into f 7.707 * [taylor]: Taking taylor expansion of n in n 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (- 0) into 0 7.707 * [backup-simplify]: Simplify (+ f 0) into f 7.707 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.707 * [taylor]: Taking taylor expansion of (/ f (- f n)) in n 7.707 * [taylor]: Taking taylor expansion of f in n 7.707 * [backup-simplify]: Simplify f into f 7.707 * [taylor]: Taking taylor expansion of (- f n) in n 7.707 * [taylor]: Taking taylor expansion of f in n 7.707 * [backup-simplify]: Simplify f into f 7.707 * [taylor]: Taking taylor expansion of n in n 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (- 0) into 0 7.708 * [backup-simplify]: Simplify (+ f 0) into f 7.708 * [backup-simplify]: Simplify (/ f f) into 1 7.708 * [backup-simplify]: Simplify (+ 0 1) into 1 7.708 * [backup-simplify]: Simplify (- 1) into -1 7.709 * [backup-simplify]: Simplify (- 1) into -1 7.709 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.709 * [taylor]: Taking taylor expansion of (exp (- (+ (/ n (- f n)) (/ f (- f n))))) in f 7.709 * [taylor]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in f 7.709 * [taylor]: Taking taylor expansion of (+ (/ n (- f n)) (/ f (- f n))) in f 7.709 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 7.709 * [taylor]: Taking taylor expansion of n in f 7.709 * [backup-simplify]: Simplify n into n 7.709 * [taylor]: Taking taylor expansion of (- f n) in f 7.709 * [taylor]: Taking taylor expansion of f in f 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [taylor]: Taking taylor expansion of n in f 7.709 * [backup-simplify]: Simplify n into n 7.709 * [backup-simplify]: Simplify (- n) into (- n) 7.709 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.709 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.709 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 7.709 * [taylor]: Taking taylor expansion of f in f 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [taylor]: Taking taylor expansion of (- f n) in f 7.709 * [taylor]: Taking taylor expansion of f in f 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [taylor]: Taking taylor expansion of n in f 7.709 * [backup-simplify]: Simplify n into n 7.709 * [backup-simplify]: Simplify (- n) into (- n) 7.709 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.709 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.710 * [backup-simplify]: Simplify (+ -1 0) into -1 7.710 * [backup-simplify]: Simplify (- -1) into 1 7.710 * [backup-simplify]: Simplify (- -1) into 1 7.710 * [backup-simplify]: Simplify (exp 1) into E 7.710 * [taylor]: Taking taylor expansion of (exp (- (+ (/ n (- f n)) (/ f (- f n))))) in f 7.710 * [taylor]: Taking taylor expansion of (- (+ (/ n (- f n)) (/ f (- f n)))) in f 7.710 * [taylor]: Taking taylor expansion of (+ (/ n (- f n)) (/ f (- f n))) in f 7.710 * [taylor]: Taking taylor expansion of (/ n (- f n)) in f 7.710 * [taylor]: Taking taylor expansion of n in f 7.710 * [backup-simplify]: Simplify n into n 7.710 * [taylor]: Taking taylor expansion of (- f n) in f 7.710 * [taylor]: Taking taylor expansion of f in f 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [taylor]: Taking taylor expansion of n in f 7.710 * [backup-simplify]: Simplify n into n 7.710 * [backup-simplify]: Simplify (- n) into (- n) 7.710 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.711 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.711 * [taylor]: Taking taylor expansion of (/ f (- f n)) in f 7.711 * [taylor]: Taking taylor expansion of f in f 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [taylor]: Taking taylor expansion of (- f n) in f 7.711 * [taylor]: Taking taylor expansion of f in f 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [taylor]: Taking taylor expansion of n in f 7.711 * [backup-simplify]: Simplify n into n 7.711 * [backup-simplify]: Simplify (- n) into (- n) 7.711 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.711 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 7.711 * [backup-simplify]: Simplify (+ -1 0) into -1 7.711 * [backup-simplify]: Simplify (- -1) into 1 7.711 * [backup-simplify]: Simplify (- -1) into 1 7.712 * [backup-simplify]: Simplify (exp 1) into E 7.712 * [taylor]: Taking taylor expansion of E in n 7.712 * [backup-simplify]: Simplify E into E 7.712 * [backup-simplify]: Simplify E into E 7.712 * [backup-simplify]: Simplify (- -1) into 1 7.713 * [backup-simplify]: Simplify (- 0) into 0 7.713 * [backup-simplify]: Simplify (+ 1 0) into 1 7.713 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (/ 1 n)) 7.713 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (/ -1 n)) into (- (* 2 (/ 1 n))) 7.713 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 n)))) into (* 2 (/ 1 n)) 7.713 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 7.714 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 7.714 * [taylor]: Taking taylor expansion of 2 in n 7.714 * [backup-simplify]: Simplify 2 into 2 7.714 * [taylor]: Taking taylor expansion of (/ E n) in n 7.714 * [taylor]: Taking taylor expansion of E in n 7.714 * [backup-simplify]: Simplify E into E 7.714 * [taylor]: Taking taylor expansion of n in n 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ E 1) into E 7.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.715 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (- -1) into 1 7.715 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 n)))) into (* 2 (/ 1 n)) 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.716 * [backup-simplify]: Simplify (+ 0 0) into 0 7.716 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (/ 1 n)) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.717 * [backup-simplify]: Simplify (+ 1 0) into 1 7.717 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 7.717 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.717 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 7.718 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 7.718 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 7.718 * [taylor]: Taking taylor expansion of 4 in n 7.718 * [backup-simplify]: Simplify 4 into 4 7.718 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 7.718 * [taylor]: Taking taylor expansion of E in n 7.718 * [backup-simplify]: Simplify E into E 7.718 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.718 * [taylor]: Taking taylor expansion of n in n 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (* 1 1) into 1 7.718 * [backup-simplify]: Simplify (/ E 1) into E 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 7.721 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify (- -1) into 1 7.723 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 n)))) into (* 2 (/ 1 n)) 7.723 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 n)))) into (* 2 (/ 1 n)) 7.723 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 7.723 * [backup-simplify]: Simplify (- 0) into 0 7.723 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (/ 1 n)) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 7.724 * [backup-simplify]: Simplify (- 0) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.725 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 7.725 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.725 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (pow n 3))))) into (* 2 (/ 1 (pow n 3))) 7.725 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 7.725 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 7.725 * [taylor]: Taking taylor expansion of 22/3 in n 7.726 * [backup-simplify]: Simplify 22/3 into 22/3 7.726 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 7.726 * [taylor]: Taking taylor expansion of E in n 7.726 * [backup-simplify]: Simplify E into E 7.726 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.726 * [taylor]: Taking taylor expansion of n in n 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (* 1 1) into 1 7.726 * [backup-simplify]: Simplify (* 1 1) into 1 7.726 * [backup-simplify]: Simplify (/ E 1) into E 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify E into E 7.735 * [backup-simplify]: Simplify (exp (- (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (exp (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))))) 7.735 * [approximate]: Taking taylor expansion of (exp (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))))) in (f n) around 0 7.735 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))))) in n 7.735 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in n 7.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))) in n 7.735 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in n 7.735 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in n 7.735 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.735 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.735 * [taylor]: Taking taylor expansion of f in n 7.735 * [backup-simplify]: Simplify f into f 7.735 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.735 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.735 * [taylor]: Taking taylor expansion of n in n 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (/ 1 1) into 1 7.736 * [taylor]: Taking taylor expansion of f in n 7.736 * [backup-simplify]: Simplify f into f 7.736 * [backup-simplify]: Simplify (- 1) into -1 7.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.736 * [backup-simplify]: Simplify (* -1 f) into (* -1 f) 7.737 * [backup-simplify]: Simplify (/ 1 (* -1 f)) into (/ -1 f) 7.737 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in n 7.737 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in n 7.737 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.737 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.737 * [taylor]: Taking taylor expansion of f in n 7.737 * [backup-simplify]: Simplify f into f 7.737 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.737 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.737 * [taylor]: Taking taylor expansion of n in n 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.737 * [backup-simplify]: Simplify (/ 1 1) into 1 7.737 * [taylor]: Taking taylor expansion of n in n 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.738 * [backup-simplify]: Simplify (- 1) into -1 7.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.739 * [backup-simplify]: Simplify (* -1 0) into 0 7.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (- 0) into 0 7.740 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.741 * [backup-simplify]: Simplify (+ (* -1 1) (* (/ 1 f) 0)) into (- 1) 7.741 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 7.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.742 * [backup-simplify]: Simplify (- -1) into 1 7.742 * [backup-simplify]: Simplify (- -1) into 1 7.742 * [backup-simplify]: Simplify (exp 1) into E 7.742 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))))) in f 7.743 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in f 7.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))) in f 7.743 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in f 7.743 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 7.743 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.743 * [taylor]: Taking taylor expansion of f in f 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 1 into 1 7.743 * [backup-simplify]: Simplify (/ 1 1) into 1 7.743 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.743 * [taylor]: Taking taylor expansion of n in f 7.743 * [backup-simplify]: Simplify n into n 7.743 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.743 * [taylor]: Taking taylor expansion of f in f 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 1 into 1 7.744 * [backup-simplify]: Simplify (+ 1 0) into 1 7.744 * [backup-simplify]: Simplify (* 1 0) into 0 7.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.745 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.745 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.746 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 7.746 * [backup-simplify]: Simplify (/ 1 1) into 1 7.746 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in f 7.746 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 7.746 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.746 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.746 * [taylor]: Taking taylor expansion of f in f 7.746 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify 1 into 1 7.747 * [backup-simplify]: Simplify (/ 1 1) into 1 7.747 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.747 * [taylor]: Taking taylor expansion of n in f 7.747 * [backup-simplify]: Simplify n into n 7.747 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.747 * [taylor]: Taking taylor expansion of n in f 7.747 * [backup-simplify]: Simplify n into n 7.747 * [backup-simplify]: Simplify (+ 1 0) into 1 7.748 * [backup-simplify]: Simplify (* 1 n) into n 7.748 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.748 * [backup-simplify]: Simplify (+ 1 0) into 1 7.749 * [backup-simplify]: Simplify (- 1) into -1 7.749 * [backup-simplify]: Simplify (- 1) into -1 7.749 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.750 * [taylor]: Taking taylor expansion of (exp (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))))) in f 7.750 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n)))) in f 7.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) (/ 1 (* (- (/ 1 f) (/ 1 n)) n))) in f 7.750 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) f)) in f 7.750 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) f) in f 7.750 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.750 * [taylor]: Taking taylor expansion of f in f 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.750 * [backup-simplify]: Simplify (/ 1 1) into 1 7.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.750 * [taylor]: Taking taylor expansion of n in f 7.750 * [backup-simplify]: Simplify n into n 7.750 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.750 * [taylor]: Taking taylor expansion of f in f 7.750 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (+ 1 0) into 1 7.751 * [backup-simplify]: Simplify (* 1 0) into 0 7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.752 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.752 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.753 * [backup-simplify]: Simplify (+ (* 1 1) (* (- (/ 1 n)) 0)) into 1 7.753 * [backup-simplify]: Simplify (/ 1 1) into 1 7.753 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 f) (/ 1 n)) n)) in f 7.753 * [taylor]: Taking taylor expansion of (* (- (/ 1 f) (/ 1 n)) n) in f 7.753 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.753 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.753 * [taylor]: Taking taylor expansion of f in f 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (/ 1 1) into 1 7.754 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.754 * [taylor]: Taking taylor expansion of n in f 7.754 * [backup-simplify]: Simplify n into n 7.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.754 * [taylor]: Taking taylor expansion of n in f 7.754 * [backup-simplify]: Simplify n into n 7.754 * [backup-simplify]: Simplify (+ 1 0) into 1 7.755 * [backup-simplify]: Simplify (* 1 n) into n 7.755 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.755 * [backup-simplify]: Simplify (+ 1 0) into 1 7.755 * [backup-simplify]: Simplify (- 1) into -1 7.756 * [backup-simplify]: Simplify (- 1) into -1 7.756 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.756 * [taylor]: Taking taylor expansion of (exp -1) in n 7.756 * [taylor]: Taking taylor expansion of -1 in n 7.756 * [backup-simplify]: Simplify -1 into -1 7.757 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.757 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.758 * [backup-simplify]: Simplify (- 1) into -1 7.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.759 * [backup-simplify]: Simplify (- 0) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 1) (* 0 0))) into (- (/ 1 n)) 7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 7.761 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 7.761 * [backup-simplify]: Simplify (- (* 2 (/ 1 n))) into (- (* 2 (/ 1 n))) 7.761 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.761 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 7.761 * [taylor]: Taking taylor expansion of -2 in n 7.762 * [backup-simplify]: Simplify -2 into -2 7.762 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.762 * [taylor]: Taking taylor expansion of (exp -1) in n 7.762 * [taylor]: Taking taylor expansion of -1 in n 7.762 * [backup-simplify]: Simplify -1 into -1 7.762 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.762 * [taylor]: Taking taylor expansion of n in n 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.763 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.764 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.767 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify (- 1) into -1 7.768 * [backup-simplify]: Simplify (- (* 2 (/ 1 n))) into (- (* 2 (/ 1 n))) 7.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.769 * [backup-simplify]: Simplify (- 0) into 0 7.770 * [backup-simplify]: Simplify (+ 0 0) into 0 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 1) (* 0 0)))) into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.773 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 n)) n)) into (- 1) 7.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ (- 1) n)))) into (/ 1 (pow n 2)) 7.774 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 7.774 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.775 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.776 * [taylor]: Taking taylor expansion of 0 in n 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (- 1) into -1 7.782 * [backup-simplify]: Simplify (- (* 2 (/ 1 n))) into (- (* 2 (/ 1 n))) 7.783 * [backup-simplify]: Simplify (- (* 2 (/ 1 n))) into (- (* 2 (/ 1 n))) 7.783 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.784 * [backup-simplify]: Simplify (- 0) into 0 7.785 * [backup-simplify]: Simplify (+ 0 0) into 0 7.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 7.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.789 * [backup-simplify]: Simplify (- 0) into 0 7.789 * [backup-simplify]: Simplify (+ 0 0) into 0 7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (* 0 n))) into 0 7.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (/ 1 (pow n 2)) (/ (- 1) n)))) into (/ 1 (pow n 3)) 7.791 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 7.791 * [backup-simplify]: Simplify (- (* 2 (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.792 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.792 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.792 * [taylor]: Taking taylor expansion of 2/3 in n 7.793 * [backup-simplify]: Simplify 2/3 into 2/3 7.793 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.793 * [taylor]: Taking taylor expansion of (exp -1) in n 7.793 * [taylor]: Taking taylor expansion of -1 in n 7.793 * [backup-simplify]: Simplify -1 into -1 7.793 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.793 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.793 * [taylor]: Taking taylor expansion of n in n 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (* 1 1) into 1 7.794 * [backup-simplify]: Simplify (* 1 1) into 1 7.795 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.797 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.802 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.807 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.810 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.810 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.811 * [backup-simplify]: Simplify (exp (- (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (exp (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f)))))) 7.811 * [approximate]: Taking taylor expansion of (exp (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 7.812 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f)))))) in n 7.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in n 7.812 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in n 7.812 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in n 7.812 * [taylor]: Taking taylor expansion of n in n 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 1 into 1 7.812 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.812 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.812 * [taylor]: Taking taylor expansion of n in n 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 1 into 1 7.812 * [backup-simplify]: Simplify (/ 1 1) into 1 7.812 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.812 * [taylor]: Taking taylor expansion of f in n 7.812 * [backup-simplify]: Simplify f into f 7.812 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.813 * [backup-simplify]: Simplify (+ 1 0) into 1 7.813 * [backup-simplify]: Simplify (* 0 1) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.814 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.814 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.815 * [backup-simplify]: Simplify (+ (* 0 (- (/ 1 f))) (* 1 1)) into 1 7.815 * [backup-simplify]: Simplify (/ 1 1) into 1 7.815 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in n 7.815 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in n 7.815 * [taylor]: Taking taylor expansion of f in n 7.815 * [backup-simplify]: Simplify f into f 7.815 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.815 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.815 * [taylor]: Taking taylor expansion of n in n 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.816 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.816 * [taylor]: Taking taylor expansion of f in n 7.816 * [backup-simplify]: Simplify f into f 7.816 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.816 * [backup-simplify]: Simplify (+ 1 0) into 1 7.817 * [backup-simplify]: Simplify (* f 1) into f 7.817 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.821 * [backup-simplify]: Simplify (+ 1 0) into 1 7.822 * [backup-simplify]: Simplify (exp 1) into E 7.822 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f)))))) in f 7.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in f 7.822 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 7.822 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 7.822 * [taylor]: Taking taylor expansion of n in f 7.822 * [backup-simplify]: Simplify n into n 7.822 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.822 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.822 * [taylor]: Taking taylor expansion of n in f 7.822 * [backup-simplify]: Simplify n into n 7.822 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.822 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.822 * [taylor]: Taking taylor expansion of f in f 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (/ 1 1) into 1 7.823 * [backup-simplify]: Simplify (- 1) into -1 7.824 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.824 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 7.824 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 7.824 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in f 7.824 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in f 7.824 * [taylor]: Taking taylor expansion of f in f 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.824 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.824 * [taylor]: Taking taylor expansion of n in f 7.824 * [backup-simplify]: Simplify n into n 7.824 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.824 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.824 * [taylor]: Taking taylor expansion of f in f 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (/ 1 1) into 1 7.825 * [backup-simplify]: Simplify (- 1) into -1 7.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.826 * [backup-simplify]: Simplify (* 0 -1) into 0 7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.827 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.827 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* 1 -1)) into (- 1) 7.828 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 7.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.829 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.829 * [taylor]: Taking taylor expansion of (exp (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f)))))) in f 7.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (* n (- (/ 1 n) (/ 1 f)))) (/ 1 (* f (- (/ 1 n) (/ 1 f))))) in f 7.829 * [taylor]: Taking taylor expansion of (/ 1 (* n (- (/ 1 n) (/ 1 f)))) in f 7.829 * [taylor]: Taking taylor expansion of (* n (- (/ 1 n) (/ 1 f))) in f 7.829 * [taylor]: Taking taylor expansion of n in f 7.829 * [backup-simplify]: Simplify n into n 7.829 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.829 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.829 * [taylor]: Taking taylor expansion of n in f 7.829 * [backup-simplify]: Simplify n into n 7.829 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.829 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.829 * [taylor]: Taking taylor expansion of f in f 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [backup-simplify]: Simplify (/ 1 1) into 1 7.830 * [backup-simplify]: Simplify (- 1) into -1 7.830 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.830 * [backup-simplify]: Simplify (* n -1) into (* -1 n) 7.830 * [backup-simplify]: Simplify (/ 1 (* -1 n)) into (/ -1 n) 7.830 * [taylor]: Taking taylor expansion of (/ 1 (* f (- (/ 1 n) (/ 1 f)))) in f 7.830 * [taylor]: Taking taylor expansion of (* f (- (/ 1 n) (/ 1 f))) in f 7.831 * [taylor]: Taking taylor expansion of f in f 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.831 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.831 * [taylor]: Taking taylor expansion of n in f 7.831 * [backup-simplify]: Simplify n into n 7.831 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.831 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.831 * [taylor]: Taking taylor expansion of f in f 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 1 into 1 7.831 * [backup-simplify]: Simplify (/ 1 1) into 1 7.832 * [backup-simplify]: Simplify (- 1) into -1 7.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.832 * [backup-simplify]: Simplify (* 0 -1) into 0 7.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.834 * [backup-simplify]: Simplify (- 0) into 0 7.834 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.834 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* 1 -1)) into (- 1) 7.835 * [backup-simplify]: Simplify (/ 1 (- 1)) into -1 7.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.836 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.836 * [taylor]: Taking taylor expansion of (exp -1) in n 7.836 * [taylor]: Taking taylor expansion of -1 in n 7.836 * [backup-simplify]: Simplify -1 into -1 7.836 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.837 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.838 * [backup-simplify]: Simplify (- 0) into 0 7.839 * [backup-simplify]: Simplify (+ 0 0) into 0 7.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 n)) (* 0 -1))) into (/ 1 n) 7.840 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) (- 1))))) into (- (/ 1 n)) 7.840 * [backup-simplify]: Simplify (+ (/ -1 n) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 7.841 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.841 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 7.841 * [taylor]: Taking taylor expansion of -2 in n 7.841 * [backup-simplify]: Simplify -2 into -2 7.841 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.841 * [taylor]: Taking taylor expansion of (exp -1) in n 7.841 * [taylor]: Taking taylor expansion of -1 in n 7.841 * [backup-simplify]: Simplify -1 into -1 7.842 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.842 * [taylor]: Taking taylor expansion of n in n 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.844 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 7.846 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.847 * [backup-simplify]: Simplify 0 into 0 7.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (- 0) into 0 7.848 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.849 * [backup-simplify]: Simplify (+ (* n (/ 1 n)) (* 0 -1)) into 1 7.849 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (* -1 n))))) into (- (/ 1 (pow n 2))) 7.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (- 0) into 0 7.851 * [backup-simplify]: Simplify (+ 0 0) into 0 7.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 7.855 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 2))) 7.855 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 7.856 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.856 * [taylor]: Taking taylor expansion of 0 in n 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.859 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.861 * [backup-simplify]: Simplify (- 0) into 0 7.861 * [backup-simplify]: Simplify (+ 0 0) into 0 7.862 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 (/ 1 n)) (* 0 -1))) into 0 7.862 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (* -1 n))) (* (- (/ 1 (pow n 2))) (/ 1 (* -1 n))))) into (- (/ 1 (pow n 3))) 7.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.863 * [backup-simplify]: Simplify (- 0) into 0 7.863 * [backup-simplify]: Simplify (+ 0 0) into 0 7.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 -1))))) into 0 7.865 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 (- 1))) (* (- (/ 1 n)) (/ 0 (- 1))) (* (- (/ 1 (pow n 2))) (/ (/ 1 n) (- 1))))) into (- (/ 1 (pow n 3))) 7.865 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 7.866 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.866 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.866 * [taylor]: Taking taylor expansion of 2/3 in n 7.866 * [backup-simplify]: Simplify 2/3 into 2/3 7.866 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.866 * [taylor]: Taking taylor expansion of (exp -1) in n 7.866 * [taylor]: Taking taylor expansion of -1 in n 7.866 * [backup-simplify]: Simplify -1 into -1 7.867 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.867 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.867 * [taylor]: Taking taylor expansion of n in n 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify (* 1 1) into 1 7.867 * [backup-simplify]: Simplify (* 1 1) into 1 7.868 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.869 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.874 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.877 * * * [progress]: simplifying candidates 7.879 * [simplify]: Simplifying: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (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) (* (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) (- (pow f 3) (pow n 3))) (/ (+ f n) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (expm1 (log (exp (- (/ (+ f n) (- f n)))))) (log1p (log (exp (- (/ (+ f n) (- f n)))))) (log (* (cbrt (exp (- (/ (+ f n) (- f n))))) (cbrt (exp (- (/ (+ f n) (- f n))))))) (log (cbrt (exp (- 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(exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (log (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1))) (log (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ (sqrt (+ f n)) (sqrt (- f n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (log (exp (/ (sqrt (+ f n)) 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (log (exp (/ 1 (sqrt (- f n))))) (log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (+ f n))) (log (exp (/ (+ f n) (- (pow f 3) (pow n 3))))) (log (exp (/ (+ f n) (- (* f f) (* n n))))) (log (log (exp (- (/ (+ f n) (- f n)))))) (exp (log (exp (- (/ (+ f n) (- f n)))))) (* (cbrt (log (exp (- (/ (+ f n) (- f n)))))) (cbrt (log (exp (- (/ (+ f n) (- f n))))))) (cbrt (log (exp (- (/ 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(+ f n)) (+ (sqrt f) (sqrt n))))) (exp (- (/ (sqrt (+ f n)) 1))) (exp (- (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (exp (- (/ 1 (sqrt (- f n))))) (exp (- (/ 1 1))) (exp (- (/ 1 (+ (sqrt f) (sqrt n))))) (exp (- (/ 1 1))) (exp (- (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))))) (exp (- (/ 1 (sqrt (- f n))))) (exp (- (/ 1 1))) (exp (- (/ 1 (+ (sqrt f) (sqrt n))))) (exp (- (/ 1 1))) (exp (- 1)) (exp (- (+ f n))) (exp (- (/ (+ f n) (- (pow f 3) (pow n 3))))) (exp (- (/ (+ f n) (- (* f f) (* n n))))) (exp (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n))))) (exp (sqrt (/ (+ f n) (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (+ f n)) (exp (/ (+ f n) (- (pow f 3) (pow n 3)))) (exp (/ (+ f n) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp 0) (exp (/ (+ f n) (- f n))) (log (exp (- (/ (+ f n) (- f n))))) (exp (exp (- (/ (+ f n) (- f n))))) (* (cbrt (exp (- (/ (+ f n) (- f n))))) (cbrt (exp (- (/ (+ f n) (- f n)))))) (cbrt (exp (- (/ (+ f n) (- f n))))) (* (* (exp (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n))))) (exp (- (/ (+ f n) (- f n))))) (sqrt (exp (- (/ (+ f n) (- f n))))) (sqrt (exp (- (/ (+ f n) (- f n))))) -1 1 1 1 -1 -1 E (exp -1) (exp -1) 7.882 * * [simplify]: Extracting # 0 : cost 0 7.882 * * [simplify]: Extracting # 1 : cost 0 7.883 * * [simplify]: Extracting # 2 : cost 0 7.883 * * [simplify]: Extracting # 3 : cost 0 7.883 * * [simplify]: Extracting # 4 : cost 0 7.883 * * [simplify]: Extracting # 5 : cost 0 7.884 * * [simplify]: Extracting # 6 : cost 0 7.884 * * [simplify]: Extracting # 7 : cost 0 7.884 * * [simplify]: Extracting # 8 : cost 0 7.884 * * [simplify]: iteration 0 : 205 enodes (cost 2177 ) 7.948 * * [simplify]: Extracting # 0 : cost 0 7.949 * * [simplify]: Extracting # 1 : cost 0 7.950 * * [simplify]: Extracting # 2 : cost 0 7.951 * * [simplify]: Extracting # 3 : cost 0 7.951 * * [simplify]: Extracting # 4 : cost 0 7.952 * * [simplify]: iteration 1 : 349 enodes (cost 1907 ) 8.077 * * [simplify]: Extracting # 0 : cost 0 8.079 * * [simplify]: Extracting # 1 : cost 0 8.081 * * [simplify]: Extracting # 2 : cost 0 8.083 * * [simplify]: Extracting # 3 : cost 0 8.084 * * [simplify]: Extracting # 4 : cost 0 8.086 * * [simplify]: iteration 2 : 741 enodes (cost 1837 ) 8.652 * * [simplify]: Extracting # 0 : cost 0 8.657 * * [simplify]: Extracting # 1 : cost 0 8.661 * * [simplify]: Extracting # 2 : cost 0 8.664 * * [simplify]: Extracting # 3 : cost 0 8.668 * * [simplify]: Extracting # 4 : cost 0 8.672 * * [simplify]: iteration 3 : 1832 enodes (cost 1804 ) 10.889 * * [simplify]: Extracting # 0 : cost 0 10.902 * * [simplify]: Extracting # 1 : cost 0 10.907 * * [simplify]: Extracting # 2 : cost 0 10.912 * * [simplify]: Extracting # 3 : cost 0 10.917 * * [simplify]: Extracting # 4 : cost 0 10.922 * * [simplify]: iteration done: 5001 enodes (cost 1804 ) 10.923 * [simplify]: Simplified to: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ 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) (* (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) (/ (* (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) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (sqrt (- f n))) (+ n f) (/ (+ f n) (+ (sqrt f) (sqrt n))) (+ n f) (/ (- 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)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) (expm1 (- (/ (+ f n) (- f n)))) (log1p (- (/ (+ f n) (- f n)))) (* 2 (log (cbrt (exp (- (/ (+ f n) (- f n))))))) (log (cbrt (exp (- (/ (+ f n) (- f n)))))) (log (sqrt (exp (- (/ (+ f n) (- f n)))))) (log (sqrt (exp (- (/ (+ f n) (- f n)))))) 0 (- (/ (+ f n) (- f n))) 0 (/ (+ f n) (- f n)) 0 (/ (+ f n) (- f n)) (/ (+ f n) (- f n)) (- (/ (+ f n) (- f n))) (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n))))) (sqrt (- (/ (+ f n) (- f n)))) 1 -1 (- (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n))))) (- (sqrt (/ (+ f n) (- f n)))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (- (/ (sqrt (+ f n)) (sqrt (- f n)))) (- (sqrt (+ f n))) (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (- (sqrt (+ f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 -1 (- (+ f n)) (- (/ (+ f n) (- (pow f 3) (pow n 3)))) (/ -1 (- f n)) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (sqrt (/ (+ f n) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (sqrt (- f n))) 1 (/ 1 (+ (sqrt f) (sqrt n))) 1 1 (+ n f) (/ (+ f n) (- (pow f 3) (pow n 3))) (/ 1 (- f n)) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (* (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)))) (expm1 (exp (- (/ (+ f n) (- f n))))) (log1p (exp (- (/ (+ f n) (- f n))))) (exp (* (cbrt (- (/ (+ f n) (- f n)))) (cbrt (- (/ (+ f n) (- f n)))))) (exp (sqrt (- (/ (+ f n) (- f n))))) E (exp -1) (exp (- (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))))) (exp (- (sqrt (/ (+ f n) (- f n))))) (exp (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))))) (exp (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))))) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))))) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (- (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))))) (exp (- (/ (sqrt (+ f n)) (sqrt (- f n))))) (exp (- (sqrt (+ f n)))) (exp (- (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))))) (exp (- (sqrt (+ f n)))) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp -1) (exp (- (+ f n))) (exp (- (/ (+ f n) (- (pow f 3) (pow n 3))))) (exp (/ -1 (- f n))) (exp (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n))))) (exp (sqrt (/ (+ f n) (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (+ f n)) (exp (/ (+ f n) (- (pow f 3) (pow n 3)))) (exp (/ 1 (- f n))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n))) (exp (exp (- (/ (+ f n) (- f n))))) (* (cbrt (exp (- (/ (+ f n) (- f n))))) (cbrt (exp (- (/ (+ f n) (- f n)))))) (cbrt (exp (- (/ (+ f n) (- f n))))) (pow (exp (- (/ (+ f n) (- f n)))) 3) (sqrt (exp (- (/ (+ f n) (- f n))))) (sqrt (exp (- (/ (+ f n) (- f n))))) -1 1 1 1 -1 -1 E (exp -1) (exp -1) 10.925 * * * [progress]: adding candidates to table 11.499 * * [progress]: iteration 4 / 4 11.499 * * * [progress]: picking best candidate 11.509 * * * * [pick]: Picked # 11.509 * * * [progress]: localizing error 11.543 * * * [progress]: generating rewritten candidates 11.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.697 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.741 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.852 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.973 * * * [progress]: generating series expansions 11.974 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 11.974 * [backup-simplify]: Simplify (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3))) into (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) 11.974 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in (f n) around 0 11.974 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in n 11.974 * [taylor]: Taking taylor expansion of -1 in n 11.974 * [backup-simplify]: Simplify -1 into -1 11.974 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in n 11.974 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in n 11.974 * [taylor]: Taking taylor expansion of (+ n f) in n 11.975 * [taylor]: Taking taylor expansion of n in n 11.975 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.975 * [taylor]: Taking taylor expansion of f in n 11.975 * [backup-simplify]: Simplify f into f 11.975 * [backup-simplify]: Simplify (+ 0 f) into f 11.975 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 11.975 * [taylor]: Taking taylor expansion of (- f n) in n 11.975 * [taylor]: Taking taylor expansion of f in n 11.975 * [backup-simplify]: Simplify f into f 11.975 * [taylor]: Taking taylor expansion of n in n 11.975 * [backup-simplify]: Simplify 0 into 0 11.975 * [backup-simplify]: Simplify 1 into 1 11.976 * [backup-simplify]: Simplify (- 0) into 0 11.976 * [backup-simplify]: Simplify (+ f 0) into f 11.976 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.976 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 11.976 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.976 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 11.976 * [backup-simplify]: Simplify (/ (pow f 3) (pow f 3)) into 1 11.976 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 11.976 * [taylor]: Taking taylor expansion of -1 in f 11.977 * [backup-simplify]: Simplify -1 into -1 11.977 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 11.977 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 11.977 * [taylor]: Taking taylor expansion of (+ n f) in f 11.977 * [taylor]: Taking taylor expansion of n in f 11.977 * [backup-simplify]: Simplify n into n 11.977 * [taylor]: Taking taylor expansion of f in f 11.977 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify 1 into 1 11.977 * [backup-simplify]: Simplify (+ n 0) into n 11.977 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 11.977 * [taylor]: Taking taylor expansion of (- f n) in f 11.977 * [taylor]: Taking taylor expansion of f in f 11.977 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify 1 into 1 11.977 * [taylor]: Taking taylor expansion of n in f 11.977 * [backup-simplify]: Simplify n into n 11.977 * [backup-simplify]: Simplify (- n) into (- n) 11.977 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.977 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.977 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 11.977 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.978 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 11.978 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 11.978 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 3) (pow (- f n) 3))) in f 11.978 * [taylor]: Taking taylor expansion of -1 in f 11.978 * [backup-simplify]: Simplify -1 into -1 11.978 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 3) (pow (- f n) 3)) in f 11.978 * [taylor]: Taking taylor expansion of (pow (+ n f) 3) in f 11.978 * [taylor]: Taking taylor expansion of (+ n f) in f 11.978 * [taylor]: Taking taylor expansion of n in f 11.978 * [backup-simplify]: Simplify n into n 11.978 * [taylor]: Taking taylor expansion of f in f 11.978 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify 1 into 1 11.978 * [backup-simplify]: Simplify (+ n 0) into n 11.978 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 11.978 * [taylor]: Taking taylor expansion of (- f n) in f 11.978 * [taylor]: Taking taylor expansion of f in f 11.978 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify 1 into 1 11.978 * [taylor]: Taking taylor expansion of n in f 11.978 * [backup-simplify]: Simplify n into n 11.978 * [backup-simplify]: Simplify (- n) into (- n) 11.979 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.979 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.979 * [backup-simplify]: Simplify (* n (pow n 2)) into (pow n 3) 11.979 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.979 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 11.979 * [backup-simplify]: Simplify (/ (pow n 3) (* -1 (pow n 3))) into -1 11.980 * [backup-simplify]: Simplify (* -1 -1) into 1 11.980 * [taylor]: Taking taylor expansion of 1 in n 11.980 * [backup-simplify]: Simplify 1 into 1 11.980 * [backup-simplify]: Simplify 1 into 1 11.981 * [backup-simplify]: Simplify (+ 0 1) into 1 11.981 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 11.981 * [backup-simplify]: Simplify (+ (* n (* 2 n)) (* 1 (pow n 2))) into (* 3 (pow n 2)) 11.981 * [backup-simplify]: Simplify (- 0) into 0 11.982 * [backup-simplify]: Simplify (+ 1 0) into 1 11.982 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 11.982 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 11.983 * [backup-simplify]: Simplify (- (/ (* 3 (pow n 2)) (* -1 (pow n 3))) (+ (* -1 (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 6 (/ 1 n))) 11.984 * [backup-simplify]: Simplify (+ (* -1 (- (* 6 (/ 1 n)))) (* 0 -1)) into (* 6 (/ 1 n)) 11.984 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 11.984 * [taylor]: Taking taylor expansion of 6 in n 11.984 * [backup-simplify]: Simplify 6 into 6 11.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.984 * [taylor]: Taking taylor expansion of n in n 11.984 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify 1 into 1 11.985 * [backup-simplify]: Simplify (/ 1 1) into 1 11.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.986 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 11.986 * [backup-simplify]: Simplify 0 into 0 11.986 * [backup-simplify]: Simplify 0 into 0 11.987 * [backup-simplify]: Simplify (+ 0 0) into 0 11.987 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 11.987 * [backup-simplify]: Simplify (+ (* n 1) (+ (* 1 (* 2 n)) (* 0 (pow n 2)))) into (* 3 n) 11.988 * [backup-simplify]: Simplify (- 0) into 0 11.988 * [backup-simplify]: Simplify (+ 0 0) into 0 11.989 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 11.989 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 11.990 * [backup-simplify]: Simplify (- (/ (* 3 n) (* -1 (pow n 3))) (+ (* -1 (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 18 (/ 1 (pow n 2)))) 11.990 * [backup-simplify]: Simplify (+ (* -1 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1))) into (* 18 (/ 1 (pow n 2))) 11.990 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 11.990 * [taylor]: Taking taylor expansion of 18 in n 11.990 * [backup-simplify]: Simplify 18 into 18 11.990 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.990 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.990 * [taylor]: Taking taylor expansion of n in n 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify 1 into 1 11.990 * [backup-simplify]: Simplify (* 1 1) into 1 11.991 * [backup-simplify]: Simplify (/ 1 1) into 1 11.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.993 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 11.993 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.994 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 11.995 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify (+ 0 0) into 0 11.995 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 11.996 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2))))) into 1 11.996 * [backup-simplify]: Simplify (- 0) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.997 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 11.997 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (+ (* 0 (- (* 2 n))) (* 0 (pow n 2))))) into 1 11.998 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* -1 (/ 1 (* -1 (pow n 3)))) (* (- (* 6 (/ 1 n))) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 38 (/ 1 (pow n 3)))) 11.999 * [backup-simplify]: Simplify (+ (* -1 (- (* 38 (/ 1 (pow n 3))))) (+ (* 0 (- (* 18 (/ 1 (pow n 2))))) (+ (* 0 (- (* 6 (/ 1 n)))) (* 0 -1)))) into (* 38 (/ 1 (pow n 3))) 11.999 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 11.999 * [taylor]: Taking taylor expansion of 38 in n 11.999 * [backup-simplify]: Simplify 38 into 38 11.999 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.999 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.999 * [taylor]: Taking taylor expansion of n in n 11.999 * [backup-simplify]: Simplify 0 into 0 11.999 * [backup-simplify]: Simplify 1 into 1 11.999 * [backup-simplify]: Simplify (* 1 1) into 1 11.999 * [backup-simplify]: Simplify (* 1 1) into 1 12.000 * [backup-simplify]: Simplify (/ 1 1) into 1 12.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.009 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.009 * [backup-simplify]: Simplify 0 into 0 12.009 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (* (* (- (+ (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) 12.009 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in (f n) around 0 12.009 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in n 12.009 * [taylor]: Taking taylor expansion of -1 in n 12.009 * [backup-simplify]: Simplify -1 into -1 12.009 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 12.009 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 12.009 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.009 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.009 * [taylor]: Taking taylor expansion of f in n 12.009 * [backup-simplify]: Simplify f into f 12.009 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.009 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.010 * [taylor]: Taking taylor expansion of n in n 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [backup-simplify]: Simplify (/ 1 1) into 1 12.010 * [backup-simplify]: Simplify (+ 0 1) into 1 12.010 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 12.010 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.010 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.010 * [taylor]: Taking taylor expansion of f in n 12.010 * [backup-simplify]: Simplify f into f 12.010 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.010 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.010 * [taylor]: Taking taylor expansion of n in n 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [backup-simplify]: Simplify (- 1) into -1 12.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.011 * [backup-simplify]: Simplify (* 1 1) into 1 12.011 * [backup-simplify]: Simplify (* 1 1) into 1 12.012 * [backup-simplify]: Simplify (* -1 -1) into 1 12.012 * [backup-simplify]: Simplify (* -1 1) into -1 12.012 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.012 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 12.012 * [taylor]: Taking taylor expansion of -1 in f 12.012 * [backup-simplify]: Simplify -1 into -1 12.012 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.012 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.012 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.012 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.012 * [taylor]: Taking taylor expansion of f in f 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ 1 1) into 1 12.013 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.013 * [taylor]: Taking taylor expansion of n in f 12.013 * [backup-simplify]: Simplify n into n 12.013 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.013 * [backup-simplify]: Simplify (+ 1 0) into 1 12.013 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.013 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.013 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.013 * [taylor]: Taking taylor expansion of f in f 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify 1 into 1 12.013 * [backup-simplify]: Simplify (/ 1 1) into 1 12.013 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.013 * [taylor]: Taking taylor expansion of n in f 12.013 * [backup-simplify]: Simplify n into n 12.013 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.014 * [backup-simplify]: Simplify (+ 1 0) into 1 12.014 * [backup-simplify]: Simplify (* 1 1) into 1 12.014 * [backup-simplify]: Simplify (* 1 1) into 1 12.014 * [backup-simplify]: Simplify (* 1 1) into 1 12.015 * [backup-simplify]: Simplify (* 1 1) into 1 12.015 * [backup-simplify]: Simplify (/ 1 1) into 1 12.015 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3))) in f 12.015 * [taylor]: Taking taylor expansion of -1 in f 12.015 * [backup-simplify]: Simplify -1 into -1 12.015 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.015 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.015 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.015 * [taylor]: Taking taylor expansion of f in f 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (/ 1 1) into 1 12.015 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.015 * [taylor]: Taking taylor expansion of n in f 12.015 * [backup-simplify]: Simplify n into n 12.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.016 * [backup-simplify]: Simplify (+ 1 0) into 1 12.016 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.016 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.016 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.016 * [taylor]: Taking taylor expansion of f in f 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (/ 1 1) into 1 12.016 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.016 * [taylor]: Taking taylor expansion of n in f 12.016 * [backup-simplify]: Simplify n into n 12.016 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.016 * [backup-simplify]: Simplify (+ 1 0) into 1 12.017 * [backup-simplify]: Simplify (* 1 1) into 1 12.017 * [backup-simplify]: Simplify (* 1 1) into 1 12.017 * [backup-simplify]: Simplify (* 1 1) into 1 12.017 * [backup-simplify]: Simplify (* 1 1) into 1 12.018 * [backup-simplify]: Simplify (/ 1 1) into 1 12.018 * [backup-simplify]: Simplify (* -1 1) into -1 12.018 * [taylor]: Taking taylor expansion of -1 in n 12.018 * [backup-simplify]: Simplify -1 into -1 12.018 * [backup-simplify]: Simplify -1 into -1 12.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.018 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.019 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.019 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.019 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.019 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.019 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.019 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 12.020 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 6 (/ 1 n)) 12.020 * [backup-simplify]: Simplify (+ (* -1 (* 6 (/ 1 n))) (* 0 1)) into (- (* 6 (/ 1 n))) 12.020 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 12.020 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 12.020 * [taylor]: Taking taylor expansion of 6 in n 12.020 * [backup-simplify]: Simplify 6 into 6 12.020 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.020 * [taylor]: Taking taylor expansion of n in n 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 1 into 1 12.020 * [backup-simplify]: Simplify (/ 1 1) into 1 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.021 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 12.021 * [backup-simplify]: Simplify (- 0) into 0 12.021 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.023 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.024 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.025 * [backup-simplify]: Simplify (- 0) into 0 12.025 * [backup-simplify]: Simplify (+ 0 0) into 0 12.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.026 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.026 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 6 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 18 (/ 1 (pow n 2))) 12.027 * [backup-simplify]: Simplify (+ (* -1 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1))) into (- (* 18 (/ 1 (pow n 2)))) 12.027 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 12.027 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 12.027 * [taylor]: Taking taylor expansion of 18 in n 12.027 * [backup-simplify]: Simplify 18 into 18 12.027 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.027 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.027 * [taylor]: Taking taylor expansion of n in n 12.027 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (* 1 1) into 1 12.028 * [backup-simplify]: Simplify (/ 1 1) into 1 12.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.031 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 12.031 * [backup-simplify]: Simplify (- 0) into 0 12.031 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.033 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 12.033 * [backup-simplify]: Simplify (- 0) into 0 12.033 * [backup-simplify]: Simplify 0 into 0 12.034 * [backup-simplify]: Simplify 0 into 0 12.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.035 * [backup-simplify]: Simplify (+ 0 0) into 0 12.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 12.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.039 * [backup-simplify]: Simplify (- 0) into 0 12.039 * [backup-simplify]: Simplify (+ 0 0) into 0 12.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 12.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (- (/ 1 (pow n 3))) 12.043 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) 1) (+ (* 1 (/ (- (/ 1 (pow n 3))) 1)) (* (* 6 (/ 1 n)) (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 18 (/ 1 (pow n 2))) (/ (- (* 3 (/ 1 n))) 1)))) into (* 38 (/ 1 (pow n 3))) 12.044 * [backup-simplify]: Simplify (+ (* -1 (* 38 (/ 1 (pow n 3)))) (+ (* 0 (* 18 (/ 1 (pow n 2)))) (+ (* 0 (* 6 (/ 1 n))) (* 0 1)))) into (- (* 38 (/ 1 (pow n 3)))) 12.044 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 12.044 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 12.045 * [taylor]: Taking taylor expansion of 38 in n 12.045 * [backup-simplify]: Simplify 38 into 38 12.045 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.045 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.045 * [taylor]: Taking taylor expansion of n in n 12.045 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify 1 into 1 12.045 * [backup-simplify]: Simplify (* 1 1) into 1 12.045 * [backup-simplify]: Simplify (* 1 1) into 1 12.046 * [backup-simplify]: Simplify (/ 1 1) into 1 12.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.055 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.055 * [backup-simplify]: Simplify (- 0) into 0 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify -1 into -1 12.056 * [backup-simplify]: Simplify (* (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- f)) (/ 1 (- n))) (pow (- (/ 1 (- f)) (/ 1 (- n))) 3))) into (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) 12.056 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in (f n) around 0 12.056 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 12.056 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in n 12.056 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.056 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.056 * [taylor]: Taking taylor expansion of f in n 12.056 * [backup-simplify]: Simplify f into f 12.056 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.056 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.056 * [taylor]: Taking taylor expansion of n in n 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.057 * [backup-simplify]: Simplify (/ 1 1) into 1 12.057 * [backup-simplify]: Simplify (+ 0 1) into 1 12.057 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 12.057 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.057 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.057 * [taylor]: Taking taylor expansion of n in n 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 1 into 1 12.058 * [backup-simplify]: Simplify (/ 1 1) into 1 12.058 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.058 * [taylor]: Taking taylor expansion of f in n 12.058 * [backup-simplify]: Simplify f into f 12.058 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.058 * [backup-simplify]: Simplify (+ 1 0) into 1 12.059 * [backup-simplify]: Simplify (* 1 1) into 1 12.059 * [backup-simplify]: Simplify (* 1 1) into 1 12.060 * [backup-simplify]: Simplify (* 1 1) into 1 12.060 * [backup-simplify]: Simplify (* 1 1) into 1 12.060 * [backup-simplify]: Simplify (/ 1 1) into 1 12.060 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.060 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.060 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.060 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.060 * [taylor]: Taking taylor expansion of f in f 12.060 * [backup-simplify]: Simplify 0 into 0 12.061 * [backup-simplify]: Simplify 1 into 1 12.061 * [backup-simplify]: Simplify (/ 1 1) into 1 12.061 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.061 * [taylor]: Taking taylor expansion of n in f 12.061 * [backup-simplify]: Simplify n into n 12.061 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.062 * [backup-simplify]: Simplify (+ 1 0) into 1 12.062 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.062 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.062 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.062 * [taylor]: Taking taylor expansion of n in f 12.062 * [backup-simplify]: Simplify n into n 12.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.062 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.062 * [taylor]: Taking taylor expansion of f in f 12.062 * [backup-simplify]: Simplify 0 into 0 12.062 * [backup-simplify]: Simplify 1 into 1 12.062 * [backup-simplify]: Simplify (/ 1 1) into 1 12.063 * [backup-simplify]: Simplify (- 1) into -1 12.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.063 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (* -1 -1) into 1 12.064 * [backup-simplify]: Simplify (* -1 1) into -1 12.065 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.065 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 3) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 3) in f 12.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.065 * [taylor]: Taking taylor expansion of f in f 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (/ 1 1) into 1 12.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.065 * [taylor]: Taking taylor expansion of n in f 12.065 * [backup-simplify]: Simplify n into n 12.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.066 * [backup-simplify]: Simplify (+ 1 0) into 1 12.066 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.066 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.066 * [taylor]: Taking taylor expansion of n in f 12.066 * [backup-simplify]: Simplify n into n 12.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.066 * [taylor]: Taking taylor expansion of f in f 12.066 * [backup-simplify]: Simplify 0 into 0 12.066 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ 1 1) into 1 12.067 * [backup-simplify]: Simplify (- 1) into -1 12.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.068 * [backup-simplify]: Simplify (* 1 1) into 1 12.068 * [backup-simplify]: Simplify (* 1 1) into 1 12.068 * [backup-simplify]: Simplify (* -1 -1) into 1 12.069 * [backup-simplify]: Simplify (* -1 1) into -1 12.069 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.069 * [taylor]: Taking taylor expansion of -1 in n 12.069 * [backup-simplify]: Simplify -1 into -1 12.069 * [backup-simplify]: Simplify -1 into -1 12.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.070 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.070 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.070 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.072 * [backup-simplify]: Simplify (- 0) into 0 12.072 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.072 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.072 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.072 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 n)) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 6 (/ 1 n))) 12.072 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 12.072 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 12.072 * [taylor]: Taking taylor expansion of 6 in n 12.072 * [backup-simplify]: Simplify 6 into 6 12.072 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.072 * [taylor]: Taking taylor expansion of n in n 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 1 into 1 12.073 * [backup-simplify]: Simplify (/ 1 1) into 1 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 12.075 * [backup-simplify]: Simplify (- 0) into 0 12.075 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.076 * [backup-simplify]: Simplify (+ 0 0) into 0 12.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.078 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (* 2 (/ 1 n))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.079 * [backup-simplify]: Simplify (- 0) into 0 12.080 * [backup-simplify]: Simplify (+ 0 0) into 0 12.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.081 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 12.082 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow n 2))) -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 6 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 18 (/ 1 (pow n 2)))) 12.082 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 12.082 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 12.082 * [taylor]: Taking taylor expansion of 18 in n 12.082 * [backup-simplify]: Simplify 18 into 18 12.082 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.082 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.082 * [taylor]: Taking taylor expansion of n in n 12.082 * [backup-simplify]: Simplify 0 into 0 12.082 * [backup-simplify]: Simplify 1 into 1 12.083 * [backup-simplify]: Simplify (* 1 1) into 1 12.083 * [backup-simplify]: Simplify (/ 1 1) into 1 12.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 12.087 * [backup-simplify]: Simplify (- 0) into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.089 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 12.090 * [backup-simplify]: Simplify (- 0) into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.091 * [backup-simplify]: Simplify (+ 0 0) into 0 12.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (/ 1 (pow n 3)) 12.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.095 * [backup-simplify]: Simplify (- 0) into 0 12.095 * [backup-simplify]: Simplify (+ 0 0) into 0 12.096 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 12.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 (pow n 2))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (/ 1 (pow n 3)) 12.098 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 3)) -1) (+ (* -1 (/ (/ 1 (pow n 3)) -1)) (* (- (* 6 (/ 1 n))) (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 18 (/ 1 (pow n 2)))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 38 (/ 1 (pow n 3)))) 12.098 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 12.098 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 12.098 * [taylor]: Taking taylor expansion of 38 in n 12.098 * [backup-simplify]: Simplify 38 into 38 12.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.098 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.098 * [taylor]: Taking taylor expansion of n in n 12.098 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify 1 into 1 12.098 * [backup-simplify]: Simplify (* 1 1) into 1 12.099 * [backup-simplify]: Simplify (* 1 1) into 1 12.099 * [backup-simplify]: Simplify (/ 1 1) into 1 12.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.104 * [backup-simplify]: Simplify (- 0) into 0 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify -1 into -1 12.104 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 12.104 * [backup-simplify]: Simplify (/ (+ f n) (pow (- f n) 3)) into (/ (+ n f) (pow (- f n) 3)) 12.104 * [approximate]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in (f n) around 0 12.104 * [taylor]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in n 12.104 * [taylor]: Taking taylor expansion of (+ n f) in n 12.104 * [taylor]: Taking taylor expansion of n in n 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify 1 into 1 12.104 * [taylor]: Taking taylor expansion of f in n 12.104 * [backup-simplify]: Simplify f into f 12.104 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in n 12.104 * [taylor]: Taking taylor expansion of (- f n) in n 12.104 * [taylor]: Taking taylor expansion of f in n 12.104 * [backup-simplify]: Simplify f into f 12.104 * [taylor]: Taking taylor expansion of n in n 12.104 * [backup-simplify]: Simplify 0 into 0 12.104 * [backup-simplify]: Simplify 1 into 1 12.105 * [backup-simplify]: Simplify (- 0) into 0 12.105 * [backup-simplify]: Simplify (+ f 0) into f 12.105 * [backup-simplify]: Simplify (+ 0 f) into f 12.105 * [backup-simplify]: Simplify (* f f) into (pow f 2) 12.105 * [backup-simplify]: Simplify (* f (pow f 2)) into (pow f 3) 12.105 * [backup-simplify]: Simplify (/ f (pow f 3)) into (/ 1 (pow f 2)) 12.105 * [taylor]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in f 12.105 * [taylor]: Taking taylor expansion of (+ n f) in f 12.105 * [taylor]: Taking taylor expansion of n in f 12.105 * [backup-simplify]: Simplify n into n 12.105 * [taylor]: Taking taylor expansion of f in f 12.105 * [backup-simplify]: Simplify 0 into 0 12.105 * [backup-simplify]: Simplify 1 into 1 12.105 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 12.105 * [taylor]: Taking taylor expansion of (- f n) in f 12.105 * [taylor]: Taking taylor expansion of f in f 12.105 * [backup-simplify]: Simplify 0 into 0 12.105 * [backup-simplify]: Simplify 1 into 1 12.105 * [taylor]: Taking taylor expansion of n in f 12.105 * [backup-simplify]: Simplify n into n 12.105 * [backup-simplify]: Simplify (- n) into (- n) 12.105 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.105 * [backup-simplify]: Simplify (+ n 0) into n 12.105 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.105 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 12.106 * [backup-simplify]: Simplify (/ n (* -1 (pow n 3))) into (/ -1 (pow n 2)) 12.106 * [taylor]: Taking taylor expansion of (/ (+ n f) (pow (- f n) 3)) in f 12.106 * [taylor]: Taking taylor expansion of (+ n f) in f 12.106 * [taylor]: Taking taylor expansion of n in f 12.106 * [backup-simplify]: Simplify n into n 12.106 * [taylor]: Taking taylor expansion of f in f 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 1 into 1 12.106 * [taylor]: Taking taylor expansion of (pow (- f n) 3) in f 12.106 * [taylor]: Taking taylor expansion of (- f n) in f 12.106 * [taylor]: Taking taylor expansion of f in f 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 1 into 1 12.106 * [taylor]: Taking taylor expansion of n in f 12.106 * [backup-simplify]: Simplify n into n 12.106 * [backup-simplify]: Simplify (- n) into (- n) 12.106 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.106 * [backup-simplify]: Simplify (+ n 0) into n 12.106 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 12.106 * [backup-simplify]: Simplify (* (- n) (pow n 2)) into (* -1 (pow n 3)) 12.106 * [backup-simplify]: Simplify (/ n (* -1 (pow n 3))) into (/ -1 (pow n 2)) 12.106 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 12.106 * [taylor]: Taking taylor expansion of -1 in n 12.106 * [backup-simplify]: Simplify -1 into -1 12.106 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.106 * [taylor]: Taking taylor expansion of n in n 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify 1 into 1 12.107 * [backup-simplify]: Simplify (* 1 1) into 1 12.107 * [backup-simplify]: Simplify (/ -1 1) into -1 12.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.109 * [backup-simplify]: Simplify 0 into 0 12.109 * [backup-simplify]: Simplify (+ 0 1) into 1 12.109 * [backup-simplify]: Simplify (- 0) into 0 12.110 * [backup-simplify]: Simplify (+ 1 0) into 1 12.110 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 12.110 * [backup-simplify]: Simplify (+ (* (- n) (- (* 2 n))) (* 1 (pow n 2))) into (* 3 (pow n 2)) 12.110 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow n 3))) (+ (* (/ -1 (pow n 2)) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 4 (/ 1 (pow n 3)))) 12.110 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow n 3)))) in n 12.110 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow n 3))) in n 12.110 * [taylor]: Taking taylor expansion of 4 in n 12.110 * [backup-simplify]: Simplify 4 into 4 12.110 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.110 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.110 * [taylor]: Taking taylor expansion of n in n 12.110 * [backup-simplify]: Simplify 0 into 0 12.111 * [backup-simplify]: Simplify 1 into 1 12.111 * [backup-simplify]: Simplify (* 1 1) into 1 12.111 * [backup-simplify]: Simplify (* 1 1) into 1 12.111 * [backup-simplify]: Simplify (/ 1 1) into 1 12.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.117 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.117 * [backup-simplify]: Simplify (- 0) into 0 12.117 * [backup-simplify]: Simplify 0 into 0 12.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify (+ 0 0) into 0 12.119 * [backup-simplify]: Simplify (- 0) into 0 12.119 * [backup-simplify]: Simplify (+ 0 0) into 0 12.119 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 12.119 * [backup-simplify]: Simplify (+ (* (- n) 1) (+ (* 1 (- (* 2 n))) (* 0 (pow n 2)))) into (- (* 3 n)) 12.120 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow n 3))) (+ (* (/ -1 (pow n 2)) (/ (- (* 3 n)) (* -1 (pow n 3)))) (* (- (* 4 (/ 1 (pow n 3)))) (/ (* 3 (pow n 2)) (* -1 (pow n 3)))))) into (- (* 9 (/ 1 (pow n 4)))) 12.120 * [taylor]: Taking taylor expansion of (- (* 9 (/ 1 (pow n 4)))) in n 12.120 * [taylor]: Taking taylor expansion of (* 9 (/ 1 (pow n 4))) in n 12.120 * [taylor]: Taking taylor expansion of 9 in n 12.120 * [backup-simplify]: Simplify 9 into 9 12.120 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 12.120 * [taylor]: Taking taylor expansion of (pow n 4) in n 12.120 * [taylor]: Taking taylor expansion of n in n 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify 1 into 1 12.120 * [backup-simplify]: Simplify (* 1 1) into 1 12.121 * [backup-simplify]: Simplify (* 1 1) into 1 12.121 * [backup-simplify]: Simplify (/ 1 1) into 1 12.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.130 * [backup-simplify]: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.130 * [backup-simplify]: Simplify (- 0) into 0 12.130 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.133 * [backup-simplify]: Simplify (- 0) into 0 12.133 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.134 * [backup-simplify]: Simplify 0 into 0 12.134 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) 12.135 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in (f n) around 0 12.135 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in n 12.135 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.135 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.135 * [taylor]: Taking taylor expansion of f in n 12.135 * [backup-simplify]: Simplify f into f 12.135 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.135 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.135 * [taylor]: Taking taylor expansion of n in n 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.135 * [backup-simplify]: Simplify (/ 1 1) into 1 12.135 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in n 12.135 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.135 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.135 * [taylor]: Taking taylor expansion of f in n 12.135 * [backup-simplify]: Simplify f into f 12.135 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.135 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.135 * [taylor]: Taking taylor expansion of n in n 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (/ 1 1) into 1 12.136 * [backup-simplify]: Simplify (- 1) into -1 12.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.136 * [backup-simplify]: Simplify (+ 0 1) into 1 12.137 * [backup-simplify]: Simplify (* -1 -1) into 1 12.137 * [backup-simplify]: Simplify (* -1 1) into -1 12.137 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.137 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.137 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.137 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.137 * [taylor]: Taking taylor expansion of f in f 12.137 * [backup-simplify]: Simplify 0 into 0 12.137 * [backup-simplify]: Simplify 1 into 1 12.137 * [backup-simplify]: Simplify (/ 1 1) into 1 12.137 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.137 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.138 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.138 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.138 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.138 * [taylor]: Taking taylor expansion of f in f 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [backup-simplify]: Simplify (/ 1 1) into 1 12.138 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.138 * [taylor]: Taking taylor expansion of n in f 12.138 * [backup-simplify]: Simplify n into n 12.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.138 * [backup-simplify]: Simplify (+ 1 0) into 1 12.139 * [backup-simplify]: Simplify (+ 1 0) into 1 12.139 * [backup-simplify]: Simplify (* 1 1) into 1 12.139 * [backup-simplify]: Simplify (* 1 1) into 1 12.139 * [backup-simplify]: Simplify (/ 1 1) into 1 12.139 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)) in f 12.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.139 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.139 * [taylor]: Taking taylor expansion of f in f 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (/ 1 1) into 1 12.140 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.140 * [taylor]: Taking taylor expansion of n in f 12.140 * [backup-simplify]: Simplify n into n 12.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.140 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 3) in f 12.140 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.140 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.140 * [taylor]: Taking taylor expansion of f in f 12.140 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (/ 1 1) into 1 12.140 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.140 * [taylor]: Taking taylor expansion of n in f 12.140 * [backup-simplify]: Simplify n into n 12.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.140 * [backup-simplify]: Simplify (+ 1 0) into 1 12.141 * [backup-simplify]: Simplify (+ 1 0) into 1 12.141 * [backup-simplify]: Simplify (* 1 1) into 1 12.141 * [backup-simplify]: Simplify (* 1 1) into 1 12.141 * [backup-simplify]: Simplify (/ 1 1) into 1 12.141 * [taylor]: Taking taylor expansion of 1 in n 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.142 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.142 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.143 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.143 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 12.143 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 n)))) (* (- (/ 1 n)) 1)) into (- (* 3 (/ 1 n))) 12.143 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (* 3 (/ 1 n))) 1)))) into (* 4 (/ 1 n)) 12.143 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.143 * [taylor]: Taking taylor expansion of 4 in n 12.143 * [backup-simplify]: Simplify 4 into 4 12.143 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.143 * [taylor]: Taking taylor expansion of n in n 12.143 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify 1 into 1 12.143 * [backup-simplify]: Simplify (/ 1 1) into 1 12.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.146 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.146 * [backup-simplify]: Simplify 0 into 0 12.146 * [backup-simplify]: Simplify 0 into 0 12.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.147 * [backup-simplify]: Simplify (+ 0 0) into 0 12.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.149 * [backup-simplify]: Simplify (- 0) into 0 12.149 * [backup-simplify]: Simplify (+ 0 0) into 0 12.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 12.151 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow n 2))) (+ (* (- (/ 1 n)) (- (* 2 (/ 1 n)))) (* 0 1))) into (* 3 (/ 1 (pow n 2))) 12.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (* 3 (/ 1 (pow n 2))) 1)) (* (* 4 (/ 1 n)) (/ (- (* 3 (/ 1 n))) 1)))) into (* 9 (/ 1 (pow n 2))) 12.152 * [taylor]: Taking taylor expansion of (* 9 (/ 1 (pow n 2))) in n 12.152 * [taylor]: Taking taylor expansion of 9 in n 12.152 * [backup-simplify]: Simplify 9 into 9 12.152 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.153 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.153 * [taylor]: Taking taylor expansion of n in n 12.153 * [backup-simplify]: Simplify 0 into 0 12.153 * [backup-simplify]: Simplify 1 into 1 12.153 * [backup-simplify]: Simplify (* 1 1) into 1 12.153 * [backup-simplify]: Simplify (/ 1 1) into 1 12.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.162 * [backup-simplify]: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.162 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.164 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify 0 into 0 12.165 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (pow (- (/ 1 (- f)) (/ 1 (- n))) 3)) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) 12.165 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in (f n) around 0 12.165 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in n 12.165 * [taylor]: Taking taylor expansion of -1 in n 12.165 * [backup-simplify]: Simplify -1 into -1 12.165 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3)) in n 12.165 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.165 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.165 * [taylor]: Taking taylor expansion of f in n 12.165 * [backup-simplify]: Simplify f into f 12.165 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.165 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.166 * [taylor]: Taking taylor expansion of n in n 12.166 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify 1 into 1 12.166 * [backup-simplify]: Simplify (/ 1 1) into 1 12.166 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in n 12.166 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.166 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.166 * [taylor]: Taking taylor expansion of n in n 12.166 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify 1 into 1 12.167 * [backup-simplify]: Simplify (/ 1 1) into 1 12.167 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.167 * [taylor]: Taking taylor expansion of f in n 12.167 * [backup-simplify]: Simplify f into f 12.167 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.167 * [backup-simplify]: Simplify (+ 1 0) into 1 12.168 * [backup-simplify]: Simplify (+ 0 1) into 1 12.168 * [backup-simplify]: Simplify (* 1 1) into 1 12.169 * [backup-simplify]: Simplify (* 1 1) into 1 12.169 * [backup-simplify]: Simplify (/ 1 1) into 1 12.169 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in f 12.169 * [taylor]: Taking taylor expansion of -1 in f 12.169 * [backup-simplify]: Simplify -1 into -1 12.169 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.169 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.169 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.169 * [taylor]: Taking taylor expansion of f in f 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 1 into 1 12.170 * [backup-simplify]: Simplify (/ 1 1) into 1 12.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.170 * [taylor]: Taking taylor expansion of n in f 12.170 * [backup-simplify]: Simplify n into n 12.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.170 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.170 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.170 * [taylor]: Taking taylor expansion of n in f 12.170 * [backup-simplify]: Simplify n into n 12.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.170 * [taylor]: Taking taylor expansion of f in f 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify 1 into 1 12.171 * [backup-simplify]: Simplify (/ 1 1) into 1 12.171 * [backup-simplify]: Simplify (- 1) into -1 12.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.172 * [backup-simplify]: Simplify (+ 1 0) into 1 12.172 * [backup-simplify]: Simplify (* -1 -1) into 1 12.173 * [backup-simplify]: Simplify (* -1 1) into -1 12.173 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.173 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3))) in f 12.173 * [taylor]: Taking taylor expansion of -1 in f 12.173 * [backup-simplify]: Simplify -1 into -1 12.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 n) (/ 1 f)) 3)) in f 12.174 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.174 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.174 * [taylor]: Taking taylor expansion of f in f 12.174 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify 1 into 1 12.174 * [backup-simplify]: Simplify (/ 1 1) into 1 12.174 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.174 * [taylor]: Taking taylor expansion of n in f 12.174 * [backup-simplify]: Simplify n into n 12.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.174 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 3) in f 12.174 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.174 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.174 * [taylor]: Taking taylor expansion of n in f 12.174 * [backup-simplify]: Simplify n into n 12.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.174 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.174 * [taylor]: Taking taylor expansion of f in f 12.174 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.175 * [backup-simplify]: Simplify (/ 1 1) into 1 12.175 * [backup-simplify]: Simplify (- 1) into -1 12.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.176 * [backup-simplify]: Simplify (+ 1 0) into 1 12.176 * [backup-simplify]: Simplify (* -1 -1) into 1 12.177 * [backup-simplify]: Simplify (* -1 1) into -1 12.177 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.178 * [backup-simplify]: Simplify (* -1 -1) into 1 12.178 * [taylor]: Taking taylor expansion of 1 in n 12.178 * [backup-simplify]: Simplify 1 into 1 12.178 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.179 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.180 * [backup-simplify]: Simplify (- 0) into 0 12.180 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.180 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 12.181 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (/ 1 n) 1)) into (* 3 (/ 1 n)) 12.181 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (* 3 (/ 1 n)) -1)))) into (- (* 4 (/ 1 n))) 12.181 * [backup-simplify]: Simplify (+ (* -1 (- (* 4 (/ 1 n)))) (* 0 -1)) into (* 4 (/ 1 n)) 12.181 * [taylor]: Taking taylor expansion of (* 4 (/ 1 n)) in n 12.181 * [taylor]: Taking taylor expansion of 4 in n 12.181 * [backup-simplify]: Simplify 4 into 4 12.182 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.182 * [taylor]: Taking taylor expansion of n in n 12.182 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify 1 into 1 12.182 * [backup-simplify]: Simplify (/ 1 1) into 1 12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.186 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.187 * [backup-simplify]: Simplify (+ 0 0) into 0 12.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.189 * [backup-simplify]: Simplify (- 0) into 0 12.190 * [backup-simplify]: Simplify (+ 0 0) into 0 12.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 12.192 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* (/ 1 n) (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 3 (/ 1 (pow n 2)))) 12.193 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- (* 3 (/ 1 (pow n 2)))) -1)) (* (- (* 4 (/ 1 n))) (/ (* 3 (/ 1 n)) -1)))) into (- (* 9 (/ 1 (pow n 2)))) 12.193 * [backup-simplify]: Simplify (+ (* -1 (- (* 9 (/ 1 (pow n 2))))) (+ (* 0 (- (* 4 (/ 1 n)))) (* 0 -1))) into (* 9 (/ 1 (pow n 2))) 12.193 * [taylor]: Taking taylor expansion of (* 9 (/ 1 (pow n 2))) in n 12.194 * [taylor]: Taking taylor expansion of 9 in n 12.194 * [backup-simplify]: Simplify 9 into 9 12.194 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.194 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.194 * [taylor]: Taking taylor expansion of n in n 12.194 * [backup-simplify]: Simplify 0 into 0 12.194 * [backup-simplify]: Simplify 1 into 1 12.194 * [backup-simplify]: Simplify (* 1 1) into 1 12.194 * [backup-simplify]: Simplify (/ 1 1) into 1 12.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.204 * [backup-simplify]: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.204 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.207 * [backup-simplify]: Simplify (cbrt (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) into (/ (* (cbrt -1) (+ n f)) (- f n)) 12.207 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 12.207 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 12.207 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 12.207 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.207 * [taylor]: Taking taylor expansion of -1 in n 12.207 * [backup-simplify]: Simplify -1 into -1 12.208 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.209 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.209 * [taylor]: Taking taylor expansion of (+ n f) in n 12.209 * [taylor]: Taking taylor expansion of n in n 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.209 * [taylor]: Taking taylor expansion of f in n 12.209 * [backup-simplify]: Simplify f into f 12.209 * [taylor]: Taking taylor expansion of (- f n) in n 12.209 * [taylor]: Taking taylor expansion of f in n 12.209 * [backup-simplify]: Simplify f into f 12.209 * [taylor]: Taking taylor expansion of n in n 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.209 * [backup-simplify]: Simplify (+ 0 f) into f 12.210 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 12.210 * [backup-simplify]: Simplify (- 0) into 0 12.210 * [backup-simplify]: Simplify (+ f 0) into f 12.211 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 12.211 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 12.211 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 12.211 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.211 * [taylor]: Taking taylor expansion of -1 in f 12.211 * [backup-simplify]: Simplify -1 into -1 12.211 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.212 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.212 * [taylor]: Taking taylor expansion of (+ n f) in f 12.212 * [taylor]: Taking taylor expansion of n in f 12.212 * [backup-simplify]: Simplify n into n 12.212 * [taylor]: Taking taylor expansion of f in f 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.212 * [taylor]: Taking taylor expansion of (- f n) in f 12.212 * [taylor]: Taking taylor expansion of f in f 12.212 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify 1 into 1 12.212 * [taylor]: Taking taylor expansion of n in f 12.212 * [backup-simplify]: Simplify n into n 12.212 * [backup-simplify]: Simplify (+ n 0) into n 12.213 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 12.213 * [backup-simplify]: Simplify (- n) into (- n) 12.213 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.214 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 12.214 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 12.214 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 12.214 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.214 * [taylor]: Taking taylor expansion of -1 in f 12.214 * [backup-simplify]: Simplify -1 into -1 12.214 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.215 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.215 * [taylor]: Taking taylor expansion of (+ n f) in f 12.215 * [taylor]: Taking taylor expansion of n in f 12.215 * [backup-simplify]: Simplify n into n 12.215 * [taylor]: Taking taylor expansion of f in f 12.215 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify 1 into 1 12.215 * [taylor]: Taking taylor expansion of (- f n) in f 12.215 * [taylor]: Taking taylor expansion of f in f 12.215 * [backup-simplify]: Simplify 0 into 0 12.215 * [backup-simplify]: Simplify 1 into 1 12.215 * [taylor]: Taking taylor expansion of n in f 12.215 * [backup-simplify]: Simplify n into n 12.215 * [backup-simplify]: Simplify (+ n 0) into n 12.216 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 12.216 * [backup-simplify]: Simplify (- n) into (- n) 12.216 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.217 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 12.217 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 12.217 * [taylor]: Taking taylor expansion of -1 in n 12.217 * [backup-simplify]: Simplify -1 into -1 12.217 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.217 * [taylor]: Taking taylor expansion of -1 in n 12.217 * [backup-simplify]: Simplify -1 into -1 12.217 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.218 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.219 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 12.220 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 12.220 * [backup-simplify]: Simplify (+ 0 1) into 1 12.221 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 12.222 * [backup-simplify]: Simplify (- 0) into 0 12.222 * [backup-simplify]: Simplify (+ 1 0) into 1 12.224 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 12.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 12.224 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 12.224 * [taylor]: Taking taylor expansion of 2 in n 12.224 * [backup-simplify]: Simplify 2 into 2 12.224 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 12.224 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.224 * [taylor]: Taking taylor expansion of -1 in n 12.224 * [backup-simplify]: Simplify -1 into -1 12.224 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.225 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.225 * [taylor]: Taking taylor expansion of n in n 12.225 * [backup-simplify]: Simplify 0 into 0 12.225 * [backup-simplify]: Simplify 1 into 1 12.226 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 12.229 * [backup-simplify]: Simplify (- 0) into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 12.229 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify (+ 0 0) into 0 12.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.231 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 12.231 * [backup-simplify]: Simplify (- 0) into 0 12.231 * [backup-simplify]: Simplify (+ 0 0) into 0 12.233 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 12.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 12.233 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 12.233 * [taylor]: Taking taylor expansion of 2 in n 12.233 * [backup-simplify]: Simplify 2 into 2 12.233 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 12.233 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.233 * [taylor]: Taking taylor expansion of -1 in n 12.233 * [backup-simplify]: Simplify -1 into -1 12.233 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.234 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.234 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.234 * [taylor]: Taking taylor expansion of n in n 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [backup-simplify]: Simplify (* 1 1) into 1 12.234 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.238 * [backup-simplify]: Simplify (- 0) into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.241 * [backup-simplify]: Simplify (- 0) into 0 12.241 * [backup-simplify]: Simplify 0 into 0 12.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify (+ 0 0) into 0 12.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.244 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 12.244 * [backup-simplify]: Simplify (- 0) into 0 12.244 * [backup-simplify]: Simplify (+ 0 0) into 0 12.246 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 12.246 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 12.246 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 12.246 * [taylor]: Taking taylor expansion of 2 in n 12.246 * [backup-simplify]: Simplify 2 into 2 12.246 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 12.246 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.246 * [taylor]: Taking taylor expansion of -1 in n 12.246 * [backup-simplify]: Simplify -1 into -1 12.250 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.250 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.250 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.251 * [taylor]: Taking taylor expansion of n in n 12.251 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify 1 into 1 12.251 * [backup-simplify]: Simplify (* 1 1) into 1 12.251 * [backup-simplify]: Simplify (* 1 1) into 1 12.252 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.261 * [backup-simplify]: Simplify (- 0) into 0 12.261 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 12.263 * [backup-simplify]: Simplify (cbrt (* (* (- (+ (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) (/ (+ (/ 1 f) (/ 1 n)) (pow (- (/ 1 f) (/ 1 n)) 3)))) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 12.263 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 12.263 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 12.263 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 12.263 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.263 * [taylor]: Taking taylor expansion of -1 in n 12.263 * [backup-simplify]: Simplify -1 into -1 12.264 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.264 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.265 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.265 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.265 * [taylor]: Taking taylor expansion of f in n 12.265 * [backup-simplify]: Simplify f into f 12.265 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.265 * [taylor]: Taking taylor expansion of n in n 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (/ 1 1) into 1 12.265 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.265 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.265 * [taylor]: Taking taylor expansion of f in n 12.265 * [backup-simplify]: Simplify f into f 12.265 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.266 * [taylor]: Taking taylor expansion of n in n 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify 1 into 1 12.266 * [backup-simplify]: Simplify (/ 1 1) into 1 12.267 * [backup-simplify]: Simplify (+ 0 1) into 1 12.268 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 12.268 * [backup-simplify]: Simplify (- 1) into -1 12.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.270 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 12.270 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 12.270 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 12.270 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.270 * [taylor]: Taking taylor expansion of -1 in f 12.270 * [backup-simplify]: Simplify -1 into -1 12.270 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.271 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.271 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.271 * [taylor]: Taking taylor expansion of f in f 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 1 into 1 12.272 * [backup-simplify]: Simplify (/ 1 1) into 1 12.272 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.272 * [taylor]: Taking taylor expansion of n in f 12.272 * [backup-simplify]: Simplify n into n 12.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.272 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.272 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.272 * [taylor]: Taking taylor expansion of f in f 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 1 into 1 12.272 * [backup-simplify]: Simplify (/ 1 1) into 1 12.272 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.273 * [taylor]: Taking taylor expansion of n in f 12.273 * [backup-simplify]: Simplify n into n 12.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.273 * [backup-simplify]: Simplify (+ 1 0) into 1 12.274 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 12.274 * [backup-simplify]: Simplify (+ 1 0) into 1 12.275 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.276 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 12.276 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 12.276 * [taylor]: Taking taylor expansion of (cbrt -1) in f 12.276 * [taylor]: Taking taylor expansion of -1 in f 12.276 * [backup-simplify]: Simplify -1 into -1 12.276 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.277 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.277 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.277 * [taylor]: Taking taylor expansion of f in f 12.277 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (/ 1 1) into 1 12.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.277 * [taylor]: Taking taylor expansion of n in f 12.278 * [backup-simplify]: Simplify n into n 12.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.278 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.278 * [taylor]: Taking taylor expansion of f in f 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 1 into 1 12.278 * [backup-simplify]: Simplify (/ 1 1) into 1 12.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.278 * [taylor]: Taking taylor expansion of n in f 12.278 * [backup-simplify]: Simplify n into n 12.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.279 * [backup-simplify]: Simplify (+ 1 0) into 1 12.280 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 12.280 * [backup-simplify]: Simplify (+ 1 0) into 1 12.281 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.281 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.282 * [taylor]: Taking taylor expansion of -1 in n 12.282 * [backup-simplify]: Simplify -1 into -1 12.282 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.283 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.283 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.284 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.285 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 12.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.286 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.286 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.288 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 12.288 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 12.288 * [taylor]: Taking taylor expansion of 2 in n 12.288 * [backup-simplify]: Simplify 2 into 2 12.288 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 12.288 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.288 * [taylor]: Taking taylor expansion of -1 in n 12.288 * [backup-simplify]: Simplify -1 into -1 12.288 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.289 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.289 * [taylor]: Taking taylor expansion of n in n 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.292 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.294 * [backup-simplify]: Simplify (+ 0 0) into 0 12.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.297 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.298 * [backup-simplify]: Simplify (- 0) into 0 12.298 * [backup-simplify]: Simplify (+ 0 0) into 0 12.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 12.301 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 12.301 * [taylor]: Taking taylor expansion of 2 in n 12.301 * [backup-simplify]: Simplify 2 into 2 12.301 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 12.301 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.301 * [taylor]: Taking taylor expansion of -1 in n 12.301 * [backup-simplify]: Simplify -1 into -1 12.301 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.302 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.302 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.302 * [taylor]: Taking taylor expansion of n in n 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.303 * [backup-simplify]: Simplify (* 1 1) into 1 12.304 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.311 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.314 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.316 * [backup-simplify]: Simplify (+ 0 0) into 0 12.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.317 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 12.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.318 * [backup-simplify]: Simplify (- 0) into 0 12.319 * [backup-simplify]: Simplify (+ 0 0) into 0 12.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 12.320 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 12.320 * [taylor]: Taking taylor expansion of 2 in n 12.320 * [backup-simplify]: Simplify 2 into 2 12.320 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 12.320 * [taylor]: Taking taylor expansion of (cbrt -1) in n 12.321 * [taylor]: Taking taylor expansion of -1 in n 12.321 * [backup-simplify]: Simplify -1 into -1 12.321 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.321 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.321 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.321 * [taylor]: Taking taylor expansion of n in n 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (* 1 1) into 1 12.322 * [backup-simplify]: Simplify (* 1 1) into 1 12.322 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 12.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.331 * [backup-simplify]: Simplify (cbrt (* (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (+ (/ 1 (- f)) (/ 1 (- n))) (pow (- (/ 1 (- f)) (/ 1 (- n))) 3)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 12.331 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 12.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 12.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.331 * [taylor]: Taking taylor expansion of f in n 12.331 * [backup-simplify]: Simplify f into f 12.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.331 * [taylor]: Taking taylor expansion of n in n 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (/ 1 1) into 1 12.331 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.331 * [taylor]: Taking taylor expansion of n in n 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (/ 1 1) into 1 12.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.331 * [taylor]: Taking taylor expansion of f in n 12.331 * [backup-simplify]: Simplify f into f 12.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.332 * [backup-simplify]: Simplify (+ 0 1) into 1 12.332 * [backup-simplify]: Simplify (+ 1 0) into 1 12.332 * [backup-simplify]: Simplify (/ 1 1) into 1 12.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.332 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.332 * [taylor]: Taking taylor expansion of f in f 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.333 * [backup-simplify]: Simplify (/ 1 1) into 1 12.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.333 * [taylor]: Taking taylor expansion of n in f 12.333 * [backup-simplify]: Simplify n into n 12.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.333 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.333 * [taylor]: Taking taylor expansion of n in f 12.333 * [backup-simplify]: Simplify n into n 12.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.333 * [taylor]: Taking taylor expansion of f in f 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 1 into 1 12.333 * [backup-simplify]: Simplify (/ 1 1) into 1 12.333 * [backup-simplify]: Simplify (+ 1 0) into 1 12.334 * [backup-simplify]: Simplify (- 1) into -1 12.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.334 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 12.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.334 * [taylor]: Taking taylor expansion of f in f 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.334 * [backup-simplify]: Simplify (/ 1 1) into 1 12.334 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.334 * [taylor]: Taking taylor expansion of n in f 12.335 * [backup-simplify]: Simplify n into n 12.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.335 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.335 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.335 * [taylor]: Taking taylor expansion of n in f 12.335 * [backup-simplify]: Simplify n into n 12.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.335 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.335 * [taylor]: Taking taylor expansion of f in f 12.335 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify 1 into 1 12.335 * [backup-simplify]: Simplify (/ 1 1) into 1 12.335 * [backup-simplify]: Simplify (+ 1 0) into 1 12.336 * [backup-simplify]: Simplify (- 1) into -1 12.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.336 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.336 * [taylor]: Taking taylor expansion of -1 in n 12.336 * [backup-simplify]: Simplify -1 into -1 12.336 * [backup-simplify]: Simplify -1 into -1 12.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (- 0) into 0 12.337 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.338 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 12.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.338 * [taylor]: Taking taylor expansion of 2 in n 12.338 * [backup-simplify]: Simplify 2 into 2 12.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.338 * [taylor]: Taking taylor expansion of n in n 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (/ 1 1) into 1 12.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.339 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.339 * [backup-simplify]: Simplify (- 0) into 0 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.340 * [backup-simplify]: Simplify (+ 0 0) into 0 12.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (- 0) into 0 12.341 * [backup-simplify]: Simplify (+ 0 0) into 0 12.342 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.342 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.342 * [taylor]: Taking taylor expansion of 2 in n 12.342 * [backup-simplify]: Simplify 2 into 2 12.342 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.342 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.342 * [taylor]: Taking taylor expansion of n in n 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [backup-simplify]: Simplify (* 1 1) into 1 12.343 * [backup-simplify]: Simplify (/ 1 1) into 1 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.346 * [backup-simplify]: Simplify (- 0) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.348 * [backup-simplify]: Simplify (- 0) into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.350 * [backup-simplify]: Simplify (+ 0 0) into 0 12.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.351 * [backup-simplify]: Simplify (- 0) into 0 12.352 * [backup-simplify]: Simplify (+ 0 0) into 0 12.354 * [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)))) 12.354 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.354 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.354 * [taylor]: Taking taylor expansion of 2 in n 12.354 * [backup-simplify]: Simplify 2 into 2 12.354 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.354 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.354 * [taylor]: Taking taylor expansion of n in n 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (* 1 1) into 1 12.355 * [backup-simplify]: Simplify (/ 1 1) into 1 12.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (- 0) into 0 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify -1 into -1 12.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.362 * [backup-simplify]: Simplify (* (- (+ f n)) (+ f n)) into (* -1 (pow (+ n f) 2)) 12.362 * [approximate]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in (f n) around 0 12.362 * [taylor]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in n 12.362 * [taylor]: Taking taylor expansion of -1 in n 12.362 * [backup-simplify]: Simplify -1 into -1 12.362 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 12.362 * [taylor]: Taking taylor expansion of (+ n f) in n 12.362 * [taylor]: Taking taylor expansion of n in n 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.362 * [taylor]: Taking taylor expansion of f in n 12.362 * [backup-simplify]: Simplify f into f 12.362 * [backup-simplify]: Simplify (+ 0 f) into f 12.362 * [taylor]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in f 12.362 * [taylor]: Taking taylor expansion of -1 in f 12.362 * [backup-simplify]: Simplify -1 into -1 12.362 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 12.362 * [taylor]: Taking taylor expansion of (+ n f) in f 12.362 * [taylor]: Taking taylor expansion of n in f 12.362 * [backup-simplify]: Simplify n into n 12.362 * [taylor]: Taking taylor expansion of f in f 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.362 * [backup-simplify]: Simplify (+ n 0) into n 12.362 * [taylor]: Taking taylor expansion of (* -1 (pow (+ n f) 2)) in f 12.362 * [taylor]: Taking taylor expansion of -1 in f 12.362 * [backup-simplify]: Simplify -1 into -1 12.362 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 12.362 * [taylor]: Taking taylor expansion of (+ n f) in f 12.362 * [taylor]: Taking taylor expansion of n in f 12.362 * [backup-simplify]: Simplify n into n 12.362 * [taylor]: Taking taylor expansion of f in f 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (+ n 0) into n 12.363 * [backup-simplify]: Simplify (* n n) into (pow n 2) 12.363 * [backup-simplify]: Simplify (* -1 (pow n 2)) into (* -1 (pow n 2)) 12.363 * [taylor]: Taking taylor expansion of (* -1 (pow n 2)) in n 12.363 * [taylor]: Taking taylor expansion of -1 in n 12.363 * [backup-simplify]: Simplify -1 into -1 12.363 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.363 * [taylor]: Taking taylor expansion of n in n 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (+ 0 1) into 1 12.363 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 12.363 * [backup-simplify]: Simplify (+ (* -1 (* 2 n)) (* 0 (pow n 2))) into (- (* 2 n)) 12.363 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 12.363 * [taylor]: Taking taylor expansion of (* 2 n) in n 12.363 * [taylor]: Taking taylor expansion of 2 in n 12.363 * [backup-simplify]: Simplify 2 into 2 12.363 * [taylor]: Taking taylor expansion of n in n 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify 1 into 1 12.364 * [backup-simplify]: Simplify (* 2 0) into 0 12.364 * [backup-simplify]: Simplify (- 0) into 0 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (+ 0 0) into 0 12.365 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 12.365 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 (* 2 n)) (* 0 (pow n 2)))) into (- 1) 12.365 * [taylor]: Taking taylor expansion of (- 1) in n 12.365 * [taylor]: Taking taylor expansion of 1 in n 12.365 * [backup-simplify]: Simplify 1 into 1 12.365 * [backup-simplify]: Simplify (- 1) into -1 12.365 * [backup-simplify]: Simplify -1 into -1 12.366 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 12.366 * [backup-simplify]: Simplify (- 2) into -2 12.366 * [backup-simplify]: Simplify -2 into -2 12.367 * [backup-simplify]: Simplify (* 1 1) into 1 12.367 * [backup-simplify]: Simplify (* -1 1) into -1 12.367 * [backup-simplify]: Simplify -1 into -1 12.367 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* -1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2)))) 12.368 * [backup-simplify]: Simplify (* (- (+ (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) 12.368 * [approximate]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 12.368 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in n 12.368 * [taylor]: Taking taylor expansion of -1 in n 12.368 * [backup-simplify]: Simplify -1 into -1 12.368 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.368 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.368 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.368 * [taylor]: Taking taylor expansion of f in n 12.368 * [backup-simplify]: Simplify f into f 12.368 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.368 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.368 * [taylor]: Taking taylor expansion of n in n 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.372 * [backup-simplify]: Simplify (/ 1 1) into 1 12.372 * [backup-simplify]: Simplify (+ 0 1) into 1 12.372 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.372 * [taylor]: Taking taylor expansion of -1 in f 12.372 * [backup-simplify]: Simplify -1 into -1 12.372 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.372 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.372 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.373 * [taylor]: Taking taylor expansion of f in f 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.373 * [backup-simplify]: Simplify (/ 1 1) into 1 12.373 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.373 * [taylor]: Taking taylor expansion of n in f 12.373 * [backup-simplify]: Simplify n into n 12.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.373 * [backup-simplify]: Simplify (+ 1 0) into 1 12.373 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.373 * [taylor]: Taking taylor expansion of -1 in f 12.373 * [backup-simplify]: Simplify -1 into -1 12.373 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.373 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.373 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.373 * [taylor]: Taking taylor expansion of f in f 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.374 * [backup-simplify]: Simplify (/ 1 1) into 1 12.374 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.374 * [taylor]: Taking taylor expansion of n in f 12.374 * [backup-simplify]: Simplify n into n 12.374 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.374 * [backup-simplify]: Simplify (+ 1 0) into 1 12.374 * [backup-simplify]: Simplify (* 1 1) into 1 12.375 * [backup-simplify]: Simplify (* -1 1) into -1 12.375 * [taylor]: Taking taylor expansion of -1 in n 12.375 * [backup-simplify]: Simplify -1 into -1 12.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.375 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.375 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.376 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.376 * [taylor]: Taking taylor expansion of 2 in n 12.376 * [backup-simplify]: Simplify 2 into 2 12.376 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.376 * [taylor]: Taking taylor expansion of n in n 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [backup-simplify]: Simplify (/ 1 1) into 1 12.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.378 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (/ 1 (pow n 2))) 12.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.378 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.378 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.378 * [taylor]: Taking taylor expansion of n in n 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (* 1 1) into 1 12.379 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [backup-simplify]: Simplify (- 1) into -1 12.379 * [backup-simplify]: Simplify -1 into -1 12.379 * [backup-simplify]: Simplify (* 2 1) into 2 12.379 * [backup-simplify]: Simplify (- 2) into -2 12.379 * [backup-simplify]: Simplify -2 into -2 12.379 * [backup-simplify]: Simplify -1 into -1 12.380 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (+ (* -2 (* (/ 1 (/ 1 n)) (/ 1 (/ 1 f)))) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2)))) into (- (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2)))) 12.380 * [backup-simplify]: Simplify (* (- (+ (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) 12.380 * [approximate]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 12.381 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in n 12.381 * [taylor]: Taking taylor expansion of -1 in n 12.381 * [backup-simplify]: Simplify -1 into -1 12.381 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 12.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.381 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.381 * [taylor]: Taking taylor expansion of f in n 12.381 * [backup-simplify]: Simplify f into f 12.381 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.381 * [taylor]: Taking taylor expansion of n in n 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (/ 1 1) into 1 12.381 * [backup-simplify]: Simplify (+ 0 1) into 1 12.381 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.381 * [taylor]: Taking taylor expansion of -1 in f 12.381 * [backup-simplify]: Simplify -1 into -1 12.381 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.381 * [taylor]: Taking taylor expansion of f in f 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (/ 1 1) into 1 12.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.382 * [taylor]: Taking taylor expansion of n in f 12.382 * [backup-simplify]: Simplify n into n 12.382 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.382 * [backup-simplify]: Simplify (+ 1 0) into 1 12.382 * [taylor]: Taking taylor expansion of (* -1 (pow (+ (/ 1 f) (/ 1 n)) 2)) in f 12.382 * [taylor]: Taking taylor expansion of -1 in f 12.382 * [backup-simplify]: Simplify -1 into -1 12.382 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 12.382 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.382 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.382 * [taylor]: Taking taylor expansion of f in f 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (/ 1 1) into 1 12.382 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.382 * [taylor]: Taking taylor expansion of n in f 12.382 * [backup-simplify]: Simplify n into n 12.383 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.383 * [backup-simplify]: Simplify (+ 1 0) into 1 12.383 * [backup-simplify]: Simplify (* 1 1) into 1 12.383 * [backup-simplify]: Simplify (* -1 1) into -1 12.383 * [taylor]: Taking taylor expansion of -1 in n 12.383 * [backup-simplify]: Simplify -1 into -1 12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.384 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 12.384 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 12.384 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.384 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.384 * [taylor]: Taking taylor expansion of 2 in n 12.384 * [backup-simplify]: Simplify 2 into 2 12.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.384 * [taylor]: Taking taylor expansion of n in n 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 1 into 1 12.385 * [backup-simplify]: Simplify (/ 1 1) into 1 12.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.386 * [backup-simplify]: Simplify (+ 0 0) into 0 12.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 12.387 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow n 2))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (/ 1 (pow n 2))) 12.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.387 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.387 * [taylor]: Taking taylor expansion of n in n 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (* 1 1) into 1 12.387 * [backup-simplify]: Simplify (/ 1 1) into 1 12.387 * [backup-simplify]: Simplify (- 1) into -1 12.388 * [backup-simplify]: Simplify -1 into -1 12.388 * [backup-simplify]: Simplify (* 2 1) into 2 12.388 * [backup-simplify]: Simplify (- 2) into -2 12.388 * [backup-simplify]: Simplify -2 into -2 12.388 * [backup-simplify]: Simplify -1 into -1 12.389 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (+ (* -2 (* (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- f))))) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2)))) into (- (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2)))) 12.389 * * * [progress]: simplifying candidates 12.394 * [simplify]: Simplifying: (expm1 (* (* (- (+ f n)) (+ f n)) (/ (+ f n) (pow (- f n) 3)))) (log1p (* (* 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[simplify]: Extracting # 0 : cost 0 12.538 * * [simplify]: Extracting # 1 : cost 0 12.539 * * [simplify]: Extracting # 2 : cost 0 12.540 * * [simplify]: Extracting # 3 : cost 0 12.541 * * [simplify]: Extracting # 4 : cost 0 12.542 * * [simplify]: Extracting # 5 : cost 0 12.544 * * [simplify]: iteration 1 : 862 enodes (cost 5200 ) 13.596 * * [simplify]: Extracting # 0 : cost 0 13.603 * * [simplify]: Extracting # 1 : cost 0 13.614 * * [simplify]: Extracting # 2 : cost 0 13.623 * * [simplify]: Extracting # 3 : cost 0 13.635 * * [simplify]: Extracting # 4 : cost 0 13.648 * * [simplify]: iteration 2 : 4962 enodes (cost 4656 ) 15.665 * * [simplify]: Extracting # 0 : cost 0 15.675 * * [simplify]: Extracting # 1 : cost 0 15.681 * * [simplify]: iteration done: 5000 enodes (cost 4656 ) 15.683 * [simplify]: Simplified to: (expm1 (/ (- (pow (+ f n) 3)) (pow (- f n) 3))) (log1p (/ (- (pow (+ f n) 3)) (pow (- f n) 3))) (/ (- (pow (+ f n) 3)) (pow (- f n) 3)) (/ (- (pow (+ f n) 3)) (pow (- f n) 3)) 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f n))) (* (sqrt (- (+ f n))) (sqrt (+ f n))) (* (+ f n) (+ f n)) (* f (- (+ f n))) (* n (- (+ f n))) (* f (- (+ f n))) (* n (- (+ f n))) (* (- (+ f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (- (+ f n)) (sqrt (+ 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)) (* (- (+ f n)) (cbrt (+ f n))) (* (- (+ f n)) (sqrt (+ f n))) (* (- (+ f n)) (+ f n)) (* (- (+ f n)) (+ f n)) (* (- (+ (pow f 3) (pow n 3))) (+ f n)) (* (- (+ f n)) (- (* f f) (* n n))) (* (- (+ (pow f 3) (pow n 3))) (+ f n)) (* (- (+ f n)) (- (* f f) (* n n))) 1 -1 -1 0 0 0 (- (cbrt -1)) (cbrt -1) -1 (- (fma f f (fma 2 (* n f) (* n n)))) (- (fma f f (fma 2 (* n f) (* n n)))) (- (fma f f (fma 2 (* n f) (* n n)))) 15.685 * * * [progress]: adding candidates to table 16.516 * [progress]: [Phase 3 of 3] Extracting. 16.517 * * [regime]: Finding splitpoints for: (# # # #) 16.520 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 16.520 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 16.538 * * * * [regimes]: Trying to branch on n from (# # # #) 16.567 * * * * [regimes]: Trying to branch on f from (# # # #) 16.608 * * * [regime]: Found split indices: #