1.800 * [progress]: [Phase 1 of 3] Setting up. 0.009 * * * [progress]: [1/2] Preparing points 0.214 * * * [progress]: [2/2] Setting up program. 0.223 * [progress]: [Phase 2 of 3] Improving. 0.226 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.228 * * [simplify]: iteration 0: 6 enodes 0.236 * * [simplify]: iteration 1: 13 enodes 0.240 * * [simplify]: iteration 2: 16 enodes 0.243 * * [simplify]: iteration 3: 20 enodes 0.246 * * [simplify]: iteration 4: 24 enodes 0.251 * * [simplify]: iteration 5: 29 enodes 0.260 * * [simplify]: iteration 6: 31 enodes 0.268 * * [simplify]: iteration complete: 31 enodes 0.269 * * [simplify]: Extracting #0: cost 1 inf + 0 0.269 * * [simplify]: Extracting #1: cost 9 inf + 0 0.269 * * [simplify]: Extracting #2: cost 14 inf + 0 0.270 * * [simplify]: Extracting #3: cost 10 inf + 85 0.270 * * [simplify]: Extracting #4: cost 1 inf + 942 0.270 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.271 * [simplify]: Simplified to: (/ (- (- n) f) (- f n)) 0.273 * * [progress]: iteration 1 / 4 0.273 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.279 * * * [progress]: localizing error 0.299 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.421 * * * [progress]: generating series expansions 0.421 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.427 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.427 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.428 * [taylor]: Taking taylor expansion of -1 in n 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.428 * [taylor]: Taking taylor expansion of (+ n f) in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of f in n 0.429 * [backup-simplify]: Simplify f into f 0.429 * [taylor]: Taking taylor expansion of (- f n) in n 0.429 * [taylor]: Taking taylor expansion of f in n 0.429 * [backup-simplify]: Simplify f into f 0.429 * [taylor]: Taking taylor expansion of n in n 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (+ 0 f) into f 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify (+ f 0) into f 0.430 * [backup-simplify]: Simplify (/ f f) into 1 0.430 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.430 * [taylor]: Taking taylor expansion of -1 in f 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.430 * [taylor]: Taking taylor expansion of (+ n f) in f 0.430 * [taylor]: Taking taylor expansion of n in f 0.430 * [backup-simplify]: Simplify n into n 0.430 * [taylor]: Taking taylor expansion of f in f 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of (- f n) in f 0.430 * [taylor]: Taking taylor expansion of f in f 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of n in f 0.430 * [backup-simplify]: Simplify n into n 0.430 * [backup-simplify]: Simplify (+ n 0) into n 0.430 * [backup-simplify]: Simplify (- n) into (- n) 0.430 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.430 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.430 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.430 * [taylor]: Taking taylor expansion of -1 in f 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.431 * [taylor]: Taking taylor expansion of (+ n f) in f 0.431 * [taylor]: Taking taylor expansion of n in f 0.431 * [backup-simplify]: Simplify n into n 0.431 * [taylor]: Taking taylor expansion of f in f 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [taylor]: Taking taylor expansion of (- f n) in f 0.431 * [taylor]: Taking taylor expansion of f in f 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [taylor]: Taking taylor expansion of n in f 0.431 * [backup-simplify]: Simplify n into n 0.431 * [backup-simplify]: Simplify (+ n 0) into n 0.431 * [backup-simplify]: Simplify (- n) into (- n) 0.431 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.431 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.432 * [backup-simplify]: Simplify (* -1 -1) into 1 0.432 * [taylor]: Taking taylor expansion of 1 in n 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ 0 1) into 1 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ 1 0) into 1 0.434 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.435 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.435 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.435 * [taylor]: Taking taylor expansion of 2 in n 0.435 * [backup-simplify]: Simplify 2 into 2 0.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.440 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.440 * [taylor]: Taking taylor expansion of 2 in n 0.440 * [backup-simplify]: Simplify 2 into 2 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.440 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [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)))) 0.452 * [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))) 0.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.453 * [taylor]: Taking taylor expansion of 2 in n 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.453 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.465 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.465 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.465 * [taylor]: Taking taylor expansion of -1 in n 0.465 * [backup-simplify]: Simplify -1 into -1 0.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.465 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.465 * [taylor]: Taking taylor expansion of f in n 0.465 * [backup-simplify]: Simplify f into f 0.465 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.465 * [taylor]: Taking taylor expansion of n in n 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.466 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.466 * [taylor]: Taking taylor expansion of f in n 0.466 * [backup-simplify]: Simplify f into f 0.466 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ 0 1) into 1 0.468 * [backup-simplify]: Simplify (- 1) into -1 0.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.469 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.469 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.469 * [taylor]: Taking taylor expansion of -1 in f 0.469 * [backup-simplify]: Simplify -1 into -1 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.469 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.469 * [taylor]: Taking taylor expansion of f in f 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.470 * [taylor]: Taking taylor expansion of n in f 0.470 * [backup-simplify]: Simplify n into n 0.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.470 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.470 * [taylor]: Taking taylor expansion of f in f 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 0.470 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.470 * [taylor]: Taking taylor expansion of n in f 0.470 * [backup-simplify]: Simplify n into n 0.470 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [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 0.483 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.483 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.483 * [taylor]: Taking taylor expansion of f in f 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.484 * [taylor]: Taking taylor expansion of n in f 0.484 * [backup-simplify]: Simplify n into n 0.484 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.484 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (* -1 1) into -1 0.485 * [taylor]: Taking taylor expansion of -1 in n 0.486 * [backup-simplify]: Simplify -1 into -1 0.486 * [backup-simplify]: Simplify -1 into -1 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.488 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.488 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.489 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.489 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.490 * [taylor]: Taking taylor expansion of 2 in n 0.490 * [backup-simplify]: Simplify 2 into 2 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.498 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.498 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.498 * [taylor]: Taking taylor expansion of 2 in n 0.498 * [backup-simplify]: Simplify 2 into 2 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.498 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.498 * [taylor]: Taking taylor expansion of n in n 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.510 * [backup-simplify]: Simplify (- 0) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [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))) 0.513 * [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)))) 0.513 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.513 * [taylor]: Taking taylor expansion of 2 in n 0.513 * [backup-simplify]: Simplify 2 into 2 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.513 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.513 * [taylor]: Taking taylor expansion of n in n 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 into -1 0.525 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.525 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.525 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.525 * [taylor]: Taking taylor expansion of f in n 0.525 * [backup-simplify]: Simplify f into f 0.525 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.525 * [taylor]: Taking taylor expansion of n in n 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.526 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.526 * [taylor]: Taking taylor expansion of n in n 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.527 * [taylor]: Taking taylor expansion of f in n 0.527 * [backup-simplify]: Simplify f into f 0.527 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.528 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.528 * [taylor]: Taking taylor expansion of f in f 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.529 * [taylor]: Taking taylor expansion of n in f 0.529 * [backup-simplify]: Simplify n into n 0.529 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.529 * [taylor]: Taking taylor expansion of n in f 0.529 * [backup-simplify]: Simplify n into n 0.529 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.529 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.529 * [taylor]: Taking taylor expansion of f in f 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.530 * [backup-simplify]: Simplify (- 1) into -1 0.531 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.531 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.531 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.531 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.531 * [taylor]: Taking taylor expansion of f in f 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.532 * [taylor]: Taking taylor expansion of n in f 0.532 * [backup-simplify]: Simplify n into n 0.532 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.532 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.532 * [taylor]: Taking taylor expansion of n in f 0.532 * [backup-simplify]: Simplify n into n 0.532 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.532 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.532 * [taylor]: Taking taylor expansion of f in f 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (- 1) into -1 0.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.535 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.535 * [taylor]: Taking taylor expansion of -1 in n 0.535 * [backup-simplify]: Simplify -1 into -1 0.535 * [backup-simplify]: Simplify -1 into -1 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.537 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.537 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.537 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.537 * [taylor]: Taking taylor expansion of 2 in n 0.537 * [backup-simplify]: Simplify 2 into 2 0.537 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.537 * [taylor]: Taking taylor expansion of n in n 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.545 * [taylor]: Taking taylor expansion of 2 in n 0.545 * [backup-simplify]: Simplify 2 into 2 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.545 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.560 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.560 * [taylor]: Taking taylor expansion of 2 in n 0.560 * [backup-simplify]: Simplify 2 into 2 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.560 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.560 * [taylor]: Taking taylor expansion of n in n 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify -1 into -1 0.572 * * * [progress]: simplifying candidates 0.575 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.579 * * [simplify]: iteration 0: 133 enodes 0.656 * * [simplify]: iteration 1: 311 enodes 0.782 * * [simplify]: iteration 2: 698 enodes 1.274 * * [simplify]: iteration 3: 2227 enodes 2.937 * * [simplify]: iteration complete: 5003 enodes 2.937 * * [simplify]: Extracting #0: cost 86 inf + 0 2.939 * * [simplify]: Extracting #1: cost 516 inf + 3 2.948 * * [simplify]: Extracting #2: cost 1083 inf + 13197 2.995 * * [simplify]: Extracting #3: cost 830 inf + 150598 3.093 * * [simplify]: Extracting #4: cost 328 inf + 266122 3.213 * * [simplify]: Extracting #5: cost 80 inf + 321635 3.334 * * [simplify]: Extracting #6: cost 51 inf + 331686 3.458 * * [simplify]: Extracting #7: cost 8 inf + 340849 3.573 * * [simplify]: Extracting #8: cost 0 inf + 342872 3.686 * [simplify]: Simplified to: (log (- (/ (+ f n) (- 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)) (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (/ (sqrt (- f n)) (cbrt (- (+ f n))))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (cbrt (- (+ f n))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ f 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 n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (- (+ 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 n) (sqrt f))) (/ (+ 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))) (sqrt (- f n))) (cbrt (+ 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 n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (+ 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 n) (sqrt f))) (/ (+ 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)) (/ (sqrt (- f n)) (cbrt (+ 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 n) (sqrt f))) (/ (- (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 n) (sqrt f))) (/ (- (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 n) (sqrt f))) (/ (- (+ 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 n) (sqrt f))) (/ (- (+ 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 n) (sqrt f))) (- (+ 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) (- (* f (* f f)) (* n (* n n))))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 3.693 * * * [progress]: adding candidates to table 4.178 * * [progress]: iteration 2 / 4 4.178 * * * [progress]: picking best candidate 4.213 * * * * [pick]: Picked # 4.213 * * * [progress]: localizing error 4.267 * * * [progress]: generating rewritten candidates 4.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.426 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.503 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.581 * * * [progress]: generating series expansions 4.581 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.582 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.582 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.582 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.582 * [taylor]: Taking taylor expansion of -1 in n 4.582 * [backup-simplify]: Simplify -1 into -1 4.582 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.582 * [taylor]: Taking taylor expansion of (+ n f) in n 4.582 * [taylor]: Taking taylor expansion of n in n 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [taylor]: Taking taylor expansion of f in n 4.582 * [backup-simplify]: Simplify f into f 4.582 * [taylor]: Taking taylor expansion of (- f n) in n 4.582 * [taylor]: Taking taylor expansion of f in n 4.582 * [backup-simplify]: Simplify f into f 4.582 * [taylor]: Taking taylor expansion of n in n 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (+ 0 f) into f 4.583 * [backup-simplify]: Simplify (- 0) into 0 4.583 * [backup-simplify]: Simplify (+ f 0) into f 4.583 * [backup-simplify]: Simplify (/ f f) into 1 4.583 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.583 * [taylor]: Taking taylor expansion of -1 in f 4.583 * [backup-simplify]: Simplify -1 into -1 4.583 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.583 * [taylor]: Taking taylor expansion of (+ n f) in f 4.583 * [taylor]: Taking taylor expansion of n in f 4.583 * [backup-simplify]: Simplify n into n 4.583 * [taylor]: Taking taylor expansion of f in f 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [taylor]: Taking taylor expansion of (- f n) in f 4.583 * [taylor]: Taking taylor expansion of f in f 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [taylor]: Taking taylor expansion of n in f 4.583 * [backup-simplify]: Simplify n into n 4.584 * [backup-simplify]: Simplify (+ n 0) into n 4.584 * [backup-simplify]: Simplify (- n) into (- n) 4.584 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.584 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.584 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.584 * [taylor]: Taking taylor expansion of -1 in f 4.584 * [backup-simplify]: Simplify -1 into -1 4.584 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.584 * [taylor]: Taking taylor expansion of (+ n f) in f 4.584 * [taylor]: Taking taylor expansion of n in f 4.584 * [backup-simplify]: Simplify n into n 4.584 * [taylor]: Taking taylor expansion of f in f 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [taylor]: Taking taylor expansion of (- f n) in f 4.584 * [taylor]: Taking taylor expansion of f in f 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [taylor]: Taking taylor expansion of n in f 4.584 * [backup-simplify]: Simplify n into n 4.584 * [backup-simplify]: Simplify (+ n 0) into n 4.584 * [backup-simplify]: Simplify (- n) into (- n) 4.584 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.584 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.585 * [backup-simplify]: Simplify (* -1 -1) into 1 4.585 * [taylor]: Taking taylor expansion of 1 in n 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (+ 0 1) into 1 4.586 * [backup-simplify]: Simplify (- 0) into 0 4.586 * [backup-simplify]: Simplify (+ 1 0) into 1 4.587 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.587 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.587 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.587 * [taylor]: Taking taylor expansion of 2 in n 4.587 * [backup-simplify]: Simplify 2 into 2 4.587 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.587 * [taylor]: Taking taylor expansion of n in n 4.587 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (/ 1 1) into 1 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (- 0) into 0 4.591 * [backup-simplify]: Simplify (+ 0 0) into 0 4.591 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.592 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.592 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.592 * [taylor]: Taking taylor expansion of 2 in n 4.592 * [backup-simplify]: Simplify 2 into 2 4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.592 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.592 * [taylor]: Taking taylor expansion of n in n 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (/ 1 1) into 1 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 1)))) into 0 4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.601 * [backup-simplify]: Simplify (- 0) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [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)))) 4.604 * [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))) 4.604 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.604 * [taylor]: Taking taylor expansion of 2 in n 4.605 * [backup-simplify]: Simplify 2 into 2 4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.605 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.605 * [taylor]: Taking taylor expansion of n in n 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.605 * [backup-simplify]: Simplify (* 1 1) into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.617 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.617 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.617 * [taylor]: Taking taylor expansion of -1 in n 4.617 * [backup-simplify]: Simplify -1 into -1 4.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.617 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.617 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.617 * [taylor]: Taking taylor expansion of f in n 4.617 * [backup-simplify]: Simplify f into f 4.617 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.617 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.617 * [taylor]: Taking taylor expansion of n in n 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.618 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.618 * [taylor]: Taking taylor expansion of f in n 4.618 * [backup-simplify]: Simplify f into f 4.618 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.618 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.618 * [taylor]: Taking taylor expansion of n in n 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (/ 1 1) into 1 4.619 * [backup-simplify]: Simplify (+ 0 1) into 1 4.620 * [backup-simplify]: Simplify (- 1) into -1 4.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.621 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.621 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.621 * [taylor]: Taking taylor expansion of -1 in f 4.621 * [backup-simplify]: Simplify -1 into -1 4.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.621 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.621 * [taylor]: Taking taylor expansion of f in f 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.622 * [taylor]: Taking taylor expansion of n in f 4.622 * [backup-simplify]: Simplify n into n 4.622 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.622 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.622 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.622 * [taylor]: Taking taylor expansion of f in f 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.623 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.623 * [taylor]: Taking taylor expansion of n in f 4.623 * [backup-simplify]: Simplify n into n 4.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.623 * [backup-simplify]: Simplify (+ 1 0) into 1 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.624 * [taylor]: Taking taylor expansion of -1 in f 4.625 * [backup-simplify]: Simplify -1 into -1 4.625 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.625 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.625 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.625 * [taylor]: Taking taylor expansion of f in f 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.625 * [taylor]: Taking taylor expansion of n in f 4.625 * [backup-simplify]: Simplify n into n 4.625 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.625 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.625 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.626 * [taylor]: Taking taylor expansion of f in f 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.626 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.626 * [taylor]: Taking taylor expansion of n in f 4.626 * [backup-simplify]: Simplify n into n 4.626 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.627 * [backup-simplify]: Simplify (+ 1 0) into 1 4.627 * [backup-simplify]: Simplify (+ 1 0) into 1 4.628 * [backup-simplify]: Simplify (/ 1 1) into 1 4.628 * [backup-simplify]: Simplify (* -1 1) into -1 4.628 * [taylor]: Taking taylor expansion of -1 in n 4.628 * [backup-simplify]: Simplify -1 into -1 4.628 * [backup-simplify]: Simplify -1 into -1 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.630 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.631 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.631 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.632 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.632 * [taylor]: Taking taylor expansion of 2 in n 4.632 * [backup-simplify]: Simplify 2 into 2 4.632 * [taylor]: Taking taylor expansion of (/ 1 n) 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 (- (+ (* 1 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.634 * [backup-simplify]: Simplify (- 0) into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.636 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.637 * [backup-simplify]: Simplify (- 0) into 0 4.637 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.640 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.640 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.640 * [taylor]: Taking taylor expansion of 2 in n 4.640 * [backup-simplify]: Simplify 2 into 2 4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.640 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.640 * [taylor]: Taking taylor expansion of n in n 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [backup-simplify]: Simplify (* 1 1) into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.646 * [backup-simplify]: Simplify (- 0) into 0 4.646 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.648 * [backup-simplify]: Simplify (- 0) into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.651 * [backup-simplify]: Simplify (- 0) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [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))) 4.655 * [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)))) 4.656 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.656 * [taylor]: Taking taylor expansion of 2 in n 4.656 * [backup-simplify]: Simplify 2 into 2 4.656 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.656 * [taylor]: Taking taylor expansion of (pow n 3) 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 4.657 * [backup-simplify]: Simplify (* 1 1) into 1 4.657 * [backup-simplify]: Simplify (/ 1 1) into 1 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (- 0) into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify -1 into -1 4.668 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.669 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.669 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.669 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.669 * [taylor]: Taking taylor expansion of f in n 4.669 * [backup-simplify]: Simplify f into f 4.669 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.669 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.669 * [taylor]: Taking taylor expansion of n in n 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.669 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.669 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.669 * [taylor]: Taking taylor expansion of n in n 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.670 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.670 * [taylor]: Taking taylor expansion of f in n 4.670 * [backup-simplify]: Simplify f into f 4.670 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.671 * [backup-simplify]: Simplify (+ 0 1) into 1 4.671 * [backup-simplify]: Simplify (+ 1 0) into 1 4.671 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.672 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.672 * [taylor]: Taking taylor expansion of f in f 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.672 * [taylor]: Taking taylor expansion of n in f 4.672 * [backup-simplify]: Simplify n into n 4.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.672 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.672 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.672 * [taylor]: Taking taylor expansion of n in f 4.672 * [backup-simplify]: Simplify n into n 4.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.672 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.672 * [taylor]: Taking taylor expansion of f in f 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [backup-simplify]: Simplify (+ 1 0) into 1 4.674 * [backup-simplify]: Simplify (- 1) into -1 4.674 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.675 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.675 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.675 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.675 * [taylor]: Taking taylor expansion of f in f 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.676 * [taylor]: Taking taylor expansion of n in f 4.676 * [backup-simplify]: Simplify n into n 4.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.676 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.676 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.676 * [taylor]: Taking taylor expansion of n in f 4.676 * [backup-simplify]: Simplify n into n 4.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.676 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.676 * [taylor]: Taking taylor expansion of f in f 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 4.677 * [backup-simplify]: Simplify (+ 1 0) into 1 4.677 * [backup-simplify]: Simplify (- 1) into -1 4.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.678 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.679 * [taylor]: Taking taylor expansion of -1 in n 4.679 * [backup-simplify]: Simplify -1 into -1 4.679 * [backup-simplify]: Simplify -1 into -1 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (- 0) into 0 4.697 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.698 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.698 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.698 * [taylor]: Taking taylor expansion of 2 in n 4.698 * [backup-simplify]: Simplify 2 into 2 4.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.698 * [taylor]: Taking taylor expansion of n in n 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (/ 1 1) into 1 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.701 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (- 0) into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.706 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.707 * [taylor]: Taking taylor expansion of 2 in n 4.707 * [backup-simplify]: Simplify 2 into 2 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.707 * [taylor]: Taking taylor expansion of n in n 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.717 * [backup-simplify]: Simplify (- 0) into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.736 * [backup-simplify]: Simplify (- 0) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [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)))) 4.738 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.738 * [taylor]: Taking taylor expansion of 2 in n 4.738 * [backup-simplify]: Simplify 2 into 2 4.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.738 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.738 * [taylor]: Taking taylor expansion of n in n 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify (* 1 1) into 1 4.754 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (- 0) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify -1 into -1 4.765 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.765 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.765 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.765 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.765 * [taylor]: Taking taylor expansion of -1 in n 4.765 * [backup-simplify]: Simplify -1 into -1 4.765 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.765 * [taylor]: Taking taylor expansion of (+ n f) in n 4.765 * [taylor]: Taking taylor expansion of n in n 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 1 into 1 4.765 * [taylor]: Taking taylor expansion of f in n 4.765 * [backup-simplify]: Simplify f into f 4.765 * [taylor]: Taking taylor expansion of (- f n) in n 4.765 * [taylor]: Taking taylor expansion of f in n 4.765 * [backup-simplify]: Simplify f into f 4.765 * [taylor]: Taking taylor expansion of n in n 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 1 into 1 4.765 * [backup-simplify]: Simplify (+ 0 f) into f 4.766 * [backup-simplify]: Simplify (- 0) into 0 4.766 * [backup-simplify]: Simplify (+ f 0) into f 4.766 * [backup-simplify]: Simplify (/ f f) into 1 4.766 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.766 * [taylor]: Taking taylor expansion of -1 in f 4.766 * [backup-simplify]: Simplify -1 into -1 4.766 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.766 * [taylor]: Taking taylor expansion of (+ n f) in f 4.766 * [taylor]: Taking taylor expansion of n in f 4.766 * [backup-simplify]: Simplify n into n 4.766 * [taylor]: Taking taylor expansion of f in f 4.766 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [taylor]: Taking taylor expansion of (- f n) in f 4.767 * [taylor]: Taking taylor expansion of f in f 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [taylor]: Taking taylor expansion of n in f 4.767 * [backup-simplify]: Simplify n into n 4.767 * [backup-simplify]: Simplify (+ n 0) into n 4.767 * [backup-simplify]: Simplify (- n) into (- n) 4.767 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.767 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.767 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.767 * [taylor]: Taking taylor expansion of -1 in f 4.767 * [backup-simplify]: Simplify -1 into -1 4.767 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.767 * [taylor]: Taking taylor expansion of (+ n f) in f 4.767 * [taylor]: Taking taylor expansion of n in f 4.767 * [backup-simplify]: Simplify n into n 4.767 * [taylor]: Taking taylor expansion of f in f 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of (- f n) in f 4.768 * [taylor]: Taking taylor expansion of f in f 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of n in f 4.768 * [backup-simplify]: Simplify n into n 4.768 * [backup-simplify]: Simplify (+ n 0) into n 4.768 * [backup-simplify]: Simplify (- n) into (- n) 4.768 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.768 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.769 * [backup-simplify]: Simplify (* -1 -1) into 1 4.769 * [taylor]: Taking taylor expansion of 1 in n 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (+ 0 1) into 1 4.770 * [backup-simplify]: Simplify (- 0) into 0 4.770 * [backup-simplify]: Simplify (+ 1 0) into 1 4.770 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.771 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.771 * [taylor]: Taking taylor expansion of 2 in n 4.771 * [backup-simplify]: Simplify 2 into 2 4.771 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.771 * [taylor]: Taking taylor expansion of n in n 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (- 0) into 0 4.774 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.775 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.775 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.775 * [taylor]: Taking taylor expansion of 2 in n 4.775 * [backup-simplify]: Simplify 2 into 2 4.775 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.775 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.775 * [taylor]: Taking taylor expansion of n in n 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (* 1 1) into 1 4.776 * [backup-simplify]: Simplify (/ 1 1) into 1 4.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.781 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.782 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [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)))) 4.785 * [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))) 4.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.785 * [taylor]: Taking taylor expansion of 2 in n 4.785 * [backup-simplify]: Simplify 2 into 2 4.785 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.785 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.785 * [taylor]: Taking taylor expansion of n in n 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [backup-simplify]: Simplify (* 1 1) into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.786 * [backup-simplify]: Simplify (/ 1 1) into 1 4.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.807 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify 1 into 1 4.808 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.808 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.808 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.808 * [taylor]: Taking taylor expansion of -1 in n 4.808 * [backup-simplify]: Simplify -1 into -1 4.808 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.808 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.808 * [taylor]: Taking taylor expansion of f in n 4.808 * [backup-simplify]: Simplify f into f 4.808 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.808 * [taylor]: Taking taylor expansion of n in n 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (/ 1 1) into 1 4.809 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.809 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.809 * [taylor]: Taking taylor expansion of f in n 4.809 * [backup-simplify]: Simplify f into f 4.809 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.809 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.809 * [taylor]: Taking taylor expansion of n in n 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (/ 1 1) into 1 4.810 * [backup-simplify]: Simplify (+ 0 1) into 1 4.810 * [backup-simplify]: Simplify (- 1) into -1 4.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.811 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.811 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.811 * [taylor]: Taking taylor expansion of -1 in f 4.811 * [backup-simplify]: Simplify -1 into -1 4.811 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.811 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.811 * [taylor]: Taking taylor expansion of f in f 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.812 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.812 * [taylor]: Taking taylor expansion of n in f 4.812 * [backup-simplify]: Simplify n into n 4.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.812 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.812 * [taylor]: Taking taylor expansion of f in f 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.813 * [backup-simplify]: Simplify (/ 1 1) into 1 4.813 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.813 * [taylor]: Taking taylor expansion of n in f 4.813 * [backup-simplify]: Simplify n into n 4.813 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.813 * [backup-simplify]: Simplify (+ 1 0) into 1 4.814 * [backup-simplify]: Simplify (+ 1 0) into 1 4.814 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.814 * [taylor]: Taking taylor expansion of -1 in f 4.814 * [backup-simplify]: Simplify -1 into -1 4.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.814 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.814 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.814 * [taylor]: Taking taylor expansion of f in f 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.815 * [taylor]: Taking taylor expansion of n in f 4.815 * [backup-simplify]: Simplify n into n 4.815 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.815 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.815 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.815 * [taylor]: Taking taylor expansion of f in f 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (/ 1 1) into 1 4.815 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.815 * [taylor]: Taking taylor expansion of n in f 4.815 * [backup-simplify]: Simplify n into n 4.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.816 * [backup-simplify]: Simplify (+ 1 0) into 1 4.816 * [backup-simplify]: Simplify (+ 1 0) into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.817 * [backup-simplify]: Simplify (* -1 1) into -1 4.817 * [taylor]: Taking taylor expansion of -1 in n 4.817 * [backup-simplify]: Simplify -1 into -1 4.817 * [backup-simplify]: Simplify -1 into -1 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.818 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.819 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.819 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.820 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.820 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.820 * [taylor]: Taking taylor expansion of 2 in n 4.820 * [backup-simplify]: Simplify 2 into 2 4.820 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.820 * [taylor]: Taking taylor expansion of n in n 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 1 into 1 4.821 * [backup-simplify]: Simplify (/ 1 1) into 1 4.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.822 * [backup-simplify]: Simplify (- 0) into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.824 * [backup-simplify]: Simplify (+ 0 0) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.826 * [backup-simplify]: Simplify (- 0) into 0 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.828 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.828 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.828 * [taylor]: Taking taylor expansion of 2 in n 4.828 * [backup-simplify]: Simplify 2 into 2 4.828 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.828 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.828 * [taylor]: Taking taylor expansion of n in n 4.828 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.834 * [backup-simplify]: Simplify (- 0) into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.837 * [backup-simplify]: Simplify (- 0) into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.839 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.840 * [backup-simplify]: Simplify (- 0) into 0 4.841 * [backup-simplify]: Simplify (+ 0 0) into 0 4.842 * [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))) 4.844 * [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)))) 4.844 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.844 * [taylor]: Taking taylor expansion of 2 in n 4.844 * [backup-simplify]: Simplify 2 into 2 4.844 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.844 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.844 * [taylor]: Taking taylor expansion of n in n 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.844 * [backup-simplify]: Simplify (* 1 1) into 1 4.845 * [backup-simplify]: Simplify (* 1 1) into 1 4.845 * [backup-simplify]: Simplify (/ 1 1) into 1 4.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (- 0) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify -1 into -1 4.855 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.855 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.855 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.855 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.855 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.855 * [taylor]: Taking taylor expansion of f in n 4.855 * [backup-simplify]: Simplify f into f 4.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.855 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.855 * [taylor]: Taking taylor expansion of n in n 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.856 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.856 * [taylor]: Taking taylor expansion of n in n 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.856 * [taylor]: Taking taylor expansion of f in n 4.856 * [backup-simplify]: Simplify f into f 4.856 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.857 * [backup-simplify]: Simplify (+ 0 1) into 1 4.857 * [backup-simplify]: Simplify (+ 1 0) into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.858 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.858 * [taylor]: Taking taylor expansion of f in f 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 1 into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.858 * [taylor]: Taking taylor expansion of n in f 4.858 * [backup-simplify]: Simplify n into n 4.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.859 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.859 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.859 * [taylor]: Taking taylor expansion of n in f 4.859 * [backup-simplify]: Simplify n into n 4.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.859 * [taylor]: Taking taylor expansion of f in f 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [backup-simplify]: Simplify (/ 1 1) into 1 4.860 * [backup-simplify]: Simplify (+ 1 0) into 1 4.860 * [backup-simplify]: Simplify (- 1) into -1 4.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.861 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.861 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.861 * [taylor]: Taking taylor expansion of f in f 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify (/ 1 1) into 1 4.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.862 * [taylor]: Taking taylor expansion of n in f 4.862 * [backup-simplify]: Simplify n into n 4.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.862 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.862 * [taylor]: Taking taylor expansion of n in f 4.862 * [backup-simplify]: Simplify n into n 4.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.862 * [taylor]: Taking taylor expansion of f in f 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.863 * [backup-simplify]: Simplify (/ 1 1) into 1 4.863 * [backup-simplify]: Simplify (+ 1 0) into 1 4.864 * [backup-simplify]: Simplify (- 1) into -1 4.864 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.864 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.865 * [taylor]: Taking taylor expansion of -1 in n 4.865 * [backup-simplify]: Simplify -1 into -1 4.865 * [backup-simplify]: Simplify -1 into -1 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (- 0) into 0 4.867 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.867 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.867 * [taylor]: Taking taylor expansion of 2 in n 4.867 * [backup-simplify]: Simplify 2 into 2 4.867 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.867 * [taylor]: Taking taylor expansion of n in n 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.870 * [backup-simplify]: Simplify (- 0) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.871 * [backup-simplify]: Simplify (+ 0 0) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (- 0) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.875 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.875 * [taylor]: Taking taylor expansion of 2 in n 4.875 * [backup-simplify]: Simplify 2 into 2 4.875 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.875 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.875 * [taylor]: Taking taylor expansion of n in n 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify (* 1 1) into 1 4.876 * [backup-simplify]: Simplify (/ 1 1) into 1 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.881 * [backup-simplify]: Simplify (- 0) into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.884 * [backup-simplify]: Simplify (- 0) into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (- 0) into 0 4.887 * [backup-simplify]: Simplify (+ 0 0) into 0 4.889 * [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)))) 4.889 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.889 * [taylor]: Taking taylor expansion of 2 in n 4.889 * [backup-simplify]: Simplify 2 into 2 4.889 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.889 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.889 * [taylor]: Taking taylor expansion of n in n 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (* 1 1) into 1 4.890 * [backup-simplify]: Simplify (* 1 1) into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (- 0) into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify -1 into -1 4.900 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.901 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.901 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.901 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.901 * [taylor]: Taking taylor expansion of -1 in n 4.901 * [backup-simplify]: Simplify -1 into -1 4.901 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.901 * [taylor]: Taking taylor expansion of (+ n f) in n 4.901 * [taylor]: Taking taylor expansion of n in n 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [taylor]: Taking taylor expansion of f in n 4.901 * [backup-simplify]: Simplify f into f 4.901 * [taylor]: Taking taylor expansion of (- f n) in n 4.901 * [taylor]: Taking taylor expansion of f in n 4.901 * [backup-simplify]: Simplify f into f 4.901 * [taylor]: Taking taylor expansion of n in n 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (+ 0 f) into f 4.902 * [backup-simplify]: Simplify (- 0) into 0 4.902 * [backup-simplify]: Simplify (+ f 0) into f 4.902 * [backup-simplify]: Simplify (/ f f) into 1 4.902 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.902 * [taylor]: Taking taylor expansion of -1 in f 4.902 * [backup-simplify]: Simplify -1 into -1 4.902 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.902 * [taylor]: Taking taylor expansion of (+ n f) in f 4.902 * [taylor]: Taking taylor expansion of n in f 4.902 * [backup-simplify]: Simplify n into n 4.902 * [taylor]: Taking taylor expansion of f in f 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [taylor]: Taking taylor expansion of (- f n) in f 4.902 * [taylor]: Taking taylor expansion of f in f 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [taylor]: Taking taylor expansion of n in f 4.902 * [backup-simplify]: Simplify n into n 4.902 * [backup-simplify]: Simplify (+ n 0) into n 4.902 * [backup-simplify]: Simplify (- n) into (- n) 4.902 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.902 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.902 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.902 * [taylor]: Taking taylor expansion of -1 in f 4.902 * [backup-simplify]: Simplify -1 into -1 4.903 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.903 * [taylor]: Taking taylor expansion of (+ n f) in f 4.903 * [taylor]: Taking taylor expansion of n in f 4.903 * [backup-simplify]: Simplify n into n 4.903 * [taylor]: Taking taylor expansion of f in f 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of (- f n) in f 4.903 * [taylor]: Taking taylor expansion of f in f 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of n in f 4.903 * [backup-simplify]: Simplify n into n 4.903 * [backup-simplify]: Simplify (+ n 0) into n 4.903 * [backup-simplify]: Simplify (- n) into (- n) 4.903 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.903 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.904 * [backup-simplify]: Simplify (* -1 -1) into 1 4.904 * [taylor]: Taking taylor expansion of 1 in n 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (+ 0 1) into 1 4.905 * [backup-simplify]: Simplify (- 0) into 0 4.905 * [backup-simplify]: Simplify (+ 1 0) into 1 4.905 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.906 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.906 * [taylor]: Taking taylor expansion of 2 in n 4.906 * [backup-simplify]: Simplify 2 into 2 4.906 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.906 * [taylor]: Taking taylor expansion of n in n 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ 0 0) into 0 4.909 * [backup-simplify]: Simplify (- 0) into 0 4.909 * [backup-simplify]: Simplify (+ 0 0) into 0 4.910 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.911 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.911 * [taylor]: Taking taylor expansion of 2 in n 4.911 * [backup-simplify]: Simplify 2 into 2 4.911 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.911 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.911 * [taylor]: Taking taylor expansion of n in n 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (* 1 1) into 1 4.912 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (- 0) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.920 * [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)))) 4.922 * [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))) 4.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.922 * [taylor]: Taking taylor expansion of 2 in n 4.922 * [backup-simplify]: Simplify 2 into 2 4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.922 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.922 * [taylor]: Taking taylor expansion of n in n 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.923 * [backup-simplify]: Simplify (* 1 1) into 1 4.923 * [backup-simplify]: Simplify (* 1 1) into 1 4.924 * [backup-simplify]: Simplify (/ 1 1) into 1 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.934 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.934 * [taylor]: Taking taylor expansion of -1 in n 4.934 * [backup-simplify]: Simplify -1 into -1 4.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.934 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.934 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.934 * [taylor]: Taking taylor expansion of f in n 4.934 * [backup-simplify]: Simplify f into f 4.934 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.934 * [taylor]: Taking taylor expansion of n in n 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.935 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.935 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.935 * [taylor]: Taking taylor expansion of f in n 4.935 * [backup-simplify]: Simplify f into f 4.935 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.935 * [taylor]: Taking taylor expansion of n in n 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [backup-simplify]: Simplify (+ 0 1) into 1 4.936 * [backup-simplify]: Simplify (- 1) into -1 4.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.937 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.937 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.937 * [taylor]: Taking taylor expansion of -1 in f 4.937 * [backup-simplify]: Simplify -1 into -1 4.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.937 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.937 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.937 * [taylor]: Taking taylor expansion of f in f 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.938 * [taylor]: Taking taylor expansion of n in f 4.938 * [backup-simplify]: Simplify n into n 4.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.938 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.938 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.938 * [taylor]: Taking taylor expansion of f in f 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.938 * [taylor]: Taking taylor expansion of n in f 4.938 * [backup-simplify]: Simplify n into n 4.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.939 * [backup-simplify]: Simplify (+ 1 0) into 1 4.939 * [backup-simplify]: Simplify (+ 1 0) into 1 4.940 * [backup-simplify]: Simplify (/ 1 1) into 1 4.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.940 * [taylor]: Taking taylor expansion of -1 in f 4.940 * [backup-simplify]: Simplify -1 into -1 4.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.940 * [taylor]: Taking taylor expansion of f in f 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (/ 1 1) into 1 4.940 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.940 * [taylor]: Taking taylor expansion of n in f 4.940 * [backup-simplify]: Simplify n into n 4.940 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.940 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.940 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.941 * [taylor]: Taking taylor expansion of f in f 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.941 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.941 * [taylor]: Taking taylor expansion of n in f 4.941 * [backup-simplify]: Simplify n into n 4.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.942 * [backup-simplify]: Simplify (+ 1 0) into 1 4.942 * [backup-simplify]: Simplify (+ 1 0) into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [backup-simplify]: Simplify (* -1 1) into -1 4.943 * [taylor]: Taking taylor expansion of -1 in n 4.943 * [backup-simplify]: Simplify -1 into -1 4.943 * [backup-simplify]: Simplify -1 into -1 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.945 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.945 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.946 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.946 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.946 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.946 * [taylor]: Taking taylor expansion of 2 in n 4.946 * [backup-simplify]: Simplify 2 into 2 4.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.946 * [taylor]: Taking taylor expansion of n in n 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.948 * [backup-simplify]: Simplify (- 0) into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.950 * [backup-simplify]: Simplify (+ 0 0) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.951 * [backup-simplify]: Simplify (- 0) into 0 4.952 * [backup-simplify]: Simplify (+ 0 0) into 0 4.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.954 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.954 * [taylor]: Taking taylor expansion of 2 in n 4.954 * [backup-simplify]: Simplify 2 into 2 4.954 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.954 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.954 * [taylor]: Taking taylor expansion of n in n 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (* 1 1) into 1 4.955 * [backup-simplify]: Simplify (/ 1 1) into 1 4.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.959 * [backup-simplify]: Simplify (- 0) into 0 4.959 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.970 * [backup-simplify]: Simplify (- 0) into 0 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.972 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.973 * [backup-simplify]: Simplify (- 0) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.975 * [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))) 4.976 * [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)))) 4.976 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.976 * [taylor]: Taking taylor expansion of 2 in n 4.976 * [backup-simplify]: Simplify 2 into 2 4.976 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.976 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.976 * [taylor]: Taking taylor expansion of n in n 4.976 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (* 1 1) into 1 4.977 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (- 0) into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify -1 into -1 4.987 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.987 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.988 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.988 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.988 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.988 * [taylor]: Taking taylor expansion of f in n 4.988 * [backup-simplify]: Simplify f into f 4.988 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.988 * [taylor]: Taking taylor expansion of n in n 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (/ 1 1) into 1 4.988 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.988 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.988 * [taylor]: Taking taylor expansion of n in n 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (/ 1 1) into 1 4.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.989 * [taylor]: Taking taylor expansion of f in n 4.989 * [backup-simplify]: Simplify f into f 4.989 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.989 * [backup-simplify]: Simplify (+ 0 1) into 1 4.990 * [backup-simplify]: Simplify (+ 1 0) into 1 4.990 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.990 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.990 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.990 * [taylor]: Taking taylor expansion of f in f 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.991 * [taylor]: Taking taylor expansion of n in f 4.991 * [backup-simplify]: Simplify n into n 4.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.991 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.991 * [taylor]: Taking taylor expansion of n in f 4.991 * [backup-simplify]: Simplify n into n 4.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.991 * [taylor]: Taking taylor expansion of f in f 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (/ 1 1) into 1 4.992 * [backup-simplify]: Simplify (+ 1 0) into 1 4.992 * [backup-simplify]: Simplify (- 1) into -1 4.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.993 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.993 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.993 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.993 * [taylor]: Taking taylor expansion of f in f 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.994 * [backup-simplify]: Simplify (/ 1 1) into 1 4.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.994 * [taylor]: Taking taylor expansion of n in f 4.994 * [backup-simplify]: Simplify n into n 4.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.994 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.994 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.994 * [taylor]: Taking taylor expansion of n in f 4.994 * [backup-simplify]: Simplify n into n 4.994 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.994 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.994 * [taylor]: Taking taylor expansion of f in f 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [backup-simplify]: Simplify (/ 1 1) into 1 4.995 * [backup-simplify]: Simplify (+ 1 0) into 1 4.995 * [backup-simplify]: Simplify (- 1) into -1 4.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.995 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.996 * [taylor]: Taking taylor expansion of -1 in n 4.996 * [backup-simplify]: Simplify -1 into -1 4.996 * [backup-simplify]: Simplify -1 into -1 4.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.996 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- 0) into 0 4.997 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.997 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.997 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.997 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.997 * [taylor]: Taking taylor expansion of 2 in n 4.997 * [backup-simplify]: Simplify 2 into 2 4.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.998 * [taylor]: Taking taylor expansion of n in n 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 1 into 1 4.998 * [backup-simplify]: Simplify (/ 1 1) into 1 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.000 * [backup-simplify]: Simplify (- 0) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.001 * [backup-simplify]: Simplify (+ 0 0) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (- 0) into 0 5.003 * [backup-simplify]: Simplify (+ 0 0) into 0 5.004 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.004 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.004 * [taylor]: Taking taylor expansion of 2 in n 5.004 * [backup-simplify]: Simplify 2 into 2 5.004 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.004 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.004 * [taylor]: Taking taylor expansion of n in n 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 1 into 1 5.005 * [backup-simplify]: Simplify (* 1 1) into 1 5.005 * [backup-simplify]: Simplify (/ 1 1) into 1 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.009 * [backup-simplify]: Simplify (- 0) into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.012 * [backup-simplify]: Simplify (- 0) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.015 * [backup-simplify]: Simplify (- 0) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.018 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.018 * [taylor]: Taking taylor expansion of 2 in n 5.018 * [backup-simplify]: Simplify 2 into 2 5.018 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.018 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.018 * [taylor]: Taking taylor expansion of n in n 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (* 1 1) into 1 5.019 * [backup-simplify]: Simplify (* 1 1) into 1 5.019 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (- 0) into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify -1 into -1 5.029 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.029 * [backup-simplify]: Simplify (cbrt (/ (- (+ f n)) (- f n))) into (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) 5.029 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in (f n) around 0 5.029 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in n 5.029 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.029 * [taylor]: Taking taylor expansion of -1 in n 5.029 * [backup-simplify]: Simplify -1 into -1 5.030 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.031 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.031 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in n 5.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in n 5.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in n 5.031 * [taylor]: Taking taylor expansion of 1/3 in n 5.031 * [backup-simplify]: Simplify 1/3 into 1/3 5.031 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in n 5.031 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.031 * [taylor]: Taking taylor expansion of (+ n f) in n 5.031 * [taylor]: Taking taylor expansion of n in n 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify 1 into 1 5.031 * [taylor]: Taking taylor expansion of f in n 5.031 * [backup-simplify]: Simplify f into f 5.031 * [taylor]: Taking taylor expansion of (- f n) in n 5.031 * [taylor]: Taking taylor expansion of f in n 5.031 * [backup-simplify]: Simplify f into f 5.031 * [taylor]: Taking taylor expansion of n in n 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify 1 into 1 5.031 * [backup-simplify]: Simplify (+ 0 f) into f 5.032 * [backup-simplify]: Simplify (- 0) into 0 5.032 * [backup-simplify]: Simplify (+ f 0) into f 5.032 * [backup-simplify]: Simplify (/ f f) into 1 5.032 * [backup-simplify]: Simplify (log 1) into 0 5.033 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.033 * [backup-simplify]: Simplify (+ 1 0) into 1 5.034 * [backup-simplify]: Simplify (- 1) into -1 5.034 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.034 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 5.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 5.036 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 5.036 * [backup-simplify]: Simplify (exp 0) into 1 5.036 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in f 5.036 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.036 * [taylor]: Taking taylor expansion of -1 in f 5.036 * [backup-simplify]: Simplify -1 into -1 5.036 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.037 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.037 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 5.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 5.037 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 5.037 * [taylor]: Taking taylor expansion of 1/3 in f 5.037 * [backup-simplify]: Simplify 1/3 into 1/3 5.037 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 5.037 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.037 * [taylor]: Taking taylor expansion of (+ n f) in f 5.037 * [taylor]: Taking taylor expansion of n in f 5.037 * [backup-simplify]: Simplify n into n 5.038 * [taylor]: Taking taylor expansion of f in f 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [taylor]: Taking taylor expansion of (- f n) in f 5.038 * [taylor]: Taking taylor expansion of f in f 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [taylor]: Taking taylor expansion of n in f 5.038 * [backup-simplify]: Simplify n into n 5.038 * [backup-simplify]: Simplify (+ n 0) into n 5.038 * [backup-simplify]: Simplify (- n) into (- n) 5.038 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.038 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.038 * [backup-simplify]: Simplify (log -1) into (log -1) 5.039 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.041 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.041 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ n f) (- f n)) 1/3)) in f 5.041 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.041 * [taylor]: Taking taylor expansion of -1 in f 5.041 * [backup-simplify]: Simplify -1 into -1 5.041 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.042 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.042 * [taylor]: Taking taylor expansion of (pow (/ (+ n f) (- f n)) 1/3) in f 5.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ n f) (- f n))))) in f 5.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ n f) (- f n)))) in f 5.042 * [taylor]: Taking taylor expansion of 1/3 in f 5.042 * [backup-simplify]: Simplify 1/3 into 1/3 5.042 * [taylor]: Taking taylor expansion of (log (/ (+ n f) (- f n))) in f 5.042 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.042 * [taylor]: Taking taylor expansion of (+ n f) in f 5.042 * [taylor]: Taking taylor expansion of n in f 5.042 * [backup-simplify]: Simplify n into n 5.042 * [taylor]: Taking taylor expansion of f in f 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [taylor]: Taking taylor expansion of (- f n) in f 5.042 * [taylor]: Taking taylor expansion of f in f 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.043 * [taylor]: Taking taylor expansion of n in f 5.043 * [backup-simplify]: Simplify n into n 5.043 * [backup-simplify]: Simplify (+ n 0) into n 5.043 * [backup-simplify]: Simplify (- n) into (- n) 5.043 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.043 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.043 * [backup-simplify]: Simplify (log -1) into (log -1) 5.044 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.046 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.048 * [backup-simplify]: Simplify (* (cbrt -1) (pow -1 1/3)) into (* (pow -1 1/3) (cbrt -1)) 5.048 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (cbrt -1)) in n 5.048 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.048 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.048 * [taylor]: Taking taylor expansion of 1/3 in n 5.048 * [backup-simplify]: Simplify 1/3 into 1/3 5.048 * [taylor]: Taking taylor expansion of (log -1) in n 5.048 * [taylor]: Taking taylor expansion of -1 in n 5.048 * [backup-simplify]: Simplify -1 into -1 5.049 * [backup-simplify]: Simplify (log -1) into (log -1) 5.050 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.051 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.051 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.051 * [taylor]: Taking taylor expansion of -1 in n 5.051 * [backup-simplify]: Simplify -1 into -1 5.052 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.052 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.054 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 5.056 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 5.057 * [backup-simplify]: Simplify (+ 0 1) into 1 5.058 * [backup-simplify]: Simplify (- 0) into 0 5.058 * [backup-simplify]: Simplify (+ 1 0) into 1 5.058 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 5.060 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 5.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (pow -1 1/3) (/ 1 n))) 5.064 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 2/3 (* (pow -1 1/3) (/ 1 n)))) (* 0 (pow -1 1/3))) into (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) 5.064 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ (cbrt -1) n))) in n 5.064 * [taylor]: Taking taylor expansion of 2/3 in n 5.064 * [backup-simplify]: Simplify 2/3 into 2/3 5.064 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) n)) in n 5.064 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.064 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.064 * [taylor]: Taking taylor expansion of 1/3 in n 5.064 * [backup-simplify]: Simplify 1/3 into 1/3 5.064 * [taylor]: Taking taylor expansion of (log -1) in n 5.064 * [taylor]: Taking taylor expansion of -1 in n 5.064 * [backup-simplify]: Simplify -1 into -1 5.065 * [backup-simplify]: Simplify (log -1) into (log -1) 5.066 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.067 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.067 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 5.067 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.067 * [taylor]: Taking taylor expansion of -1 in n 5.067 * [backup-simplify]: Simplify -1 into -1 5.068 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.069 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.069 * [taylor]: Taking taylor expansion of n in n 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.076 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 5.078 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 5.080 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (* (pow -1 1/3) (cbrt -1)))) into 0 5.080 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.085 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.087 * [backup-simplify]: Simplify (- 0) into 0 5.087 * [backup-simplify]: Simplify (+ 0 0) into 0 5.088 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 5.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 5.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) 5.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.098 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2))))) (+ (* 0 (* 2/3 (* (pow -1 1/3) (/ 1 n)))) (* 0 (pow -1 1/3)))) into (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) 5.098 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ (cbrt -1) (pow n 2)))) in n 5.098 * [taylor]: Taking taylor expansion of 2/9 in n 5.098 * [backup-simplify]: Simplify 2/9 into 2/9 5.098 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 2))) in n 5.098 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.098 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.098 * [taylor]: Taking taylor expansion of 1/3 in n 5.098 * [backup-simplify]: Simplify 1/3 into 1/3 5.098 * [taylor]: Taking taylor expansion of (log -1) in n 5.098 * [taylor]: Taking taylor expansion of -1 in n 5.098 * [backup-simplify]: Simplify -1 into -1 5.099 * [backup-simplify]: Simplify (log -1) into (log -1) 5.100 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.101 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.101 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 5.101 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.101 * [taylor]: Taking taylor expansion of -1 in n 5.101 * [backup-simplify]: Simplify -1 into -1 5.102 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.103 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.103 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.103 * [taylor]: Taking taylor expansion of n in n 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (* 1 1) into 1 5.104 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.114 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.124 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.135 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 5.137 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 5.138 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (* (pow -1 1/3) (cbrt -1))))) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.148 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.149 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow -1 1/3) (cbrt -1))))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.159 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.161 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.167 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 5.168 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 5.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) 5.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.176 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3))))) (+ (* 0 (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2))))) (+ (* 0 (* 2/3 (* (pow -1 1/3) (/ 1 n)))) (* 0 (pow -1 1/3))))) into (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) 5.176 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ (cbrt -1) (pow n 3)))) in n 5.176 * [taylor]: Taking taylor expansion of 22/81 in n 5.176 * [backup-simplify]: Simplify 22/81 into 22/81 5.176 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ (cbrt -1) (pow n 3))) in n 5.176 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.176 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.176 * [taylor]: Taking taylor expansion of 1/3 in n 5.176 * [backup-simplify]: Simplify 1/3 into 1/3 5.177 * [taylor]: Taking taylor expansion of (log -1) in n 5.177 * [taylor]: Taking taylor expansion of -1 in n 5.177 * [backup-simplify]: Simplify -1 into -1 5.177 * [backup-simplify]: Simplify (log -1) into (log -1) 5.178 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.179 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.179 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 5.179 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.180 * [taylor]: Taking taylor expansion of -1 in n 5.180 * [backup-simplify]: Simplify -1 into -1 5.180 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.181 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.181 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.181 * [taylor]: Taking taylor expansion of n in n 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (* 1 1) into 1 5.182 * [backup-simplify]: Simplify (* 1 1) into 1 5.183 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.200 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.214 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 5.216 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 5.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.222 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.223 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 (cbrt -1))) into 0 5.225 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 5.227 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow -1 1/3) (cbrt -1)))))) into 0 5.227 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify (* (pow -1 1/3) (cbrt -1)) into (* (pow -1 1/3) (cbrt -1)) 5.229 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) 5.229 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in (f n) around 0 5.229 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in n 5.229 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.229 * [taylor]: Taking taylor expansion of -1 in n 5.229 * [backup-simplify]: Simplify -1 into -1 5.230 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.230 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.230 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in n 5.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 5.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 5.231 * [taylor]: Taking taylor expansion of 1/3 in n 5.231 * [backup-simplify]: Simplify 1/3 into 1/3 5.231 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.231 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.231 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.231 * [taylor]: Taking taylor expansion of f in n 5.231 * [backup-simplify]: Simplify f into f 5.231 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.231 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.231 * [taylor]: Taking taylor expansion of n in n 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.232 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.232 * [taylor]: Taking taylor expansion of f in n 5.232 * [backup-simplify]: Simplify f into f 5.232 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.232 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.232 * [taylor]: Taking taylor expansion of n in n 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [backup-simplify]: Simplify (+ 0 1) into 1 5.233 * [backup-simplify]: Simplify (- 1) into -1 5.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.234 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.234 * [backup-simplify]: Simplify (log -1) into (log -1) 5.235 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.237 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.237 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in f 5.237 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.237 * [taylor]: Taking taylor expansion of -1 in f 5.237 * [backup-simplify]: Simplify -1 into -1 5.237 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.238 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.238 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 5.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 5.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.238 * [taylor]: Taking taylor expansion of 1/3 in f 5.238 * [backup-simplify]: Simplify 1/3 into 1/3 5.238 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.239 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.239 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.239 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.239 * [taylor]: Taking taylor expansion of f in f 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (/ 1 1) into 1 5.239 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.239 * [taylor]: Taking taylor expansion of n in f 5.239 * [backup-simplify]: Simplify n into n 5.239 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.239 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.239 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.239 * [taylor]: Taking taylor expansion of f in f 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (/ 1 1) into 1 5.240 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.240 * [taylor]: Taking taylor expansion of n in f 5.240 * [backup-simplify]: Simplify n into n 5.240 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.241 * [backup-simplify]: Simplify (+ 1 0) into 1 5.241 * [backup-simplify]: Simplify (+ 1 0) into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.242 * [backup-simplify]: Simplify (log 1) into 0 5.242 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.244 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.245 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 5.246 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 5.246 * [backup-simplify]: Simplify (exp 0) into 1 5.246 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3)) in f 5.246 * [taylor]: Taking taylor expansion of (cbrt -1) in f 5.246 * [taylor]: Taking taylor expansion of -1 in f 5.246 * [backup-simplify]: Simplify -1 into -1 5.246 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.247 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.247 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 1/3) in f 5.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 5.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.247 * [taylor]: Taking taylor expansion of 1/3 in f 5.247 * [backup-simplify]: Simplify 1/3 into 1/3 5.247 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.248 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.248 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.248 * [taylor]: Taking taylor expansion of f in f 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (/ 1 1) into 1 5.248 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.248 * [taylor]: Taking taylor expansion of n in f 5.248 * [backup-simplify]: Simplify n into n 5.248 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.248 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.248 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.248 * [taylor]: Taking taylor expansion of f in f 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (/ 1 1) into 1 5.249 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.249 * [taylor]: Taking taylor expansion of n in f 5.249 * [backup-simplify]: Simplify n into n 5.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.249 * [backup-simplify]: Simplify (+ 1 0) into 1 5.250 * [backup-simplify]: Simplify (+ 1 0) into 1 5.250 * [backup-simplify]: Simplify (/ 1 1) into 1 5.250 * [backup-simplify]: Simplify (log 1) into 0 5.251 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.253 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.253 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ 2 n) 5.254 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 0)) into (* 2/3 (/ 1 n)) 5.254 * [backup-simplify]: Simplify (exp 0) into 1 5.256 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 5.256 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.256 * [taylor]: Taking taylor expansion of -1 in n 5.256 * [backup-simplify]: Simplify -1 into -1 5.256 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.257 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.257 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.258 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (/ 2/3 n) 5.259 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 2/3 n)) (* 0 1)) into (* 2/3 (/ (cbrt -1) n)) 5.259 * [taylor]: Taking taylor expansion of (* 2/3 (/ (cbrt -1) n)) in n 5.259 * [taylor]: Taking taylor expansion of 2/3 in n 5.259 * [backup-simplify]: Simplify 2/3 into 2/3 5.259 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 5.259 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.259 * [taylor]: Taking taylor expansion of -1 in n 5.259 * [backup-simplify]: Simplify -1 into -1 5.259 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.260 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.260 * [taylor]: Taking taylor expansion of n in n 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (cbrt -1))) into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.267 * [backup-simplify]: Simplify (- 0) into 0 5.267 * [backup-simplify]: Simplify (+ 0 0) into 0 5.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 1)))) 2) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 0))) into 0 5.272 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 2/9 (pow n 2)) 5.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.276 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 2/9 (pow n 2))) (+ (* 0 (/ 2/3 n)) (* 0 1))) into (* 2/9 (/ (cbrt -1) (pow n 2))) 5.276 * [taylor]: Taking taylor expansion of (* 2/9 (/ (cbrt -1) (pow n 2))) in n 5.276 * [taylor]: Taking taylor expansion of 2/9 in n 5.276 * [backup-simplify]: Simplify 2/9 into 2/9 5.276 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 5.276 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.276 * [taylor]: Taking taylor expansion of -1 in n 5.276 * [backup-simplify]: Simplify -1 into -1 5.277 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.278 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.278 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.278 * [taylor]: Taking taylor expansion of n in n 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [backup-simplify]: Simplify (* 1 1) into 1 5.279 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.286 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.289 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 5.289 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.293 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.294 * [backup-simplify]: Simplify (- 0) into 0 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.307 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ 1 n))) 1) (pow (* 2 (* 2 (/ 1 (pow n 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2 (/ 1 (pow n 3)))) 1)) (pow 1 1)))) 6) into (/ 2/3 (pow n 3)) 5.308 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 0)))) into (* 2/9 (/ 1 (pow n 3))) 5.310 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (/ 22/81 (pow n 3)) 5.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.313 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 22/81 (pow n 3))) (+ (* 0 (/ 2/9 (pow n 2))) (+ (* 0 (/ 2/3 n)) (* 0 1)))) into (* 22/81 (/ (cbrt -1) (pow n 3))) 5.313 * [taylor]: Taking taylor expansion of (* 22/81 (/ (cbrt -1) (pow n 3))) in n 5.313 * [taylor]: Taking taylor expansion of 22/81 in n 5.313 * [backup-simplify]: Simplify 22/81 into 22/81 5.313 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 5.313 * [taylor]: Taking taylor expansion of (cbrt -1) in n 5.313 * [taylor]: Taking taylor expansion of -1 in n 5.313 * [backup-simplify]: Simplify -1 into -1 5.314 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.315 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 5.315 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.315 * [taylor]: Taking taylor expansion of n in n 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (* 1 1) into 1 5.316 * [backup-simplify]: Simplify (* 1 1) into 1 5.317 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 5.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 5.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 5.331 * [backup-simplify]: Simplify (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) 5.331 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in (f n) around 0 5.331 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in n 5.331 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 5.331 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 5.331 * [taylor]: Taking taylor expansion of 1/3 in n 5.331 * [backup-simplify]: Simplify 1/3 into 1/3 5.331 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 5.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.331 * [taylor]: Taking taylor expansion of f in n 5.331 * [backup-simplify]: Simplify f into f 5.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.332 * [taylor]: Taking taylor expansion of n in n 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (/ 1 1) into 1 5.332 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.332 * [taylor]: Taking taylor expansion of n in n 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.333 * [backup-simplify]: Simplify (/ 1 1) into 1 5.333 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.333 * [taylor]: Taking taylor expansion of f in n 5.333 * [backup-simplify]: Simplify f into f 5.333 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.333 * [backup-simplify]: Simplify (+ 0 1) into 1 5.334 * [backup-simplify]: Simplify (+ 1 0) into 1 5.334 * [backup-simplify]: Simplify (/ 1 1) into 1 5.335 * [backup-simplify]: Simplify (log 1) into 0 5.335 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.337 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 5.337 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 5.337 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 5.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ 1 f))) 1)) (pow 1 1)))) 1) into (/ 2 f) 5.339 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 f)) (* 0 0)) into (* 2/3 (/ 1 f)) 5.339 * [backup-simplify]: Simplify (exp 0) into 1 5.339 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 5.339 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 5.339 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 5.339 * [taylor]: Taking taylor expansion of 1/3 in f 5.339 * [backup-simplify]: Simplify 1/3 into 1/3 5.339 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.339 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.339 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.339 * [taylor]: Taking taylor expansion of f in f 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [backup-simplify]: Simplify (/ 1 1) into 1 5.339 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.339 * [taylor]: Taking taylor expansion of n in f 5.339 * [backup-simplify]: Simplify n into n 5.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.340 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.340 * [taylor]: Taking taylor expansion of n in f 5.340 * [backup-simplify]: Simplify n into n 5.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.340 * [taylor]: Taking taylor expansion of f in f 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [backup-simplify]: Simplify (+ 1 0) into 1 5.341 * [backup-simplify]: Simplify (- 1) into -1 5.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.342 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.342 * [backup-simplify]: Simplify (log -1) into (log -1) 5.343 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.345 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.345 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1/3) in f 5.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 5.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 5.345 * [taylor]: Taking taylor expansion of 1/3 in f 5.345 * [backup-simplify]: Simplify 1/3 into 1/3 5.345 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.345 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.345 * [taylor]: Taking taylor expansion of f in f 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (/ 1 1) into 1 5.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.346 * [taylor]: Taking taylor expansion of n in f 5.346 * [backup-simplify]: Simplify n into n 5.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.346 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.346 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.346 * [taylor]: Taking taylor expansion of n in f 5.346 * [backup-simplify]: Simplify n into n 5.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.346 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.346 * [taylor]: Taking taylor expansion of f in f 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.348 * [backup-simplify]: Simplify (+ 1 0) into 1 5.348 * [backup-simplify]: Simplify (- 1) into -1 5.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.349 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.349 * [backup-simplify]: Simplify (log -1) into (log -1) 5.350 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.351 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.351 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.351 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.351 * [taylor]: Taking taylor expansion of 1/3 in n 5.351 * [backup-simplify]: Simplify 1/3 into 1/3 5.351 * [taylor]: Taking taylor expansion of (log -1) in n 5.351 * [taylor]: Taking taylor expansion of -1 in n 5.351 * [backup-simplify]: Simplify -1 into -1 5.352 * [backup-simplify]: Simplify (log -1) into (log -1) 5.352 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.353 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.353 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.355 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1)) (pow -1 1)))) 1) into (/ 2 n) 5.356 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2 n)) (* 0 (log -1))) into (* 2/3 (/ 1 n)) 5.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 1) 1)))) into (* 2/3 (* (pow -1 1/3) (/ 1 n))) 5.357 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow -1 1/3) (/ 1 n))) in n 5.357 * [taylor]: Taking taylor expansion of 2/3 in n 5.357 * [backup-simplify]: Simplify 2/3 into 2/3 5.357 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 n)) in n 5.357 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.357 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.357 * [taylor]: Taking taylor expansion of 1/3 in n 5.357 * [backup-simplify]: Simplify 1/3 into 1/3 5.357 * [taylor]: Taking taylor expansion of (log -1) in n 5.357 * [taylor]: Taking taylor expansion of -1 in n 5.357 * [backup-simplify]: Simplify -1 into -1 5.358 * [backup-simplify]: Simplify (log -1) into (log -1) 5.358 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.360 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.360 * [taylor]: Taking taylor expansion of n in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 1)) into 0 5.367 * [backup-simplify]: Simplify (* (pow -1 1/3) 1) into (pow -1 1/3) 5.368 * [backup-simplify]: Simplify (+ (* 2/3 0) (* 0 (pow -1 1/3))) into 0 5.368 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.371 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.372 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.372 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (- 0) into 0 5.376 * [backup-simplify]: Simplify (+ 0 0) into 0 5.377 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 1)))) 2) into 0 5.381 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 2 n)) (* 0 (log -1)))) into 0 5.383 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) 5.383 * [taylor]: Taking taylor expansion of (* 2/9 (* (pow -1 1/3) (/ 1 (pow n 2)))) in n 5.383 * [taylor]: Taking taylor expansion of 2/9 in n 5.383 * [backup-simplify]: Simplify 2/9 into 2/9 5.383 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 2))) in n 5.383 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.384 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.384 * [taylor]: Taking taylor expansion of 1/3 in n 5.384 * [backup-simplify]: Simplify 1/3 into 1/3 5.384 * [taylor]: Taking taylor expansion of (log -1) in n 5.384 * [taylor]: Taking taylor expansion of -1 in n 5.384 * [backup-simplify]: Simplify -1 into -1 5.384 * [backup-simplify]: Simplify (log -1) into (log -1) 5.385 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.386 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.386 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.386 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.386 * [taylor]: Taking taylor expansion of n in n 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (* 1 1) into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.394 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.400 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 5.403 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 1)) into 0 5.404 * [backup-simplify]: Simplify (* (pow -1 1/3) 1) into (pow -1 1/3) 5.405 * [backup-simplify]: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.414 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.415 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 5.417 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (pow -1 1/3)))) into 0 5.417 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.421 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.425 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (- 0) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.429 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.432 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ 1 n)))) 1) (pow (* 2 (- (* 2 (/ 1 (pow n 2))))) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2 (/ 1 (pow n 3))))) 1)) (pow -1 1)))) 6) into (/ 2/3 (pow n 3)) 5.433 * [backup-simplify]: Simplify (+ (* 1/3 (/ 2/3 (pow n 3))) (+ (* 0 0) (+ (* 0 (/ 2 n)) (* 0 (log -1))))) into (* 2/9 (/ 1 (pow n 3))) 5.436 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow (* 2/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 2/3 (/ 1 n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 2/9 (/ 1 (pow n 3))) 1) 1)))) into (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) 5.436 * [taylor]: Taking taylor expansion of (* 22/81 (* (pow -1 1/3) (/ 1 (pow n 3)))) in n 5.436 * [taylor]: Taking taylor expansion of 22/81 in n 5.436 * [backup-simplify]: Simplify 22/81 into 22/81 5.436 * [taylor]: Taking taylor expansion of (* (pow -1 1/3) (/ 1 (pow n 3))) in n 5.436 * [taylor]: Taking taylor expansion of (pow -1 1/3) in n 5.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log -1))) in n 5.436 * [taylor]: Taking taylor expansion of (* 1/3 (log -1)) in n 5.436 * [taylor]: Taking taylor expansion of 1/3 in n 5.436 * [backup-simplify]: Simplify 1/3 into 1/3 5.436 * [taylor]: Taking taylor expansion of (log -1) in n 5.436 * [taylor]: Taking taylor expansion of -1 in n 5.436 * [backup-simplify]: Simplify -1 into -1 5.437 * [backup-simplify]: Simplify (log -1) into (log -1) 5.438 * [backup-simplify]: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) 5.439 * [backup-simplify]: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) 5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.440 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.440 * [taylor]: Taking taylor expansion of n in n 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (* 1 1) into 1 5.441 * [backup-simplify]: Simplify (* 1 1) into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 5.462 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 5.465 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log -1)))) into 0 5.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.474 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 5.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log -1))))) into 0 5.478 * [backup-simplify]: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.480 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 5.482 * [backup-simplify]: Simplify (+ (* (pow -1 1/3) 0) (* 0 1)) into 0 5.483 * [backup-simplify]: Simplify (* (pow -1 1/3) 1) into (pow -1 1/3) 5.485 * [backup-simplify]: Simplify (+ (* 22/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow -1 1/3))))) into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify (pow -1 1/3) into (pow -1 1/3) 5.485 * * * [progress]: simplifying candidates 5.496 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (- (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) (- 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enodes 5.597 * * [simplify]: iteration 1: 405 enodes 5.768 * * [simplify]: iteration 2: 825 enodes 6.312 * * [simplify]: iteration 3: 2512 enodes 7.913 * * [simplify]: iteration complete: 5032 enodes 7.913 * * [simplify]: Extracting #0: cost 160 inf + 0 7.916 * * [simplify]: Extracting #1: cost 659 inf + 3 7.924 * * [simplify]: Extracting #2: cost 1112 inf + 9633 7.956 * * [simplify]: Extracting #3: cost 993 inf + 107583 8.041 * * [simplify]: Extracting #4: cost 381 inf + 264342 8.166 * * [simplify]: Extracting #5: cost 97 inf + 335420 8.290 * * [simplify]: Extracting #6: cost 43 inf + 348887 8.405 * * [simplify]: Extracting #7: cost 13 inf + 352934 8.531 * * [simplify]: Extracting #8: cost 0 inf + 356218 8.642 * [simplify]: Simplified to: (log (/ (- (- f) n) (- f n))) (log (/ (- (- f) n) (- f n))) (exp (/ (- (- f) n) (- f n))) (- (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))) (* (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ (- (- f) n) (- f n)))) (cbrt (/ (- (- f) n) 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(sqrt (- f n)))) (cbrt (/ (- (- f) n) (sqrt (- f n)))) 1 (cbrt (/ (- (- f) n) (- f n))) (cbrt (/ 1 (+ (sqrt n) (sqrt f)))) (cbrt (/ (- (- f) n) (- (sqrt f) (sqrt n)))) 1 (cbrt (/ (- (- f) n) (- f n))) 1 (cbrt (/ (- (- f) n) (- f n))) (cbrt (- (- f) n)) (cbrt (/ 1 (- f n))) (cbrt (/ (- (- f) n) (- (* (* f f) f) (* (* n n) n)))) (cbrt (+ (* f f) (* (+ n f) n))) (cbrt (- (/ 1 (- f n)))) (cbrt (+ n f)) (cbrt (- (- f) n)) (cbrt (- f n)) (* (cbrt (cbrt (/ (- (- f) n) (- f n)))) (cbrt (cbrt (/ (- (- f) n) (- f n))))) (cbrt (cbrt (/ (- (- f) n) (- f n)))) (/ (- (- f) n) (- f n)) (sqrt (cbrt (/ (- (- f) n) (- f n)))) (sqrt (cbrt (/ (- (- f) n) (- f n)))) 1 -1 -1 1 -1 -1 1 -1 -1 (* (cbrt -1) (cbrt -1)) (cbrt -1) (cbrt -1) 8.721 * * * [progress]: adding candidates to table 11.252 * * [progress]: iteration 3 / 4 11.252 * * * [progress]: picking best candidate 11.280 * * * * [pick]: Picked # 11.280 * * * [progress]: localizing error 11.312 * * * [progress]: generating rewritten candidates 11.312 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 11.412 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 11.431 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 11.521 * * * [progress]: generating series expansions 11.521 * * * * [progress]: [ 1 / 3 ] generating series at (2) 11.522 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 11.522 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 11.522 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 11.522 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 11.522 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.522 * [taylor]: Taking taylor expansion of n in n 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.522 * [taylor]: Taking taylor expansion of (pow f 2) in n 11.522 * [taylor]: Taking taylor expansion of f in n 11.522 * [backup-simplify]: Simplify f into f 11.522 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 11.522 * [taylor]: Taking taylor expansion of (- f n) in n 11.522 * [taylor]: Taking taylor expansion of f in n 11.522 * [backup-simplify]: Simplify f into f 11.522 * [taylor]: Taking taylor expansion of n in n 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.523 * [backup-simplify]: Simplify (- 0) into 0 11.523 * [backup-simplify]: Simplify (+ f 0) into f 11.523 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.524 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 11.524 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 11.524 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.524 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 11.524 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 11.524 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 11.524 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.524 * [taylor]: Taking taylor expansion of n in f 11.524 * [backup-simplify]: Simplify n into n 11.524 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.524 * [taylor]: Taking taylor expansion of f in f 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 1 into 1 11.524 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 11.524 * [taylor]: Taking taylor expansion of (- f n) in f 11.525 * [taylor]: Taking taylor expansion of f in f 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [taylor]: Taking taylor expansion of n in f 11.525 * [backup-simplify]: Simplify n into n 11.525 * [backup-simplify]: Simplify (- n) into (- n) 11.525 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.525 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.525 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 11.525 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.525 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 11.525 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 11.525 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 11.525 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.525 * [taylor]: Taking taylor expansion of n in f 11.525 * [backup-simplify]: Simplify n into n 11.525 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.525 * [taylor]: Taking taylor expansion of f in f 11.526 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify 1 into 1 11.526 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 11.526 * [taylor]: Taking taylor expansion of (- f n) in f 11.526 * [taylor]: Taking taylor expansion of f in f 11.526 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify 1 into 1 11.526 * [taylor]: Taking taylor expansion of n in f 11.526 * [backup-simplify]: Simplify n into n 11.526 * [backup-simplify]: Simplify (- n) into (- n) 11.526 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.526 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.526 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 11.526 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.526 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 11.526 * [taylor]: Taking taylor expansion of 1 in n 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 11.527 * [backup-simplify]: Simplify (+ 0 0) into 0 11.528 * [backup-simplify]: Simplify (- 0) into 0 11.528 * [backup-simplify]: Simplify (+ 1 0) into 1 11.528 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 11.529 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 11.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.529 * [taylor]: Taking taylor expansion of 2 in n 11.529 * [backup-simplify]: Simplify 2 into 2 11.529 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.529 * [taylor]: Taking taylor expansion of n in n 11.529 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify 1 into 1 11.529 * [backup-simplify]: Simplify (/ 1 1) into 1 11.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.531 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 11.532 * [backup-simplify]: Simplify (* 1 1) into 1 11.532 * [backup-simplify]: Simplify (- 1) into -1 11.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.533 * [backup-simplify]: Simplify (- 0) into 0 11.534 * [backup-simplify]: Simplify (+ 0 0) into 0 11.534 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 11.535 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 11.535 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.535 * [taylor]: Taking taylor expansion of 2 in n 11.535 * [backup-simplify]: Simplify 2 into 2 11.535 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.535 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.535 * [taylor]: Taking taylor expansion of n in n 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (* 1 1) into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.540 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.542 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.544 * [backup-simplify]: Simplify (- 0) into 0 11.545 * [backup-simplify]: Simplify (+ 0 0) into 0 11.545 * [backup-simplify]: Simplify (- 0) into 0 11.545 * [backup-simplify]: Simplify (+ 0 0) into 0 11.546 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 11.548 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 11.548 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.548 * [taylor]: Taking taylor expansion of 2 in n 11.548 * [backup-simplify]: Simplify 2 into 2 11.548 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.548 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.548 * [taylor]: Taking taylor expansion of n in n 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 1 into 1 11.549 * [backup-simplify]: Simplify (* 1 1) into 1 11.549 * [backup-simplify]: Simplify (* 1 1) into 1 11.549 * [backup-simplify]: Simplify (/ 1 1) into 1 11.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.560 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 11.560 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 11.560 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 11.560 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 11.560 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.560 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.560 * [taylor]: Taking taylor expansion of n in n 11.560 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.561 * [backup-simplify]: Simplify (* 1 1) into 1 11.561 * [backup-simplify]: Simplify (/ 1 1) into 1 11.561 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 11.561 * [taylor]: Taking taylor expansion of (pow f 2) in n 11.561 * [taylor]: Taking taylor expansion of f in n 11.562 * [backup-simplify]: Simplify f into f 11.562 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.562 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 11.562 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 11.562 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.562 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.562 * [taylor]: Taking taylor expansion of f in n 11.562 * [backup-simplify]: Simplify f into f 11.562 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.562 * [taylor]: Taking taylor expansion of n in n 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 1 into 1 11.563 * [backup-simplify]: Simplify (/ 1 1) into 1 11.563 * [backup-simplify]: Simplify (- 1) into -1 11.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.564 * [backup-simplify]: Simplify (+ 1 0) into 1 11.564 * [backup-simplify]: Simplify (* -1 -1) into 1 11.565 * [backup-simplify]: Simplify (/ 1 1) into 1 11.565 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 11.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 11.565 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.565 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.565 * [taylor]: Taking taylor expansion of n in f 11.565 * [backup-simplify]: Simplify n into n 11.565 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.565 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.565 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.565 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.565 * [taylor]: Taking taylor expansion of f in f 11.565 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify 1 into 1 11.566 * [backup-simplify]: Simplify (* 1 1) into 1 11.566 * [backup-simplify]: Simplify (/ 1 1) into 1 11.566 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 11.566 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.566 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.566 * [taylor]: Taking taylor expansion of f in f 11.566 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify 1 into 1 11.567 * [backup-simplify]: Simplify (/ 1 1) into 1 11.567 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.567 * [taylor]: Taking taylor expansion of n in f 11.567 * [backup-simplify]: Simplify n into n 11.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.567 * [backup-simplify]: Simplify (+ 1 0) into 1 11.568 * [backup-simplify]: Simplify (- 1) into -1 11.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.568 * [backup-simplify]: Simplify (* 1 1) into 1 11.569 * [backup-simplify]: Simplify (/ -1 1) into -1 11.569 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 11.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 11.569 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.569 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.569 * [taylor]: Taking taylor expansion of n in f 11.569 * [backup-simplify]: Simplify n into n 11.569 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.569 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.569 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.569 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.569 * [taylor]: Taking taylor expansion of f in f 11.569 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [backup-simplify]: Simplify (* 1 1) into 1 11.570 * [backup-simplify]: Simplify (/ 1 1) into 1 11.570 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 11.570 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.570 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.570 * [taylor]: Taking taylor expansion of f in f 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.571 * [backup-simplify]: Simplify (/ 1 1) into 1 11.571 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.571 * [taylor]: Taking taylor expansion of n in f 11.571 * [backup-simplify]: Simplify n into n 11.571 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.571 * [backup-simplify]: Simplify (+ 1 0) into 1 11.572 * [backup-simplify]: Simplify (- 1) into -1 11.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.573 * [backup-simplify]: Simplify (* 1 1) into 1 11.573 * [backup-simplify]: Simplify (/ -1 1) into -1 11.573 * [taylor]: Taking taylor expansion of -1 in n 11.573 * [backup-simplify]: Simplify -1 into -1 11.573 * [backup-simplify]: Simplify -1 into -1 11.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.575 * [backup-simplify]: Simplify (- 0) into 0 11.575 * [backup-simplify]: Simplify (+ 0 0) into 0 11.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.576 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.576 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.577 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 11.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 11.577 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.577 * [taylor]: Taking taylor expansion of 2 in n 11.578 * [backup-simplify]: Simplify 2 into 2 11.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.578 * [taylor]: Taking taylor expansion of n in n 11.578 * [backup-simplify]: Simplify 0 into 0 11.578 * [backup-simplify]: Simplify 1 into 1 11.578 * [backup-simplify]: Simplify (/ 1 1) into 1 11.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.580 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.580 * [backup-simplify]: Simplify (- 0) into 0 11.580 * [backup-simplify]: Simplify 0 into 0 11.580 * [backup-simplify]: Simplify 0 into 0 11.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.582 * [backup-simplify]: Simplify (- 0) into 0 11.582 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 11.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.584 * [backup-simplify]: Simplify (- 0) into 0 11.584 * [backup-simplify]: Simplify (+ 0 0) into 0 11.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 11.586 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.586 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.586 * [taylor]: Taking taylor expansion of 2 in n 11.586 * [backup-simplify]: Simplify 2 into 2 11.586 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.587 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.587 * [taylor]: Taking taylor expansion of n in n 11.587 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify 1 into 1 11.587 * [backup-simplify]: Simplify (* 1 1) into 1 11.587 * [backup-simplify]: Simplify (/ 1 1) into 1 11.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.592 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.592 * [backup-simplify]: Simplify (- 0) into 0 11.592 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.594 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.594 * [backup-simplify]: Simplify (- 0) into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.595 * [backup-simplify]: Simplify 0 into 0 11.595 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 11.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 11.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.603 * [backup-simplify]: Simplify (- 0) into 0 11.603 * [backup-simplify]: Simplify (+ 0 0) into 0 11.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.605 * [backup-simplify]: Simplify (- 0) into 0 11.605 * [backup-simplify]: Simplify (+ 0 0) into 0 11.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 11.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.608 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.608 * [taylor]: Taking taylor expansion of 2 in n 11.608 * [backup-simplify]: Simplify 2 into 2 11.608 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.608 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.608 * [taylor]: Taking taylor expansion of n in n 11.608 * [backup-simplify]: Simplify 0 into 0 11.608 * [backup-simplify]: Simplify 1 into 1 11.609 * [backup-simplify]: Simplify (* 1 1) into 1 11.609 * [backup-simplify]: Simplify (* 1 1) into 1 11.610 * [backup-simplify]: Simplify (/ 1 1) into 1 11.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.619 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.619 * [backup-simplify]: Simplify (- 0) into 0 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify -1 into -1 11.620 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 11.620 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 11.620 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 11.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 11.620 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.620 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.620 * [taylor]: Taking taylor expansion of n in n 11.620 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify (* 1 1) into 1 11.621 * [backup-simplify]: Simplify (/ 1 1) into 1 11.621 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 11.621 * [taylor]: Taking taylor expansion of (pow f 2) in n 11.621 * [taylor]: Taking taylor expansion of f in n 11.621 * [backup-simplify]: Simplify f into f 11.621 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.622 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 11.622 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 11.622 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.622 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.622 * [taylor]: Taking taylor expansion of n in n 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 1 into 1 11.622 * [backup-simplify]: Simplify (/ 1 1) into 1 11.622 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.622 * [taylor]: Taking taylor expansion of f in n 11.622 * [backup-simplify]: Simplify f into f 11.622 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.623 * [backup-simplify]: Simplify (+ 1 0) into 1 11.623 * [backup-simplify]: Simplify (+ 1 0) into 1 11.623 * [backup-simplify]: Simplify (* 1 1) into 1 11.624 * [backup-simplify]: Simplify (/ 1 1) into 1 11.624 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 11.624 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 11.624 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.624 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.624 * [taylor]: Taking taylor expansion of n in f 11.624 * [backup-simplify]: Simplify n into n 11.624 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.624 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.624 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.624 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.624 * [taylor]: Taking taylor expansion of f in f 11.624 * [backup-simplify]: Simplify 0 into 0 11.624 * [backup-simplify]: Simplify 1 into 1 11.625 * [backup-simplify]: Simplify (* 1 1) into 1 11.625 * [backup-simplify]: Simplify (/ 1 1) into 1 11.625 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 11.625 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.625 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.625 * [taylor]: Taking taylor expansion of n in f 11.625 * [backup-simplify]: Simplify n into n 11.625 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.625 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.625 * [taylor]: Taking taylor expansion of f in f 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (/ 1 1) into 1 11.626 * [backup-simplify]: Simplify (- 1) into -1 11.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.627 * [backup-simplify]: Simplify (- 1) into -1 11.627 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.628 * [backup-simplify]: Simplify (* -1 -1) into 1 11.628 * [backup-simplify]: Simplify (/ -1 1) into -1 11.628 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 11.628 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 11.628 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.628 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.628 * [taylor]: Taking taylor expansion of n in f 11.628 * [backup-simplify]: Simplify n into n 11.628 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.629 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.629 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.629 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.629 * [taylor]: Taking taylor expansion of f in f 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (* 1 1) into 1 11.629 * [backup-simplify]: Simplify (/ 1 1) into 1 11.630 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 11.630 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.630 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.630 * [taylor]: Taking taylor expansion of n in f 11.630 * [backup-simplify]: Simplify n into n 11.630 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.630 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.630 * [taylor]: Taking taylor expansion of f in f 11.630 * [backup-simplify]: Simplify 0 into 0 11.630 * [backup-simplify]: Simplify 1 into 1 11.630 * [backup-simplify]: Simplify (/ 1 1) into 1 11.631 * [backup-simplify]: Simplify (- 1) into -1 11.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.631 * [backup-simplify]: Simplify (- 1) into -1 11.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.632 * [backup-simplify]: Simplify (* -1 -1) into 1 11.633 * [backup-simplify]: Simplify (/ -1 1) into -1 11.633 * [taylor]: Taking taylor expansion of -1 in n 11.633 * [backup-simplify]: Simplify -1 into -1 11.633 * [backup-simplify]: Simplify -1 into -1 11.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.635 * [backup-simplify]: Simplify (- 0) into 0 11.635 * [backup-simplify]: Simplify (+ 0 0) into 0 11.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.636 * [backup-simplify]: Simplify (- 0) into 0 11.636 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.636 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 11.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 11.637 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.637 * [taylor]: Taking taylor expansion of 2 in n 11.637 * [backup-simplify]: Simplify 2 into 2 11.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.637 * [taylor]: Taking taylor expansion of n in n 11.637 * [backup-simplify]: Simplify 0 into 0 11.637 * [backup-simplify]: Simplify 1 into 1 11.638 * [backup-simplify]: Simplify (/ 1 1) into 1 11.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.639 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.640 * [backup-simplify]: Simplify (- 0) into 0 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify (- 0) into 0 11.642 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 11.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.644 * [backup-simplify]: Simplify (- 0) into 0 11.645 * [backup-simplify]: Simplify (+ 0 0) into 0 11.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 11.647 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.647 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.647 * [taylor]: Taking taylor expansion of 2 in n 11.647 * [backup-simplify]: Simplify 2 into 2 11.647 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.647 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.647 * [taylor]: Taking taylor expansion of n in n 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [backup-simplify]: Simplify 1 into 1 11.648 * [backup-simplify]: Simplify (* 1 1) into 1 11.648 * [backup-simplify]: Simplify (/ 1 1) into 1 11.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.653 * [backup-simplify]: Simplify (- 0) into 0 11.653 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.655 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.655 * [backup-simplify]: Simplify (- 0) into 0 11.655 * [backup-simplify]: Simplify 0 into 0 11.655 * [backup-simplify]: Simplify 0 into 0 11.655 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 11.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 11.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.658 * [backup-simplify]: Simplify (- 0) into 0 11.659 * [backup-simplify]: Simplify (+ 0 0) into 0 11.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.660 * [backup-simplify]: Simplify (- 0) into 0 11.661 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 11.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.664 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.664 * [taylor]: Taking taylor expansion of 2 in n 11.664 * [backup-simplify]: Simplify 2 into 2 11.664 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.664 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.664 * [taylor]: Taking taylor expansion of n in n 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 1 into 1 11.664 * [backup-simplify]: Simplify (* 1 1) into 1 11.665 * [backup-simplify]: Simplify (* 1 1) into 1 11.665 * [backup-simplify]: Simplify (/ 1 1) into 1 11.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.675 * [backup-simplify]: Simplify (- 0) into 0 11.675 * [backup-simplify]: Simplify 0 into 0 11.675 * [backup-simplify]: Simplify -1 into -1 11.675 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 11.676 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 11.676 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 11.676 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 11.676 * [taylor]: Taking taylor expansion of (pow f 2) in n 11.676 * [taylor]: Taking taylor expansion of f in n 11.676 * [backup-simplify]: Simplify f into f 11.676 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.676 * [taylor]: Taking taylor expansion of n in n 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 11.676 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.676 * [taylor]: Taking taylor expansion of f in f 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.676 * [taylor]: Taking taylor expansion of n in f 11.676 * [backup-simplify]: Simplify n into n 11.676 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 11.676 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.676 * [taylor]: Taking taylor expansion of f in f 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.677 * [taylor]: Taking taylor expansion of n in f 11.677 * [backup-simplify]: Simplify n into n 11.677 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.677 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 11.677 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 11.677 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 11.677 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.677 * [taylor]: Taking taylor expansion of n in n 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.677 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 11.678 * [backup-simplify]: Simplify (- 0) into 0 11.678 * [backup-simplify]: Simplify (+ 0 0) into 0 11.678 * [taylor]: Taking taylor expansion of 0 in n 11.678 * [backup-simplify]: Simplify 0 into 0 11.678 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify (* 1 1) into 1 11.686 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 11.687 * [backup-simplify]: Simplify (- 0) into 0 11.688 * [backup-simplify]: Simplify (+ 1 0) into 1 11.688 * [taylor]: Taking taylor expansion of 1 in n 11.688 * [backup-simplify]: Simplify 1 into 1 11.688 * [backup-simplify]: Simplify 1 into 1 11.688 * [backup-simplify]: Simplify 0 into 0 11.689 * [backup-simplify]: Simplify (* 1 1) into 1 11.689 * [backup-simplify]: Simplify (- 1) into -1 11.689 * [backup-simplify]: Simplify -1 into -1 11.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.691 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 11.691 * [backup-simplify]: Simplify (- 0) into 0 11.692 * [backup-simplify]: Simplify (+ 0 0) into 0 11.692 * [taylor]: Taking taylor expansion of 0 in n 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.693 * [backup-simplify]: Simplify (- 0) into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.695 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 11.696 * [backup-simplify]: Simplify (- 0) into 0 11.696 * [backup-simplify]: Simplify (+ 0 0) into 0 11.696 * [taylor]: Taking taylor expansion of 0 in n 11.696 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 11.697 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 11.697 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 11.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 11.698 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 11.698 * [taylor]: Taking taylor expansion of (pow f 2) in n 11.698 * [taylor]: Taking taylor expansion of f in n 11.698 * [backup-simplify]: Simplify f into f 11.698 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.698 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 11.698 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.698 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.698 * [taylor]: Taking taylor expansion of n in n 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 1 into 1 11.698 * [backup-simplify]: Simplify (* 1 1) into 1 11.699 * [backup-simplify]: Simplify (/ 1 1) into 1 11.699 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 11.699 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.699 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.699 * [taylor]: Taking taylor expansion of f in f 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify 1 into 1 11.699 * [backup-simplify]: Simplify (* 1 1) into 1 11.700 * [backup-simplify]: Simplify (/ 1 1) into 1 11.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.700 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.700 * [taylor]: Taking taylor expansion of n in f 11.700 * [backup-simplify]: Simplify n into n 11.700 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.700 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.700 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 11.700 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.700 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.700 * [taylor]: Taking taylor expansion of f in f 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (* 1 1) into 1 11.701 * [backup-simplify]: Simplify (/ 1 1) into 1 11.701 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.701 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.701 * [taylor]: Taking taylor expansion of n in f 11.701 * [backup-simplify]: Simplify n into n 11.701 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.701 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.702 * [backup-simplify]: Simplify (+ 1 0) into 1 11.702 * [taylor]: Taking taylor expansion of 1 in n 11.702 * [backup-simplify]: Simplify 1 into 1 11.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (+ 0 0) into 0 11.704 * [taylor]: Taking taylor expansion of 0 in n 11.704 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.706 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.706 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 11.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 11.706 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.706 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.706 * [taylor]: Taking taylor expansion of n in n 11.706 * [backup-simplify]: Simplify 0 into 0 11.706 * [backup-simplify]: Simplify 1 into 1 11.707 * [backup-simplify]: Simplify (* 1 1) into 1 11.707 * [backup-simplify]: Simplify (/ 1 1) into 1 11.708 * [backup-simplify]: Simplify (- 1) into -1 11.708 * [backup-simplify]: Simplify -1 into -1 11.708 * [backup-simplify]: Simplify 1 into 1 11.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.710 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 11.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 11.711 * [backup-simplify]: Simplify (- 0) into 0 11.711 * [backup-simplify]: Simplify (+ 0 0) into 0 11.711 * [taylor]: Taking taylor expansion of 0 in n 11.711 * [backup-simplify]: Simplify 0 into 0 11.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.713 * [backup-simplify]: Simplify (- 0) into 0 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify 0 into 0 11.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.717 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 11.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 11.718 * [backup-simplify]: Simplify (- 0) into 0 11.718 * [backup-simplify]: Simplify (+ 0 0) into 0 11.718 * [taylor]: Taking taylor expansion of 0 in n 11.718 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.721 * [backup-simplify]: Simplify (- 0) into 0 11.721 * [backup-simplify]: Simplify 0 into 0 11.721 * [backup-simplify]: Simplify 0 into 0 11.721 * [backup-simplify]: Simplify 0 into 0 11.721 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 11.722 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 11.722 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 11.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 11.722 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 11.722 * [taylor]: Taking taylor expansion of (pow f 2) in n 11.722 * [taylor]: Taking taylor expansion of f in n 11.722 * [backup-simplify]: Simplify f into f 11.722 * [backup-simplify]: Simplify (* f f) into (pow f 2) 11.722 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 11.722 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.722 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.722 * [taylor]: Taking taylor expansion of n in n 11.722 * [backup-simplify]: Simplify 0 into 0 11.722 * [backup-simplify]: Simplify 1 into 1 11.723 * [backup-simplify]: Simplify (* 1 1) into 1 11.723 * [backup-simplify]: Simplify (/ 1 1) into 1 11.723 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 11.723 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.723 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.723 * [taylor]: Taking taylor expansion of f in f 11.723 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify 1 into 1 11.724 * [backup-simplify]: Simplify (* 1 1) into 1 11.724 * [backup-simplify]: Simplify (/ 1 1) into 1 11.724 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.724 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.724 * [taylor]: Taking taylor expansion of n in f 11.724 * [backup-simplify]: Simplify n into n 11.724 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.725 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 11.725 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.725 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.725 * [taylor]: Taking taylor expansion of f in f 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 1 into 1 11.725 * [backup-simplify]: Simplify (* 1 1) into 1 11.726 * [backup-simplify]: Simplify (/ 1 1) into 1 11.726 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 11.726 * [taylor]: Taking taylor expansion of (pow n 2) in f 11.726 * [taylor]: Taking taylor expansion of n in f 11.726 * [backup-simplify]: Simplify n into n 11.726 * [backup-simplify]: Simplify (* n n) into (pow n 2) 11.726 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 11.726 * [backup-simplify]: Simplify (+ 1 0) into 1 11.726 * [taylor]: Taking taylor expansion of 1 in n 11.726 * [backup-simplify]: Simplify 1 into 1 11.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.728 * [backup-simplify]: Simplify (+ 0 0) into 0 11.728 * [taylor]: Taking taylor expansion of 0 in n 11.728 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.731 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.731 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 11.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 11.731 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.731 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.731 * [taylor]: Taking taylor expansion of n in n 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.732 * [backup-simplify]: Simplify (* 1 1) into 1 11.732 * [backup-simplify]: Simplify (/ 1 1) into 1 11.732 * [backup-simplify]: Simplify (- 1) into -1 11.732 * [backup-simplify]: Simplify -1 into -1 11.732 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.735 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 11.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 11.735 * [backup-simplify]: Simplify (- 0) into 0 11.736 * [backup-simplify]: Simplify (+ 0 0) into 0 11.736 * [taylor]: Taking taylor expansion of 0 in n 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.738 * [backup-simplify]: Simplify (- 0) into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.740 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 11.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 11.741 * [backup-simplify]: Simplify (- 0) into 0 11.742 * [backup-simplify]: Simplify (+ 0 0) into 0 11.742 * [taylor]: Taking taylor expansion of 0 in n 11.742 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.744 * [backup-simplify]: Simplify (- 0) into 0 11.744 * [backup-simplify]: Simplify 0 into 0 11.744 * [backup-simplify]: Simplify 0 into 0 11.744 * [backup-simplify]: Simplify 0 into 0 11.745 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 11.745 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 11.745 * [backup-simplify]: Simplify (* (- f n) (- f n)) into (pow (- f n) 2) 11.745 * [approximate]: Taking taylor expansion of (pow (- f n) 2) in (f n) around 0 11.745 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 11.745 * [taylor]: Taking taylor expansion of (- f n) in n 11.745 * [taylor]: Taking taylor expansion of f in n 11.745 * [backup-simplify]: Simplify f into f 11.745 * [taylor]: Taking taylor expansion of n in n 11.745 * [backup-simplify]: Simplify 0 into 0 11.745 * [backup-simplify]: Simplify 1 into 1 11.746 * [backup-simplify]: Simplify (- 0) into 0 11.746 * [backup-simplify]: Simplify (+ f 0) into f 11.746 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 11.746 * [taylor]: Taking taylor expansion of (- f n) in f 11.746 * [taylor]: Taking taylor expansion of f in f 11.746 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify 1 into 1 11.746 * [taylor]: Taking taylor expansion of n in f 11.746 * [backup-simplify]: Simplify n into n 11.746 * [backup-simplify]: Simplify (- n) into (- n) 11.746 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.746 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 11.746 * [taylor]: Taking taylor expansion of (- f n) in f 11.746 * [taylor]: Taking taylor expansion of f in f 11.746 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify 1 into 1 11.746 * [taylor]: Taking taylor expansion of n in f 11.746 * [backup-simplify]: Simplify n into n 11.747 * [backup-simplify]: Simplify (- n) into (- n) 11.747 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.747 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 11.747 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.747 * [taylor]: Taking taylor expansion of n in n 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 1 into 1 11.747 * [backup-simplify]: Simplify (- 0) into 0 11.748 * [backup-simplify]: Simplify (+ 1 0) into 1 11.748 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 11.748 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 11.748 * [taylor]: Taking taylor expansion of (* 2 n) in n 11.748 * [taylor]: Taking taylor expansion of 2 in n 11.748 * [backup-simplify]: Simplify 2 into 2 11.748 * [taylor]: Taking taylor expansion of n in n 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify 1 into 1 11.749 * [backup-simplify]: Simplify (* 2 0) into 0 11.749 * [backup-simplify]: Simplify (- 0) into 0 11.749 * [backup-simplify]: Simplify 0 into 0 11.749 * [backup-simplify]: Simplify (- 0) into 0 11.750 * [backup-simplify]: Simplify (+ 0 0) into 0 11.750 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 11.750 * [taylor]: Taking taylor expansion of 1 in n 11.750 * [backup-simplify]: Simplify 1 into 1 11.750 * [backup-simplify]: Simplify 1 into 1 11.751 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 11.751 * [backup-simplify]: Simplify (- 2) into -2 11.752 * [backup-simplify]: Simplify -2 into -2 11.752 * [backup-simplify]: Simplify (* 1 1) into 1 11.752 * [backup-simplify]: Simplify 1 into 1 11.753 * [backup-simplify]: Simplify (+ (* 1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 11.753 * [backup-simplify]: Simplify (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (pow (- (/ 1 f) (/ 1 n)) 2) 11.753 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in (f n) around 0 11.753 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 11.753 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.753 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.753 * [taylor]: Taking taylor expansion of f in n 11.753 * [backup-simplify]: Simplify f into f 11.753 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.753 * [taylor]: Taking taylor expansion of n in n 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.754 * [backup-simplify]: Simplify (/ 1 1) into 1 11.754 * [backup-simplify]: Simplify (- 1) into -1 11.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.755 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 11.755 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.755 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.755 * [taylor]: Taking taylor expansion of f in f 11.755 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [backup-simplify]: Simplify (/ 1 1) into 1 11.755 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.755 * [taylor]: Taking taylor expansion of n in f 11.755 * [backup-simplify]: Simplify n into n 11.755 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.756 * [backup-simplify]: Simplify (+ 1 0) into 1 11.756 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 11.756 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.756 * [taylor]: Taking taylor expansion of f in f 11.756 * [backup-simplify]: Simplify 0 into 0 11.756 * [backup-simplify]: Simplify 1 into 1 11.756 * [backup-simplify]: Simplify (/ 1 1) into 1 11.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.756 * [taylor]: Taking taylor expansion of n in f 11.756 * [backup-simplify]: Simplify n into n 11.757 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.757 * [backup-simplify]: Simplify (+ 1 0) into 1 11.757 * [backup-simplify]: Simplify (* 1 1) into 1 11.758 * [taylor]: Taking taylor expansion of 1 in n 11.758 * [backup-simplify]: Simplify 1 into 1 11.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.759 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.759 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.759 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 11.759 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.759 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.759 * [taylor]: Taking taylor expansion of 2 in n 11.759 * [backup-simplify]: Simplify 2 into 2 11.759 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.759 * [taylor]: Taking taylor expansion of n in n 11.759 * [backup-simplify]: Simplify 0 into 0 11.759 * [backup-simplify]: Simplify 1 into 1 11.760 * [backup-simplify]: Simplify (/ 1 1) into 1 11.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.761 * [backup-simplify]: Simplify (- 0) into 0 11.762 * [backup-simplify]: Simplify (+ 0 0) into 0 11.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 11.763 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.763 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.763 * [taylor]: Taking taylor expansion of n in n 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.763 * [backup-simplify]: Simplify (* 1 1) into 1 11.764 * [backup-simplify]: Simplify (/ 1 1) into 1 11.764 * [backup-simplify]: Simplify 1 into 1 11.764 * [backup-simplify]: Simplify (* 2 1) into 2 11.765 * [backup-simplify]: Simplify (- 2) into -2 11.765 * [backup-simplify]: Simplify -2 into -2 11.765 * [backup-simplify]: Simplify 1 into 1 11.772 * [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) (pow n 2)) (* 2 (* n f))) 11.772 * [backup-simplify]: Simplify (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (pow (- (/ 1 n) (/ 1 f)) 2) 11.772 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in (f n) around 0 11.772 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 11.772 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 11.772 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.772 * [taylor]: Taking taylor expansion of n in n 11.772 * [backup-simplify]: Simplify 0 into 0 11.772 * [backup-simplify]: Simplify 1 into 1 11.773 * [backup-simplify]: Simplify (/ 1 1) into 1 11.773 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.773 * [taylor]: Taking taylor expansion of f in n 11.773 * [backup-simplify]: Simplify f into f 11.773 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.773 * [backup-simplify]: Simplify (+ 1 0) into 1 11.773 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 11.774 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.774 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.774 * [taylor]: Taking taylor expansion of n in f 11.774 * [backup-simplify]: Simplify n into n 11.774 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.774 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.774 * [taylor]: Taking taylor expansion of f in f 11.774 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (/ 1 1) into 1 11.775 * [backup-simplify]: Simplify (- 1) into -1 11.775 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.775 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 11.775 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 11.775 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.775 * [taylor]: Taking taylor expansion of n in f 11.775 * [backup-simplify]: Simplify n into n 11.775 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.775 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.775 * [taylor]: Taking taylor expansion of f in f 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (/ 1 1) into 1 11.776 * [backup-simplify]: Simplify (- 1) into -1 11.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.777 * [backup-simplify]: Simplify (* -1 -1) into 1 11.777 * [taylor]: Taking taylor expansion of 1 in n 11.777 * [backup-simplify]: Simplify 1 into 1 11.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.778 * [backup-simplify]: Simplify (- 0) into 0 11.778 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 11.779 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 11.779 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.779 * [taylor]: Taking taylor expansion of 2 in n 11.779 * [backup-simplify]: Simplify 2 into 2 11.779 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.779 * [taylor]: Taking taylor expansion of n in n 11.779 * [backup-simplify]: Simplify 0 into 0 11.779 * [backup-simplify]: Simplify 1 into 1 11.779 * [backup-simplify]: Simplify (/ 1 1) into 1 11.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.781 * [backup-simplify]: Simplify (- 0) into 0 11.781 * [backup-simplify]: Simplify (+ 0 0) into 0 11.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 11.782 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.782 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.782 * [taylor]: Taking taylor expansion of n in n 11.782 * [backup-simplify]: Simplify 0 into 0 11.782 * [backup-simplify]: Simplify 1 into 1 11.783 * [backup-simplify]: Simplify (* 1 1) into 1 11.783 * [backup-simplify]: Simplify (/ 1 1) into 1 11.783 * [backup-simplify]: Simplify 1 into 1 11.784 * [backup-simplify]: Simplify (* 2 1) into 2 11.784 * [backup-simplify]: Simplify (- 2) into -2 11.784 * [backup-simplify]: Simplify -2 into -2 11.784 * [backup-simplify]: Simplify 1 into 1 11.785 * [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) (pow n 2)) (* 2 (* n f))) 11.785 * * * [progress]: simplifying candidates 11.788 * [simplify]: Simplifying: (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (+ 1 1) (* (- f n) (- f n)) (+ 1 1) (+ (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))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3))) (* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n)))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n))) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (- (* f f) (* n n)) (- (* f f) (* n n))) (* (+ 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)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) (* 1 1) (* (- f n) (- f n)) (* 1 1) (* (- f n) (- f n)) (* (sqrt (- f n)) (sqrt (- f n))) (* (sqrt (- f n)) (sqrt (- f n))) (* 2 1) (* (- f n) f) (* (- f n) (- n)) (* (- f n) f) (* (- f n) (- 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) 1) (* (- f n) (+ (sqrt f) (sqrt n))) (* (- f n) 1) (* (cbrt (- f n)) (- f n)) (* (sqrt (- f n)) (- f n)) (* (- f n) (- f n)) (* (- (sqrt f) (sqrt n)) (- f n)) (* (- f n) (- f n)) (* (- f n) (- (pow f 3) (pow n 3))) (* (- f n) (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n)) (* (- (* f f) (* n n)) (- f n)) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 11.793 * * [simplify]: iteration 0: 163 enodes 11.897 * * [simplify]: iteration 1: 493 enodes 12.253 * * [simplify]: iteration 2: 1496 enodes 13.517 * * [simplify]: iteration complete: 5008 enodes 13.517 * * [simplify]: Extracting #0: cost 83 inf + 0 13.520 * * [simplify]: Extracting #1: cost 768 inf + 4 13.529 * * [simplify]: Extracting #2: cost 1871 inf + 981 13.549 * * [simplify]: Extracting #3: cost 1889 inf + 39155 13.642 * * [simplify]: Extracting #4: cost 541 inf + 297973 14.202 * * [simplify]: Extracting #5: cost 79 inf + 411987 14.346 * * [simplify]: Extracting #6: cost 14 inf + 419429 14.500 * * [simplify]: Extracting #7: cost 0 inf + 423370 14.650 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (- (* (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (* (+ f n) (- f n)) (- (* (- f n) (- f n))) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (* (+ f n) (- (- f n)))) (cbrt (* (+ f n) (- (- f n))))) (- f n)) (/ (cbrt (* (+ f n) (- (- f n)))) (- f n)) (/ (sqrt (* (+ f n) (- (- f n)))) (- f n)) (/ (sqrt (* (+ f n) (- (- f n)))) (- f n)) (/ 1 (- f n)) (- (+ n f)) (/ -1 (- f n)) (+ f n) (/ (* (cbrt (* (+ f n) (- f n))) (- (cbrt (* (+ f n) (- f n))))) (- f n)) (/ (cbrt (* (+ f n) (- f n))) (- f n)) (- (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ (sqrt (* (+ f n) (- f n))) (- f n)) (/ -1 (- f n)) (+ f n) (/ (- (+ f n)) (- f n)) 1 (/ (cbrt (* (+ f n) (- f n))) (/ (- f n) (cbrt (* (+ f n) (- f n))))) (/ (- (cbrt (* (+ f n) (- f n)))) (- f n)) (/ (sqrt (* (+ f n) (- f n))) (- f n)) (- (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ 1 (- f n)) (- (+ n f)) (/ (+ f n) (- f n)) -1 (/ 1 (* (- f n) (- f n))) (/ (- f n) (- (+ n f))) (/ (+ f n) (- f n)) (- (+ n f)) (* (/ (- f n) (cbrt (* (+ f n) (- (- f n))))) (- f n)) (/ (- f n) (/ (sqrt (* (+ f n) (- (- f n)))) (- f n))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ f n)) (/ (* (- f n) (- f n)) (cbrt (* (+ f n) (- f n)))) (/ (- f n) (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ (- f n) (+ f n)) (- f n) (/ (* (- f n) (- f n)) (- (cbrt (* (+ f n) (- f n))))) (/ (- f n) (- (/ (sqrt (* (+ f n) (- f n))) (- f n)))) (/ (- f n) (- (+ n f))) (/ (- f n) -1) (/ (- (- (/ (* f f) (- (* (* f f) f) (* (* n n) n))) (/ (* n n) (- (* (* f f) f) (* (* n n) n))))) (- (* (* f f) f) (* (* n n) n))) (/ (- 1) (- (* (* f f) f) (* (* n n) n))) (/ (- 1) (- (* (* f f) f) (* (* n n) n))) (- (/ 1 (* (+ f n) (- f n)))) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (/ (- 1) (- f n)) (/ (- (+ n f)) (- (* (* f f) f) (* (* n n) n))) (/ (- 1) (- f n)) (* (* (- f n) (- f n)) (+ (* (* n n) (+ (* f f) (* n n))) (* (* f f) (* f f)))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (exp (- (* f f) (* n n))) (log (* (+ f n) (- f n))) (exp (- (* f f) (* n 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 f) (* (* f f) (* f f))) (* (* (* n n) (* n n)) (* n n))) (+ (* (* n n) (+ (* f f) (* n n))) (* (* f f) (* f f))) (* n (- n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (* n (- n)) 2 (* (- f n) (- f n)) 2 (log (* (- f n) (- 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))) (fabs (- f n)) (fabs (- f n)) (* (- (* (* f f) f) (* (* n n) n)) (- (* (* f f) f) (* (* n n) n))) (* (+ (* n (+ f n)) (* f f)) (+ (* n (+ f n)) (* f f))) (* (- (* (* f f) f) (* (* n n) n)) (* (+ f n) (- f n))) (* (+ (* n (+ f n)) (* f f)) (+ f n)) (* (- (* (* f f) f) (* (* n n) n)) (* (+ f n) (- f n))) (* (+ (* n (+ f n)) (* f f)) (+ f n)) (* (* (+ f n) (- f n)) (* (+ f n) (- f n))) (* (+ f n) (+ f n)) (* (cbrt (- f n)) (- f n)) (* (cbrt (- f n)) (cbrt (- f n))) (- f n) (- f n) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (* (+ (sqrt f) (sqrt n)) (+ (sqrt f) (sqrt n))) (* (- (sqrt f) (sqrt n)) (- (sqrt f) (sqrt n))) 1 (* (- f n) (- f n)) 1 (* (- f n) (- f n)) (- f n) (- f n) 2 (* (- f n) f) (* (- n) (- f n)) (* (- f n) f) (* (- n) (- f n)) (* (- 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) (* (- f n) (+ (sqrt f) (sqrt n))) (- f n) (* (cbrt (- f n)) (- f n)) (* (sqrt (- f n)) (- f n)) (* (- f n) (- f n)) (* (- f n) (- (sqrt f) (sqrt n))) (* (- f n) (- f n)) (* (- f n) (- (* (* f f) f) (* (* n n) n))) (* (- f n) (* (+ f n) (- f n))) (* (- f n) (- (* (* f f) f) (* (* n n) n))) (* (- f n) (* (+ f n) (- f n))) 1 -1 -1 (* (+ f n) (- f n)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) 14.664 * * * [progress]: adding candidates to table 15.316 * * [progress]: iteration 4 / 4 15.316 * * * [progress]: picking best candidate 15.339 * * * * [pick]: Picked # 15.343 * * * [progress]: localizing error 15.389 * * * [progress]: generating rewritten candidates 15.389 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 15.630 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 15.669 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 15.686 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 15.773 * * * [progress]: generating series expansions 15.773 * * * * [progress]: [ 1 / 4 ] generating series at (2) 15.774 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) into (/ (- (pow n 2) (pow f 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f)))) 15.774 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f)))) in (f n) around 0 15.774 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f)))) in n 15.774 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 15.774 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.774 * [taylor]: Taking taylor expansion of n in n 15.774 * [backup-simplify]: Simplify 0 into 0 15.774 * [backup-simplify]: Simplify 1 into 1 15.774 * [taylor]: Taking taylor expansion of (pow f 2) in n 15.774 * [taylor]: Taking taylor expansion of f in n 15.774 * [backup-simplify]: Simplify f into f 15.775 * [taylor]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in n 15.775 * [taylor]: Taking taylor expansion of (+ (pow f 2) (pow n 2)) in n 15.775 * [taylor]: Taking taylor expansion of (pow f 2) in n 15.775 * [taylor]: Taking taylor expansion of f in n 15.775 * [backup-simplify]: Simplify f into f 15.775 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.775 * [taylor]: Taking taylor expansion of n in n 15.775 * [backup-simplify]: Simplify 0 into 0 15.775 * [backup-simplify]: Simplify 1 into 1 15.775 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in n 15.775 * [taylor]: Taking taylor expansion of 2 in n 15.775 * [backup-simplify]: Simplify 2 into 2 15.775 * [taylor]: Taking taylor expansion of (* n f) in n 15.775 * [taylor]: Taking taylor expansion of n in n 15.775 * [backup-simplify]: Simplify 0 into 0 15.775 * [backup-simplify]: Simplify 1 into 1 15.775 * [taylor]: Taking taylor expansion of f in n 15.775 * [backup-simplify]: Simplify f into f 15.775 * [backup-simplify]: Simplify (* f f) into (pow f 2) 15.775 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 15.775 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 15.776 * [backup-simplify]: Simplify (* f f) into (pow f 2) 15.776 * [backup-simplify]: Simplify (+ (pow f 2) 0) into (pow f 2) 15.776 * [backup-simplify]: Simplify (* 0 f) into 0 15.777 * [backup-simplify]: Simplify (* 2 0) into 0 15.777 * [backup-simplify]: Simplify (- 0) into 0 15.777 * [backup-simplify]: Simplify (+ (pow f 2) 0) into (pow f 2) 15.777 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 15.777 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f)))) in f 15.777 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 15.778 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.778 * [taylor]: Taking taylor expansion of n in f 15.778 * [backup-simplify]: Simplify n into n 15.778 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.778 * [taylor]: Taking taylor expansion of f in f 15.778 * [backup-simplify]: Simplify 0 into 0 15.778 * [backup-simplify]: Simplify 1 into 1 15.778 * [taylor]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in f 15.778 * [taylor]: Taking taylor expansion of (+ (pow f 2) (pow n 2)) in f 15.778 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.778 * [taylor]: Taking taylor expansion of f in f 15.778 * [backup-simplify]: Simplify 0 into 0 15.778 * [backup-simplify]: Simplify 1 into 1 15.778 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.778 * [taylor]: Taking taylor expansion of n in f 15.778 * [backup-simplify]: Simplify n into n 15.778 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in f 15.778 * [taylor]: Taking taylor expansion of 2 in f 15.778 * [backup-simplify]: Simplify 2 into 2 15.778 * [taylor]: Taking taylor expansion of (* n f) in f 15.778 * [taylor]: Taking taylor expansion of n in f 15.778 * [backup-simplify]: Simplify n into n 15.778 * [taylor]: Taking taylor expansion of f in f 15.778 * [backup-simplify]: Simplify 0 into 0 15.778 * [backup-simplify]: Simplify 1 into 1 15.778 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.778 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 15.779 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.779 * [backup-simplify]: Simplify (+ 0 (pow n 2)) into (pow n 2) 15.779 * [backup-simplify]: Simplify (* n 0) into 0 15.779 * [backup-simplify]: Simplify (* 2 0) into 0 15.780 * [backup-simplify]: Simplify (- 0) into 0 15.780 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 15.780 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 15.780 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f)))) in f 15.780 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 15.780 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.780 * [taylor]: Taking taylor expansion of n in f 15.780 * [backup-simplify]: Simplify n into n 15.780 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.780 * [taylor]: Taking taylor expansion of f in f 15.780 * [backup-simplify]: Simplify 0 into 0 15.780 * [backup-simplify]: Simplify 1 into 1 15.780 * [taylor]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in f 15.780 * [taylor]: Taking taylor expansion of (+ (pow f 2) (pow n 2)) in f 15.780 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.780 * [taylor]: Taking taylor expansion of f in f 15.780 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 1 into 1 15.781 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.781 * [taylor]: Taking taylor expansion of n in f 15.781 * [backup-simplify]: Simplify n into n 15.781 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in f 15.781 * [taylor]: Taking taylor expansion of 2 in f 15.781 * [backup-simplify]: Simplify 2 into 2 15.781 * [taylor]: Taking taylor expansion of (* n f) in f 15.781 * [taylor]: Taking taylor expansion of n in f 15.781 * [backup-simplify]: Simplify n into n 15.781 * [taylor]: Taking taylor expansion of f in f 15.781 * [backup-simplify]: Simplify 0 into 0 15.781 * [backup-simplify]: Simplify 1 into 1 15.781 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.781 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 15.781 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.781 * [backup-simplify]: Simplify (+ 0 (pow n 2)) into (pow n 2) 15.781 * [backup-simplify]: Simplify (* n 0) into 0 15.782 * [backup-simplify]: Simplify (* 2 0) into 0 15.782 * [backup-simplify]: Simplify (- 0) into 0 15.782 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 15.783 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 15.783 * [taylor]: Taking taylor expansion of 1 in n 15.783 * [backup-simplify]: Simplify 1 into 1 15.783 * [backup-simplify]: Simplify 1 into 1 15.783 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 15.784 * [backup-simplify]: Simplify (+ 0 0) into 0 15.784 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 15.784 * [backup-simplify]: Simplify (+ 0 0) into 0 15.785 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 15.785 * [backup-simplify]: Simplify (+ (* 2 n) (* 0 0)) into (* 2 n) 15.785 * [backup-simplify]: Simplify (- (* 2 n)) into (- (* 2 n)) 15.785 * [backup-simplify]: Simplify (+ 0 (- (* 2 n))) into (- (* 2 n)) 15.786 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 15.786 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 15.786 * [taylor]: Taking taylor expansion of 2 in n 15.786 * [backup-simplify]: Simplify 2 into 2 15.786 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.786 * [taylor]: Taking taylor expansion of n in n 15.786 * [backup-simplify]: Simplify 0 into 0 15.786 * [backup-simplify]: Simplify 1 into 1 15.787 * [backup-simplify]: Simplify (/ 1 1) into 1 15.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.788 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 15.788 * [backup-simplify]: Simplify 0 into 0 15.788 * [backup-simplify]: Simplify 0 into 0 15.789 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 15.789 * [backup-simplify]: Simplify (* 1 1) into 1 15.790 * [backup-simplify]: Simplify (- 1) into -1 15.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.790 * [backup-simplify]: Simplify (* 1 1) into 1 15.791 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 15.791 * [backup-simplify]: Simplify (+ 1 0) into 1 15.792 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 15.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 n) (* 0 0))) into 0 15.793 * [backup-simplify]: Simplify (- 0) into 0 15.794 * [backup-simplify]: Simplify (+ 1 0) into 1 15.794 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 15.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 15.794 * [taylor]: Taking taylor expansion of 2 in n 15.794 * [backup-simplify]: Simplify 2 into 2 15.794 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.795 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.795 * [taylor]: Taking taylor expansion of n in n 15.795 * [backup-simplify]: Simplify 0 into 0 15.795 * [backup-simplify]: Simplify 1 into 1 15.795 * [backup-simplify]: Simplify (* 1 1) into 1 15.796 * [backup-simplify]: Simplify (/ 1 1) into 1 15.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.800 * [backup-simplify]: Simplify 0 into 0 15.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.802 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 15.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.804 * [backup-simplify]: Simplify (- 0) into 0 15.805 * [backup-simplify]: Simplify (+ 0 0) into 0 15.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.806 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 15.807 * [backup-simplify]: Simplify (+ 0 0) into 0 15.808 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 15.809 * [backup-simplify]: Simplify (- 0) into 0 15.810 * [backup-simplify]: Simplify (+ 0 0) into 0 15.811 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 15.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 15.811 * [taylor]: Taking taylor expansion of 2 in n 15.811 * [backup-simplify]: Simplify 2 into 2 15.811 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 15.811 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.811 * [taylor]: Taking taylor expansion of n in n 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 1 into 1 15.811 * [backup-simplify]: Simplify (* 1 1) into 1 15.812 * [backup-simplify]: Simplify (* 1 1) into 1 15.812 * [backup-simplify]: Simplify (/ 1 1) into 1 15.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.829 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify 1 into 1 15.830 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (+ (* (/ 1 f) (/ 1 f)) (- (* (/ 1 n) (/ 1 n)) (+ (* (/ 1 f) (/ 1 n)) (* (/ 1 f) (/ 1 n)))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) 15.830 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in (f n) around 0 15.830 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in n 15.830 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 15.830 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.830 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.830 * [taylor]: Taking taylor expansion of n in n 15.830 * [backup-simplify]: Simplify 0 into 0 15.830 * [backup-simplify]: Simplify 1 into 1 15.831 * [backup-simplify]: Simplify (* 1 1) into 1 15.832 * [backup-simplify]: Simplify (/ 1 1) into 1 15.832 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 15.832 * [taylor]: Taking taylor expansion of (pow f 2) in n 15.832 * [taylor]: Taking taylor expansion of f in n 15.832 * [backup-simplify]: Simplify f into f 15.832 * [backup-simplify]: Simplify (* f f) into (pow f 2) 15.832 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 15.832 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in n 15.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 15.832 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.832 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.833 * [taylor]: Taking taylor expansion of n in n 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 1 into 1 15.833 * [backup-simplify]: Simplify (* 1 1) into 1 15.834 * [backup-simplify]: Simplify (/ 1 1) into 1 15.834 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 15.834 * [taylor]: Taking taylor expansion of (pow f 2) in n 15.834 * [taylor]: Taking taylor expansion of f in n 15.834 * [backup-simplify]: Simplify f into f 15.834 * [backup-simplify]: Simplify (* f f) into (pow f 2) 15.834 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 15.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 15.834 * [taylor]: Taking taylor expansion of 2 in n 15.834 * [backup-simplify]: Simplify 2 into 2 15.834 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 15.834 * [taylor]: Taking taylor expansion of (* n f) in n 15.834 * [taylor]: Taking taylor expansion of n in n 15.834 * [backup-simplify]: Simplify 0 into 0 15.834 * [backup-simplify]: Simplify 1 into 1 15.834 * [taylor]: Taking taylor expansion of f in n 15.834 * [backup-simplify]: Simplify f into f 15.835 * [backup-simplify]: Simplify (* 0 f) into 0 15.835 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 15.835 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.836 * [backup-simplify]: Simplify (+ 1 0) into 1 15.836 * [backup-simplify]: Simplify (+ 1 0) into 1 15.837 * [backup-simplify]: Simplify (+ 1 0) into 1 15.837 * [backup-simplify]: Simplify (/ 1 1) into 1 15.837 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in f 15.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.837 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.837 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.837 * [taylor]: Taking taylor expansion of n in f 15.837 * [backup-simplify]: Simplify n into n 15.837 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.838 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.838 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.838 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.838 * [taylor]: Taking taylor expansion of f in f 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 1 into 1 15.838 * [backup-simplify]: Simplify (* 1 1) into 1 15.838 * [backup-simplify]: Simplify (/ 1 1) into 1 15.839 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 15.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.839 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.839 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.839 * [taylor]: Taking taylor expansion of n in f 15.839 * [backup-simplify]: Simplify n into n 15.839 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.839 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.839 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.839 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.839 * [taylor]: Taking taylor expansion of f in f 15.839 * [backup-simplify]: Simplify 0 into 0 15.839 * [backup-simplify]: Simplify 1 into 1 15.840 * [backup-simplify]: Simplify (* 1 1) into 1 15.840 * [backup-simplify]: Simplify (/ 1 1) into 1 15.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 15.840 * [taylor]: Taking taylor expansion of 2 in f 15.840 * [backup-simplify]: Simplify 2 into 2 15.841 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 15.841 * [taylor]: Taking taylor expansion of (* n f) in f 15.841 * [taylor]: Taking taylor expansion of n in f 15.841 * [backup-simplify]: Simplify n into n 15.841 * [taylor]: Taking taylor expansion of f in f 15.841 * [backup-simplify]: Simplify 0 into 0 15.841 * [backup-simplify]: Simplify 1 into 1 15.841 * [backup-simplify]: Simplify (* n 0) into 0 15.841 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 15.841 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.842 * [backup-simplify]: Simplify (- 1) into -1 15.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.843 * [backup-simplify]: Simplify (+ 0 1) into 1 15.843 * [backup-simplify]: Simplify (+ 1 0) into 1 15.844 * [backup-simplify]: Simplify (/ -1 1) into -1 15.844 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in f 15.844 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.844 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.844 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.844 * [taylor]: Taking taylor expansion of n in f 15.844 * [backup-simplify]: Simplify n into n 15.844 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.844 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.844 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.844 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.844 * [taylor]: Taking taylor expansion of f in f 15.844 * [backup-simplify]: Simplify 0 into 0 15.844 * [backup-simplify]: Simplify 1 into 1 15.845 * [backup-simplify]: Simplify (* 1 1) into 1 15.845 * [backup-simplify]: Simplify (/ 1 1) into 1 15.845 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 15.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.846 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.846 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.846 * [taylor]: Taking taylor expansion of n in f 15.846 * [backup-simplify]: Simplify n into n 15.846 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.846 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.846 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.846 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.846 * [taylor]: Taking taylor expansion of f in f 15.846 * [backup-simplify]: Simplify 0 into 0 15.846 * [backup-simplify]: Simplify 1 into 1 15.847 * [backup-simplify]: Simplify (* 1 1) into 1 15.847 * [backup-simplify]: Simplify (/ 1 1) into 1 15.848 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 15.848 * [taylor]: Taking taylor expansion of 2 in f 15.848 * [backup-simplify]: Simplify 2 into 2 15.848 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 15.848 * [taylor]: Taking taylor expansion of (* n f) in f 15.848 * [taylor]: Taking taylor expansion of n in f 15.848 * [backup-simplify]: Simplify n into n 15.848 * [taylor]: Taking taylor expansion of f in f 15.848 * [backup-simplify]: Simplify 0 into 0 15.848 * [backup-simplify]: Simplify 1 into 1 15.848 * [backup-simplify]: Simplify (* n 0) into 0 15.848 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 15.849 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.849 * [backup-simplify]: Simplify (- 1) into -1 15.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.850 * [backup-simplify]: Simplify (+ 0 1) into 1 15.850 * [backup-simplify]: Simplify (+ 1 0) into 1 15.851 * [backup-simplify]: Simplify (/ -1 1) into -1 15.851 * [taylor]: Taking taylor expansion of -1 in n 15.851 * [backup-simplify]: Simplify -1 into -1 15.851 * [backup-simplify]: Simplify -1 into -1 15.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.853 * [backup-simplify]: Simplify (- 0) into 0 15.853 * [backup-simplify]: Simplify (+ 0 0) into 0 15.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.855 * [backup-simplify]: Simplify (+ 0 0) into 0 15.856 * [backup-simplify]: Simplify (* 2 (/ 1 n)) into (/ 2 n) 15.856 * [backup-simplify]: Simplify (- (/ 2 n)) into (- (* 2 (/ 1 n))) 15.856 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 15.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 15.857 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 15.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 15.857 * [taylor]: Taking taylor expansion of 2 in n 15.857 * [backup-simplify]: Simplify 2 into 2 15.857 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.857 * [taylor]: Taking taylor expansion of n in n 15.857 * [backup-simplify]: Simplify 0 into 0 15.857 * [backup-simplify]: Simplify 1 into 1 15.857 * [backup-simplify]: Simplify (/ 1 1) into 1 15.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 15.859 * [backup-simplify]: Simplify (- 0) into 0 15.859 * [backup-simplify]: Simplify 0 into 0 15.859 * [backup-simplify]: Simplify 0 into 0 15.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.862 * [backup-simplify]: Simplify (- 0) into 0 15.862 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 15.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.864 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 15.865 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 15.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.866 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 n))) into 0 15.866 * [backup-simplify]: Simplify (- 0) into 0 15.866 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 15.867 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 15.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 15.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 15.867 * [taylor]: Taking taylor expansion of 2 in n 15.867 * [backup-simplify]: Simplify 2 into 2 15.867 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.867 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.867 * [taylor]: Taking taylor expansion of n in n 15.867 * [backup-simplify]: Simplify 0 into 0 15.867 * [backup-simplify]: Simplify 1 into 1 15.868 * [backup-simplify]: Simplify (* 1 1) into 1 15.869 * [backup-simplify]: Simplify (/ 1 1) into 1 15.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.874 * [backup-simplify]: Simplify (- 0) into 0 15.874 * [backup-simplify]: Simplify 0 into 0 15.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.876 * [backup-simplify]: Simplify (- 0) into 0 15.876 * [backup-simplify]: Simplify 0 into 0 15.877 * [backup-simplify]: Simplify 0 into 0 15.877 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 15.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 15.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.880 * [backup-simplify]: Simplify (- 0) into 0 15.880 * [backup-simplify]: Simplify (+ 0 0) into 0 15.881 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 15.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 15.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.884 * [backup-simplify]: Simplify (+ 0 0) into 0 15.884 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 15.886 * [backup-simplify]: Simplify (- 0) into 0 15.886 * [backup-simplify]: Simplify (+ 0 0) into 0 15.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 15.888 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 15.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 15.888 * [taylor]: Taking taylor expansion of 2 in n 15.888 * [backup-simplify]: Simplify 2 into 2 15.888 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 15.888 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.888 * [taylor]: Taking taylor expansion of n in n 15.888 * [backup-simplify]: Simplify 0 into 0 15.888 * [backup-simplify]: Simplify 1 into 1 15.889 * [backup-simplify]: Simplify (* 1 1) into 1 15.889 * [backup-simplify]: Simplify (* 1 1) into 1 15.890 * [backup-simplify]: Simplify (/ 1 1) into 1 15.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.900 * [backup-simplify]: Simplify (- 0) into 0 15.900 * [backup-simplify]: Simplify 0 into 0 15.900 * [backup-simplify]: Simplify -1 into -1 15.902 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (+ (* (/ 1 (- f)) (/ 1 (- f))) (- (* (/ 1 (- n)) (/ 1 (- n))) (+ (* (/ 1 (- f)) (/ 1 (- n))) (* (/ 1 (- f)) (/ 1 (- n))))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) 15.902 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in (f n) around 0 15.902 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in n 15.902 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 15.902 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.902 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.902 * [taylor]: Taking taylor expansion of n in n 15.902 * [backup-simplify]: Simplify 0 into 0 15.902 * [backup-simplify]: Simplify 1 into 1 15.902 * [backup-simplify]: Simplify (* 1 1) into 1 15.903 * [backup-simplify]: Simplify (/ 1 1) into 1 15.903 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 15.903 * [taylor]: Taking taylor expansion of (pow f 2) in n 15.903 * [taylor]: Taking taylor expansion of f in n 15.903 * [backup-simplify]: Simplify f into f 15.903 * [backup-simplify]: Simplify (* f f) into (pow f 2) 15.903 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 15.903 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in n 15.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 15.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.903 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.903 * [taylor]: Taking taylor expansion of n in n 15.903 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify 1 into 1 15.904 * [backup-simplify]: Simplify (* 1 1) into 1 15.904 * [backup-simplify]: Simplify (/ 1 1) into 1 15.904 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 15.904 * [taylor]: Taking taylor expansion of (pow f 2) in n 15.904 * [taylor]: Taking taylor expansion of f in n 15.904 * [backup-simplify]: Simplify f into f 15.905 * [backup-simplify]: Simplify (* f f) into (pow f 2) 15.905 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 15.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 15.905 * [taylor]: Taking taylor expansion of 2 in n 15.905 * [backup-simplify]: Simplify 2 into 2 15.905 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 15.905 * [taylor]: Taking taylor expansion of (* n f) in n 15.905 * [taylor]: Taking taylor expansion of n in n 15.905 * [backup-simplify]: Simplify 0 into 0 15.905 * [backup-simplify]: Simplify 1 into 1 15.905 * [taylor]: Taking taylor expansion of f in n 15.905 * [backup-simplify]: Simplify f into f 15.905 * [backup-simplify]: Simplify (* 0 f) into 0 15.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 15.906 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.906 * [backup-simplify]: Simplify (+ 1 0) into 1 15.907 * [backup-simplify]: Simplify (+ 1 0) into 1 15.907 * [backup-simplify]: Simplify (+ 1 0) into 1 15.907 * [backup-simplify]: Simplify (/ 1 1) into 1 15.907 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in f 15.908 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.908 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.908 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.908 * [taylor]: Taking taylor expansion of n in f 15.908 * [backup-simplify]: Simplify n into n 15.908 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.908 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.908 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.908 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.908 * [taylor]: Taking taylor expansion of f in f 15.908 * [backup-simplify]: Simplify 0 into 0 15.908 * [backup-simplify]: Simplify 1 into 1 15.909 * [backup-simplify]: Simplify (* 1 1) into 1 15.909 * [backup-simplify]: Simplify (/ 1 1) into 1 15.909 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 15.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.909 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.909 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.909 * [taylor]: Taking taylor expansion of n in f 15.909 * [backup-simplify]: Simplify n into n 15.909 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.909 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.910 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.910 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.910 * [taylor]: Taking taylor expansion of f in f 15.910 * [backup-simplify]: Simplify 0 into 0 15.910 * [backup-simplify]: Simplify 1 into 1 15.910 * [backup-simplify]: Simplify (* 1 1) into 1 15.911 * [backup-simplify]: Simplify (/ 1 1) into 1 15.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 15.911 * [taylor]: Taking taylor expansion of 2 in f 15.911 * [backup-simplify]: Simplify 2 into 2 15.911 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 15.911 * [taylor]: Taking taylor expansion of (* n f) in f 15.911 * [taylor]: Taking taylor expansion of n in f 15.911 * [backup-simplify]: Simplify n into n 15.911 * [taylor]: Taking taylor expansion of f in f 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 1 into 1 15.911 * [backup-simplify]: Simplify (* n 0) into 0 15.912 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 15.912 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.912 * [backup-simplify]: Simplify (- 1) into -1 15.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.913 * [backup-simplify]: Simplify (+ 0 1) into 1 15.914 * [backup-simplify]: Simplify (+ 1 0) into 1 15.914 * [backup-simplify]: Simplify (/ -1 1) into -1 15.914 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f))))) in f 15.914 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.914 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.914 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.914 * [taylor]: Taking taylor expansion of n in f 15.914 * [backup-simplify]: Simplify n into n 15.914 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.915 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.915 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.915 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.915 * [taylor]: Taking taylor expansion of f in f 15.915 * [backup-simplify]: Simplify 0 into 0 15.915 * [backup-simplify]: Simplify 1 into 1 15.915 * [backup-simplify]: Simplify (* 1 1) into 1 15.916 * [backup-simplify]: Simplify (/ 1 1) into 1 15.916 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 15.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 15.916 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.916 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.916 * [taylor]: Taking taylor expansion of n in f 15.916 * [backup-simplify]: Simplify n into n 15.916 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.916 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.916 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 15.916 * [taylor]: Taking taylor expansion of (pow f 2) in f 15.916 * [taylor]: Taking taylor expansion of f in f 15.916 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify 1 into 1 15.917 * [backup-simplify]: Simplify (* 1 1) into 1 15.917 * [backup-simplify]: Simplify (/ 1 1) into 1 15.917 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 15.917 * [taylor]: Taking taylor expansion of 2 in f 15.917 * [backup-simplify]: Simplify 2 into 2 15.917 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 15.917 * [taylor]: Taking taylor expansion of (* n f) in f 15.917 * [taylor]: Taking taylor expansion of n in f 15.917 * [backup-simplify]: Simplify n into n 15.917 * [taylor]: Taking taylor expansion of f in f 15.917 * [backup-simplify]: Simplify 0 into 0 15.917 * [backup-simplify]: Simplify 1 into 1 15.918 * [backup-simplify]: Simplify (* n 0) into 0 15.918 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 15.918 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.918 * [backup-simplify]: Simplify (- 1) into -1 15.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.919 * [backup-simplify]: Simplify (+ 0 1) into 1 15.920 * [backup-simplify]: Simplify (+ 1 0) into 1 15.920 * [backup-simplify]: Simplify (/ -1 1) into -1 15.920 * [taylor]: Taking taylor expansion of -1 in n 15.920 * [backup-simplify]: Simplify -1 into -1 15.920 * [backup-simplify]: Simplify -1 into -1 15.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.922 * [backup-simplify]: Simplify (- 0) into 0 15.922 * [backup-simplify]: Simplify (+ 0 0) into 0 15.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.924 * [backup-simplify]: Simplify (+ 0 0) into 0 15.924 * [backup-simplify]: Simplify (* 2 (/ 1 n)) into (/ 2 n) 15.924 * [backup-simplify]: Simplify (- (/ 2 n)) into (- (* 2 (/ 1 n))) 15.924 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 15.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 15.925 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 15.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 15.925 * [taylor]: Taking taylor expansion of 2 in n 15.925 * [backup-simplify]: Simplify 2 into 2 15.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.925 * [taylor]: Taking taylor expansion of n in n 15.925 * [backup-simplify]: Simplify 0 into 0 15.925 * [backup-simplify]: Simplify 1 into 1 15.926 * [backup-simplify]: Simplify (/ 1 1) into 1 15.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 15.927 * [backup-simplify]: Simplify (- 0) into 0 15.927 * [backup-simplify]: Simplify 0 into 0 15.927 * [backup-simplify]: Simplify 0 into 0 15.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.930 * [backup-simplify]: Simplify (- 0) into 0 15.930 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 15.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.932 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 15.933 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 15.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 n))) into 0 15.934 * [backup-simplify]: Simplify (- 0) into 0 15.934 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 15.935 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 15.935 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 15.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 15.935 * [taylor]: Taking taylor expansion of 2 in n 15.935 * [backup-simplify]: Simplify 2 into 2 15.935 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.935 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.935 * [taylor]: Taking taylor expansion of n in n 15.935 * [backup-simplify]: Simplify 0 into 0 15.935 * [backup-simplify]: Simplify 1 into 1 15.935 * [backup-simplify]: Simplify (* 1 1) into 1 15.936 * [backup-simplify]: Simplify (/ 1 1) into 1 15.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.940 * [backup-simplify]: Simplify (- 0) into 0 15.940 * [backup-simplify]: Simplify 0 into 0 15.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.942 * [backup-simplify]: Simplify (- 0) into 0 15.942 * [backup-simplify]: Simplify 0 into 0 15.943 * [backup-simplify]: Simplify 0 into 0 15.943 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 15.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 15.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.945 * [backup-simplify]: Simplify (- 0) into 0 15.946 * [backup-simplify]: Simplify (+ 0 0) into 0 15.946 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 15.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 15.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.949 * [backup-simplify]: Simplify (+ 0 0) into 0 15.949 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 15.951 * [backup-simplify]: Simplify (- 0) into 0 15.951 * [backup-simplify]: Simplify (+ 0 0) into 0 15.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 15.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 15.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 15.953 * [taylor]: Taking taylor expansion of 2 in n 15.953 * [backup-simplify]: Simplify 2 into 2 15.953 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 15.953 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.953 * [taylor]: Taking taylor expansion of n in n 15.953 * [backup-simplify]: Simplify 0 into 0 15.953 * [backup-simplify]: Simplify 1 into 1 15.954 * [backup-simplify]: Simplify (* 1 1) into 1 15.954 * [backup-simplify]: Simplify (* 1 1) into 1 15.955 * [backup-simplify]: Simplify (/ 1 1) into 1 15.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.964 * [backup-simplify]: Simplify (- 0) into 0 15.964 * [backup-simplify]: Simplify 0 into 0 15.964 * [backup-simplify]: Simplify -1 into -1 15.964 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 15.965 * [backup-simplify]: Simplify (- (* n n) (+ (* f n) (* f n))) into (- (pow n 2) (* 2 (* n f))) 15.965 * [approximate]: Taking taylor expansion of (- (pow n 2) (* 2 (* n f))) in (n f) around 0 15.965 * [taylor]: Taking taylor expansion of (- (pow n 2) (* 2 (* n f))) in f 15.965 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.965 * [taylor]: Taking taylor expansion of n in f 15.965 * [backup-simplify]: Simplify n into n 15.965 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in f 15.965 * [taylor]: Taking taylor expansion of 2 in f 15.965 * [backup-simplify]: Simplify 2 into 2 15.965 * [taylor]: Taking taylor expansion of (* n f) in f 15.965 * [taylor]: Taking taylor expansion of n in f 15.965 * [backup-simplify]: Simplify n into n 15.965 * [taylor]: Taking taylor expansion of f in f 15.965 * [backup-simplify]: Simplify 0 into 0 15.965 * [backup-simplify]: Simplify 1 into 1 15.965 * [taylor]: Taking taylor expansion of (- (pow n 2) (* 2 (* n f))) in n 15.965 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.965 * [taylor]: Taking taylor expansion of n in n 15.965 * [backup-simplify]: Simplify 0 into 0 15.965 * [backup-simplify]: Simplify 1 into 1 15.965 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in n 15.965 * [taylor]: Taking taylor expansion of 2 in n 15.965 * [backup-simplify]: Simplify 2 into 2 15.965 * [taylor]: Taking taylor expansion of (* n f) in n 15.965 * [taylor]: Taking taylor expansion of n in n 15.965 * [backup-simplify]: Simplify 0 into 0 15.965 * [backup-simplify]: Simplify 1 into 1 15.965 * [taylor]: Taking taylor expansion of f in n 15.965 * [backup-simplify]: Simplify f into f 15.966 * [taylor]: Taking taylor expansion of (- (pow n 2) (* 2 (* n f))) in n 15.966 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.966 * [taylor]: Taking taylor expansion of n in n 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 1 into 1 15.966 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in n 15.966 * [taylor]: Taking taylor expansion of 2 in n 15.966 * [backup-simplify]: Simplify 2 into 2 15.966 * [taylor]: Taking taylor expansion of (* n f) in n 15.966 * [taylor]: Taking taylor expansion of n in n 15.966 * [backup-simplify]: Simplify 0 into 0 15.966 * [backup-simplify]: Simplify 1 into 1 15.966 * [taylor]: Taking taylor expansion of f in n 15.966 * [backup-simplify]: Simplify f into f 15.966 * [backup-simplify]: Simplify (* 0 f) into 0 15.967 * [backup-simplify]: Simplify (* 2 0) into 0 15.967 * [backup-simplify]: Simplify (- 0) into 0 15.967 * [backup-simplify]: Simplify (+ 0 0) into 0 15.967 * [taylor]: Taking taylor expansion of 0 in f 15.967 * [backup-simplify]: Simplify 0 into 0 15.967 * [backup-simplify]: Simplify 0 into 0 15.968 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 15.968 * [backup-simplify]: Simplify (+ (* 2 f) (* 0 0)) into (* 2 f) 15.968 * [backup-simplify]: Simplify (- (* 2 f)) into (- (* 2 f)) 15.968 * [backup-simplify]: Simplify (+ 0 (- (* 2 f))) into (- (* 2 f)) 15.968 * [taylor]: Taking taylor expansion of (- (* 2 f)) in f 15.968 * [taylor]: Taking taylor expansion of (* 2 f) in f 15.969 * [taylor]: Taking taylor expansion of 2 in f 15.969 * [backup-simplify]: Simplify 2 into 2 15.969 * [taylor]: Taking taylor expansion of f in f 15.969 * [backup-simplify]: Simplify 0 into 0 15.969 * [backup-simplify]: Simplify 1 into 1 15.969 * [backup-simplify]: Simplify (* 2 0) into 0 15.969 * [backup-simplify]: Simplify (- 0) into 0 15.969 * [backup-simplify]: Simplify 0 into 0 15.969 * [backup-simplify]: Simplify 0 into 0 15.970 * [backup-simplify]: Simplify (* 1 1) into 1 15.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 f))) into 0 15.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 f) (* 0 0))) into 0 15.972 * [backup-simplify]: Simplify (- 0) into 0 15.972 * [backup-simplify]: Simplify (+ 1 0) into 1 15.972 * [taylor]: Taking taylor expansion of 1 in f 15.972 * [backup-simplify]: Simplify 1 into 1 15.972 * [backup-simplify]: Simplify 1 into 1 15.973 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 15.973 * [backup-simplify]: Simplify (- 2) into -2 15.973 * [backup-simplify]: Simplify -2 into -2 15.974 * [backup-simplify]: Simplify 0 into 0 15.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 f)))) into 0 15.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 f) (* 0 0)))) into 0 15.977 * [backup-simplify]: Simplify (- 0) into 0 15.977 * [backup-simplify]: Simplify (+ 0 0) into 0 15.977 * [taylor]: Taking taylor expansion of 0 in f 15.977 * [backup-simplify]: Simplify 0 into 0 15.977 * [backup-simplify]: Simplify 0 into 0 15.977 * [backup-simplify]: Simplify 0 into 0 15.978 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 15.979 * [backup-simplify]: Simplify (- 0) into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 0 into 0 15.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 f))))) into 0 15.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 f) (* 0 0))))) into 0 15.988 * [backup-simplify]: Simplify (- 0) into 0 15.988 * [backup-simplify]: Simplify (+ 0 0) into 0 15.988 * [taylor]: Taking taylor expansion of 0 in f 15.988 * [backup-simplify]: Simplify 0 into 0 15.988 * [backup-simplify]: Simplify 0 into 0 15.989 * [backup-simplify]: Simplify (+ (* -2 (* f n)) (* 1 (pow (* 1 n) 2))) into (- (pow n 2) (* 2 (* n f))) 15.989 * [backup-simplify]: Simplify (- (* (/ 1 n) (/ 1 n)) (+ (* (/ 1 f) (/ 1 n)) (* (/ 1 f) (/ 1 n)))) into (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) 15.989 * [approximate]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in (n f) around 0 15.989 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in f 15.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 15.989 * [taylor]: Taking taylor expansion of (pow n 2) in f 15.989 * [taylor]: Taking taylor expansion of n in f 15.990 * [backup-simplify]: Simplify n into n 15.990 * [backup-simplify]: Simplify (* n n) into (pow n 2) 15.990 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 15.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 15.990 * [taylor]: Taking taylor expansion of 2 in f 15.990 * [backup-simplify]: Simplify 2 into 2 15.990 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 15.990 * [taylor]: Taking taylor expansion of (* n f) in f 15.990 * [taylor]: Taking taylor expansion of n in f 15.990 * [backup-simplify]: Simplify n into n 15.990 * [taylor]: Taking taylor expansion of f in f 15.990 * [backup-simplify]: Simplify 0 into 0 15.990 * [backup-simplify]: Simplify 1 into 1 15.990 * [backup-simplify]: Simplify (* n 0) into 0 15.991 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 15.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.991 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in n 15.991 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.991 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.991 * [taylor]: Taking taylor expansion of n in n 15.991 * [backup-simplify]: Simplify 0 into 0 15.991 * [backup-simplify]: Simplify 1 into 1 15.991 * [backup-simplify]: Simplify (* 1 1) into 1 15.992 * [backup-simplify]: Simplify (/ 1 1) into 1 15.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 15.992 * [taylor]: Taking taylor expansion of 2 in n 15.992 * [backup-simplify]: Simplify 2 into 2 15.992 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 15.992 * [taylor]: Taking taylor expansion of (* n f) in n 15.992 * [taylor]: Taking taylor expansion of n in n 15.992 * [backup-simplify]: Simplify 0 into 0 15.992 * [backup-simplify]: Simplify 1 into 1 15.992 * [taylor]: Taking taylor expansion of f in n 15.992 * [backup-simplify]: Simplify f into f 15.992 * [backup-simplify]: Simplify (* 0 f) into 0 15.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 15.993 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.993 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in n 15.993 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.993 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.993 * [taylor]: Taking taylor expansion of n in n 15.993 * [backup-simplify]: Simplify 0 into 0 15.993 * [backup-simplify]: Simplify 1 into 1 15.994 * [backup-simplify]: Simplify (* 1 1) into 1 15.994 * [backup-simplify]: Simplify (/ 1 1) into 1 15.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 15.994 * [taylor]: Taking taylor expansion of 2 in n 15.994 * [backup-simplify]: Simplify 2 into 2 15.994 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 15.994 * [taylor]: Taking taylor expansion of (* n f) in n 15.995 * [taylor]: Taking taylor expansion of n in n 15.995 * [backup-simplify]: Simplify 0 into 0 15.995 * [backup-simplify]: Simplify 1 into 1 15.995 * [taylor]: Taking taylor expansion of f in n 15.995 * [backup-simplify]: Simplify f into f 15.995 * [backup-simplify]: Simplify (* 0 f) into 0 15.995 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 15.995 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.996 * [backup-simplify]: Simplify (+ 1 0) into 1 15.996 * [taylor]: Taking taylor expansion of 1 in f 15.996 * [backup-simplify]: Simplify 1 into 1 15.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.998 * [backup-simplify]: Simplify (* 2 (/ 1 f)) into (/ 2 f) 15.998 * [backup-simplify]: Simplify (- (/ 2 f)) into (- (* 2 (/ 1 f))) 15.998 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 15.998 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 15.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 15.998 * [taylor]: Taking taylor expansion of 2 in f 15.998 * [backup-simplify]: Simplify 2 into 2 15.998 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.998 * [taylor]: Taking taylor expansion of f in f 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify 1 into 1 15.999 * [backup-simplify]: Simplify (/ 1 1) into 1 15.999 * [backup-simplify]: Simplify (* 2 1) into 2 16.000 * [backup-simplify]: Simplify (- 2) into -2 16.000 * [backup-simplify]: Simplify -2 into -2 16.000 * [backup-simplify]: Simplify 1 into 1 16.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 f))) into 0 16.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 16.003 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 f))) into 0 16.004 * [backup-simplify]: Simplify (- 0) into 0 16.004 * [backup-simplify]: Simplify (+ 0 0) into 0 16.004 * [taylor]: Taking taylor expansion of 0 in f 16.004 * [backup-simplify]: Simplify 0 into 0 16.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.006 * [backup-simplify]: Simplify (- 0) into 0 16.006 * [backup-simplify]: Simplify 0 into 0 16.006 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 f)))) into 0 16.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 16.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 16.012 * [backup-simplify]: Simplify (- 0) into 0 16.012 * [backup-simplify]: Simplify (+ 0 0) into 0 16.012 * [taylor]: Taking taylor expansion of 0 in f 16.012 * [backup-simplify]: Simplify 0 into 0 16.013 * [backup-simplify]: Simplify 0 into 0 16.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.015 * [backup-simplify]: Simplify (- 0) into 0 16.015 * [backup-simplify]: Simplify 0 into 0 16.015 * [backup-simplify]: Simplify 0 into 0 16.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 f))))) into 0 16.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 16.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 16.021 * [backup-simplify]: Simplify (- 0) into 0 16.021 * [backup-simplify]: Simplify (+ 0 0) into 0 16.021 * [taylor]: Taking taylor expansion of 0 in f 16.022 * [backup-simplify]: Simplify 0 into 0 16.022 * [backup-simplify]: Simplify 0 into 0 16.022 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 n))) 2)) (* -2 (* (/ 1 (/ 1 f)) (/ 1 (/ 1 n))))) into (- (pow n 2) (* 2 (* n f))) 16.023 * [backup-simplify]: Simplify (- (* (/ 1 (- n)) (/ 1 (- n))) (+ (* (/ 1 (- f)) (/ 1 (- n))) (* (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) 16.023 * [approximate]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in (n f) around 0 16.023 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in f 16.023 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.023 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.023 * [taylor]: Taking taylor expansion of n in f 16.023 * [backup-simplify]: Simplify n into n 16.023 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.023 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 16.023 * [taylor]: Taking taylor expansion of 2 in f 16.023 * [backup-simplify]: Simplify 2 into 2 16.023 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 16.023 * [taylor]: Taking taylor expansion of (* n f) in f 16.023 * [taylor]: Taking taylor expansion of n in f 16.023 * [backup-simplify]: Simplify n into n 16.023 * [taylor]: Taking taylor expansion of f in f 16.024 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify 1 into 1 16.024 * [backup-simplify]: Simplify (* n 0) into 0 16.024 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 16.024 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.024 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in n 16.024 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.024 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.024 * [taylor]: Taking taylor expansion of n in n 16.025 * [backup-simplify]: Simplify 0 into 0 16.025 * [backup-simplify]: Simplify 1 into 1 16.025 * [backup-simplify]: Simplify (* 1 1) into 1 16.025 * [backup-simplify]: Simplify (/ 1 1) into 1 16.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 16.025 * [taylor]: Taking taylor expansion of 2 in n 16.026 * [backup-simplify]: Simplify 2 into 2 16.026 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 16.026 * [taylor]: Taking taylor expansion of (* n f) in n 16.026 * [taylor]: Taking taylor expansion of n in n 16.026 * [backup-simplify]: Simplify 0 into 0 16.026 * [backup-simplify]: Simplify 1 into 1 16.026 * [taylor]: Taking taylor expansion of f in n 16.026 * [backup-simplify]: Simplify f into f 16.026 * [backup-simplify]: Simplify (* 0 f) into 0 16.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 16.026 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (* 2 (/ 1 (* n f)))) in n 16.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.027 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.027 * [taylor]: Taking taylor expansion of n in n 16.027 * [backup-simplify]: Simplify 0 into 0 16.027 * [backup-simplify]: Simplify 1 into 1 16.027 * [backup-simplify]: Simplify (* 1 1) into 1 16.027 * [backup-simplify]: Simplify (/ 1 1) into 1 16.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 16.028 * [taylor]: Taking taylor expansion of 2 in n 16.028 * [backup-simplify]: Simplify 2 into 2 16.028 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 16.028 * [taylor]: Taking taylor expansion of (* n f) in n 16.028 * [taylor]: Taking taylor expansion of n in n 16.028 * [backup-simplify]: Simplify 0 into 0 16.028 * [backup-simplify]: Simplify 1 into 1 16.028 * [taylor]: Taking taylor expansion of f in n 16.028 * [backup-simplify]: Simplify f into f 16.028 * [backup-simplify]: Simplify (* 0 f) into 0 16.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 16.028 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.029 * [backup-simplify]: Simplify (+ 1 0) into 1 16.029 * [taylor]: Taking taylor expansion of 1 in f 16.029 * [backup-simplify]: Simplify 1 into 1 16.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.031 * [backup-simplify]: Simplify (* 2 (/ 1 f)) into (/ 2 f) 16.031 * [backup-simplify]: Simplify (- (/ 2 f)) into (- (* 2 (/ 1 f))) 16.031 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 f)))) into (- (* 2 (/ 1 f))) 16.031 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 f))) in f 16.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 16.031 * [taylor]: Taking taylor expansion of 2 in f 16.031 * [backup-simplify]: Simplify 2 into 2 16.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.031 * [taylor]: Taking taylor expansion of f in f 16.031 * [backup-simplify]: Simplify 0 into 0 16.031 * [backup-simplify]: Simplify 1 into 1 16.032 * [backup-simplify]: Simplify (/ 1 1) into 1 16.032 * [backup-simplify]: Simplify (* 2 1) into 2 16.033 * [backup-simplify]: Simplify (- 2) into -2 16.033 * [backup-simplify]: Simplify -2 into -2 16.033 * [backup-simplify]: Simplify 1 into 1 16.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 f))) into 0 16.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 16.036 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 f))) into 0 16.036 * [backup-simplify]: Simplify (- 0) into 0 16.037 * [backup-simplify]: Simplify (+ 0 0) into 0 16.037 * [taylor]: Taking taylor expansion of 0 in f 16.037 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.039 * [backup-simplify]: Simplify (- 0) into 0 16.039 * [backup-simplify]: Simplify 0 into 0 16.039 * [backup-simplify]: Simplify 0 into 0 16.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 f)))) into 0 16.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 16.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 16.044 * [backup-simplify]: Simplify (- 0) into 0 16.044 * [backup-simplify]: Simplify (+ 0 0) into 0 16.044 * [taylor]: Taking taylor expansion of 0 in f 16.044 * [backup-simplify]: Simplify 0 into 0 16.044 * [backup-simplify]: Simplify 0 into 0 16.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.046 * [backup-simplify]: Simplify (- 0) into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 f))))) into 0 16.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 16.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 16.052 * [backup-simplify]: Simplify (- 0) into 0 16.052 * [backup-simplify]: Simplify (+ 0 0) into 0 16.052 * [taylor]: Taking taylor expansion of 0 in f 16.052 * [backup-simplify]: Simplify 0 into 0 16.052 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- n)))) 2)) (* -2 (* (/ 1 (/ 1 (- f))) (/ 1 (/ 1 (- n)))))) into (- (pow n 2) (* 2 (* n f))) 16.053 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 16.053 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 16.053 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 16.053 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 16.053 * [taylor]: Taking taylor expansion of (pow f 2) in n 16.053 * [taylor]: Taking taylor expansion of f in n 16.053 * [backup-simplify]: Simplify f into f 16.053 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.053 * [taylor]: Taking taylor expansion of n in n 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 16.053 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.053 * [taylor]: Taking taylor expansion of f in f 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.053 * [taylor]: Taking taylor expansion of n in f 16.053 * [backup-simplify]: Simplify n into n 16.053 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 16.053 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.053 * [taylor]: Taking taylor expansion of f in f 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.054 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.054 * [taylor]: Taking taylor expansion of n in f 16.054 * [backup-simplify]: Simplify n into n 16.054 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.054 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 16.054 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 16.054 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 16.054 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.054 * [taylor]: Taking taylor expansion of n in n 16.054 * [backup-simplify]: Simplify 0 into 0 16.054 * [backup-simplify]: Simplify 1 into 1 16.054 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 16.055 * [backup-simplify]: Simplify (- 0) into 0 16.055 * [backup-simplify]: Simplify (+ 0 0) into 0 16.055 * [taylor]: Taking taylor expansion of 0 in n 16.055 * [backup-simplify]: Simplify 0 into 0 16.055 * [backup-simplify]: Simplify 0 into 0 16.056 * [backup-simplify]: Simplify (* 1 1) into 1 16.060 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 16.061 * [backup-simplify]: Simplify (- 0) into 0 16.062 * [backup-simplify]: Simplify (+ 1 0) into 1 16.062 * [taylor]: Taking taylor expansion of 1 in n 16.062 * [backup-simplify]: Simplify 1 into 1 16.062 * [backup-simplify]: Simplify 1 into 1 16.062 * [backup-simplify]: Simplify 0 into 0 16.062 * [backup-simplify]: Simplify (* 1 1) into 1 16.063 * [backup-simplify]: Simplify (- 1) into -1 16.063 * [backup-simplify]: Simplify -1 into -1 16.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.064 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 16.065 * [backup-simplify]: Simplify (- 0) into 0 16.066 * [backup-simplify]: Simplify (+ 0 0) into 0 16.066 * [taylor]: Taking taylor expansion of 0 in n 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 0 into 0 16.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.067 * [backup-simplify]: Simplify (- 0) into 0 16.067 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.070 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 16.071 * [backup-simplify]: Simplify (- 0) into 0 16.071 * [backup-simplify]: Simplify (+ 0 0) into 0 16.071 * [taylor]: Taking taylor expansion of 0 in n 16.071 * [backup-simplify]: Simplify 0 into 0 16.071 * [backup-simplify]: Simplify 0 into 0 16.071 * [backup-simplify]: Simplify 0 into 0 16.072 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 16.072 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 16.072 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 16.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 16.072 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 16.072 * [taylor]: Taking taylor expansion of (pow f 2) in n 16.072 * [taylor]: Taking taylor expansion of f in n 16.072 * [backup-simplify]: Simplify f into f 16.072 * [backup-simplify]: Simplify (* f f) into (pow f 2) 16.073 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 16.073 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.073 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.073 * [taylor]: Taking taylor expansion of n in n 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [backup-simplify]: Simplify (* 1 1) into 1 16.074 * [backup-simplify]: Simplify (/ 1 1) into 1 16.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 16.074 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.074 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.074 * [taylor]: Taking taylor expansion of f in f 16.074 * [backup-simplify]: Simplify 0 into 0 16.074 * [backup-simplify]: Simplify 1 into 1 16.074 * [backup-simplify]: Simplify (* 1 1) into 1 16.075 * [backup-simplify]: Simplify (/ 1 1) into 1 16.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.075 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.075 * [taylor]: Taking taylor expansion of n in f 16.075 * [backup-simplify]: Simplify n into n 16.075 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.075 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 16.075 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.075 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.075 * [taylor]: Taking taylor expansion of f in f 16.075 * [backup-simplify]: Simplify 0 into 0 16.075 * [backup-simplify]: Simplify 1 into 1 16.076 * [backup-simplify]: Simplify (* 1 1) into 1 16.076 * [backup-simplify]: Simplify (/ 1 1) into 1 16.076 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.076 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.076 * [taylor]: Taking taylor expansion of n in f 16.076 * [backup-simplify]: Simplify n into n 16.076 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.077 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.077 * [backup-simplify]: Simplify (+ 1 0) into 1 16.077 * [taylor]: Taking taylor expansion of 1 in n 16.077 * [backup-simplify]: Simplify 1 into 1 16.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.080 * [backup-simplify]: Simplify (+ 0 0) into 0 16.080 * [taylor]: Taking taylor expansion of 0 in n 16.080 * [backup-simplify]: Simplify 0 into 0 16.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.082 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.082 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 16.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 16.082 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.082 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.083 * [taylor]: Taking taylor expansion of n in n 16.083 * [backup-simplify]: Simplify 0 into 0 16.083 * [backup-simplify]: Simplify 1 into 1 16.083 * [backup-simplify]: Simplify (* 1 1) into 1 16.084 * [backup-simplify]: Simplify (/ 1 1) into 1 16.084 * [backup-simplify]: Simplify (- 1) into -1 16.084 * [backup-simplify]: Simplify -1 into -1 16.084 * [backup-simplify]: Simplify 1 into 1 16.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.087 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 16.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 16.088 * [backup-simplify]: Simplify (- 0) into 0 16.089 * [backup-simplify]: Simplify (+ 0 0) into 0 16.089 * [taylor]: Taking taylor expansion of 0 in n 16.089 * [backup-simplify]: Simplify 0 into 0 16.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.091 * [backup-simplify]: Simplify (- 0) into 0 16.091 * [backup-simplify]: Simplify 0 into 0 16.091 * [backup-simplify]: Simplify 0 into 0 16.091 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.094 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 16.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 16.095 * [backup-simplify]: Simplify (- 0) into 0 16.096 * [backup-simplify]: Simplify (+ 0 0) into 0 16.096 * [taylor]: Taking taylor expansion of 0 in n 16.096 * [backup-simplify]: Simplify 0 into 0 16.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.098 * [backup-simplify]: Simplify (- 0) into 0 16.098 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 16.100 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 16.100 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 16.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 16.100 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 16.100 * [taylor]: Taking taylor expansion of (pow f 2) in n 16.100 * [taylor]: Taking taylor expansion of f in n 16.100 * [backup-simplify]: Simplify f into f 16.100 * [backup-simplify]: Simplify (* f f) into (pow f 2) 16.100 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 16.100 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.100 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.100 * [taylor]: Taking taylor expansion of n in n 16.100 * [backup-simplify]: Simplify 0 into 0 16.100 * [backup-simplify]: Simplify 1 into 1 16.101 * [backup-simplify]: Simplify (* 1 1) into 1 16.101 * [backup-simplify]: Simplify (/ 1 1) into 1 16.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 16.101 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.101 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.101 * [taylor]: Taking taylor expansion of f in f 16.101 * [backup-simplify]: Simplify 0 into 0 16.101 * [backup-simplify]: Simplify 1 into 1 16.102 * [backup-simplify]: Simplify (* 1 1) into 1 16.102 * [backup-simplify]: Simplify (/ 1 1) into 1 16.102 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.102 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.102 * [taylor]: Taking taylor expansion of n in f 16.102 * [backup-simplify]: Simplify n into n 16.102 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.103 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 16.103 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.103 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.103 * [taylor]: Taking taylor expansion of f in f 16.103 * [backup-simplify]: Simplify 0 into 0 16.103 * [backup-simplify]: Simplify 1 into 1 16.104 * [backup-simplify]: Simplify (* 1 1) into 1 16.104 * [backup-simplify]: Simplify (/ 1 1) into 1 16.104 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.104 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.104 * [taylor]: Taking taylor expansion of n in f 16.104 * [backup-simplify]: Simplify n into n 16.104 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.105 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.106 * [backup-simplify]: Simplify (+ 1 0) into 1 16.106 * [taylor]: Taking taylor expansion of 1 in n 16.106 * [backup-simplify]: Simplify 1 into 1 16.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.108 * [backup-simplify]: Simplify (+ 0 0) into 0 16.108 * [taylor]: Taking taylor expansion of 0 in n 16.108 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.111 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.111 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 16.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 16.111 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.111 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.111 * [taylor]: Taking taylor expansion of n in n 16.111 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify 1 into 1 16.112 * [backup-simplify]: Simplify (* 1 1) into 1 16.112 * [backup-simplify]: Simplify (/ 1 1) into 1 16.112 * [backup-simplify]: Simplify (- 1) into -1 16.112 * [backup-simplify]: Simplify -1 into -1 16.113 * [backup-simplify]: Simplify 1 into 1 16.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.116 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 16.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 16.117 * [backup-simplify]: Simplify (- 0) into 0 16.117 * [backup-simplify]: Simplify (+ 0 0) into 0 16.117 * [taylor]: Taking taylor expansion of 0 in n 16.117 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.119 * [backup-simplify]: Simplify (- 0) into 0 16.119 * [backup-simplify]: Simplify 0 into 0 16.119 * [backup-simplify]: Simplify 0 into 0 16.119 * [backup-simplify]: Simplify 0 into 0 16.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.122 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 16.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 16.123 * [backup-simplify]: Simplify (- 0) into 0 16.124 * [backup-simplify]: Simplify (+ 0 0) into 0 16.124 * [taylor]: Taking taylor expansion of 0 in n 16.124 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.127 * [backup-simplify]: Simplify (- 0) into 0 16.127 * [backup-simplify]: Simplify 0 into 0 16.127 * [backup-simplify]: Simplify 0 into 0 16.127 * [backup-simplify]: Simplify 0 into 0 16.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 16.128 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 16.128 * [backup-simplify]: Simplify (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 16.128 * [approximate]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in (f n) around 0 16.128 * [taylor]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in n 16.128 * [taylor]: Taking taylor expansion of (+ (pow f 2) (pow n 2)) in n 16.128 * [taylor]: Taking taylor expansion of (pow f 2) in n 16.128 * [taylor]: Taking taylor expansion of f in n 16.128 * [backup-simplify]: Simplify f into f 16.129 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.129 * [taylor]: Taking taylor expansion of n in n 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in n 16.129 * [taylor]: Taking taylor expansion of 2 in n 16.129 * [backup-simplify]: Simplify 2 into 2 16.129 * [taylor]: Taking taylor expansion of (* n f) in n 16.129 * [taylor]: Taking taylor expansion of n in n 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [taylor]: Taking taylor expansion of f in n 16.129 * [backup-simplify]: Simplify f into f 16.129 * [taylor]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in f 16.129 * [taylor]: Taking taylor expansion of (+ (pow f 2) (pow n 2)) in f 16.129 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.129 * [taylor]: Taking taylor expansion of f in f 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.129 * [taylor]: Taking taylor expansion of n in f 16.129 * [backup-simplify]: Simplify n into n 16.129 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in f 16.129 * [taylor]: Taking taylor expansion of 2 in f 16.129 * [backup-simplify]: Simplify 2 into 2 16.129 * [taylor]: Taking taylor expansion of (* n f) in f 16.129 * [taylor]: Taking taylor expansion of n in f 16.129 * [backup-simplify]: Simplify n into n 16.129 * [taylor]: Taking taylor expansion of f in f 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [taylor]: Taking taylor expansion of (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) in f 16.130 * [taylor]: Taking taylor expansion of (+ (pow f 2) (pow n 2)) in f 16.130 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.130 * [taylor]: Taking taylor expansion of f in f 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify 1 into 1 16.130 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.130 * [taylor]: Taking taylor expansion of n in f 16.130 * [backup-simplify]: Simplify n into n 16.130 * [taylor]: Taking taylor expansion of (* 2 (* n f)) in f 16.130 * [taylor]: Taking taylor expansion of 2 in f 16.130 * [backup-simplify]: Simplify 2 into 2 16.130 * [taylor]: Taking taylor expansion of (* n f) in f 16.130 * [taylor]: Taking taylor expansion of n in f 16.130 * [backup-simplify]: Simplify n into n 16.130 * [taylor]: Taking taylor expansion of f in f 16.130 * [backup-simplify]: Simplify 0 into 0 16.130 * [backup-simplify]: Simplify 1 into 1 16.130 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.131 * [backup-simplify]: Simplify (+ 0 (pow n 2)) into (pow n 2) 16.131 * [backup-simplify]: Simplify (* n 0) into 0 16.132 * [backup-simplify]: Simplify (* 2 0) into 0 16.132 * [backup-simplify]: Simplify (- 0) into 0 16.133 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 16.133 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.133 * [taylor]: Taking taylor expansion of n in n 16.133 * [backup-simplify]: Simplify 0 into 0 16.133 * [backup-simplify]: Simplify 1 into 1 16.133 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 16.134 * [backup-simplify]: Simplify (+ 0 0) into 0 16.134 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 16.135 * [backup-simplify]: Simplify (+ (* 2 n) (* 0 0)) into (* 2 n) 16.135 * [backup-simplify]: Simplify (- (* 2 n)) into (- (* 2 n)) 16.135 * [backup-simplify]: Simplify (+ 0 (- (* 2 n))) into (- (* 2 n)) 16.135 * [taylor]: Taking taylor expansion of (- (* 2 n)) in n 16.135 * [taylor]: Taking taylor expansion of (* 2 n) in n 16.135 * [taylor]: Taking taylor expansion of 2 in n 16.135 * [backup-simplify]: Simplify 2 into 2 16.135 * [taylor]: Taking taylor expansion of n in n 16.135 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify 1 into 1 16.136 * [backup-simplify]: Simplify (* 2 0) into 0 16.136 * [backup-simplify]: Simplify (- 0) into 0 16.136 * [backup-simplify]: Simplify 0 into 0 16.137 * [backup-simplify]: Simplify (* 1 1) into 1 16.137 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 16.138 * [backup-simplify]: Simplify (+ 1 0) into 1 16.139 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 16.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 n) (* 0 0))) into 0 16.140 * [backup-simplify]: Simplify (- 0) into 0 16.140 * [backup-simplify]: Simplify (+ 1 0) into 1 16.140 * [taylor]: Taking taylor expansion of 1 in n 16.140 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 16.142 * [backup-simplify]: Simplify (- 2) into -2 16.142 * [backup-simplify]: Simplify -2 into -2 16.142 * [backup-simplify]: Simplify (* 1 1) into 1 16.142 * [backup-simplify]: Simplify 1 into 1 16.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* n 1) 2)) (+ (* -2 (* n f)) (* 1 (pow (* 1 f) 2)))) into (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 16.143 * [backup-simplify]: Simplify (+ (* (/ 1 f) (/ 1 f)) (- (* (/ 1 n) (/ 1 n)) (+ (* (/ 1 f) (/ 1 n)) (* (/ 1 f) (/ 1 n))))) into (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) 16.144 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in (f n) around 0 16.144 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in n 16.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 16.144 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.144 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.144 * [taylor]: Taking taylor expansion of n in n 16.144 * [backup-simplify]: Simplify 0 into 0 16.144 * [backup-simplify]: Simplify 1 into 1 16.144 * [backup-simplify]: Simplify (* 1 1) into 1 16.145 * [backup-simplify]: Simplify (/ 1 1) into 1 16.145 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 16.145 * [taylor]: Taking taylor expansion of (pow f 2) in n 16.145 * [taylor]: Taking taylor expansion of f in n 16.145 * [backup-simplify]: Simplify f into f 16.145 * [backup-simplify]: Simplify (* f f) into (pow f 2) 16.145 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 16.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 16.145 * [taylor]: Taking taylor expansion of 2 in n 16.145 * [backup-simplify]: Simplify 2 into 2 16.145 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 16.145 * [taylor]: Taking taylor expansion of (* n f) in n 16.145 * [taylor]: Taking taylor expansion of n in n 16.145 * [backup-simplify]: Simplify 0 into 0 16.145 * [backup-simplify]: Simplify 1 into 1 16.145 * [taylor]: Taking taylor expansion of f in n 16.145 * [backup-simplify]: Simplify f into f 16.145 * [backup-simplify]: Simplify (* 0 f) into 0 16.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 16.146 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.146 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 16.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 16.146 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.146 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.146 * [taylor]: Taking taylor expansion of n in f 16.146 * [backup-simplify]: Simplify n into n 16.146 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.146 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.146 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.147 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.147 * [taylor]: Taking taylor expansion of f in f 16.147 * [backup-simplify]: Simplify 0 into 0 16.147 * [backup-simplify]: Simplify 1 into 1 16.147 * [backup-simplify]: Simplify (* 1 1) into 1 16.147 * [backup-simplify]: Simplify (/ 1 1) into 1 16.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 16.148 * [taylor]: Taking taylor expansion of 2 in f 16.148 * [backup-simplify]: Simplify 2 into 2 16.148 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 16.148 * [taylor]: Taking taylor expansion of (* n f) in f 16.148 * [taylor]: Taking taylor expansion of n in f 16.148 * [backup-simplify]: Simplify n into n 16.148 * [taylor]: Taking taylor expansion of f in f 16.148 * [backup-simplify]: Simplify 0 into 0 16.148 * [backup-simplify]: Simplify 1 into 1 16.148 * [backup-simplify]: Simplify (* n 0) into 0 16.148 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 16.148 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.148 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 16.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 16.148 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.149 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.149 * [taylor]: Taking taylor expansion of n in f 16.149 * [backup-simplify]: Simplify n into n 16.149 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.149 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.149 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.149 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.149 * [taylor]: Taking taylor expansion of f in f 16.149 * [backup-simplify]: Simplify 0 into 0 16.149 * [backup-simplify]: Simplify 1 into 1 16.149 * [backup-simplify]: Simplify (* 1 1) into 1 16.150 * [backup-simplify]: Simplify (/ 1 1) into 1 16.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 16.150 * [taylor]: Taking taylor expansion of 2 in f 16.150 * [backup-simplify]: Simplify 2 into 2 16.150 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 16.150 * [taylor]: Taking taylor expansion of (* n f) in f 16.150 * [taylor]: Taking taylor expansion of n in f 16.150 * [backup-simplify]: Simplify n into n 16.150 * [taylor]: Taking taylor expansion of f in f 16.150 * [backup-simplify]: Simplify 0 into 0 16.150 * [backup-simplify]: Simplify 1 into 1 16.150 * [backup-simplify]: Simplify (* n 0) into 0 16.151 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 16.151 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.151 * [backup-simplify]: Simplify (+ 0 1) into 1 16.152 * [backup-simplify]: Simplify (+ 1 0) into 1 16.152 * [taylor]: Taking taylor expansion of 1 in n 16.152 * [backup-simplify]: Simplify 1 into 1 16.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.154 * [backup-simplify]: Simplify (+ 0 0) into 0 16.154 * [backup-simplify]: Simplify (* 2 (/ 1 n)) into (/ 2 n) 16.154 * [backup-simplify]: Simplify (- (/ 2 n)) into (- (* 2 (/ 1 n))) 16.154 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 16.154 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 16.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.154 * [taylor]: Taking taylor expansion of 2 in n 16.154 * [backup-simplify]: Simplify 2 into 2 16.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.154 * [taylor]: Taking taylor expansion of n in n 16.154 * [backup-simplify]: Simplify 0 into 0 16.154 * [backup-simplify]: Simplify 1 into 1 16.155 * [backup-simplify]: Simplify (/ 1 1) into 1 16.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.157 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 16.158 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 16.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 n))) into 0 16.160 * [backup-simplify]: Simplify (- 0) into 0 16.160 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 16.160 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.160 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.160 * [taylor]: Taking taylor expansion of n in n 16.160 * [backup-simplify]: Simplify 0 into 0 16.160 * [backup-simplify]: Simplify 1 into 1 16.160 * [backup-simplify]: Simplify (* 1 1) into 1 16.161 * [backup-simplify]: Simplify (/ 1 1) into 1 16.161 * [backup-simplify]: Simplify 1 into 1 16.161 * [backup-simplify]: Simplify (* 2 1) into 2 16.162 * [backup-simplify]: Simplify (- 2) into -2 16.162 * [backup-simplify]: Simplify -2 into -2 16.162 * [backup-simplify]: Simplify 1 into 1 16.163 * [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) (pow n 2)) (* 2 (* n f))) 16.163 * [backup-simplify]: Simplify (+ (* (/ 1 (- f)) (/ 1 (- f))) (- (* (/ 1 (- n)) (/ 1 (- n))) (+ (* (/ 1 (- f)) (/ 1 (- n))) (* (/ 1 (- f)) (/ 1 (- n)))))) into (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) 16.164 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in (f n) around 0 16.164 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in n 16.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 16.164 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.164 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.164 * [taylor]: Taking taylor expansion of n in n 16.164 * [backup-simplify]: Simplify 0 into 0 16.164 * [backup-simplify]: Simplify 1 into 1 16.164 * [backup-simplify]: Simplify (* 1 1) into 1 16.165 * [backup-simplify]: Simplify (/ 1 1) into 1 16.165 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 16.165 * [taylor]: Taking taylor expansion of (pow f 2) in n 16.165 * [taylor]: Taking taylor expansion of f in n 16.165 * [backup-simplify]: Simplify f into f 16.165 * [backup-simplify]: Simplify (* f f) into (pow f 2) 16.165 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 16.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in n 16.165 * [taylor]: Taking taylor expansion of 2 in n 16.165 * [backup-simplify]: Simplify 2 into 2 16.165 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in n 16.165 * [taylor]: Taking taylor expansion of (* n f) in n 16.165 * [taylor]: Taking taylor expansion of n in n 16.165 * [backup-simplify]: Simplify 0 into 0 16.165 * [backup-simplify]: Simplify 1 into 1 16.165 * [taylor]: Taking taylor expansion of f in n 16.165 * [backup-simplify]: Simplify f into f 16.166 * [backup-simplify]: Simplify (* 0 f) into 0 16.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 f)) into f 16.166 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.166 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 16.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 16.166 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.166 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.166 * [taylor]: Taking taylor expansion of n in f 16.166 * [backup-simplify]: Simplify n into n 16.166 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.167 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.167 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.167 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.167 * [taylor]: Taking taylor expansion of f in f 16.167 * [backup-simplify]: Simplify 0 into 0 16.167 * [backup-simplify]: Simplify 1 into 1 16.167 * [backup-simplify]: Simplify (* 1 1) into 1 16.168 * [backup-simplify]: Simplify (/ 1 1) into 1 16.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 16.168 * [taylor]: Taking taylor expansion of 2 in f 16.168 * [backup-simplify]: Simplify 2 into 2 16.168 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 16.168 * [taylor]: Taking taylor expansion of (* n f) in f 16.168 * [taylor]: Taking taylor expansion of n in f 16.168 * [backup-simplify]: Simplify n into n 16.168 * [taylor]: Taking taylor expansion of f in f 16.168 * [backup-simplify]: Simplify 0 into 0 16.168 * [backup-simplify]: Simplify 1 into 1 16.168 * [backup-simplify]: Simplify (* n 0) into 0 16.172 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 16.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.173 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) (* 2 (/ 1 (* n f)))) in f 16.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 16.173 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 16.173 * [taylor]: Taking taylor expansion of (pow n 2) in f 16.173 * [taylor]: Taking taylor expansion of n in f 16.173 * [backup-simplify]: Simplify n into n 16.173 * [backup-simplify]: Simplify (* n n) into (pow n 2) 16.173 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 16.173 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.173 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.173 * [taylor]: Taking taylor expansion of f in f 16.173 * [backup-simplify]: Simplify 0 into 0 16.173 * [backup-simplify]: Simplify 1 into 1 16.174 * [backup-simplify]: Simplify (* 1 1) into 1 16.174 * [backup-simplify]: Simplify (/ 1 1) into 1 16.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* n f))) in f 16.175 * [taylor]: Taking taylor expansion of 2 in f 16.175 * [backup-simplify]: Simplify 2 into 2 16.175 * [taylor]: Taking taylor expansion of (/ 1 (* n f)) in f 16.175 * [taylor]: Taking taylor expansion of (* n f) in f 16.175 * [taylor]: Taking taylor expansion of n in f 16.175 * [backup-simplify]: Simplify n into n 16.175 * [taylor]: Taking taylor expansion of f in f 16.175 * [backup-simplify]: Simplify 0 into 0 16.175 * [backup-simplify]: Simplify 1 into 1 16.175 * [backup-simplify]: Simplify (* n 0) into 0 16.175 * [backup-simplify]: Simplify (+ (* n 1) (* 0 0)) into n 16.176 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.176 * [backup-simplify]: Simplify (+ 0 1) into 1 16.177 * [backup-simplify]: Simplify (+ 1 0) into 1 16.177 * [taylor]: Taking taylor expansion of 1 in n 16.177 * [backup-simplify]: Simplify 1 into 1 16.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.178 * [backup-simplify]: Simplify (+ 0 0) into 0 16.179 * [backup-simplify]: Simplify (* 2 (/ 1 n)) into (/ 2 n) 16.179 * [backup-simplify]: Simplify (- (/ 2 n)) into (- (* 2 (/ 1 n))) 16.179 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 n)))) into (- (* 2 (/ 1 n))) 16.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 16.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.179 * [taylor]: Taking taylor expansion of 2 in n 16.179 * [backup-simplify]: Simplify 2 into 2 16.179 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.179 * [taylor]: Taking taylor expansion of n in n 16.179 * [backup-simplify]: Simplify 0 into 0 16.179 * [backup-simplify]: Simplify 1 into 1 16.180 * [backup-simplify]: Simplify (/ 1 1) into 1 16.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.182 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 16.183 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 1) (* 0 0))) into 0 16.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.184 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 n))) into 0 16.184 * [backup-simplify]: Simplify (- 0) into 0 16.184 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 16.184 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.184 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.185 * [taylor]: Taking taylor expansion of n in n 16.185 * [backup-simplify]: Simplify 0 into 0 16.185 * [backup-simplify]: Simplify 1 into 1 16.185 * [backup-simplify]: Simplify (* 1 1) into 1 16.185 * [backup-simplify]: Simplify (/ 1 1) into 1 16.185 * [backup-simplify]: Simplify 1 into 1 16.186 * [backup-simplify]: Simplify (* 2 1) into 2 16.186 * [backup-simplify]: Simplify (- 2) into -2 16.186 * [backup-simplify]: Simplify -2 into -2 16.186 * [backup-simplify]: Simplify 1 into 1 16.187 * [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) (pow n 2)) (* 2 (* n f))) 16.187 * * * [progress]: simplifying candidates 16.191 * [simplify]: Simplifying: (- (log (- (- (* f f) (* n n)))) (log (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (log (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (exp (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (* (cbrt (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (cbrt (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (cbrt (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (* (* (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (sqrt (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (sqrt (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (- (- (- (* f f) (* n n)))) (- (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ 0 (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- (* f f) (* n n)) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (cbrt (- (- (* f f) (* n n)))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (cbrt (- (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) 1) (/ (cbrt (- (- (* f f) (* n n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (sqrt (- (- (* f f) (* n n)))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (sqrt (- (- (* f f) (* n n)))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (sqrt (- (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (sqrt (- (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (sqrt (- (- (* f f) (* n n)))) 1) (/ (sqrt (- (- (* f f) (* n n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ 1 (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (- (* f f) (* n n))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ 1 (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (- (* f f) (* n n))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ 1 1) (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ -1 (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (* f f) (* n n)) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ -1 (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (* f f) (* n n)) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ -1 1) (/ (- (* f f) (* n n)) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (cbrt (- (* f f) (* n n))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (cbrt (- (* f f) (* n n))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) 1) (/ (cbrt (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- (sqrt (- (* f f) (* n n)))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (sqrt (- (* f f) (* n n))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (sqrt (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (sqrt (- (* f f) (* n n))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (sqrt (- (* f f) (* n n)))) 1) (/ (sqrt (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- 1) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (* f f) (* n n)) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- 1) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (* f f) (* n n)) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- 1) 1) (/ (- (* f f) (* n n)) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- (+ f n)) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- f n) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (+ f n)) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- f n) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (+ f n)) 1) (/ (- f n) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (cbrt (- (* f f) (* n n)))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (cbrt (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) 1) (/ (- (cbrt (- (* f f) (* n n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (sqrt (- (* f f) (* n n))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (sqrt (- (* f f) (* n n)))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (sqrt (- (* f f) (* n n))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (sqrt (- (* f f) (* n n)))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (sqrt (- (* f f) (* n n))) 1) (/ (- (sqrt (- (* f f) (* n n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ 1 (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (- (* f f) (* n n))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ 1 (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (- (* f f) (* n n))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ 1 1) (/ (- (- (* f f) (* n n))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (+ f n) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (- f n)) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (+ f n) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (- f n)) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (+ f n) 1) (/ (- (- f n)) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ 1 (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (/ (- (- (* f f) (* n n))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))))) (/ (- (- (* f f) (* n n))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (/ (- (- (* f f) (* n n))) 1) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (cbrt (- (- (* f f) (* n n))))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (sqrt (- (- (* f f) (* n n))))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (- (* f f) (* n n)))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (* f f) (* n n))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (cbrt (- (* f f) (* n n)))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (sqrt (- (* f f) (* n n)))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (* f f) (* n n))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- f n)) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (cbrt (- (* f f) (* n n))))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (sqrt (- (* f f) (* n n))))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (- (* f f) (* n n)))) (/ (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (- (- f n))) (/ (- (- (* f f) (* n n))) (+ (pow (* f f) 3) (pow (- (* n n) (+ (* f n) (* f n))) 3))) (/ (- (- (* f f) (* n n))) (- (* (* f f) (* f f)) (* (- (* n n) (+ (* f n) (* f n))) (- (* n n) (+ (* f n) (* f n)))))) (* (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* f f) (* n n))) (/ (exp (* n n)) (* (exp (* f n)) (exp (* f n)))) (/ (exp (* n n)) (exp (+ (* f n) (* f n)))) (log (- (* n n) (+ (* f n) (* f n)))) (exp (- (* n n) (+ (* f n) (* f n)))) (* (cbrt (- (* n n) (+ (* f n) (* f n)))) (cbrt (- (* n n) (+ (* f n) (* f n))))) (cbrt (- (* n n) (+ (* f n) (* f n)))) (* (* (- (* n n) (+ (* f n) (* f n))) (- (* n n) (+ (* f n) (* f n)))) (- (* n n) (+ (* f n) (* f n)))) (sqrt (- (* n n) (+ (* f n) (* f n)))) (sqrt (- (* n n) (+ (* f n) (* f n)))) (- (pow (* n n) 3) (pow (+ (* f n) (* f n)) 3)) (+ (* (* n n) (* n n)) (+ (* (+ (* f n) (* f n)) (+ (* f n) (* f n))) (* (* n n) (+ (* f n) (* f n))))) (- (+ (* f n) (* f n))) (- (* (* n n) (* n n)) (* (+ (* f n) (* f n)) (+ (* f n) (* f n)))) (+ (* n n) (+ (* f n) (* f n))) (+ n (sqrt (+ (* f n) (* f n)))) (- n (sqrt (+ (* f n) (* f n)))) (- n (+ f f)) (- (* n n) (* f n)) (- (+ (* f n) (* f n))) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (* (exp (* f f)) (/ (exp (* n n)) (* (exp (* f n)) (exp (* f n))))) (* (exp (* f f)) (/ (exp (* n n)) (exp (+ (* f n) (* f n))))) (* (exp (* f f)) (exp (- (* n n) (+ (* f n) (* f n))))) (log (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (exp (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (* (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n)))))) (cbrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (* (* (+ (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (sqrt (+ (* f f) (- (* n n) (+ (* f n) (* f n))))) (+ (pow (* f f) 3) (pow (- (* n n) (+ (* f n) (* f n))) 3)) (+ (* (* f f) (* f f)) (- (* (- (* n n) (+ (* f n) (* f n))) (- (* n n) (+ (* f n) (* f n)))) (* (* f f) (- (* n n) (+ (* f n) (* f n)))))) (- (* (* f f) (* f f)) (* (- (* n n) (+ (* f n) (* f n))) (- (* n n) (+ (* f n) (* f n))))) (- (* f f) (- (* n n) (+ (* f n) (* f n)))) (+ (* f f) (* n n)) (+ (* f f) (* n n)) (+ (* f f) (* n n)) 1 -1 -1 (- (pow n 2) (* 2 (* n f))) (- (pow n 2) (* 2 (* n f))) (- (pow n 2) (* 2 (* n f))) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) (- (+ (pow f 2) (pow n 2)) (* 2 (* n f))) 16.200 * * [simplify]: iteration 0: 191 enodes 16.287 * * [simplify]: iteration 1: 508 enodes 16.659 * * [simplify]: iteration 2: 1636 enodes 17.708 * * [simplify]: iteration complete: 5001 enodes 17.708 * * [simplify]: Extracting #0: cost 120 inf + 0 17.711 * * [simplify]: Extracting #1: cost 741 inf + 3 17.721 * * [simplify]: Extracting #2: cost 1718 inf + 2298 17.751 * * [simplify]: Extracting #3: cost 1614 inf + 71744 17.865 * * [simplify]: Extracting #4: cost 632 inf + 349032 18.043 * * [simplify]: Extracting #5: cost 120 inf + 534482 18.246 * * [simplify]: Extracting #6: cost 10 inf + 571310 18.432 * * [simplify]: Extracting #7: cost 0 inf + 573962 18.634 * [simplify]: Simplified to: (log (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (log (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (exp (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (- (* (* (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))) (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f)))))) (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (* (cbrt (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (cbrt (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f)))))))) (cbrt (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (- (* (* (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))) (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f)))))) (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (sqrt (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (sqrt (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f))))))) (* (+ f n) (- f n)) (- (+ (* f f) (- 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f))))) (/ (sqrt (* (+ f n) (- (- f n)))) (sqrt (- (* n n) (- (* (+ f f) n) (* f f))))) (sqrt (* (+ f n) (- (- f n)))) (/ (sqrt (* (+ f n) (- (- f n)))) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (/ 1 (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (- (- (/ (* f f) (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (/ (* n n) (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))))) (/ 1 (sqrt (- (* n n) (- (* (+ f f) n) (* f f))))) (- (- (/ (* f f) (sqrt (- (* n n) (- (* (+ f f) n) (* f f))))) (/ (* n n) (sqrt (- (* n n) (- (* (+ f f) n) (* f f))))))) 1 (- (- (/ (* f f) (- (* n n) (- (* (+ f f) n) (* f f)))) (/ (* n n) (- (* n n) (- (* (+ f f) n) (* f f)))))) (/ (/ -1 (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (- (/ (* f f) (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (/ (* n n) (cbrt (- (* n n) (- (* (+ f f) n) (* f f)))))) (/ -1 (sqrt (- (* n n) (- (* (+ f f) n) (* f f))))) (- (/ (* f f) (sqrt (- (* n n) (- 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(* f (* f f)) (* n (* n n))) (- (* f (* f f)) (* n (* n n)))) (+ (* (* f f) (* f f)) (* (* n n) (+ (* f f) (* n n)))) (* (- n) n) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (* (- n) n) (exp (+ (* f f) (- (- (* n n) (* f n)) (* f n)))) (exp (+ (* f f) (- (- (* n n) (* f n)) (* f n)))) (exp (+ (* f f) (- (- (* n n) (* f n)) (* f n)))) (log (- (* n n) (- (* (+ f f) n) (* f f)))) (exp (+ (* f f) (- (- (* n n) (* f n)) (* f n)))) (* (cbrt (- (* n n) (- (* (+ f f) n) (* f f)))) (cbrt (- (* n n) (- (* (+ f f) n) (* f f))))) (cbrt (- (* n n) (- (* (+ f f) n) (* f f)))) (* (- (* n n) (- (* (+ f f) n) (* f f))) (* (- (* n n) (- (* (+ f f) n) (* f f))) (- (* n n) (- (* (+ f f) n) (* f f))))) (sqrt (- (* n n) (- (* (+ f f) n) (* f f)))) (sqrt (- (* n n) (- (* (+ f f) n) (* f f)))) (+ (* (* (- (- (* n n) (* f n)) (* f n)) (- (- (* n n) (* f n)) (* f n))) (- (- (* n n) (* f n)) (* f n))) (* (* (* f f) (* f f)) (* f f))) (+ (* (* f f) (* f f)) (* (- (- (- (* n n) (* f n)) (* f n)) (* f f)) (- (- (* n n) (* f n)) (* f n)))) (* (+ (* f f) (- (- (* n n) (* f n)) (* f n))) (- (* f f) (- (- (* n n) (* f n)) (* f n)))) (+ (* (+ f n) (- f n)) (* (+ f f) n)) (+ (* f f) (* n n)) (+ (* f f) (* n n)) (+ (* f f) (* n n)) 1 -1 -1 (- (- (* n n) (* f n)) (* f n)) (- (- (* n n) (* f n)) (* f n)) (- (- (* n n) (* f n)) (* f n)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) (- (* n n) (- (* (+ f f) n) (* f f))) (- (* n n) (- (* (+ f f) n) (* f f))) (- (* n n) (- (* (+ f f) n) (* f f))) 18.660 * * * [progress]: adding candidates to table 19.512 * [progress]: [Phase 3 of 3] Extracting. 19.513 * * [regime]: Finding splitpoints for: (# # # # #) 19.525 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 19.526 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # # #) 19.601 * * * * [regimes]: Trying to branch on n from (# # # # #) 19.684 * * * * [regimes]: Trying to branch on f from (# # # # #) 19.765 * * * [regime]: Found split indices: #