0.505 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.069 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.070 * * [simplify]: iteration 0: 6 enodes 0.078 * * [simplify]: iteration 1: 13 enodes 0.087 * * [simplify]: iteration 2: 16 enodes 0.098 * * [simplify]: iteration 3: 20 enodes 0.111 * * [simplify]: iteration 4: 24 enodes 0.177 * * [simplify]: iteration 5: 29 enodes 0.198 * * [simplify]: iteration 6: 31 enodes 0.213 * * [simplify]: iteration complete: 31 enodes 0.214 * * [simplify]: Extracting #0: cost 1 inf + 0 0.214 * * [simplify]: Extracting #1: cost 9 inf + 0 0.214 * * [simplify]: Extracting #2: cost 14 inf + 0 0.214 * * [simplify]: Extracting #3: cost 11 inf + 43 0.215 * * [simplify]: Extracting #4: cost 2 inf + 860 0.215 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.215 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.218 * * [progress]: iteration 1 / 4 0.218 * * * [progress]: picking best candidate 0.236 * * * * [pick]: Picked # 0.236 * * * [progress]: localizing error 0.286 * * * [progress]: generating rewritten candidates 0.286 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.416 * * * [progress]: generating series expansions 0.417 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.437 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.437 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.438 * [taylor]: Taking taylor expansion of -1 in n 0.438 * [backup-simplify]: Simplify -1 into -1 0.438 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.438 * [taylor]: Taking taylor expansion of (+ n f) in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of f in n 0.439 * [backup-simplify]: Simplify f into f 0.439 * [taylor]: Taking taylor expansion of (- f n) in n 0.439 * [taylor]: Taking taylor expansion of f in n 0.439 * [backup-simplify]: Simplify f into f 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (+ 0 f) into f 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ f 0) into f 0.441 * [backup-simplify]: Simplify (/ f f) into 1 0.441 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.441 * [taylor]: Taking taylor expansion of -1 in f 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.441 * [taylor]: Taking taylor expansion of (+ n f) in f 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [taylor]: Taking taylor expansion of f in f 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (- f n) in f 0.441 * [taylor]: Taking taylor expansion of f in f 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [backup-simplify]: Simplify (+ n 0) into n 0.441 * [backup-simplify]: Simplify (- n) into (- n) 0.442 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.442 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.442 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.442 * [taylor]: Taking taylor expansion of -1 in f 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.442 * [taylor]: Taking taylor expansion of (+ n f) in f 0.442 * [taylor]: Taking taylor expansion of n in f 0.442 * [backup-simplify]: Simplify n into n 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of (- f n) in f 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of n in f 0.442 * [backup-simplify]: Simplify n into n 0.442 * [backup-simplify]: Simplify (+ n 0) into n 0.443 * [backup-simplify]: Simplify (- n) into (- n) 0.443 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.443 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.453 * [backup-simplify]: Simplify (* -1 -1) into 1 0.453 * [taylor]: Taking taylor expansion of 1 in n 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (+ 0 1) into 1 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.456 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.456 * [taylor]: Taking taylor expansion of 2 in n 0.456 * [backup-simplify]: Simplify 2 into 2 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.457 * [taylor]: Taking taylor expansion of n in n 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.464 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.464 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.464 * [taylor]: Taking taylor expansion of 2 in n 0.464 * [backup-simplify]: Simplify 2 into 2 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.464 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [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)))) 0.474 * [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))) 0.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.474 * [taylor]: Taking taylor expansion of 2 in n 0.474 * [backup-simplify]: Simplify 2 into 2 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.474 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.481 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.481 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.481 * [taylor]: Taking taylor expansion of -1 in n 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.481 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.482 * [taylor]: Taking taylor expansion of f in n 0.482 * [backup-simplify]: Simplify f into f 0.482 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.482 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.482 * [taylor]: Taking taylor expansion of n in n 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.482 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.482 * [taylor]: Taking taylor expansion of f in n 0.482 * [backup-simplify]: Simplify f into f 0.482 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.482 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.482 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.483 * [backup-simplify]: Simplify (- 1) into -1 0.484 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.484 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.484 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.484 * [taylor]: Taking taylor expansion of -1 in f 0.484 * [backup-simplify]: Simplify -1 into -1 0.484 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.484 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.484 * [taylor]: Taking taylor expansion of f in f 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.484 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.485 * [taylor]: Taking taylor expansion of f in f 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.485 * [taylor]: Taking taylor expansion of n in f 0.485 * [backup-simplify]: Simplify n into n 0.485 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.486 * [backup-simplify]: Simplify (+ 1 0) into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.486 * [taylor]: Taking taylor expansion of -1 in f 0.486 * [backup-simplify]: Simplify -1 into -1 0.486 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.486 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.486 * [taylor]: Taking taylor expansion of f in f 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.486 * [taylor]: Taking taylor expansion of n in f 0.486 * [backup-simplify]: Simplify n into n 0.486 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.486 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.487 * [taylor]: Taking taylor expansion of f in f 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.487 * [taylor]: Taking taylor expansion of n in f 0.487 * [backup-simplify]: Simplify n into n 0.487 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.487 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (* -1 1) into -1 0.488 * [taylor]: Taking taylor expansion of -1 in n 0.488 * [backup-simplify]: Simplify -1 into -1 0.488 * [backup-simplify]: Simplify -1 into -1 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.490 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.490 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.491 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.491 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.491 * [taylor]: Taking taylor expansion of 2 in n 0.491 * [backup-simplify]: Simplify 2 into 2 0.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.491 * [taylor]: Taking taylor expansion of n in n 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [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 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.497 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.497 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.497 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.497 * [taylor]: Taking taylor expansion of 2 in n 0.497 * [backup-simplify]: Simplify 2 into 2 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.497 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.497 * [taylor]: Taking taylor expansion of n in n 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [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))) 0.510 * [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)))) 0.510 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.510 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.510 * [taylor]: Taking taylor expansion of 2 in n 0.510 * [backup-simplify]: Simplify 2 into 2 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.510 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify -1 into -1 0.522 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.523 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.523 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.523 * [taylor]: Taking taylor expansion of f in n 0.523 * [backup-simplify]: Simplify f into f 0.523 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.524 * [taylor]: Taking taylor expansion of f in n 0.524 * [backup-simplify]: Simplify f into f 0.524 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.524 * [backup-simplify]: Simplify (+ 0 1) into 1 0.525 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.525 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.525 * [taylor]: Taking taylor expansion of f in f 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.526 * [taylor]: Taking taylor expansion of n in f 0.526 * [backup-simplify]: Simplify n into n 0.526 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.526 * [taylor]: Taking taylor expansion of n in f 0.526 * [backup-simplify]: Simplify n into n 0.526 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.526 * [taylor]: Taking taylor expansion of f in f 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (+ 1 0) into 1 0.528 * [backup-simplify]: Simplify (- 1) into -1 0.528 * [backup-simplify]: Simplify (+ 0 -1) 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 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [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 0.530 * [backup-simplify]: Simplify (/ 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.531 * [backup-simplify]: Simplify (- 1) into -1 0.531 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.531 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.532 * [taylor]: Taking taylor expansion of -1 in n 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.534 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.534 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.534 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.534 * [taylor]: Taking taylor expansion of 2 in n 0.534 * [backup-simplify]: Simplify 2 into 2 0.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.543 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.543 * [taylor]: Taking taylor expansion of 2 in n 0.543 * [backup-simplify]: Simplify 2 into 2 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.543 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify 0 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 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [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)))) 0.558 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.558 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.558 * [taylor]: Taking taylor expansion of 2 in n 0.558 * [backup-simplify]: Simplify 2 into 2 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.558 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * * * [progress]: simplifying candidates 0.569 * * * * [progress]: [ 1 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.570 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.570 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 0.571 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.572 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.573 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.574 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.575 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.577 * [simplify]: Simplifying: (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.581 * * [simplify]: iteration 0: 136 enodes 0.843 * * [simplify]: iteration 1: 317 enodes 1.231 * * [simplify]: iteration 2: 707 enodes 2.233 * * [simplify]: iteration 3: 2276 enodes 5.412 * * [simplify]: iteration complete: 5000 enodes 5.412 * * [simplify]: Extracting #0: cost 89 inf + 0 5.414 * * [simplify]: Extracting #1: cost 502 inf + 3 5.423 * * [simplify]: Extracting #2: cost 802 inf + 12090 5.468 * * [simplify]: Extracting #3: cost 609 inf + 118809 5.515 * * [simplify]: Extracting #4: cost 215 inf + 205687 5.588 * * [simplify]: Extracting #5: cost 81 inf + 237893 5.683 * * [simplify]: Extracting #6: cost 14 inf + 247324 5.756 * * [simplify]: Extracting #7: cost 0 inf + 250861 5.860 * [simplify]: Simplified to: (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (* (/ (+ 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))) (/ (cbrt (- (+ f n))) (sqrt (- f n)))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt 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)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (* (cbrt (+ f n)) (/ (- (cbrt (+ f n))) (+ (sqrt 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)) (/ (cbrt (+ f n)) (sqrt (- f n)))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (cbrt (+ f n)) (/ (+ (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)) (/ 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))) (* (fma n (- n f) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 5.870 * * * [progress]: adding candidates to table 6.736 * * [progress]: iteration 2 / 4 6.736 * * * [progress]: picking best candidate 6.801 * * * * [pick]: Picked # 6.802 * * * [progress]: localizing error 6.923 * * * [progress]: generating rewritten candidates 6.923 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 6.926 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 7.031 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 7.045 * * * [progress]: generating series expansions 7.045 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 7.045 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 7.046 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 7.046 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 7.049 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 7.049 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 7.049 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.049 * [taylor]: Taking taylor expansion of -1 in n 7.049 * [backup-simplify]: Simplify -1 into -1 7.049 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.049 * [taylor]: Taking taylor expansion of (+ n f) in n 7.049 * [taylor]: Taking taylor expansion of n in n 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [taylor]: Taking taylor expansion of f in n 7.049 * [backup-simplify]: Simplify f into f 7.049 * [taylor]: Taking taylor expansion of (- f n) in n 7.050 * [taylor]: Taking taylor expansion of f in n 7.050 * [backup-simplify]: Simplify f into f 7.050 * [taylor]: Taking taylor expansion of n in n 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify 1 into 1 7.050 * [backup-simplify]: Simplify (+ 0 f) into f 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.051 * [backup-simplify]: Simplify (+ f 0) into f 7.051 * [backup-simplify]: Simplify (/ f f) into 1 7.052 * [backup-simplify]: Simplify (* -1 1) into -1 7.052 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.052 * [taylor]: Taking taylor expansion of 1 in n 7.052 * [backup-simplify]: Simplify 1 into 1 7.052 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 7.053 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 7.053 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.053 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.053 * [taylor]: Taking taylor expansion of -1 in f 7.053 * [backup-simplify]: Simplify -1 into -1 7.053 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.053 * [taylor]: Taking taylor expansion of (+ n f) in f 7.053 * [taylor]: Taking taylor expansion of n in f 7.053 * [backup-simplify]: Simplify n into n 7.053 * [taylor]: Taking taylor expansion of f in f 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.053 * [taylor]: Taking taylor expansion of (- f n) in f 7.053 * [taylor]: Taking taylor expansion of f in f 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.053 * [taylor]: Taking taylor expansion of n in f 7.053 * [backup-simplify]: Simplify n into n 7.053 * [backup-simplify]: Simplify (+ n 0) into n 7.053 * [backup-simplify]: Simplify (- n) into (- n) 7.053 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.054 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.054 * [backup-simplify]: Simplify (* -1 -1) into 1 7.054 * [backup-simplify]: Simplify (exp 1) into E 7.054 * [taylor]: Taking taylor expansion of 1 in f 7.054 * [backup-simplify]: Simplify 1 into 1 7.054 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 7.054 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 7.054 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.054 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.054 * [taylor]: Taking taylor expansion of -1 in f 7.054 * [backup-simplify]: Simplify -1 into -1 7.054 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.054 * [taylor]: Taking taylor expansion of (+ n f) in f 7.054 * [taylor]: Taking taylor expansion of n in f 7.055 * [backup-simplify]: Simplify n into n 7.055 * [taylor]: Taking taylor expansion of f in f 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of (- f n) in f 7.055 * [taylor]: Taking taylor expansion of f in f 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of n in f 7.055 * [backup-simplify]: Simplify n into n 7.055 * [backup-simplify]: Simplify (+ n 0) into n 7.055 * [backup-simplify]: Simplify (- n) into (- n) 7.055 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.055 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.056 * [backup-simplify]: Simplify (* -1 -1) into 1 7.056 * [backup-simplify]: Simplify (exp 1) into E 7.056 * [taylor]: Taking taylor expansion of 1 in f 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (- 1) into -1 7.057 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.057 * [taylor]: Taking taylor expansion of (- E 1) in n 7.057 * [taylor]: Taking taylor expansion of E in n 7.057 * [backup-simplify]: Simplify E into E 7.057 * [taylor]: Taking taylor expansion of 1 in n 7.057 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (- 1) into -1 7.058 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.059 * [backup-simplify]: Simplify (- E 1) into (- E 1) 7.060 * [backup-simplify]: Simplify (+ 0 1) into 1 7.060 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify (+ 1 0) into 1 7.065 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.066 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.067 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 7.068 * [backup-simplify]: Simplify (- 0) into 0 7.068 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 7.068 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 7.068 * [taylor]: Taking taylor expansion of 2 in n 7.068 * [backup-simplify]: Simplify 2 into 2 7.068 * [taylor]: Taking taylor expansion of (/ E n) in n 7.068 * [taylor]: Taking taylor expansion of E in n 7.068 * [backup-simplify]: Simplify E into E 7.068 * [taylor]: Taking taylor expansion of n in n 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (/ E 1) into E 7.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify (- 0) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (- 0) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.074 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.076 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.078 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 7.078 * [backup-simplify]: Simplify (- 0) into 0 7.079 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 7.079 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 7.079 * [taylor]: Taking taylor expansion of 4 in n 7.079 * [backup-simplify]: Simplify 4 into 4 7.079 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 7.079 * [taylor]: Taking taylor expansion of E in n 7.079 * [backup-simplify]: Simplify E into E 7.079 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.079 * [taylor]: Taking taylor expansion of n in n 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (* 1 1) into 1 7.080 * [backup-simplify]: Simplify (/ E 1) into E 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 7.086 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.088 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify (- 0) into 0 7.089 * [backup-simplify]: Simplify (+ 0 0) into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (+ 0 0) into 0 7.090 * [backup-simplify]: Simplify (- 0) into 0 7.090 * [backup-simplify]: Simplify (+ 0 0) into 0 7.093 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.095 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.099 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 7.100 * [backup-simplify]: Simplify (- 0) into 0 7.100 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 7.100 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 7.100 * [taylor]: Taking taylor expansion of 22/3 in n 7.100 * [backup-simplify]: Simplify 22/3 into 22/3 7.100 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 7.100 * [taylor]: Taking taylor expansion of E in n 7.101 * [backup-simplify]: Simplify E into E 7.101 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.101 * [taylor]: Taking taylor expansion of n in n 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 1 into 1 7.101 * [backup-simplify]: Simplify (* 1 1) into 1 7.101 * [backup-simplify]: Simplify (* 1 1) into 1 7.102 * [backup-simplify]: Simplify (/ E 1) into E 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify (- E 1) into (- E 1) 7.115 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 7.115 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 7.115 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.115 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 7.115 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.115 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.115 * [taylor]: Taking taylor expansion of -1 in n 7.115 * [backup-simplify]: Simplify -1 into -1 7.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.115 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.115 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.115 * [taylor]: Taking taylor expansion of f in n 7.116 * [backup-simplify]: Simplify f into f 7.116 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.116 * [taylor]: Taking taylor expansion of n in n 7.116 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.117 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.117 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.117 * [taylor]: Taking taylor expansion of f in n 7.117 * [backup-simplify]: Simplify f into f 7.117 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.117 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.117 * [taylor]: Taking taylor expansion of n in n 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 1 into 1 7.117 * [backup-simplify]: Simplify (/ 1 1) into 1 7.118 * [backup-simplify]: Simplify (+ 0 1) into 1 7.118 * [backup-simplify]: Simplify (- 1) into -1 7.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.119 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.120 * [backup-simplify]: Simplify (* -1 -1) into 1 7.120 * [backup-simplify]: Simplify (exp 1) into E 7.120 * [taylor]: Taking taylor expansion of 1 in n 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.120 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 7.120 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.120 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.120 * [taylor]: Taking taylor expansion of -1 in f 7.120 * [backup-simplify]: Simplify -1 into -1 7.120 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.120 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.120 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.120 * [taylor]: Taking taylor expansion of f in f 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.121 * [taylor]: Taking taylor expansion of n in f 7.121 * [backup-simplify]: Simplify n into n 7.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.121 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.121 * [taylor]: Taking taylor expansion of f in f 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.121 * [taylor]: Taking taylor expansion of n in f 7.122 * [backup-simplify]: Simplify n into n 7.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.122 * [backup-simplify]: Simplify (+ 1 0) into 1 7.123 * [backup-simplify]: Simplify (+ 1 0) into 1 7.123 * [backup-simplify]: Simplify (/ 1 1) into 1 7.124 * [backup-simplify]: Simplify (* -1 1) into -1 7.124 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.124 * [taylor]: Taking taylor expansion of 1 in f 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.125 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 7.125 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.125 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.125 * [taylor]: Taking taylor expansion of -1 in f 7.125 * [backup-simplify]: Simplify -1 into -1 7.125 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.125 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.125 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.125 * [taylor]: Taking taylor expansion of f in f 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.125 * [backup-simplify]: Simplify (/ 1 1) into 1 7.125 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.125 * [taylor]: Taking taylor expansion of n in f 7.126 * [backup-simplify]: Simplify n into n 7.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.126 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.126 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.126 * [taylor]: Taking taylor expansion of f in f 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (/ 1 1) into 1 7.126 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.126 * [taylor]: Taking taylor expansion of n in f 7.126 * [backup-simplify]: Simplify n into n 7.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.127 * [backup-simplify]: Simplify (+ 1 0) into 1 7.127 * [backup-simplify]: Simplify (+ 1 0) into 1 7.128 * [backup-simplify]: Simplify (/ 1 1) into 1 7.128 * [backup-simplify]: Simplify (* -1 1) into -1 7.129 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.129 * [taylor]: Taking taylor expansion of 1 in f 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [backup-simplify]: Simplify (- 1) into -1 7.131 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.131 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 7.131 * [taylor]: Taking taylor expansion of (exp -1) in n 7.131 * [taylor]: Taking taylor expansion of -1 in n 7.131 * [backup-simplify]: Simplify -1 into -1 7.131 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.131 * [taylor]: Taking taylor expansion of 1 in n 7.131 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (- 1) into -1 7.133 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.134 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.136 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.137 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.138 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.139 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.140 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 7.140 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 7.140 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 7.141 * [taylor]: Taking taylor expansion of 2 in n 7.141 * [backup-simplify]: Simplify 2 into 2 7.141 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.141 * [taylor]: Taking taylor expansion of (exp -1) in n 7.141 * [taylor]: Taking taylor expansion of -1 in n 7.141 * [backup-simplify]: Simplify -1 into -1 7.141 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.141 * [taylor]: Taking taylor expansion of n in n 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.144 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 7.146 * [backup-simplify]: Simplify (- 0) into 0 7.146 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.148 * [backup-simplify]: Simplify (- 0) into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.150 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.152 * [backup-simplify]: Simplify (- 0) into 0 7.152 * [backup-simplify]: Simplify (+ 0 0) into 0 7.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.156 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.159 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.159 * [backup-simplify]: Simplify (- 0) into 0 7.159 * [backup-simplify]: Simplify (+ 0 0) into 0 7.160 * [taylor]: Taking taylor expansion of 0 in n 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.165 * [backup-simplify]: Simplify (- 0) into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.167 * [backup-simplify]: Simplify (- 0) into 0 7.168 * [backup-simplify]: Simplify (+ 0 0) into 0 7.168 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.170 * [backup-simplify]: Simplify (+ 0 0) into 0 7.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.172 * [backup-simplify]: Simplify (- 0) into 0 7.172 * [backup-simplify]: Simplify (+ 0 0) into 0 7.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.177 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.182 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.183 * [backup-simplify]: Simplify (- 0) into 0 7.184 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 7.185 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.185 * [taylor]: Taking taylor expansion of 2/3 in n 7.185 * [backup-simplify]: Simplify 2/3 into 2/3 7.185 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.185 * [taylor]: Taking taylor expansion of (exp -1) in n 7.185 * [taylor]: Taking taylor expansion of -1 in n 7.185 * [backup-simplify]: Simplify -1 into -1 7.185 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.185 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.185 * [taylor]: Taking taylor expansion of n in n 7.185 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (* 1 1) into 1 7.186 * [backup-simplify]: Simplify (* 1 1) into 1 7.188 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.190 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.200 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.205 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.205 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.208 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 7.208 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.208 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.208 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 7.208 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.208 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.208 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.208 * [taylor]: Taking taylor expansion of f in n 7.208 * [backup-simplify]: Simplify f into f 7.208 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.208 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.208 * [taylor]: Taking taylor expansion of n in n 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 1 into 1 7.209 * [backup-simplify]: Simplify (/ 1 1) into 1 7.209 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.209 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.209 * [taylor]: Taking taylor expansion of n in n 7.209 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify 1 into 1 7.210 * [backup-simplify]: Simplify (/ 1 1) into 1 7.210 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.210 * [taylor]: Taking taylor expansion of f in n 7.210 * [backup-simplify]: Simplify f into f 7.210 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.211 * [backup-simplify]: Simplify (+ 0 1) into 1 7.211 * [backup-simplify]: Simplify (+ 1 0) into 1 7.211 * [backup-simplify]: Simplify (/ 1 1) into 1 7.211 * [backup-simplify]: Simplify (exp 1) into E 7.212 * [taylor]: Taking taylor expansion of 1 in n 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.212 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 7.212 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.212 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.212 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.212 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.212 * [taylor]: Taking taylor expansion of f in f 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (/ 1 1) into 1 7.212 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.212 * [taylor]: Taking taylor expansion of n in f 7.213 * [backup-simplify]: Simplify n into n 7.213 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.213 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.213 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.213 * [taylor]: Taking taylor expansion of n in f 7.213 * [backup-simplify]: Simplify n into n 7.213 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.213 * [taylor]: Taking taylor expansion of f in f 7.213 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify 1 into 1 7.213 * [backup-simplify]: Simplify (/ 1 1) into 1 7.214 * [backup-simplify]: Simplify (+ 1 0) into 1 7.214 * [backup-simplify]: Simplify (- 1) into -1 7.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.215 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.216 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.216 * [taylor]: Taking taylor expansion of 1 in f 7.216 * [backup-simplify]: Simplify 1 into 1 7.216 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.216 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 7.216 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.216 * [taylor]: Taking taylor expansion of f in f 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (/ 1 1) into 1 7.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.217 * [taylor]: Taking taylor expansion of n in f 7.217 * [backup-simplify]: Simplify n into n 7.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.217 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.217 * [taylor]: Taking taylor expansion of n in f 7.217 * [backup-simplify]: Simplify n into n 7.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.217 * [taylor]: Taking taylor expansion of f in f 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.218 * [backup-simplify]: Simplify (/ 1 1) into 1 7.218 * [backup-simplify]: Simplify (+ 1 0) into 1 7.219 * [backup-simplify]: Simplify (- 1) into -1 7.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.220 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.220 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.220 * [taylor]: Taking taylor expansion of 1 in f 7.220 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (- 1) into -1 7.222 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.222 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 7.222 * [taylor]: Taking taylor expansion of (exp -1) in n 7.222 * [taylor]: Taking taylor expansion of -1 in n 7.222 * [backup-simplify]: Simplify -1 into -1 7.223 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.223 * [taylor]: Taking taylor expansion of 1 in n 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (- 1) into -1 7.224 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.225 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify (- 0) into 0 7.227 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.227 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.228 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.228 * [backup-simplify]: Simplify (- 0) into 0 7.229 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 7.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 7.229 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 7.229 * [taylor]: Taking taylor expansion of 2 in n 7.229 * [backup-simplify]: Simplify 2 into 2 7.229 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.229 * [taylor]: Taking taylor expansion of (exp -1) in n 7.229 * [taylor]: Taking taylor expansion of -1 in n 7.229 * [backup-simplify]: Simplify -1 into -1 7.229 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.229 * [taylor]: Taking taylor expansion of n in n 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.234 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.235 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 7.236 * [backup-simplify]: Simplify (- 0) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.237 * [backup-simplify]: Simplify (- 0) into 0 7.237 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.238 * [backup-simplify]: Simplify (+ 0 0) into 0 7.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.239 * [backup-simplify]: Simplify (- 0) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.240 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.242 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.242 * [backup-simplify]: Simplify (- 0) into 0 7.243 * [backup-simplify]: Simplify (+ 0 0) into 0 7.243 * [taylor]: Taking taylor expansion of 0 in n 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.246 * [backup-simplify]: Simplify (- 0) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.247 * [backup-simplify]: Simplify (- 0) into 0 7.247 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.248 * [backup-simplify]: Simplify (+ 0 0) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (- 0) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.252 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.254 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.255 * [backup-simplify]: Simplify (- 0) into 0 7.255 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 7.255 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.255 * [taylor]: Taking taylor expansion of 2/3 in n 7.255 * [backup-simplify]: Simplify 2/3 into 2/3 7.255 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.255 * [taylor]: Taking taylor expansion of (exp -1) in n 7.255 * [taylor]: Taking taylor expansion of -1 in n 7.255 * [backup-simplify]: Simplify -1 into -1 7.256 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.256 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.256 * [taylor]: Taking taylor expansion of n in n 7.256 * [backup-simplify]: Simplify 0 into 0 7.256 * [backup-simplify]: Simplify 1 into 1 7.256 * [backup-simplify]: Simplify (* 1 1) into 1 7.256 * [backup-simplify]: Simplify (* 1 1) into 1 7.257 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.259 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.265 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.270 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.274 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.275 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 7.276 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 7.276 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 7.276 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.276 * [taylor]: Taking taylor expansion of -1 in n 7.276 * [backup-simplify]: Simplify -1 into -1 7.276 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.276 * [taylor]: Taking taylor expansion of (+ n f) in n 7.276 * [taylor]: Taking taylor expansion of n in n 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 1 into 1 7.276 * [taylor]: Taking taylor expansion of f in n 7.276 * [backup-simplify]: Simplify f into f 7.276 * [taylor]: Taking taylor expansion of (- f n) in n 7.276 * [taylor]: Taking taylor expansion of f in n 7.276 * [backup-simplify]: Simplify f into f 7.276 * [taylor]: Taking taylor expansion of n in n 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 1 into 1 7.277 * [backup-simplify]: Simplify (+ 0 f) into f 7.277 * [backup-simplify]: Simplify (- 0) into 0 7.277 * [backup-simplify]: Simplify (+ f 0) into f 7.277 * [backup-simplify]: Simplify (/ f f) into 1 7.277 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.277 * [taylor]: Taking taylor expansion of -1 in f 7.277 * [backup-simplify]: Simplify -1 into -1 7.277 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.277 * [taylor]: Taking taylor expansion of (+ n f) in f 7.277 * [taylor]: Taking taylor expansion of n in f 7.277 * [backup-simplify]: Simplify n into n 7.277 * [taylor]: Taking taylor expansion of f in f 7.277 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [taylor]: Taking taylor expansion of (- f n) in f 7.278 * [taylor]: Taking taylor expansion of f in f 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [taylor]: Taking taylor expansion of n in f 7.278 * [backup-simplify]: Simplify n into n 7.278 * [backup-simplify]: Simplify (+ n 0) into n 7.278 * [backup-simplify]: Simplify (- n) into (- n) 7.278 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.278 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.278 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.278 * [taylor]: Taking taylor expansion of -1 in f 7.278 * [backup-simplify]: Simplify -1 into -1 7.278 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.278 * [taylor]: Taking taylor expansion of (+ n f) in f 7.278 * [taylor]: Taking taylor expansion of n in f 7.278 * [backup-simplify]: Simplify n into n 7.278 * [taylor]: Taking taylor expansion of f in f 7.278 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [taylor]: Taking taylor expansion of (- f n) in f 7.279 * [taylor]: Taking taylor expansion of f in f 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [taylor]: Taking taylor expansion of n in f 7.279 * [backup-simplify]: Simplify n into n 7.279 * [backup-simplify]: Simplify (+ n 0) into n 7.279 * [backup-simplify]: Simplify (- n) into (- n) 7.279 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.279 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.280 * [backup-simplify]: Simplify (* -1 -1) into 1 7.280 * [taylor]: Taking taylor expansion of 1 in n 7.280 * [backup-simplify]: Simplify 1 into 1 7.280 * [backup-simplify]: Simplify 1 into 1 7.280 * [backup-simplify]: Simplify (+ 0 1) into 1 7.281 * [backup-simplify]: Simplify (- 0) into 0 7.281 * [backup-simplify]: Simplify (+ 1 0) into 1 7.282 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.283 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.283 * [taylor]: Taking taylor expansion of 2 in n 7.283 * [backup-simplify]: Simplify 2 into 2 7.283 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.283 * [taylor]: Taking taylor expansion of n in n 7.283 * [backup-simplify]: Simplify 0 into 0 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify (/ 1 1) into 1 7.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify (+ 0 0) into 0 7.286 * [backup-simplify]: Simplify (- 0) into 0 7.287 * [backup-simplify]: Simplify (+ 0 0) into 0 7.288 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.290 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.290 * [taylor]: Taking taylor expansion of 2 in n 7.290 * [backup-simplify]: Simplify 2 into 2 7.290 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.290 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.290 * [taylor]: Taking taylor expansion of n in n 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.290 * [backup-simplify]: Simplify (* 1 1) into 1 7.291 * [backup-simplify]: Simplify (/ 1 1) into 1 7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (+ 0 0) into 0 7.299 * [backup-simplify]: Simplify (- 0) into 0 7.299 * [backup-simplify]: Simplify (+ 0 0) into 0 7.301 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.304 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.304 * [taylor]: Taking taylor expansion of 2 in n 7.304 * [backup-simplify]: Simplify 2 into 2 7.304 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.304 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.304 * [taylor]: Taking taylor expansion of n in n 7.304 * [backup-simplify]: Simplify 0 into 0 7.304 * [backup-simplify]: Simplify 1 into 1 7.305 * [backup-simplify]: Simplify (* 1 1) into 1 7.305 * [backup-simplify]: Simplify (* 1 1) into 1 7.306 * [backup-simplify]: Simplify (/ 1 1) into 1 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 7.317 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 7.317 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.317 * [taylor]: Taking taylor expansion of -1 in n 7.317 * [backup-simplify]: Simplify -1 into -1 7.317 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.317 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.317 * [taylor]: Taking taylor expansion of f in n 7.317 * [backup-simplify]: Simplify f into f 7.317 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.317 * [taylor]: Taking taylor expansion of n in n 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (/ 1 1) into 1 7.318 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.318 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.318 * [taylor]: Taking taylor expansion of f in n 7.318 * [backup-simplify]: Simplify f into f 7.318 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.318 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.318 * [taylor]: Taking taylor expansion of n in n 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (/ 1 1) into 1 7.319 * [backup-simplify]: Simplify (+ 0 1) into 1 7.319 * [backup-simplify]: Simplify (- 1) into -1 7.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.320 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.320 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.320 * [taylor]: Taking taylor expansion of -1 in f 7.320 * [backup-simplify]: Simplify -1 into -1 7.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.320 * [taylor]: Taking taylor expansion of f in f 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (/ 1 1) into 1 7.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.321 * [taylor]: Taking taylor expansion of n in f 7.321 * [backup-simplify]: Simplify n into n 7.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.321 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.321 * [taylor]: Taking taylor expansion of f in f 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 1 into 1 7.322 * [backup-simplify]: Simplify (/ 1 1) into 1 7.322 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.322 * [taylor]: Taking taylor expansion of n in f 7.322 * [backup-simplify]: Simplify n into n 7.322 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.323 * [backup-simplify]: Simplify (+ 1 0) into 1 7.323 * [backup-simplify]: Simplify (+ 1 0) into 1 7.324 * [backup-simplify]: Simplify (/ 1 1) into 1 7.324 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.324 * [taylor]: Taking taylor expansion of -1 in f 7.324 * [backup-simplify]: Simplify -1 into -1 7.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.324 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.324 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.324 * [taylor]: Taking taylor expansion of f in f 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 1 into 1 7.324 * [backup-simplify]: Simplify (/ 1 1) into 1 7.324 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.324 * [taylor]: Taking taylor expansion of n in f 7.324 * [backup-simplify]: Simplify n into n 7.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.324 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.325 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.325 * [taylor]: Taking taylor expansion of f in f 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 1 into 1 7.325 * [backup-simplify]: Simplify (/ 1 1) into 1 7.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.325 * [taylor]: Taking taylor expansion of n in f 7.325 * [backup-simplify]: Simplify n into n 7.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.326 * [backup-simplify]: Simplify (+ 1 0) into 1 7.326 * [backup-simplify]: Simplify (+ 1 0) into 1 7.327 * [backup-simplify]: Simplify (/ 1 1) into 1 7.327 * [backup-simplify]: Simplify (* -1 1) into -1 7.327 * [taylor]: Taking taylor expansion of -1 in n 7.327 * [backup-simplify]: Simplify -1 into -1 7.327 * [backup-simplify]: Simplify -1 into -1 7.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.328 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.329 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.330 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.330 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.331 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.331 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.331 * [taylor]: Taking taylor expansion of 2 in n 7.331 * [backup-simplify]: Simplify 2 into 2 7.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.331 * [taylor]: Taking taylor expansion of n in n 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ 1 1) into 1 7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.334 * [backup-simplify]: Simplify (- 0) into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.335 * [backup-simplify]: Simplify (+ 0 0) into 0 7.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.337 * [backup-simplify]: Simplify (- 0) into 0 7.338 * [backup-simplify]: Simplify (+ 0 0) into 0 7.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.341 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.341 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.341 * [taylor]: Taking taylor expansion of 2 in n 7.341 * [backup-simplify]: Simplify 2 into 2 7.341 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.341 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.341 * [taylor]: Taking taylor expansion of n in n 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.342 * [backup-simplify]: Simplify (* 1 1) into 1 7.342 * [backup-simplify]: Simplify (/ 1 1) into 1 7.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.348 * [backup-simplify]: Simplify (- 0) into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.350 * [backup-simplify]: Simplify (- 0) into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.352 * [backup-simplify]: Simplify (+ 0 0) into 0 7.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.355 * [backup-simplify]: Simplify (- 0) into 0 7.355 * [backup-simplify]: Simplify (+ 0 0) into 0 7.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.360 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.360 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.360 * [taylor]: Taking taylor expansion of 2 in n 7.360 * [backup-simplify]: Simplify 2 into 2 7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.360 * [taylor]: Taking taylor expansion of n in n 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 1 into 1 7.361 * [backup-simplify]: Simplify (* 1 1) into 1 7.361 * [backup-simplify]: Simplify (* 1 1) into 1 7.362 * [backup-simplify]: Simplify (/ 1 1) into 1 7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.373 * [backup-simplify]: Simplify (- 0) into 0 7.373 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify -1 into -1 7.374 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 7.374 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 7.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.374 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.374 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.374 * [taylor]: Taking taylor expansion of f in n 7.374 * [backup-simplify]: Simplify f into f 7.374 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.374 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.374 * [taylor]: Taking taylor expansion of n in n 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (/ 1 1) into 1 7.375 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.375 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.375 * [taylor]: Taking taylor expansion of n in n 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (/ 1 1) into 1 7.375 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.375 * [taylor]: Taking taylor expansion of f in n 7.375 * [backup-simplify]: Simplify f into f 7.375 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.376 * [backup-simplify]: Simplify (+ 0 1) into 1 7.377 * [backup-simplify]: Simplify (+ 1 0) into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.377 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.377 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.377 * [taylor]: Taking taylor expansion of f in f 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 1 into 1 7.378 * [backup-simplify]: Simplify (/ 1 1) into 1 7.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.378 * [taylor]: Taking taylor expansion of n in f 7.378 * [backup-simplify]: Simplify n into n 7.378 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.378 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.378 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.378 * [taylor]: Taking taylor expansion of n in f 7.378 * [backup-simplify]: Simplify n into n 7.378 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.378 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.378 * [taylor]: Taking taylor expansion of f in f 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify 1 into 1 7.379 * [backup-simplify]: Simplify (/ 1 1) into 1 7.379 * [backup-simplify]: Simplify (+ 1 0) into 1 7.380 * [backup-simplify]: Simplify (- 1) into -1 7.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.381 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.381 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.381 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.381 * [taylor]: Taking taylor expansion of f in f 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.386 * [backup-simplify]: Simplify (/ 1 1) into 1 7.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.386 * [taylor]: Taking taylor expansion of n in f 7.386 * [backup-simplify]: Simplify n into n 7.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.386 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.386 * [taylor]: Taking taylor expansion of n in f 7.386 * [backup-simplify]: Simplify n into n 7.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.386 * [taylor]: Taking taylor expansion of f in f 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.387 * [backup-simplify]: Simplify (+ 1 0) into 1 7.388 * [backup-simplify]: Simplify (- 1) into -1 7.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.389 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.389 * [taylor]: Taking taylor expansion of -1 in n 7.389 * [backup-simplify]: Simplify -1 into -1 7.389 * [backup-simplify]: Simplify -1 into -1 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (- 0) into 0 7.391 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.391 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.391 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.391 * [taylor]: Taking taylor expansion of 2 in n 7.391 * [backup-simplify]: Simplify 2 into 2 7.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.391 * [taylor]: Taking taylor expansion of n in n 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.393 * [backup-simplify]: Simplify (- 0) into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.394 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- 0) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.396 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.396 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.396 * [taylor]: Taking taylor expansion of 2 in n 7.396 * [backup-simplify]: Simplify 2 into 2 7.396 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.396 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.396 * [taylor]: Taking taylor expansion of n in n 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (* 1 1) into 1 7.397 * [backup-simplify]: Simplify (/ 1 1) into 1 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.400 * [backup-simplify]: Simplify (- 0) into 0 7.400 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.402 * [backup-simplify]: Simplify (- 0) into 0 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.403 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.404 * [backup-simplify]: Simplify (- 0) into 0 7.404 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.406 * [taylor]: Taking taylor expansion of 2 in n 7.406 * [backup-simplify]: Simplify 2 into 2 7.406 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.406 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.406 * [taylor]: Taking taylor expansion of n in n 7.406 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (* 1 1) into 1 7.407 * [backup-simplify]: Simplify (* 1 1) into 1 7.407 * [backup-simplify]: Simplify (/ 1 1) into 1 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.413 * [backup-simplify]: Simplify (- 0) into 0 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify -1 into -1 7.413 * * * * [progress]: [ 3 / 3 ] generating series at (2) 7.414 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 7.414 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 7.414 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 7.414 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 7.414 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 7.414 * [taylor]: Taking taylor expansion of 1 in n 7.414 * [backup-simplify]: Simplify 1 into 1 7.414 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 7.414 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 7.414 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 7.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.414 * [taylor]: Taking taylor expansion of -1 in n 7.414 * [backup-simplify]: Simplify -1 into -1 7.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.414 * [taylor]: Taking taylor expansion of (+ n f) in n 7.414 * [taylor]: Taking taylor expansion of n in n 7.414 * [backup-simplify]: Simplify 0 into 0 7.414 * [backup-simplify]: Simplify 1 into 1 7.414 * [taylor]: Taking taylor expansion of f in n 7.414 * [backup-simplify]: Simplify f into f 7.415 * [taylor]: Taking taylor expansion of (- f n) in n 7.415 * [taylor]: Taking taylor expansion of f in n 7.415 * [backup-simplify]: Simplify f into f 7.415 * [taylor]: Taking taylor expansion of n in n 7.415 * [backup-simplify]: Simplify 0 into 0 7.415 * [backup-simplify]: Simplify 1 into 1 7.415 * [backup-simplify]: Simplify (+ 0 f) into f 7.415 * [backup-simplify]: Simplify (- 0) into 0 7.415 * [backup-simplify]: Simplify (+ f 0) into f 7.415 * [backup-simplify]: Simplify (/ f f) into 1 7.415 * [backup-simplify]: Simplify (* -1 1) into -1 7.416 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.416 * [taylor]: Taking taylor expansion of 1 in n 7.416 * [backup-simplify]: Simplify 1 into 1 7.416 * [backup-simplify]: Simplify (- 1) into -1 7.417 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.418 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.420 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.420 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 7.420 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 7.420 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 7.420 * [taylor]: Taking taylor expansion of 1 in f 7.420 * [backup-simplify]: Simplify 1 into 1 7.420 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 7.420 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 7.420 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.420 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.420 * [taylor]: Taking taylor expansion of -1 in f 7.420 * [backup-simplify]: Simplify -1 into -1 7.420 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.420 * [taylor]: Taking taylor expansion of (+ n f) in f 7.420 * [taylor]: Taking taylor expansion of n in f 7.420 * [backup-simplify]: Simplify n into n 7.420 * [taylor]: Taking taylor expansion of f in f 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 1 into 1 7.420 * [taylor]: Taking taylor expansion of (- f n) in f 7.420 * [taylor]: Taking taylor expansion of f in f 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify 1 into 1 7.421 * [taylor]: Taking taylor expansion of n in f 7.421 * [backup-simplify]: Simplify n into n 7.421 * [backup-simplify]: Simplify (+ n 0) into n 7.421 * [backup-simplify]: Simplify (- n) into (- n) 7.421 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.421 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.422 * [backup-simplify]: Simplify (* -1 -1) into 1 7.422 * [backup-simplify]: Simplify (exp 1) into E 7.422 * [taylor]: Taking taylor expansion of 1 in f 7.422 * [backup-simplify]: Simplify 1 into 1 7.422 * [backup-simplify]: Simplify (- 1) into -1 7.423 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.424 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.424 * [backup-simplify]: Simplify (log E) into 1 7.424 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 7.424 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 7.424 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 7.424 * [taylor]: Taking taylor expansion of 1 in f 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 7.424 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 7.424 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.425 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.425 * [taylor]: Taking taylor expansion of -1 in f 7.425 * [backup-simplify]: Simplify -1 into -1 7.425 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.425 * [taylor]: Taking taylor expansion of (+ n f) in f 7.425 * [taylor]: Taking taylor expansion of n in f 7.425 * [backup-simplify]: Simplify n into n 7.425 * [taylor]: Taking taylor expansion of f in f 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [taylor]: Taking taylor expansion of (- f n) in f 7.425 * [taylor]: Taking taylor expansion of f in f 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [taylor]: Taking taylor expansion of n in f 7.425 * [backup-simplify]: Simplify n into n 7.425 * [backup-simplify]: Simplify (+ n 0) into n 7.425 * [backup-simplify]: Simplify (- n) into (- n) 7.425 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.425 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.426 * [backup-simplify]: Simplify (* -1 -1) into 1 7.426 * [backup-simplify]: Simplify (exp 1) into E 7.426 * [taylor]: Taking taylor expansion of 1 in f 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [backup-simplify]: Simplify (- 1) into -1 7.427 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.428 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.428 * [backup-simplify]: Simplify (log E) into 1 7.428 * [taylor]: Taking taylor expansion of 1 in n 7.428 * [backup-simplify]: Simplify 1 into 1 7.428 * [backup-simplify]: Simplify 1 into 1 7.429 * [backup-simplify]: Simplify (+ 0 1) into 1 7.430 * [backup-simplify]: Simplify (- 0) into 0 7.430 * [backup-simplify]: Simplify (+ 1 0) into 1 7.431 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.432 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.432 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 7.433 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 7.434 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 7.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 7.436 * [taylor]: Taking taylor expansion of (/ 2 n) in n 7.436 * [taylor]: Taking taylor expansion of 2 in n 7.436 * [backup-simplify]: Simplify 2 into 2 7.436 * [taylor]: Taking taylor expansion of n in n 7.436 * [backup-simplify]: Simplify 0 into 0 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [backup-simplify]: Simplify (/ 2 1) into 2 7.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.437 * [backup-simplify]: Simplify 0 into 0 7.437 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify (+ 0 0) into 0 7.439 * [backup-simplify]: Simplify (- 0) into 0 7.439 * [backup-simplify]: Simplify (+ 0 0) into 0 7.440 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.442 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.444 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 7.445 * [backup-simplify]: Simplify (- 0) into 0 7.445 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 7.446 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 7.450 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 7.450 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 7.451 * [taylor]: Taking taylor expansion of 2 in n 7.451 * [backup-simplify]: Simplify 2 into 2 7.451 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.451 * [taylor]: Taking taylor expansion of n in n 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify 1 into 1 7.451 * [backup-simplify]: Simplify (* 1 1) into 1 7.452 * [backup-simplify]: Simplify (/ 2 1) into 2 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (+ 0 0) into 0 7.458 * [backup-simplify]: Simplify (- 0) into 0 7.458 * [backup-simplify]: Simplify (+ 0 0) into 0 7.460 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 7.463 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 7.467 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 7.467 * [backup-simplify]: Simplify (- 0) into 0 7.468 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 7.469 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 7.477 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 7.477 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 7.477 * [taylor]: Taking taylor expansion of 2 in n 7.477 * [backup-simplify]: Simplify 2 into 2 7.477 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.477 * [taylor]: Taking taylor expansion of n in n 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (* 1 1) into 1 7.478 * [backup-simplify]: Simplify (* 1 1) into 1 7.478 * [backup-simplify]: Simplify (/ 2 1) into 2 7.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 7.489 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 7.489 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 7.489 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 7.489 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 7.489 * [taylor]: Taking taylor expansion of 1 in n 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.490 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 7.490 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.490 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.490 * [taylor]: Taking taylor expansion of -1 in n 7.490 * [backup-simplify]: Simplify -1 into -1 7.490 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.490 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.490 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.490 * [taylor]: Taking taylor expansion of f in n 7.490 * [backup-simplify]: Simplify f into f 7.490 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.490 * [taylor]: Taking taylor expansion of n in n 7.490 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ 1 1) into 1 7.491 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.491 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.491 * [taylor]: Taking taylor expansion of f in n 7.491 * [backup-simplify]: Simplify f into f 7.491 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.491 * [taylor]: Taking taylor expansion of n in n 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ 1 1) into 1 7.492 * [backup-simplify]: Simplify (+ 0 1) into 1 7.492 * [backup-simplify]: Simplify (- 1) into -1 7.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.493 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.494 * [backup-simplify]: Simplify (* -1 -1) into 1 7.494 * [backup-simplify]: Simplify (exp 1) into E 7.494 * [taylor]: Taking taylor expansion of 1 in n 7.494 * [backup-simplify]: Simplify 1 into 1 7.494 * [backup-simplify]: Simplify (- 1) into -1 7.494 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.495 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.495 * [backup-simplify]: Simplify (log E) into 1 7.495 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.495 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 7.495 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.495 * [taylor]: Taking taylor expansion of 1 in f 7.495 * [backup-simplify]: Simplify 1 into 1 7.495 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.495 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 7.495 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.495 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.495 * [taylor]: Taking taylor expansion of -1 in f 7.495 * [backup-simplify]: Simplify -1 into -1 7.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.495 * [taylor]: Taking taylor expansion of f in f 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.496 * [backup-simplify]: Simplify (/ 1 1) into 1 7.496 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.496 * [taylor]: Taking taylor expansion of n in f 7.496 * [backup-simplify]: Simplify n into n 7.496 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.496 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.496 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.496 * [taylor]: Taking taylor expansion of f in f 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.496 * [backup-simplify]: Simplify (/ 1 1) into 1 7.496 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.496 * [taylor]: Taking taylor expansion of n in f 7.496 * [backup-simplify]: Simplify n into n 7.496 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.497 * [backup-simplify]: Simplify (+ 1 0) into 1 7.497 * [backup-simplify]: Simplify (+ 1 0) into 1 7.497 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [backup-simplify]: Simplify (* -1 1) into -1 7.498 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.498 * [taylor]: Taking taylor expansion of 1 in f 7.498 * [backup-simplify]: Simplify 1 into 1 7.498 * [backup-simplify]: Simplify (- 1) into -1 7.499 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.500 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.501 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.501 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.501 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 7.501 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 7.501 * [taylor]: Taking taylor expansion of 1 in f 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.501 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 7.501 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.501 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.501 * [taylor]: Taking taylor expansion of -1 in f 7.501 * [backup-simplify]: Simplify -1 into -1 7.501 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.501 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.501 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.501 * [taylor]: Taking taylor expansion of f in f 7.501 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ 1 1) into 1 7.502 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.502 * [taylor]: Taking taylor expansion of n in f 7.502 * [backup-simplify]: Simplify n into n 7.502 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.502 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.502 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.502 * [taylor]: Taking taylor expansion of f in f 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ 1 1) into 1 7.502 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.502 * [taylor]: Taking taylor expansion of n in f 7.502 * [backup-simplify]: Simplify n into n 7.502 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.502 * [backup-simplify]: Simplify (+ 1 0) into 1 7.503 * [backup-simplify]: Simplify (+ 1 0) into 1 7.503 * [backup-simplify]: Simplify (/ 1 1) into 1 7.503 * [backup-simplify]: Simplify (* -1 1) into -1 7.504 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.504 * [taylor]: Taking taylor expansion of 1 in f 7.504 * [backup-simplify]: Simplify 1 into 1 7.504 * [backup-simplify]: Simplify (- 1) into -1 7.505 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.506 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.507 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.507 * [taylor]: Taking taylor expansion of -1 in n 7.507 * [backup-simplify]: Simplify -1 into -1 7.507 * [backup-simplify]: Simplify -1 into -1 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.508 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.508 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.509 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.510 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.510 * [backup-simplify]: Simplify (- 0) into 0 7.511 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 7.511 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 7.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 7.513 * [taylor]: Taking taylor expansion of (/ -2 n) in n 7.513 * [taylor]: Taking taylor expansion of -2 in n 7.513 * [backup-simplify]: Simplify -2 into -2 7.513 * [taylor]: Taking taylor expansion of n in n 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.513 * [backup-simplify]: Simplify (/ -2 1) into -2 7.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.515 * [backup-simplify]: Simplify (+ 0 0) into 0 7.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify (+ 0 0) into 0 7.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.522 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.523 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.523 * [backup-simplify]: Simplify (- 0) into 0 7.524 * [backup-simplify]: Simplify (+ 0 0) into 0 7.524 * [backup-simplify]: Simplify (+ 0 0) into 0 7.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 7.528 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 7.528 * [taylor]: Taking taylor expansion of -2 in n 7.528 * [backup-simplify]: Simplify -2 into -2 7.528 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.528 * [taylor]: Taking taylor expansion of n in n 7.528 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify 1 into 1 7.529 * [backup-simplify]: Simplify (* 1 1) into 1 7.529 * [backup-simplify]: Simplify (/ -2 1) into -2 7.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.533 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.537 * [backup-simplify]: Simplify (+ 0 0) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.539 * [backup-simplify]: Simplify (- 0) into 0 7.539 * [backup-simplify]: Simplify (+ 0 0) into 0 7.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 7.545 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.550 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.550 * [backup-simplify]: Simplify (- 0) into 0 7.552 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 7.553 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.564 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 7.564 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 7.564 * [taylor]: Taking taylor expansion of -2 in n 7.564 * [backup-simplify]: Simplify -2 into -2 7.564 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.564 * [taylor]: Taking taylor expansion of n in n 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify 1 into 1 7.565 * [backup-simplify]: Simplify (* 1 1) into 1 7.565 * [backup-simplify]: Simplify (* 1 1) into 1 7.565 * [backup-simplify]: Simplify (/ -2 1) into -2 7.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify -1 into -1 7.573 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 7.573 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 7.573 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.573 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 7.573 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.573 * [taylor]: Taking taylor expansion of 1 in n 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.574 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 7.574 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.574 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.574 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.574 * [taylor]: Taking taylor expansion of f in n 7.574 * [backup-simplify]: Simplify f into f 7.574 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.574 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.574 * [taylor]: Taking taylor expansion of n in n 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (/ 1 1) into 1 7.574 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.574 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.574 * [taylor]: Taking taylor expansion of n in n 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (/ 1 1) into 1 7.574 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.575 * [taylor]: Taking taylor expansion of f in n 7.575 * [backup-simplify]: Simplify f into f 7.575 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.575 * [backup-simplify]: Simplify (+ 0 1) into 1 7.575 * [backup-simplify]: Simplify (+ 1 0) into 1 7.575 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [backup-simplify]: Simplify (exp 1) into E 7.575 * [taylor]: Taking taylor expansion of 1 in n 7.576 * [backup-simplify]: Simplify 1 into 1 7.576 * [backup-simplify]: Simplify (- 1) into -1 7.576 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.577 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.577 * [backup-simplify]: Simplify (log E) into 1 7.577 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.577 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 7.577 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.577 * [taylor]: Taking taylor expansion of 1 in f 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.577 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 7.577 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.577 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.577 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.577 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.577 * [taylor]: Taking taylor expansion of f in f 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.578 * [backup-simplify]: Simplify (/ 1 1) into 1 7.578 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.578 * [taylor]: Taking taylor expansion of n in f 7.578 * [backup-simplify]: Simplify n into n 7.578 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.578 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.578 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.578 * [taylor]: Taking taylor expansion of n in f 7.578 * [backup-simplify]: Simplify n into n 7.578 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.578 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.578 * [taylor]: Taking taylor expansion of f in f 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify 1 into 1 7.578 * [backup-simplify]: Simplify (/ 1 1) into 1 7.578 * [backup-simplify]: Simplify (+ 1 0) into 1 7.579 * [backup-simplify]: Simplify (- 1) into -1 7.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.579 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.580 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.580 * [taylor]: Taking taylor expansion of 1 in f 7.580 * [backup-simplify]: Simplify 1 into 1 7.580 * [backup-simplify]: Simplify (- 1) into -1 7.581 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.582 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.582 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.582 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.583 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 7.583 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.583 * [taylor]: Taking taylor expansion of 1 in f 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.583 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 7.583 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.583 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.583 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.583 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.583 * [taylor]: Taking taylor expansion of f in f 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (/ 1 1) into 1 7.583 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.583 * [taylor]: Taking taylor expansion of n in f 7.583 * [backup-simplify]: Simplify n into n 7.583 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.583 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.583 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.583 * [taylor]: Taking taylor expansion of n in f 7.583 * [backup-simplify]: Simplify n into n 7.583 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.583 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.583 * [taylor]: Taking taylor expansion of f in f 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.584 * [backup-simplify]: Simplify (/ 1 1) into 1 7.584 * [backup-simplify]: Simplify (+ 1 0) into 1 7.584 * [backup-simplify]: Simplify (- 1) into -1 7.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.585 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.585 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.585 * [taylor]: Taking taylor expansion of 1 in f 7.585 * [backup-simplify]: Simplify 1 into 1 7.586 * [backup-simplify]: Simplify (- 1) into -1 7.586 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.587 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.588 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.588 * [taylor]: Taking taylor expansion of -1 in n 7.588 * [backup-simplify]: Simplify -1 into -1 7.588 * [backup-simplify]: Simplify -1 into -1 7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.590 * [backup-simplify]: Simplify (- 0) into 0 7.590 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.590 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.591 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.591 * [backup-simplify]: Simplify (- 0) into 0 7.592 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 7.592 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 7.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 7.594 * [taylor]: Taking taylor expansion of (/ -2 n) in n 7.594 * [taylor]: Taking taylor expansion of -2 in n 7.594 * [backup-simplify]: Simplify -2 into -2 7.594 * [taylor]: Taking taylor expansion of n in n 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (/ -2 1) into -2 7.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 0 into 0 7.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.596 * [backup-simplify]: Simplify (+ 0 0) into 0 7.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.598 * [backup-simplify]: Simplify (- 0) into 0 7.598 * [backup-simplify]: Simplify (+ 0 0) into 0 7.600 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.603 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.603 * [backup-simplify]: Simplify (- 0) into 0 7.603 * [backup-simplify]: Simplify (+ 0 0) into 0 7.604 * [backup-simplify]: Simplify (+ 0 0) into 0 7.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 7.609 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 7.609 * [taylor]: Taking taylor expansion of -2 in n 7.609 * [backup-simplify]: Simplify -2 into -2 7.609 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.609 * [taylor]: Taking taylor expansion of n in n 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify 1 into 1 7.610 * [backup-simplify]: Simplify (* 1 1) into 1 7.610 * [backup-simplify]: Simplify (/ -2 1) into -2 7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.617 * [backup-simplify]: Simplify (+ 0 0) into 0 7.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.619 * [backup-simplify]: Simplify (- 0) into 0 7.620 * [backup-simplify]: Simplify (+ 0 0) into 0 7.623 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.628 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.628 * [backup-simplify]: Simplify (- 0) into 0 7.629 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 7.631 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.641 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 7.641 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 7.642 * [taylor]: Taking taylor expansion of -2 in n 7.642 * [backup-simplify]: Simplify -2 into -2 7.642 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.642 * [taylor]: Taking taylor expansion of n in n 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.642 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (* 1 1) into 1 7.643 * [backup-simplify]: Simplify (/ -2 1) into -2 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify -1 into -1 7.653 * * * [progress]: simplifying candidates 7.653 * * * * [progress]: [ 1 / 131 ] simplifiying candidate #real (real->posit16 (expm1 (/ (- (+ f n)) (- f n)))))))> 7.653 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 11 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 7.653 * * * * [progress]: [ 13 / 131 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))))> 7.654 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 16 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 21 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 22 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 7.654 * * * * [progress]: [ 28 / 131 ] 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[progress]: [ 44 / 131 ] simplifiying candidate # 7.655 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 47 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 48 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 50 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 52 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 7.656 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 72 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 7.657 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 88 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 7.658 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 102 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 108 / 131 ] simplifiying candidate # 7.659 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 111 / 131 ] simplifiying candidate #real (real->posit16 (log1p (expm1 (/ (- (+ f n)) (- f n)))))))> 7.660 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 118 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 119 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 7.660 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 7.661 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 7.661 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 7.661 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 7.661 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 7.663 * [simplify]: Simplifying: (real->posit16 (expm1 (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 7.669 * * [simplify]: iteration 0: 161 enodes 7.912 * * [simplify]: iteration 1: 353 enodes 8.354 * * [simplify]: iteration 2: 741 enodes 9.414 * * [simplify]: iteration 3: 2294 enodes 12.545 * * [simplify]: iteration complete: 5001 enodes 12.545 * * [simplify]: Extracting #0: cost 100 inf + 0 12.548 * * [simplify]: Extracting #1: cost 648 inf + 3 12.558 * * [simplify]: Extracting #2: cost 1002 inf + 10355 12.603 * * [simplify]: Extracting #3: cost 583 inf + 116136 12.659 * * [simplify]: Extracting #4: cost 117 inf + 226824 12.754 * * [simplify]: Extracting #5: cost 43 inf + 247695 12.831 * * [simplify]: Extracting #6: cost 7 inf + 253197 12.937 * * [simplify]: Extracting #7: cost 0 inf + 254968 13.025 * [simplify]: Simplified to: (real->posit16 (expm1 (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (* (/ (+ 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))) (/ (cbrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (* (/ (cbrt (+ f n)) (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 f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (cbrt (- f n))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (* (cbrt (+ f n)) (/ (cbrt (+ f n)) (sqrt (- f n)))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (- (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ f n)) (cbrt (+ f n))) (- (/ (cbrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (- (/ (+ f n) (- (sqrt f) (sqrt n)))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (* (* f f) f) (* n (* n n)))) (- (/ 1 (- f n))) (fma n (* n (- f n)) (* (- f n) (* (- f n) f))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ -1 E) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 13.033 * * * [progress]: adding candidates to table 14.263 * * [progress]: iteration 3 / 4 14.263 * * * [progress]: picking best candidate 14.322 * * * * [pick]: Picked # 14.322 * * * [progress]: localizing error 14.467 * * * [progress]: generating rewritten candidates 14.467 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 14.469 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 14.481 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 14.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 14.635 * * * [progress]: generating series expansions 14.635 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 14.636 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 14.636 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 14.636 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 14.636 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 14.636 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 14.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 14.636 * [taylor]: Taking taylor expansion of -1 in n 14.636 * [backup-simplify]: Simplify -1 into -1 14.636 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 14.636 * [taylor]: Taking taylor expansion of (+ n f) in n 14.636 * [taylor]: Taking taylor expansion of n in n 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 1 into 1 14.636 * [taylor]: Taking taylor expansion of f in n 14.636 * [backup-simplify]: Simplify f into f 14.636 * [taylor]: Taking taylor expansion of (- f n) in n 14.636 * [taylor]: Taking taylor expansion of f in n 14.636 * [backup-simplify]: Simplify f into f 14.636 * [taylor]: Taking taylor expansion of n in n 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 1 into 1 14.636 * [backup-simplify]: Simplify (+ 0 f) into f 14.638 * [backup-simplify]: Simplify (- 0) into 0 14.639 * [backup-simplify]: Simplify (+ f 0) into f 14.639 * [backup-simplify]: Simplify (/ f f) into 1 14.639 * [backup-simplify]: Simplify (* -1 1) into -1 14.639 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.639 * [taylor]: Taking taylor expansion of 1 in n 14.639 * [backup-simplify]: Simplify 1 into 1 14.639 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 14.640 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 14.640 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 14.640 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.640 * [taylor]: Taking taylor expansion of -1 in f 14.640 * [backup-simplify]: Simplify -1 into -1 14.640 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.640 * [taylor]: Taking taylor expansion of (+ n f) in f 14.640 * [taylor]: Taking taylor expansion of n in f 14.640 * [backup-simplify]: Simplify n into n 14.640 * [taylor]: Taking taylor expansion of f in f 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.640 * [taylor]: Taking taylor expansion of (- f n) in f 14.640 * [taylor]: Taking taylor expansion of f in f 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.640 * [taylor]: Taking taylor expansion of n in f 14.640 * [backup-simplify]: Simplify n into n 14.640 * [backup-simplify]: Simplify (+ n 0) into n 14.640 * [backup-simplify]: Simplify (- n) into (- n) 14.640 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.640 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.640 * [backup-simplify]: Simplify (* -1 -1) into 1 14.640 * [backup-simplify]: Simplify (exp 1) into E 14.640 * [taylor]: Taking taylor expansion of 1 in f 14.641 * [backup-simplify]: Simplify 1 into 1 14.641 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 14.641 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 14.641 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 14.641 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.641 * [taylor]: Taking taylor expansion of -1 in f 14.641 * [backup-simplify]: Simplify -1 into -1 14.641 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.641 * [taylor]: Taking taylor expansion of (+ n f) in f 14.641 * [taylor]: Taking taylor expansion of n in f 14.641 * [backup-simplify]: Simplify n into n 14.641 * [taylor]: Taking taylor expansion of f in f 14.641 * [backup-simplify]: Simplify 0 into 0 14.641 * [backup-simplify]: Simplify 1 into 1 14.641 * [taylor]: Taking taylor expansion of (- f n) in f 14.641 * [taylor]: Taking taylor expansion of f in f 14.641 * [backup-simplify]: Simplify 0 into 0 14.641 * [backup-simplify]: Simplify 1 into 1 14.641 * [taylor]: Taking taylor expansion of n in f 14.641 * [backup-simplify]: Simplify n into n 14.641 * [backup-simplify]: Simplify (+ n 0) into n 14.641 * [backup-simplify]: Simplify (- n) into (- n) 14.641 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.641 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.642 * [backup-simplify]: Simplify (* -1 -1) into 1 14.642 * [backup-simplify]: Simplify (exp 1) into E 14.642 * [taylor]: Taking taylor expansion of 1 in f 14.642 * [backup-simplify]: Simplify 1 into 1 14.642 * [backup-simplify]: Simplify (- 1) into -1 14.642 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 14.642 * [taylor]: Taking taylor expansion of (- E 1) in n 14.642 * [taylor]: Taking taylor expansion of E in n 14.642 * [backup-simplify]: Simplify E into E 14.642 * [taylor]: Taking taylor expansion of 1 in n 14.642 * [backup-simplify]: Simplify 1 into 1 14.643 * [backup-simplify]: Simplify (- 1) into -1 14.643 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 14.643 * [backup-simplify]: Simplify (- E 1) into (- E 1) 14.644 * [backup-simplify]: Simplify (+ 0 1) into 1 14.644 * [backup-simplify]: Simplify (- 0) into 0 14.644 * [backup-simplify]: Simplify (+ 1 0) into 1 14.645 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 14.645 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 14.646 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 14.646 * [backup-simplify]: Simplify (- 0) into 0 14.646 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 14.646 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 14.646 * [taylor]: Taking taylor expansion of 2 in n 14.646 * [backup-simplify]: Simplify 2 into 2 14.646 * [taylor]: Taking taylor expansion of (/ E n) in n 14.646 * [taylor]: Taking taylor expansion of E in n 14.646 * [backup-simplify]: Simplify E into E 14.646 * [taylor]: Taking taylor expansion of n in n 14.646 * [backup-simplify]: Simplify 0 into 0 14.646 * [backup-simplify]: Simplify 1 into 1 14.647 * [backup-simplify]: Simplify (/ E 1) into E 14.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 14.648 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 14.648 * [backup-simplify]: Simplify 0 into 0 14.648 * [backup-simplify]: Simplify (- 0) into 0 14.648 * [backup-simplify]: Simplify (+ 0 0) into 0 14.648 * [backup-simplify]: Simplify 0 into 0 14.649 * [backup-simplify]: Simplify (+ 0 0) into 0 14.649 * [backup-simplify]: Simplify (- 0) into 0 14.649 * [backup-simplify]: Simplify (+ 0 0) into 0 14.650 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 14.651 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 14.652 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 14.652 * [backup-simplify]: Simplify (- 0) into 0 14.653 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 14.653 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 14.653 * [taylor]: Taking taylor expansion of 4 in n 14.653 * [backup-simplify]: Simplify 4 into 4 14.653 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 14.653 * [taylor]: Taking taylor expansion of E in n 14.653 * [backup-simplify]: Simplify E into E 14.653 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.653 * [taylor]: Taking taylor expansion of n in n 14.653 * [backup-simplify]: Simplify 0 into 0 14.653 * [backup-simplify]: Simplify 1 into 1 14.653 * [backup-simplify]: Simplify (* 1 1) into 1 14.654 * [backup-simplify]: Simplify (/ E 1) into E 14.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 14.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.657 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 14.657 * [backup-simplify]: Simplify 0 into 0 14.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 14.660 * [backup-simplify]: Simplify 0 into 0 14.660 * [backup-simplify]: Simplify (- 0) into 0 14.660 * [backup-simplify]: Simplify (+ 0 0) into 0 14.661 * [backup-simplify]: Simplify 0 into 0 14.661 * [backup-simplify]: Simplify (+ 0 0) into 0 14.661 * [backup-simplify]: Simplify (- 0) into 0 14.662 * [backup-simplify]: Simplify (+ 0 0) into 0 14.664 * [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)))) 14.668 * [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))) 14.672 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 14.672 * [backup-simplify]: Simplify (- 0) into 0 14.673 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 14.673 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 14.673 * [taylor]: Taking taylor expansion of 22/3 in n 14.673 * [backup-simplify]: Simplify 22/3 into 22/3 14.673 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 14.673 * [taylor]: Taking taylor expansion of E in n 14.673 * [backup-simplify]: Simplify E into E 14.673 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.673 * [taylor]: Taking taylor expansion of n in n 14.673 * [backup-simplify]: Simplify 0 into 0 14.673 * [backup-simplify]: Simplify 1 into 1 14.674 * [backup-simplify]: Simplify (* 1 1) into 1 14.674 * [backup-simplify]: Simplify (* 1 1) into 1 14.675 * [backup-simplify]: Simplify (/ E 1) into E 14.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 14.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.686 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 14.686 * [backup-simplify]: Simplify 0 into 0 14.686 * [backup-simplify]: Simplify (- E 1) into (- E 1) 14.687 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 14.687 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 14.687 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 14.688 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.688 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 14.688 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 14.688 * [taylor]: Taking taylor expansion of -1 in n 14.688 * [backup-simplify]: Simplify -1 into -1 14.688 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 14.688 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.688 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.688 * [taylor]: Taking taylor expansion of f in n 14.688 * [backup-simplify]: Simplify f into f 14.688 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.688 * [taylor]: Taking taylor expansion of n in n 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 1 into 1 14.689 * [backup-simplify]: Simplify (/ 1 1) into 1 14.689 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 14.689 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.689 * [taylor]: Taking taylor expansion of f in n 14.689 * [backup-simplify]: Simplify f into f 14.689 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.689 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.689 * [taylor]: Taking taylor expansion of n in n 14.689 * [backup-simplify]: Simplify 0 into 0 14.689 * [backup-simplify]: Simplify 1 into 1 14.689 * [backup-simplify]: Simplify (/ 1 1) into 1 14.690 * [backup-simplify]: Simplify (+ 0 1) into 1 14.690 * [backup-simplify]: Simplify (- 1) into -1 14.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.691 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.692 * [backup-simplify]: Simplify (* -1 -1) into 1 14.692 * [backup-simplify]: Simplify (exp 1) into E 14.692 * [taylor]: Taking taylor expansion of 1 in n 14.692 * [backup-simplify]: Simplify 1 into 1 14.692 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.692 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.692 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.692 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.692 * [taylor]: Taking taylor expansion of -1 in f 14.692 * [backup-simplify]: Simplify -1 into -1 14.692 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.692 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.692 * [taylor]: Taking taylor expansion of f in f 14.692 * [backup-simplify]: Simplify 0 into 0 14.692 * [backup-simplify]: Simplify 1 into 1 14.693 * [backup-simplify]: Simplify (/ 1 1) into 1 14.693 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.693 * [taylor]: Taking taylor expansion of n in f 14.693 * [backup-simplify]: Simplify n into n 14.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.693 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.693 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.693 * [taylor]: Taking taylor expansion of f in f 14.693 * [backup-simplify]: Simplify 0 into 0 14.693 * [backup-simplify]: Simplify 1 into 1 14.693 * [backup-simplify]: Simplify (/ 1 1) into 1 14.693 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.693 * [taylor]: Taking taylor expansion of n in f 14.693 * [backup-simplify]: Simplify n into n 14.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.694 * [backup-simplify]: Simplify (+ 1 0) into 1 14.694 * [backup-simplify]: Simplify (+ 1 0) into 1 14.694 * [backup-simplify]: Simplify (/ 1 1) into 1 14.695 * [backup-simplify]: Simplify (* -1 1) into -1 14.695 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.695 * [taylor]: Taking taylor expansion of 1 in f 14.695 * [backup-simplify]: Simplify 1 into 1 14.695 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.695 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.695 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.695 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.695 * [taylor]: Taking taylor expansion of -1 in f 14.695 * [backup-simplify]: Simplify -1 into -1 14.695 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.695 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.695 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.695 * [taylor]: Taking taylor expansion of f in f 14.695 * [backup-simplify]: Simplify 0 into 0 14.695 * [backup-simplify]: Simplify 1 into 1 14.696 * [backup-simplify]: Simplify (/ 1 1) into 1 14.696 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.696 * [taylor]: Taking taylor expansion of n in f 14.696 * [backup-simplify]: Simplify n into n 14.696 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.696 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.696 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.696 * [taylor]: Taking taylor expansion of f in f 14.696 * [backup-simplify]: Simplify 0 into 0 14.696 * [backup-simplify]: Simplify 1 into 1 14.696 * [backup-simplify]: Simplify (/ 1 1) into 1 14.696 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.696 * [taylor]: Taking taylor expansion of n in f 14.696 * [backup-simplify]: Simplify n into n 14.696 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.696 * [backup-simplify]: Simplify (+ 1 0) into 1 14.697 * [backup-simplify]: Simplify (+ 1 0) into 1 14.697 * [backup-simplify]: Simplify (/ 1 1) into 1 14.697 * [backup-simplify]: Simplify (* -1 1) into -1 14.698 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.698 * [taylor]: Taking taylor expansion of 1 in f 14.698 * [backup-simplify]: Simplify 1 into 1 14.698 * [backup-simplify]: Simplify (- 1) into -1 14.699 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 14.699 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 14.699 * [taylor]: Taking taylor expansion of (exp -1) in n 14.699 * [taylor]: Taking taylor expansion of -1 in n 14.699 * [backup-simplify]: Simplify -1 into -1 14.699 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.699 * [taylor]: Taking taylor expansion of 1 in n 14.699 * [backup-simplify]: Simplify 1 into 1 14.700 * [backup-simplify]: Simplify (- 1) into -1 14.700 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 14.701 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 14.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.702 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.702 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 14.702 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 14.703 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 14.703 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 14.704 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 14.707 * [backup-simplify]: Simplify (- 0) into 0 14.708 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 14.708 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 14.708 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 14.708 * [taylor]: Taking taylor expansion of 2 in n 14.708 * [backup-simplify]: Simplify 2 into 2 14.708 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 14.708 * [taylor]: Taking taylor expansion of (exp -1) in n 14.708 * [taylor]: Taking taylor expansion of -1 in n 14.708 * [backup-simplify]: Simplify -1 into -1 14.708 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.708 * [taylor]: Taking taylor expansion of n in n 14.708 * [backup-simplify]: Simplify 0 into 0 14.709 * [backup-simplify]: Simplify 1 into 1 14.709 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.710 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 14.711 * [backup-simplify]: Simplify (- 0) into 0 14.711 * [backup-simplify]: Simplify 0 into 0 14.712 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.712 * [backup-simplify]: Simplify (- 0) into 0 14.713 * [backup-simplify]: Simplify (+ 0 0) into 0 14.713 * [backup-simplify]: Simplify 0 into 0 14.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.714 * [backup-simplify]: Simplify (+ 0 0) into 0 14.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.715 * [backup-simplify]: Simplify (- 0) into 0 14.715 * [backup-simplify]: Simplify (+ 0 0) into 0 14.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 14.717 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 14.719 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 14.719 * [backup-simplify]: Simplify (- 0) into 0 14.719 * [backup-simplify]: Simplify (+ 0 0) into 0 14.719 * [taylor]: Taking taylor expansion of 0 in n 14.719 * [backup-simplify]: Simplify 0 into 0 14.719 * [backup-simplify]: Simplify 0 into 0 14.720 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 14.723 * [backup-simplify]: Simplify (- 0) into 0 14.723 * [backup-simplify]: Simplify 0 into 0 14.725 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.726 * [backup-simplify]: Simplify (- 0) into 0 14.726 * [backup-simplify]: Simplify (+ 0 0) into 0 14.726 * [backup-simplify]: Simplify 0 into 0 14.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.728 * [backup-simplify]: Simplify (+ 0 0) into 0 14.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.730 * [backup-simplify]: Simplify (- 0) into 0 14.731 * [backup-simplify]: Simplify (+ 0 0) into 0 14.734 * [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))) 14.736 * [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)))) 14.739 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 14.740 * [backup-simplify]: Simplify (- 0) into 0 14.740 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 14.740 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 14.740 * [taylor]: Taking taylor expansion of 2/3 in n 14.740 * [backup-simplify]: Simplify 2/3 into 2/3 14.740 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 14.741 * [taylor]: Taking taylor expansion of (exp -1) in n 14.741 * [taylor]: Taking taylor expansion of -1 in n 14.741 * [backup-simplify]: Simplify -1 into -1 14.741 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.741 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.741 * [taylor]: Taking taylor expansion of n in n 14.741 * [backup-simplify]: Simplify 0 into 0 14.741 * [backup-simplify]: Simplify 1 into 1 14.741 * [backup-simplify]: Simplify (* 1 1) into 1 14.742 * [backup-simplify]: Simplify (* 1 1) into 1 14.742 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.744 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.747 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.750 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.752 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 14.752 * [backup-simplify]: Simplify 0 into 0 14.753 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 14.753 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 14.754 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 14.754 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 14.754 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.754 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 14.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 14.754 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.754 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.754 * [taylor]: Taking taylor expansion of f in n 14.754 * [backup-simplify]: Simplify f into f 14.754 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.754 * [taylor]: Taking taylor expansion of n in n 14.754 * [backup-simplify]: Simplify 0 into 0 14.754 * [backup-simplify]: Simplify 1 into 1 14.754 * [backup-simplify]: Simplify (/ 1 1) into 1 14.754 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 14.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.754 * [taylor]: Taking taylor expansion of n in n 14.754 * [backup-simplify]: Simplify 0 into 0 14.754 * [backup-simplify]: Simplify 1 into 1 14.755 * [backup-simplify]: Simplify (/ 1 1) into 1 14.755 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.755 * [taylor]: Taking taylor expansion of f in n 14.755 * [backup-simplify]: Simplify f into f 14.755 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.755 * [backup-simplify]: Simplify (+ 0 1) into 1 14.755 * [backup-simplify]: Simplify (+ 1 0) into 1 14.756 * [backup-simplify]: Simplify (/ 1 1) into 1 14.756 * [backup-simplify]: Simplify (exp 1) into E 14.756 * [taylor]: Taking taylor expansion of 1 in n 14.756 * [backup-simplify]: Simplify 1 into 1 14.756 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.756 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.756 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.756 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.756 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.756 * [taylor]: Taking taylor expansion of f in f 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 1 into 1 14.756 * [backup-simplify]: Simplify (/ 1 1) into 1 14.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.756 * [taylor]: Taking taylor expansion of n in f 14.756 * [backup-simplify]: Simplify n into n 14.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.756 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.756 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.756 * [taylor]: Taking taylor expansion of n in f 14.756 * [backup-simplify]: Simplify n into n 14.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.756 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.756 * [taylor]: Taking taylor expansion of f in f 14.756 * [backup-simplify]: Simplify 0 into 0 14.756 * [backup-simplify]: Simplify 1 into 1 14.757 * [backup-simplify]: Simplify (/ 1 1) into 1 14.757 * [backup-simplify]: Simplify (+ 1 0) into 1 14.757 * [backup-simplify]: Simplify (- 1) into -1 14.758 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.758 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.758 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.758 * [taylor]: Taking taylor expansion of 1 in f 14.758 * [backup-simplify]: Simplify 1 into 1 14.758 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.758 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.758 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.758 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.758 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.758 * [taylor]: Taking taylor expansion of f in f 14.758 * [backup-simplify]: Simplify 0 into 0 14.759 * [backup-simplify]: Simplify 1 into 1 14.759 * [backup-simplify]: Simplify (/ 1 1) into 1 14.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.759 * [taylor]: Taking taylor expansion of n in f 14.759 * [backup-simplify]: Simplify n into n 14.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.759 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.759 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.759 * [taylor]: Taking taylor expansion of n in f 14.759 * [backup-simplify]: Simplify n into n 14.759 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.759 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.759 * [taylor]: Taking taylor expansion of f in f 14.759 * [backup-simplify]: Simplify 0 into 0 14.759 * [backup-simplify]: Simplify 1 into 1 14.759 * [backup-simplify]: Simplify (/ 1 1) into 1 14.760 * [backup-simplify]: Simplify (+ 1 0) into 1 14.760 * [backup-simplify]: Simplify (- 1) into -1 14.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.760 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.761 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.761 * [taylor]: Taking taylor expansion of 1 in f 14.761 * [backup-simplify]: Simplify 1 into 1 14.761 * [backup-simplify]: Simplify (- 1) into -1 14.762 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 14.762 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 14.762 * [taylor]: Taking taylor expansion of (exp -1) in n 14.762 * [taylor]: Taking taylor expansion of -1 in n 14.762 * [backup-simplify]: Simplify -1 into -1 14.762 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.762 * [taylor]: Taking taylor expansion of 1 in n 14.762 * [backup-simplify]: Simplify 1 into 1 14.763 * [backup-simplify]: Simplify (- 1) into -1 14.763 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 14.764 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 14.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.765 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.765 * [backup-simplify]: Simplify (- 0) into 0 14.766 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 14.766 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 14.768 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 14.768 * [backup-simplify]: Simplify (- 0) into 0 14.769 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 14.769 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 14.769 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 14.769 * [taylor]: Taking taylor expansion of 2 in n 14.769 * [backup-simplify]: Simplify 2 into 2 14.769 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 14.769 * [taylor]: Taking taylor expansion of (exp -1) in n 14.769 * [taylor]: Taking taylor expansion of -1 in n 14.769 * [backup-simplify]: Simplify -1 into -1 14.770 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.770 * [taylor]: Taking taylor expansion of n in n 14.770 * [backup-simplify]: Simplify 0 into 0 14.770 * [backup-simplify]: Simplify 1 into 1 14.771 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.773 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.775 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 14.775 * [backup-simplify]: Simplify (- 0) into 0 14.775 * [backup-simplify]: Simplify 0 into 0 14.776 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.777 * [backup-simplify]: Simplify (- 0) into 0 14.777 * [backup-simplify]: Simplify (+ 0 0) into 0 14.777 * [backup-simplify]: Simplify 0 into 0 14.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.779 * [backup-simplify]: Simplify (+ 0 0) into 0 14.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.781 * [backup-simplify]: Simplify (- 0) into 0 14.781 * [backup-simplify]: Simplify (+ 0 0) into 0 14.782 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 14.784 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 14.784 * [backup-simplify]: Simplify (- 0) into 0 14.784 * [backup-simplify]: Simplify (+ 0 0) into 0 14.784 * [taylor]: Taking taylor expansion of 0 in n 14.785 * [backup-simplify]: Simplify 0 into 0 14.785 * [backup-simplify]: Simplify 0 into 0 14.786 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 14.787 * [backup-simplify]: Simplify (- 0) into 0 14.787 * [backup-simplify]: Simplify 0 into 0 14.788 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.789 * [backup-simplify]: Simplify (- 0) into 0 14.789 * [backup-simplify]: Simplify (+ 0 0) into 0 14.789 * [backup-simplify]: Simplify 0 into 0 14.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.790 * [backup-simplify]: Simplify (+ 0 0) into 0 14.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.791 * [backup-simplify]: Simplify (- 0) into 0 14.792 * [backup-simplify]: Simplify (+ 0 0) into 0 14.793 * [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)))) 14.796 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 14.796 * [backup-simplify]: Simplify (- 0) into 0 14.797 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 14.797 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 14.797 * [taylor]: Taking taylor expansion of 2/3 in n 14.797 * [backup-simplify]: Simplify 2/3 into 2/3 14.797 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 14.797 * [taylor]: Taking taylor expansion of (exp -1) in n 14.797 * [taylor]: Taking taylor expansion of -1 in n 14.797 * [backup-simplify]: Simplify -1 into -1 14.798 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.798 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.798 * [taylor]: Taking taylor expansion of n in n 14.798 * [backup-simplify]: Simplify 0 into 0 14.798 * [backup-simplify]: Simplify 1 into 1 14.798 * [backup-simplify]: Simplify (* 1 1) into 1 14.798 * [backup-simplify]: Simplify (* 1 1) into 1 14.799 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.801 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.804 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.806 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.809 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 14.809 * [backup-simplify]: Simplify 0 into 0 14.810 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 14.810 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 14.810 * [backup-simplify]: Simplify (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) into (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) 14.810 * [approximate]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in (f n) around 0 14.810 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in n 14.810 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 14.810 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 14.810 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 14.810 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 14.810 * [taylor]: Taking taylor expansion of -1 in n 14.810 * [backup-simplify]: Simplify -1 into -1 14.810 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 14.810 * [taylor]: Taking taylor expansion of (+ n f) in n 14.810 * [taylor]: Taking taylor expansion of n in n 14.810 * [backup-simplify]: Simplify 0 into 0 14.810 * [backup-simplify]: Simplify 1 into 1 14.810 * [taylor]: Taking taylor expansion of f in n 14.810 * [backup-simplify]: Simplify f into f 14.810 * [taylor]: Taking taylor expansion of (- f n) in n 14.811 * [taylor]: Taking taylor expansion of f in n 14.811 * [backup-simplify]: Simplify f into f 14.811 * [taylor]: Taking taylor expansion of n in n 14.811 * [backup-simplify]: Simplify 0 into 0 14.811 * [backup-simplify]: Simplify 1 into 1 14.811 * [backup-simplify]: Simplify (+ 0 f) into f 14.811 * [backup-simplify]: Simplify (- 0) into 0 14.811 * [backup-simplify]: Simplify (+ f 0) into f 14.811 * [backup-simplify]: Simplify (/ f f) into 1 14.811 * [backup-simplify]: Simplify (* -1 1) into -1 14.812 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.812 * [taylor]: Taking taylor expansion of 1 in n 14.812 * [backup-simplify]: Simplify 1 into 1 14.812 * [taylor]: Taking taylor expansion of 1 in n 14.812 * [backup-simplify]: Simplify 1 into 1 14.812 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in f 14.812 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 14.812 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 14.812 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 14.812 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.812 * [taylor]: Taking taylor expansion of -1 in f 14.812 * [backup-simplify]: Simplify -1 into -1 14.812 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.812 * [taylor]: Taking taylor expansion of (+ n f) in f 14.812 * [taylor]: Taking taylor expansion of n in f 14.812 * [backup-simplify]: Simplify n into n 14.812 * [taylor]: Taking taylor expansion of f in f 14.812 * [backup-simplify]: Simplify 0 into 0 14.812 * [backup-simplify]: Simplify 1 into 1 14.812 * [taylor]: Taking taylor expansion of (- f n) in f 14.812 * [taylor]: Taking taylor expansion of f in f 14.812 * [backup-simplify]: Simplify 0 into 0 14.812 * [backup-simplify]: Simplify 1 into 1 14.812 * [taylor]: Taking taylor expansion of n in f 14.812 * [backup-simplify]: Simplify n into n 14.812 * [backup-simplify]: Simplify (+ n 0) into n 14.812 * [backup-simplify]: Simplify (- n) into (- n) 14.812 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.812 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.813 * [backup-simplify]: Simplify (* -1 -1) into 1 14.813 * [backup-simplify]: Simplify (exp 1) into E 14.813 * [taylor]: Taking taylor expansion of 1 in f 14.813 * [backup-simplify]: Simplify 1 into 1 14.813 * [taylor]: Taking taylor expansion of 1 in f 14.813 * [backup-simplify]: Simplify 1 into 1 14.813 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in f 14.813 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 14.813 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 14.813 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 14.813 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.813 * [taylor]: Taking taylor expansion of -1 in f 14.813 * [backup-simplify]: Simplify -1 into -1 14.813 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.813 * [taylor]: Taking taylor expansion of (+ n f) in f 14.813 * [taylor]: Taking taylor expansion of n in f 14.813 * [backup-simplify]: Simplify n into n 14.813 * [taylor]: Taking taylor expansion of f in f 14.813 * [backup-simplify]: Simplify 0 into 0 14.813 * [backup-simplify]: Simplify 1 into 1 14.813 * [taylor]: Taking taylor expansion of (- f n) in f 14.813 * [taylor]: Taking taylor expansion of f in f 14.813 * [backup-simplify]: Simplify 0 into 0 14.813 * [backup-simplify]: Simplify 1 into 1 14.813 * [taylor]: Taking taylor expansion of n in f 14.813 * [backup-simplify]: Simplify n into n 14.814 * [backup-simplify]: Simplify (+ n 0) into n 14.814 * [backup-simplify]: Simplify (- n) into (- n) 14.814 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.814 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.814 * [backup-simplify]: Simplify (* -1 -1) into 1 14.814 * [backup-simplify]: Simplify (exp 1) into E 14.815 * [taylor]: Taking taylor expansion of 1 in f 14.815 * [backup-simplify]: Simplify 1 into 1 14.815 * [taylor]: Taking taylor expansion of 1 in f 14.815 * [backup-simplify]: Simplify 1 into 1 14.815 * [backup-simplify]: Simplify (- 1) into -1 14.816 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 14.817 * [backup-simplify]: Simplify (+ (- E 1) 1) into E 14.817 * [taylor]: Taking taylor expansion of E in n 14.817 * [backup-simplify]: Simplify E into E 14.817 * [backup-simplify]: Simplify E into E 14.818 * [backup-simplify]: Simplify (+ 0 1) into 1 14.818 * [backup-simplify]: Simplify (- 0) into 0 14.818 * [backup-simplify]: Simplify (+ 1 0) into 1 14.819 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 14.824 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 14.825 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 14.826 * [backup-simplify]: Simplify (- 0) into 0 14.826 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 14.826 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 14.826 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 14.826 * [taylor]: Taking taylor expansion of 2 in n 14.826 * [backup-simplify]: Simplify 2 into 2 14.826 * [taylor]: Taking taylor expansion of (/ E n) in n 14.826 * [taylor]: Taking taylor expansion of E in n 14.826 * [backup-simplify]: Simplify E into E 14.826 * [taylor]: Taking taylor expansion of n in n 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify 1 into 1 14.827 * [backup-simplify]: Simplify (/ E 1) into E 14.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 14.828 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify (+ 0 0) into 0 14.828 * [backup-simplify]: Simplify (- 0) into 0 14.829 * [backup-simplify]: Simplify (+ 0 0) into 0 14.829 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 14.830 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 14.831 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 14.832 * [backup-simplify]: Simplify (- 0) into 0 14.832 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 14.832 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 14.832 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 14.832 * [taylor]: Taking taylor expansion of 4 in n 14.832 * [backup-simplify]: Simplify 4 into 4 14.832 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 14.832 * [taylor]: Taking taylor expansion of E in n 14.832 * [backup-simplify]: Simplify E into E 14.832 * [taylor]: Taking taylor expansion of (pow n 2) in n 14.832 * [taylor]: Taking taylor expansion of n in n 14.833 * [backup-simplify]: Simplify 0 into 0 14.833 * [backup-simplify]: Simplify 1 into 1 14.833 * [backup-simplify]: Simplify (* 1 1) into 1 14.833 * [backup-simplify]: Simplify (/ E 1) into E 14.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 14.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.836 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 14.836 * [backup-simplify]: Simplify 0 into 0 14.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 14.838 * [backup-simplify]: Simplify 0 into 0 14.838 * [backup-simplify]: Simplify 0 into 0 14.838 * [backup-simplify]: Simplify (+ 0 0) into 0 14.838 * [backup-simplify]: Simplify (- 0) into 0 14.839 * [backup-simplify]: Simplify (+ 0 0) into 0 14.840 * [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)))) 14.841 * [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))) 14.843 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 14.843 * [backup-simplify]: Simplify (- 0) into 0 14.844 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 14.844 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 14.844 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 14.844 * [taylor]: Taking taylor expansion of 22/3 in n 14.844 * [backup-simplify]: Simplify 22/3 into 22/3 14.844 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 14.844 * [taylor]: Taking taylor expansion of E in n 14.844 * [backup-simplify]: Simplify E into E 14.844 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.844 * [taylor]: Taking taylor expansion of n in n 14.844 * [backup-simplify]: Simplify 0 into 0 14.844 * [backup-simplify]: Simplify 1 into 1 14.845 * [backup-simplify]: Simplify (* 1 1) into 1 14.845 * [backup-simplify]: Simplify (* 1 1) into 1 14.845 * [backup-simplify]: Simplify (/ E 1) into E 14.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 14.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.852 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 14.852 * [backup-simplify]: Simplify 0 into 0 14.852 * [backup-simplify]: Simplify E into E 14.852 * [backup-simplify]: Simplify (+ 1 (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.853 * [approximate]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in (f n) around 0 14.853 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in n 14.853 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 14.853 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.853 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 14.853 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 14.853 * [taylor]: Taking taylor expansion of -1 in n 14.853 * [backup-simplify]: Simplify -1 into -1 14.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 14.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.853 * [taylor]: Taking taylor expansion of f in n 14.853 * [backup-simplify]: Simplify f into f 14.853 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.853 * [taylor]: Taking taylor expansion of n in n 14.853 * [backup-simplify]: Simplify 0 into 0 14.853 * [backup-simplify]: Simplify 1 into 1 14.853 * [backup-simplify]: Simplify (/ 1 1) into 1 14.853 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 14.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.853 * [taylor]: Taking taylor expansion of f in n 14.854 * [backup-simplify]: Simplify f into f 14.854 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.854 * [taylor]: Taking taylor expansion of n in n 14.854 * [backup-simplify]: Simplify 0 into 0 14.854 * [backup-simplify]: Simplify 1 into 1 14.854 * [backup-simplify]: Simplify (/ 1 1) into 1 14.855 * [backup-simplify]: Simplify (+ 0 1) into 1 14.855 * [backup-simplify]: Simplify (- 1) into -1 14.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.856 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.856 * [backup-simplify]: Simplify (* -1 -1) into 1 14.856 * [backup-simplify]: Simplify (exp 1) into E 14.856 * [taylor]: Taking taylor expansion of 1 in n 14.856 * [backup-simplify]: Simplify 1 into 1 14.856 * [taylor]: Taking taylor expansion of 1 in n 14.856 * [backup-simplify]: Simplify 1 into 1 14.857 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 14.857 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.857 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.857 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.857 * [taylor]: Taking taylor expansion of -1 in f 14.857 * [backup-simplify]: Simplify -1 into -1 14.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.857 * [taylor]: Taking taylor expansion of f in f 14.857 * [backup-simplify]: Simplify 0 into 0 14.857 * [backup-simplify]: Simplify 1 into 1 14.857 * [backup-simplify]: Simplify (/ 1 1) into 1 14.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.858 * [taylor]: Taking taylor expansion of n in f 14.858 * [backup-simplify]: Simplify n into n 14.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.858 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.858 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.858 * [taylor]: Taking taylor expansion of f in f 14.858 * [backup-simplify]: Simplify 0 into 0 14.858 * [backup-simplify]: Simplify 1 into 1 14.858 * [backup-simplify]: Simplify (/ 1 1) into 1 14.858 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.858 * [taylor]: Taking taylor expansion of n in f 14.858 * [backup-simplify]: Simplify n into n 14.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.859 * [backup-simplify]: Simplify (+ 1 0) into 1 14.859 * [backup-simplify]: Simplify (+ 1 0) into 1 14.860 * [backup-simplify]: Simplify (/ 1 1) into 1 14.860 * [backup-simplify]: Simplify (* -1 1) into -1 14.861 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.861 * [taylor]: Taking taylor expansion of 1 in f 14.861 * [backup-simplify]: Simplify 1 into 1 14.861 * [taylor]: Taking taylor expansion of 1 in f 14.861 * [backup-simplify]: Simplify 1 into 1 14.861 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 14.861 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.861 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 14.861 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 14.862 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 14.862 * [taylor]: Taking taylor expansion of -1 in f 14.862 * [backup-simplify]: Simplify -1 into -1 14.862 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 14.862 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.862 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.862 * [taylor]: Taking taylor expansion of f in f 14.862 * [backup-simplify]: Simplify 0 into 0 14.862 * [backup-simplify]: Simplify 1 into 1 14.862 * [backup-simplify]: Simplify (/ 1 1) into 1 14.862 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.862 * [taylor]: Taking taylor expansion of n in f 14.862 * [backup-simplify]: Simplify n into n 14.862 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.862 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 14.863 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.863 * [taylor]: Taking taylor expansion of f in f 14.863 * [backup-simplify]: Simplify 0 into 0 14.863 * [backup-simplify]: Simplify 1 into 1 14.863 * [backup-simplify]: Simplify (/ 1 1) into 1 14.863 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.863 * [taylor]: Taking taylor expansion of n in f 14.863 * [backup-simplify]: Simplify n into n 14.863 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.864 * [backup-simplify]: Simplify (+ 1 0) into 1 14.864 * [backup-simplify]: Simplify (+ 1 0) into 1 14.865 * [backup-simplify]: Simplify (/ 1 1) into 1 14.865 * [backup-simplify]: Simplify (* -1 1) into -1 14.866 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.866 * [taylor]: Taking taylor expansion of 1 in f 14.866 * [backup-simplify]: Simplify 1 into 1 14.866 * [taylor]: Taking taylor expansion of 1 in f 14.866 * [backup-simplify]: Simplify 1 into 1 14.866 * [backup-simplify]: Simplify (- 1) into -1 14.867 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 14.869 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 14.869 * [taylor]: Taking taylor expansion of (exp -1) in n 14.869 * [taylor]: Taking taylor expansion of -1 in n 14.869 * [backup-simplify]: Simplify -1 into -1 14.870 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.871 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.872 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.873 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 14.873 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 14.874 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 14.875 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 14.876 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 14.877 * [backup-simplify]: Simplify (- 0) into 0 14.878 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 14.879 * [backup-simplify]: Simplify (+ (- (* 2 (/ (exp -1) n))) 0) into (- (* 2 (/ (exp -1) n))) 14.879 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 14.879 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 14.879 * [taylor]: Taking taylor expansion of 2 in n 14.879 * [backup-simplify]: Simplify 2 into 2 14.879 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 14.879 * [taylor]: Taking taylor expansion of (exp -1) in n 14.879 * [taylor]: Taking taylor expansion of -1 in n 14.879 * [backup-simplify]: Simplify -1 into -1 14.880 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.880 * [taylor]: Taking taylor expansion of n in n 14.880 * [backup-simplify]: Simplify 0 into 0 14.880 * [backup-simplify]: Simplify 1 into 1 14.881 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.882 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.884 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 14.885 * [backup-simplify]: Simplify (- 0) into 0 14.885 * [backup-simplify]: Simplify 0 into 0 14.886 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.886 * [backup-simplify]: Simplify 0 into 0 14.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.888 * [backup-simplify]: Simplify (+ 0 0) into 0 14.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.890 * [backup-simplify]: Simplify (- 0) into 0 14.890 * [backup-simplify]: Simplify (+ 0 0) into 0 14.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 14.894 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 14.897 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 14.897 * [backup-simplify]: Simplify (- 0) into 0 14.898 * [backup-simplify]: Simplify (+ 0 0) into 0 14.899 * [backup-simplify]: Simplify (+ 0 0) into 0 14.899 * [taylor]: Taking taylor expansion of 0 in n 14.899 * [backup-simplify]: Simplify 0 into 0 14.899 * [backup-simplify]: Simplify 0 into 0 14.901 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 14.905 * [backup-simplify]: Simplify (- 0) into 0 14.905 * [backup-simplify]: Simplify 0 into 0 14.907 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.907 * [backup-simplify]: Simplify 0 into 0 14.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.909 * [backup-simplify]: Simplify (+ 0 0) into 0 14.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.911 * [backup-simplify]: Simplify (- 0) into 0 14.911 * [backup-simplify]: Simplify (+ 0 0) into 0 14.914 * [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))) 14.917 * [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)))) 14.922 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 14.922 * [backup-simplify]: Simplify (- 0) into 0 14.923 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 14.925 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 14.925 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 14.925 * [taylor]: Taking taylor expansion of 2/3 in n 14.925 * [backup-simplify]: Simplify 2/3 into 2/3 14.925 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 14.925 * [taylor]: Taking taylor expansion of (exp -1) in n 14.925 * [taylor]: Taking taylor expansion of -1 in n 14.925 * [backup-simplify]: Simplify -1 into -1 14.926 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.926 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.926 * [taylor]: Taking taylor expansion of n in n 14.926 * [backup-simplify]: Simplify 0 into 0 14.926 * [backup-simplify]: Simplify 1 into 1 14.926 * [backup-simplify]: Simplify (* 1 1) into 1 14.927 * [backup-simplify]: Simplify (* 1 1) into 1 14.928 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.930 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.933 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.936 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.938 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 14.938 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.939 * [backup-simplify]: Simplify (+ 1 (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.939 * [approximate]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in (f n) around 0 14.939 * [taylor]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in n 14.939 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 14.940 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.940 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 14.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 14.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 14.940 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.940 * [taylor]: Taking taylor expansion of f in n 14.940 * [backup-simplify]: Simplify f into f 14.940 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.940 * [taylor]: Taking taylor expansion of n in n 14.940 * [backup-simplify]: Simplify 0 into 0 14.940 * [backup-simplify]: Simplify 1 into 1 14.940 * [backup-simplify]: Simplify (/ 1 1) into 1 14.940 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 14.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.940 * [taylor]: Taking taylor expansion of n in n 14.940 * [backup-simplify]: Simplify 0 into 0 14.940 * [backup-simplify]: Simplify 1 into 1 14.940 * [backup-simplify]: Simplify (/ 1 1) into 1 14.940 * [taylor]: Taking taylor expansion of (/ 1 f) in n 14.940 * [taylor]: Taking taylor expansion of f in n 14.941 * [backup-simplify]: Simplify f into f 14.941 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 14.941 * [backup-simplify]: Simplify (+ 0 1) into 1 14.941 * [backup-simplify]: Simplify (+ 1 0) into 1 14.941 * [backup-simplify]: Simplify (/ 1 1) into 1 14.941 * [backup-simplify]: Simplify (exp 1) into E 14.941 * [taylor]: Taking taylor expansion of 1 in n 14.942 * [backup-simplify]: Simplify 1 into 1 14.942 * [taylor]: Taking taylor expansion of 1 in n 14.942 * [backup-simplify]: Simplify 1 into 1 14.942 * [taylor]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 14.942 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.942 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.942 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.942 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.942 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.942 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.942 * [taylor]: Taking taylor expansion of f in f 14.942 * [backup-simplify]: Simplify 0 into 0 14.942 * [backup-simplify]: Simplify 1 into 1 14.942 * [backup-simplify]: Simplify (/ 1 1) into 1 14.942 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.942 * [taylor]: Taking taylor expansion of n in f 14.942 * [backup-simplify]: Simplify n into n 14.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.942 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.942 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.942 * [taylor]: Taking taylor expansion of n in f 14.942 * [backup-simplify]: Simplify n into n 14.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.942 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.942 * [taylor]: Taking taylor expansion of f in f 14.942 * [backup-simplify]: Simplify 0 into 0 14.942 * [backup-simplify]: Simplify 1 into 1 14.943 * [backup-simplify]: Simplify (/ 1 1) into 1 14.943 * [backup-simplify]: Simplify (+ 1 0) into 1 14.943 * [backup-simplify]: Simplify (- 1) into -1 14.944 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.944 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.944 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.944 * [taylor]: Taking taylor expansion of 1 in f 14.944 * [backup-simplify]: Simplify 1 into 1 14.944 * [taylor]: Taking taylor expansion of 1 in f 14.944 * [backup-simplify]: Simplify 1 into 1 14.944 * [taylor]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 14.944 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.944 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 14.944 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 14.944 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 14.944 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 14.944 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.944 * [taylor]: Taking taylor expansion of f in f 14.945 * [backup-simplify]: Simplify 0 into 0 14.945 * [backup-simplify]: Simplify 1 into 1 14.945 * [backup-simplify]: Simplify (/ 1 1) into 1 14.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.945 * [taylor]: Taking taylor expansion of n in f 14.945 * [backup-simplify]: Simplify n into n 14.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.945 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 14.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 14.945 * [taylor]: Taking taylor expansion of n in f 14.945 * [backup-simplify]: Simplify n into n 14.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 14.945 * [taylor]: Taking taylor expansion of (/ 1 f) in f 14.945 * [taylor]: Taking taylor expansion of f in f 14.945 * [backup-simplify]: Simplify 0 into 0 14.945 * [backup-simplify]: Simplify 1 into 1 14.945 * [backup-simplify]: Simplify (/ 1 1) into 1 14.946 * [backup-simplify]: Simplify (+ 1 0) into 1 14.946 * [backup-simplify]: Simplify (- 1) into -1 14.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.947 * [backup-simplify]: Simplify (/ 1 -1) into -1 14.947 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.947 * [taylor]: Taking taylor expansion of 1 in f 14.947 * [backup-simplify]: Simplify 1 into 1 14.947 * [taylor]: Taking taylor expansion of 1 in f 14.947 * [backup-simplify]: Simplify 1 into 1 14.947 * [backup-simplify]: Simplify (- 1) into -1 14.948 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 14.949 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 14.949 * [taylor]: Taking taylor expansion of (exp -1) in n 14.949 * [taylor]: Taking taylor expansion of -1 in n 14.949 * [backup-simplify]: Simplify -1 into -1 14.950 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.950 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.951 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 14.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.952 * [backup-simplify]: Simplify (- 0) into 0 14.952 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 14.952 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 14.953 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 14.953 * [backup-simplify]: Simplify (- 0) into 0 14.954 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 14.954 * [backup-simplify]: Simplify (+ (- (* 2 (/ (exp -1) n))) 0) into (- (* 2 (/ (exp -1) n))) 14.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 14.954 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 14.954 * [taylor]: Taking taylor expansion of 2 in n 14.954 * [backup-simplify]: Simplify 2 into 2 14.954 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 14.954 * [taylor]: Taking taylor expansion of (exp -1) in n 14.954 * [taylor]: Taking taylor expansion of -1 in n 14.954 * [backup-simplify]: Simplify -1 into -1 14.955 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.955 * [taylor]: Taking taylor expansion of n in n 14.955 * [backup-simplify]: Simplify 0 into 0 14.955 * [backup-simplify]: Simplify 1 into 1 14.955 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.960 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.962 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 14.962 * [backup-simplify]: Simplify (- 0) into 0 14.962 * [backup-simplify]: Simplify 0 into 0 14.963 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.963 * [backup-simplify]: Simplify 0 into 0 14.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.964 * [backup-simplify]: Simplify (+ 0 0) into 0 14.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 14.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.965 * [backup-simplify]: Simplify (- 0) into 0 14.965 * [backup-simplify]: Simplify (+ 0 0) into 0 14.966 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 14.968 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 14.968 * [backup-simplify]: Simplify (- 0) into 0 14.968 * [backup-simplify]: Simplify (+ 0 0) into 0 14.968 * [backup-simplify]: Simplify (+ 0 0) into 0 14.968 * [taylor]: Taking taylor expansion of 0 in n 14.968 * [backup-simplify]: Simplify 0 into 0 14.968 * [backup-simplify]: Simplify 0 into 0 14.970 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 14.971 * [backup-simplify]: Simplify (- 0) into 0 14.971 * [backup-simplify]: Simplify 0 into 0 14.972 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.972 * [backup-simplify]: Simplify 0 into 0 14.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.974 * [backup-simplify]: Simplify (+ 0 0) into 0 14.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 14.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.975 * [backup-simplify]: Simplify (- 0) into 0 14.975 * [backup-simplify]: Simplify (+ 0 0) into 0 14.977 * [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)))) 14.980 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 14.980 * [backup-simplify]: Simplify (- 0) into 0 14.981 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 14.981 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 14.981 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 14.981 * [taylor]: Taking taylor expansion of 2/3 in n 14.982 * [backup-simplify]: Simplify 2/3 into 2/3 14.982 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 14.982 * [taylor]: Taking taylor expansion of (exp -1) in n 14.982 * [taylor]: Taking taylor expansion of -1 in n 14.982 * [backup-simplify]: Simplify -1 into -1 14.982 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.982 * [taylor]: Taking taylor expansion of (pow n 3) in n 14.982 * [taylor]: Taking taylor expansion of n in n 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 1 into 1 14.982 * [backup-simplify]: Simplify (* 1 1) into 1 14.983 * [backup-simplify]: Simplify (* 1 1) into 1 14.983 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 14.985 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.988 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 14.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 14.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.990 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.993 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 14.993 * [backup-simplify]: Simplify 0 into 0 14.993 * [backup-simplify]: Simplify (exp -1) into (exp -1) 14.993 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 14.994 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 14.994 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 14.994 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 14.994 * [taylor]: Taking taylor expansion of -1 in n 14.994 * [backup-simplify]: Simplify -1 into -1 14.994 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 14.994 * [taylor]: Taking taylor expansion of (+ n f) in n 14.994 * [taylor]: Taking taylor expansion of n in n 14.994 * [backup-simplify]: Simplify 0 into 0 14.994 * [backup-simplify]: Simplify 1 into 1 14.994 * [taylor]: Taking taylor expansion of f in n 14.994 * [backup-simplify]: Simplify f into f 14.994 * [taylor]: Taking taylor expansion of (- f n) in n 14.994 * [taylor]: Taking taylor expansion of f in n 14.994 * [backup-simplify]: Simplify f into f 14.994 * [taylor]: Taking taylor expansion of n in n 14.994 * [backup-simplify]: Simplify 0 into 0 14.994 * [backup-simplify]: Simplify 1 into 1 14.994 * [backup-simplify]: Simplify (+ 0 f) into f 14.994 * [backup-simplify]: Simplify (- 0) into 0 14.994 * [backup-simplify]: Simplify (+ f 0) into f 14.994 * [backup-simplify]: Simplify (/ f f) into 1 14.994 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.994 * [taylor]: Taking taylor expansion of -1 in f 14.994 * [backup-simplify]: Simplify -1 into -1 14.994 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.994 * [taylor]: Taking taylor expansion of (+ n f) in f 14.994 * [taylor]: Taking taylor expansion of n in f 14.995 * [backup-simplify]: Simplify n into n 14.995 * [taylor]: Taking taylor expansion of f in f 14.995 * [backup-simplify]: Simplify 0 into 0 14.995 * [backup-simplify]: Simplify 1 into 1 14.995 * [taylor]: Taking taylor expansion of (- f n) in f 14.995 * [taylor]: Taking taylor expansion of f in f 14.995 * [backup-simplify]: Simplify 0 into 0 14.995 * [backup-simplify]: Simplify 1 into 1 14.995 * [taylor]: Taking taylor expansion of n in f 14.995 * [backup-simplify]: Simplify n into n 14.995 * [backup-simplify]: Simplify (+ n 0) into n 14.995 * [backup-simplify]: Simplify (- n) into (- n) 14.995 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.995 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.995 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 14.995 * [taylor]: Taking taylor expansion of -1 in f 14.995 * [backup-simplify]: Simplify -1 into -1 14.995 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 14.995 * [taylor]: Taking taylor expansion of (+ n f) in f 14.995 * [taylor]: Taking taylor expansion of n in f 14.995 * [backup-simplify]: Simplify n into n 14.995 * [taylor]: Taking taylor expansion of f in f 14.995 * [backup-simplify]: Simplify 0 into 0 14.995 * [backup-simplify]: Simplify 1 into 1 14.995 * [taylor]: Taking taylor expansion of (- f n) in f 14.995 * [taylor]: Taking taylor expansion of f in f 14.995 * [backup-simplify]: Simplify 0 into 0 14.995 * [backup-simplify]: Simplify 1 into 1 14.995 * [taylor]: Taking taylor expansion of n in f 14.995 * [backup-simplify]: Simplify n into n 14.995 * [backup-simplify]: Simplify (+ n 0) into n 14.995 * [backup-simplify]: Simplify (- n) into (- n) 14.995 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 14.995 * [backup-simplify]: Simplify (/ n (- n)) into -1 14.996 * [backup-simplify]: Simplify (* -1 -1) into 1 14.996 * [taylor]: Taking taylor expansion of 1 in n 14.996 * [backup-simplify]: Simplify 1 into 1 14.996 * [backup-simplify]: Simplify 1 into 1 14.996 * [backup-simplify]: Simplify (+ 0 1) into 1 14.996 * [backup-simplify]: Simplify (- 0) into 0 14.997 * [backup-simplify]: Simplify (+ 1 0) into 1 14.997 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 14.997 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 14.998 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 14.998 * [taylor]: Taking taylor expansion of 2 in n 14.998 * [backup-simplify]: Simplify 2 into 2 14.998 * [taylor]: Taking taylor expansion of (/ 1 n) in n 14.998 * [taylor]: Taking taylor expansion of n in n 14.998 * [backup-simplify]: Simplify 0 into 0 14.998 * [backup-simplify]: Simplify 1 into 1 14.998 * [backup-simplify]: Simplify (/ 1 1) into 1 14.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.999 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify (+ 0 0) into 0 15.000 * [backup-simplify]: Simplify (- 0) into 0 15.000 * [backup-simplify]: Simplify (+ 0 0) into 0 15.001 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 15.002 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 15.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 15.002 * [taylor]: Taking taylor expansion of 2 in n 15.002 * [backup-simplify]: Simplify 2 into 2 15.002 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.002 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.002 * [taylor]: Taking taylor expansion of n in n 15.002 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify 1 into 1 15.002 * [backup-simplify]: Simplify (* 1 1) into 1 15.002 * [backup-simplify]: Simplify (/ 1 1) into 1 15.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.005 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.005 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 0 into 0 15.007 * [backup-simplify]: Simplify (+ 0 0) into 0 15.007 * [backup-simplify]: Simplify (- 0) into 0 15.007 * [backup-simplify]: Simplify (+ 0 0) into 0 15.008 * [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)))) 15.010 * [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))) 15.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 15.010 * [taylor]: Taking taylor expansion of 2 in n 15.010 * [backup-simplify]: Simplify 2 into 2 15.010 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 15.010 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.010 * [taylor]: Taking taylor expansion of n in n 15.010 * [backup-simplify]: Simplify 0 into 0 15.010 * [backup-simplify]: Simplify 1 into 1 15.011 * [backup-simplify]: Simplify (* 1 1) into 1 15.011 * [backup-simplify]: Simplify (* 1 1) into 1 15.012 * [backup-simplify]: Simplify (/ 1 1) into 1 15.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.022 * [backup-simplify]: Simplify 0 into 0 15.022 * [backup-simplify]: Simplify 1 into 1 15.023 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 15.023 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 15.023 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 15.023 * [taylor]: Taking taylor expansion of -1 in n 15.023 * [backup-simplify]: Simplify -1 into -1 15.023 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 15.023 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 15.023 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.023 * [taylor]: Taking taylor expansion of f in n 15.023 * [backup-simplify]: Simplify f into f 15.023 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.023 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.023 * [taylor]: Taking taylor expansion of n in n 15.023 * [backup-simplify]: Simplify 0 into 0 15.023 * [backup-simplify]: Simplify 1 into 1 15.024 * [backup-simplify]: Simplify (/ 1 1) into 1 15.024 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 15.024 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.024 * [taylor]: Taking taylor expansion of f in n 15.024 * [backup-simplify]: Simplify f into f 15.024 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.024 * [taylor]: Taking taylor expansion of n in n 15.024 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify 1 into 1 15.024 * [backup-simplify]: Simplify (/ 1 1) into 1 15.025 * [backup-simplify]: Simplify (+ 0 1) into 1 15.025 * [backup-simplify]: Simplify (- 1) into -1 15.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.026 * [backup-simplify]: Simplify (/ 1 -1) into -1 15.026 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 15.026 * [taylor]: Taking taylor expansion of -1 in f 15.026 * [backup-simplify]: Simplify -1 into -1 15.026 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 15.027 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.027 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.027 * [taylor]: Taking taylor expansion of f in f 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [backup-simplify]: Simplify 1 into 1 15.027 * [backup-simplify]: Simplify (/ 1 1) into 1 15.027 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.027 * [taylor]: Taking taylor expansion of n in f 15.027 * [backup-simplify]: Simplify n into n 15.027 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.027 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 15.027 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.027 * [taylor]: Taking taylor expansion of f in f 15.027 * [backup-simplify]: Simplify 0 into 0 15.027 * [backup-simplify]: Simplify 1 into 1 15.028 * [backup-simplify]: Simplify (/ 1 1) into 1 15.028 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.028 * [taylor]: Taking taylor expansion of n in f 15.028 * [backup-simplify]: Simplify n into n 15.028 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.029 * [backup-simplify]: Simplify (+ 1 0) into 1 15.029 * [backup-simplify]: Simplify (+ 1 0) into 1 15.029 * [backup-simplify]: Simplify (/ 1 1) into 1 15.029 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 15.030 * [taylor]: Taking taylor expansion of -1 in f 15.030 * [backup-simplify]: Simplify -1 into -1 15.030 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 15.030 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.030 * [taylor]: Taking taylor expansion of f in f 15.030 * [backup-simplify]: Simplify 0 into 0 15.030 * [backup-simplify]: Simplify 1 into 1 15.030 * [backup-simplify]: Simplify (/ 1 1) into 1 15.030 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.030 * [taylor]: Taking taylor expansion of n in f 15.030 * [backup-simplify]: Simplify n into n 15.030 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.030 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 15.030 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.030 * [taylor]: Taking taylor expansion of f in f 15.031 * [backup-simplify]: Simplify 0 into 0 15.031 * [backup-simplify]: Simplify 1 into 1 15.031 * [backup-simplify]: Simplify (/ 1 1) into 1 15.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.031 * [taylor]: Taking taylor expansion of n in f 15.031 * [backup-simplify]: Simplify n into n 15.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.032 * [backup-simplify]: Simplify (+ 1 0) into 1 15.032 * [backup-simplify]: Simplify (+ 1 0) into 1 15.033 * [backup-simplify]: Simplify (/ 1 1) into 1 15.033 * [backup-simplify]: Simplify (* -1 1) into -1 15.033 * [taylor]: Taking taylor expansion of -1 in n 15.033 * [backup-simplify]: Simplify -1 into -1 15.033 * [backup-simplify]: Simplify -1 into -1 15.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.034 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 15.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.035 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 15.036 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 15.036 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 15.037 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 15.037 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 15.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 15.037 * [taylor]: Taking taylor expansion of 2 in n 15.037 * [backup-simplify]: Simplify 2 into 2 15.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.037 * [taylor]: Taking taylor expansion of n in n 15.037 * [backup-simplify]: Simplify 0 into 0 15.037 * [backup-simplify]: Simplify 1 into 1 15.038 * [backup-simplify]: Simplify (/ 1 1) into 1 15.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.039 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 15.040 * [backup-simplify]: Simplify (- 0) into 0 15.040 * [backup-simplify]: Simplify 0 into 0 15.040 * [backup-simplify]: Simplify 0 into 0 15.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.042 * [backup-simplify]: Simplify (+ 0 0) into 0 15.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.043 * [backup-simplify]: Simplify (- 0) into 0 15.044 * [backup-simplify]: Simplify (+ 0 0) into 0 15.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 15.047 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 15.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 15.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 15.047 * [taylor]: Taking taylor expansion of 2 in n 15.047 * [backup-simplify]: Simplify 2 into 2 15.047 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.047 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.047 * [taylor]: Taking taylor expansion of n in n 15.047 * [backup-simplify]: Simplify 0 into 0 15.047 * [backup-simplify]: Simplify 1 into 1 15.048 * [backup-simplify]: Simplify (* 1 1) into 1 15.048 * [backup-simplify]: Simplify (/ 1 1) into 1 15.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.054 * [backup-simplify]: Simplify (- 0) into 0 15.054 * [backup-simplify]: Simplify 0 into 0 15.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.056 * [backup-simplify]: Simplify (- 0) into 0 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.058 * [backup-simplify]: Simplify (+ 0 0) into 0 15.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.059 * [backup-simplify]: Simplify (- 0) into 0 15.059 * [backup-simplify]: Simplify (+ 0 0) into 0 15.061 * [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))) 15.062 * [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)))) 15.062 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 15.062 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 15.062 * [taylor]: Taking taylor expansion of 2 in n 15.063 * [backup-simplify]: Simplify 2 into 2 15.063 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 15.063 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.063 * [taylor]: Taking taylor expansion of n in n 15.063 * [backup-simplify]: Simplify 0 into 0 15.063 * [backup-simplify]: Simplify 1 into 1 15.063 * [backup-simplify]: Simplify (* 1 1) into 1 15.063 * [backup-simplify]: Simplify (* 1 1) into 1 15.063 * [backup-simplify]: Simplify (/ 1 1) into 1 15.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.069 * [backup-simplify]: Simplify (- 0) into 0 15.069 * [backup-simplify]: Simplify 0 into 0 15.070 * [backup-simplify]: Simplify -1 into -1 15.070 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 15.070 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 15.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 15.070 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 15.070 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.070 * [taylor]: Taking taylor expansion of f in n 15.070 * [backup-simplify]: Simplify f into f 15.070 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.070 * [taylor]: Taking taylor expansion of n in n 15.070 * [backup-simplify]: Simplify 0 into 0 15.070 * [backup-simplify]: Simplify 1 into 1 15.071 * [backup-simplify]: Simplify (/ 1 1) into 1 15.071 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 15.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.071 * [taylor]: Taking taylor expansion of n in n 15.071 * [backup-simplify]: Simplify 0 into 0 15.071 * [backup-simplify]: Simplify 1 into 1 15.071 * [backup-simplify]: Simplify (/ 1 1) into 1 15.071 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.071 * [taylor]: Taking taylor expansion of f in n 15.071 * [backup-simplify]: Simplify f into f 15.071 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.071 * [backup-simplify]: Simplify (+ 0 1) into 1 15.072 * [backup-simplify]: Simplify (+ 1 0) into 1 15.072 * [backup-simplify]: Simplify (/ 1 1) into 1 15.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 15.072 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.072 * [taylor]: Taking taylor expansion of f in f 15.072 * [backup-simplify]: Simplify 0 into 0 15.072 * [backup-simplify]: Simplify 1 into 1 15.072 * [backup-simplify]: Simplify (/ 1 1) into 1 15.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.072 * [taylor]: Taking taylor expansion of n in f 15.072 * [backup-simplify]: Simplify n into n 15.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.072 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 15.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.072 * [taylor]: Taking taylor expansion of n in f 15.073 * [backup-simplify]: Simplify n into n 15.073 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.073 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.073 * [taylor]: Taking taylor expansion of f in f 15.073 * [backup-simplify]: Simplify 0 into 0 15.073 * [backup-simplify]: Simplify 1 into 1 15.073 * [backup-simplify]: Simplify (/ 1 1) into 1 15.073 * [backup-simplify]: Simplify (+ 1 0) into 1 15.073 * [backup-simplify]: Simplify (- 1) into -1 15.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.074 * [backup-simplify]: Simplify (/ 1 -1) into -1 15.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 15.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.074 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.074 * [taylor]: Taking taylor expansion of f in f 15.074 * [backup-simplify]: Simplify 0 into 0 15.074 * [backup-simplify]: Simplify 1 into 1 15.074 * [backup-simplify]: Simplify (/ 1 1) into 1 15.074 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.074 * [taylor]: Taking taylor expansion of n in f 15.074 * [backup-simplify]: Simplify n into n 15.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.075 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 15.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.075 * [taylor]: Taking taylor expansion of n in f 15.075 * [backup-simplify]: Simplify n into n 15.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.075 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.075 * [taylor]: Taking taylor expansion of f in f 15.075 * [backup-simplify]: Simplify 0 into 0 15.075 * [backup-simplify]: Simplify 1 into 1 15.078 * [backup-simplify]: Simplify (/ 1 1) into 1 15.078 * [backup-simplify]: Simplify (+ 1 0) into 1 15.079 * [backup-simplify]: Simplify (- 1) into -1 15.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.079 * [backup-simplify]: Simplify (/ 1 -1) into -1 15.079 * [taylor]: Taking taylor expansion of -1 in n 15.079 * [backup-simplify]: Simplify -1 into -1 15.079 * [backup-simplify]: Simplify -1 into -1 15.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.080 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 15.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.081 * [backup-simplify]: Simplify (- 0) into 0 15.081 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 15.081 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 15.081 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 15.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 15.081 * [taylor]: Taking taylor expansion of 2 in n 15.081 * [backup-simplify]: Simplify 2 into 2 15.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.081 * [taylor]: Taking taylor expansion of n in n 15.081 * [backup-simplify]: Simplify 0 into 0 15.081 * [backup-simplify]: Simplify 1 into 1 15.082 * [backup-simplify]: Simplify (/ 1 1) into 1 15.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 15.083 * [backup-simplify]: Simplify (- 0) into 0 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.084 * [backup-simplify]: Simplify (+ 0 0) into 0 15.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.085 * [backup-simplify]: Simplify (- 0) into 0 15.086 * [backup-simplify]: Simplify (+ 0 0) into 0 15.087 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 15.087 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 15.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 15.087 * [taylor]: Taking taylor expansion of 2 in n 15.087 * [backup-simplify]: Simplify 2 into 2 15.087 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 15.087 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.087 * [taylor]: Taking taylor expansion of n in n 15.087 * [backup-simplify]: Simplify 0 into 0 15.087 * [backup-simplify]: Simplify 1 into 1 15.087 * [backup-simplify]: Simplify (* 1 1) into 1 15.087 * [backup-simplify]: Simplify (/ 1 1) into 1 15.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.091 * [backup-simplify]: Simplify (- 0) into 0 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 15.092 * [backup-simplify]: Simplify (- 0) into 0 15.092 * [backup-simplify]: Simplify 0 into 0 15.092 * [backup-simplify]: Simplify 0 into 0 15.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.094 * [backup-simplify]: Simplify (+ 0 0) into 0 15.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.095 * [backup-simplify]: Simplify (- 0) into 0 15.095 * [backup-simplify]: Simplify (+ 0 0) into 0 15.097 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 15.097 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 15.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 15.097 * [taylor]: Taking taylor expansion of 2 in n 15.097 * [backup-simplify]: Simplify 2 into 2 15.097 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 15.097 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.097 * [taylor]: Taking taylor expansion of n in n 15.097 * [backup-simplify]: Simplify 0 into 0 15.097 * [backup-simplify]: Simplify 1 into 1 15.097 * [backup-simplify]: Simplify (* 1 1) into 1 15.098 * [backup-simplify]: Simplify (* 1 1) into 1 15.098 * [backup-simplify]: Simplify (/ 1 1) into 1 15.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.106 * [backup-simplify]: Simplify (- 0) into 0 15.107 * [backup-simplify]: Simplify 0 into 0 15.107 * [backup-simplify]: Simplify -1 into -1 15.107 * * * * [progress]: [ 4 / 4 ] generating series at (2) 15.108 * [backup-simplify]: Simplify (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) into (log (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1)) 15.108 * [approximate]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1)) in (f n) around 0 15.108 * [taylor]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1)) in n 15.108 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in n 15.108 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 15.108 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 15.108 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 15.108 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 15.108 * [taylor]: Taking taylor expansion of -1 in n 15.108 * [backup-simplify]: Simplify -1 into -1 15.108 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 15.108 * [taylor]: Taking taylor expansion of (+ n f) in n 15.108 * [taylor]: Taking taylor expansion of n in n 15.108 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 1 into 1 15.109 * [taylor]: Taking taylor expansion of f in n 15.109 * [backup-simplify]: Simplify f into f 15.109 * [taylor]: Taking taylor expansion of (- f n) in n 15.109 * [taylor]: Taking taylor expansion of f in n 15.109 * [backup-simplify]: Simplify f into f 15.109 * [taylor]: Taking taylor expansion of n in n 15.109 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 1 into 1 15.109 * [backup-simplify]: Simplify (+ 0 f) into f 15.109 * [backup-simplify]: Simplify (- 0) into 0 15.109 * [backup-simplify]: Simplify (+ f 0) into f 15.110 * [backup-simplify]: Simplify (/ f f) into 1 15.110 * [backup-simplify]: Simplify (* -1 1) into -1 15.111 * [backup-simplify]: Simplify (exp -1) into (exp -1) 15.111 * [taylor]: Taking taylor expansion of 1 in n 15.111 * [backup-simplify]: Simplify 1 into 1 15.111 * [taylor]: Taking taylor expansion of 1 in n 15.111 * [backup-simplify]: Simplify 1 into 1 15.111 * [backup-simplify]: Simplify (- 1) into -1 15.112 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 15.114 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 15.116 * [backup-simplify]: Simplify (log (exp -1)) into -1 15.116 * [taylor]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1)) in f 15.116 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in f 15.116 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 15.116 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 15.116 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 15.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 15.116 * [taylor]: Taking taylor expansion of -1 in f 15.116 * [backup-simplify]: Simplify -1 into -1 15.116 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 15.116 * [taylor]: Taking taylor expansion of (+ n f) in f 15.116 * [taylor]: Taking taylor expansion of n in f 15.116 * [backup-simplify]: Simplify n into n 15.116 * [taylor]: Taking taylor expansion of f in f 15.116 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [taylor]: Taking taylor expansion of (- f n) in f 15.116 * [taylor]: Taking taylor expansion of f in f 15.116 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [taylor]: Taking taylor expansion of n in f 15.116 * [backup-simplify]: Simplify n into n 15.117 * [backup-simplify]: Simplify (+ n 0) into n 15.117 * [backup-simplify]: Simplify (- n) into (- n) 15.117 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 15.117 * [backup-simplify]: Simplify (/ n (- n)) into -1 15.117 * [backup-simplify]: Simplify (* -1 -1) into 1 15.117 * [backup-simplify]: Simplify (exp 1) into E 15.118 * [taylor]: Taking taylor expansion of 1 in f 15.118 * [backup-simplify]: Simplify 1 into 1 15.118 * [taylor]: Taking taylor expansion of 1 in f 15.118 * [backup-simplify]: Simplify 1 into 1 15.118 * [backup-simplify]: Simplify (- 1) into -1 15.119 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 15.120 * [backup-simplify]: Simplify (+ (- E 1) 1) into E 15.120 * [backup-simplify]: Simplify (log E) into 1 15.120 * [taylor]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1)) in f 15.120 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ n f) (- f n)))) 1) in f 15.120 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 15.120 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 15.120 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 15.120 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 15.120 * [taylor]: Taking taylor expansion of -1 in f 15.120 * [backup-simplify]: Simplify -1 into -1 15.120 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 15.120 * [taylor]: Taking taylor expansion of (+ n f) in f 15.120 * [taylor]: Taking taylor expansion of n in f 15.121 * [backup-simplify]: Simplify n into n 15.121 * [taylor]: Taking taylor expansion of f in f 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [taylor]: Taking taylor expansion of (- f n) in f 15.121 * [taylor]: Taking taylor expansion of f in f 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [taylor]: Taking taylor expansion of n in f 15.121 * [backup-simplify]: Simplify n into n 15.121 * [backup-simplify]: Simplify (+ n 0) into n 15.121 * [backup-simplify]: Simplify (- n) into (- n) 15.121 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 15.121 * [backup-simplify]: Simplify (/ n (- n)) into -1 15.122 * [backup-simplify]: Simplify (* -1 -1) into 1 15.122 * [backup-simplify]: Simplify (exp 1) into E 15.122 * [taylor]: Taking taylor expansion of 1 in f 15.122 * [backup-simplify]: Simplify 1 into 1 15.122 * [taylor]: Taking taylor expansion of 1 in f 15.122 * [backup-simplify]: Simplify 1 into 1 15.122 * [backup-simplify]: Simplify (- 1) into -1 15.123 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 15.124 * [backup-simplify]: Simplify (+ (- E 1) 1) into E 15.124 * [backup-simplify]: Simplify (log E) into 1 15.124 * [taylor]: Taking taylor expansion of 1 in n 15.124 * [backup-simplify]: Simplify 1 into 1 15.124 * [backup-simplify]: Simplify 1 into 1 15.125 * [backup-simplify]: Simplify (+ 0 1) into 1 15.125 * [backup-simplify]: Simplify (- 0) into 0 15.126 * [backup-simplify]: Simplify (+ 1 0) into 1 15.126 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 15.127 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 15.128 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 15.128 * [backup-simplify]: Simplify (- 0) into 0 15.129 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 15.129 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 15.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 15.130 * [taylor]: Taking taylor expansion of (/ 2 n) in n 15.130 * [taylor]: Taking taylor expansion of 2 in n 15.130 * [backup-simplify]: Simplify 2 into 2 15.130 * [taylor]: Taking taylor expansion of n in n 15.130 * [backup-simplify]: Simplify 0 into 0 15.130 * [backup-simplify]: Simplify 1 into 1 15.130 * [backup-simplify]: Simplify (/ 2 1) into 2 15.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify 0 into 0 15.131 * [backup-simplify]: Simplify (+ 0 0) into 0 15.132 * [backup-simplify]: Simplify (- 0) into 0 15.132 * [backup-simplify]: Simplify (+ 0 0) into 0 15.132 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 15.133 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 15.135 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 15.135 * [backup-simplify]: Simplify (- 0) into 0 15.135 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 15.136 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 15.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 15.138 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 15.138 * [taylor]: Taking taylor expansion of 2 in n 15.138 * [backup-simplify]: Simplify 2 into 2 15.138 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.138 * [taylor]: Taking taylor expansion of n in n 15.138 * [backup-simplify]: Simplify 0 into 0 15.138 * [backup-simplify]: Simplify 1 into 1 15.138 * [backup-simplify]: Simplify (* 1 1) into 1 15.139 * [backup-simplify]: Simplify (/ 2 1) into 2 15.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 15.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.141 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify (+ 0 0) into 0 15.143 * [backup-simplify]: Simplify (- 0) into 0 15.143 * [backup-simplify]: Simplify (+ 0 0) into 0 15.144 * [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)))) 15.146 * [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))) 15.148 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 15.148 * [backup-simplify]: Simplify (- 0) into 0 15.148 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 15.149 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 15.153 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 15.153 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 15.153 * [taylor]: Taking taylor expansion of 2 in n 15.153 * [backup-simplify]: Simplify 2 into 2 15.153 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.153 * [taylor]: Taking taylor expansion of n in n 15.153 * [backup-simplify]: Simplify 0 into 0 15.153 * [backup-simplify]: Simplify 1 into 1 15.153 * [backup-simplify]: Simplify (* 1 1) into 1 15.153 * [backup-simplify]: Simplify (* 1 1) into 1 15.154 * [backup-simplify]: Simplify (/ 2 1) into 2 15.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 15.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.161 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify 1 into 1 15.162 * [backup-simplify]: Simplify (log (+ 1 (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))))) into (log (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) 15.162 * [approximate]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in (f n) around 0 15.162 * [taylor]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in n 15.162 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in n 15.162 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 15.163 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 15.163 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 15.163 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 15.163 * [taylor]: Taking taylor expansion of -1 in n 15.163 * [backup-simplify]: Simplify -1 into -1 15.163 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 15.163 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 15.163 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.163 * [taylor]: Taking taylor expansion of f in n 15.163 * [backup-simplify]: Simplify f into f 15.163 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.163 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.163 * [taylor]: Taking taylor expansion of n in n 15.163 * [backup-simplify]: Simplify 0 into 0 15.163 * [backup-simplify]: Simplify 1 into 1 15.164 * [backup-simplify]: Simplify (/ 1 1) into 1 15.164 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 15.164 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.164 * [taylor]: Taking taylor expansion of f in n 15.164 * [backup-simplify]: Simplify f into f 15.164 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.164 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.164 * [taylor]: Taking taylor expansion of n in n 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify 1 into 1 15.164 * [backup-simplify]: Simplify (/ 1 1) into 1 15.165 * [backup-simplify]: Simplify (+ 0 1) into 1 15.165 * [backup-simplify]: Simplify (- 1) into -1 15.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.166 * [backup-simplify]: Simplify (/ 1 -1) into -1 15.167 * [backup-simplify]: Simplify (* -1 -1) into 1 15.167 * [backup-simplify]: Simplify (exp 1) into E 15.167 * [taylor]: Taking taylor expansion of 1 in n 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [taylor]: Taking taylor expansion of 1 in n 15.167 * [backup-simplify]: Simplify 1 into 1 15.167 * [backup-simplify]: Simplify (- 1) into -1 15.168 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 15.169 * [backup-simplify]: Simplify (+ (- E 1) 1) into E 15.169 * [backup-simplify]: Simplify (log E) into 1 15.169 * [taylor]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in f 15.169 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 15.169 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 15.169 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 15.169 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 15.169 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 15.169 * [taylor]: Taking taylor expansion of -1 in f 15.170 * [backup-simplify]: Simplify -1 into -1 15.170 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 15.170 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.170 * [taylor]: Taking taylor expansion of f in f 15.170 * [backup-simplify]: Simplify 0 into 0 15.170 * [backup-simplify]: Simplify 1 into 1 15.170 * [backup-simplify]: Simplify (/ 1 1) into 1 15.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.170 * [taylor]: Taking taylor expansion of n in f 15.170 * [backup-simplify]: Simplify n into n 15.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.170 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 15.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.170 * [taylor]: Taking taylor expansion of f in f 15.170 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 1 into 1 15.171 * [backup-simplify]: Simplify (/ 1 1) into 1 15.171 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.171 * [taylor]: Taking taylor expansion of n in f 15.171 * [backup-simplify]: Simplify n into n 15.171 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.172 * [backup-simplify]: Simplify (+ 1 0) into 1 15.172 * [backup-simplify]: Simplify (+ 1 0) into 1 15.172 * [backup-simplify]: Simplify (/ 1 1) into 1 15.173 * [backup-simplify]: Simplify (* -1 1) into -1 15.174 * [backup-simplify]: Simplify (exp -1) into (exp -1) 15.174 * [taylor]: Taking taylor expansion of 1 in f 15.174 * [backup-simplify]: Simplify 1 into 1 15.174 * [taylor]: Taking taylor expansion of 1 in f 15.174 * [backup-simplify]: Simplify 1 into 1 15.174 * [backup-simplify]: Simplify (- 1) into -1 15.175 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 15.177 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 15.178 * [backup-simplify]: Simplify (log (exp -1)) into -1 15.178 * [taylor]: Taking taylor expansion of (log (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in f 15.179 * [taylor]: Taking taylor expansion of (+ (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 15.179 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 15.179 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 15.179 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 15.179 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 15.179 * [taylor]: Taking taylor expansion of -1 in f 15.179 * [backup-simplify]: Simplify -1 into -1 15.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 15.179 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.179 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.179 * [taylor]: Taking taylor expansion of f in f 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [backup-simplify]: Simplify (/ 1 1) into 1 15.179 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.180 * [taylor]: Taking taylor expansion of n in f 15.180 * [backup-simplify]: Simplify n into n 15.180 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.180 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 15.180 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.180 * [taylor]: Taking taylor expansion of f in f 15.180 * [backup-simplify]: Simplify 0 into 0 15.180 * [backup-simplify]: Simplify 1 into 1 15.180 * [backup-simplify]: Simplify (/ 1 1) into 1 15.180 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.180 * [taylor]: Taking taylor expansion of n in f 15.180 * [backup-simplify]: Simplify n into n 15.180 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.181 * [backup-simplify]: Simplify (+ 1 0) into 1 15.181 * [backup-simplify]: Simplify (+ 1 0) into 1 15.182 * [backup-simplify]: Simplify (/ 1 1) into 1 15.182 * [backup-simplify]: Simplify (* -1 1) into -1 15.183 * [backup-simplify]: Simplify (exp -1) into (exp -1) 15.183 * [taylor]: Taking taylor expansion of 1 in f 15.183 * [backup-simplify]: Simplify 1 into 1 15.183 * [taylor]: Taking taylor expansion of 1 in f 15.183 * [backup-simplify]: Simplify 1 into 1 15.184 * [backup-simplify]: Simplify (- 1) into -1 15.185 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 15.187 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 15.188 * [backup-simplify]: Simplify (log (exp -1)) into -1 15.188 * [taylor]: Taking taylor expansion of -1 in n 15.188 * [backup-simplify]: Simplify -1 into -1 15.188 * [backup-simplify]: Simplify -1 into -1 15.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.189 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 15.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.190 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 15.190 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 15.190 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 15.191 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 15.192 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 15.192 * [backup-simplify]: Simplify (- 0) into 0 15.192 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 15.193 * [backup-simplify]: Simplify (+ (- (* 2 (/ (exp -1) n))) 0) into (- (* 2 (/ (exp -1) n))) 15.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 15.195 * [taylor]: Taking taylor expansion of (/ -2 n) in n 15.195 * [taylor]: Taking taylor expansion of -2 in n 15.195 * [backup-simplify]: Simplify -2 into -2 15.195 * [taylor]: Taking taylor expansion of n in n 15.195 * [backup-simplify]: Simplify 0 into 0 15.195 * [backup-simplify]: Simplify 1 into 1 15.195 * [backup-simplify]: Simplify (/ -2 1) into -2 15.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.197 * [backup-simplify]: Simplify (+ 0 0) into 0 15.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.198 * [backup-simplify]: Simplify (- 0) into 0 15.198 * [backup-simplify]: Simplify (+ 0 0) into 0 15.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 15.200 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 15.202 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 15.202 * [backup-simplify]: Simplify (- 0) into 0 15.202 * [backup-simplify]: Simplify (+ 0 0) into 0 15.203 * [backup-simplify]: Simplify (+ 0 0) into 0 15.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 15.209 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 15.209 * [taylor]: Taking taylor expansion of -2 in n 15.209 * [backup-simplify]: Simplify -2 into -2 15.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.209 * [taylor]: Taking taylor expansion of n in n 15.209 * [backup-simplify]: Simplify 0 into 0 15.209 * [backup-simplify]: Simplify 1 into 1 15.209 * [backup-simplify]: Simplify (* 1 1) into 1 15.210 * [backup-simplify]: Simplify (/ -2 1) into -2 15.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.212 * [backup-simplify]: Simplify 0 into 0 15.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.213 * [backup-simplify]: Simplify 0 into 0 15.213 * [backup-simplify]: Simplify 0 into 0 15.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.214 * [backup-simplify]: Simplify (+ 0 0) into 0 15.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.215 * [backup-simplify]: Simplify (- 0) into 0 15.215 * [backup-simplify]: Simplify (+ 0 0) into 0 15.217 * [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))) 15.219 * [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)))) 15.224 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 15.225 * [backup-simplify]: Simplify (- 0) into 0 15.226 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 15.227 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 15.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 15.239 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 15.239 * [taylor]: Taking taylor expansion of -2 in n 15.239 * [backup-simplify]: Simplify -2 into -2 15.239 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.239 * [taylor]: Taking taylor expansion of n in n 15.239 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify 1 into 1 15.239 * [backup-simplify]: Simplify (* 1 1) into 1 15.240 * [backup-simplify]: Simplify (* 1 1) into 1 15.240 * [backup-simplify]: Simplify (/ -2 1) into -2 15.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify -1 into -1 15.247 * [backup-simplify]: Simplify (log (+ 1 (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (log (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) 15.247 * [approximate]: Taking taylor expansion of (log (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in (f n) around 0 15.247 * [taylor]: Taking taylor expansion of (log (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in n 15.247 * [taylor]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in n 15.247 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 15.247 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 15.247 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 15.247 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 15.247 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 15.247 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.247 * [taylor]: Taking taylor expansion of f in n 15.247 * [backup-simplify]: Simplify f into f 15.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.247 * [taylor]: Taking taylor expansion of n in n 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 1 into 1 15.248 * [backup-simplify]: Simplify (/ 1 1) into 1 15.248 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 15.248 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.248 * [taylor]: Taking taylor expansion of n in n 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.248 * [backup-simplify]: Simplify (/ 1 1) into 1 15.248 * [taylor]: Taking taylor expansion of (/ 1 f) in n 15.248 * [taylor]: Taking taylor expansion of f in n 15.248 * [backup-simplify]: Simplify f into f 15.248 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 15.249 * [backup-simplify]: Simplify (+ 0 1) into 1 15.249 * [backup-simplify]: Simplify (+ 1 0) into 1 15.249 * [backup-simplify]: Simplify (/ 1 1) into 1 15.249 * [backup-simplify]: Simplify (exp 1) into E 15.249 * [taylor]: Taking taylor expansion of 1 in n 15.249 * [backup-simplify]: Simplify 1 into 1 15.249 * [taylor]: Taking taylor expansion of 1 in n 15.249 * [backup-simplify]: Simplify 1 into 1 15.249 * [backup-simplify]: Simplify (- 1) into -1 15.250 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 15.251 * [backup-simplify]: Simplify (+ (- E 1) 1) into E 15.251 * [backup-simplify]: Simplify (log E) into 1 15.251 * [taylor]: Taking taylor expansion of (log (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in f 15.251 * [taylor]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 15.251 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 15.251 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 15.251 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 15.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 15.251 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.251 * [taylor]: Taking taylor expansion of f in f 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (/ 1 1) into 1 15.251 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.251 * [taylor]: Taking taylor expansion of n in f 15.251 * [backup-simplify]: Simplify n into n 15.251 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 15.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.252 * [taylor]: Taking taylor expansion of n in f 15.252 * [backup-simplify]: Simplify n into n 15.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.252 * [taylor]: Taking taylor expansion of f in f 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify 1 into 1 15.252 * [backup-simplify]: Simplify (/ 1 1) into 1 15.252 * [backup-simplify]: Simplify (+ 1 0) into 1 15.252 * [backup-simplify]: Simplify (- 1) into -1 15.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.253 * [backup-simplify]: Simplify (/ 1 -1) into -1 15.253 * [backup-simplify]: Simplify (exp -1) into (exp -1) 15.253 * [taylor]: Taking taylor expansion of 1 in f 15.254 * [backup-simplify]: Simplify 1 into 1 15.254 * [taylor]: Taking taylor expansion of 1 in f 15.254 * [backup-simplify]: Simplify 1 into 1 15.254 * [backup-simplify]: Simplify (- 1) into -1 15.254 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 15.256 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 15.256 * [backup-simplify]: Simplify (log (exp -1)) into -1 15.256 * [taylor]: Taking taylor expansion of (log (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in f 15.256 * [taylor]: Taking taylor expansion of (+ (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 15.256 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 15.257 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 15.257 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 15.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 15.257 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 15.257 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.257 * [taylor]: Taking taylor expansion of f in f 15.257 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify 1 into 1 15.257 * [backup-simplify]: Simplify (/ 1 1) into 1 15.257 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.257 * [taylor]: Taking taylor expansion of n in f 15.257 * [backup-simplify]: Simplify n into n 15.257 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.257 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 15.257 * [taylor]: Taking taylor expansion of (/ 1 n) in f 15.257 * [taylor]: Taking taylor expansion of n in f 15.257 * [backup-simplify]: Simplify n into n 15.257 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.257 * [taylor]: Taking taylor expansion of (/ 1 f) in f 15.257 * [taylor]: Taking taylor expansion of f in f 15.257 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify 1 into 1 15.258 * [backup-simplify]: Simplify (/ 1 1) into 1 15.258 * [backup-simplify]: Simplify (+ 1 0) into 1 15.258 * [backup-simplify]: Simplify (- 1) into -1 15.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.259 * [backup-simplify]: Simplify (/ 1 -1) into -1 15.259 * [backup-simplify]: Simplify (exp -1) into (exp -1) 15.259 * [taylor]: Taking taylor expansion of 1 in f 15.259 * [backup-simplify]: Simplify 1 into 1 15.259 * [taylor]: Taking taylor expansion of 1 in f 15.259 * [backup-simplify]: Simplify 1 into 1 15.259 * [backup-simplify]: Simplify (- 1) into -1 15.260 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 15.261 * [backup-simplify]: Simplify (+ (- (exp -1) 1) 1) into (exp -1) 15.262 * [backup-simplify]: Simplify (log (exp -1)) into -1 15.262 * [taylor]: Taking taylor expansion of -1 in n 15.262 * [backup-simplify]: Simplify -1 into -1 15.262 * [backup-simplify]: Simplify -1 into -1 15.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.263 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 15.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.264 * [backup-simplify]: Simplify (- 0) into 0 15.264 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 15.264 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 15.265 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 15.265 * [backup-simplify]: Simplify (- 0) into 0 15.266 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 15.266 * [backup-simplify]: Simplify (+ (- (* 2 (/ (exp -1) n))) 0) into (- (* 2 (/ (exp -1) n))) 15.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 15.268 * [taylor]: Taking taylor expansion of (/ -2 n) in n 15.268 * [taylor]: Taking taylor expansion of -2 in n 15.268 * [backup-simplify]: Simplify -2 into -2 15.268 * [taylor]: Taking taylor expansion of n in n 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 1 into 1 15.269 * [backup-simplify]: Simplify (/ -2 1) into -2 15.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.271 * [backup-simplify]: Simplify (+ 0 0) into 0 15.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 15.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.273 * [backup-simplify]: Simplify (- 0) into 0 15.274 * [backup-simplify]: Simplify (+ 0 0) into 0 15.276 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 15.278 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 15.278 * [backup-simplify]: Simplify (- 0) into 0 15.278 * [backup-simplify]: Simplify (+ 0 0) into 0 15.279 * [backup-simplify]: Simplify (+ 0 0) into 0 15.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 15.282 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 15.282 * [taylor]: Taking taylor expansion of -2 in n 15.282 * [backup-simplify]: Simplify -2 into -2 15.282 * [taylor]: Taking taylor expansion of (pow n 2) in n 15.282 * [taylor]: Taking taylor expansion of n in n 15.282 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify 1 into 1 15.282 * [backup-simplify]: Simplify (* 1 1) into 1 15.282 * [backup-simplify]: Simplify (/ -2 1) into -2 15.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.285 * [backup-simplify]: Simplify 0 into 0 15.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.287 * [backup-simplify]: Simplify (+ 0 0) into 0 15.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 15.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.288 * [backup-simplify]: Simplify (- 0) into 0 15.288 * [backup-simplify]: Simplify (+ 0 0) into 0 15.290 * [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)))) 15.293 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 15.293 * [backup-simplify]: Simplify (- 0) into 0 15.294 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 15.294 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 15.301 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 15.301 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 15.301 * [taylor]: Taking taylor expansion of -2 in n 15.301 * [backup-simplify]: Simplify -2 into -2 15.301 * [taylor]: Taking taylor expansion of (pow n 3) in n 15.301 * [taylor]: Taking taylor expansion of n in n 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 1 into 1 15.301 * [backup-simplify]: Simplify (* 1 1) into 1 15.302 * [backup-simplify]: Simplify (* 1 1) into 1 15.302 * [backup-simplify]: Simplify (/ -2 1) into -2 15.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 15.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.311 * [backup-simplify]: Simplify 0 into 0 15.312 * [backup-simplify]: Simplify -1 into -1 15.312 * * * [progress]: simplifying candidates 15.312 * * * * [progress]: [ 1 / 160 ] simplifiying candidate #real (real->posit16 (expm1 (/ (- (+ f n)) (- f n))))))))> 15.312 * * * * [progress]: [ 2 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 3 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 4 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 5 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 6 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 7 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 8 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 9 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 10 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 11 / 160 ] simplifiying candidate # 15.312 * * * * [progress]: [ 12 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 13 / 160 ] simplifiying candidate #real (real->posit16 (+ 1 (expm1 (/ (- (+ f n)) (- f n))))))))> 15.313 * * * * [progress]: [ 14 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 15 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 16 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 17 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 18 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 19 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 20 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 21 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 22 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 23 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 24 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 25 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 26 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 27 / 160 ] simplifiying candidate # 15.313 * * * * [progress]: [ 28 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 29 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 30 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 31 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 32 / 160 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n))))))))> 15.314 * * * * [progress]: [ 33 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 34 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 35 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 36 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 37 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 38 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 39 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 40 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 41 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 42 / 160 ] simplifiying candidate # 15.314 * * * * [progress]: [ 43 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 44 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 45 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 46 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 47 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 48 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 49 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 50 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 51 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 52 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 53 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 54 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 55 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 56 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 57 / 160 ] simplifiying candidate # 15.315 * * * * [progress]: [ 58 / 160 ] simplifiying candidate # 15.316 * * * * [progress]: [ 59 / 160 ] simplifiying candidate # 15.316 * * * * [progress]: [ 60 / 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candidate # 15.317 * * * * [progress]: [ 76 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 77 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 78 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 79 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 80 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 81 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 82 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 83 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 84 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 85 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 86 / 160 ] simplifiying candidate # 15.317 * * * * [progress]: [ 87 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 88 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 89 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 90 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 91 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 92 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 93 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 94 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 95 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 96 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 97 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 98 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 99 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 100 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 101 / 160 ] simplifiying candidate # 15.318 * * * * [progress]: [ 102 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 103 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 104 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 105 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 106 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 107 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 108 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 109 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 110 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 111 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 112 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 113 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 114 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 115 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 116 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 117 / 160 ] simplifiying candidate # 15.319 * * * * [progress]: [ 118 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 119 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 120 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 121 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 122 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 123 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 124 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 125 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 126 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 127 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 128 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 129 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 130 / 160 ] simplifiying candidate #real (real->posit16 (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))))))> 15.320 * * * * [progress]: [ 131 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 132 / 160 ] simplifiying candidate # 15.320 * * * * [progress]: [ 133 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 134 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 135 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 136 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 137 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 138 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 139 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 140 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 141 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 142 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 143 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 144 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 145 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 146 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 147 / 160 ] simplifiying candidate # 15.321 * * * * [progress]: [ 148 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 149 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 150 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 151 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 152 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 153 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 154 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 155 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 156 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 157 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 158 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 159 / 160 ] simplifiying candidate # 15.322 * * * * [progress]: [ 160 / 160 ] simplifiying candidate # 15.325 * [simplify]: Simplifying: (real->posit16 (expm1 (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (real->posit16 (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (expm1 (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (log1p (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (* (exp 1) (exp (expm1 (/ (- (+ f n)) (- f n))))) (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (exp (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (* (* (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (+ (pow 1 3) (pow (expm1 (/ (- (+ f n)) (- f n))) 3)) (+ (* 1 1) (- (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (* 1 (expm1 (/ (- (+ f n)) (- f n)))))) (- (* 1 1) (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))))) (- 1 (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (exp (/ (- (+ f n)) (- f n)))) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (expm1 (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log1p (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log (* (cbrt (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (+ 1 (expm1 (/ (- (+ f n)) (- f n))))))) (log (cbrt (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log (sqrt (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log (sqrt (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log 1) (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (log 1) (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (log (+ (pow 1 3) (pow (expm1 (/ (- (+ f n)) (- f n))) 3))) (log (+ (* 1 1) (- (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (* 1 (expm1 (/ (- (+ f n)) (- f n))))))) (log (- (* 1 1) (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))))) (log (- 1 (expm1 (/ (- (+ f n)) (- f n))))) (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (log (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (exp (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (* (cbrt (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))))) (cbrt (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (* (* (log (+ 1 (expm1 (/ (- (+ f n)) (- f n))))) (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (sqrt (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (sqrt (log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) E (exp -1) (exp -1) 1 -1 -1 1 -1 -1 15.329 * * [simplify]: iteration 0: 191 enodes 15.627 * * [simplify]: iteration 1: 437 enodes 16.166 * * [simplify]: iteration 2: 1055 enodes 17.750 * * [simplify]: iteration 3: 2869 enodes 21.286 * * [simplify]: iteration complete: 5000 enodes 21.286 * * [simplify]: Extracting #0: cost 121 inf + 0 21.287 * * [simplify]: Extracting #1: cost 516 inf + 159 21.299 * * [simplify]: Extracting #2: cost 893 inf + 1062 21.318 * * [simplify]: Extracting #3: cost 771 inf + 38548 21.365 * * [simplify]: Extracting #4: cost 202 inf + 171622 21.426 * * [simplify]: Extracting #5: cost 48 inf + 209234 21.487 * * [simplify]: Extracting #6: cost 8 inf + 218358 21.557 * * [simplify]: Extracting #7: cost 0 inf + 220382 21.619 * [simplify]: Simplified to: (real->posit16 (expm1 (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (real->posit16 (exp (/ (- (+ f n)) (- f n)))) (expm1 (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (exp (fma 2 (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (fma (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) 1) (fma (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (- 1 (expm1 (/ (- (+ f n)) (- f n))))) (- 1 (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))))) (- 1 (expm1 (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n))) (+ 1 (exp (/ (- (+ f n)) (- f n)))) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (* (/ (+ 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 f) (sqrt n)) (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 f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (* (/ 1 (cbrt (- f n))) (/ 1 (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (* (/ (cbrt (+ f n)) (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 f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (/ (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 f) (sqrt n))) (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 f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (* (/ 1 (cbrt (- f n))) (/ 1 (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (* (/ 1 (cbrt (- f n))) (/ 1 (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (/ (- (+ f n)) (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (* f (* f f)) (* (* n n) n))) (- (/ 1 (- f n))) (fma (- f n) (* n n) (* (- f n) (* (- f n) f))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) 0 (/ (- (+ f n)) (- f n)) 0 (/ (- (+ f n)) (- f n)) (log (fma (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) 1)) (log (fma (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n))) (- 1 (expm1 (/ (- (+ f n)) (- f n)))))) (+ (/ (- (+ f n)) (- f n)) (log (- 1 (expm1 (/ (- (+ f n)) (- f n)))))) (log (- 1 (expm1 (/ (- (+ f n)) (- f n))))) (/ (- (+ f n)) (- f n)) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- E 1) (expm1 -1) (expm1 -1) E (/ 1 E) (/ 1 E) 1 -1 -1 1 -1 -1 21.636 * * * [progress]: adding candidates to table 23.232 * * [progress]: iteration 4 / 4 23.232 * * * [progress]: picking best candidate 23.251 * * * * [pick]: Picked # 23.251 * * * [progress]: localizing error 23.469 * * * [progress]: generating rewritten candidates 23.469 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 23.471 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 23.576 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 23.701 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 23.875 * * * [progress]: generating series expansions 23.875 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 23.877 * [backup-simplify]: Simplify (expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))) into (expm1 (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) 23.877 * [approximate]: Taking taylor expansion of (expm1 (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in (f n) around 0 23.877 * [taylor]: Taking taylor expansion of (expm1 (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in n 23.877 * [taylor]: Rewrote expression to (- (exp (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) 1) 23.877 * [taylor]: Taking taylor expansion of (exp (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in n 23.877 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in n 23.877 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ n f)) in n 23.877 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 23.878 * [taylor]: Taking taylor expansion of (cbrt -1) in n 23.878 * [taylor]: Taking taylor expansion of -1 in n 23.878 * [backup-simplify]: Simplify -1 into -1 23.878 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 23.879 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 23.879 * [taylor]: Taking taylor expansion of (+ n f) in n 23.879 * [taylor]: Taking taylor expansion of n in n 23.879 * [backup-simplify]: Simplify 0 into 0 23.879 * [backup-simplify]: Simplify 1 into 1 23.879 * [taylor]: Taking taylor expansion of f in n 23.879 * [backup-simplify]: Simplify f into f 23.879 * [taylor]: Taking taylor expansion of (- f n) in n 23.879 * [taylor]: Taking taylor expansion of f in n 23.879 * [backup-simplify]: Simplify f into f 23.879 * [taylor]: Taking taylor expansion of n in n 23.879 * [backup-simplify]: Simplify 0 into 0 23.879 * [backup-simplify]: Simplify 1 into 1 23.880 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 23.882 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 23.882 * [backup-simplify]: Simplify (+ 0 f) into f 23.883 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) f) into (* -1 f) 23.883 * [backup-simplify]: Simplify (- 0) into 0 23.883 * [backup-simplify]: Simplify (+ f 0) into f 23.883 * [backup-simplify]: Simplify (/ (* -1 f) f) into -1 23.884 * [backup-simplify]: Simplify (exp -1) into (exp -1) 23.884 * [taylor]: Taking taylor expansion of 1 in n 23.884 * [backup-simplify]: Simplify 1 into 1 23.884 * [taylor]: Taking taylor expansion of (expm1 (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in f 23.884 * [taylor]: Rewrote expression to (- (exp (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) 1) 23.884 * [taylor]: Taking taylor expansion of (exp (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in f 23.884 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in f 23.884 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ n f)) in f 23.884 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 23.884 * [taylor]: Taking taylor expansion of (cbrt -1) in f 23.884 * [taylor]: Taking taylor expansion of -1 in f 23.884 * [backup-simplify]: Simplify -1 into -1 23.884 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 23.885 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 23.885 * [taylor]: Taking taylor expansion of (+ n f) in f 23.885 * [taylor]: Taking taylor expansion of n in f 23.885 * [backup-simplify]: Simplify n into n 23.885 * [taylor]: Taking taylor expansion of f in f 23.885 * [backup-simplify]: Simplify 0 into 0 23.885 * [backup-simplify]: Simplify 1 into 1 23.885 * [taylor]: Taking taylor expansion of (- f n) in f 23.885 * [taylor]: Taking taylor expansion of f in f 23.885 * [backup-simplify]: Simplify 0 into 0 23.885 * [backup-simplify]: Simplify 1 into 1 23.885 * [taylor]: Taking taylor expansion of n in f 23.885 * [backup-simplify]: Simplify n into n 23.886 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 23.888 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 23.888 * [backup-simplify]: Simplify (+ n 0) into n 23.889 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) n) into (* -1 n) 23.889 * [backup-simplify]: Simplify (- n) into (- n) 23.889 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 23.889 * [backup-simplify]: Simplify (/ (* -1 n) (- n)) into 1 23.889 * [backup-simplify]: Simplify (exp 1) into E 23.889 * [taylor]: Taking taylor expansion of 1 in f 23.889 * [backup-simplify]: Simplify 1 into 1 23.889 * [taylor]: Taking taylor expansion of (expm1 (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in f 23.889 * [taylor]: Rewrote expression to (- (exp (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) 1) 23.889 * [taylor]: Taking taylor expansion of (exp (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n))) in f 23.889 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) (+ n f)) (- f n)) in f 23.889 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (+ n f)) in f 23.889 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 23.889 * [taylor]: Taking taylor expansion of (cbrt -1) in f 23.889 * [taylor]: Taking taylor expansion of -1 in f 23.889 * [backup-simplify]: Simplify -1 into -1 23.890 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 23.890 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 23.890 * [taylor]: Taking taylor expansion of (+ n f) in f 23.890 * [taylor]: Taking taylor expansion of n in f 23.890 * [backup-simplify]: Simplify n into n 23.890 * [taylor]: Taking taylor expansion of f in f 23.890 * [backup-simplify]: Simplify 0 into 0 23.890 * [backup-simplify]: Simplify 1 into 1 23.890 * [taylor]: Taking taylor expansion of (- f n) in f 23.890 * [taylor]: Taking taylor expansion of f in f 23.890 * [backup-simplify]: Simplify 0 into 0 23.890 * [backup-simplify]: Simplify 1 into 1 23.890 * [taylor]: Taking taylor expansion of n in f 23.890 * [backup-simplify]: Simplify n into n 23.891 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 23.893 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 23.893 * [backup-simplify]: Simplify (+ n 0) into n 23.894 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) n) into (* -1 n) 23.894 * [backup-simplify]: Simplify (- n) into (- n) 23.894 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 23.894 * [backup-simplify]: Simplify (/ (* -1 n) (- n)) into 1 23.894 * [backup-simplify]: Simplify (exp 1) into E 23.894 * [taylor]: Taking taylor expansion of 1 in f 23.894 * [backup-simplify]: Simplify 1 into 1 23.894 * [backup-simplify]: Simplify (- 1) into -1 23.895 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 23.895 * [taylor]: Taking taylor expansion of (- E 1) in n 23.895 * [taylor]: Taking taylor expansion of E in n 23.895 * [backup-simplify]: Simplify E into E 23.895 * [taylor]: Taking taylor expansion of 1 in n 23.895 * [backup-simplify]: Simplify 1 into 1 23.895 * [backup-simplify]: Simplify (- 1) into -1 23.896 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 23.896 * [backup-simplify]: Simplify (- E 1) into (- E 1) 23.896 * [backup-simplify]: Simplify (+ 0 1) into 1 23.897 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 23.898 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 23.899 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 1) (* 0 n)) into (- 1) 23.899 * [backup-simplify]: Simplify (- 0) into 0 23.899 * [backup-simplify]: Simplify (+ 1 0) into 1 23.900 * [backup-simplify]: Simplify (- (/ (- 1) (- n)) (+ (* 1 (/ 1 (- n))))) into (* 2 (/ 1 n)) 23.900 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 23.901 * [backup-simplify]: Simplify (- 0) into 0 23.901 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 23.901 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 23.901 * [taylor]: Taking taylor expansion of 2 in n 23.901 * [backup-simplify]: Simplify 2 into 2 23.901 * [taylor]: Taking taylor expansion of (/ E n) in n 23.901 * [taylor]: Taking taylor expansion of E in n 23.901 * [backup-simplify]: Simplify E into E 23.901 * [taylor]: Taking taylor expansion of n in n 23.901 * [backup-simplify]: Simplify 0 into 0 23.901 * [backup-simplify]: Simplify 1 into 1 23.901 * [backup-simplify]: Simplify (/ E 1) into E 23.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 23.903 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 23.903 * [backup-simplify]: Simplify 0 into 0 23.903 * [backup-simplify]: Simplify (- 0) into 0 23.903 * [backup-simplify]: Simplify (+ 0 0) into 0 23.903 * [backup-simplify]: Simplify 0 into 0 23.904 * [backup-simplify]: Simplify (+ 0 0) into 0 23.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 23.905 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 23.906 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 23.907 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 1) (* 0 n))) into 0 23.907 * [backup-simplify]: Simplify (- 0) into 0 23.908 * [backup-simplify]: Simplify (+ 0 0) into 0 23.908 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* 1 (/ 0 (- n))) (* (* 2 (/ 1 n)) (/ 1 (- n))))) into (* 2 (/ 1 (pow n 2))) 23.909 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 23.910 * [backup-simplify]: Simplify (- 0) into 0 23.910 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 23.910 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 23.910 * [taylor]: Taking taylor expansion of 4 in n 23.910 * [backup-simplify]: Simplify 4 into 4 23.910 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 23.910 * [taylor]: Taking taylor expansion of E in n 23.910 * [backup-simplify]: Simplify E into E 23.910 * [taylor]: Taking taylor expansion of (pow n 2) in n 23.910 * [taylor]: Taking taylor expansion of n in n 23.910 * [backup-simplify]: Simplify 0 into 0 23.910 * [backup-simplify]: Simplify 1 into 1 23.911 * [backup-simplify]: Simplify (* 1 1) into 1 23.911 * [backup-simplify]: Simplify (/ E 1) into E 23.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 23.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.914 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 23.914 * [backup-simplify]: Simplify 0 into 0 23.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.915 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 23.916 * [backup-simplify]: Simplify 0 into 0 23.916 * [backup-simplify]: Simplify (- 0) into 0 23.916 * [backup-simplify]: Simplify (+ 0 0) into 0 23.916 * [backup-simplify]: Simplify 0 into 0 23.916 * [backup-simplify]: Simplify (+ 0 0) into 0 23.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 23.918 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 23.919 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 23.920 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 23.920 * [backup-simplify]: Simplify (- 0) into 0 23.921 * [backup-simplify]: Simplify (+ 0 0) into 0 23.922 * [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))) 23.924 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 23.924 * [backup-simplify]: Simplify (- 0) into 0 23.925 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 23.925 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 23.925 * [taylor]: Taking taylor expansion of 22/3 in n 23.925 * [backup-simplify]: Simplify 22/3 into 22/3 23.925 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 23.925 * [taylor]: Taking taylor expansion of E in n 23.925 * [backup-simplify]: Simplify E into E 23.925 * [taylor]: Taking taylor expansion of (pow n 3) in n 23.925 * [taylor]: Taking taylor expansion of n in n 23.925 * [backup-simplify]: Simplify 0 into 0 23.925 * [backup-simplify]: Simplify 1 into 1 23.925 * [backup-simplify]: Simplify (* 1 1) into 1 23.925 * [backup-simplify]: Simplify (* 1 1) into 1 23.926 * [backup-simplify]: Simplify (/ E 1) into E 23.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 23.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.932 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 23.932 * [backup-simplify]: Simplify 0 into 0 23.933 * [backup-simplify]: Simplify (- E 1) into (- E 1) 23.935 * [backup-simplify]: Simplify (expm1 (* (* (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) (cbrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))))) into (expm1 (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) 23.935 * [approximate]: Taking taylor expansion of (expm1 (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 23.935 * [taylor]: Taking taylor expansion of (expm1 (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in n 23.935 * [taylor]: Rewrote expression to (- (exp (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) 1) 23.935 * [taylor]: Taking taylor expansion of (exp (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in n 23.935 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n))) in n 23.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) in n 23.935 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 23.935 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.935 * [taylor]: Taking taylor expansion of f in n 23.935 * [backup-simplify]: Simplify f into f 23.935 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.935 * [taylor]: Taking taylor expansion of n in n 23.935 * [backup-simplify]: Simplify 0 into 0 23.935 * [backup-simplify]: Simplify 1 into 1 23.936 * [backup-simplify]: Simplify (/ 1 1) into 1 23.936 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 23.936 * [taylor]: Taking taylor expansion of (cbrt -1) in n 23.936 * [taylor]: Taking taylor expansion of -1 in n 23.936 * [backup-simplify]: Simplify -1 into -1 23.936 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 23.937 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 23.937 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 23.937 * [taylor]: Taking taylor expansion of (/ 1 f) in n 23.937 * [taylor]: Taking taylor expansion of f in n 23.937 * [backup-simplify]: Simplify f into f 23.937 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 23.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 23.937 * [taylor]: Taking taylor expansion of n in n 23.937 * [backup-simplify]: Simplify 0 into 0 23.937 * [backup-simplify]: Simplify 1 into 1 23.937 * [backup-simplify]: Simplify (/ 1 1) into 1 23.938 * [backup-simplify]: Simplify (+ 0 1) into 1 23.939 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 23.942 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 23.944 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 3)) into -1 23.944 * [backup-simplify]: Simplify (- 1) into -1 23.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 23.945 * [backup-simplify]: Simplify (/ -1 -1) into 1 23.945 * [backup-simplify]: Simplify (exp 1) into E 23.945 * [taylor]: Taking taylor expansion of 1 in n 23.946 * [backup-simplify]: Simplify 1 into 1 23.946 * [taylor]: Taking taylor expansion of (expm1 (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in f 23.946 * [taylor]: Rewrote expression to (- (exp (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) 1) 23.946 * [taylor]: Taking taylor expansion of (exp (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in f 23.946 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n))) in f 23.946 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) in f 23.946 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.946 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.946 * [taylor]: Taking taylor expansion of f in f 23.946 * [backup-simplify]: Simplify 0 into 0 23.946 * [backup-simplify]: Simplify 1 into 1 23.946 * [backup-simplify]: Simplify (/ 1 1) into 1 23.946 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.946 * [taylor]: Taking taylor expansion of n in f 23.947 * [backup-simplify]: Simplify n into n 23.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.947 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 23.947 * [taylor]: Taking taylor expansion of (cbrt -1) in f 23.947 * [taylor]: Taking taylor expansion of -1 in f 23.947 * [backup-simplify]: Simplify -1 into -1 23.947 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 23.948 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 23.948 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 23.948 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.948 * [taylor]: Taking taylor expansion of f in f 23.948 * [backup-simplify]: Simplify 0 into 0 23.948 * [backup-simplify]: Simplify 1 into 1 23.949 * [backup-simplify]: Simplify (/ 1 1) into 1 23.949 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.949 * [taylor]: Taking taylor expansion of n in f 23.949 * [backup-simplify]: Simplify n into n 23.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.949 * [backup-simplify]: Simplify (+ 1 0) into 1 23.951 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 23.953 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 23.956 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 3)) into -1 23.956 * [backup-simplify]: Simplify (+ 1 0) into 1 23.956 * [backup-simplify]: Simplify (/ -1 1) into -1 23.957 * [backup-simplify]: Simplify (exp -1) into (exp -1) 23.957 * [taylor]: Taking taylor expansion of 1 in f 23.957 * [backup-simplify]: Simplify 1 into 1 23.957 * [taylor]: Taking taylor expansion of (expm1 (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in f 23.957 * [taylor]: Rewrote expression to (- (exp (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) 1) 23.957 * [taylor]: Taking taylor expansion of (exp (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n)))) in f 23.957 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) (- (/ 1 f) (/ 1 n))) in f 23.957 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (pow (cbrt -1) 3)) in f 23.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 23.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.958 * [taylor]: Taking taylor expansion of f in f 23.958 * [backup-simplify]: Simplify 0 into 0 23.958 * [backup-simplify]: Simplify 1 into 1 23.958 * [backup-simplify]: Simplify (/ 1 1) into 1 23.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.958 * [taylor]: Taking taylor expansion of n in f 23.958 * [backup-simplify]: Simplify n into n 23.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.958 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in f 23.958 * [taylor]: Taking taylor expansion of (cbrt -1) in f 23.958 * [taylor]: Taking taylor expansion of -1 in f 23.958 * [backup-simplify]: Simplify -1 into -1 23.959 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 23.960 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 23.960 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 23.960 * [taylor]: Taking taylor expansion of (/ 1 f) in f 23.960 * [taylor]: Taking taylor expansion of f in f 23.960 * [backup-simplify]: Simplify 0 into 0 23.960 * [backup-simplify]: Simplify 1 into 1 23.960 * [backup-simplify]: Simplify (/ 1 1) into 1 23.960 * [taylor]: Taking taylor expansion of (/ 1 n) in f 23.960 * [taylor]: Taking taylor expansion of n in f 23.960 * [backup-simplify]: Simplify n into n 23.960 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 23.961 * [backup-simplify]: Simplify (+ 1 0) into 1 23.962 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 23.965 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 23.967 * [backup-simplify]: Simplify (* 1 (pow (cbrt -1) 3)) into -1 23.968 * [backup-simplify]: Simplify (+ 1 0) into 1 23.968 * [backup-simplify]: Simplify (/ -1 1) into -1 23.969 * [backup-simplify]: Simplify (exp -1) into (exp -1) 23.969 * [taylor]: Taking taylor expansion of 1 in f 23.969 * [backup-simplify]: Simplify 1 into 1 23.969 * [backup-simplify]: Simplify (- 1) into -1 23.970 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 23.970 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 23.970 * [taylor]: Taking taylor expansion of (exp -1) in n 23.970 * [taylor]: Taking taylor expansion of -1 in n 23.971 * [backup-simplify]: Simplify -1 into -1 23.971 * [backup-simplify]: Simplify (exp -1) into (exp -1) 23.971 * [taylor]: Taking taylor expansion of 1 in n 23.971 * [backup-simplify]: Simplify 1 into 1 23.972 * [backup-simplify]: Simplify (- 1) into -1 23.973 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 23.974 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 23.975 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 23.976 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 23.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.977 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 23.984 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) (pow (cbrt -1) 3))) into (- (/ 1 n)) 23.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.985 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 23.985 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 23.986 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 n))) 23.988 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 23.988 * [backup-simplify]: Simplify (- 0) into 0 23.989 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 23.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 23.989 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 23.989 * [taylor]: Taking taylor expansion of 2 in n 23.989 * [backup-simplify]: Simplify 2 into 2 23.989 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 23.989 * [taylor]: Taking taylor expansion of (exp -1) in n 23.989 * [taylor]: Taking taylor expansion of -1 in n 23.989 * [backup-simplify]: Simplify -1 into -1 23.990 * [backup-simplify]: Simplify (exp -1) into (exp -1) 23.990 * [taylor]: Taking taylor expansion of n in n 23.990 * [backup-simplify]: Simplify 0 into 0 23.990 * [backup-simplify]: Simplify 1 into 1 23.992 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 23.993 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 23.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 23.995 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 23.995 * [backup-simplify]: Simplify (- 0) into 0 23.996 * [backup-simplify]: Simplify 0 into 0 23.997 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 23.997 * [backup-simplify]: Simplify (- 0) into 0 23.998 * [backup-simplify]: Simplify (+ 0 0) into 0 23.998 * [backup-simplify]: Simplify 0 into 0 23.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 24.001 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 24.002 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 24.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.004 * [backup-simplify]: Simplify (+ 0 0) into 0 24.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (pow (cbrt -1) 3)))) into 0 24.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.008 * [backup-simplify]: Simplify (- 0) into 0 24.008 * [backup-simplify]: Simplify (+ 0 0) into 0 24.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (- (/ 1 n)) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 24.013 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 24.014 * [backup-simplify]: Simplify (- 0) into 0 24.014 * [backup-simplify]: Simplify (+ 0 0) into 0 24.014 * [taylor]: Taking taylor expansion of 0 in n 24.015 * [backup-simplify]: Simplify 0 into 0 24.015 * [backup-simplify]: Simplify 0 into 0 24.017 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 24.020 * [backup-simplify]: Simplify (- 0) into 0 24.020 * [backup-simplify]: Simplify 0 into 0 24.022 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.023 * [backup-simplify]: Simplify (- 0) into 0 24.023 * [backup-simplify]: Simplify (+ 0 0) into 0 24.023 * [backup-simplify]: Simplify 0 into 0 24.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 24.026 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 24.028 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 24.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.030 * [backup-simplify]: Simplify (+ 0 0) into 0 24.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 24.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.034 * [backup-simplify]: Simplify (- 0) into 0 24.035 * [backup-simplify]: Simplify (+ 0 0) into 0 24.038 * [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)))) 24.043 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 24.043 * [backup-simplify]: Simplify (- 0) into 0 24.045 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 24.045 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 24.045 * [taylor]: Taking taylor expansion of 2/3 in n 24.045 * [backup-simplify]: Simplify 2/3 into 2/3 24.045 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 24.045 * [taylor]: Taking taylor expansion of (exp -1) in n 24.045 * [taylor]: Taking taylor expansion of -1 in n 24.045 * [backup-simplify]: Simplify -1 into -1 24.045 * [backup-simplify]: Simplify (exp -1) into (exp -1) 24.045 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.045 * [taylor]: Taking taylor expansion of n in n 24.046 * [backup-simplify]: Simplify 0 into 0 24.046 * [backup-simplify]: Simplify 1 into 1 24.046 * [backup-simplify]: Simplify (* 1 1) into 1 24.047 * [backup-simplify]: Simplify (* 1 1) into 1 24.048 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 24.050 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.055 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 24.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 24.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.060 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.064 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 24.064 * [backup-simplify]: Simplify 0 into 0 24.066 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 24.071 * [backup-simplify]: Simplify (expm1 (* (* (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) (cbrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 24.071 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 24.071 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 24.071 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 24.071 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 24.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 24.071 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.071 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.071 * [taylor]: Taking taylor expansion of f in n 24.071 * [backup-simplify]: Simplify f into f 24.071 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.071 * [taylor]: Taking taylor expansion of n in n 24.071 * [backup-simplify]: Simplify 0 into 0 24.071 * [backup-simplify]: Simplify 1 into 1 24.072 * [backup-simplify]: Simplify (/ 1 1) into 1 24.072 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 24.072 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.072 * [taylor]: Taking taylor expansion of n in n 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 1 into 1 24.073 * [backup-simplify]: Simplify (/ 1 1) into 1 24.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.073 * [taylor]: Taking taylor expansion of f in n 24.073 * [backup-simplify]: Simplify f into f 24.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.073 * [backup-simplify]: Simplify (+ 0 1) into 1 24.074 * [backup-simplify]: Simplify (+ 1 0) into 1 24.074 * [backup-simplify]: Simplify (/ 1 1) into 1 24.074 * [backup-simplify]: Simplify (exp 1) into E 24.074 * [taylor]: Taking taylor expansion of 1 in n 24.074 * [backup-simplify]: Simplify 1 into 1 24.074 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 24.074 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 24.075 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 24.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.075 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.075 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.075 * [taylor]: Taking taylor expansion of f in f 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 1 into 1 24.075 * [backup-simplify]: Simplify (/ 1 1) into 1 24.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.075 * [taylor]: Taking taylor expansion of n in f 24.075 * [backup-simplify]: Simplify n into n 24.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.075 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.075 * [taylor]: Taking taylor expansion of n in f 24.075 * [backup-simplify]: Simplify n into n 24.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.076 * [taylor]: Taking taylor expansion of f in f 24.076 * [backup-simplify]: Simplify 0 into 0 24.076 * [backup-simplify]: Simplify 1 into 1 24.076 * [backup-simplify]: Simplify (/ 1 1) into 1 24.077 * [backup-simplify]: Simplify (+ 1 0) into 1 24.077 * [backup-simplify]: Simplify (- 1) into -1 24.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.078 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.079 * [backup-simplify]: Simplify (exp -1) into (exp -1) 24.079 * [taylor]: Taking taylor expansion of 1 in f 24.079 * [backup-simplify]: Simplify 1 into 1 24.079 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 24.079 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 24.079 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 24.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.079 * [taylor]: Taking taylor expansion of f in f 24.079 * [backup-simplify]: Simplify 0 into 0 24.079 * [backup-simplify]: Simplify 1 into 1 24.080 * [backup-simplify]: Simplify (/ 1 1) into 1 24.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.080 * [taylor]: Taking taylor expansion of n in f 24.080 * [backup-simplify]: Simplify n into n 24.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.080 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.080 * [taylor]: Taking taylor expansion of n in f 24.080 * [backup-simplify]: Simplify n into n 24.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.080 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.080 * [taylor]: Taking taylor expansion of f in f 24.080 * [backup-simplify]: Simplify 0 into 0 24.080 * [backup-simplify]: Simplify 1 into 1 24.081 * [backup-simplify]: Simplify (/ 1 1) into 1 24.081 * [backup-simplify]: Simplify (+ 1 0) into 1 24.081 * [backup-simplify]: Simplify (- 1) into -1 24.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.082 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.083 * [backup-simplify]: Simplify (exp -1) into (exp -1) 24.083 * [taylor]: Taking taylor expansion of 1 in f 24.083 * [backup-simplify]: Simplify 1 into 1 24.084 * [backup-simplify]: Simplify (- 1) into -1 24.085 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 24.085 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 24.085 * [taylor]: Taking taylor expansion of (exp -1) in n 24.085 * [taylor]: Taking taylor expansion of -1 in n 24.085 * [backup-simplify]: Simplify -1 into -1 24.085 * [backup-simplify]: Simplify (exp -1) into (exp -1) 24.085 * [taylor]: Taking taylor expansion of 1 in n 24.086 * [backup-simplify]: Simplify 1 into 1 24.086 * [backup-simplify]: Simplify (- 1) into -1 24.087 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 24.089 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 24.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.090 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.091 * [backup-simplify]: Simplify (- 0) into 0 24.092 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 24.092 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 24.094 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 24.094 * [backup-simplify]: Simplify (- 0) into 0 24.095 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 24.095 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 24.095 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 24.095 * [taylor]: Taking taylor expansion of 2 in n 24.095 * [backup-simplify]: Simplify 2 into 2 24.095 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 24.095 * [taylor]: Taking taylor expansion of (exp -1) in n 24.095 * [taylor]: Taking taylor expansion of -1 in n 24.095 * [backup-simplify]: Simplify -1 into -1 24.096 * [backup-simplify]: Simplify (exp -1) into (exp -1) 24.096 * [taylor]: Taking taylor expansion of n in n 24.096 * [backup-simplify]: Simplify 0 into 0 24.096 * [backup-simplify]: Simplify 1 into 1 24.097 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 24.099 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 24.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 24.101 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 24.101 * [backup-simplify]: Simplify (- 0) into 0 24.101 * [backup-simplify]: Simplify 0 into 0 24.103 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 24.103 * [backup-simplify]: Simplify (- 0) into 0 24.104 * [backup-simplify]: Simplify (+ 0 0) into 0 24.104 * [backup-simplify]: Simplify 0 into 0 24.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.105 * [backup-simplify]: Simplify (+ 0 0) into 0 24.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.107 * [backup-simplify]: Simplify (- 0) into 0 24.108 * [backup-simplify]: Simplify (+ 0 0) into 0 24.109 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 24.112 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 24.113 * [backup-simplify]: Simplify (- 0) into 0 24.113 * [backup-simplify]: Simplify (+ 0 0) into 0 24.113 * [taylor]: Taking taylor expansion of 0 in n 24.113 * [backup-simplify]: Simplify 0 into 0 24.113 * [backup-simplify]: Simplify 0 into 0 24.115 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 24.118 * [backup-simplify]: Simplify (- 0) into 0 24.118 * [backup-simplify]: Simplify 0 into 0 24.120 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.121 * [backup-simplify]: Simplify (- 0) into 0 24.121 * [backup-simplify]: Simplify (+ 0 0) into 0 24.121 * [backup-simplify]: Simplify 0 into 0 24.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.123 * [backup-simplify]: Simplify (+ 0 0) into 0 24.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.126 * [backup-simplify]: Simplify (- 0) into 0 24.126 * [backup-simplify]: Simplify (+ 0 0) into 0 24.129 * [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)))) 24.134 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 24.135 * [backup-simplify]: Simplify (- 0) into 0 24.136 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 24.136 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 24.136 * [taylor]: Taking taylor expansion of 2/3 in n 24.136 * [backup-simplify]: Simplify 2/3 into 2/3 24.136 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 24.136 * [taylor]: Taking taylor expansion of (exp -1) in n 24.136 * [taylor]: Taking taylor expansion of -1 in n 24.136 * [backup-simplify]: Simplify -1 into -1 24.137 * [backup-simplify]: Simplify (exp -1) into (exp -1) 24.137 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.137 * [taylor]: Taking taylor expansion of n in n 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 1 into 1 24.138 * [backup-simplify]: Simplify (* 1 1) into 1 24.138 * [backup-simplify]: Simplify (* 1 1) into 1 24.139 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 24.142 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.148 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 24.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 24.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.156 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.160 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 24.160 * [backup-simplify]: Simplify 0 into 0 24.161 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 24.161 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 24.162 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 24.162 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 24.162 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 24.162 * [taylor]: Taking taylor expansion of -1 in n 24.162 * [backup-simplify]: Simplify -1 into -1 24.162 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 24.162 * [taylor]: Taking taylor expansion of (+ n f) in n 24.162 * [taylor]: Taking taylor expansion of n in n 24.162 * [backup-simplify]: Simplify 0 into 0 24.162 * [backup-simplify]: Simplify 1 into 1 24.162 * [taylor]: Taking taylor expansion of f in n 24.162 * [backup-simplify]: Simplify f into f 24.162 * [taylor]: Taking taylor expansion of (- f n) in n 24.162 * [taylor]: Taking taylor expansion of f in n 24.162 * [backup-simplify]: Simplify f into f 24.162 * [taylor]: Taking taylor expansion of n in n 24.162 * [backup-simplify]: Simplify 0 into 0 24.162 * [backup-simplify]: Simplify 1 into 1 24.163 * [backup-simplify]: Simplify (+ 0 f) into f 24.163 * [backup-simplify]: Simplify (- 0) into 0 24.163 * [backup-simplify]: Simplify (+ f 0) into f 24.163 * [backup-simplify]: Simplify (/ f f) into 1 24.163 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 24.163 * [taylor]: Taking taylor expansion of -1 in f 24.163 * [backup-simplify]: Simplify -1 into -1 24.163 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 24.163 * [taylor]: Taking taylor expansion of (+ n f) in f 24.163 * [taylor]: Taking taylor expansion of n in f 24.163 * [backup-simplify]: Simplify n into n 24.163 * [taylor]: Taking taylor expansion of f in f 24.163 * [backup-simplify]: Simplify 0 into 0 24.163 * [backup-simplify]: Simplify 1 into 1 24.164 * [taylor]: Taking taylor expansion of (- f n) in f 24.164 * [taylor]: Taking taylor expansion of f in f 24.164 * [backup-simplify]: Simplify 0 into 0 24.164 * [backup-simplify]: Simplify 1 into 1 24.164 * [taylor]: Taking taylor expansion of n in f 24.164 * [backup-simplify]: Simplify n into n 24.164 * [backup-simplify]: Simplify (+ n 0) into n 24.164 * [backup-simplify]: Simplify (- n) into (- n) 24.164 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 24.164 * [backup-simplify]: Simplify (/ n (- n)) into -1 24.164 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 24.164 * [taylor]: Taking taylor expansion of -1 in f 24.164 * [backup-simplify]: Simplify -1 into -1 24.164 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 24.164 * [taylor]: Taking taylor expansion of (+ n f) in f 24.164 * [taylor]: Taking taylor expansion of n in f 24.165 * [backup-simplify]: Simplify n into n 24.165 * [taylor]: Taking taylor expansion of f in f 24.165 * [backup-simplify]: Simplify 0 into 0 24.165 * [backup-simplify]: Simplify 1 into 1 24.165 * [taylor]: Taking taylor expansion of (- f n) in f 24.165 * [taylor]: Taking taylor expansion of f in f 24.165 * [backup-simplify]: Simplify 0 into 0 24.165 * [backup-simplify]: Simplify 1 into 1 24.165 * [taylor]: Taking taylor expansion of n in f 24.165 * [backup-simplify]: Simplify n into n 24.165 * [backup-simplify]: Simplify (+ n 0) into n 24.165 * [backup-simplify]: Simplify (- n) into (- n) 24.165 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 24.165 * [backup-simplify]: Simplify (/ n (- n)) into -1 24.166 * [backup-simplify]: Simplify (* -1 -1) into 1 24.166 * [taylor]: Taking taylor expansion of 1 in n 24.166 * [backup-simplify]: Simplify 1 into 1 24.166 * [backup-simplify]: Simplify 1 into 1 24.166 * [backup-simplify]: Simplify (+ 0 1) into 1 24.167 * [backup-simplify]: Simplify (- 0) into 0 24.167 * [backup-simplify]: Simplify (+ 1 0) into 1 24.168 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 24.169 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 24.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.169 * [taylor]: Taking taylor expansion of 2 in n 24.169 * [backup-simplify]: Simplify 2 into 2 24.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.169 * [taylor]: Taking taylor expansion of n in n 24.169 * [backup-simplify]: Simplify 0 into 0 24.169 * [backup-simplify]: Simplify 1 into 1 24.169 * [backup-simplify]: Simplify (/ 1 1) into 1 24.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.171 * [backup-simplify]: Simplify 0 into 0 24.171 * [backup-simplify]: Simplify 0 into 0 24.171 * [backup-simplify]: Simplify (+ 0 0) into 0 24.172 * [backup-simplify]: Simplify (- 0) into 0 24.172 * [backup-simplify]: Simplify (+ 0 0) into 0 24.173 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 24.176 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 24.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.176 * [taylor]: Taking taylor expansion of 2 in n 24.176 * [backup-simplify]: Simplify 2 into 2 24.176 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.176 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.176 * [taylor]: Taking taylor expansion of n in n 24.176 * [backup-simplify]: Simplify 0 into 0 24.176 * [backup-simplify]: Simplify 1 into 1 24.176 * [backup-simplify]: Simplify (* 1 1) into 1 24.177 * [backup-simplify]: Simplify (/ 1 1) into 1 24.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.181 * [backup-simplify]: Simplify 0 into 0 24.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.184 * [backup-simplify]: Simplify 0 into 0 24.184 * [backup-simplify]: Simplify 0 into 0 24.184 * [backup-simplify]: Simplify (+ 0 0) into 0 24.185 * [backup-simplify]: Simplify (- 0) into 0 24.185 * [backup-simplify]: Simplify (+ 0 0) into 0 24.187 * [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)))) 24.190 * [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))) 24.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.190 * [taylor]: Taking taylor expansion of 2 in n 24.190 * [backup-simplify]: Simplify 2 into 2 24.190 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.190 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.190 * [taylor]: Taking taylor expansion of n in n 24.190 * [backup-simplify]: Simplify 0 into 0 24.190 * [backup-simplify]: Simplify 1 into 1 24.190 * [backup-simplify]: Simplify (* 1 1) into 1 24.191 * [backup-simplify]: Simplify (* 1 1) into 1 24.191 * [backup-simplify]: Simplify (/ 1 1) into 1 24.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.202 * [backup-simplify]: Simplify 0 into 0 24.202 * [backup-simplify]: Simplify 1 into 1 24.203 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 24.203 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 24.203 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 24.203 * [taylor]: Taking taylor expansion of -1 in n 24.203 * [backup-simplify]: Simplify -1 into -1 24.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 24.203 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.203 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.203 * [taylor]: Taking taylor expansion of f in n 24.203 * [backup-simplify]: Simplify f into f 24.203 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.203 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.203 * [taylor]: Taking taylor expansion of n in n 24.203 * [backup-simplify]: Simplify 0 into 0 24.203 * [backup-simplify]: Simplify 1 into 1 24.204 * [backup-simplify]: Simplify (/ 1 1) into 1 24.204 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 24.204 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.204 * [taylor]: Taking taylor expansion of f in n 24.204 * [backup-simplify]: Simplify f into f 24.204 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.204 * [taylor]: Taking taylor expansion of n in n 24.204 * [backup-simplify]: Simplify 0 into 0 24.204 * [backup-simplify]: Simplify 1 into 1 24.205 * [backup-simplify]: Simplify (/ 1 1) into 1 24.205 * [backup-simplify]: Simplify (+ 0 1) into 1 24.206 * [backup-simplify]: Simplify (- 1) into -1 24.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.207 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.207 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 24.207 * [taylor]: Taking taylor expansion of -1 in f 24.207 * [backup-simplify]: Simplify -1 into -1 24.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 24.207 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.207 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.207 * [taylor]: Taking taylor expansion of f in f 24.207 * [backup-simplify]: Simplify 0 into 0 24.207 * [backup-simplify]: Simplify 1 into 1 24.207 * [backup-simplify]: Simplify (/ 1 1) into 1 24.207 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.207 * [taylor]: Taking taylor expansion of n in f 24.207 * [backup-simplify]: Simplify n into n 24.207 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.208 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 24.208 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.208 * [taylor]: Taking taylor expansion of f in f 24.208 * [backup-simplify]: Simplify 0 into 0 24.208 * [backup-simplify]: Simplify 1 into 1 24.208 * [backup-simplify]: Simplify (/ 1 1) into 1 24.208 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.208 * [taylor]: Taking taylor expansion of n in f 24.208 * [backup-simplify]: Simplify n into n 24.208 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.209 * [backup-simplify]: Simplify (+ 1 0) into 1 24.209 * [backup-simplify]: Simplify (+ 1 0) into 1 24.210 * [backup-simplify]: Simplify (/ 1 1) into 1 24.210 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 24.210 * [taylor]: Taking taylor expansion of -1 in f 24.210 * [backup-simplify]: Simplify -1 into -1 24.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 24.210 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.210 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.210 * [taylor]: Taking taylor expansion of f in f 24.210 * [backup-simplify]: Simplify 0 into 0 24.210 * [backup-simplify]: Simplify 1 into 1 24.210 * [backup-simplify]: Simplify (/ 1 1) into 1 24.210 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.210 * [taylor]: Taking taylor expansion of n in f 24.211 * [backup-simplify]: Simplify n into n 24.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.211 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 24.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.211 * [taylor]: Taking taylor expansion of f in f 24.211 * [backup-simplify]: Simplify 0 into 0 24.211 * [backup-simplify]: Simplify 1 into 1 24.211 * [backup-simplify]: Simplify (/ 1 1) into 1 24.211 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.211 * [taylor]: Taking taylor expansion of n in f 24.211 * [backup-simplify]: Simplify n into n 24.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.212 * [backup-simplify]: Simplify (+ 1 0) into 1 24.212 * [backup-simplify]: Simplify (+ 1 0) into 1 24.213 * [backup-simplify]: Simplify (/ 1 1) into 1 24.213 * [backup-simplify]: Simplify (* -1 1) into -1 24.213 * [taylor]: Taking taylor expansion of -1 in n 24.213 * [backup-simplify]: Simplify -1 into -1 24.213 * [backup-simplify]: Simplify -1 into -1 24.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.215 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.216 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 24.216 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 24.216 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 24.217 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 24.217 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 24.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.217 * [taylor]: Taking taylor expansion of 2 in n 24.217 * [backup-simplify]: Simplify 2 into 2 24.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.217 * [taylor]: Taking taylor expansion of n in n 24.217 * [backup-simplify]: Simplify 0 into 0 24.217 * [backup-simplify]: Simplify 1 into 1 24.218 * [backup-simplify]: Simplify (/ 1 1) into 1 24.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.219 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.220 * [backup-simplify]: Simplify (- 0) into 0 24.220 * [backup-simplify]: Simplify 0 into 0 24.220 * [backup-simplify]: Simplify 0 into 0 24.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.222 * [backup-simplify]: Simplify (+ 0 0) into 0 24.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.224 * [backup-simplify]: Simplify (- 0) into 0 24.224 * [backup-simplify]: Simplify (+ 0 0) into 0 24.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 24.227 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 24.228 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 24.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.228 * [taylor]: Taking taylor expansion of 2 in n 24.228 * [backup-simplify]: Simplify 2 into 2 24.228 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.228 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.228 * [taylor]: Taking taylor expansion of n in n 24.228 * [backup-simplify]: Simplify 0 into 0 24.228 * [backup-simplify]: Simplify 1 into 1 24.228 * [backup-simplify]: Simplify (* 1 1) into 1 24.229 * [backup-simplify]: Simplify (/ 1 1) into 1 24.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.234 * [backup-simplify]: Simplify (- 0) into 0 24.234 * [backup-simplify]: Simplify 0 into 0 24.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.237 * [backup-simplify]: Simplify (- 0) into 0 24.237 * [backup-simplify]: Simplify 0 into 0 24.237 * [backup-simplify]: Simplify 0 into 0 24.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.239 * [backup-simplify]: Simplify (+ 0 0) into 0 24.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.241 * [backup-simplify]: Simplify (- 0) into 0 24.241 * [backup-simplify]: Simplify (+ 0 0) into 0 24.244 * [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))) 24.246 * [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)))) 24.247 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 24.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.247 * [taylor]: Taking taylor expansion of 2 in n 24.247 * [backup-simplify]: Simplify 2 into 2 24.247 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.247 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.247 * [taylor]: Taking taylor expansion of n in n 24.247 * [backup-simplify]: Simplify 0 into 0 24.247 * [backup-simplify]: Simplify 1 into 1 24.247 * [backup-simplify]: Simplify (* 1 1) into 1 24.248 * [backup-simplify]: Simplify (* 1 1) into 1 24.248 * [backup-simplify]: Simplify (/ 1 1) into 1 24.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.259 * [backup-simplify]: Simplify (- 0) into 0 24.259 * [backup-simplify]: Simplify 0 into 0 24.259 * [backup-simplify]: Simplify -1 into -1 24.260 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 24.260 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 24.260 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 24.260 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.260 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.260 * [taylor]: Taking taylor expansion of f in n 24.260 * [backup-simplify]: Simplify f into f 24.261 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.261 * [taylor]: Taking taylor expansion of n in n 24.261 * [backup-simplify]: Simplify 0 into 0 24.261 * [backup-simplify]: Simplify 1 into 1 24.261 * [backup-simplify]: Simplify (/ 1 1) into 1 24.261 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 24.262 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.262 * [taylor]: Taking taylor expansion of n in n 24.262 * [backup-simplify]: Simplify 0 into 0 24.262 * [backup-simplify]: Simplify 1 into 1 24.263 * [backup-simplify]: Simplify (/ 1 1) into 1 24.263 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.263 * [taylor]: Taking taylor expansion of f in n 24.263 * [backup-simplify]: Simplify f into f 24.263 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.264 * [backup-simplify]: Simplify (+ 0 1) into 1 24.264 * [backup-simplify]: Simplify (+ 1 0) into 1 24.265 * [backup-simplify]: Simplify (/ 1 1) into 1 24.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.265 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.265 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.265 * [taylor]: Taking taylor expansion of f in f 24.265 * [backup-simplify]: Simplify 0 into 0 24.265 * [backup-simplify]: Simplify 1 into 1 24.265 * [backup-simplify]: Simplify (/ 1 1) into 1 24.265 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.265 * [taylor]: Taking taylor expansion of n in f 24.265 * [backup-simplify]: Simplify n into n 24.265 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.265 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.266 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.266 * [taylor]: Taking taylor expansion of n in f 24.266 * [backup-simplify]: Simplify n into n 24.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.266 * [taylor]: Taking taylor expansion of f in f 24.266 * [backup-simplify]: Simplify 0 into 0 24.266 * [backup-simplify]: Simplify 1 into 1 24.266 * [backup-simplify]: Simplify (/ 1 1) into 1 24.267 * [backup-simplify]: Simplify (+ 1 0) into 1 24.267 * [backup-simplify]: Simplify (- 1) into -1 24.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.268 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.268 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.268 * [taylor]: Taking taylor expansion of f in f 24.268 * [backup-simplify]: Simplify 0 into 0 24.268 * [backup-simplify]: Simplify 1 into 1 24.269 * [backup-simplify]: Simplify (/ 1 1) into 1 24.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.269 * [taylor]: Taking taylor expansion of n in f 24.269 * [backup-simplify]: Simplify n into n 24.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.269 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.269 * [taylor]: Taking taylor expansion of n in f 24.269 * [backup-simplify]: Simplify n into n 24.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.269 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.269 * [taylor]: Taking taylor expansion of f in f 24.269 * [backup-simplify]: Simplify 0 into 0 24.269 * [backup-simplify]: Simplify 1 into 1 24.270 * [backup-simplify]: Simplify (/ 1 1) into 1 24.270 * [backup-simplify]: Simplify (+ 1 0) into 1 24.271 * [backup-simplify]: Simplify (- 1) into -1 24.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.272 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.272 * [taylor]: Taking taylor expansion of -1 in n 24.272 * [backup-simplify]: Simplify -1 into -1 24.272 * [backup-simplify]: Simplify -1 into -1 24.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.273 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.274 * [backup-simplify]: Simplify (- 0) into 0 24.274 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 24.275 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 24.275 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 24.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.275 * [taylor]: Taking taylor expansion of 2 in n 24.275 * [backup-simplify]: Simplify 2 into 2 24.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.275 * [taylor]: Taking taylor expansion of n in n 24.275 * [backup-simplify]: Simplify 0 into 0 24.275 * [backup-simplify]: Simplify 1 into 1 24.275 * [backup-simplify]: Simplify (/ 1 1) into 1 24.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.278 * [backup-simplify]: Simplify (- 0) into 0 24.278 * [backup-simplify]: Simplify 0 into 0 24.278 * [backup-simplify]: Simplify 0 into 0 24.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.280 * [backup-simplify]: Simplify (+ 0 0) into 0 24.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.281 * [backup-simplify]: Simplify (- 0) into 0 24.282 * [backup-simplify]: Simplify (+ 0 0) into 0 24.284 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 24.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 24.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.284 * [taylor]: Taking taylor expansion of 2 in n 24.284 * [backup-simplify]: Simplify 2 into 2 24.284 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.284 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.284 * [taylor]: Taking taylor expansion of n in n 24.284 * [backup-simplify]: Simplify 0 into 0 24.284 * [backup-simplify]: Simplify 1 into 1 24.284 * [backup-simplify]: Simplify (* 1 1) into 1 24.285 * [backup-simplify]: Simplify (/ 1 1) into 1 24.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.290 * [backup-simplify]: Simplify (- 0) into 0 24.290 * [backup-simplify]: Simplify 0 into 0 24.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.293 * [backup-simplify]: Simplify (- 0) into 0 24.293 * [backup-simplify]: Simplify 0 into 0 24.293 * [backup-simplify]: Simplify 0 into 0 24.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.295 * [backup-simplify]: Simplify (+ 0 0) into 0 24.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.297 * [backup-simplify]: Simplify (- 0) into 0 24.297 * [backup-simplify]: Simplify (+ 0 0) into 0 24.301 * [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)))) 24.301 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 24.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.301 * [taylor]: Taking taylor expansion of 2 in n 24.301 * [backup-simplify]: Simplify 2 into 2 24.301 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.301 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.301 * [taylor]: Taking taylor expansion of n in n 24.301 * [backup-simplify]: Simplify 0 into 0 24.301 * [backup-simplify]: Simplify 1 into 1 24.301 * [backup-simplify]: Simplify (* 1 1) into 1 24.302 * [backup-simplify]: Simplify (* 1 1) into 1 24.302 * [backup-simplify]: Simplify (/ 1 1) into 1 24.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.313 * [backup-simplify]: Simplify (- 0) into 0 24.313 * [backup-simplify]: Simplify 0 into 0 24.313 * [backup-simplify]: Simplify -1 into -1 24.313 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 24.314 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 24.314 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 24.314 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 24.314 * [taylor]: Taking taylor expansion of -1 in n 24.314 * [backup-simplify]: Simplify -1 into -1 24.314 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 24.314 * [taylor]: Taking taylor expansion of (+ n f) in n 24.314 * [taylor]: Taking taylor expansion of n in n 24.314 * [backup-simplify]: Simplify 0 into 0 24.314 * [backup-simplify]: Simplify 1 into 1 24.314 * [taylor]: Taking taylor expansion of f in n 24.314 * [backup-simplify]: Simplify f into f 24.314 * [taylor]: Taking taylor expansion of (- f n) in n 24.314 * [taylor]: Taking taylor expansion of f in n 24.314 * [backup-simplify]: Simplify f into f 24.314 * [taylor]: Taking taylor expansion of n in n 24.314 * [backup-simplify]: Simplify 0 into 0 24.314 * [backup-simplify]: Simplify 1 into 1 24.315 * [backup-simplify]: Simplify (+ 0 f) into f 24.315 * [backup-simplify]: Simplify (- 0) into 0 24.315 * [backup-simplify]: Simplify (+ f 0) into f 24.315 * [backup-simplify]: Simplify (/ f f) into 1 24.315 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 24.315 * [taylor]: Taking taylor expansion of -1 in f 24.315 * [backup-simplify]: Simplify -1 into -1 24.315 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 24.315 * [taylor]: Taking taylor expansion of (+ n f) in f 24.315 * [taylor]: Taking taylor expansion of n in f 24.315 * [backup-simplify]: Simplify n into n 24.315 * [taylor]: Taking taylor expansion of f in f 24.315 * [backup-simplify]: Simplify 0 into 0 24.316 * [backup-simplify]: Simplify 1 into 1 24.316 * [taylor]: Taking taylor expansion of (- f n) in f 24.316 * [taylor]: Taking taylor expansion of f in f 24.316 * [backup-simplify]: Simplify 0 into 0 24.316 * [backup-simplify]: Simplify 1 into 1 24.316 * [taylor]: Taking taylor expansion of n in f 24.316 * [backup-simplify]: Simplify n into n 24.316 * [backup-simplify]: Simplify (+ n 0) into n 24.316 * [backup-simplify]: Simplify (- n) into (- n) 24.316 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 24.316 * [backup-simplify]: Simplify (/ n (- n)) into -1 24.316 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 24.316 * [taylor]: Taking taylor expansion of -1 in f 24.316 * [backup-simplify]: Simplify -1 into -1 24.316 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 24.316 * [taylor]: Taking taylor expansion of (+ n f) in f 24.316 * [taylor]: Taking taylor expansion of n in f 24.316 * [backup-simplify]: Simplify n into n 24.317 * [taylor]: Taking taylor expansion of f in f 24.317 * [backup-simplify]: Simplify 0 into 0 24.317 * [backup-simplify]: Simplify 1 into 1 24.317 * [taylor]: Taking taylor expansion of (- f n) in f 24.317 * [taylor]: Taking taylor expansion of f in f 24.317 * [backup-simplify]: Simplify 0 into 0 24.317 * [backup-simplify]: Simplify 1 into 1 24.317 * [taylor]: Taking taylor expansion of n in f 24.317 * [backup-simplify]: Simplify n into n 24.317 * [backup-simplify]: Simplify (+ n 0) into n 24.317 * [backup-simplify]: Simplify (- n) into (- n) 24.317 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 24.317 * [backup-simplify]: Simplify (/ n (- n)) into -1 24.318 * [backup-simplify]: Simplify (* -1 -1) into 1 24.318 * [taylor]: Taking taylor expansion of 1 in n 24.318 * [backup-simplify]: Simplify 1 into 1 24.318 * [backup-simplify]: Simplify 1 into 1 24.318 * [backup-simplify]: Simplify (+ 0 1) into 1 24.319 * [backup-simplify]: Simplify (- 0) into 0 24.321 * [backup-simplify]: Simplify (+ 1 0) into 1 24.322 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 24.323 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 24.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.323 * [taylor]: Taking taylor expansion of 2 in n 24.323 * [backup-simplify]: Simplify 2 into 2 24.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.323 * [taylor]: Taking taylor expansion of n in n 24.323 * [backup-simplify]: Simplify 0 into 0 24.323 * [backup-simplify]: Simplify 1 into 1 24.324 * [backup-simplify]: Simplify (/ 1 1) into 1 24.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 0 into 0 24.326 * [backup-simplify]: Simplify (+ 0 0) into 0 24.326 * [backup-simplify]: Simplify (- 0) into 0 24.327 * [backup-simplify]: Simplify (+ 0 0) into 0 24.328 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 24.330 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 24.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.330 * [taylor]: Taking taylor expansion of 2 in n 24.330 * [backup-simplify]: Simplify 2 into 2 24.330 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.330 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.330 * [taylor]: Taking taylor expansion of n in n 24.330 * [backup-simplify]: Simplify 0 into 0 24.330 * [backup-simplify]: Simplify 1 into 1 24.330 * [backup-simplify]: Simplify (* 1 1) into 1 24.331 * [backup-simplify]: Simplify (/ 1 1) into 1 24.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.336 * [backup-simplify]: Simplify 0 into 0 24.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.338 * [backup-simplify]: Simplify 0 into 0 24.338 * [backup-simplify]: Simplify 0 into 0 24.338 * [backup-simplify]: Simplify (+ 0 0) into 0 24.339 * [backup-simplify]: Simplify (- 0) into 0 24.339 * [backup-simplify]: Simplify (+ 0 0) into 0 24.341 * [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)))) 24.344 * [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))) 24.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.345 * [taylor]: Taking taylor expansion of 2 in n 24.345 * [backup-simplify]: Simplify 2 into 2 24.345 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.345 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.345 * [taylor]: Taking taylor expansion of n in n 24.345 * [backup-simplify]: Simplify 0 into 0 24.345 * [backup-simplify]: Simplify 1 into 1 24.345 * [backup-simplify]: Simplify (* 1 1) into 1 24.346 * [backup-simplify]: Simplify (* 1 1) into 1 24.346 * [backup-simplify]: Simplify (/ 1 1) into 1 24.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.354 * [backup-simplify]: Simplify 0 into 0 24.354 * [backup-simplify]: Simplify 1 into 1 24.354 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 24.354 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 24.354 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 24.354 * [taylor]: Taking taylor expansion of -1 in n 24.354 * [backup-simplify]: Simplify -1 into -1 24.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 24.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.354 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.354 * [taylor]: Taking taylor expansion of f in n 24.354 * [backup-simplify]: Simplify f into f 24.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.354 * [taylor]: Taking taylor expansion of n in n 24.354 * [backup-simplify]: Simplify 0 into 0 24.354 * [backup-simplify]: Simplify 1 into 1 24.355 * [backup-simplify]: Simplify (/ 1 1) into 1 24.355 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 24.355 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.355 * [taylor]: Taking taylor expansion of f in n 24.355 * [backup-simplify]: Simplify f into f 24.355 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.355 * [taylor]: Taking taylor expansion of n in n 24.355 * [backup-simplify]: Simplify 0 into 0 24.355 * [backup-simplify]: Simplify 1 into 1 24.355 * [backup-simplify]: Simplify (/ 1 1) into 1 24.356 * [backup-simplify]: Simplify (+ 0 1) into 1 24.356 * [backup-simplify]: Simplify (- 1) into -1 24.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.356 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.356 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 24.356 * [taylor]: Taking taylor expansion of -1 in f 24.356 * [backup-simplify]: Simplify -1 into -1 24.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 24.357 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.357 * [taylor]: Taking taylor expansion of f in f 24.357 * [backup-simplify]: Simplify 0 into 0 24.357 * [backup-simplify]: Simplify 1 into 1 24.357 * [backup-simplify]: Simplify (/ 1 1) into 1 24.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.357 * [taylor]: Taking taylor expansion of n in f 24.357 * [backup-simplify]: Simplify n into n 24.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.357 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 24.357 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.357 * [taylor]: Taking taylor expansion of f in f 24.357 * [backup-simplify]: Simplify 0 into 0 24.357 * [backup-simplify]: Simplify 1 into 1 24.357 * [backup-simplify]: Simplify (/ 1 1) into 1 24.357 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.357 * [taylor]: Taking taylor expansion of n in f 24.357 * [backup-simplify]: Simplify n into n 24.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.358 * [backup-simplify]: Simplify (+ 1 0) into 1 24.358 * [backup-simplify]: Simplify (+ 1 0) into 1 24.359 * [backup-simplify]: Simplify (/ 1 1) into 1 24.359 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 24.359 * [taylor]: Taking taylor expansion of -1 in f 24.359 * [backup-simplify]: Simplify -1 into -1 24.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 24.359 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.359 * [taylor]: Taking taylor expansion of f in f 24.359 * [backup-simplify]: Simplify 0 into 0 24.359 * [backup-simplify]: Simplify 1 into 1 24.359 * [backup-simplify]: Simplify (/ 1 1) into 1 24.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.359 * [taylor]: Taking taylor expansion of n in f 24.359 * [backup-simplify]: Simplify n into n 24.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.359 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 24.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.359 * [taylor]: Taking taylor expansion of f in f 24.359 * [backup-simplify]: Simplify 0 into 0 24.359 * [backup-simplify]: Simplify 1 into 1 24.360 * [backup-simplify]: Simplify (/ 1 1) into 1 24.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.360 * [taylor]: Taking taylor expansion of n in f 24.360 * [backup-simplify]: Simplify n into n 24.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.360 * [backup-simplify]: Simplify (+ 1 0) into 1 24.360 * [backup-simplify]: Simplify (+ 1 0) into 1 24.360 * [backup-simplify]: Simplify (/ 1 1) into 1 24.361 * [backup-simplify]: Simplify (* -1 1) into -1 24.361 * [taylor]: Taking taylor expansion of -1 in n 24.361 * [backup-simplify]: Simplify -1 into -1 24.361 * [backup-simplify]: Simplify -1 into -1 24.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.362 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.362 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 24.362 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 24.363 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 24.363 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 24.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 24.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.363 * [taylor]: Taking taylor expansion of 2 in n 24.363 * [backup-simplify]: Simplify 2 into 2 24.363 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.363 * [taylor]: Taking taylor expansion of n in n 24.363 * [backup-simplify]: Simplify 0 into 0 24.363 * [backup-simplify]: Simplify 1 into 1 24.363 * [backup-simplify]: Simplify (/ 1 1) into 1 24.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.364 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.365 * [backup-simplify]: Simplify (- 0) into 0 24.365 * [backup-simplify]: Simplify 0 into 0 24.365 * [backup-simplify]: Simplify 0 into 0 24.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.366 * [backup-simplify]: Simplify (+ 0 0) into 0 24.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.367 * [backup-simplify]: Simplify (- 0) into 0 24.367 * [backup-simplify]: Simplify (+ 0 0) into 0 24.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 24.369 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 24.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 24.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.369 * [taylor]: Taking taylor expansion of 2 in n 24.369 * [backup-simplify]: Simplify 2 into 2 24.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.369 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.369 * [taylor]: Taking taylor expansion of n in n 24.369 * [backup-simplify]: Simplify 0 into 0 24.369 * [backup-simplify]: Simplify 1 into 1 24.370 * [backup-simplify]: Simplify (* 1 1) into 1 24.370 * [backup-simplify]: Simplify (/ 1 1) into 1 24.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.373 * [backup-simplify]: Simplify (- 0) into 0 24.373 * [backup-simplify]: Simplify 0 into 0 24.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.375 * [backup-simplify]: Simplify (- 0) into 0 24.375 * [backup-simplify]: Simplify 0 into 0 24.375 * [backup-simplify]: Simplify 0 into 0 24.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.376 * [backup-simplify]: Simplify (+ 0 0) into 0 24.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.377 * [backup-simplify]: Simplify (- 0) into 0 24.377 * [backup-simplify]: Simplify (+ 0 0) into 0 24.379 * [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))) 24.380 * [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)))) 24.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 24.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.380 * [taylor]: Taking taylor expansion of 2 in n 24.380 * [backup-simplify]: Simplify 2 into 2 24.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.380 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.380 * [taylor]: Taking taylor expansion of n in n 24.380 * [backup-simplify]: Simplify 0 into 0 24.380 * [backup-simplify]: Simplify 1 into 1 24.381 * [backup-simplify]: Simplify (* 1 1) into 1 24.381 * [backup-simplify]: Simplify (* 1 1) into 1 24.381 * [backup-simplify]: Simplify (/ 1 1) into 1 24.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.388 * [backup-simplify]: Simplify (- 0) into 0 24.388 * [backup-simplify]: Simplify 0 into 0 24.388 * [backup-simplify]: Simplify -1 into -1 24.388 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 24.388 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 24.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 24.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.388 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.388 * [taylor]: Taking taylor expansion of f in n 24.388 * [backup-simplify]: Simplify f into f 24.388 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.388 * [taylor]: Taking taylor expansion of n in n 24.388 * [backup-simplify]: Simplify 0 into 0 24.388 * [backup-simplify]: Simplify 1 into 1 24.389 * [backup-simplify]: Simplify (/ 1 1) into 1 24.389 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 24.389 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.389 * [taylor]: Taking taylor expansion of n in n 24.389 * [backup-simplify]: Simplify 0 into 0 24.389 * [backup-simplify]: Simplify 1 into 1 24.389 * [backup-simplify]: Simplify (/ 1 1) into 1 24.389 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.389 * [taylor]: Taking taylor expansion of f in n 24.389 * [backup-simplify]: Simplify f into f 24.389 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.389 * [backup-simplify]: Simplify (+ 0 1) into 1 24.390 * [backup-simplify]: Simplify (+ 1 0) into 1 24.390 * [backup-simplify]: Simplify (/ 1 1) into 1 24.390 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.390 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.390 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.390 * [taylor]: Taking taylor expansion of f in f 24.390 * [backup-simplify]: Simplify 0 into 0 24.390 * [backup-simplify]: Simplify 1 into 1 24.390 * [backup-simplify]: Simplify (/ 1 1) into 1 24.390 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.390 * [taylor]: Taking taylor expansion of n in f 24.390 * [backup-simplify]: Simplify n into n 24.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.391 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.391 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.391 * [taylor]: Taking taylor expansion of n in f 24.391 * [backup-simplify]: Simplify n into n 24.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.391 * [taylor]: Taking taylor expansion of f in f 24.391 * [backup-simplify]: Simplify 0 into 0 24.391 * [backup-simplify]: Simplify 1 into 1 24.391 * [backup-simplify]: Simplify (/ 1 1) into 1 24.391 * [backup-simplify]: Simplify (+ 1 0) into 1 24.392 * [backup-simplify]: Simplify (- 1) into -1 24.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.392 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.392 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.392 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.392 * [taylor]: Taking taylor expansion of f in f 24.392 * [backup-simplify]: Simplify 0 into 0 24.392 * [backup-simplify]: Simplify 1 into 1 24.393 * [backup-simplify]: Simplify (/ 1 1) into 1 24.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.393 * [taylor]: Taking taylor expansion of n in f 24.393 * [backup-simplify]: Simplify n into n 24.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.393 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.393 * [taylor]: Taking taylor expansion of n in f 24.393 * [backup-simplify]: Simplify n into n 24.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.393 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.393 * [taylor]: Taking taylor expansion of f in f 24.393 * [backup-simplify]: Simplify 0 into 0 24.393 * [backup-simplify]: Simplify 1 into 1 24.393 * [backup-simplify]: Simplify (/ 1 1) into 1 24.393 * [backup-simplify]: Simplify (+ 1 0) into 1 24.394 * [backup-simplify]: Simplify (- 1) into -1 24.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.394 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.394 * [taylor]: Taking taylor expansion of -1 in n 24.394 * [backup-simplify]: Simplify -1 into -1 24.394 * [backup-simplify]: Simplify -1 into -1 24.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.395 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.396 * [backup-simplify]: Simplify (- 0) into 0 24.396 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 24.396 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 24.396 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 24.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.396 * [taylor]: Taking taylor expansion of 2 in n 24.396 * [backup-simplify]: Simplify 2 into 2 24.396 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.396 * [taylor]: Taking taylor expansion of n in n 24.396 * [backup-simplify]: Simplify 0 into 0 24.396 * [backup-simplify]: Simplify 1 into 1 24.397 * [backup-simplify]: Simplify (/ 1 1) into 1 24.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.398 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.398 * [backup-simplify]: Simplify (- 0) into 0 24.398 * [backup-simplify]: Simplify 0 into 0 24.398 * [backup-simplify]: Simplify 0 into 0 24.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.399 * [backup-simplify]: Simplify (+ 0 0) into 0 24.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.400 * [backup-simplify]: Simplify (- 0) into 0 24.401 * [backup-simplify]: Simplify (+ 0 0) into 0 24.402 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 24.402 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 24.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.402 * [taylor]: Taking taylor expansion of 2 in n 24.402 * [backup-simplify]: Simplify 2 into 2 24.402 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.402 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.402 * [taylor]: Taking taylor expansion of n in n 24.402 * [backup-simplify]: Simplify 0 into 0 24.402 * [backup-simplify]: Simplify 1 into 1 24.402 * [backup-simplify]: Simplify (* 1 1) into 1 24.402 * [backup-simplify]: Simplify (/ 1 1) into 1 24.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.406 * [backup-simplify]: Simplify (- 0) into 0 24.406 * [backup-simplify]: Simplify 0 into 0 24.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.407 * [backup-simplify]: Simplify (- 0) into 0 24.407 * [backup-simplify]: Simplify 0 into 0 24.407 * [backup-simplify]: Simplify 0 into 0 24.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.409 * [backup-simplify]: Simplify (+ 0 0) into 0 24.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.411 * [backup-simplify]: Simplify (- 0) into 0 24.411 * [backup-simplify]: Simplify (+ 0 0) into 0 24.414 * [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)))) 24.414 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 24.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.414 * [taylor]: Taking taylor expansion of 2 in n 24.415 * [backup-simplify]: Simplify 2 into 2 24.415 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.415 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.415 * [taylor]: Taking taylor expansion of n in n 24.415 * [backup-simplify]: Simplify 0 into 0 24.415 * [backup-simplify]: Simplify 1 into 1 24.415 * [backup-simplify]: Simplify (* 1 1) into 1 24.416 * [backup-simplify]: Simplify (* 1 1) into 1 24.416 * [backup-simplify]: Simplify (/ 1 1) into 1 24.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.427 * [backup-simplify]: Simplify (- 0) into 0 24.427 * [backup-simplify]: Simplify 0 into 0 24.427 * [backup-simplify]: Simplify -1 into -1 24.427 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 24.428 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 24.428 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 24.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 24.428 * [taylor]: Taking taylor expansion of -1 in n 24.428 * [backup-simplify]: Simplify -1 into -1 24.428 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 24.428 * [taylor]: Taking taylor expansion of (+ n f) in n 24.428 * [taylor]: Taking taylor expansion of n in n 24.428 * [backup-simplify]: Simplify 0 into 0 24.428 * [backup-simplify]: Simplify 1 into 1 24.428 * [taylor]: Taking taylor expansion of f in n 24.428 * [backup-simplify]: Simplify f into f 24.428 * [taylor]: Taking taylor expansion of (- f n) in n 24.428 * [taylor]: Taking taylor expansion of f in n 24.428 * [backup-simplify]: Simplify f into f 24.428 * [taylor]: Taking taylor expansion of n in n 24.428 * [backup-simplify]: Simplify 0 into 0 24.428 * [backup-simplify]: Simplify 1 into 1 24.428 * [backup-simplify]: Simplify (+ 0 f) into f 24.429 * [backup-simplify]: Simplify (- 0) into 0 24.429 * [backup-simplify]: Simplify (+ f 0) into f 24.429 * [backup-simplify]: Simplify (/ f f) into 1 24.429 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 24.429 * [taylor]: Taking taylor expansion of -1 in f 24.429 * [backup-simplify]: Simplify -1 into -1 24.429 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 24.429 * [taylor]: Taking taylor expansion of (+ n f) in f 24.429 * [taylor]: Taking taylor expansion of n in f 24.429 * [backup-simplify]: Simplify n into n 24.429 * [taylor]: Taking taylor expansion of f in f 24.429 * [backup-simplify]: Simplify 0 into 0 24.429 * [backup-simplify]: Simplify 1 into 1 24.429 * [taylor]: Taking taylor expansion of (- f n) in f 24.429 * [taylor]: Taking taylor expansion of f in f 24.429 * [backup-simplify]: Simplify 0 into 0 24.429 * [backup-simplify]: Simplify 1 into 1 24.429 * [taylor]: Taking taylor expansion of n in f 24.430 * [backup-simplify]: Simplify n into n 24.430 * [backup-simplify]: Simplify (+ n 0) into n 24.430 * [backup-simplify]: Simplify (- n) into (- n) 24.430 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 24.430 * [backup-simplify]: Simplify (/ n (- n)) into -1 24.430 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 24.430 * [taylor]: Taking taylor expansion of -1 in f 24.430 * [backup-simplify]: Simplify -1 into -1 24.430 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 24.430 * [taylor]: Taking taylor expansion of (+ n f) in f 24.430 * [taylor]: Taking taylor expansion of n in f 24.430 * [backup-simplify]: Simplify n into n 24.430 * [taylor]: Taking taylor expansion of f in f 24.430 * [backup-simplify]: Simplify 0 into 0 24.430 * [backup-simplify]: Simplify 1 into 1 24.430 * [taylor]: Taking taylor expansion of (- f n) in f 24.430 * [taylor]: Taking taylor expansion of f in f 24.430 * [backup-simplify]: Simplify 0 into 0 24.430 * [backup-simplify]: Simplify 1 into 1 24.430 * [taylor]: Taking taylor expansion of n in f 24.431 * [backup-simplify]: Simplify n into n 24.431 * [backup-simplify]: Simplify (+ n 0) into n 24.431 * [backup-simplify]: Simplify (- n) into (- n) 24.431 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 24.431 * [backup-simplify]: Simplify (/ n (- n)) into -1 24.432 * [backup-simplify]: Simplify (* -1 -1) into 1 24.432 * [taylor]: Taking taylor expansion of 1 in n 24.432 * [backup-simplify]: Simplify 1 into 1 24.432 * [backup-simplify]: Simplify 1 into 1 24.432 * [backup-simplify]: Simplify (+ 0 1) into 1 24.433 * [backup-simplify]: Simplify (- 0) into 0 24.433 * [backup-simplify]: Simplify (+ 1 0) into 1 24.434 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 24.434 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 24.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.434 * [taylor]: Taking taylor expansion of 2 in n 24.434 * [backup-simplify]: Simplify 2 into 2 24.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.435 * [taylor]: Taking taylor expansion of n in n 24.435 * [backup-simplify]: Simplify 0 into 0 24.435 * [backup-simplify]: Simplify 1 into 1 24.435 * [backup-simplify]: Simplify (/ 1 1) into 1 24.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.437 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.437 * [backup-simplify]: Simplify 0 into 0 24.437 * [backup-simplify]: Simplify 0 into 0 24.437 * [backup-simplify]: Simplify (+ 0 0) into 0 24.438 * [backup-simplify]: Simplify (- 0) into 0 24.438 * [backup-simplify]: Simplify (+ 0 0) into 0 24.439 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 24.441 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 24.441 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.441 * [taylor]: Taking taylor expansion of 2 in n 24.441 * [backup-simplify]: Simplify 2 into 2 24.441 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.441 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.441 * [taylor]: Taking taylor expansion of n in n 24.441 * [backup-simplify]: Simplify 0 into 0 24.441 * [backup-simplify]: Simplify 1 into 1 24.442 * [backup-simplify]: Simplify (* 1 1) into 1 24.442 * [backup-simplify]: Simplify (/ 1 1) into 1 24.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.449 * [backup-simplify]: Simplify 0 into 0 24.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.452 * [backup-simplify]: Simplify 0 into 0 24.452 * [backup-simplify]: Simplify 0 into 0 24.452 * [backup-simplify]: Simplify (+ 0 0) into 0 24.452 * [backup-simplify]: Simplify (- 0) into 0 24.453 * [backup-simplify]: Simplify (+ 0 0) into 0 24.455 * [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)))) 24.458 * [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))) 24.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.458 * [taylor]: Taking taylor expansion of 2 in n 24.458 * [backup-simplify]: Simplify 2 into 2 24.458 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.458 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.458 * [taylor]: Taking taylor expansion of n in n 24.458 * [backup-simplify]: Simplify 0 into 0 24.458 * [backup-simplify]: Simplify 1 into 1 24.459 * [backup-simplify]: Simplify (* 1 1) into 1 24.459 * [backup-simplify]: Simplify (* 1 1) into 1 24.460 * [backup-simplify]: Simplify (/ 1 1) into 1 24.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.471 * [backup-simplify]: Simplify 0 into 0 24.471 * [backup-simplify]: Simplify 1 into 1 24.471 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 24.472 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 24.472 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 24.472 * [taylor]: Taking taylor expansion of -1 in n 24.472 * [backup-simplify]: Simplify -1 into -1 24.472 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 24.472 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.472 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.472 * [taylor]: Taking taylor expansion of f in n 24.472 * [backup-simplify]: Simplify f into f 24.472 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.472 * [taylor]: Taking taylor expansion of n in n 24.472 * [backup-simplify]: Simplify 0 into 0 24.472 * [backup-simplify]: Simplify 1 into 1 24.472 * [backup-simplify]: Simplify (/ 1 1) into 1 24.472 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 24.472 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.473 * [taylor]: Taking taylor expansion of f in n 24.473 * [backup-simplify]: Simplify f into f 24.473 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.473 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.473 * [taylor]: Taking taylor expansion of n in n 24.473 * [backup-simplify]: Simplify 0 into 0 24.473 * [backup-simplify]: Simplify 1 into 1 24.473 * [backup-simplify]: Simplify (/ 1 1) into 1 24.474 * [backup-simplify]: Simplify (+ 0 1) into 1 24.474 * [backup-simplify]: Simplify (- 1) into -1 24.474 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.475 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.475 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 24.475 * [taylor]: Taking taylor expansion of -1 in f 24.475 * [backup-simplify]: Simplify -1 into -1 24.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 24.475 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.475 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.475 * [taylor]: Taking taylor expansion of f in f 24.475 * [backup-simplify]: Simplify 0 into 0 24.475 * [backup-simplify]: Simplify 1 into 1 24.476 * [backup-simplify]: Simplify (/ 1 1) into 1 24.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.476 * [taylor]: Taking taylor expansion of n in f 24.476 * [backup-simplify]: Simplify n into n 24.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.476 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 24.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.476 * [taylor]: Taking taylor expansion of f in f 24.476 * [backup-simplify]: Simplify 0 into 0 24.476 * [backup-simplify]: Simplify 1 into 1 24.476 * [backup-simplify]: Simplify (/ 1 1) into 1 24.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.476 * [taylor]: Taking taylor expansion of n in f 24.477 * [backup-simplify]: Simplify n into n 24.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.477 * [backup-simplify]: Simplify (+ 1 0) into 1 24.478 * [backup-simplify]: Simplify (+ 1 0) into 1 24.478 * [backup-simplify]: Simplify (/ 1 1) into 1 24.478 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 24.478 * [taylor]: Taking taylor expansion of -1 in f 24.478 * [backup-simplify]: Simplify -1 into -1 24.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 24.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.478 * [taylor]: Taking taylor expansion of f in f 24.478 * [backup-simplify]: Simplify 0 into 0 24.478 * [backup-simplify]: Simplify 1 into 1 24.479 * [backup-simplify]: Simplify (/ 1 1) into 1 24.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.479 * [taylor]: Taking taylor expansion of n in f 24.479 * [backup-simplify]: Simplify n into n 24.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.479 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 24.479 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.479 * [taylor]: Taking taylor expansion of f in f 24.479 * [backup-simplify]: Simplify 0 into 0 24.479 * [backup-simplify]: Simplify 1 into 1 24.479 * [backup-simplify]: Simplify (/ 1 1) into 1 24.479 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.479 * [taylor]: Taking taylor expansion of n in f 24.479 * [backup-simplify]: Simplify n into n 24.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.480 * [backup-simplify]: Simplify (+ 1 0) into 1 24.480 * [backup-simplify]: Simplify (+ 1 0) into 1 24.481 * [backup-simplify]: Simplify (/ 1 1) into 1 24.481 * [backup-simplify]: Simplify (* -1 1) into -1 24.481 * [taylor]: Taking taylor expansion of -1 in n 24.481 * [backup-simplify]: Simplify -1 into -1 24.482 * [backup-simplify]: Simplify -1 into -1 24.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.483 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.484 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 24.484 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 24.484 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 24.485 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 24.485 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 24.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.485 * [taylor]: Taking taylor expansion of 2 in n 24.485 * [backup-simplify]: Simplify 2 into 2 24.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.485 * [taylor]: Taking taylor expansion of n in n 24.485 * [backup-simplify]: Simplify 0 into 0 24.485 * [backup-simplify]: Simplify 1 into 1 24.486 * [backup-simplify]: Simplify (/ 1 1) into 1 24.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.487 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.488 * [backup-simplify]: Simplify (- 0) into 0 24.488 * [backup-simplify]: Simplify 0 into 0 24.488 * [backup-simplify]: Simplify 0 into 0 24.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.490 * [backup-simplify]: Simplify (+ 0 0) into 0 24.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.492 * [backup-simplify]: Simplify (- 0) into 0 24.492 * [backup-simplify]: Simplify (+ 0 0) into 0 24.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 24.495 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 24.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 24.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.496 * [taylor]: Taking taylor expansion of 2 in n 24.496 * [backup-simplify]: Simplify 2 into 2 24.496 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.496 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.496 * [taylor]: Taking taylor expansion of n in n 24.496 * [backup-simplify]: Simplify 0 into 0 24.496 * [backup-simplify]: Simplify 1 into 1 24.496 * [backup-simplify]: Simplify (* 1 1) into 1 24.496 * [backup-simplify]: Simplify (/ 1 1) into 1 24.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.500 * [backup-simplify]: Simplify (- 0) into 0 24.500 * [backup-simplify]: Simplify 0 into 0 24.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.501 * [backup-simplify]: Simplify (- 0) into 0 24.502 * [backup-simplify]: Simplify 0 into 0 24.502 * [backup-simplify]: Simplify 0 into 0 24.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.503 * [backup-simplify]: Simplify (+ 0 0) into 0 24.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.504 * [backup-simplify]: Simplify (- 0) into 0 24.504 * [backup-simplify]: Simplify (+ 0 0) into 0 24.506 * [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))) 24.507 * [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)))) 24.507 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 24.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.507 * [taylor]: Taking taylor expansion of 2 in n 24.507 * [backup-simplify]: Simplify 2 into 2 24.507 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.507 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.507 * [taylor]: Taking taylor expansion of n in n 24.507 * [backup-simplify]: Simplify 0 into 0 24.508 * [backup-simplify]: Simplify 1 into 1 24.508 * [backup-simplify]: Simplify (* 1 1) into 1 24.508 * [backup-simplify]: Simplify (* 1 1) into 1 24.508 * [backup-simplify]: Simplify (/ 1 1) into 1 24.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.515 * [backup-simplify]: Simplify (- 0) into 0 24.515 * [backup-simplify]: Simplify 0 into 0 24.515 * [backup-simplify]: Simplify -1 into -1 24.515 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 24.515 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 24.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 24.515 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 24.515 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.516 * [taylor]: Taking taylor expansion of f in n 24.516 * [backup-simplify]: Simplify f into f 24.516 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.516 * [taylor]: Taking taylor expansion of n in n 24.516 * [backup-simplify]: Simplify 0 into 0 24.516 * [backup-simplify]: Simplify 1 into 1 24.516 * [backup-simplify]: Simplify (/ 1 1) into 1 24.516 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 24.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.516 * [taylor]: Taking taylor expansion of n in n 24.516 * [backup-simplify]: Simplify 0 into 0 24.516 * [backup-simplify]: Simplify 1 into 1 24.516 * [backup-simplify]: Simplify (/ 1 1) into 1 24.516 * [taylor]: Taking taylor expansion of (/ 1 f) in n 24.516 * [taylor]: Taking taylor expansion of f in n 24.516 * [backup-simplify]: Simplify f into f 24.516 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 24.517 * [backup-simplify]: Simplify (+ 0 1) into 1 24.517 * [backup-simplify]: Simplify (+ 1 0) into 1 24.517 * [backup-simplify]: Simplify (/ 1 1) into 1 24.517 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.517 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.517 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.517 * [taylor]: Taking taylor expansion of f in f 24.517 * [backup-simplify]: Simplify 0 into 0 24.517 * [backup-simplify]: Simplify 1 into 1 24.518 * [backup-simplify]: Simplify (/ 1 1) into 1 24.518 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.518 * [taylor]: Taking taylor expansion of n in f 24.518 * [backup-simplify]: Simplify n into n 24.518 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.518 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.518 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.518 * [taylor]: Taking taylor expansion of n in f 24.518 * [backup-simplify]: Simplify n into n 24.518 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.518 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.518 * [taylor]: Taking taylor expansion of f in f 24.518 * [backup-simplify]: Simplify 0 into 0 24.518 * [backup-simplify]: Simplify 1 into 1 24.518 * [backup-simplify]: Simplify (/ 1 1) into 1 24.519 * [backup-simplify]: Simplify (+ 1 0) into 1 24.519 * [backup-simplify]: Simplify (- 1) into -1 24.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.520 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.520 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 24.520 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 24.520 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.520 * [taylor]: Taking taylor expansion of f in f 24.520 * [backup-simplify]: Simplify 0 into 0 24.520 * [backup-simplify]: Simplify 1 into 1 24.520 * [backup-simplify]: Simplify (/ 1 1) into 1 24.520 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.520 * [taylor]: Taking taylor expansion of n in f 24.520 * [backup-simplify]: Simplify n into n 24.520 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.520 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 24.520 * [taylor]: Taking taylor expansion of (/ 1 n) in f 24.520 * [taylor]: Taking taylor expansion of n in f 24.520 * [backup-simplify]: Simplify n into n 24.520 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.520 * [taylor]: Taking taylor expansion of (/ 1 f) in f 24.520 * [taylor]: Taking taylor expansion of f in f 24.520 * [backup-simplify]: Simplify 0 into 0 24.520 * [backup-simplify]: Simplify 1 into 1 24.521 * [backup-simplify]: Simplify (/ 1 1) into 1 24.521 * [backup-simplify]: Simplify (+ 1 0) into 1 24.521 * [backup-simplify]: Simplify (- 1) into -1 24.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.522 * [backup-simplify]: Simplify (/ 1 -1) into -1 24.522 * [taylor]: Taking taylor expansion of -1 in n 24.522 * [backup-simplify]: Simplify -1 into -1 24.522 * [backup-simplify]: Simplify -1 into -1 24.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.523 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 24.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.523 * [backup-simplify]: Simplify (- 0) into 0 24.523 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 24.524 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 24.524 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 24.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 24.524 * [taylor]: Taking taylor expansion of 2 in n 24.524 * [backup-simplify]: Simplify 2 into 2 24.524 * [taylor]: Taking taylor expansion of (/ 1 n) in n 24.524 * [taylor]: Taking taylor expansion of n in n 24.524 * [backup-simplify]: Simplify 0 into 0 24.524 * [backup-simplify]: Simplify 1 into 1 24.524 * [backup-simplify]: Simplify (/ 1 1) into 1 24.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 24.525 * [backup-simplify]: Simplify (- 0) into 0 24.525 * [backup-simplify]: Simplify 0 into 0 24.525 * [backup-simplify]: Simplify 0 into 0 24.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.527 * [backup-simplify]: Simplify (+ 0 0) into 0 24.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 24.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.528 * [backup-simplify]: Simplify (- 0) into 0 24.528 * [backup-simplify]: Simplify (+ 0 0) into 0 24.529 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 24.529 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 24.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 24.529 * [taylor]: Taking taylor expansion of 2 in n 24.529 * [backup-simplify]: Simplify 2 into 2 24.529 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 24.529 * [taylor]: Taking taylor expansion of (pow n 2) in n 24.529 * [taylor]: Taking taylor expansion of n in n 24.529 * [backup-simplify]: Simplify 0 into 0 24.529 * [backup-simplify]: Simplify 1 into 1 24.530 * [backup-simplify]: Simplify (* 1 1) into 1 24.530 * [backup-simplify]: Simplify (/ 1 1) into 1 24.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.535 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.535 * [backup-simplify]: Simplify (- 0) into 0 24.535 * [backup-simplify]: Simplify 0 into 0 24.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 24.538 * [backup-simplify]: Simplify (- 0) into 0 24.538 * [backup-simplify]: Simplify 0 into 0 24.538 * [backup-simplify]: Simplify 0 into 0 24.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.540 * [backup-simplify]: Simplify (+ 0 0) into 0 24.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 24.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.542 * [backup-simplify]: Simplify (- 0) into 0 24.542 * [backup-simplify]: Simplify (+ 0 0) into 0 24.545 * [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)))) 24.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 24.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 24.545 * [taylor]: Taking taylor expansion of 2 in n 24.546 * [backup-simplify]: Simplify 2 into 2 24.546 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 24.546 * [taylor]: Taking taylor expansion of (pow n 3) in n 24.546 * [taylor]: Taking taylor expansion of n in n 24.546 * [backup-simplify]: Simplify 0 into 0 24.546 * [backup-simplify]: Simplify 1 into 1 24.546 * [backup-simplify]: Simplify (* 1 1) into 1 24.546 * [backup-simplify]: Simplify (* 1 1) into 1 24.547 * [backup-simplify]: Simplify (/ 1 1) into 1 24.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.557 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.557 * [backup-simplify]: Simplify (- 0) into 0 24.558 * [backup-simplify]: Simplify 0 into 0 24.558 * [backup-simplify]: Simplify -1 into -1 24.558 * * * [progress]: simplifying candidates 24.558 * * * * [progress]: [ 1 / 318 ] simplifiying candidate #real (real->posit16 (expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))))))> 24.558 * * * * [progress]: [ 2 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 3 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 4 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 5 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 6 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 7 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 8 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 9 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 10 / 318 ] simplifiying candidate # 24.558 * * * * [progress]: [ 11 / 318 ] simplifiying candidate # 24.559 * * * * [progress]: [ 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[progress]: [ 311 / 318 ] simplifiying candidate # 24.582 * * * * [progress]: [ 312 / 318 ] simplifiying candidate # 24.582 * * * * [progress]: [ 313 / 318 ] simplifiying candidate # 24.582 * * * * [progress]: [ 314 / 318 ] simplifiying candidate # 24.582 * * * * [progress]: [ 315 / 318 ] simplifiying candidate # 24.582 * * * * [progress]: [ 316 / 318 ] simplifiying candidate # 24.582 * * * * [progress]: [ 317 / 318 ] simplifiying candidate # 24.583 * * * * [progress]: [ 318 / 318 ] simplifiying candidate # 24.590 * [simplify]: Simplifying: (real->posit16 (expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))) (exp (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))))) (expm1 (expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))) (log1p (expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) 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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)) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1 -1 -1 24.594 * * [simplify]: iteration 0: 153 enodes 24.854 * * [simplify]: iteration 1: 342 enodes 25.303 * * [simplify]: iteration 2: 726 enodes 26.283 * * [simplify]: iteration 3: 2316 enodes 29.368 * * [simplify]: iteration complete: 5002 enodes 29.368 * * [simplify]: Extracting #0: cost 99 inf + 0 29.371 * * [simplify]: Extracting #1: cost 605 inf + 74 29.379 * * [simplify]: Extracting #2: cost 1024 inf + 1041 29.401 * * [simplify]: Extracting #3: cost 935 inf + 49324 29.455 * * [simplify]: Extracting #4: cost 253 inf + 212319 29.523 * * [simplify]: Extracting #5: cost 56 inf + 260118 29.579 * * [simplify]: Extracting #6: cost 11 inf + 268408 29.634 * * [simplify]: Extracting #7: cost 0 inf + 271190 29.713 * [simplify]: Simplified to: (real->posit16 (expm1 (/ (- (- f) n) (- f n)))) (exp (/ (- (- f) n) (- f n))) (expm1 (expm1 (/ (- (- f) n) (- f n)))) (/ (- (- f) n) (- f n)) (log (expm1 (/ (- (- f) n) (- f n)))) (exp (expm1 (/ (- (- f) n) (- f n)))) (* (cbrt (expm1 (/ (- (- f) n) (- f n)))) (cbrt (expm1 (/ (- (- f) n) (- f n))))) (cbrt (expm1 (/ (- (- f) n) (- f n)))) (* (expm1 (/ (- (- f) n) (- f n))) (* (expm1 (/ (- 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(cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (- (/ (cbrt (+ n f)) (cbrt (- f n)))) (* (/ (cbrt (+ n f)) (sqrt (- f n))) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (- (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n)))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (- 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)) (/ (+ n f) (- 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) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (- f) n)) (/ (- f n) (- (- f) n)) (/ (- (- f) n) (- (* (* f f) f) (* n (* n n)))) (- (/ 1 (- f n))) (fma (* (- f n) n) n (* (- f n) (* (- f n) f))) (* (- f n) (- f n)) (+ -1 E) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 1 -1 -1 29.790 * * * [progress]: adding candidates to table 33.333 * [progress]: [Phase 3 of 3] Extracting. 33.333 * * [regime]: Finding splitpoints for: (# # # #) 33.338 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 33.339 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 33.456 * * * * [regimes]: Trying to branch on n from (# # # #) 33.621 * * * * [regimes]: Trying to branch on f from (# # # #) 33.809 * * * [regime]: Found split indices: #