0.609 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.181 * * * [progress]: [2/2] Setting up program. 0.189 * [progress]: [Phase 2 of 3] Improving. 0.190 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.193 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.225 * * [simplify]: iteration 0: 6 enodes 0.237 * * [simplify]: iteration 1: 13 enodes 0.243 * * [simplify]: iteration 2: 16 enodes 0.250 * * [simplify]: iteration 3: 20 enodes 0.254 * * [simplify]: iteration 4: 24 enodes 0.260 * * [simplify]: iteration 5: 29 enodes 0.265 * * [simplify]: iteration 6: 31 enodes 0.273 * * [simplify]: iteration complete: 31 enodes 0.274 * * [simplify]: Extracting #0: cost 1 inf + 0 0.274 * * [simplify]: Extracting #1: cost 9 inf + 0 0.274 * * [simplify]: Extracting #2: cost 14 inf + 0 0.275 * * [simplify]: Extracting #3: cost 11 inf + 43 0.275 * * [simplify]: Extracting #4: cost 2 inf + 860 0.275 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.276 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.279 * * [progress]: iteration 1 / 4 0.279 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.285 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.352 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.403 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.411 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.411 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.412 * [taylor]: Taking taylor expansion of -1 in n 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.412 * [taylor]: Taking taylor expansion of (+ n f) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of f in n 0.412 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of (- f n) in n 0.413 * [taylor]: Taking taylor expansion of f in n 0.413 * [backup-simplify]: Simplify f into f 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ 0 f) into f 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ f 0) into f 0.414 * [backup-simplify]: Simplify (/ f f) into 1 0.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.414 * [taylor]: Taking taylor expansion of -1 in f 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.414 * [taylor]: Taking taylor expansion of (+ n f) in f 0.414 * [taylor]: Taking taylor expansion of n in f 0.414 * [backup-simplify]: Simplify n into n 0.414 * [taylor]: Taking taylor expansion of f in f 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (- f n) in f 0.414 * [taylor]: Taking taylor expansion of f in f 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of n in f 0.414 * [backup-simplify]: Simplify n into n 0.414 * [backup-simplify]: Simplify (+ n 0) into n 0.414 * [backup-simplify]: Simplify (- n) into (- n) 0.414 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.414 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.414 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.414 * [taylor]: Taking taylor expansion of -1 in f 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.414 * [taylor]: Taking taylor expansion of (+ n f) in f 0.414 * [taylor]: Taking taylor expansion of n in f 0.414 * [backup-simplify]: Simplify n into n 0.414 * [taylor]: Taking taylor expansion of f in f 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of (- f n) in f 0.414 * [taylor]: Taking taylor expansion of f in f 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [taylor]: Taking taylor expansion of n in f 0.414 * [backup-simplify]: Simplify n into n 0.414 * [backup-simplify]: Simplify (+ n 0) into n 0.414 * [backup-simplify]: Simplify (- n) into (- n) 0.414 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.414 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.415 * [backup-simplify]: Simplify (* -1 -1) into 1 0.415 * [taylor]: Taking taylor expansion of 1 in n 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.417 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.417 * [taylor]: Taking taylor expansion of 2 in n 0.417 * [backup-simplify]: Simplify 2 into 2 0.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.417 * [taylor]: Taking taylor expansion of n in n 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.421 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.421 * [taylor]: Taking taylor expansion of 2 in n 0.421 * [backup-simplify]: Simplify 2 into 2 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.421 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [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)))) 0.427 * [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))) 0.427 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.427 * [taylor]: Taking taylor expansion of 2 in n 0.428 * [backup-simplify]: Simplify 2 into 2 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.428 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.436 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.436 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.436 * [taylor]: Taking taylor expansion of -1 in n 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.436 * [taylor]: Taking taylor expansion of f in n 0.436 * [backup-simplify]: Simplify f into f 0.436 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.436 * [taylor]: Taking taylor expansion of n in n 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.436 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.436 * [taylor]: Taking taylor expansion of f in n 0.436 * [backup-simplify]: Simplify f into f 0.436 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.436 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.436 * [taylor]: Taking taylor expansion of n in n 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (- 1) into -1 0.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.438 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.438 * [taylor]: Taking taylor expansion of -1 in f 0.438 * [backup-simplify]: Simplify -1 into -1 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.438 * [taylor]: Taking taylor expansion of f in f 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.438 * [taylor]: Taking taylor expansion of n in f 0.438 * [backup-simplify]: Simplify n into n 0.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.438 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.438 * [taylor]: Taking taylor expansion of f in f 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.439 * [taylor]: Taking taylor expansion of n in f 0.439 * [backup-simplify]: Simplify n into n 0.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.440 * [taylor]: Taking taylor expansion of -1 in f 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.440 * [taylor]: Taking taylor expansion of f in f 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.440 * [taylor]: Taking taylor expansion of n in f 0.440 * [backup-simplify]: Simplify n into n 0.440 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.440 * [taylor]: Taking taylor expansion of f in f 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.441 * [taylor]: Taking taylor expansion of n in f 0.441 * [backup-simplify]: Simplify n into n 0.441 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (* -1 1) into -1 0.442 * [taylor]: Taking taylor expansion of -1 in n 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [backup-simplify]: Simplify -1 into -1 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.443 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.443 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.444 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.444 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.444 * [taylor]: Taking taylor expansion of 2 in n 0.444 * [backup-simplify]: Simplify 2 into 2 0.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.458 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.458 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.458 * [taylor]: Taking taylor expansion of 2 in n 0.458 * [backup-simplify]: Simplify 2 into 2 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.459 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [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))) 0.472 * [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)))) 0.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.472 * [taylor]: Taking taylor expansion of 2 in n 0.472 * [backup-simplify]: Simplify 2 into 2 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.473 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [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 0.476 * [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 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify -1 into -1 0.483 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.483 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.483 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.483 * [taylor]: Taking taylor expansion of f in n 0.483 * [backup-simplify]: Simplify f into f 0.484 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.485 * [taylor]: Taking taylor expansion of f in n 0.485 * [backup-simplify]: Simplify f into f 0.485 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.485 * [backup-simplify]: Simplify (+ 0 1) 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 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 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 0.487 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 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 * [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 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (- 1) into -1 0.488 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.489 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.489 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.489 * [taylor]: Taking taylor expansion of f in f 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.490 * [taylor]: Taking taylor expansion of n in f 0.490 * [backup-simplify]: Simplify n into n 0.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.490 * [taylor]: Taking taylor expansion of n in f 0.490 * [backup-simplify]: Simplify n into n 0.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.490 * [taylor]: Taking taylor expansion of f in f 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.491 * [backup-simplify]: Simplify (- 1) into -1 0.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.492 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.492 * [taylor]: Taking taylor expansion of -1 in n 0.492 * [backup-simplify]: Simplify -1 into -1 0.492 * [backup-simplify]: Simplify -1 into -1 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.495 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.495 * [taylor]: Taking taylor expansion of 2 in n 0.495 * [backup-simplify]: Simplify 2 into 2 0.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.503 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.503 * [taylor]: Taking taylor expansion of 2 in n 0.503 * [backup-simplify]: Simplify 2 into 2 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.503 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [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)))) 0.518 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.518 * [taylor]: Taking taylor expansion of 2 in n 0.518 * [backup-simplify]: Simplify 2 into 2 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.518 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.518 * [taylor]: Taking taylor expansion of n in n 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify -1 into -1 0.531 * * * [progress]: simplifying candidates 0.531 * * * * [progress]: [ 1 / 99 ] simplifiying candidate # 0.531 * * * * [progress]: [ 2 / 99 ] simplifiying candidate # 0.531 * * * * [progress]: [ 3 / 99 ] simplifiying candidate # 0.531 * * * * [progress]: [ 4 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 5 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 6 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 7 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 8 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 9 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 10 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 11 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 12 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 13 / 99 ] simplifiying candidate # 0.532 * * * * [progress]: [ 14 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 15 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 16 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 17 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 18 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 19 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 20 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 21 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 22 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 23 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 24 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 25 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 26 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 27 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 28 / 99 ] simplifiying candidate # 0.533 * * * * [progress]: [ 29 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 30 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 31 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 32 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 33 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 34 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 35 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 36 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 37 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 38 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 39 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 40 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 41 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 42 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 43 / 99 ] simplifiying candidate # 0.534 * * * * [progress]: [ 44 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 45 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 46 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 47 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 48 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 49 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 50 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 51 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 52 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 53 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 54 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 55 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 56 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 57 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 58 / 99 ] simplifiying candidate # 0.535 * * * * [progress]: [ 59 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 60 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 61 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 62 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 63 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 64 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 65 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 66 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 67 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 68 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 69 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 70 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 71 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 72 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 73 / 99 ] simplifiying candidate # 0.536 * * * * [progress]: [ 74 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 75 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 76 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 77 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 78 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 79 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 80 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 81 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 82 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 83 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 84 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 85 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 86 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 87 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 88 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 89 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 90 / 99 ] simplifiying candidate # 0.537 * * * * [progress]: [ 91 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 92 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 93 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 94 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 95 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 96 / 99 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.538 * * * * [progress]: [ 97 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 98 / 99 ] simplifiying candidate # 0.538 * * * * [progress]: [ 99 / 99 ] simplifiying candidate # 0.540 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.543 * * [simplify]: iteration 0: 134 enodes 0.582 * * [simplify]: iteration 1: 312 enodes 0.681 * * [simplify]: iteration 2: 699 enodes 0.993 * * [simplify]: iteration 3: 2205 enodes 1.975 * * [simplify]: iteration complete: 5001 enodes 1.975 * * [simplify]: Extracting #0: cost 87 inf + 0 1.978 * * [simplify]: Extracting #1: cost 447 inf + 3 1.985 * * [simplify]: Extracting #2: cost 1057 inf + 7951 2.030 * * [simplify]: Extracting #3: cost 983 inf + 102203 2.113 * * [simplify]: Extracting #4: cost 354 inf + 243278 2.212 * * [simplify]: Extracting #5: cost 80 inf + 304677 2.281 * * [simplify]: Extracting #6: cost 45 inf + 315781 2.399 * * [simplify]: Extracting #7: cost 9 inf + 322557 2.479 * * [simplify]: Extracting #8: cost 0 inf + 324834 2.555 * [simplify]: Simplified to: (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (* (cbrt (/ (- (+ n f)) (- f n))) (cbrt (/ (- (+ n f)) (- f n)))) (cbrt (/ (- (+ n f)) (- f n))) (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (sqrt (/ (- (+ n f)) (- f n))) (+ n f) (- (- f n)) 0 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ n f))) (cbrt (- f n))) (/ (cbrt (- (+ n f))) (cbrt (- f n)))) (/ (cbrt (- (+ n f))) (cbrt (- f n))) (* (/ (cbrt (- (+ n f))) (sqrt (- f n))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (sqrt (- f n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (+ (sqrt n) (sqrt f))) (/ (cbrt (- (+ n f))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))) (/ (cbrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ n f))) (cbrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (/ (sqrt (- (+ n f))) (sqrt (- f n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (sqrt (- (+ n f))) (+ (sqrt n) (sqrt f))) (/ (sqrt (- (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (- (+ n f))) (/ (sqrt (- (+ n f))) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n))))) (/ (cbrt (+ n f)) (cbrt (- f n))) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n)))) (/ (cbrt (+ n f)) (sqrt (- f n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (- (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f)))) (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt (+ n f)) (- f n)) (/ (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (cbrt (- f n))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ (sqrt (+ n f)) (sqrt (- f n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (- (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f)))) (/ (sqrt (+ n f)) (- (sqrt f) (sqrt n))) (- (sqrt (+ n f))) (/ (sqrt (+ n f)) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt n) (sqrt f))) (/ (+ n f) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt (- f n))) (- (/ (cbrt (+ n f)) (sqrt (- f n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (+ (sqrt n) (sqrt f))) (- (/ (cbrt (+ n f)) (- (sqrt f) (sqrt n)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (- (/ (cbrt (+ n f)) (- f n))) (/ (/ (sqrt (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (sqrt (+ n f)) (+ (sqrt n) (sqrt f))) (/ (- (sqrt (+ n f))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (- (/ (sqrt (+ n f)) (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (- (+ n f)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (+ (sqrt n) (sqrt f))) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ n f)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ n f))) (/ (+ n f) (- f n)) (/ (/ (- (+ n f)) (cbrt (- f n))) (cbrt (- f n))) (- (/ (+ n f) (sqrt (- f n)))) (- (+ n f)) (/ (- (+ n f)) (+ (sqrt n) (sqrt f))) (- (+ n f)) (/ (- f n) (cbrt (- (+ n f)))) (/ (- f n) (sqrt (- (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (cbrt (+ n f))) (/ (- f n) (sqrt (+ n f))) (/ (- f n) (+ n f)) (/ (- f n) (+ n f)) (/ (- f n) (- (cbrt (+ n f)))) (/ (- f n) (- (sqrt (+ n f)))) (/ (- f n) (- (+ n f))) (/ (- f n) (- (+ n f))) (/ (- (+ n f)) (- (* (* f f) f) (* n (* n n)))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) (real->posit16 (/ (- (+ n f)) (- f n))) 1 -1 -1 2.562 * * * [progress]: adding candidates to table 2.859 * * [progress]: iteration 2 / 4 2.859 * * * [progress]: picking best candidate 2.864 * * * * [pick]: Picked # 2.864 * * * [progress]: localizing error 2.889 * * * [progress]: generating rewritten candidates 2.889 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.921 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 2.933 * * * [progress]: generating series expansions 2.934 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.934 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 2.934 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 2.934 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 2.934 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 2.934 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.934 * [taylor]: Taking taylor expansion of n in n 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.934 * [taylor]: Taking taylor expansion of f in n 2.934 * [backup-simplify]: Simplify f into f 2.934 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 2.934 * [taylor]: Taking taylor expansion of (- f n) in n 2.934 * [taylor]: Taking taylor expansion of f in n 2.934 * [backup-simplify]: Simplify f into f 2.934 * [taylor]: Taking taylor expansion of n in n 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ f 0) into f 2.935 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.935 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 2.936 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 2.936 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.936 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 2.936 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 2.936 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 2.936 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.936 * [taylor]: Taking taylor expansion of n in f 2.936 * [backup-simplify]: Simplify n into n 2.936 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.936 * [taylor]: Taking taylor expansion of f in f 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.936 * [taylor]: Taking taylor expansion of (- f n) in f 2.936 * [taylor]: Taking taylor expansion of f in f 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [taylor]: Taking taylor expansion of n in f 2.936 * [backup-simplify]: Simplify n into n 2.936 * [backup-simplify]: Simplify (- n) into (- n) 2.936 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.936 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.936 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 2.936 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.937 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.937 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 2.937 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 2.937 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.937 * [taylor]: Taking taylor expansion of n in f 2.937 * [backup-simplify]: Simplify n into n 2.937 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.937 * [taylor]: Taking taylor expansion of f in f 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 2.937 * [taylor]: Taking taylor expansion of (- f n) in f 2.937 * [taylor]: Taking taylor expansion of f in f 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of n in f 2.937 * [backup-simplify]: Simplify n into n 2.937 * [backup-simplify]: Simplify (- n) into (- n) 2.937 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.937 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.937 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 2.937 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 2.937 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 2.938 * [taylor]: Taking taylor expansion of 1 in n 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.938 * [backup-simplify]: Simplify (+ 0 0) into 0 2.939 * [backup-simplify]: Simplify (- 0) into 0 2.939 * [backup-simplify]: Simplify (+ 1 0) into 1 2.939 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 2.939 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 2.939 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.939 * [taylor]: Taking taylor expansion of 2 in n 2.939 * [backup-simplify]: Simplify 2 into 2 2.939 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.939 * [taylor]: Taking taylor expansion of n in n 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 2.942 * [backup-simplify]: Simplify (* 1 1) into 1 2.943 * [backup-simplify]: Simplify (- 1) into -1 2.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.944 * [backup-simplify]: Simplify (- 0) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 2.945 * [backup-simplify]: Simplify (- (/ -1 (pow n 2)) (+ (* 1 (/ 1 (pow n 2))) (* (* 2 (/ 1 n)) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 2))) 2.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.945 * [taylor]: Taking taylor expansion of 2 in n 2.945 * [backup-simplify]: Simplify 2 into 2 2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.945 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.945 * [taylor]: Taking taylor expansion of n in n 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (* 1 1) into 1 2.946 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.957 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ 0 (pow n 2))) (* (* 2 (/ 1 n)) (/ 1 (pow n 2))) (* (* 2 (/ 1 (pow n 2))) (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 (pow n 3))) 2.957 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.957 * [taylor]: Taking taylor expansion of 2 in n 2.957 * [backup-simplify]: Simplify 2 into 2 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.957 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.957 * [taylor]: Taking taylor expansion of n in n 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (- (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) 2.967 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 2.967 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 2.967 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 2.967 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.967 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.967 * [taylor]: Taking taylor expansion of n in n 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (* 1 1) into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 2.967 * [taylor]: Taking taylor expansion of (pow f 2) in n 2.968 * [taylor]: Taking taylor expansion of f in n 2.968 * [backup-simplify]: Simplify f into f 2.968 * [backup-simplify]: Simplify (* f f) into (pow f 2) 2.968 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 2.968 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 2.968 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.968 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.968 * [taylor]: Taking taylor expansion of f in n 2.968 * [backup-simplify]: Simplify f into f 2.968 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.968 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.968 * [taylor]: Taking taylor expansion of n in n 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [backup-simplify]: Simplify (- 1) into -1 2.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.969 * [backup-simplify]: Simplify (+ 1 0) into 1 2.969 * [backup-simplify]: Simplify (* -1 -1) into 1 2.969 * [backup-simplify]: Simplify (/ 1 1) into 1 2.969 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.969 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.969 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.969 * [taylor]: Taking taylor expansion of n in f 2.969 * [backup-simplify]: Simplify n into n 2.969 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.969 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.969 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.969 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.970 * [taylor]: Taking taylor expansion of f in f 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.970 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.970 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.970 * [taylor]: Taking taylor expansion of f in f 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.970 * [taylor]: Taking taylor expansion of n in f 2.970 * [backup-simplify]: Simplify n into n 2.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.971 * [backup-simplify]: Simplify (+ 1 0) into 1 2.971 * [backup-simplify]: Simplify (- 1) into -1 2.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.972 * [backup-simplify]: Simplify (/ -1 1) into -1 2.972 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 2.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 2.972 * [taylor]: Taking taylor expansion of (pow n 2) in f 2.972 * [taylor]: Taking taylor expansion of n in f 2.972 * [backup-simplify]: Simplify n into n 2.972 * [backup-simplify]: Simplify (* n n) into (pow n 2) 2.972 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 2.972 * [taylor]: Taking taylor expansion of (pow f 2) in f 2.972 * [taylor]: Taking taylor expansion of f in f 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 2.973 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.973 * [taylor]: Taking taylor expansion of f in f 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.973 * [taylor]: Taking taylor expansion of n in f 2.973 * [backup-simplify]: Simplify n into n 2.973 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.973 * [backup-simplify]: Simplify (+ 1 0) into 1 2.974 * [backup-simplify]: Simplify (- 1) into -1 2.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ -1 1) into -1 2.974 * [taylor]: Taking taylor expansion of -1 in n 2.974 * [backup-simplify]: Simplify -1 into -1 2.975 * [backup-simplify]: Simplify -1 into -1 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.979 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.979 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 2.980 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.980 * [taylor]: Taking taylor expansion of 2 in n 2.980 * [backup-simplify]: Simplify 2 into 2 2.980 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (- 0) into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.983 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 2.985 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.985 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.985 * [taylor]: Taking taylor expansion of 2 in n 2.985 * [backup-simplify]: Simplify 2 into 2 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.985 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.985 * [taylor]: Taking taylor expansion of n in n 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.988 * [backup-simplify]: Simplify (- 0) into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.989 * [backup-simplify]: Simplify (- 0) into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (- 0) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.992 * [backup-simplify]: Simplify (- 0) into 0 2.992 * [backup-simplify]: Simplify (+ 0 0) into 0 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.994 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.994 * [taylor]: Taking taylor expansion of 2 in n 2.994 * [backup-simplify]: Simplify 2 into 2 2.994 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.994 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.994 * [taylor]: Taking taylor expansion of n in n 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (* 1 1) into 1 2.995 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- 0) into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify -1 into -1 3.005 * [backup-simplify]: Simplify (/ (- (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (- (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) 3.006 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 3.006 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 3.006 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.006 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.006 * [taylor]: Taking taylor expansion of n in n 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.007 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.007 * [taylor]: Taking taylor expansion of f in n 3.007 * [backup-simplify]: Simplify f into f 3.007 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.007 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.007 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 3.007 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.007 * [taylor]: Taking taylor expansion of n in n 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.007 * [taylor]: Taking taylor expansion of f in n 3.007 * [backup-simplify]: Simplify f into f 3.008 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.008 * [backup-simplify]: Simplify (+ 1 0) into 1 3.008 * [backup-simplify]: Simplify (+ 1 0) into 1 3.009 * [backup-simplify]: Simplify (* 1 1) into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.009 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.009 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.009 * [taylor]: Taking taylor expansion of n in f 3.009 * [backup-simplify]: Simplify n into n 3.009 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.009 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.010 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.010 * [taylor]: Taking taylor expansion of f in f 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* 1 1) into 1 3.010 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.010 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.010 * [taylor]: Taking taylor expansion of n in f 3.010 * [backup-simplify]: Simplify n into n 3.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.011 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.011 * [taylor]: Taking taylor expansion of f in f 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 1 into 1 3.011 * [backup-simplify]: Simplify (/ 1 1) into 1 3.011 * [backup-simplify]: Simplify (- 1) into -1 3.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.012 * [backup-simplify]: Simplify (- 1) into -1 3.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.013 * [backup-simplify]: Simplify (* -1 -1) into 1 3.014 * [backup-simplify]: Simplify (/ -1 1) into -1 3.014 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.014 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.014 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.014 * [taylor]: Taking taylor expansion of n in f 3.014 * [backup-simplify]: Simplify n into n 3.014 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.014 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.014 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.014 * [taylor]: Taking taylor expansion of f in f 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (/ 1 1) into 1 3.015 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.015 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.015 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.015 * [taylor]: Taking taylor expansion of n in f 3.015 * [backup-simplify]: Simplify n into n 3.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.015 * [taylor]: Taking taylor expansion of f in f 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.016 * [backup-simplify]: Simplify (- 1) into -1 3.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.017 * [backup-simplify]: Simplify (- 1) into -1 3.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.018 * [backup-simplify]: Simplify (* -1 -1) into 1 3.018 * [backup-simplify]: Simplify (/ -1 1) into -1 3.018 * [taylor]: Taking taylor expansion of -1 in n 3.018 * [backup-simplify]: Simplify -1 into -1 3.018 * [backup-simplify]: Simplify -1 into -1 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.022 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 3.023 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.023 * [taylor]: Taking taylor expansion of 2 in n 3.023 * [backup-simplify]: Simplify 2 into 2 3.023 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.023 * [taylor]: Taking taylor expansion of n in n 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.025 * [backup-simplify]: Simplify (- 0) into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (- 0) into 0 3.028 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 3.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.031 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* -1 (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.031 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.031 * [taylor]: Taking taylor expansion of 2 in n 3.031 * [backup-simplify]: Simplify 2 into 2 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.031 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.031 * [taylor]: Taking taylor expansion of n in n 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (* 1 1) into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.037 * [backup-simplify]: Simplify (- 0) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.039 * [backup-simplify]: Simplify (- 0) into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (- 0) into 0 3.042 * [backup-simplify]: Simplify (+ 0 0) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- 0) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 (pow n 2)) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.047 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.047 * [taylor]: Taking taylor expansion of 2 in n 3.047 * [backup-simplify]: Simplify 2 into 2 3.047 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.047 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.047 * [taylor]: Taking taylor expansion of n in n 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (* 1 1) into 1 3.048 * [backup-simplify]: Simplify (* 1 1) into 1 3.048 * [backup-simplify]: Simplify (/ 1 1) into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (- 0) into 0 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify -1 into -1 3.058 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 3.059 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 3.059 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 3.059 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 3.059 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.059 * [taylor]: Taking taylor expansion of f in n 3.059 * [backup-simplify]: Simplify f into f 3.059 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.059 * [taylor]: Taking taylor expansion of n in n 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.059 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.059 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.059 * [taylor]: Taking taylor expansion of f in f 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.059 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.059 * [taylor]: Taking taylor expansion of n in f 3.059 * [backup-simplify]: Simplify n into n 3.059 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.059 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.059 * [taylor]: Taking taylor expansion of f in f 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify 1 into 1 3.059 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.059 * [taylor]: Taking taylor expansion of n in f 3.059 * [backup-simplify]: Simplify n into n 3.059 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.059 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.059 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.060 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 3.060 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.060 * [taylor]: Taking taylor expansion of n in n 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.060 * [backup-simplify]: Simplify (- 0) into 0 3.061 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [taylor]: Taking taylor expansion of 0 in n 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.062 * [backup-simplify]: Simplify (- 0) into 0 3.062 * [backup-simplify]: Simplify (+ 1 0) into 1 3.063 * [taylor]: Taking taylor expansion of 1 in n 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.064 * [backup-simplify]: Simplify (- 1) into -1 3.064 * [backup-simplify]: Simplify -1 into -1 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.065 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.066 * [backup-simplify]: Simplify (- 0) into 0 3.066 * [backup-simplify]: Simplify (+ 0 0) into 0 3.066 * [taylor]: Taking taylor expansion of 0 in n 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.067 * [backup-simplify]: Simplify (- 0) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.069 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 3.070 * [backup-simplify]: Simplify (- 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [taylor]: Taking taylor expansion of 0 in n 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 3.071 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.071 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.071 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.071 * [taylor]: Taking taylor expansion of f in n 3.071 * [backup-simplify]: Simplify f into f 3.071 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.071 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.071 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.071 * [taylor]: Taking taylor expansion of n in n 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.072 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.072 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.072 * [taylor]: Taking taylor expansion of f in f 3.072 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify 1 into 1 3.073 * [backup-simplify]: Simplify (* 1 1) into 1 3.073 * [backup-simplify]: Simplify (/ 1 1) into 1 3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.073 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.073 * [taylor]: Taking taylor expansion of n in f 3.074 * [backup-simplify]: Simplify n into n 3.074 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.074 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.074 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.074 * [taylor]: Taking taylor expansion of f in f 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.075 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.075 * [taylor]: Taking taylor expansion of n in f 3.075 * [backup-simplify]: Simplify n into n 3.075 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.075 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.075 * [backup-simplify]: Simplify (+ 1 0) into 1 3.075 * [taylor]: Taking taylor expansion of 1 in n 3.075 * [backup-simplify]: Simplify 1 into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [taylor]: Taking taylor expansion of 0 in n 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.080 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.080 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.081 * [backup-simplify]: Simplify (/ 1 1) into 1 3.081 * [backup-simplify]: Simplify (- 1) into -1 3.081 * [backup-simplify]: Simplify -1 into -1 3.081 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [taylor]: Taking taylor expansion of 0 in n 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (- 0) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.090 * [backup-simplify]: Simplify (- 0) into 0 3.090 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [taylor]: Taking taylor expansion of 0 in n 3.090 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (- 0) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 3.093 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.093 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.093 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.093 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.093 * [taylor]: Taking taylor expansion of f in n 3.093 * [backup-simplify]: Simplify f into f 3.094 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.094 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.094 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.094 * [taylor]: Taking taylor expansion of n in n 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.095 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.095 * [taylor]: Taking taylor expansion of f in f 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.096 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.096 * [taylor]: Taking taylor expansion of n in f 3.096 * [backup-simplify]: Simplify n into n 3.096 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.096 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.096 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.096 * [taylor]: Taking taylor expansion of f in f 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (* 1 1) into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.097 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.097 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.097 * [taylor]: Taking taylor expansion of n in f 3.097 * [backup-simplify]: Simplify n into n 3.097 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.097 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.098 * [backup-simplify]: Simplify (+ 1 0) into 1 3.098 * [taylor]: Taking taylor expansion of 1 in n 3.098 * [backup-simplify]: Simplify 1 into 1 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [taylor]: Taking taylor expansion of 0 in n 3.099 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.102 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.102 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.102 * [taylor]: Taking taylor expansion of n in n 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (* 1 1) into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [backup-simplify]: Simplify (- 1) into -1 3.103 * [backup-simplify]: Simplify -1 into -1 3.103 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.106 * [backup-simplify]: Simplify (- 0) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [taylor]: Taking taylor expansion of 0 in n 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- 0) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.112 * [backup-simplify]: Simplify (- 0) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in n 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 3.115 * * * [progress]: simplifying candidates 3.115 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.115 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.116 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.117 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.118 * * * * [progress]: [ 52 / 72 ] simplifiying candidate #real (real->posit16 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))))> 3.118 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.119 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.120 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (- (* f f) (* n n))))) (* (- f n) (- f n))))> 3.120 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.120 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.120 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.120 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.120 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.120 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.126 * [simplify]: Simplifying: (- (log (- (- (* f f) (* n n)))) (+ (log (- f n)) (log (- f n)))) (- (log (- (- (* f f) (* n n)))) (log (* (- f n) (- f n)))) (log (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (exp (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (- f n)) (* (* (- f n) (- f n)) (- f n)))) (/ (* (* (- (- (* f f) (* n n))) (- (- (* f f) (* n n)))) (- (- (* f f) (* n n)))) (* (* (* (- f n) (- f n)) (* (- f n) (- f n))) (* (- f n) (- f n)))) (* (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))) (cbrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (* (* (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (sqrt (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (- (- (* f f) (* n n)))) (- (* (- f n) (- f n))) (/ 0 (* (- f n) (- f n))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (* (cbrt (- (- (* f f) (* n n)))) (cbrt (- (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ -1 (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (- f n)) (/ (cbrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- 1) (- f n)) (/ (- (* f f) (* n n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- f n)) (/ (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (- f n)) (/ (- (cbrt (- (* f f) (* n n)))) (- f n)) (/ (sqrt (- (* f f) (* n n))) (- f n)) (/ (- (sqrt (- (* f f) (* n n)))) (- f n)) (/ 1 (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (/ (+ f n) (- f n)) (/ (- (- f n)) (- f n)) (/ 1 (* (- f n) (- f n))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (- (* f f) (* n n)) (* (- f n) (- f n))) (/ (- (- (* f f) (* n n))) (- f n)) (/ (* (- f n) (- f n)) (cbrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (sqrt (- (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (cbrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (sqrt (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (* f f) (* n n))) (/ (* (- f n) (- f n)) (- f n)) (/ (* (- f n) (- f n)) (- (cbrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (sqrt (- (* f f) (* n n))))) (/ (* (- f n) (- f n)) (- (- (* f f) (* n n)))) (/ (* (- f n) (- f n)) (- (- f n))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (pow f 3) (pow n 3)))) (/ (- (- (* f f) (* n n))) (* (- f n) (- (* f f) (* n n)))) (/ (- (- (* f f) (* n n))) (* (- (pow f 3) (pow n 3)) (- f n))) (/ (- (- (* f f) (* n n))) (* (- (* f f) (* n n)) (- f n))) (* (* (- f n) (- f n)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n))))) (* (* (- f n) (- f n)) (+ (* f f) (* n n))) (real->posit16 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (real->posit16 (- (* f f) (* n n))) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) 3.129 * * [simplify]: iteration 0: 124 enodes 3.170 * * [simplify]: iteration 1: 335 enodes 3.360 * * [simplify]: iteration 2: 1253 enodes 3.999 * * [simplify]: iteration complete: 5001 enodes 3.999 * * [simplify]: Extracting #0: cost 58 inf + 0 4.001 * * [simplify]: Extracting #1: cost 523 inf + 3 4.009 * * [simplify]: Extracting #2: cost 1759 inf + 255 4.033 * * [simplify]: Extracting #3: cost 1901 inf + 58666 4.092 * * [simplify]: Extracting #4: cost 406 inf + 373131 4.199 * * [simplify]: Extracting #5: cost 21 inf + 448105 4.315 * * [simplify]: Extracting #6: cost 0 inf + 451713 4.457 * [simplify]: Simplified to: (log (- (/ (+ 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)))) (- (* (* (/ (+ 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)) (- (* (- f n) (- f n))) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (+ (- (* f f)) (* n n))) (cbrt (+ (- (* f f)) (* n n)))) (- f n)) (/ (cbrt (+ (- (* f f)) (* n n))) (- f n)) (/ (sqrt (+ (- (* f f)) (* n n))) (- f n)) (/ (sqrt (+ (- (* f f)) (* n n))) (- f n)) (/ 1 (- f n)) (- (/ (* (+ f n) (- f n)) (- f n))) (/ -1 (- f n)) (/ (* (+ f n) (- f n)) (- f n)) (* (/ (cbrt (* (+ f n) (- f n))) (- f n)) (- (cbrt (* (+ f n) (- f n))))) (/ (cbrt (* (+ f n) (- f n))) (- f n)) (- (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ (sqrt (* (+ f n) (- f n))) (- f n)) (/ -1 (- f n)) (/ (* (+ f n) (- f n)) (- f n)) (- (/ (+ f n) (- f n))) 1 (* (/ (cbrt (* (+ f n) (- f n))) (- f n)) (cbrt (* (+ f n) (- f n)))) (- (/ (cbrt (* (+ f n) (- f n))) (- f n))) (/ (sqrt (* (+ f n) (- f n))) (- f n)) (- (/ (sqrt (* (+ f n) (- f n))) (- f n))) (/ 1 (- f n)) (- (/ (* (+ f n) (- f n)) (- f n))) (/ (+ f n) (- f n)) -1 (/ 1 (* (- f n) (- f n))) (/ (- f n) (- (/ (* (+ f n) (- f n)) (- f n)))) (/ (+ f n) (- f n)) (- (/ (* (+ f n) (- f n)) (- f n))) (/ (* (- f n) (- f n)) (cbrt (+ (- (* f f)) (* n n)))) (* (/ (- f n) (sqrt (+ (- (* f f)) (* n n)))) (- f n)) (/ (- f n) (- (/ (* (+ f n) (- f n)) (- f n)))) (/ (- f n) (+ f n)) (/ (* (- f n) (- f n)) (cbrt (* (+ f n) (- f n)))) (* (/ (- f n) (sqrt (* (+ f n) (- f n)))) (- f n)) (/ (- f n) (+ f n)) (- f n) (/ (- f n) (- (/ (cbrt (* (+ f n) (- f n))) (- f n)))) (/ (- f n) (- (/ (sqrt (* (+ f n) (- f n))) (- f n)))) (/ (- f n) (- (/ (* (+ f n) (- f n)) (- f n)))) (/ (- f n) -1) (/ (/ (+ (- (* f f)) (* n n)) (- (* f (* f f)) (* n (* n n)))) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (- (* f (* f f)) (* n (* n n)))) (/ (- 1) (* (+ f n) (- f n))) (- (/ (+ f n) (- (* f (* f f)) (* n (* n n))))) (/ (- 1) (- f n)) (- (/ (+ f n) (- (* f (* f f)) (* n (* n n))))) (/ (- 1) (- f n)) (* (* (- f n) (- f n)) (+ (* (* n n) (* n n)) (* (* f f) (+ (* n n) (* f f))))) (* (* (- f n) (- f n)) (+ (* n n) (* f f))) (real->posit16 (- (/ (+ f n) (- f n)))) (exp (- (* f f) (* n n))) (log (* (+ f n) (- f n))) (exp (- (* f f) (* n n))) (* (cbrt (* (+ f n) (- f n))) (cbrt (* (+ f n) (- f n)))) (cbrt (* (+ f n) (- f n))) (* (* (* (+ f n) (- f n)) (* (+ f n) (- f n))) (* (+ f n) (- f n))) (sqrt (* (+ f n) (- f n))) (sqrt (* (+ f n) (- f n))) (- (* (* (* f f) (* f f)) (* f f)) (* (* n n) (* (* n n) (* n n)))) (+ (* (* n n) (* n n)) (* (* f f) (+ (* n n) (* f f)))) (* (- n) n) (* (+ (* f f) (* n n)) (- (* f f) (* n n))) (+ (* n n) (* f f)) (+ f n) (- f n) (* (- n) n) (real->posit16 (* (+ f n) (- f n))) 1 -1 -1 (* (+ f n) (- f n)) (* (+ f n) (- f n)) (* (+ f n) (- f n)) 4.461 * * * [progress]: adding candidates to table 4.749 * * [progress]: iteration 3 / 4 4.749 * * * [progress]: picking best candidate 4.754 * * * * [pick]: Picked # 4.754 * * * [progress]: localizing error 4.800 * * * [progress]: generating rewritten candidates 4.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.891 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.907 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.911 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.927 * * * [progress]: generating series expansions 4.927 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.928 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) into (* -1 (/ (+ n f) (- f n))) 4.928 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.928 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.928 * [taylor]: Taking taylor expansion of -1 in n 4.928 * [backup-simplify]: Simplify -1 into -1 4.928 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.928 * [taylor]: Taking taylor expansion of (+ n f) in n 4.928 * [taylor]: Taking taylor expansion of n in n 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [taylor]: Taking taylor expansion of f in n 4.928 * [backup-simplify]: Simplify f into f 4.928 * [taylor]: Taking taylor expansion of (- f n) in n 4.928 * [taylor]: Taking taylor expansion of f in n 4.928 * [backup-simplify]: Simplify f into f 4.928 * [taylor]: Taking taylor expansion of n in n 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (+ 0 f) into f 4.929 * [backup-simplify]: Simplify (- 0) into 0 4.929 * [backup-simplify]: Simplify (+ f 0) into f 4.929 * [backup-simplify]: Simplify (/ f f) into 1 4.929 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.929 * [taylor]: Taking taylor expansion of -1 in f 4.929 * [backup-simplify]: Simplify -1 into -1 4.929 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.929 * [taylor]: Taking taylor expansion of (+ n f) in f 4.929 * [taylor]: Taking taylor expansion of n in f 4.929 * [backup-simplify]: Simplify n into n 4.929 * [taylor]: Taking taylor expansion of f in f 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [taylor]: Taking taylor expansion of (- f n) in f 4.929 * [taylor]: Taking taylor expansion of f in f 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [taylor]: Taking taylor expansion of n in f 4.929 * [backup-simplify]: Simplify n into n 4.929 * [backup-simplify]: Simplify (+ n 0) into n 4.929 * [backup-simplify]: Simplify (- n) into (- n) 4.929 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.929 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.930 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.930 * [taylor]: Taking taylor expansion of -1 in f 4.930 * [backup-simplify]: Simplify -1 into -1 4.930 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.930 * [taylor]: Taking taylor expansion of (+ n f) in f 4.930 * [taylor]: Taking taylor expansion of n in f 4.930 * [backup-simplify]: Simplify n into n 4.930 * [taylor]: Taking taylor expansion of f in f 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of (- f n) in f 4.930 * [taylor]: Taking taylor expansion of f in f 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [taylor]: Taking taylor expansion of n in f 4.930 * [backup-simplify]: Simplify n into n 4.930 * [backup-simplify]: Simplify (+ n 0) into n 4.930 * [backup-simplify]: Simplify (- n) into (- n) 4.930 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.930 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.931 * [backup-simplify]: Simplify (* -1 -1) into 1 4.931 * [taylor]: Taking taylor expansion of 1 in n 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (+ 0 1) into 1 4.931 * [backup-simplify]: Simplify (- 0) into 0 4.932 * [backup-simplify]: Simplify (+ 1 0) into 1 4.932 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.933 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.933 * [taylor]: Taking taylor expansion of 2 in n 4.933 * [backup-simplify]: Simplify 2 into 2 4.933 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.933 * [taylor]: Taking taylor expansion of n in n 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.935 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify (+ 0 0) into 0 4.936 * [backup-simplify]: Simplify (- 0) into 0 4.936 * [backup-simplify]: Simplify (+ 0 0) into 0 4.936 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.937 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.937 * [taylor]: Taking taylor expansion of 2 in n 4.937 * [backup-simplify]: Simplify 2 into 2 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.937 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.937 * [taylor]: Taking taylor expansion of n in n 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.942 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (- 0) into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.947 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.947 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.947 * [taylor]: Taking taylor expansion of 2 in n 4.947 * [backup-simplify]: Simplify 2 into 2 4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.947 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.947 * [taylor]: Taking taylor expansion of n in n 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (/ 1 1) into 1 4.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ (/ 1 f) (/ 1 n)))) 1) (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.958 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.958 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.958 * [taylor]: Taking taylor expansion of -1 in n 4.958 * [backup-simplify]: Simplify -1 into -1 4.958 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.958 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.958 * [taylor]: Taking taylor expansion of f in n 4.958 * [backup-simplify]: Simplify f into f 4.958 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.958 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.958 * [taylor]: Taking taylor expansion of n in n 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.958 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.958 * [taylor]: Taking taylor expansion of f in n 4.958 * [backup-simplify]: Simplify f into f 4.958 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.958 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.959 * [taylor]: Taking taylor expansion of n in n 4.959 * [backup-simplify]: Simplify 0 into 0 4.959 * [backup-simplify]: Simplify 1 into 1 4.959 * [backup-simplify]: Simplify (/ 1 1) into 1 4.959 * [backup-simplify]: Simplify (+ 0 1) into 1 4.960 * [backup-simplify]: Simplify (- 1) into -1 4.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.961 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.961 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.961 * [taylor]: Taking taylor expansion of -1 in f 4.961 * [backup-simplify]: Simplify -1 into -1 4.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.961 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.961 * [taylor]: Taking taylor expansion of f in f 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (/ 1 1) into 1 4.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.961 * [taylor]: Taking taylor expansion of n in f 4.961 * [backup-simplify]: Simplify n into n 4.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.961 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.961 * [taylor]: Taking taylor expansion of f in f 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.962 * [taylor]: Taking taylor expansion of n in f 4.962 * [backup-simplify]: Simplify n into n 4.962 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.962 * [backup-simplify]: Simplify (+ 1 0) into 1 4.963 * [backup-simplify]: Simplify (+ 1 0) into 1 4.963 * [backup-simplify]: Simplify (/ 1 1) into 1 4.963 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.963 * [taylor]: Taking taylor expansion of -1 in f 4.963 * [backup-simplify]: Simplify -1 into -1 4.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.963 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.963 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.963 * [taylor]: Taking taylor expansion of f in f 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.964 * [taylor]: Taking taylor expansion of n in f 4.964 * [backup-simplify]: Simplify n into n 4.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.964 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.964 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.964 * [taylor]: Taking taylor expansion of f in f 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.964 * [taylor]: Taking taylor expansion of n in f 4.965 * [backup-simplify]: Simplify n into n 4.965 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.965 * [backup-simplify]: Simplify (+ 1 0) into 1 4.965 * [backup-simplify]: Simplify (+ 1 0) into 1 4.966 * [backup-simplify]: Simplify (/ 1 1) into 1 4.966 * [backup-simplify]: Simplify (* -1 1) into -1 4.966 * [taylor]: Taking taylor expansion of -1 in n 4.966 * [backup-simplify]: Simplify -1 into -1 4.966 * [backup-simplify]: Simplify -1 into -1 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.968 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.968 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.969 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.969 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.969 * [taylor]: Taking taylor expansion of 2 in n 4.969 * [backup-simplify]: Simplify 2 into 2 4.969 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.969 * [taylor]: Taking taylor expansion of n in n 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 1 into 1 4.969 * [backup-simplify]: Simplify (/ 1 1) into 1 4.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.971 * [backup-simplify]: Simplify (- 0) into 0 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.974 * [backup-simplify]: Simplify (- 0) into 0 4.975 * [backup-simplify]: Simplify (+ 0 0) into 0 4.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.977 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.977 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.977 * [taylor]: Taking taylor expansion of 2 in n 4.977 * [backup-simplify]: Simplify 2 into 2 4.977 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.977 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.977 * [taylor]: Taking taylor expansion of n in n 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.982 * [backup-simplify]: Simplify (- 0) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.985 * [backup-simplify]: Simplify (- 0) into 0 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.986 * [backup-simplify]: Simplify (+ 0 0) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.988 * [backup-simplify]: Simplify (- 0) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.991 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.991 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.991 * [taylor]: Taking taylor expansion of 2 in n 4.991 * [backup-simplify]: Simplify 2 into 2 4.991 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.991 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.991 * [taylor]: Taking taylor expansion of n in n 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (* 1 1) into 1 4.992 * [backup-simplify]: Simplify (* 1 1) into 1 4.992 * [backup-simplify]: Simplify (/ 1 1) into 1 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.002 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.002 * [backup-simplify]: Simplify (- 0) into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify -1 into -1 5.003 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ (/ 1 (- f)) (/ 1 (- n))))) 1) (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) 5.003 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.003 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 5.003 * [taylor]: Taking taylor expansion of -1 in n 5.003 * [backup-simplify]: Simplify -1 into -1 5.003 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 5.003 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 5.003 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.003 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.003 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.003 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.003 * [taylor]: Taking taylor expansion of f in n 5.003 * [backup-simplify]: Simplify f into f 5.003 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.003 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.003 * [taylor]: Taking taylor expansion of n in n 5.003 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify 1 into 1 5.004 * [backup-simplify]: Simplify (/ 1 1) into 1 5.004 * [backup-simplify]: Simplify (+ 0 1) into 1 5.004 * [backup-simplify]: Simplify (- 1) into -1 5.005 * [backup-simplify]: Simplify (sqrt 0) into 0 5.005 * [backup-simplify]: Simplify (- 1) into -1 5.007 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.007 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.007 * [taylor]: Taking taylor expansion of n in n 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.008 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.008 * [taylor]: Taking taylor expansion of f in n 5.008 * [backup-simplify]: Simplify f into f 5.008 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.008 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.009 * [backup-simplify]: Simplify (+ 1 0) into 1 5.009 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 5.009 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 5.009 * [taylor]: Taking taylor expansion of -1 in f 5.009 * [backup-simplify]: Simplify -1 into -1 5.009 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 5.009 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 5.009 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.009 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.009 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.009 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.009 * [taylor]: Taking taylor expansion of f in f 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (/ 1 1) into 1 5.010 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.010 * [taylor]: Taking taylor expansion of n in f 5.010 * [backup-simplify]: Simplify n into n 5.010 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.011 * [backup-simplify]: Simplify (- 1) into -1 5.011 * [backup-simplify]: Simplify (sqrt 0) into 0 5.011 * [backup-simplify]: Simplify (- 1) into -1 5.013 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.013 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.013 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.013 * [taylor]: Taking taylor expansion of n in f 5.013 * [backup-simplify]: Simplify n into n 5.013 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.013 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.013 * [taylor]: Taking taylor expansion of f in f 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify 1 into 1 5.013 * [backup-simplify]: Simplify (/ 1 1) into 1 5.014 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.014 * [backup-simplify]: Simplify (- 1) into -1 5.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.015 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.015 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 5.015 * [taylor]: Taking taylor expansion of -1 in f 5.015 * [backup-simplify]: Simplify -1 into -1 5.015 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 5.015 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 5.015 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.015 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.015 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.015 * [taylor]: Taking taylor expansion of f in f 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.016 * [backup-simplify]: Simplify (/ 1 1) into 1 5.016 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.016 * [taylor]: Taking taylor expansion of n in f 5.016 * [backup-simplify]: Simplify n into n 5.016 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.016 * [backup-simplify]: Simplify (+ 1 0) into 1 5.017 * [backup-simplify]: Simplify (- 1) into -1 5.017 * [backup-simplify]: Simplify (sqrt 0) into 0 5.018 * [backup-simplify]: Simplify (- 1) into -1 5.019 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.019 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.019 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.019 * [taylor]: Taking taylor expansion of n in f 5.019 * [backup-simplify]: Simplify n into n 5.019 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.019 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.019 * [taylor]: Taking taylor expansion of f in f 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.020 * [backup-simplify]: Simplify (- 1) into -1 5.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.026 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.027 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 5.027 * [taylor]: Taking taylor expansion of +nan.0 in n 5.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.028 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.028 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.029 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n)))) (* (* +nan.0 (+ +nan.0 (/ 1 n))) +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (- 0) into 0 5.029 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.030 * [backup-simplify]: Simplify (- (/ (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.030 * [backup-simplify]: Simplify (+ (* -1 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (* 0 +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.030 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.030 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.030 * [taylor]: Taking taylor expansion of +nan.0 in n 5.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.030 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.030 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.030 * [taylor]: Taking taylor expansion of +nan.0 in n 5.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.030 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.030 * [taylor]: Taking taylor expansion of n in n 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.030 * [backup-simplify]: Simplify (/ 1 1) into 1 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.032 * [backup-simplify]: Simplify (- 0) into 0 5.032 * [backup-simplify]: Simplify (+ 0 0) into 0 5.033 * [backup-simplify]: Simplify (- 0) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.034 * [backup-simplify]: Simplify (+ 0 0) into 0 5.034 * [backup-simplify]: Simplify (- 0) into 0 5.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.035 * [backup-simplify]: Simplify (+ (* +nan.0 (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* (* +nan.0 (+ +nan.0 (/ 1 n))) (* +nan.0 (+ +nan.0 (/ 1 n)))) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 5.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.036 * [backup-simplify]: Simplify (- 0) into 0 5.036 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 5.037 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (* 0 +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 5.037 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 5.037 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 5.037 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.037 * [taylor]: Taking taylor expansion of +nan.0 in n 5.037 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.037 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.037 * [taylor]: Taking taylor expansion of n in n 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (* 1 1) into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.038 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.038 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.038 * [taylor]: Taking taylor expansion of +nan.0 in n 5.038 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.038 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.038 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.038 * [taylor]: Taking taylor expansion of +nan.0 in n 5.038 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.038 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.038 * [taylor]: Taking taylor expansion of n in n 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.042 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.044 * [backup-simplify]: Simplify (- 0) into 0 5.044 * [backup-simplify]: Simplify (+ 0 0) into 0 5.045 * [backup-simplify]: Simplify (- 0) into 0 5.045 * [backup-simplify]: Simplify (+ 0 0) into 0 5.045 * [backup-simplify]: Simplify (- 0) into 0 5.045 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (- 0) into 0 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [backup-simplify]: Simplify (- 0) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.047 * [backup-simplify]: Simplify (/ (sqrt (+ f n)) (- f n)) into (* (/ 1 (- f n)) (sqrt (+ n f))) 5.047 * [approximate]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in (f n) around 0 5.047 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in n 5.047 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 5.047 * [taylor]: Taking taylor expansion of (- f n) in n 5.047 * [taylor]: Taking taylor expansion of f in n 5.048 * [backup-simplify]: Simplify f into f 5.048 * [taylor]: Taking taylor expansion of n in n 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (- 0) into 0 5.048 * [backup-simplify]: Simplify (+ f 0) into f 5.048 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.048 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 5.048 * [taylor]: Taking taylor expansion of (+ n f) in n 5.048 * [taylor]: Taking taylor expansion of n in n 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of f in n 5.048 * [backup-simplify]: Simplify f into f 5.048 * [backup-simplify]: Simplify (+ 0 f) into f 5.048 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 5.048 * [backup-simplify]: Simplify (+ 1 0) into 1 5.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 5.048 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in f 5.048 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.048 * [taylor]: Taking taylor expansion of (- f n) in f 5.048 * [taylor]: Taking taylor expansion of f in f 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [backup-simplify]: Simplify (- n) into (- n) 5.049 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.049 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.049 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.049 * [taylor]: Taking taylor expansion of (+ n f) in f 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (+ n 0) into n 5.049 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.049 * [backup-simplify]: Simplify (+ 0 1) into 1 5.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.049 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in f 5.049 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.049 * [taylor]: Taking taylor expansion of (- f n) in f 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [backup-simplify]: Simplify (- n) into (- n) 5.049 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.049 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.049 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.049 * [taylor]: Taking taylor expansion of (+ n f) in f 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (+ n 0) into n 5.049 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.050 * [backup-simplify]: Simplify (+ 0 1) into 1 5.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.050 * [backup-simplify]: Simplify (* (/ -1 n) (sqrt n)) into (* -1 (sqrt (/ 1 n))) 5.050 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 n))) in n 5.050 * [taylor]: Taking taylor expansion of -1 in n 5.050 * [backup-simplify]: Simplify -1 into -1 5.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.050 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.050 * [taylor]: Taking taylor expansion of n in n 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.050 * [backup-simplify]: Simplify (/ 1 1) into 1 5.051 * [backup-simplify]: Simplify (sqrt 0) into 0 5.051 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.052 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 5.053 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.053 * [backup-simplify]: Simplify (- 0) into 0 5.053 * [backup-simplify]: Simplify (+ 1 0) into 1 5.053 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 5.053 * [backup-simplify]: Simplify (+ (* (/ -1 n) (* 1/2 (sqrt (/ 1 n)))) (* (- (/ 1 (pow n 2))) (sqrt n))) into (- (* 3/2 (sqrt (/ 1 (pow n 3))))) 5.053 * [taylor]: Taking taylor expansion of (- (* 3/2 (sqrt (/ 1 (pow n 3))))) in n 5.053 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 5.053 * [taylor]: Taking taylor expansion of 3/2 in n 5.054 * [backup-simplify]: Simplify 3/2 into 3/2 5.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 5.054 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.054 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.054 * [taylor]: Taking taylor expansion of n in n 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (* 1 1) into 1 5.054 * [backup-simplify]: Simplify (* 1 1) into 1 5.054 * [backup-simplify]: Simplify (/ 1 1) into 1 5.055 * [backup-simplify]: Simplify (sqrt 0) into 0 5.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.059 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.061 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.062 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.068 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.069 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 5.070 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) 5.070 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.070 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in n 5.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 5.070 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.070 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.070 * [taylor]: Taking taylor expansion of f in n 5.070 * [backup-simplify]: Simplify f into f 5.070 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.070 * [taylor]: Taking taylor expansion of n in n 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.071 * [backup-simplify]: Simplify (/ 1 1) into 1 5.071 * [backup-simplify]: Simplify (+ 0 1) into 1 5.071 * [backup-simplify]: Simplify (sqrt 0) into 0 5.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.073 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 5.073 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.073 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.073 * [taylor]: Taking taylor expansion of f in n 5.073 * [backup-simplify]: Simplify f into f 5.073 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.073 * [taylor]: Taking taylor expansion of n in n 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [backup-simplify]: Simplify (- 1) into -1 5.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.075 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.075 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in f 5.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.075 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.075 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.075 * [taylor]: Taking taylor expansion of f in f 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ 1 1) into 1 5.075 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.075 * [taylor]: Taking taylor expansion of n in f 5.075 * [backup-simplify]: Simplify n into n 5.075 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.076 * [backup-simplify]: Simplify (sqrt 0) into 0 5.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.078 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.078 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.078 * [taylor]: Taking taylor expansion of f in f 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.078 * [taylor]: Taking taylor expansion of n in f 5.078 * [backup-simplify]: Simplify n into n 5.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.079 * [backup-simplify]: Simplify (+ 1 0) into 1 5.079 * [backup-simplify]: Simplify (/ 1 1) into 1 5.079 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in f 5.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.079 * [taylor]: Taking taylor expansion of f in f 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.080 * [taylor]: Taking taylor expansion of n in f 5.080 * [backup-simplify]: Simplify n into n 5.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.080 * [backup-simplify]: Simplify (+ 1 0) into 1 5.081 * [backup-simplify]: Simplify (sqrt 0) into 0 5.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.082 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.082 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.082 * [taylor]: Taking taylor expansion of f in f 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.083 * [backup-simplify]: Simplify (/ 1 1) into 1 5.083 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.083 * [taylor]: Taking taylor expansion of n in f 5.083 * [backup-simplify]: Simplify n into n 5.083 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.083 * [backup-simplify]: Simplify (+ 1 0) into 1 5.084 * [backup-simplify]: Simplify (/ 1 1) into 1 5.084 * [backup-simplify]: Simplify (* 0 1) into 0 5.084 * [taylor]: Taking taylor expansion of 0 in n 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 5.086 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* +nan.0 1)) into (- +nan.0) 5.086 * [taylor]: Taking taylor expansion of (- +nan.0) in n 5.086 * [taylor]: Taking taylor expansion of +nan.0 in n 5.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.087 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.087 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.089 * [backup-simplify]: Simplify (- 0) into 0 5.089 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.091 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.092 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 5.092 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow n 2))) (+ (* +nan.0 (/ 1 n)) (* (* +nan.0 (- (/ 1 n) +nan.0)) 1))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.092 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.093 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.093 * [taylor]: Taking taylor expansion of +nan.0 in n 5.093 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.093 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.093 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.093 * [taylor]: Taking taylor expansion of +nan.0 in n 5.093 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.093 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.093 * [taylor]: Taking taylor expansion of n in n 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (/ 1 1) into 1 5.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.095 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 5.095 * [backup-simplify]: Simplify (- 0) into 0 5.096 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 5.096 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.097 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.097 * [backup-simplify]: Simplify (- 0) into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.099 * [backup-simplify]: Simplify (- 0) into 0 5.099 * [backup-simplify]: Simplify (+ 0 0) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.102 * [backup-simplify]: Simplify (+ 0 0) into 0 5.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.103 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow n 3))) (+ (* +nan.0 (/ 1 (pow n 2))) (+ (* (* +nan.0 (- (/ 1 n) +nan.0)) (/ 1 n)) (* (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 5.103 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 5.103 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 5.103 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.103 * [taylor]: Taking taylor expansion of +nan.0 in n 5.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.103 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.103 * [taylor]: Taking taylor expansion of n in n 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (* 1 1) into 1 5.104 * [backup-simplify]: Simplify (/ 1 1) into 1 5.104 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.104 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.104 * [taylor]: Taking taylor expansion of +nan.0 in n 5.104 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.104 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.104 * [taylor]: Taking taylor expansion of +nan.0 in n 5.104 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.104 * [taylor]: Taking taylor expansion of n in n 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.109 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.110 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 5.111 * [backup-simplify]: Simplify (- 0) into 0 5.111 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 5.112 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.113 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.113 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.114 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.115 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 3)) (+ (* (- +nan.0) (pow (* 1 (/ 1 f)) 2)) (* (- +nan.0) (* 1 (/ 1 f))))) into (- (+ (* +nan.0 (/ 1 f)) (- (+ (* +nan.0 (/ 1 (pow f 2))) (- (* +nan.0 (/ 1 (pow f 3)))))))) 5.116 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 5.116 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.116 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 5.116 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.116 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.116 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.116 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.116 * [taylor]: Taking taylor expansion of f in n 5.116 * [backup-simplify]: Simplify f into f 5.116 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.116 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.116 * [taylor]: Taking taylor expansion of n in n 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [backup-simplify]: Simplify (+ 0 1) into 1 5.117 * [backup-simplify]: Simplify (- 1) into -1 5.117 * [backup-simplify]: Simplify (sqrt 0) into 0 5.118 * [backup-simplify]: Simplify (- 1) into -1 5.119 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.119 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.119 * [taylor]: Taking taylor expansion of n in n 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.120 * [backup-simplify]: Simplify (/ 1 1) into 1 5.120 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.120 * [taylor]: Taking taylor expansion of f in n 5.120 * [backup-simplify]: Simplify f into f 5.120 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.120 * [backup-simplify]: Simplify (+ 1 0) into 1 5.121 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 5.121 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 5.121 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.121 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.121 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.121 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.121 * [taylor]: Taking taylor expansion of f in f 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.121 * [taylor]: Taking taylor expansion of n in f 5.121 * [backup-simplify]: Simplify n into n 5.121 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.122 * [backup-simplify]: Simplify (+ 1 0) into 1 5.122 * [backup-simplify]: Simplify (- 1) into -1 5.122 * [backup-simplify]: Simplify (sqrt 0) into 0 5.123 * [backup-simplify]: Simplify (- 1) into -1 5.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.124 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.124 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.124 * [taylor]: Taking taylor expansion of n in f 5.124 * [backup-simplify]: Simplify n into n 5.124 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.124 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.124 * [taylor]: Taking taylor expansion of f in f 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.125 * [backup-simplify]: Simplify (/ 1 1) into 1 5.125 * [backup-simplify]: Simplify (- 1) into -1 5.126 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.126 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.126 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 5.126 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.126 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.126 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.126 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.126 * [taylor]: Taking taylor expansion of f in f 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (/ 1 1) into 1 5.127 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.127 * [taylor]: Taking taylor expansion of n in f 5.127 * [backup-simplify]: Simplify n into n 5.127 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.127 * [backup-simplify]: Simplify (+ 1 0) into 1 5.127 * [backup-simplify]: Simplify (- 1) into -1 5.128 * [backup-simplify]: Simplify (sqrt 0) into 0 5.128 * [backup-simplify]: Simplify (- 1) into -1 5.129 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.129 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.130 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.130 * [taylor]: Taking taylor expansion of n in f 5.130 * [backup-simplify]: Simplify n into n 5.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.130 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.130 * [taylor]: Taking taylor expansion of f in f 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (/ 1 1) into 1 5.131 * [backup-simplify]: Simplify (- 1) into -1 5.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.131 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.132 * [taylor]: Taking taylor expansion of +nan.0 in n 5.132 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.133 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.134 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.135 * [backup-simplify]: Simplify (- 0) into 0 5.135 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.136 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ +nan.0 (/ 1 n))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.136 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.136 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.136 * [taylor]: Taking taylor expansion of +nan.0 in n 5.136 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.136 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.136 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.136 * [taylor]: Taking taylor expansion of +nan.0 in n 5.136 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.136 * [taylor]: Taking taylor expansion of n in n 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (/ 1 1) into 1 5.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.139 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.140 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (- 0) into 0 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.142 * [backup-simplify]: Simplify (+ 0 0) into 0 5.142 * [backup-simplify]: Simplify (- 0) into 0 5.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (- 0) into 0 5.145 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) -1) (+ (* +nan.0 (/ 0 -1)) (* (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) (/ (/ 1 n) -1)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 5.146 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 5.146 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 5.146 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.146 * [taylor]: Taking taylor expansion of +nan.0 in n 5.146 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.146 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.146 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.146 * [taylor]: Taking taylor expansion of n in n 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.147 * [backup-simplify]: Simplify (* 1 1) into 1 5.147 * [backup-simplify]: Simplify (/ 1 1) into 1 5.147 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.147 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.147 * [taylor]: Taking taylor expansion of +nan.0 in n 5.147 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.147 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.147 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.147 * [taylor]: Taking taylor expansion of +nan.0 in n 5.147 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.147 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.147 * [taylor]: Taking taylor expansion of n in n 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.163 * [backup-simplify]: Simplify (- 0) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (- 0) into 0 5.164 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (- 0) into 0 5.164 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (- 0) into 0 5.167 * [backup-simplify]: Simplify (+ 0 0) into 0 5.168 * [backup-simplify]: Simplify (- 0) into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.168 * [backup-simplify]: Simplify (sqrt (+ f n)) into (sqrt (+ n f)) 5.168 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 5.168 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 5.168 * [taylor]: Taking taylor expansion of (+ n f) in n 5.168 * [taylor]: Taking taylor expansion of n in n 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [taylor]: Taking taylor expansion of f in n 5.168 * [backup-simplify]: Simplify f into f 5.169 * [backup-simplify]: Simplify (+ 0 f) into f 5.169 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 5.169 * [backup-simplify]: Simplify (+ 1 0) into 1 5.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 5.169 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.169 * [taylor]: Taking taylor expansion of (+ n f) in f 5.169 * [taylor]: Taking taylor expansion of n in f 5.169 * [backup-simplify]: Simplify n into n 5.169 * [taylor]: Taking taylor expansion of f in f 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (+ n 0) into n 5.169 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.170 * [backup-simplify]: Simplify (+ 0 1) into 1 5.170 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.170 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.170 * [taylor]: Taking taylor expansion of (+ n f) in f 5.170 * [taylor]: Taking taylor expansion of n in f 5.170 * [backup-simplify]: Simplify n into n 5.170 * [taylor]: Taking taylor expansion of f in f 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (+ n 0) into n 5.170 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.171 * [backup-simplify]: Simplify (+ 0 1) into 1 5.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.171 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.171 * [taylor]: Taking taylor expansion of n in n 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (sqrt 0) into 0 5.173 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 5.173 * [taylor]: Taking taylor expansion of 1/2 in n 5.173 * [backup-simplify]: Simplify 1/2 into 1/2 5.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.173 * [taylor]: Taking taylor expansion of n in n 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [backup-simplify]: Simplify (sqrt 0) into 0 5.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.177 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 5.177 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.178 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 n))) 2) (+)) (* 2 (sqrt n))) into (* -1/8 (sqrt (/ 1 (pow n 3)))) 5.178 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 5.178 * [taylor]: Taking taylor expansion of -1/8 in n 5.178 * [backup-simplify]: Simplify -1/8 into -1/8 5.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 5.178 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.178 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.178 * [taylor]: Taking taylor expansion of n in n 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (* 1 1) into 1 5.179 * [backup-simplify]: Simplify (* 1 1) into 1 5.179 * [backup-simplify]: Simplify (/ 1 1) into 1 5.180 * [backup-simplify]: Simplify (sqrt 0) into 0 5.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.186 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.188 * [backup-simplify]: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.190 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 5.190 * [backup-simplify]: Simplify (sqrt (+ (/ 1 f) (/ 1 n))) into (sqrt (+ (/ 1 f) (/ 1 n))) 5.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 5.190 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.190 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.190 * [taylor]: Taking taylor expansion of f in n 5.190 * [backup-simplify]: Simplify f into f 5.190 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.190 * [taylor]: Taking taylor expansion of n in n 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.191 * [backup-simplify]: Simplify (+ 0 1) into 1 5.191 * [backup-simplify]: Simplify (sqrt 0) into 0 5.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.193 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.193 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.193 * [taylor]: Taking taylor expansion of f in f 5.193 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.193 * [taylor]: Taking taylor expansion of n in f 5.193 * [backup-simplify]: Simplify n into n 5.193 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.194 * [backup-simplify]: Simplify (+ 1 0) into 1 5.194 * [backup-simplify]: Simplify (sqrt 0) into 0 5.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.196 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.196 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.196 * [taylor]: Taking taylor expansion of f in f 5.196 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.197 * [taylor]: Taking taylor expansion of n in f 5.197 * [backup-simplify]: Simplify n into n 5.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.197 * [backup-simplify]: Simplify (+ 1 0) into 1 5.197 * [backup-simplify]: Simplify (sqrt 0) into 0 5.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.199 * [taylor]: Taking taylor expansion of 0 in n 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [taylor]: Taking taylor expansion of +nan.0 in n 5.199 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.199 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.202 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 5.202 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 5.202 * [taylor]: Taking taylor expansion of +nan.0 in n 5.202 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.202 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 5.202 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.202 * [taylor]: Taking taylor expansion of n in n 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [backup-simplify]: Simplify (/ 1 1) into 1 5.202 * [taylor]: Taking taylor expansion of +nan.0 in n 5.202 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.203 * [backup-simplify]: Simplify (+ 1 0) into 1 5.203 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.203 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.205 * [backup-simplify]: Simplify (+ 0 0) into 0 5.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.205 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.205 * [taylor]: Taking taylor expansion of +nan.0 in n 5.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.206 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.206 * [taylor]: Taking taylor expansion of +nan.0 in n 5.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.206 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.206 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.206 * [taylor]: Taking taylor expansion of +nan.0 in n 5.206 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.206 * [taylor]: Taking taylor expansion of n in n 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 1 into 1 5.206 * [backup-simplify]: Simplify (/ 1 1) into 1 5.207 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.207 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.208 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.209 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.209 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.209 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 5.209 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (+ (/ 1 f) (/ 1 n)))) 5.209 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.209 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.209 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.209 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.210 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.210 * [taylor]: Taking taylor expansion of f in n 5.210 * [backup-simplify]: Simplify f into f 5.210 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.210 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.210 * [taylor]: Taking taylor expansion of n in n 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [backup-simplify]: Simplify (+ 0 1) into 1 5.211 * [backup-simplify]: Simplify (- 1) into -1 5.211 * [backup-simplify]: Simplify (sqrt 0) into 0 5.212 * [backup-simplify]: Simplify (- 1) into -1 5.213 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.213 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.213 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.213 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.213 * [taylor]: Taking taylor expansion of f in f 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1 1) into 1 5.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.214 * [taylor]: Taking taylor expansion of n in f 5.214 * [backup-simplify]: Simplify n into n 5.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.214 * [backup-simplify]: Simplify (+ 1 0) into 1 5.215 * [backup-simplify]: Simplify (- 1) into -1 5.215 * [backup-simplify]: Simplify (sqrt 0) into 0 5.215 * [backup-simplify]: Simplify (- 1) into -1 5.217 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.217 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.217 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.217 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.217 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.217 * [taylor]: Taking taylor expansion of f in f 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.217 * [taylor]: Taking taylor expansion of n in f 5.217 * [backup-simplify]: Simplify n into n 5.217 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.218 * [backup-simplify]: Simplify (+ 1 0) into 1 5.218 * [backup-simplify]: Simplify (- 1) into -1 5.219 * [backup-simplify]: Simplify (sqrt 0) into 0 5.219 * [backup-simplify]: Simplify (- 1) into -1 5.220 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.220 * [taylor]: Taking taylor expansion of 0 in n 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [taylor]: Taking taylor expansion of +nan.0 in n 5.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.222 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.223 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.223 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 5.223 * [taylor]: Taking taylor expansion of +nan.0 in n 5.223 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.223 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 5.223 * [taylor]: Taking taylor expansion of +nan.0 in n 5.223 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.223 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.223 * [taylor]: Taking taylor expansion of n in n 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (/ 1 1) into 1 5.224 * [backup-simplify]: Simplify (+ 0 1) into 1 5.224 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.224 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.224 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.226 * [backup-simplify]: Simplify (+ 0 0) into 0 5.226 * [backup-simplify]: Simplify (- 0) into 0 5.227 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.227 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.227 * [taylor]: Taking taylor expansion of +nan.0 in n 5.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.227 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.227 * [taylor]: Taking taylor expansion of +nan.0 in n 5.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.227 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.227 * [taylor]: Taking taylor expansion of +nan.0 in n 5.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.227 * [taylor]: Taking taylor expansion of n in n 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (/ 1 1) into 1 5.228 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.229 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.229 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.230 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.230 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.231 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 5.231 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.231 * [backup-simplify]: Simplify (sqrt (+ f n)) into (sqrt (+ n f)) 5.231 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 5.231 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 5.231 * [taylor]: Taking taylor expansion of (+ n f) in n 5.231 * [taylor]: Taking taylor expansion of n in n 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [taylor]: Taking taylor expansion of f in n 5.231 * [backup-simplify]: Simplify f into f 5.231 * [backup-simplify]: Simplify (+ 0 f) into f 5.231 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 5.232 * [backup-simplify]: Simplify (+ 1 0) into 1 5.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 5.232 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.232 * [taylor]: Taking taylor expansion of (+ n f) in f 5.232 * [taylor]: Taking taylor expansion of n in f 5.232 * [backup-simplify]: Simplify n into n 5.232 * [taylor]: Taking taylor expansion of f in f 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (+ n 0) into n 5.232 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.233 * [backup-simplify]: Simplify (+ 0 1) into 1 5.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.233 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.233 * [taylor]: Taking taylor expansion of (+ n f) in f 5.233 * [taylor]: Taking taylor expansion of n in f 5.233 * [backup-simplify]: Simplify n into n 5.233 * [taylor]: Taking taylor expansion of f in f 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (+ n 0) into n 5.233 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.233 * [backup-simplify]: Simplify (+ 0 1) into 1 5.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.234 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.234 * [taylor]: Taking taylor expansion of n in n 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (sqrt 0) into 0 5.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 5.235 * [taylor]: Taking taylor expansion of 1/2 in n 5.235 * [backup-simplify]: Simplify 1/2 into 1/2 5.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.235 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.236 * [taylor]: Taking taylor expansion of n in n 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (/ 1 1) into 1 5.236 * [backup-simplify]: Simplify (sqrt 0) into 0 5.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.239 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 5.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.240 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.240 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 n))) 2) (+)) (* 2 (sqrt n))) into (* -1/8 (sqrt (/ 1 (pow n 3)))) 5.241 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 5.241 * [taylor]: Taking taylor expansion of -1/8 in n 5.241 * [backup-simplify]: Simplify -1/8 into -1/8 5.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 5.241 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.241 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.241 * [taylor]: Taking taylor expansion of n in n 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 1 into 1 5.241 * [backup-simplify]: Simplify (* 1 1) into 1 5.242 * [backup-simplify]: Simplify (* 1 1) into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.243 * [backup-simplify]: Simplify (sqrt 0) into 0 5.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.251 * [backup-simplify]: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.252 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.253 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 5.253 * [backup-simplify]: Simplify (sqrt (+ (/ 1 f) (/ 1 n))) into (sqrt (+ (/ 1 f) (/ 1 n))) 5.253 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 5.253 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.253 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.253 * [taylor]: Taking taylor expansion of f in n 5.253 * [backup-simplify]: Simplify f into f 5.253 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.253 * [taylor]: Taking taylor expansion of n in n 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [backup-simplify]: Simplify (+ 0 1) into 1 5.255 * [backup-simplify]: Simplify (sqrt 0) into 0 5.256 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.256 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.256 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.256 * [taylor]: Taking taylor expansion of f in f 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [backup-simplify]: Simplify (/ 1 1) into 1 5.256 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.257 * [taylor]: Taking taylor expansion of n in f 5.257 * [backup-simplify]: Simplify n into n 5.257 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.257 * [backup-simplify]: Simplify (+ 1 0) into 1 5.257 * [backup-simplify]: Simplify (sqrt 0) into 0 5.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.259 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.259 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.259 * [taylor]: Taking taylor expansion of f in f 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.259 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.259 * [taylor]: Taking taylor expansion of n in f 5.259 * [backup-simplify]: Simplify n into n 5.259 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.260 * [backup-simplify]: Simplify (+ 1 0) into 1 5.260 * [backup-simplify]: Simplify (sqrt 0) into 0 5.262 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.262 * [taylor]: Taking taylor expansion of 0 in n 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [taylor]: Taking taylor expansion of +nan.0 in n 5.262 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.262 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.265 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 5.265 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 5.265 * [taylor]: Taking taylor expansion of +nan.0 in n 5.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.265 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 5.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.265 * [taylor]: Taking taylor expansion of n in n 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (/ 1 1) into 1 5.265 * [taylor]: Taking taylor expansion of +nan.0 in n 5.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.266 * [backup-simplify]: Simplify (+ 1 0) into 1 5.266 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.266 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.266 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.269 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.269 * [taylor]: Taking taylor expansion of +nan.0 in n 5.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.269 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.269 * [taylor]: Taking taylor expansion of +nan.0 in n 5.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.269 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.269 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.269 * [taylor]: Taking taylor expansion of +nan.0 in n 5.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.269 * [taylor]: Taking taylor expansion of n in n 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.270 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.271 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.272 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.273 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 5.273 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (+ (/ 1 f) (/ 1 n)))) 5.273 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.273 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.273 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.273 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.273 * [taylor]: Taking taylor expansion of f in n 5.273 * [backup-simplify]: Simplify f into f 5.273 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.273 * [taylor]: Taking taylor expansion of n in n 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (/ 1 1) into 1 5.274 * [backup-simplify]: Simplify (+ 0 1) into 1 5.275 * [backup-simplify]: Simplify (- 1) into -1 5.275 * [backup-simplify]: Simplify (sqrt 0) into 0 5.275 * [backup-simplify]: Simplify (- 1) into -1 5.277 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.277 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.277 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.277 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.277 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.277 * [taylor]: Taking taylor expansion of f in f 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 1 into 1 5.277 * [backup-simplify]: Simplify (/ 1 1) into 1 5.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.277 * [taylor]: Taking taylor expansion of n in f 5.277 * [backup-simplify]: Simplify n into n 5.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.278 * [backup-simplify]: Simplify (+ 1 0) into 1 5.278 * [backup-simplify]: Simplify (- 1) into -1 5.279 * [backup-simplify]: Simplify (sqrt 0) into 0 5.279 * [backup-simplify]: Simplify (- 1) into -1 5.280 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.280 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.280 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.281 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.281 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.281 * [taylor]: Taking taylor expansion of f in f 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 1 into 1 5.281 * [backup-simplify]: Simplify (/ 1 1) into 1 5.281 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.281 * [taylor]: Taking taylor expansion of n in f 5.281 * [backup-simplify]: Simplify n into n 5.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.282 * [backup-simplify]: Simplify (+ 1 0) into 1 5.282 * [backup-simplify]: Simplify (- 1) into -1 5.282 * [backup-simplify]: Simplify (sqrt 0) into 0 5.283 * [backup-simplify]: Simplify (- 1) into -1 5.284 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.284 * [taylor]: Taking taylor expansion of 0 in n 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [taylor]: Taking taylor expansion of +nan.0 in n 5.284 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.284 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.285 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.285 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.286 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.286 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 5.286 * [taylor]: Taking taylor expansion of +nan.0 in n 5.286 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.286 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 5.287 * [taylor]: Taking taylor expansion of +nan.0 in n 5.287 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.287 * [taylor]: Taking taylor expansion of n in n 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (/ 1 1) into 1 5.287 * [backup-simplify]: Simplify (+ 0 1) into 1 5.288 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.288 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.288 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.288 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.289 * [backup-simplify]: Simplify (+ 0 0) into 0 5.290 * [backup-simplify]: Simplify (- 0) into 0 5.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.290 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.290 * [taylor]: Taking taylor expansion of +nan.0 in n 5.290 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.290 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.290 * [taylor]: Taking taylor expansion of +nan.0 in n 5.291 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.291 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.291 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.291 * [taylor]: Taking taylor expansion of +nan.0 in n 5.291 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.291 * [taylor]: Taking taylor expansion of n in n 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (/ 1 1) into 1 5.292 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.293 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.293 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.294 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.294 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 5.294 * * * [progress]: simplifying candidates 5.294 * * * * [progress]: [ 1 / 242 ] simplifiying candidate # 5.294 * * * * [progress]: [ 2 / 242 ] simplifiying candidate # 5.294 * * * * [progress]: [ 3 / 242 ] simplifiying candidate # 5.294 * * * * [progress]: [ 4 / 242 ] 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simplifiying candidate # 5.303 * * * * [progress]: [ 233 / 242 ] simplifiying candidate # 5.303 * * * * [progress]: [ 234 / 242 ] simplifiying candidate # 5.303 * * * * [progress]: [ 235 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 236 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 237 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 238 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 239 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 240 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 241 / 242 ] simplifiying candidate # 5.304 * * * * [progress]: [ 242 / 242 ] simplifiying candidate # 5.310 * [simplify]: Simplifying: (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) (+ (- (log (- (sqrt (+ f n)))) 0) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (- (log (- (sqrt (+ f n)))) 0) (log (/ (sqrt (+ f n)) (- f n)))) (+ (- (log (- (sqrt (+ f n)))) (log 1)) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (- (log (- (sqrt (+ f n)))) (log 1)) (log (/ (sqrt (+ f n)) (- f n)))) (+ (log (/ (- (sqrt (+ f n))) 1)) (- (log (sqrt (+ f n))) (log (- f n)))) (+ (log (/ (- (sqrt (+ f n))) 1)) (log (/ (sqrt (+ f n)) (- f n)))) (log (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (exp (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (/ (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* 1 1) 1)) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (/ (* (* (- (sqrt (+ f n))) (- (sqrt (+ f n)))) (- (sqrt (+ f n)))) (* (* 1 1) 1)) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (/ (- (sqrt (+ f n))) 1) (/ (- (sqrt (+ f n))) 1)) (/ (- (sqrt (+ f n))) 1)) (/ (* (* (sqrt (+ f n)) (sqrt (+ f n))) (sqrt (+ f n))) (* (* (- f n) (- f n)) (- f n)))) (* (* (* (/ (- (sqrt (+ f n))) 1) (/ (- (sqrt (+ f n))) 1)) (/ (- (sqrt (+ f n))) 1)) (* (* (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (- f n))) (/ (sqrt (+ f n)) (- f n)))) (* (cbrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (cbrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))))) (cbrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (* (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (sqrt (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (- (sqrt (+ f n))) (sqrt (+ f n))) (* 1 (- f n)) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ f n))) (sqrt (- f n)))) (* (sqrt (/ (- (sqrt (+ f n))) 1)) (/ (sqrt (sqrt (+ 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+nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 5.314 * * [simplify]: iteration 0: 274 enodes 5.471 * * [simplify]: iteration 1: 827 enodes 5.914 * * [simplify]: iteration 2: 2323 enodes 6.935 * * [simplify]: iteration complete: 5002 enodes 6.936 * * [simplify]: Extracting #0: cost 109 inf + 0 6.937 * * [simplify]: Extracting #1: cost 783 inf + 4 6.941 * * [simplify]: Extracting #2: cost 1307 inf + 136 6.949 * * [simplify]: Extracting #3: cost 1232 inf + 24685 6.986 * * [simplify]: Extracting #4: cost 582 inf + 157878 7.053 * * [simplify]: Extracting #5: cost 112 inf + 295194 7.130 * * [simplify]: Extracting #6: cost 28 inf + 327847 7.227 * * [simplify]: Extracting #7: cost 6 inf + 333041 7.318 * * [simplify]: Extracting #8: cost 0 inf + 334859 7.440 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) 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f))))) 0 (+ (* (- f) (* f +nan.0)) (* +nan.0 (- n f))) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (+ (* (- f) (* f +nan.0)) (* +nan.0 (- n f))) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) (- (+ (* (/ n f) (- (/ +nan.0 f) +nan.0)) +nan.0)) 7.469 * * * [progress]: adding candidates to table 8.388 * [progress]: [Phase 3 of 3] Extracting. 8.389 * * [regime]: Finding splitpoints for: (# # #) 8.390 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 8.390 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 8.434 * * * * [regimes]: Trying to branch on n from (# # #) 8.488 * * * * [regimes]: Trying to branch on f from (# # #) 8.526 * * * [regime]: Found split indices: #