1.280 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.161 * * * [progress]: [2/2] Setting up program. 0.168 * [progress]: [Phase 2 of 3] Improving. 0.168 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.173 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.174 * * [simplify]: iteration 0: 6 enodes 0.215 * * [simplify]: iteration 1: 13 enodes 0.223 * * [simplify]: iteration 2: 16 enodes 0.232 * * [simplify]: iteration 3: 20 enodes 0.236 * * [simplify]: iteration 4: 24 enodes 0.240 * * [simplify]: iteration 5: 29 enodes 0.245 * * [simplify]: iteration 6: 31 enodes 0.283 * * [simplify]: iteration complete: 31 enodes 0.283 * * [simplify]: Extracting #0: cost 1 inf + 0 0.283 * * [simplify]: Extracting #1: cost 9 inf + 0 0.283 * * [simplify]: Extracting #2: cost 14 inf + 0 0.284 * * [simplify]: Extracting #3: cost 11 inf + 43 0.285 * * [simplify]: Extracting #4: cost 2 inf + 860 0.285 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.285 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.288 * * [progress]: iteration 1 / 4 0.289 * * * [progress]: picking best candidate 0.292 * * * * [pick]: Picked # 0.293 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.402 * * * [progress]: generating series expansions 0.402 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.410 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.410 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.411 * [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 0.412 * [taylor]: Taking taylor expansion of (- f n) in n 0.412 * [taylor]: Taking taylor expansion of f in n 0.412 * [backup-simplify]: Simplify f into f 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 0.413 * [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 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.415 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.415 * [taylor]: Taking taylor expansion of -1 in f 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.415 * [taylor]: Taking taylor expansion of (+ n f) in f 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of (- f n) in f 0.415 * [taylor]: Taking taylor expansion of f in f 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [taylor]: Taking taylor expansion of n in f 0.415 * [backup-simplify]: Simplify n into n 0.415 * [backup-simplify]: Simplify (+ n 0) into n 0.415 * [backup-simplify]: Simplify (- n) into (- n) 0.415 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.416 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.417 * [backup-simplify]: Simplify (* -1 -1) into 1 0.417 * [taylor]: Taking taylor expansion of 1 in n 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.420 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.420 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.420 * [taylor]: Taking taylor expansion of 2 in n 0.420 * [backup-simplify]: Simplify 2 into 2 0.420 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.425 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.425 * [taylor]: Taking taylor expansion of 2 in n 0.425 * [backup-simplify]: Simplify 2 into 2 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.425 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [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)))) 0.433 * [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))) 0.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.433 * [taylor]: Taking taylor expansion of 2 in n 0.433 * [backup-simplify]: Simplify 2 into 2 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.433 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.440 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.440 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.440 * [taylor]: Taking taylor expansion of -1 in n 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.440 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.440 * [taylor]: Taking taylor expansion of f in n 0.440 * [backup-simplify]: Simplify f into f 0.440 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.441 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.441 * [taylor]: Taking taylor expansion of f in n 0.441 * [backup-simplify]: Simplify f into f 0.441 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.441 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.441 * [backup-simplify]: Simplify (- 1) into -1 0.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.442 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.442 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.442 * [taylor]: Taking taylor expansion of -1 in f 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.442 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.442 * [taylor]: Taking taylor expansion of f in f 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.443 * [taylor]: Taking taylor expansion of n in f 0.443 * [backup-simplify]: Simplify n into n 0.443 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.443 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.443 * [taylor]: Taking taylor expansion of f in f 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.443 * [taylor]: Taking taylor expansion of n in f 0.443 * [backup-simplify]: Simplify n into n 0.443 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.444 * [taylor]: Taking taylor expansion of -1 in f 0.444 * [backup-simplify]: Simplify -1 into -1 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.444 * [taylor]: Taking taylor expansion of f in f 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 0.444 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.444 * [taylor]: Taking taylor expansion of n in f 0.444 * [backup-simplify]: Simplify n into n 0.444 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.444 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.444 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.444 * [taylor]: Taking taylor expansion of f in f 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.445 * [taylor]: Taking taylor expansion of n in f 0.445 * [backup-simplify]: Simplify n into n 0.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (* -1 1) into -1 0.446 * [taylor]: Taking taylor expansion of -1 in n 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [backup-simplify]: Simplify -1 into -1 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.448 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.448 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.448 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.448 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.449 * [taylor]: Taking taylor expansion of 2 in n 0.449 * [backup-simplify]: Simplify 2 into 2 0.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.465 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.465 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.466 * [taylor]: Taking taylor expansion of 2 in n 0.466 * [backup-simplify]: Simplify 2 into 2 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.466 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [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))) 0.478 * [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)))) 0.478 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.478 * [taylor]: Taking taylor expansion of 2 in n 0.479 * [backup-simplify]: Simplify 2 into 2 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.479 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.479 * [taylor]: Taking taylor expansion of n in n 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify -1 into -1 0.489 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.489 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.489 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.489 * [taylor]: Taking taylor expansion of f in n 0.489 * [backup-simplify]: Simplify f into f 0.490 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.491 * [taylor]: Taking taylor expansion of f in n 0.491 * [backup-simplify]: Simplify f into f 0.491 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.491 * [backup-simplify]: Simplify (+ 0 1) into 1 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.492 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.492 * [taylor]: Taking taylor expansion of f in f 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.493 * [taylor]: Taking taylor expansion of n in f 0.493 * [backup-simplify]: Simplify n into n 0.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.493 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.493 * [taylor]: Taking taylor expansion of n in f 0.493 * [backup-simplify]: Simplify n into n 0.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.493 * [taylor]: Taking taylor expansion of f in f 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [backup-simplify]: Simplify (- 1) into -1 0.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.495 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.495 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.495 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.495 * [taylor]: Taking taylor expansion of f in f 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 0.495 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.496 * [taylor]: Taking taylor expansion of n in f 0.496 * [backup-simplify]: Simplify n into n 0.496 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.496 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.496 * [taylor]: Taking taylor expansion of n in f 0.496 * [backup-simplify]: Simplify n into n 0.496 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.496 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.496 * [taylor]: Taking taylor expansion of f in f 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (- 1) into -1 0.497 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.498 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.498 * [taylor]: Taking taylor expansion of -1 in n 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [backup-simplify]: Simplify -1 into -1 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.500 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.500 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.500 * [taylor]: Taking taylor expansion of 2 in n 0.500 * [backup-simplify]: Simplify 2 into 2 0.500 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.507 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.507 * [taylor]: Taking taylor expansion of 2 in n 0.507 * [backup-simplify]: Simplify 2 into 2 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.507 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [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 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (- 0) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.519 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.519 * [taylor]: Taking taylor expansion of 2 in n 0.519 * [backup-simplify]: Simplify 2 into 2 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.519 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [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 0.523 * [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 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify -1 into -1 0.529 * * * [progress]: simplifying candidates 0.529 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 0.529 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 16 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 0.530 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 0.531 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 60 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 0.532 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 73 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 0.533 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 89 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 98 / 101 ] simplifiying candidate #real (real->posit16 (/ (- (+ f n)) (- f n)))))> 0.534 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 0.534 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 0.535 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 0.536 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (real->posit16 (/ (- (+ f n)) (- f n))) 1 -1 -1 0.539 * * [simplify]: iteration 0: 136 enodes 0.595 * * [simplify]: iteration 1: 317 enodes 0.724 * * [simplify]: iteration 2: 709 enodes 1.042 * * [simplify]: iteration 3: 2259 enodes 2.322 * * [simplify]: iteration complete: 5012 enodes 2.323 * * [simplify]: Extracting #0: cost 89 inf + 0 2.325 * * [simplify]: Extracting #1: cost 456 inf + 3 2.333 * * [simplify]: Extracting #2: cost 795 inf + 9176 2.369 * * [simplify]: Extracting #3: cost 671 inf + 94168 2.422 * * [simplify]: Extracting #4: cost 247 inf + 197335 2.480 * * [simplify]: Extracting #5: cost 85 inf + 232507 2.553 * * [simplify]: Extracting #6: cost 9 inf + 244526 2.640 * * [simplify]: Extracting #7: cost 0 inf + 246803 2.721 * [simplify]: Simplified to: (expm1 (- (/ (+ n f) (- f n)))) (log1p (- (/ (+ n f) (- f n)))) (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))) (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))) (/ (+ (sqrt n) (sqrt f)) (cbrt (- (+ n 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)) (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))) (/ 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))) (* (- f n) (fma (- n f) n (* f f))) (* (- f n) (- f n)) (real->posit16 (- (/ (+ n f) (- f n)))) 1 -1 -1 2.732 * * * [progress]: adding candidates to table 3.057 * * [progress]: iteration 2 / 4 3.057 * * * [progress]: picking best candidate 3.066 * * * * [pick]: Picked # 3.066 * * * [progress]: localizing error 3.104 * * * [progress]: generating rewritten candidates 3.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.152 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 3.165 * * * [progress]: generating series expansions 3.165 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.166 * [backup-simplify]: Simplify (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))) into (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) 3.166 * [approximate]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in (f n) around 0 3.166 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in n 3.166 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in n 3.166 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.166 * [taylor]: Taking taylor expansion of n in n 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.166 * [taylor]: Taking taylor expansion of f in n 3.166 * [backup-simplify]: Simplify f into f 3.166 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in n 3.166 * [taylor]: Taking taylor expansion of (- f n) in n 3.166 * [taylor]: Taking taylor expansion of f in n 3.166 * [backup-simplify]: Simplify f into f 3.166 * [taylor]: Taking taylor expansion of n in n 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify (+ f 0) into f 3.167 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.167 * [backup-simplify]: Simplify (- (pow f 2)) into (- (pow f 2)) 3.167 * [backup-simplify]: Simplify (+ 0 (- (pow f 2))) into (- (pow f 2)) 3.167 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.168 * [backup-simplify]: Simplify (/ (- (pow f 2)) (pow f 2)) into -1 3.168 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 3.168 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 3.168 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.168 * [taylor]: Taking taylor expansion of n in f 3.168 * [backup-simplify]: Simplify n into n 3.168 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.168 * [taylor]: Taking taylor expansion of f in f 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.168 * [taylor]: Taking taylor expansion of (- f n) in f 3.168 * [taylor]: Taking taylor expansion of f in f 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [taylor]: Taking taylor expansion of n in f 3.168 * [backup-simplify]: Simplify n into n 3.168 * [backup-simplify]: Simplify (- n) into (- n) 3.168 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.168 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.168 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 3.168 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.168 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 3.168 * [taylor]: Taking taylor expansion of (/ (- (pow n 2) (pow f 2)) (pow (- f n) 2)) in f 3.169 * [taylor]: Taking taylor expansion of (- (pow n 2) (pow f 2)) in f 3.169 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.169 * [taylor]: Taking taylor expansion of n in f 3.169 * [backup-simplify]: Simplify n into n 3.169 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.169 * [taylor]: Taking taylor expansion of f in f 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [taylor]: Taking taylor expansion of (pow (- f n) 2) in f 3.169 * [taylor]: Taking taylor expansion of (- f n) in f 3.169 * [taylor]: Taking taylor expansion of f in f 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [taylor]: Taking taylor expansion of n in f 3.169 * [backup-simplify]: Simplify n into n 3.169 * [backup-simplify]: Simplify (- n) into (- n) 3.169 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.169 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.169 * [backup-simplify]: Simplify (+ (pow n 2) 0) into (pow n 2) 3.169 * [backup-simplify]: Simplify (* (- n) (- n)) into (pow n 2) 3.170 * [backup-simplify]: Simplify (/ (pow n 2) (pow n 2)) into 1 3.170 * [taylor]: Taking taylor expansion of 1 in n 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.170 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify (+ 1 0) into 1 3.171 * [backup-simplify]: Simplify (+ (* (- n) 1) (* 1 (- n))) into (- (* 2 n)) 3.172 * [backup-simplify]: Simplify (- (/ 0 (pow n 2)) (+ (* 1 (/ (- (* 2 n)) (pow n 2))))) into (* 2 (/ 1 n)) 3.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.172 * [taylor]: Taking taylor expansion of 2 in n 3.172 * [backup-simplify]: Simplify 2 into 2 3.172 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.172 * [taylor]: Taking taylor expansion of n in n 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (/ 1 1) into 1 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.175 * [backup-simplify]: Simplify (* 1 1) into 1 3.175 * [backup-simplify]: Simplify (- 1) into -1 3.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.176 * [backup-simplify]: Simplify (- 0) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 1) (* 0 (- n)))) into 1 3.177 * [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))) 3.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.178 * [taylor]: Taking taylor expansion of 2 in n 3.178 * [backup-simplify]: Simplify 2 into 2 3.178 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.178 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.178 * [taylor]: Taking taylor expansion of n in n 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (* 1 1) into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.183 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.188 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (+ (* (- n) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- n))))) into 0 3.189 * [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))) 3.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.189 * [taylor]: Taking taylor expansion of 2 in n 3.189 * [backup-simplify]: Simplify 2 into 2 3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.189 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.189 * [taylor]: Taking taylor expansion of n in n 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.200 * [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)) 3.200 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in (f n) around 0 3.200 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in n 3.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.200 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.200 * [taylor]: Taking taylor expansion of n in n 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.201 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.201 * [taylor]: Taking taylor expansion of f in n 3.201 * [backup-simplify]: Simplify f into f 3.201 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.201 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.201 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in n 3.201 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.201 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.201 * [taylor]: Taking taylor expansion of f in n 3.201 * [backup-simplify]: Simplify f into f 3.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.201 * [taylor]: Taking taylor expansion of n in n 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.202 * [backup-simplify]: Simplify (/ 1 1) into 1 3.202 * [backup-simplify]: Simplify (- 1) into -1 3.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.203 * [backup-simplify]: Simplify (+ 1 0) into 1 3.204 * [backup-simplify]: Simplify (* -1 -1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.204 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 3.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.204 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.204 * [taylor]: Taking taylor expansion of n in f 3.204 * [backup-simplify]: Simplify n into n 3.204 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.204 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.204 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.204 * [taylor]: Taking taylor expansion of f in f 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (* 1 1) into 1 3.205 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.205 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.205 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.205 * [taylor]: Taking taylor expansion of f in f 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.206 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.206 * [taylor]: Taking taylor expansion of n in f 3.206 * [backup-simplify]: Simplify n into n 3.206 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.206 * [backup-simplify]: Simplify (+ 1 0) into 1 3.207 * [backup-simplify]: Simplify (- 1) into -1 3.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.208 * [backup-simplify]: Simplify (* 1 1) into 1 3.208 * [backup-simplify]: Simplify (/ -1 1) into -1 3.208 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 f) (/ 1 n)) 2)) in f 3.208 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.208 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.208 * [taylor]: Taking taylor expansion of n in f 3.208 * [backup-simplify]: Simplify n into n 3.208 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.209 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.209 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.209 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.209 * [taylor]: Taking taylor expansion of f in f 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.209 * [backup-simplify]: Simplify (* 1 1) into 1 3.209 * [backup-simplify]: Simplify (/ 1 1) into 1 3.210 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 2) in f 3.210 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.210 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.210 * [taylor]: Taking taylor expansion of f in f 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (/ 1 1) into 1 3.210 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.210 * [taylor]: Taking taylor expansion of n in f 3.210 * [backup-simplify]: Simplify n into n 3.210 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.211 * [backup-simplify]: Simplify (+ 1 0) into 1 3.211 * [backup-simplify]: Simplify (- 1) into -1 3.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.213 * [backup-simplify]: Simplify (/ -1 1) into -1 3.213 * [taylor]: Taking taylor expansion of -1 in n 3.213 * [backup-simplify]: Simplify -1 into -1 3.213 * [backup-simplify]: Simplify -1 into -1 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (- 0) into 0 3.215 * [backup-simplify]: Simplify (+ 0 0) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.216 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.216 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 n))) (* (- (/ 1 n)) 1)) into (- (* 2 (/ 1 n))) 3.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 3.217 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.217 * [taylor]: Taking taylor expansion of 2 in n 3.217 * [backup-simplify]: Simplify 2 into 2 3.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.217 * [taylor]: Taking taylor expansion of n in n 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.219 * [backup-simplify]: Simplify (- 0) into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.221 * [backup-simplify]: Simplify (- 0) into 0 3.221 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.223 * [backup-simplify]: Simplify (- 0) into 0 3.223 * [backup-simplify]: Simplify (+ 0 0) into 0 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) (- (/ 1 n))) (* 0 1))) into (/ 1 (pow n 2)) 3.225 * [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)))) 3.225 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.225 * [taylor]: Taking taylor expansion of 2 in n 3.225 * [backup-simplify]: Simplify 2 into 2 3.225 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.225 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.225 * [taylor]: Taking taylor expansion of n in n 3.225 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (* 1 1) into 1 3.226 * [backup-simplify]: Simplify (/ 1 1) into 1 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.230 * [backup-simplify]: Simplify (- 0) into 0 3.230 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.232 * [backup-simplify]: Simplify (- 0) into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (- 0) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.237 * [backup-simplify]: Simplify (- 0) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 (- (/ 1 n))) (* 0 1)))) into 0 3.240 * [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)))) 3.240 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.240 * [taylor]: Taking taylor expansion of 2 in n 3.240 * [backup-simplify]: Simplify 2 into 2 3.240 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.240 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.240 * [taylor]: Taking taylor expansion of n in n 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (* 1 1) into 1 3.241 * [backup-simplify]: Simplify (/ 1 1) into 1 3.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.250 * [backup-simplify]: Simplify (- 0) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify -1 into -1 3.251 * [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)) 3.251 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in (f n) around 0 3.251 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in n 3.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in n 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.251 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.251 * [taylor]: Taking taylor expansion of n in n 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (* 1 1) into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.252 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.252 * [taylor]: Taking taylor expansion of f in n 3.252 * [backup-simplify]: Simplify f into f 3.252 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.252 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.252 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in n 3.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.252 * [taylor]: Taking taylor expansion of n in n 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (/ 1 1) into 1 3.253 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.253 * [taylor]: Taking taylor expansion of f in n 3.253 * [backup-simplify]: Simplify f into f 3.253 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.253 * [backup-simplify]: Simplify (+ 1 0) into 1 3.254 * [backup-simplify]: Simplify (+ 1 0) into 1 3.254 * [backup-simplify]: Simplify (* 1 1) into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.255 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.255 * [taylor]: Taking taylor expansion of n in f 3.255 * [backup-simplify]: Simplify n into n 3.255 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.255 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.255 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.255 * [taylor]: Taking taylor expansion of f in f 3.255 * [backup-simplify]: Simplify 0 into 0 3.255 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (* 1 1) into 1 3.256 * [backup-simplify]: Simplify (/ 1 1) into 1 3.256 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.256 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.256 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.256 * [taylor]: Taking taylor expansion of n in f 3.256 * [backup-simplify]: Simplify n into n 3.256 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.256 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.256 * [taylor]: Taking taylor expansion of f in f 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (/ 1 1) into 1 3.257 * [backup-simplify]: Simplify (- 1) into -1 3.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.258 * [backup-simplify]: Simplify (- 1) into -1 3.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.259 * [backup-simplify]: Simplify (* -1 -1) into 1 3.259 * [backup-simplify]: Simplify (/ -1 1) into -1 3.259 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) (pow (- (/ 1 n) (/ 1 f)) 2)) in f 3.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2)) (/ 1 (pow f 2))) in f 3.259 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.259 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.259 * [taylor]: Taking taylor expansion of n in f 3.259 * [backup-simplify]: Simplify n into n 3.259 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.259 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.259 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.259 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.259 * [taylor]: Taking taylor expansion of f in f 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.260 * [backup-simplify]: Simplify (/ 1 1) into 1 3.260 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 2) in f 3.260 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.260 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.260 * [taylor]: Taking taylor expansion of n in f 3.260 * [backup-simplify]: Simplify n into n 3.260 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.260 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.261 * [taylor]: Taking taylor expansion of f in f 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify (- 1) into -1 3.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.262 * [backup-simplify]: Simplify (- 1) into -1 3.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.263 * [backup-simplify]: Simplify (* -1 -1) into 1 3.263 * [backup-simplify]: Simplify (/ -1 1) into -1 3.263 * [taylor]: Taking taylor expansion of -1 in n 3.263 * [backup-simplify]: Simplify -1 into -1 3.263 * [backup-simplify]: Simplify -1 into -1 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (- 0) into 0 3.267 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.267 * [backup-simplify]: Simplify (+ (* -1 (/ 1 n)) (* (/ 1 n) -1)) into (- (* 2 (/ 1 n))) 3.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 3.268 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.268 * [taylor]: Taking taylor expansion of 2 in n 3.268 * [backup-simplify]: Simplify 2 into 2 3.268 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.268 * [taylor]: Taking taylor expansion of n in n 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (/ 1 1) into 1 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.274 * [backup-simplify]: Simplify (- 0) into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (- 0) into 0 3.276 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) 0) into (/ 1 (pow n 2)) 3.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 -1))) into (/ 1 (pow n 2)) 3.279 * [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)))) 3.279 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.279 * [taylor]: Taking taylor expansion of 2 in n 3.279 * [backup-simplify]: Simplify 2 into 2 3.279 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.279 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.279 * [taylor]: Taking taylor expansion of n in n 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 1 into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.280 * [backup-simplify]: Simplify (/ 1 1) into 1 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.285 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.287 * [backup-simplify]: Simplify (- 0) into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (- 0) into 0 3.290 * [backup-simplify]: Simplify (+ 0 0) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (- 0) into 0 3.292 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 -1)))) into 0 3.294 * [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)))) 3.294 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.294 * [taylor]: Taking taylor expansion of 2 in n 3.294 * [backup-simplify]: Simplify 2 into 2 3.294 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.294 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.294 * [taylor]: Taking taylor expansion of n in n 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.295 * [backup-simplify]: Simplify (* 1 1) into 1 3.296 * [backup-simplify]: Simplify (/ 1 1) into 1 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (- 0) into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify -1 into -1 3.305 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 3.305 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 3.305 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 3.305 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 3.305 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.305 * [taylor]: Taking taylor expansion of f in n 3.305 * [backup-simplify]: Simplify f into f 3.305 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.306 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.306 * [taylor]: Taking taylor expansion of f in f 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.306 * [taylor]: Taking taylor expansion of n in f 3.306 * [backup-simplify]: Simplify n into n 3.306 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.306 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.306 * [taylor]: Taking taylor expansion of f in f 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.306 * [taylor]: Taking taylor expansion of n in f 3.306 * [backup-simplify]: Simplify n into n 3.306 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.307 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.307 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.307 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 3.307 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.307 * [taylor]: Taking taylor expansion of n in n 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.308 * [backup-simplify]: Simplify (+ 0 0) into 0 3.308 * [taylor]: Taking taylor expansion of 0 in n 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.309 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.309 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 1 0) into 1 3.310 * [taylor]: Taking taylor expansion of 1 in n 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (* 1 1) into 1 3.311 * [backup-simplify]: Simplify (- 1) into -1 3.311 * [backup-simplify]: Simplify -1 into -1 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.312 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.313 * [backup-simplify]: Simplify (- 0) into 0 3.313 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [taylor]: Taking taylor expansion of 0 in n 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.314 * [backup-simplify]: Simplify (- 0) into 0 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.316 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 3.317 * [backup-simplify]: Simplify (- 0) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [taylor]: Taking taylor expansion of 0 in n 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 3.318 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.318 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.318 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.318 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.318 * [taylor]: Taking taylor expansion of f in n 3.318 * [backup-simplify]: Simplify f into f 3.318 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.318 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.318 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.318 * [taylor]: Taking taylor expansion of n in n 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (* 1 1) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.319 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.319 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.319 * [taylor]: Taking taylor expansion of f in f 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (* 1 1) into 1 3.320 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.320 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.320 * [taylor]: Taking taylor expansion of n in f 3.320 * [backup-simplify]: Simplify n into n 3.320 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.320 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.320 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.320 * [taylor]: Taking taylor expansion of f in f 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (* 1 1) into 1 3.321 * [backup-simplify]: Simplify (/ 1 1) into 1 3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.321 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.321 * [taylor]: Taking taylor expansion of n in f 3.321 * [backup-simplify]: Simplify n into n 3.321 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.321 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.322 * [backup-simplify]: Simplify (+ 1 0) into 1 3.322 * [taylor]: Taking taylor expansion of 1 in n 3.322 * [backup-simplify]: Simplify 1 into 1 3.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [taylor]: Taking taylor expansion of 0 in n 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.326 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.326 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.326 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.326 * [taylor]: Taking taylor expansion of n in n 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (/ 1 1) into 1 3.327 * [backup-simplify]: Simplify (- 1) into -1 3.327 * [backup-simplify]: Simplify -1 into -1 3.328 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.330 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.330 * [backup-simplify]: Simplify (- 0) into 0 3.331 * [backup-simplify]: Simplify (+ 0 0) into 0 3.331 * [taylor]: Taking taylor expansion of 0 in n 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (- 0) into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.336 * [backup-simplify]: Simplify (- 0) into 0 3.337 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [taylor]: Taking taylor expansion of 0 in n 3.337 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (- 0) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 3.340 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.340 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.340 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.340 * [taylor]: Taking taylor expansion of f in n 3.340 * [backup-simplify]: Simplify f into f 3.340 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.340 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.340 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.340 * [taylor]: Taking taylor expansion of n in n 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (* 1 1) into 1 3.341 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.342 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.342 * [taylor]: Taking taylor expansion of f in f 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (* 1 1) into 1 3.343 * [backup-simplify]: Simplify (/ 1 1) into 1 3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.343 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.343 * [taylor]: Taking taylor expansion of n in f 3.343 * [backup-simplify]: Simplify n into n 3.343 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.343 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.343 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.343 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.343 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.343 * [taylor]: Taking taylor expansion of f in f 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.344 * [backup-simplify]: Simplify (/ 1 1) into 1 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.344 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.344 * [taylor]: Taking taylor expansion of n in f 3.344 * [backup-simplify]: Simplify n into n 3.345 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.345 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.345 * [backup-simplify]: Simplify (+ 1 0) into 1 3.345 * [taylor]: Taking taylor expansion of 1 in n 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [taylor]: Taking taylor expansion of 0 in n 3.347 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.350 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.350 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.350 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.350 * [taylor]: Taking taylor expansion of n in n 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [backup-simplify]: Simplify (- 1) into -1 3.351 * [backup-simplify]: Simplify -1 into -1 3.351 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.354 * [backup-simplify]: Simplify (- 0) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [taylor]: Taking taylor expansion of 0 in n 3.355 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (- 0) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [taylor]: Taking taylor expansion of 0 in n 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 3.364 * * * [progress]: simplifying candidates 3.364 * * * * [progress]: [ 1 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 2 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 3 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 4 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 5 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 6 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 7 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 8 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 9 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 10 / 78 ] simplifiying candidate # 3.364 * * * * [progress]: [ 11 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 12 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 13 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 14 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 15 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 16 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 17 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 18 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 19 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 20 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 21 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 22 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 23 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 24 / 78 ] simplifiying candidate # 3.365 * * * * [progress]: [ 25 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 26 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 27 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 28 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 29 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 30 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 31 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 32 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 33 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 34 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 35 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 36 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 37 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 38 / 78 ] simplifiying candidate # 3.366 * * * * [progress]: [ 39 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 40 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 41 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 42 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 43 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 44 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 45 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 46 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 47 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 48 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 49 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 50 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 51 / 78 ] simplifiying candidate # 3.367 * * * * [progress]: [ 52 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 53 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 54 / 78 ] simplifiying candidate #real (real->posit16 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n))))))> 3.368 * * * * [progress]: [ 55 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 56 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 57 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 58 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 59 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 60 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 61 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 62 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 63 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 64 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 65 / 78 ] simplifiying candidate # 3.368 * * * * [progress]: [ 66 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 67 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 68 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 69 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 70 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 71 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 72 / 78 ] simplifiying candidate #real (real->posit16 (- (* f f) (* n n))))) (* (- f n) (- f n))))> 3.369 * * * * [progress]: [ 73 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 74 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 75 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 76 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 77 / 78 ] simplifiying candidate # 3.369 * * * * [progress]: [ 78 / 78 ] simplifiying candidate # 3.371 * [simplify]: Simplifying: (expm1 (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (log1p (/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))) (- (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)))) (fma f f (- (* n n))) (fma (- n) n (* n n)) (expm1 (- (* f f) (* n n))) (log1p (- (* f f) (* n n))) (- (* n n)) (/ (exp (* f f)) (exp (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (* (* (- (* f f) (* n n)) (- (* f f) (* n n))) (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (+ (* (* f f) (* f f)) (+ (* (* n n) (* n n)) (* (* f f) (* n n)))) (- (* n n)) (- (* (* f f) (* f f)) (* (* n n) (* n n))) (+ (* f f) (* n n)) (+ f n) (- f n) (- (* n n)) (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)) 3.374 * * [simplify]: iteration 0: 131 enodes 3.436 * * [simplify]: iteration 1: 330 enodes 3.572 * * [simplify]: iteration 2: 1196 enodes 4.256 * * [simplify]: iteration complete: 5002 enodes 4.256 * * [simplify]: Extracting #0: cost 62 inf + 0 4.258 * * [simplify]: Extracting #1: cost 562 inf + 3 4.267 * * [simplify]: Extracting #2: cost 1539 inf + 5701 4.326 * * [simplify]: Extracting #3: cost 1206 inf + 166557 4.461 * * [simplify]: Extracting #4: cost 216 inf + 389686 4.616 * * [simplify]: Extracting #5: cost 15 inf + 415481 4.745 * * [simplify]: Extracting #6: cost 0 inf + 418738 4.866 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (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 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))) (/ -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) (cbrt (- (* (+ f n) (- 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)) (/ (* (- 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) (- (/ (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) (/ (/ (- (fma (- n) n (* f f))) (fma f (* f f) (* (* (- n) n) n))) (fma 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)) (* (* (fma (* n n) (* n n) (* (* f f) (fma n n (* f f)))) (- f n)) (- f n)) (* (* (- f n) (- f n)) (fma n n (* f f))) (real->posit16 (/ (- (+ f n)) (- f n))) (* (+ f n) (- f n)) (fma n n (* (- n) n)) (expm1 (* (+ f n) (- f n))) (log1p (* (+ f n) (- f n))) (* (- n) n) (exp (* (+ f n) (- f n))) (log (* (+ f n) (- f n))) (exp (* (+ f n) (- f n))) (* (cbrt (* (+ f n) (- f n))) (cbrt (* (+ f n) (- f n)))) (cbrt (* (+ f n) (- f n))) (* (* (+ f n) (- f n)) (* (* (+ f n) (- f n)) (* (+ f n) (- f n)))) (sqrt (* (+ f n) (- f n))) (sqrt (* (+ f n) (- f n))) (- (* (* (* f f) (* f f)) (* f f)) (* (* (* n n) n) (* (* n n) n))) (fma (* n n) (* n n) (* (* f f) (fma n n (* f f)))) (* (- n) n) (* (+ (* f f) (* n n)) (- (* f f) (* n n))) (fma 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)) 4.874 * * * [progress]: adding candidates to table 5.158 * * [progress]: iteration 3 / 4 5.158 * * * [progress]: picking best candidate 5.161 * * * * [pick]: Picked # 5.161 * * * [progress]: localizing error 5.178 * * * [progress]: generating rewritten candidates 5.178 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.270 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.303 * * * [progress]: generating series expansions 5.303 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.303 * [backup-simplify]: Simplify (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n))) into (* -1 (/ (+ n f) (- f n))) 5.303 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.303 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.303 * [taylor]: Taking taylor expansion of -1 in n 5.303 * [backup-simplify]: Simplify -1 into -1 5.303 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.303 * [taylor]: Taking taylor expansion of (+ n f) in n 5.303 * [taylor]: Taking taylor expansion of n in n 5.303 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [taylor]: Taking taylor expansion of f in n 5.304 * [backup-simplify]: Simplify f into f 5.304 * [taylor]: Taking taylor expansion of (- f n) in n 5.304 * [taylor]: Taking taylor expansion of f in n 5.304 * [backup-simplify]: Simplify f into f 5.304 * [taylor]: Taking taylor expansion of n in n 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (+ 0 f) into f 5.304 * [backup-simplify]: Simplify (- 0) into 0 5.305 * [backup-simplify]: Simplify (+ f 0) into f 5.305 * [backup-simplify]: Simplify (/ f f) into 1 5.305 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.305 * [taylor]: Taking taylor expansion of -1 in f 5.305 * [backup-simplify]: Simplify -1 into -1 5.305 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.305 * [taylor]: Taking taylor expansion of (+ n f) in f 5.305 * [taylor]: Taking taylor expansion of n in f 5.305 * [backup-simplify]: Simplify n into n 5.305 * [taylor]: Taking taylor expansion of f in f 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of (- f n) in f 5.305 * [taylor]: Taking taylor expansion of f in f 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of n in f 5.305 * [backup-simplify]: Simplify n into n 5.305 * [backup-simplify]: Simplify (+ n 0) into n 5.305 * [backup-simplify]: Simplify (- n) into (- n) 5.305 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.305 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.305 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.305 * [taylor]: Taking taylor expansion of -1 in f 5.305 * [backup-simplify]: Simplify -1 into -1 5.305 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.305 * [taylor]: Taking taylor expansion of (+ n f) in f 5.305 * [taylor]: Taking taylor expansion of n in f 5.305 * [backup-simplify]: Simplify n into n 5.305 * [taylor]: Taking taylor expansion of f in f 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [taylor]: Taking taylor expansion of (- f n) in f 5.306 * [taylor]: Taking taylor expansion of f in f 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [taylor]: Taking taylor expansion of n in f 5.306 * [backup-simplify]: Simplify n into n 5.306 * [backup-simplify]: Simplify (+ n 0) into n 5.306 * [backup-simplify]: Simplify (- n) into (- n) 5.306 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.306 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.307 * [backup-simplify]: Simplify (* -1 -1) into 1 5.307 * [taylor]: Taking taylor expansion of 1 in n 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (+ 0 1) into 1 5.308 * [backup-simplify]: Simplify (- 0) into 0 5.308 * [backup-simplify]: Simplify (+ 1 0) into 1 5.308 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.309 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.309 * [taylor]: Taking taylor expansion of 2 in n 5.309 * [backup-simplify]: Simplify 2 into 2 5.309 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.309 * [taylor]: Taking taylor expansion of n in n 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 1 into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.312 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.312 * [backup-simplify]: Simplify (- 0) into 0 5.313 * [backup-simplify]: Simplify (+ 0 0) into 0 5.313 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.314 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.314 * [taylor]: Taking taylor expansion of 2 in n 5.314 * [backup-simplify]: Simplify 2 into 2 5.314 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.314 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (* 1 1) into 1 5.315 * [backup-simplify]: Simplify (/ 1 1) into 1 5.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.319 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.322 * [backup-simplify]: Simplify (- 0) into 0 5.322 * [backup-simplify]: Simplify (+ 0 0) into 0 5.322 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.323 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.323 * [taylor]: Taking taylor expansion of 2 in n 5.323 * [backup-simplify]: Simplify 2 into 2 5.323 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.323 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.323 * [taylor]: Taking taylor expansion of n in n 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.324 * [backup-simplify]: Simplify (* 1 1) into 1 5.324 * [backup-simplify]: Simplify (* 1 1) into 1 5.324 * [backup-simplify]: Simplify (/ 1 1) into 1 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.333 * [backup-simplify]: Simplify 0 into 0 5.333 * [backup-simplify]: Simplify 1 into 1 5.334 * [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)))) 5.334 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.334 * [taylor]: Taking taylor expansion of -1 in n 5.334 * [backup-simplify]: Simplify -1 into -1 5.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.334 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.334 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.334 * [taylor]: Taking taylor expansion of f in n 5.334 * [backup-simplify]: Simplify f into f 5.334 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.334 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.334 * [taylor]: Taking taylor expansion of n in n 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify 1 into 1 5.335 * [backup-simplify]: Simplify (/ 1 1) into 1 5.335 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.335 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.335 * [taylor]: Taking taylor expansion of f in n 5.335 * [backup-simplify]: Simplify f into f 5.335 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.335 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.335 * [taylor]: Taking taylor expansion of n in n 5.335 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify 1 into 1 5.335 * [backup-simplify]: Simplify (/ 1 1) into 1 5.336 * [backup-simplify]: Simplify (+ 0 1) into 1 5.336 * [backup-simplify]: Simplify (- 1) into -1 5.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.337 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.337 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.337 * [taylor]: Taking taylor expansion of -1 in f 5.337 * [backup-simplify]: Simplify -1 into -1 5.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.337 * [taylor]: Taking taylor expansion of f in f 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify 1 into 1 5.338 * [backup-simplify]: Simplify (/ 1 1) into 1 5.338 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.338 * [taylor]: Taking taylor expansion of n in f 5.338 * [backup-simplify]: Simplify n into n 5.338 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.338 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.338 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.338 * [taylor]: Taking taylor expansion of f in f 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify 1 into 1 5.338 * [backup-simplify]: Simplify (/ 1 1) into 1 5.338 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.338 * [taylor]: Taking taylor expansion of n in f 5.338 * [backup-simplify]: Simplify n into n 5.338 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.339 * [backup-simplify]: Simplify (+ 1 0) into 1 5.339 * [backup-simplify]: Simplify (+ 1 0) into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.340 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.340 * [taylor]: Taking taylor expansion of -1 in f 5.340 * [backup-simplify]: Simplify -1 into -1 5.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.340 * [taylor]: Taking taylor expansion of f in f 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.340 * [taylor]: Taking taylor expansion of n in f 5.340 * [backup-simplify]: Simplify n into n 5.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.340 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.340 * [taylor]: Taking taylor expansion of f in f 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.341 * [taylor]: Taking taylor expansion of n in f 5.341 * [backup-simplify]: Simplify n into n 5.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.341 * [backup-simplify]: Simplify (+ 1 0) into 1 5.342 * [backup-simplify]: Simplify (+ 1 0) into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.343 * [backup-simplify]: Simplify (* -1 1) into -1 5.343 * [taylor]: Taking taylor expansion of -1 in n 5.343 * [backup-simplify]: Simplify -1 into -1 5.343 * [backup-simplify]: Simplify -1 into -1 5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.345 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.345 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.345 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.345 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.345 * [taylor]: Taking taylor expansion of 2 in n 5.346 * [backup-simplify]: Simplify 2 into 2 5.346 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.346 * [taylor]: Taking taylor expansion of n in n 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.348 * [backup-simplify]: Simplify (- 0) into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.349 * [backup-simplify]: Simplify (+ 0 0) into 0 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.351 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify (+ 0 0) into 0 5.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.353 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.353 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.353 * [taylor]: Taking taylor expansion of 2 in n 5.353 * [backup-simplify]: Simplify 2 into 2 5.353 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.353 * [taylor]: Taking taylor expansion of n in n 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (* 1 1) into 1 5.354 * [backup-simplify]: Simplify (/ 1 1) into 1 5.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.359 * [backup-simplify]: Simplify (- 0) into 0 5.359 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.361 * [backup-simplify]: Simplify (- 0) into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.365 * [backup-simplify]: Simplify (- 0) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.368 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.368 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.368 * [taylor]: Taking taylor expansion of 2 in n 5.368 * [backup-simplify]: Simplify 2 into 2 5.368 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.368 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.368 * [taylor]: Taking taylor expansion of n in n 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [backup-simplify]: Simplify (* 1 1) into 1 5.369 * [backup-simplify]: Simplify (* 1 1) into 1 5.369 * [backup-simplify]: Simplify (/ 1 1) into 1 5.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.378 * [backup-simplify]: Simplify (- 0) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify -1 into -1 5.379 * [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)))) 5.379 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.379 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in n 5.379 * [taylor]: Taking taylor expansion of -1 in n 5.379 * [backup-simplify]: Simplify -1 into -1 5.379 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in n 5.379 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in n 5.379 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.379 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.379 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.379 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.379 * [taylor]: Taking taylor expansion of f in n 5.379 * [backup-simplify]: Simplify f into f 5.379 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.379 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.379 * [taylor]: Taking taylor expansion of n in n 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (/ 1 1) into 1 5.380 * [backup-simplify]: Simplify (+ 0 1) into 1 5.381 * [backup-simplify]: Simplify (- 1) into -1 5.381 * [backup-simplify]: Simplify (sqrt 0) into 0 5.382 * [backup-simplify]: Simplify (- 1) into -1 5.383 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.383 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.383 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.383 * [taylor]: Taking taylor expansion of n in n 5.383 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 1 into 1 5.384 * [backup-simplify]: Simplify (/ 1 1) into 1 5.384 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.384 * [taylor]: Taking taylor expansion of f in n 5.384 * [backup-simplify]: Simplify f into f 5.384 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.384 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.385 * [backup-simplify]: Simplify (+ 1 0) into 1 5.385 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 5.385 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 5.385 * [taylor]: Taking taylor expansion of -1 in f 5.385 * [backup-simplify]: Simplify -1 into -1 5.385 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 5.385 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 5.386 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.386 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.386 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.386 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.386 * [taylor]: Taking taylor expansion of f in f 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.386 * [taylor]: Taking taylor expansion of n in f 5.386 * [backup-simplify]: Simplify n into n 5.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.387 * [backup-simplify]: Simplify (+ 1 0) into 1 5.387 * [backup-simplify]: Simplify (- 1) into -1 5.387 * [backup-simplify]: Simplify (sqrt 0) into 0 5.388 * [backup-simplify]: Simplify (- 1) into -1 5.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.389 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.389 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.389 * [taylor]: Taking taylor expansion of n in f 5.389 * [backup-simplify]: Simplify n into n 5.390 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.390 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.390 * [taylor]: Taking taylor expansion of f in f 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (/ 1 1) into 1 5.390 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.391 * [backup-simplify]: Simplify (- 1) into -1 5.391 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.392 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.392 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f)))) in f 5.392 * [taylor]: Taking taylor expansion of -1 in f 5.392 * [backup-simplify]: Simplify -1 into -1 5.392 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) (- (/ 1 n) (/ 1 f))) in f 5.392 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 f) (/ 1 n)))) 2) in f 5.392 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.392 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.392 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.392 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.392 * [taylor]: Taking taylor expansion of f in f 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (/ 1 1) into 1 5.393 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.393 * [taylor]: Taking taylor expansion of n in f 5.393 * [backup-simplify]: Simplify n into n 5.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.393 * [backup-simplify]: Simplify (+ 1 0) into 1 5.394 * [backup-simplify]: Simplify (- 1) into -1 5.394 * [backup-simplify]: Simplify (sqrt 0) into 0 5.394 * [backup-simplify]: Simplify (- 1) into -1 5.396 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.396 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.396 * [taylor]: Taking taylor expansion of n in f 5.396 * [backup-simplify]: Simplify n into n 5.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.396 * [taylor]: Taking taylor expansion of f in f 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (/ 1 1) into 1 5.397 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.397 * [backup-simplify]: Simplify (- 1) into -1 5.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.398 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.399 * [backup-simplify]: Simplify (* -1 +nan.0) into +nan.0 5.399 * [taylor]: Taking taylor expansion of +nan.0 in n 5.399 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.399 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.400 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.401 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.402 * [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))))) 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (- 0) into 0 5.403 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.403 * [backup-simplify]: Simplify (- (/ (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.404 * [backup-simplify]: Simplify (+ (* -1 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (* 0 +nan.0)) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.404 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.404 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.404 * [taylor]: Taking taylor expansion of +nan.0 in n 5.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.404 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.404 * [taylor]: Taking taylor expansion of +nan.0 in n 5.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.404 * [taylor]: Taking taylor expansion of n in n 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (/ 1 1) into 1 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.408 * [backup-simplify]: Simplify (- 0) into 0 5.408 * [backup-simplify]: Simplify (+ 0 0) into 0 5.408 * [backup-simplify]: Simplify (- 0) into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.410 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (- 0) into 0 5.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.411 * [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))))))) 5.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (- 0) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.413 * [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))))))) 5.414 * [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))))))) 5.414 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 5.414 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 5.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.414 * [taylor]: Taking taylor expansion of +nan.0 in n 5.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.414 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.414 * [taylor]: Taking taylor expansion of n in n 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 1 into 1 5.414 * [backup-simplify]: Simplify (* 1 1) into 1 5.414 * [backup-simplify]: Simplify (/ 1 1) into 1 5.414 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.415 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.415 * [taylor]: Taking taylor expansion of +nan.0 in n 5.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.415 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.415 * [taylor]: Taking taylor expansion of +nan.0 in n 5.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.421 * [backup-simplify]: Simplify (- 0) into 0 5.421 * [backup-simplify]: Simplify (+ 0 0) into 0 5.422 * [backup-simplify]: Simplify (- 0) into 0 5.422 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [backup-simplify]: Simplify (- 0) into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (- 0) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (- 0) into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.428 * [backup-simplify]: Simplify (/ (sqrt (+ f n)) (- f n)) into (* (/ 1 (- f n)) (sqrt (+ n f))) 5.428 * [approximate]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in (f n) around 0 5.428 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in n 5.428 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 5.428 * [taylor]: Taking taylor expansion of (- f n) in n 5.428 * [taylor]: Taking taylor expansion of f in n 5.428 * [backup-simplify]: Simplify f into f 5.428 * [taylor]: Taking taylor expansion of n in n 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (- 0) into 0 5.428 * [backup-simplify]: Simplify (+ f 0) into f 5.428 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.428 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 5.428 * [taylor]: Taking taylor expansion of (+ n f) in n 5.428 * [taylor]: Taking taylor expansion of n in n 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [taylor]: Taking taylor expansion of f in n 5.429 * [backup-simplify]: Simplify f into f 5.429 * [backup-simplify]: Simplify (+ 0 f) into f 5.429 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 5.429 * [backup-simplify]: Simplify (+ 1 0) into 1 5.429 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 5.429 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in f 5.429 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.429 * [taylor]: Taking taylor expansion of (- f n) in f 5.429 * [taylor]: Taking taylor expansion of f in f 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [taylor]: Taking taylor expansion of n in f 5.429 * [backup-simplify]: Simplify n into n 5.429 * [backup-simplify]: Simplify (- n) into (- n) 5.429 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.429 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.429 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.429 * [taylor]: Taking taylor expansion of (+ n f) in f 5.429 * [taylor]: Taking taylor expansion of n in f 5.429 * [backup-simplify]: Simplify n into n 5.429 * [taylor]: Taking taylor expansion of f in f 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify (+ n 0) into n 5.429 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.430 * [backup-simplify]: Simplify (+ 0 1) into 1 5.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.430 * [taylor]: Taking taylor expansion of (* (/ 1 (- f n)) (sqrt (+ n f))) in f 5.430 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 5.430 * [taylor]: Taking taylor expansion of (- f n) in f 5.430 * [taylor]: Taking taylor expansion of f in f 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [taylor]: Taking taylor expansion of n in f 5.430 * [backup-simplify]: Simplify n into n 5.430 * [backup-simplify]: Simplify (- n) into (- n) 5.430 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.430 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 5.430 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.430 * [taylor]: Taking taylor expansion of (+ n f) in f 5.430 * [taylor]: Taking taylor expansion of n in f 5.430 * [backup-simplify]: Simplify n into n 5.430 * [taylor]: Taking taylor expansion of f in f 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify (+ n 0) into n 5.430 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.430 * [backup-simplify]: Simplify (+ 0 1) into 1 5.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.431 * [backup-simplify]: Simplify (* (/ -1 n) (sqrt n)) into (* -1 (sqrt (/ 1 n))) 5.431 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 n))) in n 5.431 * [taylor]: Taking taylor expansion of -1 in n 5.431 * [backup-simplify]: Simplify -1 into -1 5.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.431 * [taylor]: Taking taylor expansion of n in n 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify 1 into 1 5.431 * [backup-simplify]: Simplify (/ 1 1) into 1 5.431 * [backup-simplify]: Simplify (sqrt 0) into 0 5.432 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.433 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (* 0 0)) into (- +nan.0) 5.433 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.433 * [backup-simplify]: Simplify (- 0) into 0 5.434 * [backup-simplify]: Simplify (+ 1 0) into 1 5.434 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 5.434 * [backup-simplify]: Simplify (+ (* (/ -1 n) (* 1/2 (sqrt (/ 1 n)))) (* (- (/ 1 (pow n 2))) (sqrt n))) into (- (* 3/2 (sqrt (/ 1 (pow n 3))))) 5.434 * [taylor]: Taking taylor expansion of (- (* 3/2 (sqrt (/ 1 (pow n 3))))) in n 5.434 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt (/ 1 (pow n 3)))) in n 5.434 * [taylor]: Taking taylor expansion of 3/2 in n 5.434 * [backup-simplify]: Simplify 3/2 into 3/2 5.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 5.434 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.434 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.434 * [taylor]: Taking taylor expansion of n in n 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (* 1 1) into 1 5.435 * [backup-simplify]: Simplify (* 1 1) into 1 5.435 * [backup-simplify]: Simplify (/ 1 1) into 1 5.435 * [backup-simplify]: Simplify (sqrt 0) into 0 5.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.440 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.441 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.441 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.446 * [backup-simplify]: Simplify (+ (* -1 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.446 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.447 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* n 1)) (+ (* (- +nan.0) (* 1 f)) (- +nan.0))) into (- (+ (* +nan.0 n) (- (+ (* +nan.0 f) (- +nan.0))))) 5.448 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) 5.448 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.448 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in n 5.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 5.448 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.448 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.448 * [taylor]: Taking taylor expansion of f in n 5.448 * [backup-simplify]: Simplify f into f 5.448 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.448 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.448 * [taylor]: Taking taylor expansion of n in n 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (/ 1 1) into 1 5.449 * [backup-simplify]: Simplify (+ 0 1) into 1 5.449 * [backup-simplify]: Simplify (sqrt 0) into 0 5.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.451 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 5.451 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.451 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.451 * [taylor]: Taking taylor expansion of f in n 5.451 * [backup-simplify]: Simplify f into f 5.451 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.451 * [taylor]: Taking taylor expansion of n in n 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (/ 1 1) into 1 5.452 * [backup-simplify]: Simplify (- 1) into -1 5.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.453 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.453 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in f 5.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.453 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.453 * [taylor]: Taking taylor expansion of f in f 5.453 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (/ 1 1) into 1 5.453 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.453 * [taylor]: Taking taylor expansion of n in f 5.453 * [backup-simplify]: Simplify n into n 5.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.454 * [backup-simplify]: Simplify (+ 1 0) into 1 5.454 * [backup-simplify]: Simplify (sqrt 0) into 0 5.455 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.455 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.455 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.455 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.455 * [taylor]: Taking taylor expansion of f in f 5.455 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (/ 1 1) into 1 5.456 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.456 * [taylor]: Taking taylor expansion of n in f 5.456 * [backup-simplify]: Simplify n into n 5.456 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.456 * [backup-simplify]: Simplify (+ 1 0) into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 f) (/ 1 n))) (/ 1 (- (/ 1 f) (/ 1 n)))) in f 5.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.457 * [taylor]: Taking taylor expansion of f in f 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.457 * [taylor]: Taking taylor expansion of n in f 5.457 * [backup-simplify]: Simplify n into n 5.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.458 * [backup-simplify]: Simplify (+ 1 0) into 1 5.458 * [backup-simplify]: Simplify (sqrt 0) into 0 5.460 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.460 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 5.460 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.460 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.460 * [taylor]: Taking taylor expansion of f in f 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.460 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.460 * [taylor]: Taking taylor expansion of n in f 5.460 * [backup-simplify]: Simplify n into n 5.460 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.461 * [backup-simplify]: Simplify (+ 1 0) into 1 5.461 * [backup-simplify]: Simplify (/ 1 1) into 1 5.462 * [backup-simplify]: Simplify (* 0 1) into 0 5.462 * [taylor]: Taking taylor expansion of 0 in n 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.463 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 5.463 * [backup-simplify]: Simplify (+ (* 0 (/ 1 n)) (* +nan.0 1)) into (- +nan.0) 5.463 * [taylor]: Taking taylor expansion of (- +nan.0) in n 5.463 * [taylor]: Taking taylor expansion of +nan.0 in n 5.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.464 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.465 * [backup-simplify]: Simplify (- 0) into 0 5.466 * [backup-simplify]: Simplify (+ 0 0) into 0 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.467 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.469 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 5.469 * [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))))) 5.469 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.469 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.469 * [taylor]: Taking taylor expansion of +nan.0 in n 5.469 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.469 * [taylor]: Taking taylor expansion of +nan.0 in n 5.469 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.469 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.469 * [taylor]: Taking taylor expansion of n in n 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 5.472 * [backup-simplify]: Simplify (- 0) into 0 5.472 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 5.473 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.473 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.474 * [backup-simplify]: Simplify (- 0) into 0 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.475 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 3)) 5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.480 * [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))))))) 5.480 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 5.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 5.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.480 * [taylor]: Taking taylor expansion of +nan.0 in n 5.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.480 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.480 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.480 * [taylor]: Taking taylor expansion of n in n 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (* 1 1) into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.481 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.481 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.481 * [taylor]: Taking taylor expansion of +nan.0 in n 5.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.481 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.481 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.481 * [taylor]: Taking taylor expansion of +nan.0 in n 5.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.481 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.481 * [taylor]: Taking taylor expansion of n in n 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 5.487 * [backup-simplify]: Simplify (- 0) into 0 5.488 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 5.489 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.490 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.490 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 5.491 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.493 * [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)))))))) 5.493 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) 5.493 * [approximate]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.493 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in n 5.493 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.493 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.493 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.493 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.493 * [taylor]: Taking taylor expansion of f in n 5.493 * [backup-simplify]: Simplify f into f 5.493 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.493 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.493 * [taylor]: Taking taylor expansion of n in n 5.493 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify 1 into 1 5.494 * [backup-simplify]: Simplify (/ 1 1) into 1 5.494 * [backup-simplify]: Simplify (+ 0 1) into 1 5.495 * [backup-simplify]: Simplify (- 1) into -1 5.495 * [backup-simplify]: Simplify (sqrt 0) into 0 5.495 * [backup-simplify]: Simplify (- 1) into -1 5.497 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.497 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.497 * [taylor]: Taking taylor expansion of n in n 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify (/ 1 1) into 1 5.497 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.497 * [taylor]: Taking taylor expansion of f in n 5.497 * [backup-simplify]: Simplify f into f 5.497 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.498 * [backup-simplify]: Simplify (+ 1 0) into 1 5.498 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 5.498 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 5.498 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.498 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.498 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.498 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.498 * [taylor]: Taking taylor expansion of f in f 5.498 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify 1 into 1 5.499 * [backup-simplify]: Simplify (/ 1 1) into 1 5.499 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.499 * [taylor]: Taking taylor expansion of n in f 5.499 * [backup-simplify]: Simplify n into n 5.499 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.499 * [backup-simplify]: Simplify (+ 1 0) into 1 5.500 * [backup-simplify]: Simplify (- 1) into -1 5.500 * [backup-simplify]: Simplify (sqrt 0) into 0 5.500 * [backup-simplify]: Simplify (- 1) into -1 5.502 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.502 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.502 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.502 * [taylor]: Taking taylor expansion of n in f 5.502 * [backup-simplify]: Simplify n into n 5.502 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.502 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.502 * [taylor]: Taking taylor expansion of f in f 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (/ 1 1) into 1 5.503 * [backup-simplify]: Simplify (- 1) into -1 5.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.503 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.504 * [taylor]: Taking taylor expansion of (/ (sqrt (- (+ (/ 1 f) (/ 1 n)))) (- (/ 1 n) (/ 1 f))) in f 5.504 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.504 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.504 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.504 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.504 * [taylor]: Taking taylor expansion of f in f 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (/ 1 1) into 1 5.504 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.504 * [taylor]: Taking taylor expansion of n in f 5.504 * [backup-simplify]: Simplify n into n 5.504 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.505 * [backup-simplify]: Simplify (+ 1 0) into 1 5.505 * [backup-simplify]: Simplify (- 1) into -1 5.505 * [backup-simplify]: Simplify (sqrt 0) into 0 5.506 * [backup-simplify]: Simplify (- 1) into -1 5.507 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.507 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.507 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.507 * [taylor]: Taking taylor expansion of n in f 5.507 * [backup-simplify]: Simplify n into n 5.507 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.507 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.507 * [taylor]: Taking taylor expansion of f in f 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.508 * [backup-simplify]: Simplify (/ 1 1) into 1 5.508 * [backup-simplify]: Simplify (- 1) into -1 5.508 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.509 * [backup-simplify]: Simplify (/ +nan.0 -1) into +nan.0 5.509 * [taylor]: Taking taylor expansion of +nan.0 in n 5.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.509 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.510 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.511 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.513 * [backup-simplify]: Simplify (- (/ (* +nan.0 (+ +nan.0 (/ 1 n))) -1) (+ (* +nan.0 (/ (/ 1 n) -1)))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.513 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.513 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.513 * [taylor]: Taking taylor expansion of +nan.0 in n 5.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.513 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.513 * [taylor]: Taking taylor expansion of +nan.0 in n 5.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.513 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.513 * [taylor]: Taking taylor expansion of n in n 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (/ 1 1) into 1 5.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.515 * [backup-simplify]: Simplify (- 0) into 0 5.516 * [backup-simplify]: Simplify (+ 0 0) into 0 5.516 * [backup-simplify]: Simplify (- 0) into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.517 * [backup-simplify]: Simplify (+ 0 0) into 0 5.517 * [backup-simplify]: Simplify (- 0) into 0 5.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (- 0) into 0 5.519 * [backup-simplify]: Simplify (+ 0 0) into 0 5.519 * [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))))))) 5.519 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 5.519 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 5.519 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 5.519 * [taylor]: Taking taylor expansion of +nan.0 in n 5.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.519 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.519 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.519 * [taylor]: Taking taylor expansion of n in n 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (* 1 1) into 1 5.520 * [backup-simplify]: Simplify (/ 1 1) into 1 5.520 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.520 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.520 * [taylor]: Taking taylor expansion of +nan.0 in n 5.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.520 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.520 * [taylor]: Taking taylor expansion of +nan.0 in n 5.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.520 * [taylor]: Taking taylor expansion of n in n 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (/ 1 1) into 1 5.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 5.526 * [backup-simplify]: Simplify (- 0) into 0 5.526 * [backup-simplify]: Simplify (+ 0 0) into 0 5.526 * [backup-simplify]: Simplify (- 0) into 0 5.526 * [backup-simplify]: Simplify (+ 0 0) into 0 5.527 * [backup-simplify]: Simplify (- 0) into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.528 * [backup-simplify]: Simplify (- 0) into 0 5.529 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (- 0) into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.529 * [backup-simplify]: Simplify (sqrt (+ f n)) into (sqrt (+ n f)) 5.529 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 5.529 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 5.529 * [taylor]: Taking taylor expansion of (+ n f) in n 5.529 * [taylor]: Taking taylor expansion of n in n 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [taylor]: Taking taylor expansion of f in n 5.529 * [backup-simplify]: Simplify f into f 5.529 * [backup-simplify]: Simplify (+ 0 f) into f 5.529 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 5.529 * [backup-simplify]: Simplify (+ 1 0) into 1 5.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 5.530 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.530 * [taylor]: Taking taylor expansion of (+ n f) in f 5.530 * [taylor]: Taking taylor expansion of n in f 5.530 * [backup-simplify]: Simplify n into n 5.530 * [taylor]: Taking taylor expansion of f in f 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (+ n 0) into n 5.530 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.530 * [backup-simplify]: Simplify (+ 0 1) into 1 5.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.530 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.530 * [taylor]: Taking taylor expansion of (+ n f) in f 5.530 * [taylor]: Taking taylor expansion of n in f 5.530 * [backup-simplify]: Simplify n into n 5.530 * [taylor]: Taking taylor expansion of f in f 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (+ n 0) into n 5.530 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.531 * [backup-simplify]: Simplify (+ 0 1) into 1 5.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.531 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.531 * [taylor]: Taking taylor expansion of n in n 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [backup-simplify]: Simplify (sqrt 0) into 0 5.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 5.532 * [taylor]: Taking taylor expansion of 1/2 in n 5.532 * [backup-simplify]: Simplify 1/2 into 1/2 5.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.532 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.532 * [taylor]: Taking taylor expansion of n in n 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ 1 1) into 1 5.533 * [backup-simplify]: Simplify (sqrt 0) into 0 5.533 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.534 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 5.535 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.535 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.535 * [backup-simplify]: Simplify (+ 0 0) into 0 5.536 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 n))) 2) (+)) (* 2 (sqrt n))) into (* -1/8 (sqrt (/ 1 (pow n 3)))) 5.536 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 5.536 * [taylor]: Taking taylor expansion of -1/8 in n 5.536 * [backup-simplify]: Simplify -1/8 into -1/8 5.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 5.536 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.536 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.536 * [taylor]: Taking taylor expansion of n in n 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (* 1 1) into 1 5.537 * [backup-simplify]: Simplify (* 1 1) into 1 5.537 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [backup-simplify]: Simplify (sqrt 0) into 0 5.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.544 * [backup-simplify]: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.545 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.546 * [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)))))) 5.546 * [backup-simplify]: Simplify (sqrt (+ (/ 1 f) (/ 1 n))) into (sqrt (+ (/ 1 f) (/ 1 n))) 5.546 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 5.546 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.546 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.546 * [taylor]: Taking taylor expansion of f in n 5.546 * [backup-simplify]: Simplify f into f 5.546 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.546 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.546 * [taylor]: Taking taylor expansion of n in n 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.546 * [backup-simplify]: Simplify (/ 1 1) into 1 5.547 * [backup-simplify]: Simplify (+ 0 1) into 1 5.547 * [backup-simplify]: Simplify (sqrt 0) into 0 5.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.549 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.549 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.549 * [taylor]: Taking taylor expansion of f in f 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [backup-simplify]: Simplify (/ 1 1) into 1 5.549 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.549 * [taylor]: Taking taylor expansion of n in f 5.549 * [backup-simplify]: Simplify n into n 5.549 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.550 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (sqrt 0) into 0 5.551 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.551 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.551 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.551 * [taylor]: Taking taylor expansion of f in f 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify 1 into 1 5.552 * [backup-simplify]: Simplify (/ 1 1) into 1 5.552 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.552 * [taylor]: Taking taylor expansion of n in f 5.552 * [backup-simplify]: Simplify n into n 5.552 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.552 * [backup-simplify]: Simplify (+ 1 0) into 1 5.553 * [backup-simplify]: Simplify (sqrt 0) into 0 5.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.554 * [taylor]: Taking taylor expansion of 0 in n 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [taylor]: Taking taylor expansion of +nan.0 in n 5.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.554 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.555 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.556 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 5.556 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 5.556 * [taylor]: Taking taylor expansion of +nan.0 in n 5.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.556 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 5.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.556 * [taylor]: Taking taylor expansion of n in n 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (/ 1 1) into 1 5.557 * [taylor]: Taking taylor expansion of +nan.0 in n 5.557 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.557 * [backup-simplify]: Simplify (+ 1 0) into 1 5.558 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.558 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.558 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.559 * [backup-simplify]: Simplify (+ 0 0) into 0 5.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.559 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.559 * [taylor]: Taking taylor expansion of +nan.0 in n 5.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.559 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.559 * [taylor]: Taking taylor expansion of +nan.0 in n 5.560 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.560 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.560 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.560 * [taylor]: Taking taylor expansion of +nan.0 in n 5.560 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.560 * [taylor]: Taking taylor expansion of n in n 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [backup-simplify]: Simplify (/ 1 1) into 1 5.560 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.561 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.562 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.562 * [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))))) 5.562 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (+ (/ 1 f) (/ 1 n)))) 5.562 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.562 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.562 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.562 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.562 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.562 * [taylor]: Taking taylor expansion of f in n 5.562 * [backup-simplify]: Simplify f into f 5.562 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.562 * [taylor]: Taking taylor expansion of n in n 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.563 * [backup-simplify]: Simplify (/ 1 1) into 1 5.563 * [backup-simplify]: Simplify (+ 0 1) into 1 5.563 * [backup-simplify]: Simplify (- 1) into -1 5.563 * [backup-simplify]: Simplify (sqrt 0) into 0 5.564 * [backup-simplify]: Simplify (- 1) into -1 5.564 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.564 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.564 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.564 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.564 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.564 * [taylor]: Taking taylor expansion of f in f 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.565 * [backup-simplify]: Simplify (/ 1 1) into 1 5.565 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.565 * [taylor]: Taking taylor expansion of n in f 5.565 * [backup-simplify]: Simplify n into n 5.565 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.565 * [backup-simplify]: Simplify (+ 1 0) into 1 5.565 * [backup-simplify]: Simplify (- 1) into -1 5.566 * [backup-simplify]: Simplify (sqrt 0) into 0 5.566 * [backup-simplify]: Simplify (- 1) into -1 5.567 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.567 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.567 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.567 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.567 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.567 * [taylor]: Taking taylor expansion of f in f 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [backup-simplify]: Simplify (/ 1 1) into 1 5.567 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.567 * [taylor]: Taking taylor expansion of n in f 5.567 * [backup-simplify]: Simplify n into n 5.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.567 * [backup-simplify]: Simplify (+ 1 0) into 1 5.568 * [backup-simplify]: Simplify (- 1) into -1 5.568 * [backup-simplify]: Simplify (sqrt 0) into 0 5.568 * [backup-simplify]: Simplify (- 1) into -1 5.569 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.569 * [taylor]: Taking taylor expansion of 0 in n 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [taylor]: Taking taylor expansion of +nan.0 in n 5.569 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.570 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.570 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.570 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 5.570 * [taylor]: Taking taylor expansion of +nan.0 in n 5.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.570 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 5.570 * [taylor]: Taking taylor expansion of +nan.0 in n 5.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.570 * [taylor]: Taking taylor expansion of n in n 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [backup-simplify]: Simplify (+ 0 1) into 1 5.571 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.571 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.572 * [backup-simplify]: Simplify (- 0) into 0 5.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.573 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.573 * [taylor]: Taking taylor expansion of +nan.0 in n 5.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.573 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.573 * [taylor]: Taking taylor expansion of +nan.0 in n 5.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.573 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.573 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.573 * [taylor]: Taking taylor expansion of +nan.0 in n 5.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.573 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.573 * [taylor]: Taking taylor expansion of n in n 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (/ 1 1) into 1 5.573 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.574 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.574 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.575 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.575 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.575 * [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))))) 5.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.575 * [backup-simplify]: Simplify (sqrt (+ f n)) into (sqrt (+ n f)) 5.575 * [approximate]: Taking taylor expansion of (sqrt (+ n f)) in (f n) around 0 5.575 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in n 5.575 * [taylor]: Taking taylor expansion of (+ n f) in n 5.575 * [taylor]: Taking taylor expansion of n in n 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [taylor]: Taking taylor expansion of f in n 5.575 * [backup-simplify]: Simplify f into f 5.575 * [backup-simplify]: Simplify (+ 0 f) into f 5.575 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 5.576 * [backup-simplify]: Simplify (+ 1 0) into 1 5.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt f))) into (* 1/2 (sqrt (/ 1 f))) 5.576 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.576 * [taylor]: Taking taylor expansion of (+ n f) in f 5.576 * [taylor]: Taking taylor expansion of n in f 5.576 * [backup-simplify]: Simplify n into n 5.576 * [taylor]: Taking taylor expansion of f in f 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify (+ n 0) into n 5.576 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.576 * [backup-simplify]: Simplify (+ 0 1) into 1 5.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.576 * [taylor]: Taking taylor expansion of (sqrt (+ n f)) in f 5.576 * [taylor]: Taking taylor expansion of (+ n f) in f 5.576 * [taylor]: Taking taylor expansion of n in f 5.576 * [backup-simplify]: Simplify n into n 5.576 * [taylor]: Taking taylor expansion of f in f 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [backup-simplify]: Simplify (+ n 0) into n 5.576 * [backup-simplify]: Simplify (sqrt n) into (sqrt n) 5.577 * [backup-simplify]: Simplify (+ 0 1) into 1 5.577 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt n))) into (* 1/2 (sqrt (/ 1 n))) 5.577 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.577 * [taylor]: Taking taylor expansion of n in n 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (sqrt 0) into 0 5.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 n))) in n 5.578 * [taylor]: Taking taylor expansion of 1/2 in n 5.578 * [backup-simplify]: Simplify 1/2 into 1/2 5.578 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.578 * [taylor]: Taking taylor expansion of n in n 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.579 * [backup-simplify]: Simplify (sqrt 0) into 0 5.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.580 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 5.580 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 n))) 2) (+)) (* 2 (sqrt n))) into (* -1/8 (sqrt (/ 1 (pow n 3)))) 5.581 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow n 3)))) in n 5.581 * [taylor]: Taking taylor expansion of -1/8 in n 5.581 * [backup-simplify]: Simplify -1/8 into -1/8 5.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow n 3))) in n 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.581 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.581 * [taylor]: Taking taylor expansion of n in n 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 1 into 1 5.582 * [backup-simplify]: Simplify (* 1 1) into 1 5.582 * [backup-simplify]: Simplify (* 1 1) into 1 5.582 * [backup-simplify]: Simplify (/ 1 1) into 1 5.583 * [backup-simplify]: Simplify (sqrt 0) into 0 5.583 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.588 * [backup-simplify]: Simplify (+ (* -1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.589 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.590 * [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)))))) 5.590 * [backup-simplify]: Simplify (sqrt (+ (/ 1 f) (/ 1 n))) into (sqrt (+ (/ 1 f) (/ 1 n))) 5.590 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in (f n) around 0 5.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in n 5.590 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.590 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.590 * [taylor]: Taking taylor expansion of f in n 5.590 * [backup-simplify]: Simplify f into f 5.590 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.590 * [taylor]: Taking taylor expansion of n in n 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.591 * [backup-simplify]: Simplify (/ 1 1) into 1 5.591 * [backup-simplify]: Simplify (+ 0 1) into 1 5.592 * [backup-simplify]: Simplify (sqrt 0) into 0 5.593 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.593 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.593 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.593 * [taylor]: Taking taylor expansion of f in f 5.593 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.594 * [taylor]: Taking taylor expansion of n in f 5.594 * [backup-simplify]: Simplify n into n 5.594 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.594 * [backup-simplify]: Simplify (+ 1 0) into 1 5.594 * [backup-simplify]: Simplify (sqrt 0) into 0 5.596 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.596 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 f) (/ 1 n))) in f 5.596 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.596 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.596 * [taylor]: Taking taylor expansion of f in f 5.596 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify 1 into 1 5.596 * [backup-simplify]: Simplify (/ 1 1) into 1 5.596 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.596 * [taylor]: Taking taylor expansion of n in f 5.596 * [backup-simplify]: Simplify n into n 5.596 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.597 * [backup-simplify]: Simplify (+ 1 0) into 1 5.597 * [backup-simplify]: Simplify (sqrt 0) into 0 5.599 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.599 * [taylor]: Taking taylor expansion of 0 in n 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [taylor]: Taking taylor expansion of +nan.0 in n 5.599 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.599 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.601 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 5.601 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 5.601 * [taylor]: Taking taylor expansion of +nan.0 in n 5.601 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.601 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 5.601 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.601 * [taylor]: Taking taylor expansion of n in n 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify (/ 1 1) into 1 5.601 * [taylor]: Taking taylor expansion of +nan.0 in n 5.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.602 * [backup-simplify]: Simplify (+ 1 0) into 1 5.602 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.602 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.602 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.603 * [backup-simplify]: Simplify (+ 0 0) into 0 5.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.604 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.604 * [taylor]: Taking taylor expansion of +nan.0 in n 5.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.604 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.604 * [taylor]: Taking taylor expansion of +nan.0 in n 5.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.604 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.604 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.604 * [taylor]: Taking taylor expansion of +nan.0 in n 5.604 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.604 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.604 * [taylor]: Taking taylor expansion of n in n 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.605 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.605 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.606 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.606 * [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))))) 5.606 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (+ (/ 1 f) (/ 1 n)))) 5.606 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 5.606 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in n 5.606 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in n 5.606 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.606 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.606 * [taylor]: Taking taylor expansion of f in n 5.606 * [backup-simplify]: Simplify f into f 5.606 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.606 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.606 * [taylor]: Taking taylor expansion of n in n 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [backup-simplify]: Simplify (+ 0 1) into 1 5.607 * [backup-simplify]: Simplify (- 1) into -1 5.607 * [backup-simplify]: Simplify (sqrt 0) into 0 5.608 * [backup-simplify]: Simplify (- 1) into -1 5.608 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.608 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.608 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.609 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.609 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.609 * [taylor]: Taking taylor expansion of f in f 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (/ 1 1) into 1 5.609 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.609 * [taylor]: Taking taylor expansion of n in f 5.609 * [backup-simplify]: Simplify n into n 5.609 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.609 * [backup-simplify]: Simplify (+ 1 0) into 1 5.609 * [backup-simplify]: Simplify (- 1) into -1 5.610 * [backup-simplify]: Simplify (sqrt 0) into 0 5.610 * [backup-simplify]: Simplify (- 1) into -1 5.611 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.611 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 f) (/ 1 n)))) in f 5.611 * [taylor]: Taking taylor expansion of (- (+ (/ 1 f) (/ 1 n))) in f 5.611 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.611 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.611 * [taylor]: Taking taylor expansion of f in f 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.611 * [taylor]: Taking taylor expansion of n in f 5.611 * [backup-simplify]: Simplify n into n 5.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.611 * [backup-simplify]: Simplify (+ 1 0) into 1 5.612 * [backup-simplify]: Simplify (- 1) into -1 5.612 * [backup-simplify]: Simplify (sqrt 0) into 0 5.612 * [backup-simplify]: Simplify (- 1) into -1 5.613 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.613 * [taylor]: Taking taylor expansion of 0 in n 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [taylor]: Taking taylor expansion of +nan.0 in n 5.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.614 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.614 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.614 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 5.614 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 5.614 * [taylor]: Taking taylor expansion of +nan.0 in n 5.614 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.614 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 5.614 * [taylor]: Taking taylor expansion of +nan.0 in n 5.614 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.614 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.614 * [taylor]: Taking taylor expansion of n in n 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [backup-simplify]: Simplify (+ 0 1) into 1 5.615 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.615 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.615 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.615 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.616 * [backup-simplify]: Simplify (+ 0 0) into 0 5.616 * [backup-simplify]: Simplify (- 0) into 0 5.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 5.617 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 5.617 * [taylor]: Taking taylor expansion of +nan.0 in n 5.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.617 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 5.617 * [taylor]: Taking taylor expansion of +nan.0 in n 5.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.617 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 5.617 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 5.617 * [taylor]: Taking taylor expansion of +nan.0 in n 5.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.617 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.617 * [taylor]: Taking taylor expansion of n in n 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (/ 1 1) into 1 5.618 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 5.618 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.618 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.619 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 5.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.619 * [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))))) 5.619 * * * [progress]: simplifying candidates 5.619 * * * * [progress]: [ 1 / 252 ] simplifiying candidate # 5.619 * * * * [progress]: [ 2 / 252 ] simplifiying candidate # 5.619 * * * * [progress]: [ 3 / 252 ] simplifiying candidate # 5.619 * * * * [progress]: [ 4 / 252 ] 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candidate # 5.634 * * * * [progress]: [ 234 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 235 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 236 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 237 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 238 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 239 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 240 / 252 ] simplifiying candidate #real (real->posit16 (sqrt (+ f n))))) 1) (/ (sqrt (+ f n)) (- f n))))> 5.635 * * * * [progress]: [ 241 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 242 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 243 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 244 / 252 ] simplifiying candidate # 5.635 * * * * [progress]: [ 245 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 246 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 247 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 248 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 249 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 250 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 251 / 252 ] simplifiying candidate # 5.636 * * * * [progress]: [ 252 / 252 ] simplifiying candidate # 5.641 * [simplify]: Simplifying: (expm1 (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (log1p (* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))) (* (/ (- (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 (+ f n))) (sqrt (- f n)))) (* (/ (sqrt (- (sqrt (+ f n)))) (sqrt 1)) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (/ (sqrt (- (sqrt (+ f n)))) (sqrt 1)) (sqrt (/ (sqrt (+ f n)) (- f n)))) (* (/ (sqrt (- (sqrt (+ f n)))) (sqrt 1)) (/ 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+nan.0))))) 5.648 * * [simplify]: iteration 0: 280 enodes 5.809 * * [simplify]: iteration 1: 854 enodes 6.246 * * [simplify]: iteration 2: 2781 enodes 7.168 * * [simplify]: iteration complete: 5007 enodes 7.168 * * [simplify]: Extracting #0: cost 115 inf + 0 7.171 * * [simplify]: Extracting #1: cost 1079 inf + 4 7.184 * * [simplify]: Extracting #2: cost 1874 inf + 4418 7.193 * * [simplify]: Extracting #3: cost 1688 inf + 23808 7.219 * * [simplify]: Extracting #4: cost 882 inf + 160921 7.293 * * [simplify]: Extracting #5: cost 134 inf + 340776 7.399 * * [simplify]: Extracting #6: cost 1 inf + 381257 7.519 * * [simplify]: Extracting #7: cost 0 inf + 381540 7.612 * [simplify]: Simplified to: (expm1 (/ (- (+ n f)) (- f n))) (log1p (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n)) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (log (/ (- (+ n f)) (- f n))) (exp 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(sqrt (- f n)) 1/2 (sqrt (sqrt (+ n f))) (sqrt (sqrt (+ n f))) (real->posit16 (sqrt (+ n f))) 1 -1 0 (- (fma +nan.0 (- n f) +nan.0)) (- (+ (- (/ +nan.0 f) (/ +nan.0 (* f f))) (/ +nan.0 (* f (* f f))))) 0 (fma (- +nan.0) (* f f) (* +nan.0 (- n f))) (- (fma (/ n f) (/ +nan.0 f) (fma (- +nan.0) (/ n f) +nan.0))) (- (fma (/ n f) (/ +nan.0 f) (fma (- +nan.0) (/ n f) +nan.0))) (fma (- +nan.0) (* f f) (* +nan.0 (- n f))) (- (fma (/ n f) (/ +nan.0 f) (fma (- +nan.0) (/ n f) +nan.0))) (- (fma (/ n f) (/ +nan.0 f) (fma (- +nan.0) (/ n f) +nan.0))) 7.638 * * * [progress]: adding candidates to table 8.591 * [progress]: [Phase 3 of 3] Extracting. 8.591 * * [regime]: Finding splitpoints for: (# # #) 8.593 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 8.593 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 8.638 * * * * [regimes]: Trying to branch on n from (# # #) 8.683 * * * * [regimes]: Trying to branch on f from (# # #) 8.731 * * * [regime]: Found split indices: #