1.223 * [progress]: [Phase 1 of 3] Setting up. 0.034 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.175 * [progress]: [Phase 2 of 3] Improving. 0.179 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.180 * * [simplify]: Extracting # 0 : cost 0 0.181 * * [simplify]: Extracting # 1 : cost 0 0.181 * * [simplify]: Extracting # 2 : cost 0 0.181 * * [simplify]: Extracting # 3 : cost 0 0.181 * * [simplify]: Extracting # 4 : cost 0 0.181 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.194 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: Extracting # 1 : cost 0 0.200 * * [simplify]: Extracting # 2 : cost 0 0.200 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.207 * * [simplify]: Extracting # 0 : cost 0 0.207 * * [simplify]: Extracting # 1 : cost 0 0.207 * * [simplify]: Extracting # 2 : cost 0 0.208 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.217 * * [simplify]: Extracting # 2 : cost 0 0.217 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.228 * * [simplify]: Extracting # 0 : cost 0 0.228 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.239 * * [simplify]: Extracting # 0 : cost 0 0.239 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.279 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.281 * * [progress]: iteration 1 / 4 0.282 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.379 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.386 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.386 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.387 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.387 * [taylor]: Taking taylor expansion of -1 in n 0.387 * [backup-simplify]: Simplify -1 into -1 0.387 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.387 * [taylor]: Taking taylor expansion of (+ n f) in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of f in n 0.387 * [backup-simplify]: Simplify f into f 0.387 * [taylor]: Taking taylor expansion of (- f n) in n 0.387 * [taylor]: Taking taylor expansion of f in n 0.387 * [backup-simplify]: Simplify f into f 0.387 * [taylor]: Taking taylor expansion of n in n 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ 0 f) into f 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ f 0) into f 0.389 * [backup-simplify]: Simplify (/ f f) into 1 0.389 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.389 * [taylor]: Taking taylor expansion of -1 in f 0.389 * [backup-simplify]: Simplify -1 into -1 0.389 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.389 * [taylor]: Taking taylor expansion of (+ n f) in f 0.389 * [taylor]: Taking taylor expansion of n in f 0.389 * [backup-simplify]: Simplify n into n 0.389 * [taylor]: Taking taylor expansion of f in f 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of (- f n) in f 0.389 * [taylor]: Taking taylor expansion of f in f 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of n in f 0.389 * [backup-simplify]: Simplify n into n 0.389 * [backup-simplify]: Simplify (+ n 0) into n 0.389 * [backup-simplify]: Simplify (- n) into (- n) 0.389 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.389 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.389 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.389 * [taylor]: Taking taylor expansion of -1 in f 0.389 * [backup-simplify]: Simplify -1 into -1 0.389 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.389 * [taylor]: Taking taylor expansion of (+ n f) in f 0.389 * [taylor]: Taking taylor expansion of n in f 0.389 * [backup-simplify]: Simplify n into n 0.389 * [taylor]: Taking taylor expansion of f in f 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of (- f n) in f 0.389 * [taylor]: Taking taylor expansion of f in f 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of n in f 0.389 * [backup-simplify]: Simplify n into n 0.389 * [backup-simplify]: Simplify (+ n 0) into n 0.389 * [backup-simplify]: Simplify (- n) into (- n) 0.389 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.389 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.390 * [backup-simplify]: Simplify (* -1 -1) into 1 0.390 * [taylor]: Taking taylor expansion of 1 in n 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (- 0) into 0 0.391 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.392 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.392 * [taylor]: Taking taylor expansion of 2 in n 0.392 * [backup-simplify]: Simplify 2 into 2 0.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.395 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.395 * [taylor]: Taking taylor expansion of 2 in n 0.395 * [backup-simplify]: Simplify 2 into 2 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [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)))) 0.409 * [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))) 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.409 * [taylor]: Taking taylor expansion of 2 in n 0.409 * [backup-simplify]: Simplify 2 into 2 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.409 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.418 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.418 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.418 * [taylor]: Taking taylor expansion of -1 in n 0.418 * [backup-simplify]: Simplify -1 into -1 0.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.418 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.418 * [taylor]: Taking taylor expansion of f in n 0.418 * [backup-simplify]: Simplify f into f 0.418 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.419 * [taylor]: Taking taylor expansion of f in n 0.419 * [backup-simplify]: Simplify f into f 0.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.421 * [backup-simplify]: Simplify (- 1) into -1 0.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.422 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.422 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.422 * [taylor]: Taking taylor expansion of -1 in f 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.422 * [taylor]: Taking taylor expansion of f in f 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.422 * [taylor]: Taking taylor expansion of n in f 0.422 * [backup-simplify]: Simplify n into n 0.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.423 * [taylor]: Taking taylor expansion of f in f 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1 1) into 1 0.423 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.423 * [taylor]: Taking taylor expansion of n in f 0.423 * [backup-simplify]: Simplify n into n 0.423 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (+ 1 0) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.425 * [taylor]: Taking taylor expansion of -1 in f 0.425 * [backup-simplify]: Simplify -1 into -1 0.425 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.425 * [taylor]: Taking taylor expansion of f in f 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.425 * [taylor]: Taking taylor expansion of n in f 0.425 * [backup-simplify]: Simplify n into n 0.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.425 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.425 * [taylor]: Taking taylor expansion of f in f 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.426 * [taylor]: Taking taylor expansion of n in f 0.426 * [backup-simplify]: Simplify n into n 0.426 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.426 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (+ 1 0) into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (* -1 1) into -1 0.428 * [taylor]: Taking taylor expansion of -1 in n 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [backup-simplify]: Simplify -1 into -1 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.430 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.430 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.431 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.431 * [taylor]: Taking taylor expansion of 2 in n 0.431 * [backup-simplify]: Simplify 2 into 2 0.431 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.439 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.439 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.439 * [taylor]: Taking taylor expansion of 2 in n 0.439 * [backup-simplify]: Simplify 2 into 2 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.439 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.449 * [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)))) 0.449 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n 0.449 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.455 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.455 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.455 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.455 * [taylor]: Taking taylor expansion of f in n 0.455 * [backup-simplify]: Simplify f into f 0.455 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.455 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.456 * [taylor]: Taking taylor expansion of f in n 0.456 * [backup-simplify]: Simplify f into f 0.456 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.456 * [backup-simplify]: Simplify (+ 0 1) into 1 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.457 * [taylor]: Taking taylor expansion of f in f 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.457 * [taylor]: Taking taylor expansion of n in f 0.457 * [backup-simplify]: Simplify n into n 0.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.457 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.457 * [taylor]: Taking taylor expansion of n in f 0.457 * [backup-simplify]: Simplify n into n 0.457 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.457 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.457 * [taylor]: Taking taylor expansion of f in f 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (- 1) into -1 0.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.459 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.459 * [taylor]: Taking taylor expansion of f in f 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.459 * [taylor]: Taking taylor expansion of n in f 0.459 * [backup-simplify]: Simplify n into n 0.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.459 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.459 * [taylor]: Taking taylor expansion of n in f 0.459 * [backup-simplify]: Simplify n into n 0.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.459 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.459 * [taylor]: Taking taylor expansion of f in f 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.460 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.461 * [taylor]: Taking taylor expansion of -1 in n 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify -1 into -1 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.462 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.462 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.462 * [taylor]: Taking taylor expansion of 2 in n 0.462 * [backup-simplify]: Simplify 2 into 2 0.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.466 * [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 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [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 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [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 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [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)))) 0.474 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.474 * [taylor]: Taking taylor expansion of 2 in n 0.474 * [backup-simplify]: Simplify 2 into 2 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.474 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * * * [progress]: simplifying candidates 0.482 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.484 * * [simplify]: Extracting # 0 : cost 0 0.484 * * [simplify]: Extracting # 1 : cost 0 0.484 * * [simplify]: Extracting # 2 : cost 0 0.484 * * [simplify]: Extracting # 3 : cost 0 0.484 * * [simplify]: Extracting # 4 : cost 0 0.485 * * [simplify]: Extracting # 5 : cost 0 0.485 * * [simplify]: Extracting # 6 : cost 0 0.485 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.519 * * [simplify]: Extracting # 0 : cost 0 0.519 * * [simplify]: Extracting # 1 : cost 0 0.519 * * [simplify]: Extracting # 2 : cost 0 0.520 * * [simplify]: Extracting # 3 : cost 0 0.520 * * [simplify]: Extracting # 4 : cost 0 0.520 * * [simplify]: iteration 1 : 292 enodes (cost 1395 ) 0.598 * * [simplify]: Extracting # 0 : cost 0 0.599 * * [simplify]: Extracting # 1 : cost 0 0.601 * * [simplify]: Extracting # 2 : cost 0 0.602 * * [simplify]: Extracting # 3 : cost 0 0.604 * * [simplify]: iteration 2 : 702 enodes (cost 1365 ) 1.046 * * [simplify]: Extracting # 0 : cost 0 1.051 * * [simplify]: Extracting # 1 : cost 0 1.054 * * [simplify]: Extracting # 2 : cost 0 1.058 * * [simplify]: Extracting # 3 : cost 0 1.062 * * [simplify]: Extracting # 4 : cost 0 1.066 * * [simplify]: iteration 3 : 1907 enodes (cost 1357 ) 3.227 * * [simplify]: Extracting # 0 : cost 0 3.234 * * [simplify]: Extracting # 1 : cost 0 3.239 * * [simplify]: Extracting # 2 : cost 0 3.248 * * [simplify]: Extracting # 3 : cost 0 3.256 * * [simplify]: Extracting # 4 : cost 0 3.265 * * [simplify]: Extracting # 5 : cost 0 3.273 * * [simplify]: iteration done: 5000 enodes (cost 1357 ) 3.275 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ n f) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 3.277 * * * [progress]: adding candidates to table 3.497 * * [progress]: iteration 2 / 4 3.497 * * * [progress]: picking best candidate 3.512 * * * * [pick]: Picked # 3.512 * * * [progress]: localizing error 3.525 * * * [progress]: generating rewritten candidates 3.525 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.580 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.681 * * * [progress]: generating series expansions 3.681 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.681 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 3.681 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 3.681 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 3.681 * [taylor]: Taking taylor expansion of -1 in n 3.682 * [backup-simplify]: Simplify -1 into -1 3.682 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.682 * [taylor]: Taking taylor expansion of (- f n) in n 3.682 * [taylor]: Taking taylor expansion of f in n 3.682 * [backup-simplify]: Simplify f into f 3.682 * [taylor]: Taking taylor expansion of n in n 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [taylor]: Taking taylor expansion of (+ n f) in n 3.682 * [taylor]: Taking taylor expansion of n in n 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [taylor]: Taking taylor expansion of f in n 3.682 * [backup-simplify]: Simplify f into f 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ f 0) into f 3.683 * [backup-simplify]: Simplify (+ 0 f) into f 3.683 * [backup-simplify]: Simplify (/ f f) into 1 3.683 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 3.683 * [taylor]: Taking taylor expansion of -1 in f 3.683 * [backup-simplify]: Simplify -1 into -1 3.683 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.683 * [taylor]: Taking taylor expansion of (- f n) in f 3.683 * [taylor]: Taking taylor expansion of f in f 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of n in f 3.683 * [backup-simplify]: Simplify n into n 3.683 * [taylor]: Taking taylor expansion of (+ n f) in f 3.683 * [taylor]: Taking taylor expansion of n in f 3.683 * [backup-simplify]: Simplify n into n 3.683 * [taylor]: Taking taylor expansion of f in f 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (- n) into (- n) 3.683 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.683 * [backup-simplify]: Simplify (+ n 0) into n 3.683 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.684 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 3.684 * [taylor]: Taking taylor expansion of -1 in f 3.684 * [backup-simplify]: Simplify -1 into -1 3.684 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.684 * [taylor]: Taking taylor expansion of (- f n) in f 3.684 * [taylor]: Taking taylor expansion of f in f 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of n in f 3.684 * [backup-simplify]: Simplify n into n 3.684 * [taylor]: Taking taylor expansion of (+ n f) in f 3.684 * [taylor]: Taking taylor expansion of n in f 3.684 * [backup-simplify]: Simplify n into n 3.684 * [taylor]: Taking taylor expansion of f in f 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [backup-simplify]: Simplify (- n) into (- n) 3.684 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.684 * [backup-simplify]: Simplify (+ n 0) into n 3.684 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.685 * [backup-simplify]: Simplify (* -1 -1) into 1 3.685 * [taylor]: Taking taylor expansion of 1 in n 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify (- 0) into 0 3.686 * [backup-simplify]: Simplify (+ 1 0) into 1 3.686 * [backup-simplify]: Simplify (+ 0 1) into 1 3.686 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.687 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.687 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.687 * [taylor]: Taking taylor expansion of 2 in n 3.687 * [backup-simplify]: Simplify 2 into 2 3.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.687 * [taylor]: Taking taylor expansion of n in n 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (- 0) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (- 0) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.692 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.692 * [taylor]: Taking taylor expansion of 2 in n 3.692 * [backup-simplify]: Simplify 2 into 2 3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.692 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.692 * [taylor]: Taking taylor expansion of n in n 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (* 1 1) into 1 3.693 * [backup-simplify]: Simplify (/ 1 1) into 1 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.699 * [backup-simplify]: Simplify (- 0) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (- 0) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [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))) 3.702 * [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)))) 3.702 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.702 * [taylor]: Taking taylor expansion of 2 in n 3.702 * [backup-simplify]: Simplify 2 into 2 3.703 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.703 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.703 * [taylor]: Taking taylor expansion of n in n 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 3.710 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.710 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 3.710 * [taylor]: Taking taylor expansion of -1 in n 3.710 * [backup-simplify]: Simplify -1 into -1 3.710 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.710 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.710 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.710 * [taylor]: Taking taylor expansion of f in n 3.710 * [backup-simplify]: Simplify f into f 3.710 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.711 * [taylor]: Taking taylor expansion of n in n 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.711 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.711 * [taylor]: Taking taylor expansion of f in n 3.711 * [backup-simplify]: Simplify f into f 3.711 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.711 * [taylor]: Taking taylor expansion of n in n 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [backup-simplify]: Simplify (- 1) into -1 3.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.712 * [backup-simplify]: Simplify (+ 0 1) into 1 3.712 * [backup-simplify]: Simplify (/ -1 1) into -1 3.712 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.712 * [taylor]: Taking taylor expansion of -1 in f 3.712 * [backup-simplify]: Simplify -1 into -1 3.712 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.712 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.712 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.712 * [taylor]: Taking taylor expansion of f in f 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.713 * [taylor]: Taking taylor expansion of n in f 3.713 * [backup-simplify]: Simplify n into n 3.713 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.713 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.713 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.713 * [taylor]: Taking taylor expansion of f in f 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.713 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.713 * [taylor]: Taking taylor expansion of n in f 3.713 * [backup-simplify]: Simplify n into n 3.713 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.713 * [backup-simplify]: Simplify (+ 1 0) into 1 3.714 * [backup-simplify]: Simplify (+ 1 0) into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.714 * [taylor]: Taking taylor expansion of -1 in f 3.714 * [backup-simplify]: Simplify -1 into -1 3.714 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.714 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.714 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.714 * [taylor]: Taking taylor expansion of n in f 3.714 * [backup-simplify]: Simplify n into n 3.714 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.714 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.714 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.714 * [taylor]: Taking taylor expansion of f in f 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (/ 1 1) into 1 3.715 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.715 * [taylor]: Taking taylor expansion of n in f 3.715 * [backup-simplify]: Simplify n into n 3.715 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.715 * [backup-simplify]: Simplify (+ 1 0) into 1 3.715 * [backup-simplify]: Simplify (+ 1 0) into 1 3.716 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [backup-simplify]: Simplify (* -1 1) into -1 3.716 * [taylor]: Taking taylor expansion of -1 in n 3.716 * [backup-simplify]: Simplify -1 into -1 3.716 * [backup-simplify]: Simplify -1 into -1 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.717 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.717 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.717 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 3.717 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.718 * [taylor]: Taking taylor expansion of 2 in n 3.718 * [backup-simplify]: Simplify 2 into 2 3.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.718 * [taylor]: Taking taylor expansion of n in n 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.720 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.721 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.722 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.722 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.722 * [taylor]: Taking taylor expansion of 2 in n 3.722 * [backup-simplify]: Simplify 2 into 2 3.722 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.722 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.722 * [taylor]: Taking taylor expansion of n in n 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (* 1 1) into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.725 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.727 * [backup-simplify]: Simplify (- 0) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.728 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [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)))) 3.730 * [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))) 3.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.730 * [taylor]: Taking taylor expansion of 2 in n 3.730 * [backup-simplify]: Simplify 2 into 2 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.730 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.730 * [taylor]: Taking taylor expansion of n in n 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify 1 into 1 3.731 * [backup-simplify]: Simplify (* 1 1) into 1 3.731 * [backup-simplify]: Simplify (* 1 1) into 1 3.731 * [backup-simplify]: Simplify (/ 1 1) into 1 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify -1 into -1 3.737 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 3.737 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.737 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.737 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.737 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.737 * [taylor]: Taking taylor expansion of n in n 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.737 * [taylor]: Taking taylor expansion of f in n 3.737 * [backup-simplify]: Simplify f into f 3.737 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.737 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.737 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.737 * [taylor]: Taking taylor expansion of f in n 3.737 * [backup-simplify]: Simplify f into f 3.737 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.737 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.737 * [taylor]: Taking taylor expansion of n in n 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [backup-simplify]: Simplify (+ 1 0) into 1 3.738 * [backup-simplify]: Simplify (+ 0 1) into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.738 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.738 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.738 * [taylor]: Taking taylor expansion of n in f 3.738 * [backup-simplify]: Simplify n into n 3.738 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.738 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.739 * [taylor]: Taking taylor expansion of f in f 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (/ 1 1) into 1 3.739 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.739 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.739 * [taylor]: Taking taylor expansion of f in f 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (/ 1 1) into 1 3.739 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.739 * [taylor]: Taking taylor expansion of n in f 3.739 * [backup-simplify]: Simplify n into n 3.739 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.739 * [backup-simplify]: Simplify (- 1) into -1 3.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.740 * [backup-simplify]: Simplify (+ 1 0) into 1 3.740 * [backup-simplify]: Simplify (/ -1 1) into -1 3.740 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.740 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.740 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.740 * [taylor]: Taking taylor expansion of n in f 3.740 * [backup-simplify]: Simplify n into n 3.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.740 * [taylor]: Taking taylor expansion of f in f 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (/ 1 1) into 1 3.741 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.741 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.741 * [taylor]: Taking taylor expansion of f in f 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.747 * [taylor]: Taking taylor expansion of n in f 3.747 * [backup-simplify]: Simplify n into n 3.747 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.748 * [backup-simplify]: Simplify (- 1) into -1 3.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.748 * [backup-simplify]: Simplify (+ 1 0) into 1 3.748 * [backup-simplify]: Simplify (/ -1 1) into -1 3.748 * [taylor]: Taking taylor expansion of -1 in n 3.749 * [backup-simplify]: Simplify -1 into -1 3.749 * [backup-simplify]: Simplify -1 into -1 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.749 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.750 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.750 * [taylor]: Taking taylor expansion of 2 in n 3.750 * [backup-simplify]: Simplify 2 into 2 3.750 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.750 * [taylor]: Taking taylor expansion of n in n 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (- 0) into 0 3.754 * [backup-simplify]: Simplify (+ 0 0) into 0 3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.755 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.757 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.757 * [taylor]: Taking taylor expansion of 2 in n 3.757 * [backup-simplify]: Simplify 2 into 2 3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.757 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.757 * [taylor]: Taking taylor expansion of n in n 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (* 1 1) into 1 3.757 * [backup-simplify]: Simplify (/ 1 1) into 1 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.762 * [backup-simplify]: Simplify (- 0) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (- 0) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.767 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [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))) 3.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.769 * [taylor]: Taking taylor expansion of 2 in n 3.769 * [backup-simplify]: Simplify 2 into 2 3.769 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.769 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.769 * [taylor]: Taking taylor expansion of n in n 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (* 1 1) into 1 3.770 * [backup-simplify]: Simplify (* 1 1) into 1 3.771 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify -1 into -1 3.779 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.779 * [backup-simplify]: Simplify (/ 1 (/ (- f n) (- (+ f n)))) into (* -1 (/ (+ n f) (- f n))) 3.779 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.780 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.780 * [taylor]: Taking taylor expansion of -1 in n 3.780 * [backup-simplify]: Simplify -1 into -1 3.780 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.780 * [taylor]: Taking taylor expansion of (+ n f) in n 3.780 * [taylor]: Taking taylor expansion of n in n 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [taylor]: Taking taylor expansion of f in n 3.780 * [backup-simplify]: Simplify f into f 3.780 * [taylor]: Taking taylor expansion of (- f n) in n 3.780 * [taylor]: Taking taylor expansion of f in n 3.780 * [backup-simplify]: Simplify f into f 3.780 * [taylor]: Taking taylor expansion of n in n 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (+ 0 f) into f 3.780 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify (+ f 0) into f 3.780 * [backup-simplify]: Simplify (/ f f) into 1 3.781 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.781 * [taylor]: Taking taylor expansion of -1 in f 3.781 * [backup-simplify]: Simplify -1 into -1 3.781 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.781 * [taylor]: Taking taylor expansion of (+ n f) in f 3.781 * [taylor]: Taking taylor expansion of n in f 3.781 * [backup-simplify]: Simplify n into n 3.781 * [taylor]: Taking taylor expansion of f in f 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of (- f n) in f 3.781 * [taylor]: Taking taylor expansion of f in f 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of n in f 3.781 * [backup-simplify]: Simplify n into n 3.781 * [backup-simplify]: Simplify (+ n 0) into n 3.781 * [backup-simplify]: Simplify (- n) into (- n) 3.781 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.781 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.781 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.781 * [taylor]: Taking taylor expansion of -1 in f 3.781 * [backup-simplify]: Simplify -1 into -1 3.781 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.781 * [taylor]: Taking taylor expansion of (+ n f) in f 3.781 * [taylor]: Taking taylor expansion of n in f 3.781 * [backup-simplify]: Simplify n into n 3.781 * [taylor]: Taking taylor expansion of f in f 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of (- f n) in f 3.781 * [taylor]: Taking taylor expansion of f in f 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [taylor]: Taking taylor expansion of n in f 3.782 * [backup-simplify]: Simplify n into n 3.782 * [backup-simplify]: Simplify (+ n 0) into n 3.782 * [backup-simplify]: Simplify (- n) into (- n) 3.782 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.782 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.782 * [backup-simplify]: Simplify (* -1 -1) into 1 3.782 * [taylor]: Taking taylor expansion of 1 in n 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (+ 0 1) into 1 3.783 * [backup-simplify]: Simplify (- 0) into 0 3.784 * [backup-simplify]: Simplify (+ 1 0) into 1 3.784 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.785 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.785 * [taylor]: Taking taylor expansion of 2 in n 3.785 * [backup-simplify]: Simplify 2 into 2 3.785 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.785 * [taylor]: Taking taylor expansion of n in n 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.788 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.789 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.789 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.789 * [taylor]: Taking taylor expansion of 2 in n 3.789 * [backup-simplify]: Simplify 2 into 2 3.789 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.789 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.789 * [taylor]: Taking taylor expansion of n in n 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (* 1 1) into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [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)))) 3.799 * [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))) 3.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.799 * [taylor]: Taking taylor expansion of 2 in n 3.799 * [backup-simplify]: Simplify 2 into 2 3.799 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.799 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.799 * [taylor]: Taking taylor expansion of n in n 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.809 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.809 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.809 * [taylor]: Taking taylor expansion of -1 in n 3.809 * [backup-simplify]: Simplify -1 into -1 3.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.809 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.809 * [taylor]: Taking taylor expansion of f in n 3.809 * [backup-simplify]: Simplify f into f 3.810 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.810 * [taylor]: Taking taylor expansion of n in n 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.810 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.810 * [taylor]: Taking taylor expansion of f in n 3.810 * [backup-simplify]: Simplify f into f 3.810 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.810 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.810 * [taylor]: Taking taylor expansion of n in n 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (/ 1 1) into 1 3.811 * [backup-simplify]: Simplify (+ 0 1) into 1 3.811 * [backup-simplify]: Simplify (- 1) into -1 3.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.812 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.812 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.812 * [taylor]: Taking taylor expansion of -1 in f 3.812 * [backup-simplify]: Simplify -1 into -1 3.812 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.812 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.812 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.812 * [taylor]: Taking taylor expansion of f in f 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (/ 1 1) into 1 3.813 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.813 * [taylor]: Taking taylor expansion of n in f 3.813 * [backup-simplify]: Simplify n into n 3.813 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.813 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.813 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.813 * [taylor]: Taking taylor expansion of f in f 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (/ 1 1) into 1 3.814 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.814 * [taylor]: Taking taylor expansion of n in f 3.814 * [backup-simplify]: Simplify n into n 3.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.815 * [backup-simplify]: Simplify (/ 1 1) into 1 3.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.815 * [taylor]: Taking taylor expansion of -1 in f 3.815 * [backup-simplify]: Simplify -1 into -1 3.815 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.815 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.815 * [taylor]: Taking taylor expansion of f in f 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (/ 1 1) into 1 3.815 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.815 * [taylor]: Taking taylor expansion of n in f 3.815 * [backup-simplify]: Simplify n into n 3.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.816 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.816 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.816 * [taylor]: Taking taylor expansion of f in f 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.816 * [taylor]: Taking taylor expansion of n in f 3.816 * [backup-simplify]: Simplify n into n 3.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.817 * [backup-simplify]: Simplify (/ 1 1) into 1 3.818 * [backup-simplify]: Simplify (* -1 1) into -1 3.818 * [taylor]: Taking taylor expansion of -1 in n 3.818 * [backup-simplify]: Simplify -1 into -1 3.818 * [backup-simplify]: Simplify -1 into -1 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.820 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.820 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.821 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.821 * [taylor]: Taking taylor expansion of 2 in n 3.821 * [backup-simplify]: Simplify 2 into 2 3.821 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.821 * [taylor]: Taking taylor expansion of n in n 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (- 0) into 0 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.824 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.826 * [backup-simplify]: Simplify (- 0) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.828 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.828 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.828 * [taylor]: Taking taylor expansion of 2 in n 3.828 * [backup-simplify]: Simplify 2 into 2 3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.828 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.828 * [taylor]: Taking taylor expansion of n in n 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.829 * [backup-simplify]: Simplify (* 1 1) into 1 3.829 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.833 * [backup-simplify]: Simplify (- 0) into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.835 * [backup-simplify]: Simplify (- 0) into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.838 * [backup-simplify]: Simplify (- 0) into 0 3.839 * [backup-simplify]: Simplify (+ 0 0) into 0 3.840 * [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))) 3.841 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.841 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.841 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.841 * [taylor]: Taking taylor expansion of 2 in n 3.841 * [backup-simplify]: Simplify 2 into 2 3.841 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.842 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.842 * [taylor]: Taking taylor expansion of n in n 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (* 1 1) into 1 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (- 0) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify -1 into -1 3.853 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.853 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.853 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.853 * [taylor]: Taking taylor expansion of f in n 3.853 * [backup-simplify]: Simplify f into f 3.853 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.853 * [taylor]: Taking taylor expansion of n in n 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.854 * [taylor]: Taking taylor expansion of n in n 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.854 * [taylor]: Taking taylor expansion of f in n 3.854 * [backup-simplify]: Simplify f into f 3.855 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.855 * [backup-simplify]: Simplify (+ 0 1) into 1 3.855 * [backup-simplify]: Simplify (+ 1 0) into 1 3.856 * [backup-simplify]: Simplify (/ 1 1) into 1 3.856 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.856 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.856 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.856 * [taylor]: Taking taylor expansion of f in f 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (/ 1 1) into 1 3.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.856 * [taylor]: Taking taylor expansion of n in f 3.857 * [backup-simplify]: Simplify n into n 3.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.857 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.857 * [taylor]: Taking taylor expansion of n in f 3.857 * [backup-simplify]: Simplify n into n 3.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.857 * [taylor]: Taking taylor expansion of f in f 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (/ 1 1) into 1 3.858 * [backup-simplify]: Simplify (+ 1 0) into 1 3.858 * [backup-simplify]: Simplify (- 1) into -1 3.859 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.859 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.859 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.859 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.859 * [taylor]: Taking taylor expansion of f in f 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (/ 1 1) into 1 3.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.860 * [taylor]: Taking taylor expansion of n in f 3.860 * [backup-simplify]: Simplify n into n 3.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.860 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.860 * [taylor]: Taking taylor expansion of n in f 3.860 * [backup-simplify]: Simplify n into n 3.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.860 * [taylor]: Taking taylor expansion of f in f 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (/ 1 1) into 1 3.861 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (- 1) into -1 3.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.862 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.863 * [taylor]: Taking taylor expansion of -1 in n 3.863 * [backup-simplify]: Simplify -1 into -1 3.863 * [backup-simplify]: Simplify -1 into -1 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (- 0) into 0 3.865 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.865 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.865 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.865 * [taylor]: Taking taylor expansion of 2 in n 3.865 * [backup-simplify]: Simplify 2 into 2 3.865 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.865 * [taylor]: Taking taylor expansion of n in n 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.867 * [backup-simplify]: Simplify (- 0) into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.872 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.872 * [taylor]: Taking taylor expansion of 2 in n 3.872 * [backup-simplify]: Simplify 2 into 2 3.872 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.872 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.872 * [taylor]: Taking taylor expansion of n in n 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (* 1 1) into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.877 * [backup-simplify]: Simplify (- 0) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.879 * [backup-simplify]: Simplify (- 0) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [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)))) 3.884 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.885 * [taylor]: Taking taylor expansion of 2 in n 3.885 * [backup-simplify]: Simplify 2 into 2 3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.885 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.885 * [taylor]: Taking taylor expansion of n in n 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.886 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify -1 into -1 3.899 * * * [progress]: simplifying candidates 3.906 * [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))) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f 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n)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- f n)) (/ 1 (/ (- f n) (- (+ (pow f 3) (pow n 3))))) (/ 1 (/ (- f n) (- (- (* f f) (* n n))))) (/ (/ (- f n) (- (+ f n))) (cbrt 1)) (/ (/ (- f n) (- (+ f n))) (sqrt 1)) (/ (/ (- f n) (- (+ f n))) 1) (/ 1 (- f n)) 1 -1 -1 1 -1 -1 3.915 * * [simplify]: Extracting # 0 : cost 0 3.916 * * [simplify]: Extracting # 1 : cost 0 3.917 * * [simplify]: Extracting # 2 : cost 0 3.918 * * [simplify]: Extracting # 3 : cost 0 3.918 * * [simplify]: Extracting # 4 : cost 0 3.919 * * [simplify]: Extracting # 5 : cost 0 3.920 * * [simplify]: Extracting # 6 : cost 0 3.920 * * [simplify]: Extracting # 7 : cost 0 3.921 * * [simplify]: Extracting # 8 : cost 0 3.923 * * [simplify]: iteration 0 : 393 enodes (cost 7392 ) 4.316 * * [simplify]: Extracting # 0 : cost 0 4.319 * * [simplify]: Extracting # 1 : cost 0 4.322 * * [simplify]: Extracting # 2 : cost 0 4.323 * * [simplify]: Extracting # 3 : cost 0 4.325 * * [simplify]: iteration 1 : 918 enodes (cost 6305 ) 4.633 * * [simplify]: Extracting # 0 : cost 0 4.638 * * [simplify]: Extracting # 1 : cost 0 4.642 * * [simplify]: Extracting # 2 : cost 0 4.647 * * [simplify]: Extracting # 3 : cost 0 4.651 * * [simplify]: iteration 2 : 1982 enodes (cost 5702 ) 5.983 * * [simplify]: Extracting # 0 : cost 0 5.993 * * [simplify]: Extracting # 1 : cost 0 6.002 * * [simplify]: Extracting # 2 : cost 0 6.011 * * [simplify]: Extracting # 3 : cost 0 6.020 * * [simplify]: Extracting # 4 : cost 0 6.030 * * [simplify]: iteration done: 5001 enodes (cost 5585 ) 6.035 * [simplify]: Simplified to: (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- n f) (+ f n) (/ f (- (+ f n))) (/ n (- (+ f 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n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) -1 (/ (+ f n) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) -1 (/ (+ f n) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (fma f f (* n (- n f)))) (/ (* (+ f n) (- n f)) (- f n)) (/ 1 (- f n)) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (sqrt (+ f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- 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))) (/ -1 (sqrt (- 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))) (/ -1 (sqrt (- 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))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) -1 (/ (+ f n) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) -1 (/ (+ f n) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (fma f f (* n (- n f)))) (/ (* (+ f n) (- n f)) (- f n)) (/ 1 (- f n)) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (* (cbrt (- 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(+ f n) (sqrt (- f n))) (/ -1 (sqrt (- 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))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) -1 (/ (+ f n) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (- (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) -1 (/ (+ f n) (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) -1 (/ (+ f n) (- f n)) -1 (/ (+ f n) (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) 1 (- (/ (+ f n) (- f n))) (/ 1 (- f n)) (- (+ f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ 1 (fma f f (* n (- n f)))) (/ (* (+ f n) (- n f)) (- f n)) (/ 1 (- f n)) (- (/ (+ f n) (- f n))) (/ (- f n) (- (+ f n))) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (- (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- (+ f n))) 1 -1 (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- (+ f n))) 1 -1 (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 1 (/ 1 (- f n)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ (* (+ f n) (- n f)) (- f n)) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ 1 (- f n)) 1 -1 -1 1 -1 -1 6.040 * * * [progress]: adding candidates to table 6.640 * * [progress]: iteration 3 / 4 6.640 * * * [progress]: picking best candidate 6.649 * * * * [pick]: Picked # 6.649 * * * [progress]: localizing error 6.674 * * * [progress]: generating rewritten candidates 6.674 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 6.675 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 6.745 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.751 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 6.757 * * * [progress]: generating series expansions 6.757 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 6.757 * [backup-simplify]: Simplify (expm1 (/ (- f n) (- (+ f n)))) into (expm1 (* -1 (/ (- f n) (+ n f)))) 6.757 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in (f n) around 0 6.757 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in n 6.759 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 6.759 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in n 6.759 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 6.759 * [taylor]: Taking taylor expansion of -1 in n 6.759 * [backup-simplify]: Simplify -1 into -1 6.759 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 6.759 * [taylor]: Taking taylor expansion of (- f n) in n 6.759 * [taylor]: Taking taylor expansion of f in n 6.759 * [backup-simplify]: Simplify f into f 6.759 * [taylor]: Taking taylor expansion of n in n 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 1 into 1 6.759 * [taylor]: Taking taylor expansion of (+ n f) in n 6.759 * [taylor]: Taking taylor expansion of n in n 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 1 into 1 6.759 * [taylor]: Taking taylor expansion of f in n 6.759 * [backup-simplify]: Simplify f into f 6.759 * [backup-simplify]: Simplify (- 0) into 0 6.760 * [backup-simplify]: Simplify (+ f 0) into f 6.760 * [backup-simplify]: Simplify (+ 0 f) into f 6.760 * [backup-simplify]: Simplify (/ f f) into 1 6.760 * [backup-simplify]: Simplify (* -1 1) into -1 6.760 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.760 * [taylor]: Taking taylor expansion of 1 in n 6.760 * [backup-simplify]: Simplify 1 into 1 6.760 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 6.760 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 6.760 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 6.760 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 6.760 * [taylor]: Taking taylor expansion of -1 in f 6.760 * [backup-simplify]: Simplify -1 into -1 6.760 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.760 * [taylor]: Taking taylor expansion of (- f n) in f 6.760 * [taylor]: Taking taylor expansion of f in f 6.760 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [taylor]: Taking taylor expansion of n in f 6.761 * [backup-simplify]: Simplify n into n 6.761 * [taylor]: Taking taylor expansion of (+ n f) in f 6.761 * [taylor]: Taking taylor expansion of n in f 6.761 * [backup-simplify]: Simplify n into n 6.761 * [taylor]: Taking taylor expansion of f in f 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [backup-simplify]: Simplify (- n) into (- n) 6.761 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.761 * [backup-simplify]: Simplify (+ n 0) into n 6.761 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.761 * [backup-simplify]: Simplify (* -1 -1) into 1 6.761 * [backup-simplify]: Simplify (exp 1) into E 6.761 * [taylor]: Taking taylor expansion of 1 in f 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 6.761 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 6.761 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 6.761 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 6.761 * [taylor]: Taking taylor expansion of -1 in f 6.761 * [backup-simplify]: Simplify -1 into -1 6.761 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.761 * [taylor]: Taking taylor expansion of (- f n) in f 6.761 * [taylor]: Taking taylor expansion of f in f 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [taylor]: Taking taylor expansion of n in f 6.761 * [backup-simplify]: Simplify n into n 6.761 * [taylor]: Taking taylor expansion of (+ n f) in f 6.761 * [taylor]: Taking taylor expansion of n in f 6.761 * [backup-simplify]: Simplify n into n 6.761 * [taylor]: Taking taylor expansion of f in f 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [backup-simplify]: Simplify (- n) into (- n) 6.761 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.762 * [backup-simplify]: Simplify (+ n 0) into n 6.762 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.762 * [backup-simplify]: Simplify (* -1 -1) into 1 6.762 * [backup-simplify]: Simplify (exp 1) into E 6.762 * [taylor]: Taking taylor expansion of 1 in f 6.762 * [backup-simplify]: Simplify 1 into 1 6.762 * [backup-simplify]: Simplify (- 1) into -1 6.762 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 6.763 * [taylor]: Taking taylor expansion of (- E 1) in n 6.763 * [taylor]: Taking taylor expansion of E in n 6.763 * [backup-simplify]: Simplify E into E 6.763 * [taylor]: Taking taylor expansion of 1 in n 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (- 1) into -1 6.763 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 6.763 * [backup-simplify]: Simplify (- E 1) into (- E 1) 6.764 * [backup-simplify]: Simplify (- 0) into 0 6.764 * [backup-simplify]: Simplify (+ 1 0) into 1 6.764 * [backup-simplify]: Simplify (+ 0 1) into 1 6.765 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 6.765 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.765 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 6.765 * [backup-simplify]: Simplify (- 0) into 0 6.766 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 6.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 6.766 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 6.766 * [taylor]: Taking taylor expansion of 2 in n 6.766 * [backup-simplify]: Simplify 2 into 2 6.766 * [taylor]: Taking taylor expansion of (/ E n) in n 6.766 * [taylor]: Taking taylor expansion of E in n 6.766 * [backup-simplify]: Simplify E into E 6.766 * [taylor]: Taking taylor expansion of n in n 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (/ E 1) into E 6.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 6.767 * [backup-simplify]: Simplify (- 0) into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.768 * [backup-simplify]: Simplify (+ 0 0) into 0 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.768 * [backup-simplify]: Simplify (+ 0 0) into 0 6.768 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 6.769 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.770 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 6.770 * [backup-simplify]: Simplify (- 0) into 0 6.770 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 6.770 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 6.770 * [taylor]: Taking taylor expansion of 4 in n 6.770 * [backup-simplify]: Simplify 4 into 4 6.770 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 6.770 * [taylor]: Taking taylor expansion of E in n 6.770 * [backup-simplify]: Simplify E into E 6.770 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.770 * [taylor]: Taking taylor expansion of n in n 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.771 * [backup-simplify]: Simplify (* 1 1) into 1 6.771 * [backup-simplify]: Simplify (/ E 1) into E 6.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 6.777 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify (+ 0 0) into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify (- 0) into 0 6.778 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.779 * [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))) 6.780 * [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)))) 6.781 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 6.782 * [backup-simplify]: Simplify (- 0) into 0 6.782 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 6.782 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 6.782 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 6.782 * [taylor]: Taking taylor expansion of 22/3 in n 6.782 * [backup-simplify]: Simplify 22/3 into 22/3 6.782 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 6.782 * [taylor]: Taking taylor expansion of E in n 6.782 * [backup-simplify]: Simplify E into E 6.782 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.782 * [taylor]: Taking taylor expansion of n in n 6.782 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify 1 into 1 6.783 * [backup-simplify]: Simplify (* 1 1) into 1 6.783 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (/ E 1) into E 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.793 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.793 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify (- E 1) into (- E 1) 6.794 * [backup-simplify]: Simplify (expm1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 6.794 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 6.794 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 6.794 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 6.794 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 6.794 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 6.794 * [taylor]: Taking taylor expansion of -1 in n 6.795 * [backup-simplify]: Simplify -1 into -1 6.795 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 6.795 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.795 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.795 * [taylor]: Taking taylor expansion of f in n 6.795 * [backup-simplify]: Simplify f into f 6.795 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.795 * [taylor]: Taking taylor expansion of n in n 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [backup-simplify]: Simplify (/ 1 1) into 1 6.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.795 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.795 * [taylor]: Taking taylor expansion of f in n 6.795 * [backup-simplify]: Simplify f into f 6.795 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.795 * [taylor]: Taking taylor expansion of n in n 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ 1 1) into 1 6.796 * [backup-simplify]: Simplify (- 1) into -1 6.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.797 * [backup-simplify]: Simplify (+ 0 1) into 1 6.798 * [backup-simplify]: Simplify (/ -1 1) into -1 6.798 * [backup-simplify]: Simplify (* -1 -1) into 1 6.798 * [backup-simplify]: Simplify (exp 1) into E 6.798 * [taylor]: Taking taylor expansion of 1 in n 6.798 * [backup-simplify]: Simplify 1 into 1 6.798 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 6.798 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 6.798 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 6.798 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 6.798 * [taylor]: Taking taylor expansion of -1 in f 6.798 * [backup-simplify]: Simplify -1 into -1 6.798 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.798 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.798 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.798 * [taylor]: Taking taylor expansion of f in f 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (/ 1 1) into 1 6.799 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.799 * [taylor]: Taking taylor expansion of n in f 6.799 * [backup-simplify]: Simplify n into n 6.799 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.799 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.799 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.799 * [taylor]: Taking taylor expansion of f in f 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (/ 1 1) into 1 6.800 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.800 * [taylor]: Taking taylor expansion of n in f 6.800 * [backup-simplify]: Simplify n into n 6.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.800 * [backup-simplify]: Simplify (+ 1 0) into 1 6.801 * [backup-simplify]: Simplify (+ 1 0) into 1 6.801 * [backup-simplify]: Simplify (/ 1 1) into 1 6.801 * [backup-simplify]: Simplify (* -1 1) into -1 6.802 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.802 * [taylor]: Taking taylor expansion of 1 in f 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 6.802 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 6.802 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 6.802 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 6.802 * [taylor]: Taking taylor expansion of -1 in f 6.802 * [backup-simplify]: Simplify -1 into -1 6.802 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.802 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.802 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.802 * [taylor]: Taking taylor expansion of f in f 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.803 * [backup-simplify]: Simplify (/ 1 1) into 1 6.803 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.803 * [taylor]: Taking taylor expansion of n in f 6.803 * [backup-simplify]: Simplify n into n 6.803 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.803 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.803 * [taylor]: Taking taylor expansion of f in f 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (/ 1 1) into 1 6.804 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.804 * [taylor]: Taking taylor expansion of n in f 6.804 * [backup-simplify]: Simplify n into n 6.804 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.804 * [backup-simplify]: Simplify (+ 1 0) into 1 6.805 * [backup-simplify]: Simplify (+ 1 0) into 1 6.805 * [backup-simplify]: Simplify (/ 1 1) into 1 6.805 * [backup-simplify]: Simplify (* -1 1) into -1 6.806 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.806 * [taylor]: Taking taylor expansion of 1 in f 6.806 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (- 1) into -1 6.807 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 6.807 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 6.807 * [taylor]: Taking taylor expansion of (exp -1) in n 6.807 * [taylor]: Taking taylor expansion of -1 in n 6.807 * [backup-simplify]: Simplify -1 into -1 6.808 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.808 * [taylor]: Taking taylor expansion of 1 in n 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (- 1) into -1 6.809 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 6.810 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 6.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.810 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.810 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.811 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 6.811 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 6.812 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 6.812 * [backup-simplify]: Simplify (- 0) into 0 6.812 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 6.812 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 6.812 * [taylor]: Taking taylor expansion of 2 in n 6.812 * [backup-simplify]: Simplify 2 into 2 6.812 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.812 * [taylor]: Taking taylor expansion of (exp -1) in n 6.812 * [taylor]: Taking taylor expansion of -1 in n 6.812 * [backup-simplify]: Simplify -1 into -1 6.813 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.813 * [taylor]: Taking taylor expansion of n in n 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.814 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.815 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 6.815 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.816 * [backup-simplify]: Simplify (- 0) into 0 6.816 * [backup-simplify]: Simplify (+ 0 0) into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.817 * [backup-simplify]: Simplify (- 0) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 6.819 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.820 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.820 * [backup-simplify]: Simplify (- 0) into 0 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [taylor]: Taking taylor expansion of 0 in n 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.829 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.830 * [backup-simplify]: Simplify (- 0) into 0 6.830 * [backup-simplify]: Simplify (+ 0 0) into 0 6.830 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.831 * [backup-simplify]: Simplify (- 0) into 0 6.831 * [backup-simplify]: Simplify (+ 0 0) into 0 6.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.832 * [backup-simplify]: Simplify (+ 0 0) into 0 6.833 * [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)))) 6.834 * [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))) 6.834 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 6.835 * [backup-simplify]: Simplify (- 0) into 0 6.835 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 6.835 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 6.835 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 6.835 * [taylor]: Taking taylor expansion of 2/3 in n 6.835 * [backup-simplify]: Simplify 2/3 into 2/3 6.835 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.835 * [taylor]: Taking taylor expansion of (exp -1) in n 6.835 * [taylor]: Taking taylor expansion of -1 in n 6.835 * [backup-simplify]: Simplify -1 into -1 6.836 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.836 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.836 * [taylor]: Taking taylor expansion of n in n 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (* 1 1) into 1 6.836 * [backup-simplify]: Simplify (* 1 1) into 1 6.837 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.838 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.848 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.851 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.852 * [backup-simplify]: Simplify (- 0) into 0 6.852 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 6.853 * [backup-simplify]: Simplify (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 6.853 * [approximate]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.853 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.853 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 6.853 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.853 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.853 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.853 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.853 * [taylor]: Taking taylor expansion of n in n 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 1 into 1 6.854 * [backup-simplify]: Simplify (/ 1 1) into 1 6.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.854 * [taylor]: Taking taylor expansion of f in n 6.854 * [backup-simplify]: Simplify f into f 6.854 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.854 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.854 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.854 * [taylor]: Taking taylor expansion of f in n 6.854 * [backup-simplify]: Simplify f into f 6.854 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.854 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.854 * [taylor]: Taking taylor expansion of n in n 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 1 into 1 6.855 * [backup-simplify]: Simplify (/ 1 1) into 1 6.855 * [backup-simplify]: Simplify (+ 1 0) into 1 6.855 * [backup-simplify]: Simplify (+ 0 1) into 1 6.856 * [backup-simplify]: Simplify (/ 1 1) into 1 6.856 * [backup-simplify]: Simplify (exp 1) into E 6.856 * [taylor]: Taking taylor expansion of 1 in n 6.856 * [backup-simplify]: Simplify 1 into 1 6.856 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.856 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 6.856 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.856 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.856 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.856 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.856 * [taylor]: Taking taylor expansion of n in f 6.856 * [backup-simplify]: Simplify n into n 6.856 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.856 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.856 * [taylor]: Taking taylor expansion of f in f 6.856 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (/ 1 1) into 1 6.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.857 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.857 * [taylor]: Taking taylor expansion of f in f 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (/ 1 1) into 1 6.857 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.857 * [taylor]: Taking taylor expansion of n in f 6.857 * [backup-simplify]: Simplify n into n 6.857 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.858 * [backup-simplify]: Simplify (- 1) into -1 6.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.859 * [backup-simplify]: Simplify (+ 1 0) into 1 6.859 * [backup-simplify]: Simplify (/ -1 1) into -1 6.859 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.859 * [taylor]: Taking taylor expansion of 1 in f 6.859 * [backup-simplify]: Simplify 1 into 1 6.859 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.860 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 6.860 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.860 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.860 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.860 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.860 * [taylor]: Taking taylor expansion of n in f 6.860 * [backup-simplify]: Simplify n into n 6.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.860 * [taylor]: Taking taylor expansion of f in f 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [backup-simplify]: Simplify (/ 1 1) into 1 6.860 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.860 * [taylor]: Taking taylor expansion of f in f 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.861 * [backup-simplify]: Simplify (/ 1 1) into 1 6.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.861 * [taylor]: Taking taylor expansion of n in f 6.861 * [backup-simplify]: Simplify n into n 6.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.861 * [backup-simplify]: Simplify (- 1) into -1 6.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.862 * [backup-simplify]: Simplify (+ 1 0) into 1 6.862 * [backup-simplify]: Simplify (/ -1 1) into -1 6.863 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.863 * [taylor]: Taking taylor expansion of 1 in f 6.863 * [backup-simplify]: Simplify 1 into 1 6.863 * [backup-simplify]: Simplify (- 1) into -1 6.864 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 6.864 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 6.864 * [taylor]: Taking taylor expansion of (exp -1) in n 6.864 * [taylor]: Taking taylor expansion of -1 in n 6.864 * [backup-simplify]: Simplify -1 into -1 6.864 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.864 * [taylor]: Taking taylor expansion of 1 in n 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (- 1) into -1 6.866 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 6.866 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.867 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.867 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.868 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 6.868 * [backup-simplify]: Simplify (- 0) into 0 6.868 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 6.868 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 6.868 * [taylor]: Taking taylor expansion of 2 in n 6.868 * [backup-simplify]: Simplify 2 into 2 6.868 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.868 * [taylor]: Taking taylor expansion of (exp -1) in n 6.868 * [taylor]: Taking taylor expansion of -1 in n 6.869 * [backup-simplify]: Simplify -1 into -1 6.869 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.869 * [taylor]: Taking taylor expansion of n in n 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.870 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [backup-simplify]: Simplify (+ 0 0) into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (- 0) into 0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.876 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.876 * [backup-simplify]: Simplify (- 0) into 0 6.876 * [backup-simplify]: Simplify (+ 0 0) into 0 6.876 * [taylor]: Taking taylor expansion of 0 in n 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.878 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.880 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (- 0) into 0 6.881 * [backup-simplify]: Simplify (+ 0 0) into 0 6.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.883 * [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))) 6.884 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 6.884 * [backup-simplify]: Simplify (- 0) into 0 6.884 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 6.884 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 6.885 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 6.885 * [taylor]: Taking taylor expansion of 2/3 in n 6.885 * [backup-simplify]: Simplify 2/3 into 2/3 6.885 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.885 * [taylor]: Taking taylor expansion of (exp -1) in n 6.885 * [taylor]: Taking taylor expansion of -1 in n 6.885 * [backup-simplify]: Simplify -1 into -1 6.885 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.885 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.885 * [taylor]: Taking taylor expansion of n in n 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (* 1 1) into 1 6.885 * [backup-simplify]: Simplify (* 1 1) into 1 6.886 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.887 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.890 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.892 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 6.895 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 6.895 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 6.895 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 6.895 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 6.895 * [taylor]: Taking taylor expansion of -1 in n 6.895 * [backup-simplify]: Simplify -1 into -1 6.895 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 6.895 * [taylor]: Taking taylor expansion of (- f n) in n 6.895 * [taylor]: Taking taylor expansion of f in n 6.895 * [backup-simplify]: Simplify f into f 6.895 * [taylor]: Taking taylor expansion of n in n 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of (+ n f) in n 6.895 * [taylor]: Taking taylor expansion of n in n 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [taylor]: Taking taylor expansion of f in n 6.895 * [backup-simplify]: Simplify f into f 6.896 * [backup-simplify]: Simplify (- 0) into 0 6.896 * [backup-simplify]: Simplify (+ f 0) into f 6.896 * [backup-simplify]: Simplify (+ 0 f) into f 6.896 * [backup-simplify]: Simplify (/ f f) into 1 6.896 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 6.896 * [taylor]: Taking taylor expansion of -1 in f 6.896 * [backup-simplify]: Simplify -1 into -1 6.896 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.896 * [taylor]: Taking taylor expansion of (- f n) in f 6.896 * [taylor]: Taking taylor expansion of f in f 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [taylor]: Taking taylor expansion of n in f 6.896 * [backup-simplify]: Simplify n into n 6.896 * [taylor]: Taking taylor expansion of (+ n f) in f 6.896 * [taylor]: Taking taylor expansion of n in f 6.896 * [backup-simplify]: Simplify n into n 6.896 * [taylor]: Taking taylor expansion of f in f 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (- n) into (- n) 6.896 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.896 * [backup-simplify]: Simplify (+ n 0) into n 6.896 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.896 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 6.896 * [taylor]: Taking taylor expansion of -1 in f 6.896 * [backup-simplify]: Simplify -1 into -1 6.896 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.896 * [taylor]: Taking taylor expansion of (- f n) in f 6.896 * [taylor]: Taking taylor expansion of f in f 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [taylor]: Taking taylor expansion of n in f 6.896 * [backup-simplify]: Simplify n into n 6.896 * [taylor]: Taking taylor expansion of (+ n f) in f 6.896 * [taylor]: Taking taylor expansion of n in f 6.896 * [backup-simplify]: Simplify n into n 6.896 * [taylor]: Taking taylor expansion of f in f 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.897 * [backup-simplify]: Simplify (- n) into (- n) 6.897 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.897 * [backup-simplify]: Simplify (+ n 0) into n 6.897 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.897 * [backup-simplify]: Simplify (* -1 -1) into 1 6.897 * [taylor]: Taking taylor expansion of 1 in n 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.897 * [backup-simplify]: Simplify (+ 1 0) into 1 6.898 * [backup-simplify]: Simplify (+ 0 1) into 1 6.898 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 6.899 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.899 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.899 * [taylor]: Taking taylor expansion of 2 in n 6.899 * [backup-simplify]: Simplify 2 into 2 6.899 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.899 * [taylor]: Taking taylor expansion of n in n 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [backup-simplify]: Simplify (/ 1 1) into 1 6.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.901 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.901 * [backup-simplify]: Simplify (- 0) into 0 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify (- 0) into 0 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.902 * [backup-simplify]: Simplify (+ 0 0) into 0 6.903 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 6.903 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.903 * [taylor]: Taking taylor expansion of 2 in n 6.903 * [backup-simplify]: Simplify 2 into 2 6.903 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.904 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.904 * [taylor]: Taking taylor expansion of n in n 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (* 1 1) into 1 6.904 * [backup-simplify]: Simplify (/ 1 1) into 1 6.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.908 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.911 * [backup-simplify]: Simplify (- 0) into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (- 0) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [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))) 6.913 * [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)))) 6.913 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.914 * [taylor]: Taking taylor expansion of 2 in n 6.914 * [backup-simplify]: Simplify 2 into 2 6.914 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.914 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.914 * [taylor]: Taking taylor expansion of n in n 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [backup-simplify]: Simplify (* 1 1) into 1 6.914 * [backup-simplify]: Simplify (* 1 1) into 1 6.915 * [backup-simplify]: Simplify (/ 1 1) into 1 6.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (- 0) into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 6.925 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.925 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 6.925 * [taylor]: Taking taylor expansion of -1 in n 6.925 * [backup-simplify]: Simplify -1 into -1 6.925 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 6.925 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.925 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.925 * [taylor]: Taking taylor expansion of f in n 6.925 * [backup-simplify]: Simplify f into f 6.925 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.925 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.925 * [taylor]: Taking taylor expansion of n in n 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (/ 1 1) into 1 6.926 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.926 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.926 * [taylor]: Taking taylor expansion of f in n 6.926 * [backup-simplify]: Simplify f into f 6.926 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.926 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.926 * [taylor]: Taking taylor expansion of n in n 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ 1 1) into 1 6.927 * [backup-simplify]: Simplify (- 1) into -1 6.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.927 * [backup-simplify]: Simplify (+ 0 1) into 1 6.928 * [backup-simplify]: Simplify (/ -1 1) into -1 6.928 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 6.928 * [taylor]: Taking taylor expansion of -1 in f 6.928 * [backup-simplify]: Simplify -1 into -1 6.928 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.928 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.928 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.928 * [taylor]: Taking taylor expansion of f in f 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 1 into 1 6.928 * [backup-simplify]: Simplify (/ 1 1) into 1 6.928 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.928 * [taylor]: Taking taylor expansion of n in f 6.929 * [backup-simplify]: Simplify n into n 6.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.929 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.929 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.929 * [taylor]: Taking taylor expansion of f in f 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (/ 1 1) into 1 6.929 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.929 * [taylor]: Taking taylor expansion of n in f 6.929 * [backup-simplify]: Simplify n into n 6.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.930 * [backup-simplify]: Simplify (+ 1 0) into 1 6.930 * [backup-simplify]: Simplify (+ 1 0) into 1 6.931 * [backup-simplify]: Simplify (/ 1 1) into 1 6.931 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 6.931 * [taylor]: Taking taylor expansion of -1 in f 6.931 * [backup-simplify]: Simplify -1 into -1 6.931 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.931 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.931 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.931 * [taylor]: Taking taylor expansion of f in f 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify 1 into 1 6.931 * [backup-simplify]: Simplify (/ 1 1) into 1 6.931 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.931 * [taylor]: Taking taylor expansion of n in f 6.931 * [backup-simplify]: Simplify n into n 6.931 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.931 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.932 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.932 * [taylor]: Taking taylor expansion of f in f 6.932 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify 1 into 1 6.932 * [backup-simplify]: Simplify (/ 1 1) into 1 6.932 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.932 * [taylor]: Taking taylor expansion of n in f 6.932 * [backup-simplify]: Simplify n into n 6.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.933 * [backup-simplify]: Simplify (+ 1 0) into 1 6.933 * [backup-simplify]: Simplify (+ 1 0) into 1 6.934 * [backup-simplify]: Simplify (/ 1 1) into 1 6.934 * [backup-simplify]: Simplify (* -1 1) into -1 6.934 * [taylor]: Taking taylor expansion of -1 in n 6.934 * [backup-simplify]: Simplify -1 into -1 6.934 * [backup-simplify]: Simplify -1 into -1 6.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.935 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.936 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 6.937 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 6.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.937 * [taylor]: Taking taylor expansion of 2 in n 6.937 * [backup-simplify]: Simplify 2 into 2 6.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.937 * [taylor]: Taking taylor expansion of n in n 6.937 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify 1 into 1 6.937 * [backup-simplify]: Simplify (/ 1 1) into 1 6.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.940 * [backup-simplify]: Simplify (- 0) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.942 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 6.951 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.951 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.951 * [taylor]: Taking taylor expansion of 2 in n 6.951 * [backup-simplify]: Simplify 2 into 2 6.951 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.951 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.951 * [taylor]: Taking taylor expansion of n in n 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (* 1 1) into 1 6.952 * [backup-simplify]: Simplify (/ 1 1) into 1 6.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.960 * [backup-simplify]: Simplify (- 0) into 0 6.960 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [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)))) 6.964 * [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))) 6.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.964 * [taylor]: Taking taylor expansion of 2 in n 6.964 * [backup-simplify]: Simplify 2 into 2 6.964 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.964 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.964 * [taylor]: Taking taylor expansion of n in n 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (* 1 1) into 1 6.965 * [backup-simplify]: Simplify (* 1 1) into 1 6.965 * [backup-simplify]: Simplify (/ 1 1) into 1 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify -1 into -1 6.973 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 6.973 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 6.973 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.973 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.973 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.973 * [taylor]: Taking taylor expansion of n in n 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify (/ 1 1) into 1 6.974 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.974 * [taylor]: Taking taylor expansion of f in n 6.974 * [backup-simplify]: Simplify f into f 6.974 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.974 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.974 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.974 * [taylor]: Taking taylor expansion of f in n 6.974 * [backup-simplify]: Simplify f into f 6.974 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.974 * [taylor]: Taking taylor expansion of n in n 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify (/ 1 1) into 1 6.975 * [backup-simplify]: Simplify (+ 1 0) into 1 6.975 * [backup-simplify]: Simplify (+ 0 1) into 1 6.976 * [backup-simplify]: Simplify (/ 1 1) into 1 6.976 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.976 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.976 * [taylor]: Taking taylor expansion of n in f 6.976 * [backup-simplify]: Simplify n into n 6.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.976 * [taylor]: Taking taylor expansion of f in f 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [backup-simplify]: Simplify (/ 1 1) into 1 6.976 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.977 * [taylor]: Taking taylor expansion of f in f 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.977 * [taylor]: Taking taylor expansion of n in f 6.977 * [backup-simplify]: Simplify n into n 6.977 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.977 * [backup-simplify]: Simplify (- 1) into -1 6.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.978 * [backup-simplify]: Simplify (+ 1 0) into 1 6.979 * [backup-simplify]: Simplify (/ -1 1) into -1 6.979 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.979 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.979 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.979 * [taylor]: Taking taylor expansion of n in f 6.979 * [backup-simplify]: Simplify n into n 6.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.979 * [taylor]: Taking taylor expansion of f in f 6.979 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 1 into 1 6.979 * [backup-simplify]: Simplify (/ 1 1) into 1 6.979 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.979 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.980 * [taylor]: Taking taylor expansion of f in f 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 1 into 1 6.980 * [backup-simplify]: Simplify (/ 1 1) into 1 6.980 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.980 * [taylor]: Taking taylor expansion of n in f 6.980 * [backup-simplify]: Simplify n into n 6.980 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.980 * [backup-simplify]: Simplify (- 1) into -1 6.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.981 * [backup-simplify]: Simplify (+ 1 0) into 1 6.982 * [backup-simplify]: Simplify (/ -1 1) into -1 6.982 * [taylor]: Taking taylor expansion of -1 in n 6.982 * [backup-simplify]: Simplify -1 into -1 6.982 * [backup-simplify]: Simplify -1 into -1 6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (- 0) into 0 6.983 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.984 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.984 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.984 * [taylor]: Taking taylor expansion of 2 in n 6.984 * [backup-simplify]: Simplify 2 into 2 6.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.985 * [taylor]: Taking taylor expansion of n in n 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (/ 1 1) into 1 6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.988 * [backup-simplify]: Simplify (- 0) into 0 6.988 * [backup-simplify]: Simplify (+ 0 0) into 0 6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.990 * [backup-simplify]: Simplify (+ 0 0) into 0 6.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.991 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.991 * [taylor]: Taking taylor expansion of 2 in n 6.991 * [backup-simplify]: Simplify 2 into 2 6.991 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.991 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.991 * [taylor]: Taking taylor expansion of n in n 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (* 1 1) into 1 6.992 * [backup-simplify]: Simplify (/ 1 1) into 1 6.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.996 * [backup-simplify]: Simplify (- 0) into 0 6.996 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (- 0) into 0 7.000 * [backup-simplify]: Simplify (+ 0 0) into 0 7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.002 * [backup-simplify]: Simplify (+ 0 0) into 0 7.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 7.004 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.004 * [taylor]: Taking taylor expansion of 2 in n 7.004 * [backup-simplify]: Simplify 2 into 2 7.004 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.004 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.004 * [taylor]: Taking taylor expansion of n in n 7.004 * [backup-simplify]: Simplify 0 into 0 7.004 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (* 1 1) into 1 7.005 * [backup-simplify]: Simplify (* 1 1) into 1 7.005 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify -1 into -1 7.014 * * * * [progress]: [ 3 / 4 ] generating series at (2) 7.014 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) into (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.014 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in (f n) around 0 7.014 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in n 7.014 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in n 7.014 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.015 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in n 7.015 * [taylor]: Taking taylor expansion of 1 in n 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in n 7.015 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 7.015 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in n 7.015 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 7.015 * [taylor]: Taking taylor expansion of -1 in n 7.015 * [backup-simplify]: Simplify -1 into -1 7.015 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 7.015 * [taylor]: Taking taylor expansion of (- f n) in n 7.015 * [taylor]: Taking taylor expansion of f in n 7.015 * [backup-simplify]: Simplify f into f 7.015 * [taylor]: Taking taylor expansion of n in n 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [taylor]: Taking taylor expansion of (+ n f) in n 7.015 * [taylor]: Taking taylor expansion of n in n 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [taylor]: Taking taylor expansion of f in n 7.015 * [backup-simplify]: Simplify f into f 7.016 * [backup-simplify]: Simplify (- 0) into 0 7.016 * [backup-simplify]: Simplify (+ f 0) into f 7.016 * [backup-simplify]: Simplify (+ 0 f) into f 7.016 * [backup-simplify]: Simplify (/ f f) into 1 7.016 * [backup-simplify]: Simplify (* -1 1) into -1 7.017 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.017 * [taylor]: Taking taylor expansion of 1 in n 7.017 * [backup-simplify]: Simplify 1 into 1 7.017 * [backup-simplify]: Simplify (- 1) into -1 7.018 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.020 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.021 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.021 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.021 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in f 7.021 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.022 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.022 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.022 * [taylor]: Taking taylor expansion of 1 in f 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 7.022 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 7.022 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 7.022 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 7.022 * [taylor]: Taking taylor expansion of -1 in f 7.022 * [backup-simplify]: Simplify -1 into -1 7.022 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 7.022 * [taylor]: Taking taylor expansion of (- f n) in f 7.022 * [taylor]: Taking taylor expansion of f in f 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [taylor]: Taking taylor expansion of n in f 7.022 * [backup-simplify]: Simplify n into n 7.022 * [taylor]: Taking taylor expansion of (+ n f) in f 7.022 * [taylor]: Taking taylor expansion of n in f 7.022 * [backup-simplify]: Simplify n into n 7.022 * [taylor]: Taking taylor expansion of f in f 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (- n) into (- n) 7.022 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.022 * [backup-simplify]: Simplify (+ n 0) into n 7.022 * [backup-simplify]: Simplify (/ (- n) n) into -1 7.023 * [backup-simplify]: Simplify (* -1 -1) into 1 7.023 * [backup-simplify]: Simplify (exp 1) into E 7.023 * [taylor]: Taking taylor expansion of 1 in f 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (- 1) into -1 7.024 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.025 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.025 * [backup-simplify]: Simplify (log E) into 1 7.025 * [backup-simplify]: Simplify (/ 1 1) into 1 7.025 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in f 7.025 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.026 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.026 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.026 * [taylor]: Taking taylor expansion of 1 in f 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 7.026 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 7.026 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 7.026 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 7.026 * [taylor]: Taking taylor expansion of -1 in f 7.026 * [backup-simplify]: Simplify -1 into -1 7.026 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 7.026 * [taylor]: Taking taylor expansion of (- f n) in f 7.026 * [taylor]: Taking taylor expansion of f in f 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [taylor]: Taking taylor expansion of n in f 7.026 * [backup-simplify]: Simplify n into n 7.026 * [taylor]: Taking taylor expansion of (+ n f) in f 7.026 * [taylor]: Taking taylor expansion of n in f 7.026 * [backup-simplify]: Simplify n into n 7.026 * [taylor]: Taking taylor expansion of f in f 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify (- n) into (- n) 7.026 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.026 * [backup-simplify]: Simplify (+ n 0) into n 7.027 * [backup-simplify]: Simplify (/ (- n) n) into -1 7.027 * [backup-simplify]: Simplify (* -1 -1) into 1 7.027 * [backup-simplify]: Simplify (exp 1) into E 7.027 * [taylor]: Taking taylor expansion of 1 in f 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (- 1) into -1 7.028 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.029 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.029 * [backup-simplify]: Simplify (log E) into 1 7.029 * [backup-simplify]: Simplify (/ 1 1) into 1 7.029 * [taylor]: Taking taylor expansion of 1 in n 7.029 * [backup-simplify]: Simplify 1 into 1 7.029 * [backup-simplify]: Simplify 1 into 1 7.030 * [backup-simplify]: Simplify (- 0) into 0 7.031 * [backup-simplify]: Simplify (+ 1 0) into 1 7.031 * [backup-simplify]: Simplify (+ 0 1) into 1 7.031 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 7.032 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 7.032 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 7.033 * [backup-simplify]: Simplify (- 0) into 0 7.033 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 7.033 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 7.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 n) 1)))) into (* 2 (/ 1 n)) 7.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.034 * [taylor]: Taking taylor expansion of 2 in n 7.034 * [backup-simplify]: Simplify 2 into 2 7.034 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.034 * [taylor]: Taking taylor expansion of n in n 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 1 into 1 7.035 * [backup-simplify]: Simplify (/ 1 1) into 1 7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify (- 0) into 0 7.038 * [backup-simplify]: Simplify (+ 0 0) into 0 7.038 * [backup-simplify]: Simplify (+ 0 0) into 0 7.039 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 7.039 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.040 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 7.040 * [backup-simplify]: Simplify (- 0) into 0 7.041 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 7.041 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 7.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 7.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 n)) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 2))) 7.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.043 * [taylor]: Taking taylor expansion of 2 in n 7.043 * [backup-simplify]: Simplify 2 into 2 7.043 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.043 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.043 * [taylor]: Taking taylor expansion of n in n 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.044 * [backup-simplify]: Simplify (* 1 1) into 1 7.044 * [backup-simplify]: Simplify (/ 1 1) into 1 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.048 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify 0 into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 7.053 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.054 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 7.054 * [backup-simplify]: Simplify (- 0) into 0 7.055 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 7.055 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 7.058 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 (pow n 3)) 1)) (* (* 2 (/ 1 n)) (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 3))) 7.059 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.059 * [taylor]: Taking taylor expansion of 2 in n 7.059 * [backup-simplify]: Simplify 2 into 2 7.059 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.059 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.059 * [taylor]: Taking taylor expansion of n in n 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (* 1 1) into 1 7.060 * [backup-simplify]: Simplify (* 1 1) into 1 7.060 * [backup-simplify]: Simplify (/ 1 1) into 1 7.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))))) into (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.069 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in (f n) around 0 7.069 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in n 7.069 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 7.069 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.069 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 7.070 * [taylor]: Taking taylor expansion of 1 in n 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 7.070 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 7.070 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 7.070 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 7.070 * [taylor]: Taking taylor expansion of -1 in n 7.070 * [backup-simplify]: Simplify -1 into -1 7.070 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 7.070 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.070 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.070 * [taylor]: Taking taylor expansion of f in n 7.070 * [backup-simplify]: Simplify f into f 7.070 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.070 * [taylor]: Taking taylor expansion of n in n 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (/ 1 1) into 1 7.071 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.071 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.071 * [taylor]: Taking taylor expansion of f in n 7.071 * [backup-simplify]: Simplify f into f 7.071 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.071 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.071 * [taylor]: Taking taylor expansion of n in n 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ 1 1) into 1 7.072 * [backup-simplify]: Simplify (- 1) into -1 7.072 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.072 * [backup-simplify]: Simplify (+ 0 1) into 1 7.073 * [backup-simplify]: Simplify (/ -1 1) into -1 7.073 * [backup-simplify]: Simplify (* -1 -1) into 1 7.073 * [backup-simplify]: Simplify (exp 1) into E 7.073 * [taylor]: Taking taylor expansion of 1 in n 7.073 * [backup-simplify]: Simplify 1 into 1 7.074 * [backup-simplify]: Simplify (- 1) into -1 7.074 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.075 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.075 * [backup-simplify]: Simplify (log E) into 1 7.075 * [backup-simplify]: Simplify (/ 1 1) into 1 7.075 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in f 7.075 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.076 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.076 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.076 * [taylor]: Taking taylor expansion of 1 in f 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.076 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 7.076 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.076 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 7.076 * [taylor]: Taking taylor expansion of -1 in f 7.076 * [backup-simplify]: Simplify -1 into -1 7.076 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 7.076 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.076 * [taylor]: Taking taylor expansion of f in f 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.076 * [backup-simplify]: Simplify (/ 1 1) into 1 7.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.077 * [taylor]: Taking taylor expansion of n in f 7.077 * [backup-simplify]: Simplify n into n 7.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.077 * [taylor]: Taking taylor expansion of f in f 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.077 * [taylor]: Taking taylor expansion of n in f 7.077 * [backup-simplify]: Simplify n into n 7.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.078 * [backup-simplify]: Simplify (+ 1 0) into 1 7.078 * [backup-simplify]: Simplify (+ 1 0) into 1 7.079 * [backup-simplify]: Simplify (/ 1 1) into 1 7.079 * [backup-simplify]: Simplify (* -1 1) into -1 7.079 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.079 * [taylor]: Taking taylor expansion of 1 in f 7.080 * [backup-simplify]: Simplify 1 into 1 7.080 * [backup-simplify]: Simplify (- 1) into -1 7.081 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.083 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.084 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.084 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.084 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in f 7.084 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.084 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.084 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.084 * [taylor]: Taking taylor expansion of 1 in f 7.084 * [backup-simplify]: Simplify 1 into 1 7.084 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.084 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 7.084 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.085 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 7.085 * [taylor]: Taking taylor expansion of -1 in f 7.085 * [backup-simplify]: Simplify -1 into -1 7.085 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 7.085 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.085 * [taylor]: Taking taylor expansion of f in f 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ 1 1) into 1 7.085 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.085 * [taylor]: Taking taylor expansion of n in f 7.085 * [backup-simplify]: Simplify n into n 7.085 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.085 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.085 * [taylor]: Taking taylor expansion of f in f 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.086 * [backup-simplify]: Simplify (/ 1 1) into 1 7.086 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.086 * [taylor]: Taking taylor expansion of n in f 7.086 * [backup-simplify]: Simplify n into n 7.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.086 * [backup-simplify]: Simplify (+ 1 0) into 1 7.087 * [backup-simplify]: Simplify (+ 1 0) into 1 7.087 * [backup-simplify]: Simplify (/ 1 1) into 1 7.088 * [backup-simplify]: Simplify (* -1 1) into -1 7.088 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.088 * [taylor]: Taking taylor expansion of 1 in f 7.088 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (- 1) into -1 7.089 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.091 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.092 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.093 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.093 * [taylor]: Taking taylor expansion of -1 in n 7.093 * [backup-simplify]: Simplify -1 into -1 7.093 * [backup-simplify]: Simplify -1 into -1 7.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.094 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.094 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.096 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 7.096 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 7.097 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 7.097 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 7.098 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 7.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 7.109 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 7.109 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.109 * [taylor]: Taking taylor expansion of 2 in n 7.109 * [backup-simplify]: Simplify 2 into 2 7.109 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.109 * [taylor]: Taking taylor expansion of n in n 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 1 into 1 7.109 * [backup-simplify]: Simplify (/ 1 1) into 1 7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.112 * [backup-simplify]: Simplify (- 0) into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.114 * [backup-simplify]: Simplify (- 0) into 0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.116 * [backup-simplify]: Simplify (+ 0 0) into 0 7.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 7.118 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.119 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.119 * [backup-simplify]: Simplify (- 0) into 0 7.119 * [backup-simplify]: Simplify (+ 0 0) into 0 7.120 * [backup-simplify]: Simplify (+ 0 0) into 0 7.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 7.124 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.124 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.124 * [taylor]: Taking taylor expansion of 2 in n 7.124 * [backup-simplify]: Simplify 2 into 2 7.124 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.124 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.124 * [taylor]: Taking taylor expansion of n in n 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [backup-simplify]: Simplify (* 1 1) into 1 7.125 * [backup-simplify]: Simplify (/ 1 1) into 1 7.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.129 * [backup-simplify]: Simplify (- 0) into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.132 * [backup-simplify]: Simplify (- 0) into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.133 * [backup-simplify]: Simplify (- 0) into 0 7.134 * [backup-simplify]: Simplify (+ 0 0) into 0 7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.135 * [backup-simplify]: Simplify (+ 0 0) into 0 7.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.138 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (* 2 (/ 1 (pow n 3))) 7.140 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 7.140 * [backup-simplify]: Simplify (- 0) into 0 7.141 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.141 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.147 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 7.148 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.148 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.148 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.148 * [taylor]: Taking taylor expansion of 2 in n 7.148 * [backup-simplify]: Simplify 2 into 2 7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.148 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.148 * [taylor]: Taking taylor expansion of n in n 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.149 * [backup-simplify]: Simplify (* 1 1) into 1 7.149 * [backup-simplify]: Simplify (* 1 1) into 1 7.149 * [backup-simplify]: Simplify (/ 1 1) into 1 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.159 * [backup-simplify]: Simplify (- 0) into 0 7.159 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify -1 into -1 7.159 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))))) into (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.160 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 7.160 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 7.160 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 7.160 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.160 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 7.160 * [taylor]: Taking taylor expansion of 1 in n 7.160 * [backup-simplify]: Simplify 1 into 1 7.160 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 7.160 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 7.160 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 7.160 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 7.160 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.160 * [taylor]: Taking taylor expansion of n in n 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 1 into 1 7.161 * [backup-simplify]: Simplify (/ 1 1) into 1 7.161 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.161 * [taylor]: Taking taylor expansion of f in n 7.161 * [backup-simplify]: Simplify f into f 7.161 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.161 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.161 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.161 * [taylor]: Taking taylor expansion of f in n 7.161 * [backup-simplify]: Simplify f into f 7.161 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.161 * [taylor]: Taking taylor expansion of n in n 7.161 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify 1 into 1 7.162 * [backup-simplify]: Simplify (/ 1 1) into 1 7.162 * [backup-simplify]: Simplify (+ 1 0) into 1 7.162 * [backup-simplify]: Simplify (+ 0 1) into 1 7.163 * [backup-simplify]: Simplify (/ 1 1) into 1 7.163 * [backup-simplify]: Simplify (exp 1) into E 7.163 * [taylor]: Taking taylor expansion of 1 in n 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (- 1) into -1 7.164 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.165 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.165 * [backup-simplify]: Simplify (log E) into 1 7.165 * [backup-simplify]: Simplify (/ 1 1) into 1 7.165 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 7.165 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.166 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.166 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.166 * [taylor]: Taking taylor expansion of 1 in f 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.166 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 7.166 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.166 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.166 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.166 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.166 * [taylor]: Taking taylor expansion of n in f 7.166 * [backup-simplify]: Simplify n into n 7.166 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.166 * [taylor]: Taking taylor expansion of f in f 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [backup-simplify]: Simplify (/ 1 1) into 1 7.166 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.166 * [taylor]: Taking taylor expansion of f in f 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (/ 1 1) into 1 7.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.167 * [taylor]: Taking taylor expansion of n in f 7.167 * [backup-simplify]: Simplify n into n 7.167 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.167 * [backup-simplify]: Simplify (- 1) into -1 7.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.167 * [backup-simplify]: Simplify (+ 1 0) into 1 7.168 * [backup-simplify]: Simplify (/ -1 1) into -1 7.168 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.168 * [taylor]: Taking taylor expansion of 1 in f 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (- 1) into -1 7.169 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.170 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.170 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.170 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.170 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 7.170 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.170 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.171 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.171 * [taylor]: Taking taylor expansion of 1 in f 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.171 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 7.171 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.171 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.171 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.171 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.171 * [taylor]: Taking taylor expansion of n in f 7.171 * [backup-simplify]: Simplify n into n 7.171 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.171 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.171 * [taylor]: Taking taylor expansion of f in f 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (/ 1 1) into 1 7.171 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.171 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.171 * [taylor]: Taking taylor expansion of f in f 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (/ 1 1) into 1 7.171 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.171 * [taylor]: Taking taylor expansion of n in f 7.171 * [backup-simplify]: Simplify n into n 7.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.172 * [backup-simplify]: Simplify (- 1) into -1 7.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.172 * [backup-simplify]: Simplify (+ 1 0) into 1 7.173 * [backup-simplify]: Simplify (/ -1 1) into -1 7.173 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.173 * [taylor]: Taking taylor expansion of 1 in f 7.173 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (- 1) into -1 7.174 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.174 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.175 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.175 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.175 * [taylor]: Taking taylor expansion of -1 in n 7.175 * [backup-simplify]: Simplify -1 into -1 7.175 * [backup-simplify]: Simplify -1 into -1 7.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (- 0) into 0 7.176 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.177 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 7.177 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 7.177 * [backup-simplify]: Simplify (- 0) into 0 7.178 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 7.178 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 7.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 7.179 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 7.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 7.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 7.179 * [taylor]: Taking taylor expansion of 2 in n 7.179 * [backup-simplify]: Simplify 2 into 2 7.179 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.179 * [taylor]: Taking taylor expansion of n in n 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (/ 1 1) into 1 7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.181 * [backup-simplify]: Simplify (- 0) into 0 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.181 * [backup-simplify]: Simplify (- 0) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.183 * [backup-simplify]: Simplify (+ 0 0) into 0 7.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.184 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.184 * [backup-simplify]: Simplify (- 0) into 0 7.184 * [backup-simplify]: Simplify (+ 0 0) into 0 7.185 * [backup-simplify]: Simplify (+ 0 0) into 0 7.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 7.187 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.187 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 7.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 7.187 * [taylor]: Taking taylor expansion of 2 in n 7.187 * [backup-simplify]: Simplify 2 into 2 7.187 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.187 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.187 * [taylor]: Taking taylor expansion of n in n 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.187 * [backup-simplify]: Simplify (* 1 1) into 1 7.188 * [backup-simplify]: Simplify (/ 1 1) into 1 7.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.191 * [backup-simplify]: Simplify 0 into 0 7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.192 * [backup-simplify]: Simplify (- 0) into 0 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.193 * [backup-simplify]: Simplify (- 0) into 0 7.193 * [backup-simplify]: Simplify (+ 0 0) into 0 7.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.195 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 7.198 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 7.198 * [backup-simplify]: Simplify (- 0) into 0 7.199 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.200 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.206 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 7.207 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.207 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 7.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 7.207 * [taylor]: Taking taylor expansion of 2 in n 7.207 * [backup-simplify]: Simplify 2 into 2 7.207 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.207 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.207 * [taylor]: Taking taylor expansion of n in n 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (* 1 1) into 1 7.208 * [backup-simplify]: Simplify (* 1 1) into 1 7.208 * [backup-simplify]: Simplify (/ 1 1) into 1 7.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (- 0) into 0 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify -1 into -1 7.218 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.218 * [backup-simplify]: Simplify (log1p (expm1 (/ (- f n) (- (+ f n))))) into (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) 7.218 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in (f n) around 0 7.218 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in n 7.218 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.218 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in n 7.218 * [taylor]: Taking taylor expansion of 1 in n 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in n 7.218 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 7.218 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in n 7.218 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 7.218 * [taylor]: Taking taylor expansion of -1 in n 7.219 * [backup-simplify]: Simplify -1 into -1 7.219 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 7.219 * [taylor]: Taking taylor expansion of (- f n) in n 7.219 * [taylor]: Taking taylor expansion of f in n 7.219 * [backup-simplify]: Simplify f into f 7.219 * [taylor]: Taking taylor expansion of n in n 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [taylor]: Taking taylor expansion of (+ n f) in n 7.219 * [taylor]: Taking taylor expansion of n in n 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 1 into 1 7.219 * [taylor]: Taking taylor expansion of f in n 7.219 * [backup-simplify]: Simplify f into f 7.219 * [backup-simplify]: Simplify (- 0) into 0 7.219 * [backup-simplify]: Simplify (+ f 0) into f 7.219 * [backup-simplify]: Simplify (+ 0 f) into f 7.219 * [backup-simplify]: Simplify (/ f f) into 1 7.220 * [backup-simplify]: Simplify (* -1 1) into -1 7.220 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.220 * [taylor]: Taking taylor expansion of 1 in n 7.220 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (- 1) into -1 7.222 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.223 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.224 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.224 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.224 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.224 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.224 * [taylor]: Taking taylor expansion of 1 in f 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 7.224 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 7.224 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 7.224 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 7.224 * [taylor]: Taking taylor expansion of -1 in f 7.224 * [backup-simplify]: Simplify -1 into -1 7.224 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 7.225 * [taylor]: Taking taylor expansion of (- f n) in f 7.225 * [taylor]: Taking taylor expansion of f in f 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [taylor]: Taking taylor expansion of n in f 7.225 * [backup-simplify]: Simplify n into n 7.225 * [taylor]: Taking taylor expansion of (+ n f) in f 7.225 * [taylor]: Taking taylor expansion of n in f 7.225 * [backup-simplify]: Simplify n into n 7.225 * [taylor]: Taking taylor expansion of f in f 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (- n) into (- n) 7.225 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.225 * [backup-simplify]: Simplify (+ n 0) into n 7.225 * [backup-simplify]: Simplify (/ (- n) n) into -1 7.225 * [backup-simplify]: Simplify (* -1 -1) into 1 7.225 * [backup-simplify]: Simplify (exp 1) into E 7.225 * [taylor]: Taking taylor expansion of 1 in f 7.225 * [backup-simplify]: Simplify 1 into 1 7.226 * [backup-simplify]: Simplify (- 1) into -1 7.226 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.227 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.227 * [backup-simplify]: Simplify (log E) into 1 7.227 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.227 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 7.227 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 7.227 * [taylor]: Taking taylor expansion of 1 in f 7.227 * [backup-simplify]: Simplify 1 into 1 7.227 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 7.227 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 7.227 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 7.227 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 7.227 * [taylor]: Taking taylor expansion of -1 in f 7.227 * [backup-simplify]: Simplify -1 into -1 7.227 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 7.227 * [taylor]: Taking taylor expansion of (- f n) in f 7.227 * [taylor]: Taking taylor expansion of f in f 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.227 * [taylor]: Taking taylor expansion of n in f 7.227 * [backup-simplify]: Simplify n into n 7.227 * [taylor]: Taking taylor expansion of (+ n f) in f 7.227 * [taylor]: Taking taylor expansion of n in f 7.227 * [backup-simplify]: Simplify n into n 7.227 * [taylor]: Taking taylor expansion of f in f 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.227 * [backup-simplify]: Simplify (- n) into (- n) 7.227 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.228 * [backup-simplify]: Simplify (+ n 0) into n 7.228 * [backup-simplify]: Simplify (/ (- n) n) into -1 7.228 * [backup-simplify]: Simplify (* -1 -1) into 1 7.228 * [backup-simplify]: Simplify (exp 1) into E 7.228 * [taylor]: Taking taylor expansion of 1 in f 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (- 1) into -1 7.228 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.229 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.229 * [backup-simplify]: Simplify (log E) into 1 7.229 * [taylor]: Taking taylor expansion of 1 in n 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (- 0) into 0 7.230 * [backup-simplify]: Simplify (+ 1 0) into 1 7.230 * [backup-simplify]: Simplify (+ 0 1) into 1 7.230 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 7.230 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 7.231 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 7.231 * [backup-simplify]: Simplify (- 0) into 0 7.231 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 7.231 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 7.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 7.232 * [taylor]: Taking taylor expansion of (/ -2 n) in n 7.232 * [taylor]: Taking taylor expansion of -2 in n 7.232 * [backup-simplify]: Simplify -2 into -2 7.232 * [taylor]: Taking taylor expansion of n in n 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ -2 1) into -2 7.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.232 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (- 0) into 0 7.233 * [backup-simplify]: Simplify (+ 0 0) into 0 7.233 * [backup-simplify]: Simplify (+ 0 0) into 0 7.233 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 7.234 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.234 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 7.234 * [backup-simplify]: Simplify (- 0) into 0 7.235 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 7.235 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 7.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 7.242 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 7.242 * [taylor]: Taking taylor expansion of 2 in n 7.242 * [backup-simplify]: Simplify 2 into 2 7.242 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.242 * [taylor]: Taking taylor expansion of n in n 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 1 into 1 7.242 * [backup-simplify]: Simplify (* 1 1) into 1 7.243 * [backup-simplify]: Simplify (/ 2 1) into 2 7.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify (- 0) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.246 * [backup-simplify]: Simplify (+ 0 0) into 0 7.247 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 7.247 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.248 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 7.248 * [backup-simplify]: Simplify (- 0) into 0 7.248 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 7.249 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 7.251 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 7.251 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 7.251 * [taylor]: Taking taylor expansion of -2 in n 7.251 * [backup-simplify]: Simplify -2 into -2 7.251 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.251 * [taylor]: Taking taylor expansion of n in n 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 1 into 1 7.251 * [backup-simplify]: Simplify (* 1 1) into 1 7.251 * [backup-simplify]: Simplify (* 1 1) into 1 7.252 * [backup-simplify]: Simplify (/ -2 1) into -2 7.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))))) into (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 7.259 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 7.259 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 7.259 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.259 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 7.259 * [taylor]: Taking taylor expansion of 1 in n 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 7.260 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 7.260 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 7.260 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 7.260 * [taylor]: Taking taylor expansion of -1 in n 7.260 * [backup-simplify]: Simplify -1 into -1 7.260 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 7.260 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.260 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.260 * [taylor]: Taking taylor expansion of f in n 7.260 * [backup-simplify]: Simplify f into f 7.260 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.260 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.260 * [taylor]: Taking taylor expansion of n in n 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (/ 1 1) into 1 7.260 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.260 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.261 * [taylor]: Taking taylor expansion of f in n 7.261 * [backup-simplify]: Simplify f into f 7.261 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.261 * [taylor]: Taking taylor expansion of n in n 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [backup-simplify]: Simplify (/ 1 1) into 1 7.261 * [backup-simplify]: Simplify (- 1) into -1 7.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.262 * [backup-simplify]: Simplify (+ 0 1) into 1 7.263 * [backup-simplify]: Simplify (/ -1 1) into -1 7.263 * [backup-simplify]: Simplify (* -1 -1) into 1 7.263 * [backup-simplify]: Simplify (exp 1) into E 7.263 * [taylor]: Taking taylor expansion of 1 in n 7.263 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (- 1) into -1 7.264 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.265 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.265 * [backup-simplify]: Simplify (log E) into 1 7.265 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.265 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.265 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.265 * [taylor]: Taking taylor expansion of 1 in f 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.266 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 7.266 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.266 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 7.266 * [taylor]: Taking taylor expansion of -1 in f 7.266 * [backup-simplify]: Simplify -1 into -1 7.266 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 7.266 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.266 * [taylor]: Taking taylor expansion of f in f 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ 1 1) into 1 7.266 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.266 * [taylor]: Taking taylor expansion of n in f 7.266 * [backup-simplify]: Simplify n into n 7.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.266 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.266 * [taylor]: Taking taylor expansion of f in f 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ 1 1) into 1 7.267 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.267 * [taylor]: Taking taylor expansion of n in f 7.267 * [backup-simplify]: Simplify n into n 7.267 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.267 * [backup-simplify]: Simplify (+ 1 0) into 1 7.268 * [backup-simplify]: Simplify (+ 1 0) into 1 7.268 * [backup-simplify]: Simplify (/ 1 1) into 1 7.269 * [backup-simplify]: Simplify (* -1 1) into -1 7.269 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.269 * [taylor]: Taking taylor expansion of 1 in f 7.269 * [backup-simplify]: Simplify 1 into 1 7.269 * [backup-simplify]: Simplify (- 1) into -1 7.270 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.272 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.273 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.273 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.273 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 7.273 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 7.273 * [taylor]: Taking taylor expansion of 1 in f 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.273 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 7.273 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 7.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 7.273 * [taylor]: Taking taylor expansion of -1 in f 7.273 * [backup-simplify]: Simplify -1 into -1 7.273 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 7.273 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.273 * [taylor]: Taking taylor expansion of f in f 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.274 * [taylor]: Taking taylor expansion of n in f 7.274 * [backup-simplify]: Simplify n into n 7.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.274 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.274 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.274 * [taylor]: Taking taylor expansion of f in f 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.274 * [taylor]: Taking taylor expansion of n in f 7.274 * [backup-simplify]: Simplify n into n 7.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.275 * [backup-simplify]: Simplify (+ 1 0) into 1 7.275 * [backup-simplify]: Simplify (+ 1 0) into 1 7.276 * [backup-simplify]: Simplify (/ 1 1) into 1 7.276 * [backup-simplify]: Simplify (* -1 1) into -1 7.277 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.277 * [taylor]: Taking taylor expansion of 1 in f 7.277 * [backup-simplify]: Simplify 1 into 1 7.277 * [backup-simplify]: Simplify (- 1) into -1 7.278 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.279 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.280 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.280 * [taylor]: Taking taylor expansion of -1 in n 7.280 * [backup-simplify]: Simplify -1 into -1 7.280 * [backup-simplify]: Simplify -1 into -1 7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.282 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.282 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.283 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 7.283 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 7.284 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 7.284 * [backup-simplify]: Simplify (- 0) into 0 7.285 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 7.286 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 7.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 7.287 * [taylor]: Taking taylor expansion of (/ 2 n) in n 7.287 * [taylor]: Taking taylor expansion of 2 in n 7.287 * [backup-simplify]: Simplify 2 into 2 7.287 * [taylor]: Taking taylor expansion of n in n 7.287 * [backup-simplify]: Simplify 0 into 0 7.287 * [backup-simplify]: Simplify 1 into 1 7.288 * [backup-simplify]: Simplify (/ 2 1) into 2 7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.290 * [backup-simplify]: Simplify (- 0) into 0 7.291 * [backup-simplify]: Simplify (+ 0 0) into 0 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.292 * [backup-simplify]: Simplify (+ 0 0) into 0 7.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 7.294 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.294 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.295 * [backup-simplify]: Simplify (- 0) into 0 7.295 * [backup-simplify]: Simplify (+ 0 0) into 0 7.295 * [backup-simplify]: Simplify (+ 0 0) into 0 7.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 7.297 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 7.297 * [taylor]: Taking taylor expansion of -2 in n 7.297 * [backup-simplify]: Simplify -2 into -2 7.297 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.297 * [taylor]: Taking taylor expansion of n in n 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 1 into 1 7.297 * [backup-simplify]: Simplify (* 1 1) into 1 7.297 * [backup-simplify]: Simplify (/ -2 1) into -2 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.301 * [backup-simplify]: Simplify (- 0) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.302 * [backup-simplify]: Simplify (+ 0 0) into 0 7.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.304 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (* 2 (/ 1 (pow n 3))) 7.305 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 7.305 * [backup-simplify]: Simplify (- 0) into 0 7.305 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.306 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.309 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 7.309 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 7.309 * [taylor]: Taking taylor expansion of 2 in n 7.309 * [backup-simplify]: Simplify 2 into 2 7.309 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.309 * [taylor]: Taking taylor expansion of n in n 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 1 into 1 7.310 * [backup-simplify]: Simplify (* 1 1) into 1 7.310 * [backup-simplify]: Simplify (* 1 1) into 1 7.310 * [backup-simplify]: Simplify (/ 2 1) into 2 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify -1 into -1 7.315 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))))) into (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 7.315 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 7.315 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 7.316 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.316 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 7.316 * [taylor]: Taking taylor expansion of 1 in n 7.316 * [backup-simplify]: Simplify 1 into 1 7.316 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 7.316 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 7.316 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 7.316 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 7.316 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.316 * [taylor]: Taking taylor expansion of n in n 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.316 * [backup-simplify]: Simplify (/ 1 1) into 1 7.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.316 * [taylor]: Taking taylor expansion of f in n 7.316 * [backup-simplify]: Simplify f into f 7.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.316 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.316 * [taylor]: Taking taylor expansion of f in n 7.316 * [backup-simplify]: Simplify f into f 7.316 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.316 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.316 * [taylor]: Taking taylor expansion of n in n 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 1 into 1 7.317 * [backup-simplify]: Simplify (/ 1 1) into 1 7.317 * [backup-simplify]: Simplify (+ 1 0) into 1 7.317 * [backup-simplify]: Simplify (+ 0 1) into 1 7.317 * [backup-simplify]: Simplify (/ 1 1) into 1 7.317 * [backup-simplify]: Simplify (exp 1) into E 7.317 * [taylor]: Taking taylor expansion of 1 in n 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (- 1) into -1 7.318 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 7.319 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 7.319 * [backup-simplify]: Simplify (log E) into 1 7.319 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.319 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.319 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.319 * [taylor]: Taking taylor expansion of 1 in f 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.319 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 7.319 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.319 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.319 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.319 * [taylor]: Taking taylor expansion of n in f 7.319 * [backup-simplify]: Simplify n into n 7.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.319 * [taylor]: Taking taylor expansion of f in f 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 1 into 1 7.319 * [backup-simplify]: Simplify (/ 1 1) into 1 7.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.319 * [taylor]: Taking taylor expansion of f in f 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify (/ 1 1) into 1 7.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.320 * [taylor]: Taking taylor expansion of n in f 7.320 * [backup-simplify]: Simplify n into n 7.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.320 * [backup-simplify]: Simplify (- 1) into -1 7.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.321 * [backup-simplify]: Simplify (+ 1 0) into 1 7.321 * [backup-simplify]: Simplify (/ -1 1) into -1 7.321 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.321 * [taylor]: Taking taylor expansion of 1 in f 7.321 * [backup-simplify]: Simplify 1 into 1 7.321 * [backup-simplify]: Simplify (- 1) into -1 7.322 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.324 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.325 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.325 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.325 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 7.325 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 7.325 * [taylor]: Taking taylor expansion of 1 in f 7.325 * [backup-simplify]: Simplify 1 into 1 7.325 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.325 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 7.325 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 7.325 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 7.325 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.325 * [taylor]: Taking taylor expansion of n in f 7.326 * [backup-simplify]: Simplify n into n 7.326 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.326 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.326 * [taylor]: Taking taylor expansion of f in f 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.326 * [backup-simplify]: Simplify (/ 1 1) into 1 7.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.326 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.326 * [taylor]: Taking taylor expansion of f in f 7.326 * [backup-simplify]: Simplify 0 into 0 7.326 * [backup-simplify]: Simplify 1 into 1 7.327 * [backup-simplify]: Simplify (/ 1 1) into 1 7.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.327 * [taylor]: Taking taylor expansion of n in f 7.327 * [backup-simplify]: Simplify n into n 7.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.327 * [backup-simplify]: Simplify (- 1) into -1 7.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.328 * [backup-simplify]: Simplify (+ 1 0) into 1 7.328 * [backup-simplify]: Simplify (/ -1 1) into -1 7.329 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.329 * [taylor]: Taking taylor expansion of 1 in f 7.329 * [backup-simplify]: Simplify 1 into 1 7.329 * [backup-simplify]: Simplify (- 1) into -1 7.330 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.332 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 7.332 * [backup-simplify]: Simplify (log (exp -1)) into -1 7.333 * [taylor]: Taking taylor expansion of -1 in n 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (- 0) into 0 7.334 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.335 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.335 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 7.336 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 7.336 * [backup-simplify]: Simplify (- 0) into 0 7.337 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 7.337 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 7.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 7.339 * [taylor]: Taking taylor expansion of (/ 2 n) in n 7.339 * [taylor]: Taking taylor expansion of 2 in n 7.339 * [backup-simplify]: Simplify 2 into 2 7.339 * [taylor]: Taking taylor expansion of n in n 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (/ 2 1) into 2 7.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (- 0) into 0 7.342 * [backup-simplify]: Simplify (+ 0 0) into 0 7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.344 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.344 * [backup-simplify]: Simplify (- 0) into 0 7.345 * [backup-simplify]: Simplify (+ 0 0) into 0 7.345 * [backup-simplify]: Simplify (+ 0 0) into 0 7.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 7.347 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 7.347 * [taylor]: Taking taylor expansion of -2 in n 7.347 * [backup-simplify]: Simplify -2 into -2 7.347 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.347 * [taylor]: Taking taylor expansion of n in n 7.347 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify 1 into 1 7.347 * [backup-simplify]: Simplify (* 1 1) into 1 7.348 * [backup-simplify]: Simplify (/ -2 1) into -2 7.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.351 * [backup-simplify]: Simplify (- 0) into 0 7.351 * [backup-simplify]: Simplify (+ 0 0) into 0 7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.352 * [backup-simplify]: Simplify (+ 0 0) into 0 7.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 7.355 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 7.355 * [backup-simplify]: Simplify (- 0) into 0 7.355 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.356 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 7.365 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 7.365 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 7.365 * [taylor]: Taking taylor expansion of 2 in n 7.365 * [backup-simplify]: Simplify 2 into 2 7.365 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.365 * [taylor]: Taking taylor expansion of n in n 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (* 1 1) into 1 7.366 * [backup-simplify]: Simplify (* 1 1) into 1 7.366 * [backup-simplify]: Simplify (/ 2 1) into 2 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.372 * [backup-simplify]: Simplify 0 into 0 7.372 * [backup-simplify]: Simplify -1 into -1 7.372 * * * [progress]: simplifying candidates 7.377 * [simplify]: Simplifying: (exp (/ (- f n) (- (+ f n)))) (expm1 (expm1 (/ (- f n) (- (+ f n))))) (log1p (expm1 (/ (- f n) (- (+ f n))))) (log (expm1 (/ (- f n) (- (+ f n))))) (exp (expm1 (/ (- f n) (- (+ f n))))) (* (cbrt (expm1 (/ (- f n) (- (+ f n))))) (cbrt (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (expm1 (/ (- f n) (- (+ f n))))) (* (* (expm1 (/ (- f n) (- (+ f n)))) (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n))))) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (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))) (/ f (- (+ f n))) (/ 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))) -1) (/ (cbrt (- 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))) (- 1)) (/ (cbrt (- 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))) 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)) -1) (/ (sqrt (- 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)) (- 1)) (/ (sqrt (- 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)) 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 -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 (- 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 1) (/ (- f n) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) -1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (- (cbrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt 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 -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 (- 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 1) (/ (- f n) (- (+ f n))) (/ 1 (- (+ f n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) 1) (/ (- f n) -1) (/ (- f n) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- 1)) (/ (- f n) (- 1)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ (pow f 3) (pow n 3)))) (/ (- f n) (- (- (* f f) (* n n)))) (* (- (+ f n)) (+ (* f f) (+ (* n n) (* f n)))) (* (- (+ f n)) (+ f n)) (expm1 (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (log1p (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- 1) (- (log (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- 0 (log (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- (log 1) (log (log1p (expm1 (/ (- f n) (- (+ f n))))))) (log (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (exp (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (* (* 1 1) 1) (* (* (log1p (expm1 (/ (- f n) (- (+ f n))))) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log1p (expm1 (/ (- f n) (- (+ f n))))))) (* (cbrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (cbrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (cbrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (* (* (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (sqrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (sqrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- 1) (- (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ (cbrt 1) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (cbrt 1) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ (sqrt 1) (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ (sqrt 1) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (sqrt 1) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (sqrt 1) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (sqrt 1) 1) (/ (sqrt 1) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ 1 (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 1) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) 1) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 1) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) (cbrt 1)) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) (sqrt 1)) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) 1) (+ 1 (expm1 (/ (- f n) (- (+ f n))))) (expm1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log1p (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log (log1p (expm1 (/ (- f n) (- (+ f n)))))) (exp (log1p (expm1 (/ (- f n) (- (+ f n)))))) (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (* (* (log1p (expm1 (/ (- f n) (- (+ f n))))) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1 -1 -1 7.381 * * [simplify]: Extracting # 0 : cost 0 7.381 * * [simplify]: Extracting # 1 : cost 0 7.381 * * [simplify]: Extracting # 2 : cost 0 7.381 * * [simplify]: Extracting # 3 : cost 0 7.382 * * [simplify]: Extracting # 4 : cost 0 7.382 * * [simplify]: Extracting # 5 : cost 0 7.382 * * [simplify]: iteration 0 : 199 enodes (cost 2365 ) 7.460 * * [simplify]: Extracting # 0 : cost 0 7.461 * * [simplify]: Extracting # 1 : cost 0 7.462 * * [simplify]: Extracting # 2 : cost 0 7.463 * * [simplify]: Extracting # 3 : cost 0 7.463 * * [simplify]: Extracting # 4 : cost 0 7.470 * * [simplify]: iteration 1 : 421 enodes (cost 2128 ) 7.596 * * [simplify]: Extracting # 0 : cost 0 7.597 * * [simplify]: Extracting # 1 : cost 0 7.598 * * [simplify]: Extracting # 2 : cost 0 7.599 * * [simplify]: Extracting # 3 : cost 0 7.600 * * [simplify]: Extracting # 4 : cost 0 7.602 * * [simplify]: iteration 2 : 979 enodes (cost 2028 ) 8.282 * * [simplify]: Extracting # 0 : cost 0 8.285 * * [simplify]: Extracting # 1 : cost 0 8.290 * * [simplify]: Extracting # 2 : cost 0 8.294 * * [simplify]: Extracting # 3 : cost 0 8.299 * * [simplify]: Extracting # 4 : cost 0 8.303 * * [simplify]: iteration 3 : 2380 enodes (cost 1996 ) 9.850 * * [simplify]: Extracting # 0 : cost 0 9.869 * * [simplify]: Extracting # 1 : cost 0 9.880 * * [simplify]: Extracting # 2 : cost 0 9.890 * * [simplify]: Extracting # 3 : cost 0 9.900 * * [simplify]: Extracting # 4 : cost 0 9.911 * * [simplify]: iteration done: 5000 enodes (cost 1995 ) 9.912 * [simplify]: Simplified to: (exp (/ (- f n) (- (+ f n)))) (expm1 (expm1 (/ (- f n) (- (+ f n))))) (/ (- f n) (- (+ f n))) (log (expm1 (/ (- f n) (- (+ f n))))) (exp (expm1 (/ (- f n) (- (+ f n))))) (* (cbrt (expm1 (/ (- f n) (- (+ f n))))) (cbrt (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (expm1 (/ (- f n) (- (+ f n))))) (pow (expm1 (/ (- f n) (- (+ f n)))) 3) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- (- f n)) (+ n f) (/ f (- (+ f n))) (/ n (- (+ n f))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (sqrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) -1) (/ (cbrt (- 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))) -1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (- (cbrt (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (- (sqrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (- (+ f n))) (/ (sqrt (- f n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (sqrt (- f n)) (cbrt (- (+ f n)))) (/ (sqrt (- f n)) (sqrt (- (+ f n)))) (/ (sqrt (- f n)) (sqrt (- (+ f n)))) (sqrt (- f n)) (/ (sqrt (- f n)) (- (+ f n))) (/ (sqrt (- f n)) -1) (/ (sqrt (- 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)) -1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (- (cbrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (- (sqrt (+ f n)))) (sqrt (- f n)) (/ (sqrt (- f n)) (- (+ f n))) (sqrt (- f n)) (/ (sqrt (- f n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) 1 (/ (- f n) (- (+ f n))) -1 (/ (- f n) (+ f n)) (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))) (/ 1 (- (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) -1 (/ (- f n) (+ f n)) -1 (/ (- f n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ (- f n) (- (sqrt (+ f n)))) 1 (/ (- f n) (- (+ f n))) 1 (/ (- f n) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) -1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) -1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) -1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (- (cbrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) 1 (/ (- f n) (- (+ f n))) -1 (/ (- f n) (+ f n)) (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))) (/ 1 (- (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) -1 (/ (- f n) (+ f n)) -1 (/ (- f n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ (- f n) (- (sqrt (+ f n)))) 1 (/ (- f n) (- (+ f n))) 1 (/ (- f n) (- (+ f n))) (/ 1 (- (+ f n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (sqrt (- (+ f n)))) (- f n) (/ (- f n) -1) (/ (- f n) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) -1) (/ (- f n) -1) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ (pow f 3) (pow n 3)))) (/ (- f n) (fma n n (* (- f) f))) (* (fma f f (* n (+ f n))) (- (+ f n))) (* (- (+ f n)) (+ f n)) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) -1 (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) -1 (- (/ (- f n) (- (+ f n)))) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ f n))) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (+ 1 (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 1 -1 -1 9.915 * * * [progress]: adding candidates to table 10.390 * * [progress]: iteration 4 / 4 10.390 * * * [progress]: picking best candidate 10.400 * * * * [pick]: Picked # 10.400 * * * [progress]: localizing error 10.419 * * * [progress]: generating rewritten candidates 10.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 10.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 10.805 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 10.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 11.230 * * * [progress]: generating series expansions 11.230 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 11.230 * [backup-simplify]: Simplify (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f))))) into (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) 11.230 * [approximate]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in (f n) around 0 11.230 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in n 11.231 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 11.231 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in n 11.231 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in n 11.231 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.231 * [taylor]: Taking taylor expansion of n in n 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 1 into 1 11.231 * [taylor]: Taking taylor expansion of (+ n f) in n 11.231 * [taylor]: Taking taylor expansion of n in n 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 1 into 1 11.231 * [taylor]: Taking taylor expansion of f in n 11.231 * [backup-simplify]: Simplify f into f 11.231 * [backup-simplify]: Simplify (+ 0 f) into f 11.231 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.231 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 11.231 * [taylor]: Taking taylor expansion of f in n 11.231 * [backup-simplify]: Simplify f into f 11.231 * [taylor]: Taking taylor expansion of (+ n f) in n 11.231 * [taylor]: Taking taylor expansion of n in n 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 1 into 1 11.231 * [taylor]: Taking taylor expansion of f in n 11.231 * [backup-simplify]: Simplify f into f 11.231 * [backup-simplify]: Simplify (+ 0 f) into f 11.231 * [backup-simplify]: Simplify (/ f f) into 1 11.232 * [backup-simplify]: Simplify (- 1) into -1 11.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.232 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.232 * [taylor]: Taking taylor expansion of 1 in n 11.232 * [backup-simplify]: Simplify 1 into 1 11.232 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.232 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 11.232 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.232 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 11.232 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.232 * [taylor]: Taking taylor expansion of n in f 11.232 * [backup-simplify]: Simplify n into n 11.233 * [taylor]: Taking taylor expansion of (+ n f) in f 11.233 * [taylor]: Taking taylor expansion of n in f 11.233 * [backup-simplify]: Simplify n into n 11.233 * [taylor]: Taking taylor expansion of f in f 11.233 * [backup-simplify]: Simplify 0 into 0 11.233 * [backup-simplify]: Simplify 1 into 1 11.233 * [backup-simplify]: Simplify (+ n 0) into n 11.233 * [backup-simplify]: Simplify (/ n n) into 1 11.233 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.233 * [taylor]: Taking taylor expansion of f in f 11.233 * [backup-simplify]: Simplify 0 into 0 11.233 * [backup-simplify]: Simplify 1 into 1 11.233 * [taylor]: Taking taylor expansion of (+ n f) in f 11.233 * [taylor]: Taking taylor expansion of n in f 11.233 * [backup-simplify]: Simplify n into n 11.233 * [taylor]: Taking taylor expansion of f in f 11.233 * [backup-simplify]: Simplify 0 into 0 11.233 * [backup-simplify]: Simplify 1 into 1 11.233 * [backup-simplify]: Simplify (+ n 0) into n 11.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.233 * [backup-simplify]: Simplify (+ 1 0) into 1 11.233 * [backup-simplify]: Simplify (exp 1) into E 11.233 * [taylor]: Taking taylor expansion of 1 in f 11.233 * [backup-simplify]: Simplify 1 into 1 11.233 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.233 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 11.233 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.233 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 11.233 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.233 * [taylor]: Taking taylor expansion of n in f 11.233 * [backup-simplify]: Simplify n into n 11.234 * [taylor]: Taking taylor expansion of (+ n f) in f 11.234 * [taylor]: Taking taylor expansion of n in f 11.234 * [backup-simplify]: Simplify n into n 11.234 * [taylor]: Taking taylor expansion of f in f 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 1 into 1 11.234 * [backup-simplify]: Simplify (+ n 0) into n 11.234 * [backup-simplify]: Simplify (/ n n) into 1 11.234 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.234 * [taylor]: Taking taylor expansion of f in f 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 1 into 1 11.234 * [taylor]: Taking taylor expansion of (+ n f) in f 11.234 * [taylor]: Taking taylor expansion of n in f 11.234 * [backup-simplify]: Simplify n into n 11.234 * [taylor]: Taking taylor expansion of f in f 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 1 into 1 11.234 * [backup-simplify]: Simplify (+ n 0) into n 11.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.234 * [backup-simplify]: Simplify (+ 1 0) into 1 11.234 * [backup-simplify]: Simplify (exp 1) into E 11.234 * [taylor]: Taking taylor expansion of 1 in f 11.234 * [backup-simplify]: Simplify 1 into 1 11.235 * [backup-simplify]: Simplify (- 1) into -1 11.235 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.235 * [taylor]: Taking taylor expansion of (- E 1) in n 11.235 * [taylor]: Taking taylor expansion of E in n 11.235 * [backup-simplify]: Simplify E into E 11.235 * [taylor]: Taking taylor expansion of 1 in n 11.235 * [backup-simplify]: Simplify 1 into 1 11.235 * [backup-simplify]: Simplify (- 1) into -1 11.236 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.236 * [backup-simplify]: Simplify (- E 1) into (- E 1) 11.236 * [backup-simplify]: Simplify (+ 0 1) into 1 11.236 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 11.236 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.236 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 11.237 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 11.237 * [backup-simplify]: Simplify (- 0) into 0 11.237 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 11.237 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 11.237 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 11.237 * [taylor]: Taking taylor expansion of 2 in n 11.237 * [backup-simplify]: Simplify 2 into 2 11.237 * [taylor]: Taking taylor expansion of (/ E n) in n 11.237 * [taylor]: Taking taylor expansion of E in n 11.237 * [backup-simplify]: Simplify E into E 11.237 * [taylor]: Taking taylor expansion of n in n 11.237 * [backup-simplify]: Simplify 0 into 0 11.237 * [backup-simplify]: Simplify 1 into 1 11.238 * [backup-simplify]: Simplify (/ E 1) into E 11.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.239 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 11.240 * [backup-simplify]: Simplify (- 0) into 0 11.240 * [backup-simplify]: Simplify 0 into 0 11.240 * [backup-simplify]: Simplify (- 0) into 0 11.241 * [backup-simplify]: Simplify (+ 0 0) into 0 11.241 * [backup-simplify]: Simplify 0 into 0 11.241 * [backup-simplify]: Simplify (+ 0 0) into 0 11.241 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 11.242 * [backup-simplify]: Simplify (+ 0 1) into 1 11.242 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.242 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 11.242 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 11.243 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 11.243 * [backup-simplify]: Simplify (- 0) into 0 11.244 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 11.244 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 11.244 * [taylor]: Taking taylor expansion of 4 in n 11.244 * [backup-simplify]: Simplify 4 into 4 11.244 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 11.244 * [taylor]: Taking taylor expansion of E in n 11.244 * [backup-simplify]: Simplify E into E 11.244 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.244 * [taylor]: Taking taylor expansion of n in n 11.244 * [backup-simplify]: Simplify 0 into 0 11.244 * [backup-simplify]: Simplify 1 into 1 11.244 * [backup-simplify]: Simplify (* 1 1) into 1 11.245 * [backup-simplify]: Simplify (/ E 1) into E 11.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.250 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 11.252 * [backup-simplify]: Simplify (- 0) into 0 11.252 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify (- 0) into 0 11.253 * [backup-simplify]: Simplify (+ 0 0) into 0 11.253 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify (+ 0 0) into 0 11.254 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 11.254 * [backup-simplify]: Simplify (+ 0 0) into 0 11.255 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.255 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 11.255 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 11.256 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 11.257 * [backup-simplify]: Simplify (- 0) into 0 11.257 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 11.257 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 11.257 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 11.257 * [taylor]: Taking taylor expansion of 22/3 in n 11.257 * [backup-simplify]: Simplify 22/3 into 22/3 11.257 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 11.257 * [taylor]: Taking taylor expansion of E in n 11.257 * [backup-simplify]: Simplify E into E 11.257 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.257 * [taylor]: Taking taylor expansion of n in n 11.257 * [backup-simplify]: Simplify 0 into 0 11.257 * [backup-simplify]: Simplify 1 into 1 11.258 * [backup-simplify]: Simplify (* 1 1) into 1 11.258 * [backup-simplify]: Simplify (* 1 1) into 1 11.259 * [backup-simplify]: Simplify (/ E 1) into E 11.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.268 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 11.269 * [backup-simplify]: Simplify (- 0) into 0 11.269 * [backup-simplify]: Simplify 0 into 0 11.269 * [backup-simplify]: Simplify (- E 1) into (- E 1) 11.270 * [backup-simplify]: Simplify (expm1 (- (/ (/ 1 f) (- (+ (/ 1 f) (/ 1 n)))) (/ (/ 1 n) (- (+ (/ 1 n) (/ 1 f)))))) into (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 11.270 * [approximate]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in (f n) around 0 11.270 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.270 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.270 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.270 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 11.270 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.270 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.270 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.270 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.270 * [taylor]: Taking taylor expansion of f in n 11.270 * [backup-simplify]: Simplify f into f 11.270 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.271 * [taylor]: Taking taylor expansion of n in n 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.271 * [backup-simplify]: Simplify (/ 1 1) into 1 11.271 * [taylor]: Taking taylor expansion of n in n 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 1 into 1 11.272 * [backup-simplify]: Simplify (+ 0 1) into 1 11.272 * [backup-simplify]: Simplify (* 1 0) into 0 11.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.273 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.274 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.274 * [backup-simplify]: Simplify (/ 1 1) into 1 11.274 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.274 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.274 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.274 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.274 * [taylor]: Taking taylor expansion of f in n 11.274 * [backup-simplify]: Simplify f into f 11.274 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.274 * [taylor]: Taking taylor expansion of n in n 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 1 into 1 11.275 * [backup-simplify]: Simplify (/ 1 1) into 1 11.275 * [taylor]: Taking taylor expansion of f in n 11.275 * [backup-simplify]: Simplify f into f 11.275 * [backup-simplify]: Simplify (+ 0 1) into 1 11.275 * [backup-simplify]: Simplify (* 1 f) into f 11.275 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.276 * [backup-simplify]: Simplify (+ 1 0) into 1 11.276 * [backup-simplify]: Simplify (exp 1) into E 11.276 * [taylor]: Taking taylor expansion of 1 in n 11.276 * [backup-simplify]: Simplify 1 into 1 11.276 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.276 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.276 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.276 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.276 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.276 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.276 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.276 * [taylor]: Taking taylor expansion of f in f 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 1 into 1 11.277 * [backup-simplify]: Simplify (/ 1 1) into 1 11.277 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.277 * [taylor]: Taking taylor expansion of n in f 11.277 * [backup-simplify]: Simplify n into n 11.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.277 * [taylor]: Taking taylor expansion of n in f 11.277 * [backup-simplify]: Simplify n into n 11.277 * [backup-simplify]: Simplify (+ 1 0) into 1 11.277 * [backup-simplify]: Simplify (* 1 n) into n 11.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.278 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.278 * [taylor]: Taking taylor expansion of f in f 11.278 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify 1 into 1 11.278 * [backup-simplify]: Simplify (/ 1 1) into 1 11.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.278 * [taylor]: Taking taylor expansion of n in f 11.278 * [backup-simplify]: Simplify n into n 11.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.278 * [taylor]: Taking taylor expansion of f in f 11.278 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify 1 into 1 11.279 * [backup-simplify]: Simplify (+ 1 0) into 1 11.279 * [backup-simplify]: Simplify (* 1 0) into 0 11.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.280 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.281 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.281 * [backup-simplify]: Simplify (/ 1 1) into 1 11.281 * [backup-simplify]: Simplify (- 1) into -1 11.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.282 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.282 * [taylor]: Taking taylor expansion of 1 in f 11.282 * [backup-simplify]: Simplify 1 into 1 11.282 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.282 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.283 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.283 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.283 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.283 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.283 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.283 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.283 * [taylor]: Taking taylor expansion of f in f 11.283 * [backup-simplify]: Simplify 0 into 0 11.283 * [backup-simplify]: Simplify 1 into 1 11.283 * [backup-simplify]: Simplify (/ 1 1) into 1 11.283 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.283 * [taylor]: Taking taylor expansion of n in f 11.283 * [backup-simplify]: Simplify n into n 11.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.283 * [taylor]: Taking taylor expansion of n in f 11.283 * [backup-simplify]: Simplify n into n 11.284 * [backup-simplify]: Simplify (+ 1 0) into 1 11.284 * [backup-simplify]: Simplify (* 1 n) into n 11.284 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.284 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.284 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.284 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.284 * [taylor]: Taking taylor expansion of f in f 11.284 * [backup-simplify]: Simplify 0 into 0 11.284 * [backup-simplify]: Simplify 1 into 1 11.285 * [backup-simplify]: Simplify (/ 1 1) into 1 11.285 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.285 * [taylor]: Taking taylor expansion of n in f 11.285 * [backup-simplify]: Simplify n into n 11.285 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.285 * [taylor]: Taking taylor expansion of f in f 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify 1 into 1 11.285 * [backup-simplify]: Simplify (+ 1 0) into 1 11.286 * [backup-simplify]: Simplify (* 1 0) into 0 11.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.286 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.286 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.287 * [backup-simplify]: Simplify (/ 1 1) into 1 11.287 * [backup-simplify]: Simplify (- 1) into -1 11.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.287 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.287 * [taylor]: Taking taylor expansion of 1 in f 11.287 * [backup-simplify]: Simplify 1 into 1 11.288 * [backup-simplify]: Simplify (- 1) into -1 11.288 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.288 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 11.288 * [taylor]: Taking taylor expansion of (exp -1) in n 11.288 * [taylor]: Taking taylor expansion of -1 in n 11.288 * [backup-simplify]: Simplify -1 into -1 11.289 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.289 * [taylor]: Taking taylor expansion of 1 in n 11.289 * [backup-simplify]: Simplify 1 into 1 11.289 * [backup-simplify]: Simplify (- 1) into -1 11.289 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.290 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 11.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.291 * [backup-simplify]: Simplify (+ 0 0) into 0 11.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.292 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.292 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.292 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 11.292 * [backup-simplify]: Simplify (- 0) into 0 11.293 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 11.293 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 11.293 * [taylor]: Taking taylor expansion of 2 in n 11.293 * [backup-simplify]: Simplify 2 into 2 11.293 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 11.293 * [taylor]: Taking taylor expansion of (exp -1) in n 11.293 * [taylor]: Taking taylor expansion of -1 in n 11.293 * [backup-simplify]: Simplify -1 into -1 11.293 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.293 * [taylor]: Taking taylor expansion of n in n 11.293 * [backup-simplify]: Simplify 0 into 0 11.293 * [backup-simplify]: Simplify 1 into 1 11.294 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 11.294 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 11.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 11.295 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 11.295 * [backup-simplify]: Simplify 0 into 0 11.296 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 11.296 * [backup-simplify]: Simplify (- 0) into 0 11.297 * [backup-simplify]: Simplify (+ 0 0) into 0 11.297 * [backup-simplify]: Simplify 0 into 0 11.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.297 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.297 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.298 * [backup-simplify]: Simplify (+ 0 0) into 0 11.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.300 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.300 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.300 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 11.301 * [backup-simplify]: Simplify (- 0) into 0 11.301 * [backup-simplify]: Simplify (+ 0 0) into 0 11.301 * [taylor]: Taking taylor expansion of 0 in n 11.301 * [backup-simplify]: Simplify 0 into 0 11.301 * [backup-simplify]: Simplify 0 into 0 11.302 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 11.303 * [backup-simplify]: Simplify 0 into 0 11.304 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.305 * [backup-simplify]: Simplify (- 0) into 0 11.305 * [backup-simplify]: Simplify (+ 0 0) into 0 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.306 * [backup-simplify]: Simplify (+ 0 0) into 0 11.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.308 * [backup-simplify]: Simplify (+ 0 0) into 0 11.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.309 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.310 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.310 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 11.311 * [backup-simplify]: Simplify (- 0) into 0 11.311 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 11.311 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 11.311 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 11.311 * [taylor]: Taking taylor expansion of 2/3 in n 11.311 * [backup-simplify]: Simplify 2/3 into 2/3 11.311 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 11.311 * [taylor]: Taking taylor expansion of (exp -1) in n 11.311 * [taylor]: Taking taylor expansion of -1 in n 11.311 * [backup-simplify]: Simplify -1 into -1 11.312 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.312 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.312 * [taylor]: Taking taylor expansion of n in n 11.312 * [backup-simplify]: Simplify 0 into 0 11.312 * [backup-simplify]: Simplify 1 into 1 11.312 * [backup-simplify]: Simplify (* 1 1) into 1 11.312 * [backup-simplify]: Simplify (* 1 1) into 1 11.313 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 11.314 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.319 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 11.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 11.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.324 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.335 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 11.335 * [backup-simplify]: Simplify (- 0) into 0 11.335 * [backup-simplify]: Simplify 0 into 0 11.335 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 11.336 * [backup-simplify]: Simplify (expm1 (- (/ (/ 1 (- f)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (/ 1 (- n)) (- (+ (/ 1 (- n)) (/ 1 (- f))))))) into (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 11.336 * [approximate]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in (f n) around 0 11.336 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.336 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.336 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.336 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 11.336 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.336 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.336 * [taylor]: Taking taylor expansion of f in n 11.336 * [backup-simplify]: Simplify f into f 11.336 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.336 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.336 * [taylor]: Taking taylor expansion of n in n 11.336 * [backup-simplify]: Simplify 0 into 0 11.336 * [backup-simplify]: Simplify 1 into 1 11.337 * [backup-simplify]: Simplify (/ 1 1) into 1 11.337 * [taylor]: Taking taylor expansion of n in n 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 1 into 1 11.337 * [backup-simplify]: Simplify (+ 0 1) into 1 11.337 * [backup-simplify]: Simplify (* 1 0) into 0 11.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.338 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.338 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.338 * [backup-simplify]: Simplify (/ 1 1) into 1 11.338 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.338 * [taylor]: Taking taylor expansion of f in n 11.338 * [backup-simplify]: Simplify f into f 11.338 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.338 * [taylor]: Taking taylor expansion of n in n 11.338 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify 1 into 1 11.339 * [backup-simplify]: Simplify (/ 1 1) into 1 11.339 * [taylor]: Taking taylor expansion of f in n 11.339 * [backup-simplify]: Simplify f into f 11.339 * [backup-simplify]: Simplify (+ 0 1) into 1 11.339 * [backup-simplify]: Simplify (* 1 f) into f 11.339 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.339 * [backup-simplify]: Simplify (+ 1 0) into 1 11.339 * [backup-simplify]: Simplify (exp 1) into E 11.339 * [taylor]: Taking taylor expansion of 1 in n 11.339 * [backup-simplify]: Simplify 1 into 1 11.339 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.339 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.339 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.339 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.340 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.340 * [taylor]: Taking taylor expansion of f in f 11.340 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 1 into 1 11.340 * [backup-simplify]: Simplify (/ 1 1) into 1 11.340 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.340 * [taylor]: Taking taylor expansion of n in f 11.340 * [backup-simplify]: Simplify n into n 11.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.340 * [taylor]: Taking taylor expansion of n in f 11.340 * [backup-simplify]: Simplify n into n 11.340 * [backup-simplify]: Simplify (+ 1 0) into 1 11.340 * [backup-simplify]: Simplify (* 1 n) into n 11.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.340 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.340 * [taylor]: Taking taylor expansion of f in f 11.340 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 1 into 1 11.341 * [backup-simplify]: Simplify (/ 1 1) into 1 11.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.341 * [taylor]: Taking taylor expansion of n in f 11.341 * [backup-simplify]: Simplify n into n 11.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.341 * [taylor]: Taking taylor expansion of f in f 11.341 * [backup-simplify]: Simplify 0 into 0 11.341 * [backup-simplify]: Simplify 1 into 1 11.341 * [backup-simplify]: Simplify (+ 1 0) into 1 11.341 * [backup-simplify]: Simplify (* 1 0) into 0 11.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.342 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.342 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.342 * [backup-simplify]: Simplify (/ 1 1) into 1 11.343 * [backup-simplify]: Simplify (- 1) into -1 11.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.343 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.343 * [taylor]: Taking taylor expansion of 1 in f 11.343 * [backup-simplify]: Simplify 1 into 1 11.343 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.343 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.343 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.343 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.343 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.343 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.343 * [taylor]: Taking taylor expansion of f in f 11.343 * [backup-simplify]: Simplify 0 into 0 11.343 * [backup-simplify]: Simplify 1 into 1 11.344 * [backup-simplify]: Simplify (/ 1 1) into 1 11.344 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.344 * [taylor]: Taking taylor expansion of n in f 11.344 * [backup-simplify]: Simplify n into n 11.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.344 * [taylor]: Taking taylor expansion of n in f 11.344 * [backup-simplify]: Simplify n into n 11.344 * [backup-simplify]: Simplify (+ 1 0) into 1 11.344 * [backup-simplify]: Simplify (* 1 n) into n 11.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.344 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.344 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.344 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.344 * [taylor]: Taking taylor expansion of f in f 11.344 * [backup-simplify]: Simplify 0 into 0 11.344 * [backup-simplify]: Simplify 1 into 1 11.345 * [backup-simplify]: Simplify (/ 1 1) into 1 11.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.345 * [taylor]: Taking taylor expansion of n in f 11.345 * [backup-simplify]: Simplify n into n 11.345 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.345 * [taylor]: Taking taylor expansion of f in f 11.345 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify 1 into 1 11.345 * [backup-simplify]: Simplify (+ 1 0) into 1 11.345 * [backup-simplify]: Simplify (* 1 0) into 0 11.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.346 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.346 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.346 * [backup-simplify]: Simplify (/ 1 1) into 1 11.346 * [backup-simplify]: Simplify (- 1) into -1 11.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.347 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.347 * [taylor]: Taking taylor expansion of 1 in f 11.347 * [backup-simplify]: Simplify 1 into 1 11.347 * [backup-simplify]: Simplify (- 1) into -1 11.348 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.348 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 11.348 * [taylor]: Taking taylor expansion of (exp -1) in n 11.348 * [taylor]: Taking taylor expansion of -1 in n 11.348 * [backup-simplify]: Simplify -1 into -1 11.348 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.348 * [taylor]: Taking taylor expansion of 1 in n 11.348 * [backup-simplify]: Simplify 1 into 1 11.348 * [backup-simplify]: Simplify (- 1) into -1 11.349 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.349 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 11.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.350 * [backup-simplify]: Simplify (+ 0 0) into 0 11.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.351 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.351 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.352 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 11.352 * [backup-simplify]: Simplify (- 0) into 0 11.352 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 11.352 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 11.352 * [taylor]: Taking taylor expansion of 2 in n 11.352 * [backup-simplify]: Simplify 2 into 2 11.352 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 11.352 * [taylor]: Taking taylor expansion of (exp -1) in n 11.352 * [taylor]: Taking taylor expansion of -1 in n 11.352 * [backup-simplify]: Simplify -1 into -1 11.352 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.352 * [taylor]: Taking taylor expansion of n in n 11.352 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify 1 into 1 11.353 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 11.354 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 11.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 11.355 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 11.355 * [backup-simplify]: Simplify 0 into 0 11.355 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 11.356 * [backup-simplify]: Simplify (- 0) into 0 11.356 * [backup-simplify]: Simplify (+ 0 0) into 0 11.356 * [backup-simplify]: Simplify 0 into 0 11.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.357 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.357 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.358 * [backup-simplify]: Simplify (+ 0 0) into 0 11.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.360 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.361 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.362 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 11.362 * [backup-simplify]: Simplify (- 0) into 0 11.362 * [backup-simplify]: Simplify (+ 0 0) into 0 11.363 * [taylor]: Taking taylor expansion of 0 in n 11.363 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify 0 into 0 11.364 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 11.367 * [backup-simplify]: Simplify 0 into 0 11.369 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.369 * [backup-simplify]: Simplify (- 0) into 0 11.369 * [backup-simplify]: Simplify (+ 0 0) into 0 11.369 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.371 * [backup-simplify]: Simplify (+ 0 0) into 0 11.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.373 * [backup-simplify]: Simplify (+ 0 0) into 0 11.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.376 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.377 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.378 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 11.379 * [backup-simplify]: Simplify (- 0) into 0 11.379 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 11.379 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 11.379 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 11.379 * [taylor]: Taking taylor expansion of 2/3 in n 11.379 * [backup-simplify]: Simplify 2/3 into 2/3 11.379 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 11.379 * [taylor]: Taking taylor expansion of (exp -1) in n 11.379 * [taylor]: Taking taylor expansion of -1 in n 11.379 * [backup-simplify]: Simplify -1 into -1 11.380 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.380 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.380 * [taylor]: Taking taylor expansion of n in n 11.380 * [backup-simplify]: Simplify 0 into 0 11.380 * [backup-simplify]: Simplify 1 into 1 11.380 * [backup-simplify]: Simplify (* 1 1) into 1 11.381 * [backup-simplify]: Simplify (* 1 1) into 1 11.382 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 11.384 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.389 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 11.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 11.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.393 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.397 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 11.398 * [backup-simplify]: Simplify (- 0) into 0 11.398 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 11.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 11.399 * [backup-simplify]: Simplify (- (/ f (- (+ f n))) (/ n (- (+ n f)))) into (- (/ n (+ n f)) (/ f (+ n f))) 11.399 * [approximate]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in (f n) around 0 11.399 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in n 11.399 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.399 * [taylor]: Taking taylor expansion of n in n 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.399 * [taylor]: Taking taylor expansion of (+ n f) in n 11.399 * [taylor]: Taking taylor expansion of n in n 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.399 * [taylor]: Taking taylor expansion of f in n 11.399 * [backup-simplify]: Simplify f into f 11.399 * [backup-simplify]: Simplify (+ 0 f) into f 11.400 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.400 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 11.400 * [taylor]: Taking taylor expansion of f in n 11.400 * [backup-simplify]: Simplify f into f 11.400 * [taylor]: Taking taylor expansion of (+ n f) in n 11.400 * [taylor]: Taking taylor expansion of n in n 11.400 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 1 into 1 11.400 * [taylor]: Taking taylor expansion of f in n 11.400 * [backup-simplify]: Simplify f into f 11.400 * [backup-simplify]: Simplify (+ 0 f) into f 11.400 * [backup-simplify]: Simplify (/ f f) into 1 11.400 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 11.400 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.400 * [taylor]: Taking taylor expansion of n in f 11.400 * [backup-simplify]: Simplify n into n 11.400 * [taylor]: Taking taylor expansion of (+ n f) in f 11.400 * [taylor]: Taking taylor expansion of n in f 11.400 * [backup-simplify]: Simplify n into n 11.400 * [taylor]: Taking taylor expansion of f in f 11.400 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 1 into 1 11.400 * [backup-simplify]: Simplify (+ n 0) into n 11.400 * [backup-simplify]: Simplify (/ n n) into 1 11.400 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.400 * [taylor]: Taking taylor expansion of f in f 11.400 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify 1 into 1 11.400 * [taylor]: Taking taylor expansion of (+ n f) in f 11.401 * [taylor]: Taking taylor expansion of n in f 11.401 * [backup-simplify]: Simplify n into n 11.401 * [taylor]: Taking taylor expansion of f in f 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [backup-simplify]: Simplify (+ n 0) into n 11.401 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.401 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 11.401 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.401 * [taylor]: Taking taylor expansion of n in f 11.401 * [backup-simplify]: Simplify n into n 11.401 * [taylor]: Taking taylor expansion of (+ n f) in f 11.401 * [taylor]: Taking taylor expansion of n in f 11.401 * [backup-simplify]: Simplify n into n 11.401 * [taylor]: Taking taylor expansion of f in f 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [backup-simplify]: Simplify (+ n 0) into n 11.401 * [backup-simplify]: Simplify (/ n n) into 1 11.401 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.401 * [taylor]: Taking taylor expansion of f in f 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [taylor]: Taking taylor expansion of (+ n f) in f 11.401 * [taylor]: Taking taylor expansion of n in f 11.401 * [backup-simplify]: Simplify n into n 11.401 * [taylor]: Taking taylor expansion of f in f 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [backup-simplify]: Simplify (+ n 0) into n 11.402 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.402 * [backup-simplify]: Simplify (+ 1 0) into 1 11.402 * [taylor]: Taking taylor expansion of 1 in n 11.402 * [backup-simplify]: Simplify 1 into 1 11.402 * [backup-simplify]: Simplify 1 into 1 11.403 * [backup-simplify]: Simplify (+ 0 1) into 1 11.403 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 11.403 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.403 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 11.403 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.403 * [taylor]: Taking taylor expansion of 2 in n 11.403 * [backup-simplify]: Simplify 2 into 2 11.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.403 * [taylor]: Taking taylor expansion of n in n 11.403 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [backup-simplify]: Simplify (/ 1 1) into 1 11.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.405 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.406 * [backup-simplify]: Simplify (- 0) into 0 11.406 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify (+ 0 0) into 0 11.407 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 11.408 * [backup-simplify]: Simplify (+ 0 1) into 1 11.408 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.408 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 11.408 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 11.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.408 * [taylor]: Taking taylor expansion of 2 in n 11.408 * [backup-simplify]: Simplify 2 into 2 11.409 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.409 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.409 * [taylor]: Taking taylor expansion of n in n 11.409 * [backup-simplify]: Simplify 0 into 0 11.409 * [backup-simplify]: Simplify 1 into 1 11.409 * [backup-simplify]: Simplify (* 1 1) into 1 11.409 * [backup-simplify]: Simplify (/ 1 1) into 1 11.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.415 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.416 * [backup-simplify]: Simplify (- 0) into 0 11.416 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify (+ 0 0) into 0 11.417 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 11.417 * [backup-simplify]: Simplify (+ 0 0) into 0 11.418 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.418 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 11.418 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 11.418 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.418 * [taylor]: Taking taylor expansion of 2 in n 11.418 * [backup-simplify]: Simplify 2 into 2 11.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.418 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.418 * [taylor]: Taking taylor expansion of n in n 11.418 * [backup-simplify]: Simplify 0 into 0 11.418 * [backup-simplify]: Simplify 1 into 1 11.419 * [backup-simplify]: Simplify (* 1 1) into 1 11.419 * [backup-simplify]: Simplify (* 1 1) into 1 11.419 * [backup-simplify]: Simplify (/ 1 1) into 1 11.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.428 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.428 * [backup-simplify]: Simplify (- 0) into 0 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (- (/ (/ 1 f) (- (+ (/ 1 f) (/ 1 n)))) (/ (/ 1 n) (- (+ (/ 1 n) (/ 1 f))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) 11.429 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in (f n) around 0 11.429 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 11.429 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.429 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.429 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.429 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.429 * [taylor]: Taking taylor expansion of f in n 11.429 * [backup-simplify]: Simplify f into f 11.429 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.430 * [taylor]: Taking taylor expansion of n in n 11.430 * [backup-simplify]: Simplify 0 into 0 11.430 * [backup-simplify]: Simplify 1 into 1 11.430 * [backup-simplify]: Simplify (/ 1 1) into 1 11.430 * [taylor]: Taking taylor expansion of n in n 11.430 * [backup-simplify]: Simplify 0 into 0 11.430 * [backup-simplify]: Simplify 1 into 1 11.430 * [backup-simplify]: Simplify (+ 0 1) into 1 11.431 * [backup-simplify]: Simplify (* 1 0) into 0 11.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.432 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.432 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.433 * [backup-simplify]: Simplify (/ 1 1) into 1 11.433 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.433 * [taylor]: Taking taylor expansion of f in n 11.433 * [backup-simplify]: Simplify f into f 11.433 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.433 * [taylor]: Taking taylor expansion of n in n 11.433 * [backup-simplify]: Simplify 0 into 0 11.433 * [backup-simplify]: Simplify 1 into 1 11.433 * [backup-simplify]: Simplify (/ 1 1) into 1 11.433 * [taylor]: Taking taylor expansion of f in n 11.433 * [backup-simplify]: Simplify f into f 11.434 * [backup-simplify]: Simplify (+ 0 1) into 1 11.434 * [backup-simplify]: Simplify (* 1 f) into f 11.434 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.434 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.434 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.434 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.434 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.434 * [taylor]: Taking taylor expansion of f in f 11.434 * [backup-simplify]: Simplify 0 into 0 11.434 * [backup-simplify]: Simplify 1 into 1 11.435 * [backup-simplify]: Simplify (/ 1 1) into 1 11.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.435 * [taylor]: Taking taylor expansion of n in f 11.435 * [backup-simplify]: Simplify n into n 11.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.435 * [taylor]: Taking taylor expansion of n in f 11.435 * [backup-simplify]: Simplify n into n 11.435 * [backup-simplify]: Simplify (+ 1 0) into 1 11.435 * [backup-simplify]: Simplify (* 1 n) into n 11.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.435 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.435 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.436 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.436 * [taylor]: Taking taylor expansion of f in f 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 1 into 1 11.436 * [backup-simplify]: Simplify (/ 1 1) into 1 11.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.436 * [taylor]: Taking taylor expansion of n in f 11.436 * [backup-simplify]: Simplify n into n 11.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.436 * [taylor]: Taking taylor expansion of f in f 11.436 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify 1 into 1 11.437 * [backup-simplify]: Simplify (+ 1 0) into 1 11.437 * [backup-simplify]: Simplify (* 1 0) into 0 11.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.438 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.439 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.439 * [backup-simplify]: Simplify (/ 1 1) into 1 11.439 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.439 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.439 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.439 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.440 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.440 * [taylor]: Taking taylor expansion of f in f 11.440 * [backup-simplify]: Simplify 0 into 0 11.440 * [backup-simplify]: Simplify 1 into 1 11.440 * [backup-simplify]: Simplify (/ 1 1) into 1 11.440 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.440 * [taylor]: Taking taylor expansion of n in f 11.440 * [backup-simplify]: Simplify n into n 11.440 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.440 * [taylor]: Taking taylor expansion of n in f 11.440 * [backup-simplify]: Simplify n into n 11.441 * [backup-simplify]: Simplify (+ 1 0) into 1 11.441 * [backup-simplify]: Simplify (* 1 n) into n 11.441 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.441 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.441 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.441 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.441 * [taylor]: Taking taylor expansion of f in f 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 1 into 1 11.442 * [backup-simplify]: Simplify (/ 1 1) into 1 11.442 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.442 * [taylor]: Taking taylor expansion of n in f 11.442 * [backup-simplify]: Simplify n into n 11.442 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.442 * [taylor]: Taking taylor expansion of f in f 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 1 into 1 11.443 * [backup-simplify]: Simplify (+ 1 0) into 1 11.443 * [backup-simplify]: Simplify (* 1 0) into 0 11.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.444 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.444 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.445 * [backup-simplify]: Simplify (/ 1 1) into 1 11.445 * [backup-simplify]: Simplify (- 1) into -1 11.446 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.446 * [taylor]: Taking taylor expansion of -1 in n 11.446 * [backup-simplify]: Simplify -1 into -1 11.446 * [backup-simplify]: Simplify -1 into -1 11.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.448 * [backup-simplify]: Simplify (+ 0 0) into 0 11.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.449 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.449 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.449 * [taylor]: Taking taylor expansion of 2 in n 11.449 * [backup-simplify]: Simplify 2 into 2 11.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.449 * [taylor]: Taking taylor expansion of n in n 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify 1 into 1 11.449 * [backup-simplify]: Simplify (/ 1 1) into 1 11.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.451 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.451 * [backup-simplify]: Simplify 0 into 0 11.451 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.452 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.452 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.454 * [backup-simplify]: Simplify (+ 0 0) into 0 11.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.456 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.456 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.456 * [taylor]: Taking taylor expansion of 2 in n 11.457 * [backup-simplify]: Simplify 2 into 2 11.457 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.457 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.457 * [taylor]: Taking taylor expansion of n in n 11.457 * [backup-simplify]: Simplify 0 into 0 11.457 * [backup-simplify]: Simplify 1 into 1 11.457 * [backup-simplify]: Simplify (* 1 1) into 1 11.457 * [backup-simplify]: Simplify (/ 1 1) into 1 11.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.462 * [backup-simplify]: Simplify (- 0) into 0 11.462 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.464 * [backup-simplify]: Simplify 0 into 0 11.464 * [backup-simplify]: Simplify 0 into 0 11.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.466 * [backup-simplify]: Simplify (+ 0 0) into 0 11.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.468 * [backup-simplify]: Simplify (+ 0 0) into 0 11.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.471 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.472 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.472 * [taylor]: Taking taylor expansion of 2 in n 11.472 * [backup-simplify]: Simplify 2 into 2 11.472 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.472 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.472 * [taylor]: Taking taylor expansion of n in n 11.472 * [backup-simplify]: Simplify 0 into 0 11.472 * [backup-simplify]: Simplify 1 into 1 11.477 * [backup-simplify]: Simplify (* 1 1) into 1 11.478 * [backup-simplify]: Simplify (* 1 1) into 1 11.478 * [backup-simplify]: Simplify (/ 1 1) into 1 11.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.483 * [backup-simplify]: Simplify 0 into 0 11.483 * [backup-simplify]: Simplify -1 into -1 11.483 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (/ 1 (- n)) (- (+ (/ 1 (- n)) (/ 1 (- f)))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) 11.483 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in (f n) around 0 11.483 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 11.483 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.483 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.483 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.483 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.483 * [taylor]: Taking taylor expansion of f in n 11.483 * [backup-simplify]: Simplify f into f 11.483 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.484 * [taylor]: Taking taylor expansion of n in n 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (/ 1 1) into 1 11.484 * [taylor]: Taking taylor expansion of n in n 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (+ 0 1) into 1 11.484 * [backup-simplify]: Simplify (* 1 0) into 0 11.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.485 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.485 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.485 * [backup-simplify]: Simplify (/ 1 1) into 1 11.485 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.485 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.485 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.485 * [taylor]: Taking taylor expansion of f in n 11.486 * [backup-simplify]: Simplify f into f 11.486 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.486 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.486 * [taylor]: Taking taylor expansion of n in n 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify 1 into 1 11.486 * [backup-simplify]: Simplify (/ 1 1) into 1 11.486 * [taylor]: Taking taylor expansion of f in n 11.486 * [backup-simplify]: Simplify f into f 11.486 * [backup-simplify]: Simplify (+ 0 1) into 1 11.486 * [backup-simplify]: Simplify (* 1 f) into f 11.486 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.486 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.486 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.486 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.486 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.486 * [taylor]: Taking taylor expansion of f in f 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify 1 into 1 11.487 * [backup-simplify]: Simplify (/ 1 1) into 1 11.487 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.487 * [taylor]: Taking taylor expansion of n in f 11.487 * [backup-simplify]: Simplify n into n 11.487 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.487 * [taylor]: Taking taylor expansion of n in f 11.487 * [backup-simplify]: Simplify n into n 11.487 * [backup-simplify]: Simplify (+ 1 0) into 1 11.487 * [backup-simplify]: Simplify (* 1 n) into n 11.487 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.487 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.487 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.487 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.487 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.487 * [taylor]: Taking taylor expansion of f in f 11.487 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify 1 into 1 11.487 * [backup-simplify]: Simplify (/ 1 1) into 1 11.487 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.488 * [taylor]: Taking taylor expansion of n in f 11.488 * [backup-simplify]: Simplify n into n 11.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.488 * [taylor]: Taking taylor expansion of f in f 11.488 * [backup-simplify]: Simplify 0 into 0 11.488 * [backup-simplify]: Simplify 1 into 1 11.488 * [backup-simplify]: Simplify (+ 1 0) into 1 11.488 * [backup-simplify]: Simplify (* 1 0) into 0 11.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.489 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.489 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.489 * [backup-simplify]: Simplify (/ 1 1) into 1 11.489 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.489 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.489 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.489 * [taylor]: Taking taylor expansion of f in f 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (/ 1 1) into 1 11.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.490 * [taylor]: Taking taylor expansion of n in f 11.490 * [backup-simplify]: Simplify n into n 11.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.490 * [taylor]: Taking taylor expansion of n in f 11.490 * [backup-simplify]: Simplify n into n 11.490 * [backup-simplify]: Simplify (+ 1 0) into 1 11.490 * [backup-simplify]: Simplify (* 1 n) into n 11.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.490 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.490 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.490 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.490 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.490 * [taylor]: Taking taylor expansion of f in f 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 1 into 1 11.490 * [backup-simplify]: Simplify (/ 1 1) into 1 11.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.490 * [taylor]: Taking taylor expansion of n in f 11.490 * [backup-simplify]: Simplify n into n 11.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.490 * [taylor]: Taking taylor expansion of f in f 11.490 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify 1 into 1 11.491 * [backup-simplify]: Simplify (+ 1 0) into 1 11.491 * [backup-simplify]: Simplify (* 1 0) into 0 11.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.492 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.492 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.492 * [backup-simplify]: Simplify (/ 1 1) into 1 11.492 * [backup-simplify]: Simplify (- 1) into -1 11.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.493 * [taylor]: Taking taylor expansion of -1 in n 11.493 * [backup-simplify]: Simplify -1 into -1 11.493 * [backup-simplify]: Simplify -1 into -1 11.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.494 * [backup-simplify]: Simplify (+ 0 0) into 0 11.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.494 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.494 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.494 * [taylor]: Taking taylor expansion of 2 in n 11.494 * [backup-simplify]: Simplify 2 into 2 11.494 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.495 * [taylor]: Taking taylor expansion of n in n 11.495 * [backup-simplify]: Simplify 0 into 0 11.495 * [backup-simplify]: Simplify 1 into 1 11.495 * [backup-simplify]: Simplify (/ 1 1) into 1 11.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.496 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify 0 into 0 11.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.496 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.496 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.497 * [backup-simplify]: Simplify (+ 0 0) into 0 11.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.499 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.499 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.499 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.499 * [taylor]: Taking taylor expansion of 2 in n 11.499 * [backup-simplify]: Simplify 2 into 2 11.499 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.499 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.499 * [taylor]: Taking taylor expansion of n in n 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify 1 into 1 11.499 * [backup-simplify]: Simplify (* 1 1) into 1 11.500 * [backup-simplify]: Simplify (/ 1 1) into 1 11.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.502 * [backup-simplify]: Simplify (- 0) into 0 11.502 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.503 * [backup-simplify]: Simplify 0 into 0 11.503 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.504 * [backup-simplify]: Simplify (+ 0 0) into 0 11.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.506 * [backup-simplify]: Simplify (+ 0 0) into 0 11.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.507 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.507 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.508 * [taylor]: Taking taylor expansion of 2 in n 11.508 * [backup-simplify]: Simplify 2 into 2 11.508 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.508 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.508 * [taylor]: Taking taylor expansion of n in n 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 1 into 1 11.508 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (* 1 1) into 1 11.508 * [backup-simplify]: Simplify (/ 1 1) into 1 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify -1 into -1 11.513 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 11.514 * [backup-simplify]: Simplify (/ n (- (+ n f))) into (* -1 (/ n (+ n f))) 11.514 * [approximate]: Taking taylor expansion of (* -1 (/ n (+ n f))) in (n f) around 0 11.514 * [taylor]: Taking taylor expansion of (* -1 (/ n (+ n f))) in f 11.514 * [taylor]: Taking taylor expansion of -1 in f 11.514 * [backup-simplify]: Simplify -1 into -1 11.514 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.514 * [taylor]: Taking taylor expansion of n in f 11.514 * [backup-simplify]: Simplify n into n 11.514 * [taylor]: Taking taylor expansion of (+ n f) in f 11.514 * [taylor]: Taking taylor expansion of n in f 11.514 * [backup-simplify]: Simplify n into n 11.514 * [taylor]: Taking taylor expansion of f in f 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify 1 into 1 11.514 * [backup-simplify]: Simplify (+ n 0) into n 11.514 * [backup-simplify]: Simplify (/ n n) into 1 11.514 * [taylor]: Taking taylor expansion of (* -1 (/ n (+ n f))) in n 11.514 * [taylor]: Taking taylor expansion of -1 in n 11.514 * [backup-simplify]: Simplify -1 into -1 11.514 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.514 * [taylor]: Taking taylor expansion of n in n 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify 1 into 1 11.514 * [taylor]: Taking taylor expansion of (+ n f) in n 11.514 * [taylor]: Taking taylor expansion of n in n 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify 1 into 1 11.514 * [taylor]: Taking taylor expansion of f in n 11.514 * [backup-simplify]: Simplify f into f 11.514 * [backup-simplify]: Simplify (+ 0 f) into f 11.514 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.514 * [taylor]: Taking taylor expansion of (* -1 (/ n (+ n f))) in n 11.514 * [taylor]: Taking taylor expansion of -1 in n 11.514 * [backup-simplify]: Simplify -1 into -1 11.514 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.514 * [taylor]: Taking taylor expansion of n in n 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify 1 into 1 11.514 * [taylor]: Taking taylor expansion of (+ n f) in n 11.514 * [taylor]: Taking taylor expansion of n in n 11.514 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify 1 into 1 11.514 * [taylor]: Taking taylor expansion of f in n 11.514 * [backup-simplify]: Simplify f into f 11.514 * [backup-simplify]: Simplify (+ 0 f) into f 11.514 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.514 * [backup-simplify]: Simplify (* -1 (/ 1 f)) into (/ -1 f) 11.515 * [taylor]: Taking taylor expansion of (/ -1 f) in f 11.515 * [taylor]: Taking taylor expansion of -1 in f 11.515 * [backup-simplify]: Simplify -1 into -1 11.515 * [taylor]: Taking taylor expansion of f in f 11.515 * [backup-simplify]: Simplify 0 into 0 11.515 * [backup-simplify]: Simplify 1 into 1 11.515 * [backup-simplify]: Simplify (/ -1 1) into -1 11.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.515 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify (+ 1 0) into 1 11.516 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 11.516 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow f 2)))) (* 0 (/ 1 f))) into (/ 1 (pow f 2)) 11.516 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.516 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.516 * [taylor]: Taking taylor expansion of f in f 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 1 into 1 11.516 * [backup-simplify]: Simplify (* 1 1) into 1 11.517 * [backup-simplify]: Simplify (/ 1 1) into 1 11.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.519 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify (+ 0 0) into 0 11.520 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 11.520 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow f 3))) (+ (* 0 (- (/ 1 (pow f 2)))) (* 0 (/ 1 f)))) into (- (/ 1 (pow f 3))) 11.520 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 3))) in f 11.520 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 11.520 * [taylor]: Taking taylor expansion of (pow f 3) in f 11.520 * [taylor]: Taking taylor expansion of f in f 11.520 * [backup-simplify]: Simplify 0 into 0 11.520 * [backup-simplify]: Simplify 1 into 1 11.520 * [backup-simplify]: Simplify (* 1 1) into 1 11.521 * [backup-simplify]: Simplify (* 1 1) into 1 11.521 * [backup-simplify]: Simplify (/ 1 1) into 1 11.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.529 * [backup-simplify]: Simplify (- 0) into 0 11.529 * [backup-simplify]: Simplify 0 into 0 11.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.532 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify (/ (/ 1 n) (- (+ (/ 1 n) (/ 1 f)))) into (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) 11.533 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 11.533 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.533 * [taylor]: Taking taylor expansion of -1 in f 11.533 * [backup-simplify]: Simplify -1 into -1 11.533 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.533 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.533 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.533 * [taylor]: Taking taylor expansion of f in f 11.533 * [backup-simplify]: Simplify 0 into 0 11.533 * [backup-simplify]: Simplify 1 into 1 11.534 * [backup-simplify]: Simplify (/ 1 1) into 1 11.534 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.534 * [taylor]: Taking taylor expansion of n in f 11.534 * [backup-simplify]: Simplify n into n 11.534 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.534 * [taylor]: Taking taylor expansion of n in f 11.534 * [backup-simplify]: Simplify n into n 11.534 * [backup-simplify]: Simplify (+ 1 0) into 1 11.534 * [backup-simplify]: Simplify (* 1 n) into n 11.534 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.534 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.534 * [taylor]: Taking taylor expansion of -1 in n 11.534 * [backup-simplify]: Simplify -1 into -1 11.534 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.535 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.535 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.535 * [taylor]: Taking taylor expansion of f in n 11.535 * [backup-simplify]: Simplify f into f 11.535 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.535 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.535 * [taylor]: Taking taylor expansion of n in n 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (/ 1 1) into 1 11.535 * [taylor]: Taking taylor expansion of n in n 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.536 * [backup-simplify]: Simplify (+ 0 1) into 1 11.536 * [backup-simplify]: Simplify (* 1 0) into 0 11.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.537 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.537 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.538 * [backup-simplify]: Simplify (/ -1 1) into -1 11.538 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.538 * [taylor]: Taking taylor expansion of -1 in n 11.538 * [backup-simplify]: Simplify -1 into -1 11.538 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.538 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.538 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.538 * [taylor]: Taking taylor expansion of f in n 11.538 * [backup-simplify]: Simplify f into f 11.538 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.538 * [taylor]: Taking taylor expansion of n in n 11.538 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify 1 into 1 11.539 * [backup-simplify]: Simplify (/ 1 1) into 1 11.539 * [taylor]: Taking taylor expansion of n in n 11.539 * [backup-simplify]: Simplify 0 into 0 11.539 * [backup-simplify]: Simplify 1 into 1 11.539 * [backup-simplify]: Simplify (+ 0 1) into 1 11.540 * [backup-simplify]: Simplify (* 1 0) into 0 11.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.540 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.541 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.541 * [backup-simplify]: Simplify (/ -1 1) into -1 11.541 * [taylor]: Taking taylor expansion of -1 in f 11.541 * [backup-simplify]: Simplify -1 into -1 11.541 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.543 * [backup-simplify]: Simplify (+ 0 0) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 11.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 f) 1)))) into (/ 1 f) 11.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.544 * [taylor]: Taking taylor expansion of f in f 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify 1 into 1 11.545 * [backup-simplify]: Simplify (/ 1 1) into 1 11.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.546 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.548 * [backup-simplify]: Simplify (+ 0 0) into 0 11.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 11.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 f) (/ (/ 1 f) 1)))) into (- (/ 1 (pow f 2))) 11.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 11.550 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.550 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.550 * [taylor]: Taking taylor expansion of f in f 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 1 into 1 11.550 * [backup-simplify]: Simplify (* 1 1) into 1 11.551 * [backup-simplify]: Simplify (/ 1 1) into 1 11.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.554 * [backup-simplify]: Simplify (- 0) into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (- (+ (/ 1 (- n)) (/ 1 (- f))))) into (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) 11.554 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 11.554 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.555 * [taylor]: Taking taylor expansion of -1 in f 11.555 * [backup-simplify]: Simplify -1 into -1 11.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.555 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.555 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.555 * [taylor]: Taking taylor expansion of f in f 11.555 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify 1 into 1 11.555 * [backup-simplify]: Simplify (/ 1 1) into 1 11.555 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.555 * [taylor]: Taking taylor expansion of n in f 11.555 * [backup-simplify]: Simplify n into n 11.555 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.555 * [taylor]: Taking taylor expansion of n in f 11.555 * [backup-simplify]: Simplify n into n 11.555 * [backup-simplify]: Simplify (+ 1 0) into 1 11.555 * [backup-simplify]: Simplify (* 1 n) into n 11.555 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.555 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.555 * [taylor]: Taking taylor expansion of -1 in n 11.555 * [backup-simplify]: Simplify -1 into -1 11.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.555 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.555 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.555 * [taylor]: Taking taylor expansion of f in n 11.555 * [backup-simplify]: Simplify f into f 11.556 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.556 * [taylor]: Taking taylor expansion of n in n 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 1 into 1 11.556 * [backup-simplify]: Simplify (/ 1 1) into 1 11.556 * [taylor]: Taking taylor expansion of n in n 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 1 into 1 11.556 * [backup-simplify]: Simplify (+ 0 1) into 1 11.556 * [backup-simplify]: Simplify (* 1 0) into 0 11.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.557 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.557 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.557 * [backup-simplify]: Simplify (/ -1 1) into -1 11.557 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.557 * [taylor]: Taking taylor expansion of -1 in n 11.558 * [backup-simplify]: Simplify -1 into -1 11.558 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.558 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.558 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.558 * [taylor]: Taking taylor expansion of f in n 11.558 * [backup-simplify]: Simplify f into f 11.558 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.558 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.558 * [taylor]: Taking taylor expansion of n in n 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.558 * [backup-simplify]: Simplify (/ 1 1) into 1 11.558 * [taylor]: Taking taylor expansion of n in n 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify 1 into 1 11.558 * [backup-simplify]: Simplify (+ 0 1) into 1 11.558 * [backup-simplify]: Simplify (* 1 0) into 0 11.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.559 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.559 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.560 * [backup-simplify]: Simplify (/ -1 1) into -1 11.560 * [taylor]: Taking taylor expansion of -1 in f 11.560 * [backup-simplify]: Simplify -1 into -1 11.560 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.560 * [backup-simplify]: Simplify (+ 0 0) into 0 11.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 11.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 f) 1)))) into (/ 1 f) 11.561 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.561 * [taylor]: Taking taylor expansion of f in f 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.562 * [backup-simplify]: Simplify (/ 1 1) into 1 11.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [backup-simplify]: Simplify 0 into 0 11.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.563 * [backup-simplify]: Simplify (+ 0 0) into 0 11.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 11.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 f) (/ (/ 1 f) 1)))) into (- (/ 1 (pow f 2))) 11.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 11.565 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 11.565 * [taylor]: Taking taylor expansion of (pow f 2) in f 11.565 * [taylor]: Taking taylor expansion of f in f 11.565 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify 1 into 1 11.565 * [backup-simplify]: Simplify (* 1 1) into 1 11.565 * [backup-simplify]: Simplify (/ 1 1) into 1 11.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.569 * [backup-simplify]: Simplify (- 0) into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.569 * * * * [progress]: [ 4 / 4 ] generating series at (2) 11.570 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f))))))) into (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 11.570 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in (f n) around 0 11.570 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in n 11.570 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in n 11.570 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 11.570 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in n 11.570 * [taylor]: Taking taylor expansion of 1 in n 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in n 11.570 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 11.570 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in n 11.570 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in n 11.570 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 11.570 * [taylor]: Taking taylor expansion of n in n 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [taylor]: Taking taylor expansion of (+ n f) in n 11.570 * [taylor]: Taking taylor expansion of n in n 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [taylor]: Taking taylor expansion of f in n 11.570 * [backup-simplify]: Simplify f into f 11.570 * [backup-simplify]: Simplify (+ 0 f) into f 11.570 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.570 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 11.570 * [taylor]: Taking taylor expansion of f in n 11.570 * [backup-simplify]: Simplify f into f 11.570 * [taylor]: Taking taylor expansion of (+ n f) in n 11.570 * [taylor]: Taking taylor expansion of n in n 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [taylor]: Taking taylor expansion of f in n 11.570 * [backup-simplify]: Simplify f into f 11.570 * [backup-simplify]: Simplify (+ 0 f) into f 11.571 * [backup-simplify]: Simplify (/ f f) into 1 11.571 * [backup-simplify]: Simplify (- 1) into -1 11.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.571 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.571 * [taylor]: Taking taylor expansion of 1 in n 11.571 * [backup-simplify]: Simplify 1 into 1 11.572 * [backup-simplify]: Simplify (- 1) into -1 11.572 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.573 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 11.574 * [backup-simplify]: Simplify (log (exp -1)) into -1 11.574 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.574 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in f 11.574 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 11.574 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 11.574 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 11.574 * [taylor]: Taking taylor expansion of 1 in f 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.574 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 11.574 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.574 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 11.574 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.574 * [taylor]: Taking taylor expansion of n in f 11.574 * [backup-simplify]: Simplify n into n 11.574 * [taylor]: Taking taylor expansion of (+ n f) in f 11.574 * [taylor]: Taking taylor expansion of n in f 11.574 * [backup-simplify]: Simplify n into n 11.574 * [taylor]: Taking taylor expansion of f in f 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [backup-simplify]: Simplify (+ n 0) into n 11.574 * [backup-simplify]: Simplify (/ n n) into 1 11.574 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.574 * [taylor]: Taking taylor expansion of f in f 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [taylor]: Taking taylor expansion of (+ n f) in f 11.574 * [taylor]: Taking taylor expansion of n in f 11.574 * [backup-simplify]: Simplify n into n 11.574 * [taylor]: Taking taylor expansion of f in f 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [backup-simplify]: Simplify (+ n 0) into n 11.575 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.575 * [backup-simplify]: Simplify (+ 1 0) into 1 11.575 * [backup-simplify]: Simplify (exp 1) into E 11.575 * [taylor]: Taking taylor expansion of 1 in f 11.575 * [backup-simplify]: Simplify 1 into 1 11.575 * [backup-simplify]: Simplify (- 1) into -1 11.575 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.576 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 11.576 * [backup-simplify]: Simplify (log E) into 1 11.576 * [backup-simplify]: Simplify (/ 1 1) into 1 11.576 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in f 11.576 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 11.576 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 11.576 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 11.576 * [taylor]: Taking taylor expansion of 1 in f 11.576 * [backup-simplify]: Simplify 1 into 1 11.576 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.577 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 11.577 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 11.577 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 11.577 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 11.577 * [taylor]: Taking taylor expansion of n in f 11.577 * [backup-simplify]: Simplify n into n 11.577 * [taylor]: Taking taylor expansion of (+ n f) in f 11.577 * [taylor]: Taking taylor expansion of n in f 11.577 * [backup-simplify]: Simplify n into n 11.577 * [taylor]: Taking taylor expansion of f in f 11.577 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify 1 into 1 11.577 * [backup-simplify]: Simplify (+ n 0) into n 11.577 * [backup-simplify]: Simplify (/ n n) into 1 11.577 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 11.577 * [taylor]: Taking taylor expansion of f in f 11.577 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify 1 into 1 11.577 * [taylor]: Taking taylor expansion of (+ n f) in f 11.577 * [taylor]: Taking taylor expansion of n in f 11.577 * [backup-simplify]: Simplify n into n 11.577 * [taylor]: Taking taylor expansion of f in f 11.577 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify 1 into 1 11.577 * [backup-simplify]: Simplify (+ n 0) into n 11.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.582 * [backup-simplify]: Simplify (+ 1 0) into 1 11.582 * [backup-simplify]: Simplify (exp 1) into E 11.582 * [taylor]: Taking taylor expansion of 1 in f 11.582 * [backup-simplify]: Simplify 1 into 1 11.583 * [backup-simplify]: Simplify (- 1) into -1 11.584 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.585 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 11.585 * [backup-simplify]: Simplify (log E) into 1 11.585 * [backup-simplify]: Simplify (/ 1 1) into 1 11.585 * [taylor]: Taking taylor expansion of 1 in n 11.585 * [backup-simplify]: Simplify 1 into 1 11.585 * [backup-simplify]: Simplify 1 into 1 11.586 * [backup-simplify]: Simplify (+ 0 1) into 1 11.586 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 11.586 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.586 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 11.586 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 11.587 * [backup-simplify]: Simplify (- 0) into 0 11.587 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 11.587 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 11.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 11.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 n) 1)))) into (* 2 (/ 1 n)) 11.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.588 * [taylor]: Taking taylor expansion of 2 in n 11.588 * [backup-simplify]: Simplify 2 into 2 11.588 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.588 * [taylor]: Taking taylor expansion of n in n 11.588 * [backup-simplify]: Simplify 0 into 0 11.589 * [backup-simplify]: Simplify 1 into 1 11.589 * [backup-simplify]: Simplify (/ 1 1) into 1 11.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.590 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.590 * [backup-simplify]: Simplify 0 into 0 11.590 * [backup-simplify]: Simplify 0 into 0 11.591 * [backup-simplify]: Simplify (+ 0 0) into 0 11.591 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 11.592 * [backup-simplify]: Simplify (+ 0 1) into 1 11.592 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.592 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 11.592 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 11.593 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 11.593 * [backup-simplify]: Simplify (- 0) into 0 11.594 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 11.594 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 11.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 11.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 n)) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 2))) 11.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.596 * [taylor]: Taking taylor expansion of 2 in n 11.596 * [backup-simplify]: Simplify 2 into 2 11.596 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.596 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.597 * [taylor]: Taking taylor expansion of n in n 11.597 * [backup-simplify]: Simplify 0 into 0 11.597 * [backup-simplify]: Simplify 1 into 1 11.597 * [backup-simplify]: Simplify (* 1 1) into 1 11.597 * [backup-simplify]: Simplify (/ 1 1) into 1 11.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.600 * [backup-simplify]: Simplify 0 into 0 11.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.601 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.601 * [backup-simplify]: Simplify 0 into 0 11.601 * [backup-simplify]: Simplify 0 into 0 11.601 * [backup-simplify]: Simplify (+ 0 0) into 0 11.602 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 11.602 * [backup-simplify]: Simplify (+ 0 0) into 0 11.602 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.602 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 11.603 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 11.603 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 11.603 * [backup-simplify]: Simplify (- 0) into 0 11.604 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 11.604 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 11.606 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 11.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 (pow n 3)) 1)) (* (* 2 (/ 1 n)) (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 3))) 11.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.606 * [taylor]: Taking taylor expansion of 2 in n 11.606 * [backup-simplify]: Simplify 2 into 2 11.606 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.606 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.606 * [taylor]: Taking taylor expansion of n in n 11.606 * [backup-simplify]: Simplify 0 into 0 11.606 * [backup-simplify]: Simplify 1 into 1 11.606 * [backup-simplify]: Simplify (* 1 1) into 1 11.607 * [backup-simplify]: Simplify (* 1 1) into 1 11.607 * [backup-simplify]: Simplify (/ 1 1) into 1 11.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.612 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.612 * [backup-simplify]: Simplify 0 into 0 11.612 * [backup-simplify]: Simplify 1 into 1 11.612 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (- (/ (/ 1 f) (- (+ (/ 1 f) (/ 1 n)))) (/ (/ 1 n) (- (+ (/ 1 n) (/ 1 f)))))))) into (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.612 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in (f n) around 0 11.612 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in n 11.612 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 11.613 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.613 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 11.613 * [taylor]: Taking taylor expansion of 1 in n 11.613 * [backup-simplify]: Simplify 1 into 1 11.613 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.613 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.613 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.613 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 11.613 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.613 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.613 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.613 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.613 * [taylor]: Taking taylor expansion of f in n 11.613 * [backup-simplify]: Simplify f into f 11.613 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.613 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.613 * [taylor]: Taking taylor expansion of n in n 11.613 * [backup-simplify]: Simplify 0 into 0 11.613 * [backup-simplify]: Simplify 1 into 1 11.613 * [backup-simplify]: Simplify (/ 1 1) into 1 11.613 * [taylor]: Taking taylor expansion of n in n 11.613 * [backup-simplify]: Simplify 0 into 0 11.613 * [backup-simplify]: Simplify 1 into 1 11.614 * [backup-simplify]: Simplify (+ 0 1) into 1 11.614 * [backup-simplify]: Simplify (* 1 0) into 0 11.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.614 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.615 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.615 * [backup-simplify]: Simplify (/ 1 1) into 1 11.615 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.615 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.615 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.615 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.615 * [taylor]: Taking taylor expansion of f in n 11.615 * [backup-simplify]: Simplify f into f 11.615 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.615 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.615 * [taylor]: Taking taylor expansion of n in n 11.615 * [backup-simplify]: Simplify 0 into 0 11.615 * [backup-simplify]: Simplify 1 into 1 11.615 * [backup-simplify]: Simplify (/ 1 1) into 1 11.615 * [taylor]: Taking taylor expansion of f in n 11.615 * [backup-simplify]: Simplify f into f 11.616 * [backup-simplify]: Simplify (+ 0 1) into 1 11.616 * [backup-simplify]: Simplify (* 1 f) into f 11.616 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.616 * [backup-simplify]: Simplify (+ 1 0) into 1 11.616 * [backup-simplify]: Simplify (exp 1) into E 11.616 * [taylor]: Taking taylor expansion of 1 in n 11.616 * [backup-simplify]: Simplify 1 into 1 11.616 * [backup-simplify]: Simplify (- 1) into -1 11.617 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.617 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 11.617 * [backup-simplify]: Simplify (log E) into 1 11.618 * [backup-simplify]: Simplify (/ 1 1) into 1 11.618 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 11.618 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.618 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.618 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.618 * [taylor]: Taking taylor expansion of 1 in f 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.618 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.618 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.618 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.618 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.618 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.618 * [taylor]: Taking taylor expansion of f in f 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [backup-simplify]: Simplify (/ 1 1) into 1 11.619 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.619 * [taylor]: Taking taylor expansion of n in f 11.619 * [backup-simplify]: Simplify n into n 11.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.619 * [taylor]: Taking taylor expansion of n in f 11.619 * [backup-simplify]: Simplify n into n 11.619 * [backup-simplify]: Simplify (+ 1 0) into 1 11.619 * [backup-simplify]: Simplify (* 1 n) into n 11.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.619 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.619 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.619 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.619 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.619 * [taylor]: Taking taylor expansion of f in f 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 1 into 1 11.619 * [backup-simplify]: Simplify (/ 1 1) into 1 11.619 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.619 * [taylor]: Taking taylor expansion of n in f 11.619 * [backup-simplify]: Simplify n into n 11.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.619 * [taylor]: Taking taylor expansion of f in f 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 1 into 1 11.620 * [backup-simplify]: Simplify (+ 1 0) into 1 11.620 * [backup-simplify]: Simplify (* 1 0) into 0 11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.621 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.621 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.621 * [backup-simplify]: Simplify (/ 1 1) into 1 11.621 * [backup-simplify]: Simplify (- 1) into -1 11.622 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.622 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.622 * [taylor]: Taking taylor expansion of 1 in f 11.622 * [backup-simplify]: Simplify 1 into 1 11.622 * [backup-simplify]: Simplify (- 1) into -1 11.623 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.624 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 11.624 * [backup-simplify]: Simplify (log (exp -1)) into -1 11.624 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.624 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 11.624 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.625 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.625 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.625 * [taylor]: Taking taylor expansion of 1 in f 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.625 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.625 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.625 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.625 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.625 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.625 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.625 * [taylor]: Taking taylor expansion of f in f 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 1 into 1 11.625 * [backup-simplify]: Simplify (/ 1 1) into 1 11.625 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.625 * [taylor]: Taking taylor expansion of n in f 11.625 * [backup-simplify]: Simplify n into n 11.625 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.625 * [taylor]: Taking taylor expansion of n in f 11.625 * [backup-simplify]: Simplify n into n 11.626 * [backup-simplify]: Simplify (+ 1 0) into 1 11.626 * [backup-simplify]: Simplify (* 1 n) into n 11.626 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.626 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.626 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.626 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.626 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.626 * [taylor]: Taking taylor expansion of f in f 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (/ 1 1) into 1 11.626 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.626 * [taylor]: Taking taylor expansion of n in f 11.626 * [backup-simplify]: Simplify n into n 11.626 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.626 * [taylor]: Taking taylor expansion of f in f 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify 1 into 1 11.626 * [backup-simplify]: Simplify (+ 1 0) into 1 11.627 * [backup-simplify]: Simplify (* 1 0) into 0 11.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.627 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.628 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.628 * [backup-simplify]: Simplify (/ 1 1) into 1 11.628 * [backup-simplify]: Simplify (- 1) into -1 11.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.629 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.629 * [taylor]: Taking taylor expansion of 1 in f 11.629 * [backup-simplify]: Simplify 1 into 1 11.629 * [backup-simplify]: Simplify (- 1) into -1 11.629 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.630 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 11.631 * [backup-simplify]: Simplify (log (exp -1)) into -1 11.632 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.632 * [taylor]: Taking taylor expansion of -1 in n 11.632 * [backup-simplify]: Simplify -1 into -1 11.632 * [backup-simplify]: Simplify -1 into -1 11.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.633 * [backup-simplify]: Simplify (+ 0 0) into 0 11.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.634 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.634 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.634 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 11.635 * [backup-simplify]: Simplify (- 0) into 0 11.635 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 11.635 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 11.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 11.636 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 11.636 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.637 * [taylor]: Taking taylor expansion of 2 in n 11.637 * [backup-simplify]: Simplify 2 into 2 11.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.637 * [taylor]: Taking taylor expansion of n in n 11.637 * [backup-simplify]: Simplify 0 into 0 11.637 * [backup-simplify]: Simplify 1 into 1 11.637 * [backup-simplify]: Simplify (/ 1 1) into 1 11.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.638 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.638 * [backup-simplify]: Simplify (- 0) into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.639 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.639 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.640 * [backup-simplify]: Simplify (+ 0 0) into 0 11.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.641 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.642 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.642 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 11.643 * [backup-simplify]: Simplify (- 0) into 0 11.643 * [backup-simplify]: Simplify (+ 0 0) into 0 11.643 * [backup-simplify]: Simplify (+ 0 0) into 0 11.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 11.645 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.645 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.645 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.645 * [taylor]: Taking taylor expansion of 2 in n 11.645 * [backup-simplify]: Simplify 2 into 2 11.645 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.645 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.645 * [taylor]: Taking taylor expansion of n in n 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 1 into 1 11.646 * [backup-simplify]: Simplify (* 1 1) into 1 11.646 * [backup-simplify]: Simplify (/ 1 1) into 1 11.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.648 * [backup-simplify]: Simplify (- 0) into 0 11.648 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.651 * [backup-simplify]: Simplify (- 0) into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.652 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.653 * [backup-simplify]: Simplify (+ 0 0) into 0 11.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.655 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.655 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.656 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 11.656 * [backup-simplify]: Simplify (- 0) into 0 11.656 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 11.657 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 11.662 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 11.663 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.663 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.663 * [taylor]: Taking taylor expansion of 2 in n 11.663 * [backup-simplify]: Simplify 2 into 2 11.663 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.663 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.663 * [taylor]: Taking taylor expansion of n in n 11.663 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify 1 into 1 11.664 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (* 1 1) into 1 11.664 * [backup-simplify]: Simplify (/ 1 1) into 1 11.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.674 * [backup-simplify]: Simplify (- 0) into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify -1 into -1 11.675 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (- (/ (/ 1 (- f)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (/ 1 (- n)) (- (+ (/ 1 (- n)) (/ 1 (- f))))))))) into (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.675 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in (f n) around 0 11.675 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in n 11.675 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 11.675 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.675 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 11.675 * [taylor]: Taking taylor expansion of 1 in n 11.675 * [backup-simplify]: Simplify 1 into 1 11.676 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.676 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.676 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 11.676 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 11.676 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 11.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 11.676 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.676 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.676 * [taylor]: Taking taylor expansion of f in n 11.676 * [backup-simplify]: Simplify f into f 11.676 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.676 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.676 * [taylor]: Taking taylor expansion of n in n 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 1 into 1 11.677 * [backup-simplify]: Simplify (/ 1 1) into 1 11.677 * [taylor]: Taking taylor expansion of n in n 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify 1 into 1 11.678 * [backup-simplify]: Simplify (+ 0 1) into 1 11.678 * [backup-simplify]: Simplify (* 1 0) into 0 11.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.679 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 11.679 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 11.680 * [backup-simplify]: Simplify (/ 1 1) into 1 11.680 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 11.680 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 11.680 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.680 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.680 * [taylor]: Taking taylor expansion of f in n 11.680 * [backup-simplify]: Simplify f into f 11.680 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.680 * [taylor]: Taking taylor expansion of n in n 11.680 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify 1 into 1 11.681 * [backup-simplify]: Simplify (/ 1 1) into 1 11.681 * [taylor]: Taking taylor expansion of f in n 11.681 * [backup-simplify]: Simplify f into f 11.681 * [backup-simplify]: Simplify (+ 0 1) into 1 11.681 * [backup-simplify]: Simplify (* 1 f) into f 11.681 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.682 * [backup-simplify]: Simplify (+ 1 0) into 1 11.682 * [backup-simplify]: Simplify (exp 1) into E 11.682 * [taylor]: Taking taylor expansion of 1 in n 11.682 * [backup-simplify]: Simplify 1 into 1 11.682 * [backup-simplify]: Simplify (- 1) into -1 11.683 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.684 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 11.684 * [backup-simplify]: Simplify (log E) into 1 11.684 * [backup-simplify]: Simplify (/ 1 1) into 1 11.684 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 11.684 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.684 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.684 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.684 * [taylor]: Taking taylor expansion of 1 in f 11.684 * [backup-simplify]: Simplify 1 into 1 11.684 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.685 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.685 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.685 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.685 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.685 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.685 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.685 * [taylor]: Taking taylor expansion of f in f 11.685 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify 1 into 1 11.685 * [backup-simplify]: Simplify (/ 1 1) into 1 11.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.685 * [taylor]: Taking taylor expansion of n in f 11.685 * [backup-simplify]: Simplify n into n 11.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.685 * [taylor]: Taking taylor expansion of n in f 11.685 * [backup-simplify]: Simplify n into n 11.686 * [backup-simplify]: Simplify (+ 1 0) into 1 11.686 * [backup-simplify]: Simplify (* 1 n) into n 11.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.686 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.686 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.686 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.686 * [taylor]: Taking taylor expansion of f in f 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 1 into 1 11.686 * [backup-simplify]: Simplify (/ 1 1) into 1 11.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.686 * [taylor]: Taking taylor expansion of n in f 11.686 * [backup-simplify]: Simplify n into n 11.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.686 * [taylor]: Taking taylor expansion of f in f 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 1 into 1 11.687 * [backup-simplify]: Simplify (+ 1 0) into 1 11.687 * [backup-simplify]: Simplify (* 1 0) into 0 11.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.687 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.688 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.688 * [backup-simplify]: Simplify (/ 1 1) into 1 11.688 * [backup-simplify]: Simplify (- 1) into -1 11.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.689 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.689 * [taylor]: Taking taylor expansion of 1 in f 11.689 * [backup-simplify]: Simplify 1 into 1 11.689 * [backup-simplify]: Simplify (- 1) into -1 11.689 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.690 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 11.691 * [backup-simplify]: Simplify (log (exp -1)) into -1 11.691 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.691 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 11.691 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.691 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 11.691 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 11.691 * [taylor]: Taking taylor expansion of 1 in f 11.691 * [backup-simplify]: Simplify 1 into 1 11.691 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.691 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 11.691 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 11.691 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 11.691 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 11.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 11.691 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.691 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.691 * [taylor]: Taking taylor expansion of f in f 11.691 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 1 into 1 11.692 * [backup-simplify]: Simplify (/ 1 1) into 1 11.692 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.692 * [taylor]: Taking taylor expansion of n in f 11.692 * [backup-simplify]: Simplify n into n 11.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.692 * [taylor]: Taking taylor expansion of n in f 11.692 * [backup-simplify]: Simplify n into n 11.692 * [backup-simplify]: Simplify (+ 1 0) into 1 11.692 * [backup-simplify]: Simplify (* 1 n) into n 11.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.692 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 11.692 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 11.692 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.692 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.692 * [taylor]: Taking taylor expansion of f in f 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 1 into 1 11.693 * [backup-simplify]: Simplify (/ 1 1) into 1 11.693 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.693 * [taylor]: Taking taylor expansion of n in f 11.693 * [backup-simplify]: Simplify n into n 11.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.693 * [taylor]: Taking taylor expansion of f in f 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify 1 into 1 11.693 * [backup-simplify]: Simplify (+ 1 0) into 1 11.693 * [backup-simplify]: Simplify (* 1 0) into 0 11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.699 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.700 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 11.700 * [backup-simplify]: Simplify (/ 1 1) into 1 11.700 * [backup-simplify]: Simplify (- 1) into -1 11.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.701 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.701 * [taylor]: Taking taylor expansion of 1 in f 11.701 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (- 1) into -1 11.702 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 11.702 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 11.703 * [backup-simplify]: Simplify (log (exp -1)) into -1 11.703 * [backup-simplify]: Simplify (/ 1 -1) into -1 11.703 * [taylor]: Taking taylor expansion of -1 in n 11.703 * [backup-simplify]: Simplify -1 into -1 11.703 * [backup-simplify]: Simplify -1 into -1 11.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.704 * [backup-simplify]: Simplify (+ 0 0) into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 11.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 11.705 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 11.705 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 11.705 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 11.706 * [backup-simplify]: Simplify (- 0) into 0 11.706 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 11.706 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 11.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 11.707 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 11.707 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 11.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 11.707 * [taylor]: Taking taylor expansion of 2 in n 11.707 * [backup-simplify]: Simplify 2 into 2 11.707 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.707 * [taylor]: Taking taylor expansion of n in n 11.708 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify 1 into 1 11.708 * [backup-simplify]: Simplify (/ 1 1) into 1 11.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.709 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 11.709 * [backup-simplify]: Simplify (- 0) into 0 11.709 * [backup-simplify]: Simplify 0 into 0 11.709 * [backup-simplify]: Simplify 0 into 0 11.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.709 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.710 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 11.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 11.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.711 * [backup-simplify]: Simplify (+ 0 0) into 0 11.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 11.712 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 11.712 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 11.713 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 11.713 * [backup-simplify]: Simplify (- 0) into 0 11.713 * [backup-simplify]: Simplify (+ 0 0) into 0 11.713 * [backup-simplify]: Simplify (+ 0 0) into 0 11.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 11.715 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 11.716 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 11.716 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 11.716 * [taylor]: Taking taylor expansion of 2 in n 11.716 * [backup-simplify]: Simplify 2 into 2 11.716 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.716 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.716 * [taylor]: Taking taylor expansion of n in n 11.716 * [backup-simplify]: Simplify 0 into 0 11.716 * [backup-simplify]: Simplify 1 into 1 11.716 * [backup-simplify]: Simplify (* 1 1) into 1 11.716 * [backup-simplify]: Simplify (/ 1 1) into 1 11.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.719 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.719 * [backup-simplify]: Simplify (- 0) into 0 11.719 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.720 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 11.720 * [backup-simplify]: Simplify (- 0) into 0 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 0 into 0 11.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.721 * [backup-simplify]: Simplify (+ 0 0) into 0 11.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 11.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 11.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.723 * [backup-simplify]: Simplify (+ 0 0) into 0 11.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 11.724 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 11.725 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 11.725 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* -2/3 (/ (exp -1) (pow n 3))) 11.726 * [backup-simplify]: Simplify (- 0) into 0 11.726 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 11.727 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 11.730 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 11.730 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 11.730 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 11.730 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 11.730 * [taylor]: Taking taylor expansion of 2 in n 11.730 * [backup-simplify]: Simplify 2 into 2 11.730 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.730 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.731 * [taylor]: Taking taylor expansion of n in n 11.731 * [backup-simplify]: Simplify 0 into 0 11.731 * [backup-simplify]: Simplify 1 into 1 11.731 * [backup-simplify]: Simplify (* 1 1) into 1 11.731 * [backup-simplify]: Simplify (* 1 1) into 1 11.731 * [backup-simplify]: Simplify (/ 1 1) into 1 11.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.736 * [backup-simplify]: Simplify (- 0) into 0 11.736 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify -1 into -1 11.737 * * * [progress]: simplifying candidates 11.845 * [simplify]: Simplifying: (exp (- (/ f (- (+ f n))) (/ n (- (+ n f))))) (expm1 (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (log1p (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (log (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (exp (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (* (cbrt (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (cbrt (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f))))))) (cbrt (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (* (* (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f))))) (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (sqrt (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (sqrt (expm1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (cbrt (/ n (- (+ n f)))) (* (cbrt (/ n (- (+ n f)))) (cbrt (/ n (- (+ n f)))))))) (fma (- (cbrt (/ n (- (+ n f))))) (* (cbrt (/ n (- (+ n f)))) (cbrt (/ n (- (+ n f))))) (* (cbrt (/ n (- (+ n f)))) (* (cbrt (/ n (- (+ n f)))) (cbrt (/ n (- (+ n f))))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (sqrt (/ n (- (+ n f)))) (sqrt (/ n (- (+ n f))))))) (fma (- (sqrt (/ n (- (+ n f))))) (sqrt (/ n (- (+ n f)))) (* (sqrt (/ n (- (+ n f)))) (sqrt (/ n (- (+ n f)))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (cbrt n) (cbrt (- (+ n f)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (- (+ n f))) (cbrt (- (+ n f)))))))) (fma (- (/ (cbrt n) (cbrt (- (+ n f))))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))) (* (/ (cbrt n) (cbrt (- (+ n f)))) (/ (* (cbrt n) (cbrt n)) (* (cbrt (- (+ n f))) (cbrt (- (+ n f))))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (cbrt n) (sqrt (- (+ n f)))) (/ (* (cbrt n) (cbrt n)) (sqrt (- (+ n f))))))) (fma (- (/ (cbrt n) (sqrt (- (+ n f))))) (/ (* (cbrt n) (cbrt n)) (sqrt (- (+ n f)))) (* (/ (cbrt n) (sqrt (- (+ n f)))) (/ (* (cbrt n) (cbrt n)) (sqrt (- (+ n f)))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (cbrt n) (- (+ n f))) (/ (* (cbrt n) (cbrt n)) 1)))) (fma (- (/ (cbrt n) (- (+ n f)))) (/ (* (cbrt n) (cbrt n)) 1) (* (/ (cbrt n) (- (+ n f))) (/ (* (cbrt n) (cbrt n)) 1))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (cbrt n) (+ n f)) (/ (* (cbrt n) (cbrt n)) -1)))) (fma (- (/ (cbrt n) (+ n f))) (/ (* (cbrt n) (cbrt n)) -1) (* (/ (cbrt n) (+ n f)) (/ (* (cbrt n) (cbrt n)) -1))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (cbrt n) (cbrt (+ n f))) (/ 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(sqrt n) (sqrt (- (+ n f)))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (sqrt n) (- (+ n f))) (/ (sqrt n) 1)))) (fma (- (/ (sqrt n) (- (+ n f)))) (/ (sqrt n) 1) (* (/ (sqrt n) (- (+ n f))) (/ (sqrt n) 1))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (sqrt n) (+ n f)) (/ (sqrt n) -1)))) (fma (- (/ (sqrt n) (+ n f))) (/ (sqrt n) -1) (* (/ (sqrt n) (+ n f)) (/ (sqrt n) -1))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (sqrt n) (cbrt (+ n f))) (/ (sqrt n) (- (* (cbrt (+ n f)) (cbrt (+ n f)))))))) (fma (- (/ (sqrt n) (cbrt (+ n f)))) (/ (sqrt n) (- (* (cbrt (+ n f)) (cbrt (+ n f))))) (* (/ (sqrt n) (cbrt (+ n f))) (/ (sqrt n) (- (* (cbrt (+ n f)) (cbrt (+ n f))))))) (fma (* (cbrt (/ f (- (+ f n)))) (cbrt (/ f (- (+ f n))))) (cbrt (/ f (- (+ f n)))) (- (* (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt n) (- (sqrt (+ n f))))))) (fma (- (/ (sqrt n) (sqrt 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(/ n (- (+ n f))))) (cbrt (- (/ f (- (+ f n))) (/ n (- (+ n f))))))) (/ 1 (cbrt (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (/ 1 (sqrt (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) (/ 1 (sqrt (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) 1 (/ 1 (- (/ f (- (+ f n))) (/ n (- (+ n f))))) (/ 1 (- (/ f (- (+ f n))) (/ n (- (+ n f))))) (- (/ f (- (+ f n))) (/ n (- (+ n f)))) (/ 1 (* (cbrt (- (/ f (- (+ f n))) (/ n (- (+ n f))))) (cbrt (- (/ f (- (+ f n))) (/ n (- (+ n f))))))) (/ 1 (sqrt (- (/ f (- (+ f n))) (/ n (- (+ n f)))))) 1 (- (/ f (- (+ f n))) (/ n (- (+ n f)))) (- (/ f (- (+ f n))) (/ n (- (+ n f)))) (- (/ f (- (+ f n))) (/ n (- (+ n f)))) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 0 0 0 1 -1 -1 14.546 * * * [progress]: adding candidates to table 18.503 * [progress]: [Phase 3 of 3] Extracting. 18.503 * * [regime]: Finding splitpoints for: (# # #) 18.505 * * * [regime-changes]: Trying 2 branch expressions: (n f) 18.505 * * * * [regimes]: Trying to branch on n from (# # #) 18.539 * * * * [regimes]: Trying to branch on f from (# # #) 18.566 * * * [regime]: Found split indices: #