1.061 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: Extracting # 1 : cost 0 0.091 * * [simplify]: Extracting # 2 : cost 0 0.091 * * [simplify]: Extracting # 3 : cost 0 0.091 * * [simplify]: Extracting # 4 : cost 0 0.091 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.100 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.102 * * [simplify]: Extracting # 0 : cost 0 0.102 * * [simplify]: Extracting # 1 : cost 0 0.102 * * [simplify]: Extracting # 2 : cost 0 0.102 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.106 * * [simplify]: Extracting # 2 : cost 0 0.106 * * [simplify]: iteration 5 : 30 enodes (cost 8 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: iteration done: 32 enodes (cost 8 ) 0.157 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.159 * * [progress]: iteration 1 / 4 0.159 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.270 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.270 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.272 * [taylor]: Taking taylor expansion of -1 in n 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.272 * [taylor]: Taking taylor expansion of (+ n f) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [taylor]: Taking taylor expansion of f in n 0.272 * [backup-simplify]: Simplify f into f 0.272 * [taylor]: Taking taylor expansion of (- f n) in n 0.272 * [taylor]: Taking taylor expansion of f in n 0.272 * [backup-simplify]: Simplify f into f 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (+ 0 f) into f 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ f 0) into f 0.274 * [backup-simplify]: Simplify (/ f f) into 1 0.274 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.274 * [taylor]: Taking taylor expansion of -1 in f 0.274 * [backup-simplify]: Simplify -1 into -1 0.274 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.274 * [taylor]: Taking taylor expansion of (+ n f) in f 0.274 * [taylor]: Taking taylor expansion of n in f 0.274 * [backup-simplify]: Simplify n into n 0.274 * [taylor]: Taking taylor expansion of f in f 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (- f n) in f 0.274 * [taylor]: Taking taylor expansion of f in f 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of n in f 0.275 * [backup-simplify]: Simplify n into n 0.275 * [backup-simplify]: Simplify (+ n 0) into n 0.275 * [backup-simplify]: Simplify (- n) into (- n) 0.275 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.275 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.275 * [taylor]: Taking taylor expansion of -1 in f 0.275 * [backup-simplify]: Simplify -1 into -1 0.275 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.275 * [taylor]: Taking taylor expansion of (+ n f) in f 0.275 * [taylor]: Taking taylor expansion of n in f 0.275 * [backup-simplify]: Simplify n into n 0.275 * [taylor]: Taking taylor expansion of f in f 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (- f n) in f 0.275 * [taylor]: Taking taylor expansion of f in f 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of n in f 0.275 * [backup-simplify]: Simplify n into n 0.275 * [backup-simplify]: Simplify (+ n 0) into n 0.275 * [backup-simplify]: Simplify (- n) into (- n) 0.276 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.276 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.278 * [backup-simplify]: Simplify (* -1 -1) into 1 0.278 * [taylor]: Taking taylor expansion of 1 in n 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (+ 0 1) into 1 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.281 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.281 * [taylor]: Taking taylor expansion of 2 in n 0.281 * [backup-simplify]: Simplify 2 into 2 0.281 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.287 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.287 * [taylor]: Taking taylor expansion of 2 in n 0.287 * [backup-simplify]: Simplify 2 into 2 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.287 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.287 * [taylor]: Taking taylor expansion of n in n 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [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)))) 0.311 * [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))) 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.312 * [taylor]: Taking taylor expansion of 2 in n 0.312 * [backup-simplify]: Simplify 2 into 2 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.312 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.323 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.323 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.323 * [taylor]: Taking taylor expansion of -1 in n 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.323 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.323 * [taylor]: Taking taylor expansion of f in n 0.323 * [backup-simplify]: Simplify f into f 0.323 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.324 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.324 * [taylor]: Taking taylor expansion of f in n 0.324 * [backup-simplify]: Simplify f into f 0.324 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.324 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (- 1) into -1 0.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.326 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.326 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.326 * [taylor]: Taking taylor expansion of -1 in f 0.326 * [backup-simplify]: Simplify -1 into -1 0.326 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.326 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.326 * [taylor]: Taking taylor expansion of f in f 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.327 * [taylor]: Taking taylor expansion of n in f 0.327 * [backup-simplify]: Simplify n into n 0.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.327 * [taylor]: Taking taylor expansion of f in f 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.327 * [taylor]: Taking taylor expansion of n in f 0.327 * [backup-simplify]: Simplify n into n 0.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.329 * [taylor]: Taking taylor expansion of -1 in f 0.329 * [backup-simplify]: Simplify -1 into -1 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.329 * [taylor]: Taking taylor expansion of n in f 0.329 * [backup-simplify]: Simplify n into n 0.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.329 * [taylor]: Taking taylor expansion of f in f 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.330 * [taylor]: Taking taylor expansion of n in f 0.330 * [backup-simplify]: Simplify n into n 0.330 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (* -1 1) into -1 0.331 * [taylor]: Taking taylor expansion of -1 in n 0.331 * [backup-simplify]: Simplify -1 into -1 0.331 * [backup-simplify]: Simplify -1 into -1 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.332 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.332 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.333 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.333 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.333 * [taylor]: Taking taylor expansion of 2 in n 0.333 * [backup-simplify]: Simplify 2 into 2 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.337 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.337 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.337 * [taylor]: Taking taylor expansion of 2 in n 0.337 * [backup-simplify]: Simplify 2 into 2 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.337 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [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))) 0.346 * [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)))) 0.346 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.346 * [taylor]: Taking taylor expansion of 2 in n 0.346 * [backup-simplify]: Simplify 2 into 2 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.346 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.352 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.352 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.352 * [taylor]: Taking taylor expansion of f in n 0.352 * [backup-simplify]: Simplify f into f 0.352 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.353 * [taylor]: Taking taylor expansion of f in n 0.353 * [backup-simplify]: Simplify f into f 0.353 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.353 * [backup-simplify]: Simplify (+ 0 1) into 1 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.354 * [taylor]: Taking taylor expansion of f in f 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.354 * [taylor]: Taking taylor expansion of n in f 0.354 * [backup-simplify]: Simplify n into n 0.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.354 * [taylor]: Taking taylor expansion of n in f 0.354 * [backup-simplify]: Simplify n into n 0.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.354 * [taylor]: Taking taylor expansion of f in f 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.356 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.356 * [taylor]: Taking taylor expansion of f in f 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.356 * [taylor]: Taking taylor expansion of n in f 0.356 * [backup-simplify]: Simplify n into n 0.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.356 * [taylor]: Taking taylor expansion of n in f 0.356 * [backup-simplify]: Simplify n into n 0.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.356 * [taylor]: Taking taylor expansion of f in f 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (- 1) into -1 0.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.357 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.357 * [taylor]: Taking taylor expansion of -1 in n 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.359 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.359 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.359 * [taylor]: Taking taylor expansion of 2 in n 0.359 * [backup-simplify]: Simplify 2 into 2 0.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.359 * [taylor]: Taking taylor expansion of n in n 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.363 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.363 * [taylor]: Taking taylor expansion of 2 in n 0.363 * [backup-simplify]: Simplify 2 into 2 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.363 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.363 * [taylor]: Taking taylor expansion of n in n 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [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)))) 0.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.377 * [taylor]: Taking taylor expansion of 2 in n 0.377 * [backup-simplify]: Simplify 2 into 2 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.377 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.377 * [taylor]: Taking taylor expansion of n in n 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * * * [progress]: simplifying candidates 0.392 * [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 0.396 * * [simplify]: Extracting # 0 : cost 0 0.397 * * [simplify]: Extracting # 1 : cost 0 0.397 * * [simplify]: Extracting # 2 : cost 0 0.397 * * [simplify]: Extracting # 3 : cost 0 0.398 * * [simplify]: Extracting # 4 : cost 0 0.398 * * [simplify]: Extracting # 5 : cost 0 0.398 * * [simplify]: Extracting # 6 : cost 0 0.399 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.469 * * [simplify]: Extracting # 0 : cost 0 0.470 * * [simplify]: Extracting # 1 : cost 0 0.471 * * [simplify]: Extracting # 2 : cost 0 0.472 * * [simplify]: Extracting # 3 : cost 0 0.473 * * [simplify]: Extracting # 4 : cost 0 0.474 * * [simplify]: iteration 1 : 316 enodes (cost 1395 ) 0.584 * * [simplify]: Extracting # 0 : cost 0 0.585 * * [simplify]: Extracting # 1 : cost 0 0.587 * * [simplify]: Extracting # 2 : cost 0 0.588 * * [simplify]: Extracting # 3 : cost 0 0.590 * * [simplify]: iteration 2 : 1080 enodes (cost 1367 ) 1.080 * * [simplify]: Extracting # 0 : cost 0 1.108 * * [simplify]: Extracting # 1 : cost 0 1.120 * * [simplify]: Extracting # 2 : cost 0 1.131 * * [simplify]: Extracting # 3 : cost 0 1.137 * * [simplify]: Extracting # 4 : cost 0 1.143 * * [simplify]: Extracting # 5 : cost 0 1.149 * * [simplify]: iteration done: 5001 enodes (cost 1358 ) 1.150 * [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)) 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 (+ n f)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (/ (- (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 1.151 * * * [progress]: adding candidates to table 1.332 * * [progress]: iteration 2 / 4 1.332 * * * [progress]: picking best candidate 1.337 * * * * [pick]: Picked # 1.337 * * * [progress]: localizing error 1.350 * * * [progress]: generating rewritten candidates 1.350 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.439 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.454 * * * [progress]: generating series expansions 1.454 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.454 * [backup-simplify]: Simplify (* (/ -1 (- f n)) (+ f n)) into (* -1 (/ (+ n f) (- f n))) 1.454 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.454 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.454 * [taylor]: Taking taylor expansion of -1 in n 1.454 * [backup-simplify]: Simplify -1 into -1 1.454 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.454 * [taylor]: Taking taylor expansion of (+ n f) in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [taylor]: Taking taylor expansion of f in n 1.455 * [backup-simplify]: Simplify f into f 1.455 * [taylor]: Taking taylor expansion of (- f n) in n 1.455 * [taylor]: Taking taylor expansion of f in n 1.455 * [backup-simplify]: Simplify f into f 1.455 * [taylor]: Taking taylor expansion of n in n 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (+ 0 f) into f 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ f 0) into f 1.455 * [backup-simplify]: Simplify (/ f f) into 1 1.455 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.455 * [taylor]: Taking taylor expansion of -1 in f 1.455 * [backup-simplify]: Simplify -1 into -1 1.455 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.455 * [taylor]: Taking taylor expansion of (+ n f) in f 1.455 * [taylor]: Taking taylor expansion of n in f 1.455 * [backup-simplify]: Simplify n into n 1.455 * [taylor]: Taking taylor expansion of f in f 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of (- f n) in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [backup-simplify]: Simplify n into n 1.456 * [backup-simplify]: Simplify (+ n 0) into n 1.456 * [backup-simplify]: Simplify (- n) into (- n) 1.456 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.456 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.456 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.456 * [taylor]: Taking taylor expansion of -1 in f 1.456 * [backup-simplify]: Simplify -1 into -1 1.456 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.456 * [taylor]: Taking taylor expansion of (+ n f) in f 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [backup-simplify]: Simplify n into n 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [taylor]: Taking taylor expansion of (- f n) in f 1.456 * [taylor]: Taking taylor expansion of f in f 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [taylor]: Taking taylor expansion of n in f 1.456 * [backup-simplify]: Simplify n into n 1.456 * [backup-simplify]: Simplify (+ n 0) into n 1.456 * [backup-simplify]: Simplify (- n) into (- n) 1.456 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.456 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.456 * [backup-simplify]: Simplify (* -1 -1) into 1 1.456 * [taylor]: Taking taylor expansion of 1 in n 1.456 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (+ 0 1) into 1 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 1 0) into 1 1.458 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.458 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.458 * [taylor]: Taking taylor expansion of 2 in n 1.458 * [backup-simplify]: Simplify 2 into 2 1.458 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.462 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.462 * [taylor]: Taking taylor expansion of 2 in n 1.462 * [backup-simplify]: Simplify 2 into 2 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.462 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (/ 1 1) into 1 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.468 * [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)))) 1.469 * [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))) 1.469 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.469 * [taylor]: Taking taylor expansion of 2 in n 1.469 * [backup-simplify]: Simplify 2 into 2 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.469 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 f) (/ 1 n))) (+ (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.479 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.479 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.479 * [taylor]: Taking taylor expansion of -1 in n 1.479 * [backup-simplify]: Simplify -1 into -1 1.479 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.479 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.479 * [taylor]: Taking taylor expansion of f in n 1.479 * [backup-simplify]: Simplify f into f 1.479 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.479 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (/ 1 1) into 1 1.480 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.480 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.480 * [taylor]: Taking taylor expansion of f in n 1.480 * [backup-simplify]: Simplify f into f 1.480 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (/ 1 1) into 1 1.480 * [backup-simplify]: Simplify (+ 0 1) into 1 1.481 * [backup-simplify]: Simplify (- 1) into -1 1.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.481 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.481 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.481 * [taylor]: Taking taylor expansion of -1 in f 1.481 * [backup-simplify]: Simplify -1 into -1 1.481 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.481 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.481 * [taylor]: Taking taylor expansion of f in f 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.482 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.482 * [taylor]: Taking taylor expansion of f in f 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.482 * [taylor]: Taking taylor expansion of n in f 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.482 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.483 * [taylor]: Taking taylor expansion of -1 in f 1.483 * [backup-simplify]: Simplify -1 into -1 1.483 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.483 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.483 * [taylor]: Taking taylor expansion of f in f 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.483 * [taylor]: Taking taylor expansion of n in f 1.483 * [backup-simplify]: Simplify n into n 1.483 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.483 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.484 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.484 * [taylor]: Taking taylor expansion of f in f 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.484 * [taylor]: Taking taylor expansion of n in f 1.484 * [backup-simplify]: Simplify n into n 1.484 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.484 * [backup-simplify]: Simplify (+ 1 0) into 1 1.485 * [backup-simplify]: Simplify (+ 1 0) into 1 1.485 * [backup-simplify]: Simplify (/ 1 1) into 1 1.485 * [backup-simplify]: Simplify (* -1 1) into -1 1.485 * [taylor]: Taking taylor expansion of -1 in n 1.485 * [backup-simplify]: Simplify -1 into -1 1.485 * [backup-simplify]: Simplify -1 into -1 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.487 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.487 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.487 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.487 * [taylor]: Taking taylor expansion of 2 in n 1.487 * [backup-simplify]: Simplify 2 into 2 1.487 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.487 * [taylor]: Taking taylor expansion of n in n 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.492 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.492 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.492 * [taylor]: Taking taylor expansion of 2 in n 1.492 * [backup-simplify]: Simplify 2 into 2 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.492 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.492 * [taylor]: Taking taylor expansion of n in n 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.497 * [backup-simplify]: Simplify (- 0) into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [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))) 1.501 * [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)))) 1.501 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.501 * [taylor]: Taking taylor expansion of 2 in n 1.501 * [backup-simplify]: Simplify 2 into 2 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.501 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.501 * [taylor]: Taking taylor expansion of n in n 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (* 1 1) into 1 1.501 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ 1 1) into 1 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify -1 into -1 1.507 * [backup-simplify]: Simplify (* (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.507 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.507 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.507 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.507 * [taylor]: Taking taylor expansion of f in n 1.507 * [backup-simplify]: Simplify f into f 1.507 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.508 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.508 * [taylor]: Taking taylor expansion of f in n 1.508 * [backup-simplify]: Simplify f into f 1.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.508 * [backup-simplify]: Simplify (+ 0 1) into 1 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.509 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.509 * [taylor]: Taking taylor expansion of f in f 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.509 * [taylor]: Taking taylor expansion of n in f 1.509 * [backup-simplify]: Simplify n into n 1.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.509 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.509 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.509 * [taylor]: Taking taylor expansion of n in f 1.509 * [backup-simplify]: Simplify n into n 1.509 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.509 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.509 * [taylor]: Taking taylor expansion of f in f 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [backup-simplify]: Simplify (+ 1 0) into 1 1.510 * [backup-simplify]: Simplify (- 1) into -1 1.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.511 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.511 * [taylor]: Taking taylor expansion of f in f 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.511 * [taylor]: Taking taylor expansion of n in f 1.511 * [backup-simplify]: Simplify n into n 1.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.511 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.511 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.511 * [taylor]: Taking taylor expansion of n in f 1.511 * [backup-simplify]: Simplify n into n 1.511 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.511 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.511 * [taylor]: Taking taylor expansion of f in f 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (/ 1 1) into 1 1.512 * [backup-simplify]: Simplify (+ 1 0) into 1 1.512 * [backup-simplify]: Simplify (- 1) into -1 1.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.513 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.513 * [taylor]: Taking taylor expansion of -1 in n 1.513 * [backup-simplify]: Simplify -1 into -1 1.513 * [backup-simplify]: Simplify -1 into -1 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.514 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.514 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.514 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.514 * [taylor]: Taking taylor expansion of 2 in n 1.514 * [backup-simplify]: Simplify 2 into 2 1.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.517 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.518 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.518 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.518 * [taylor]: Taking taylor expansion of 2 in n 1.518 * [backup-simplify]: Simplify 2 into 2 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.518 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [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)))) 1.526 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.526 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.526 * [taylor]: Taking taylor expansion of 2 in n 1.526 * [backup-simplify]: Simplify 2 into 2 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.526 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.526 * [taylor]: Taking taylor expansion of n in n 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (* 1 1) into 1 1.527 * [backup-simplify]: Simplify (* 1 1) into 1 1.527 * [backup-simplify]: Simplify (/ 1 1) into 1 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify -1 into -1 1.532 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.533 * [backup-simplify]: Simplify (/ -1 (- f n)) into (/ -1 (- f n)) 1.533 * [approximate]: Taking taylor expansion of (/ -1 (- f n)) in (f n) around 0 1.533 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in n 1.533 * [taylor]: Taking taylor expansion of -1 in n 1.533 * [backup-simplify]: Simplify -1 into -1 1.533 * [taylor]: Taking taylor expansion of (- f n) in n 1.533 * [taylor]: Taking taylor expansion of f in n 1.533 * [backup-simplify]: Simplify f into f 1.533 * [taylor]: Taking taylor expansion of n in n 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (- 0) into 0 1.533 * [backup-simplify]: Simplify (+ f 0) into f 1.533 * [backup-simplify]: Simplify (/ -1 f) into (/ -1 f) 1.533 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.533 * [taylor]: Taking taylor expansion of -1 in f 1.533 * [backup-simplify]: Simplify -1 into -1 1.533 * [taylor]: Taking taylor expansion of (- f n) in f 1.533 * [taylor]: Taking taylor expansion of f in f 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of n in f 1.533 * [backup-simplify]: Simplify n into n 1.533 * [backup-simplify]: Simplify (- n) into (- n) 1.533 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.533 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 1.533 * [taylor]: Taking taylor expansion of (/ -1 (- f n)) in f 1.533 * [taylor]: Taking taylor expansion of -1 in f 1.533 * [backup-simplify]: Simplify -1 into -1 1.533 * [taylor]: Taking taylor expansion of (- f n) in f 1.533 * [taylor]: Taking taylor expansion of f in f 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of n in f 1.533 * [backup-simplify]: Simplify n into n 1.533 * [backup-simplify]: Simplify (- n) into (- n) 1.533 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.534 * [backup-simplify]: Simplify (/ -1 (- n)) into (/ 1 n) 1.534 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.534 * [taylor]: Taking taylor expansion of n in n 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 1 0) into 1 1.535 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 1 (- n))))) into (/ 1 (pow n 2)) 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.535 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.535 * [taylor]: Taking taylor expansion of n in n 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (/ 1 n) (/ 0 (- n))) (* (/ 1 (pow n 2)) (/ 1 (- n))))) into (/ 1 (pow n 3)) 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.539 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.539 * [taylor]: Taking taylor expansion of n in n 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (/ -1 (- (/ 1 f) (/ 1 n))) into (/ -1 (- (/ 1 f) (/ 1 n))) 1.552 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in (f n) around 0 1.552 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in n 1.552 * [taylor]: Taking taylor expansion of -1 in n 1.552 * [backup-simplify]: Simplify -1 into -1 1.552 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.552 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.552 * [taylor]: Taking taylor expansion of f in n 1.552 * [backup-simplify]: Simplify f into f 1.553 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.553 * [taylor]: Taking taylor expansion of n in n 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [backup-simplify]: Simplify (- 1) into -1 1.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.554 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.554 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.554 * [taylor]: Taking taylor expansion of -1 in f 1.554 * [backup-simplify]: Simplify -1 into -1 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.554 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.555 * [taylor]: Taking taylor expansion of f in f 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.555 * [taylor]: Taking taylor expansion of n in f 1.555 * [backup-simplify]: Simplify n into n 1.555 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.556 * [backup-simplify]: Simplify (+ 1 0) into 1 1.556 * [backup-simplify]: Simplify (/ -1 1) into -1 1.556 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 f) (/ 1 n))) in f 1.556 * [taylor]: Taking taylor expansion of -1 in f 1.556 * [backup-simplify]: Simplify -1 into -1 1.556 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.556 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.556 * [taylor]: Taking taylor expansion of f in f 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (/ 1 1) into 1 1.557 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.557 * [taylor]: Taking taylor expansion of n in f 1.557 * [backup-simplify]: Simplify n into n 1.557 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.557 * [backup-simplify]: Simplify (+ 1 0) into 1 1.558 * [backup-simplify]: Simplify (/ -1 1) into -1 1.558 * [taylor]: Taking taylor expansion of -1 in n 1.558 * [backup-simplify]: Simplify -1 into -1 1.558 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.559 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 n)) 1)))) into (- (/ 1 n)) 1.560 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 1.560 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (- (/ 1 (pow n 2))) 1.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.566 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.566 * [taylor]: Taking taylor expansion of n in n 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (/ -1 (- (/ 1 (- f)) (/ 1 (- n)))) into (/ -1 (- (/ 1 n) (/ 1 f))) 1.575 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.575 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in n 1.575 * [taylor]: Taking taylor expansion of -1 in n 1.575 * [backup-simplify]: Simplify -1 into -1 1.575 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.575 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.575 * [taylor]: Taking taylor expansion of n in n 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.575 * [taylor]: Taking taylor expansion of f in n 1.575 * [backup-simplify]: Simplify f into f 1.575 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.576 * [backup-simplify]: Simplify (+ 1 0) into 1 1.576 * [backup-simplify]: Simplify (/ -1 1) into -1 1.577 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.577 * [taylor]: Taking taylor expansion of -1 in f 1.577 * [backup-simplify]: Simplify -1 into -1 1.577 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.577 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.577 * [taylor]: Taking taylor expansion of n in f 1.577 * [backup-simplify]: Simplify n into n 1.577 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.577 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.577 * [taylor]: Taking taylor expansion of f in f 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [backup-simplify]: Simplify (- 1) into -1 1.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.579 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.579 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 n) (/ 1 f))) in f 1.579 * [taylor]: Taking taylor expansion of -1 in f 1.579 * [backup-simplify]: Simplify -1 into -1 1.579 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.579 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.579 * [taylor]: Taking taylor expansion of n in f 1.579 * [backup-simplify]: Simplify n into n 1.579 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.579 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.579 * [taylor]: Taking taylor expansion of f in f 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (- 1) into -1 1.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.581 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.581 * [taylor]: Taking taylor expansion of 1 in n 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.587 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 n) -1)))) into (/ 1 n) 1.587 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (/ 1 n) (/ (/ 1 n) -1)))) into (/ 1 (pow n 2)) 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.593 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * * * [progress]: simplifying candidates 1.602 * [simplify]: Simplifying: (expm1 (* (/ -1 (- f n)) (+ f n))) (log1p (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n)) (+ (- (log -1) (log (- f n))) (log (+ f n))) (+ (log (/ -1 (- f n))) (log (+ f n))) (log (* (/ -1 (- f n)) (+ f n))) (exp (* (/ -1 (- f n)) (+ f n))) (* (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (* (/ -1 (- f n)) (+ f n))) (cbrt (* (/ -1 (- f n)) (+ f n)))) (cbrt (* (/ -1 (- f n)) (+ f n))) (* (* (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n))) (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (sqrt (* (/ -1 (- f n)) (+ f n))) (* -1 (+ (pow f 3) (pow n 3))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* -1 (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n) (* f (/ -1 (- f n))) (* n (/ -1 (- f n))) (* (/ -1 (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (/ -1 (- f n)) (sqrt (+ f n))) (* (/ -1 (- f n)) 1) (* (/ -1 (- f n)) 1) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ -1 (cbrt (- f n))) (+ f n)) (* (/ -1 (sqrt (- f n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- (sqrt f) (sqrt n))) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ -1 (- f n)) (+ f n)) (* (/ 1 (- f n)) (+ f n)) (* (+ (* f f) (+ (* n n) (* f n))) (+ f n)) (* (+ f n) (+ f n)) (* (/ -1 (- f n)) (+ (pow f 3) (pow n 3))) (* (/ -1 (- f n)) (- (* f f) (* n n))) (* -1 (+ f n)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (- (log -1) (log (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ (* (* -1 -1) -1) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (* (* (/ -1 (- f n)) (/ -1 (- f n))) (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) (- -1) (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (/ (sqrt -1) 1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) (/ 1 1) (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) (/ -1 1) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 1) (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 1.605 * * [simplify]: Extracting # 0 : cost 0 1.605 * * [simplify]: Extracting # 1 : cost 0 1.606 * * [simplify]: Extracting # 2 : cost 0 1.606 * * [simplify]: Extracting # 3 : cost 0 1.606 * * [simplify]: Extracting # 4 : cost 0 1.607 * * [simplify]: Extracting # 5 : cost 0 1.607 * * [simplify]: iteration 0 : 131 enodes (cost 1006 ) 1.654 * * [simplify]: Extracting # 0 : cost 0 1.655 * * [simplify]: Extracting # 1 : cost 0 1.657 * * [simplify]: Extracting # 2 : cost 0 1.658 * * [simplify]: Extracting # 3 : cost 0 1.659 * * [simplify]: Extracting # 4 : cost 0 1.659 * * [simplify]: iteration 1 : 457 enodes (cost 964 ) 1.884 * * [simplify]: Extracting # 0 : cost 0 1.886 * * [simplify]: Extracting # 1 : cost 0 1.888 * * [simplify]: Extracting # 2 : cost 0 1.890 * * [simplify]: Extracting # 3 : cost 0 1.892 * * [simplify]: Extracting # 4 : cost 0 1.894 * * [simplify]: Extracting # 5 : cost 0 1.896 * * [simplify]: iteration 2 : 1745 enodes (cost 867 ) 2.745 * * [simplify]: Extracting # 0 : cost 0 2.751 * * [simplify]: Extracting # 1 : cost 0 2.765 * * [simplify]: Extracting # 2 : cost 0 2.774 * * [simplify]: Extracting # 3 : cost 0 2.780 * * [simplify]: Extracting # 4 : cost 0 2.787 * * [simplify]: iteration done: 5002 enodes (cost 867 ) 2.787 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (/ (- (+ 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) (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))) (- (+ (pow n 3) (pow f 3))) (* (fma f f (* n (- n f))) (- f n)) (- (- (* f f) (* n n))) (* (- f n) (- f n)) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (sqrt (/ -1 (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (* (/ (sqrt -1) (sqrt (- f n))) (sqrt (+ f n))) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- f) (- f n)) (/ (- n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ -1 (- f n)) (/ -1 (- f n)) (* (cbrt (/ -1 (- f n))) (+ f n)) (* (sqrt (/ -1 (- f n))) (+ f n)) (* (/ (cbrt -1) (cbrt (- f n))) (+ f n)) (* (/ (cbrt -1) (sqrt (- f n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (cbrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (cbrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (cbrt (- f n))) (+ f n)) (* (/ (sqrt -1) (sqrt (- f n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (* (/ (sqrt -1) (- (sqrt f) (sqrt n))) (+ f n)) (* (/ (sqrt -1) (- f n)) (+ f n)) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ n f)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)) (/ (+ f n) (- f n)) (* (fma f f (* n (+ f n))) (+ f n)) (* (+ n f) (+ n f)) (/ (- (+ (pow f 3) (pow n 3))) (- f n)) (/ (- (- (* f f) (* n n))) (- f n)) (- (+ n f)) (expm1 (/ -1 (- f n))) (log1p (/ -1 (- f n))) (log (/ -1 (- f n))) (log (/ -1 (- f n))) (exp (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (* (cbrt (/ -1 (- f n))) (cbrt (/ -1 (- f n)))) (cbrt (/ -1 (- f n))) (/ -1 (pow (- f n) 3)) (sqrt (/ -1 (- f n))) (sqrt (/ -1 (- f n))) 1 (- (- f n)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt -1) (cbrt (- f n))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- f n))) (/ (cbrt -1) (sqrt (- f n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt f) (sqrt n))) (/ (cbrt -1) (- (sqrt f) (sqrt n))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt -1) (cbrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (/ (sqrt -1) (sqrt (- f n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (sqrt f) (sqrt n))) (/ (sqrt -1) (- (sqrt f) (sqrt n))) (sqrt -1) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) 1 (/ -1 (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ -1 (- (sqrt f) (sqrt n))) 1 (/ -1 (- f n)) (/ 1 (- f n)) (/ (- f n) -1) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ -1 (sqrt (- f n))) -1 (/ -1 (+ (sqrt f) (sqrt n))) -1 (/ (- f n) (cbrt -1)) (/ (- f n) (sqrt -1)) (/ (- f n) -1) (/ -1 (- (pow f 3) (pow n 3))) (/ -1 (- (* f f) (* n n))) 1 -1 -1 0 0 0 2.788 * * * [progress]: adding candidates to table 3.013 * * [progress]: iteration 3 / 4 3.013 * * * [progress]: picking best candidate 3.019 * * * * [pick]: Picked # 3.019 * * * [progress]: localizing error 3.033 * * * [progress]: generating rewritten candidates 3.033 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.236 * * * [progress]: generating series expansions 3.236 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.236 * [backup-simplify]: Simplify (* (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f))) into (* -1 (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2)))) 3.237 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2)))) in (f n) around 0 3.237 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2)))) in n 3.237 * [taylor]: Taking taylor expansion of -1 in n 3.237 * [backup-simplify]: Simplify -1 into -1 3.237 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2))) in n 3.237 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 3.237 * [taylor]: Taking taylor expansion of (+ n f) in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [taylor]: Taking taylor expansion of f in n 3.237 * [backup-simplify]: Simplify f into f 3.237 * [backup-simplify]: Simplify (+ 0 f) into f 3.237 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 3.237 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.237 * [taylor]: Taking taylor expansion of f in n 3.237 * [backup-simplify]: Simplify f into f 3.237 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.237 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.238 * [backup-simplify]: Simplify (+ (pow f 2) 0) into (pow f 2) 3.238 * [backup-simplify]: Simplify (/ (pow f 2) (pow f 2)) into 1 3.238 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2)))) in f 3.238 * [taylor]: Taking taylor expansion of -1 in f 3.238 * [backup-simplify]: Simplify -1 into -1 3.238 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2))) in f 3.238 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 3.238 * [taylor]: Taking taylor expansion of (+ n f) in f 3.238 * [taylor]: Taking taylor expansion of n in f 3.238 * [backup-simplify]: Simplify n into n 3.238 * [taylor]: Taking taylor expansion of f in f 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [backup-simplify]: Simplify (+ n 0) into n 3.238 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.238 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.238 * [taylor]: Taking taylor expansion of f in f 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.238 * [taylor]: Taking taylor expansion of n in f 3.238 * [backup-simplify]: Simplify n into n 3.238 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.239 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.239 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.239 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.239 * [backup-simplify]: Simplify (/ (pow n 2) (- (pow n 2))) into -1 3.239 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2)))) in f 3.239 * [taylor]: Taking taylor expansion of -1 in f 3.239 * [backup-simplify]: Simplify -1 into -1 3.239 * [taylor]: Taking taylor expansion of (/ (pow (+ n f) 2) (- (pow f 2) (pow n 2))) in f 3.239 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 3.239 * [taylor]: Taking taylor expansion of (+ n f) in f 3.239 * [taylor]: Taking taylor expansion of n in f 3.239 * [backup-simplify]: Simplify n into n 3.239 * [taylor]: Taking taylor expansion of f in f 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (+ n 0) into n 3.239 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.239 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.239 * [taylor]: Taking taylor expansion of f in f 3.239 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.240 * [taylor]: Taking taylor expansion of n in f 3.240 * [backup-simplify]: Simplify n into n 3.240 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.240 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.240 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.240 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.240 * [backup-simplify]: Simplify (/ (pow n 2) (- (pow n 2))) into -1 3.241 * [backup-simplify]: Simplify (* -1 -1) into 1 3.241 * [taylor]: Taking taylor expansion of 1 in n 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify 1 into 1 3.242 * [backup-simplify]: Simplify (+ 0 1) into 1 3.242 * [backup-simplify]: Simplify (+ (* n 1) (* 1 n)) into (* 2 n) 3.242 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.242 * [backup-simplify]: Simplify (- 0) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (- (/ (* 2 n) (- (pow n 2))) (+ (* -1 (/ 0 (- (pow n 2)))))) into (- (* 2 (/ 1 n))) 3.243 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.243 * [taylor]: Taking taylor expansion of 2 in n 3.244 * [backup-simplify]: Simplify 2 into 2 3.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.244 * [taylor]: Taking taylor expansion of n in n 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (/ 1 1) into 1 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 1) (* 0 n))) into 1 3.247 * [backup-simplify]: Simplify (* 1 1) into 1 3.247 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.248 * [backup-simplify]: Simplify (- 0) into 0 3.248 * [backup-simplify]: Simplify (+ 1 0) into 1 3.249 * [backup-simplify]: Simplify (- (/ 1 (- (pow n 2))) (+ (* -1 (/ 1 (- (pow n 2)))) (* (- (* 2 (/ 1 n))) (/ 0 (- (pow n 2)))))) into (- (* 2 (/ 1 (pow n 2)))) 3.249 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.250 * [taylor]: Taking taylor expansion of 2 in n 3.250 * [backup-simplify]: Simplify 2 into 2 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.250 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.250 * [taylor]: Taking taylor expansion of n in n 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.255 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 1 0) (+ (* 0 1) (* 0 n)))) into 0 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.260 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.260 * [backup-simplify]: Simplify (- 0) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (- (/ 0 (- (pow n 2))) (+ (* -1 (/ 0 (- (pow n 2)))) (* (- (* 2 (/ 1 n))) (/ 1 (- (pow n 2)))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 0 (- (pow n 2)))))) into (- (* 2 (/ 1 (pow n 3)))) 3.263 * [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))) 3.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.263 * [taylor]: Taking taylor expansion of 2 in n 3.263 * [backup-simplify]: Simplify 2 into 2 3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.263 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.263 * [taylor]: Taking taylor expansion of n in n 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (/ 1 1) into 1 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (* (/ -1 (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) (* (+ (/ 1 n) (/ 1 f)) (+ (/ 1 n) (/ 1 f)))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) 3.271 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in (f n) around 0 3.271 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in n 3.271 * [taylor]: Taking taylor expansion of -1 in n 3.271 * [backup-simplify]: Simplify -1 into -1 3.271 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in n 3.271 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.271 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.271 * [taylor]: Taking taylor expansion of f in n 3.271 * [backup-simplify]: Simplify f into f 3.271 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.271 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.271 * [taylor]: Taking taylor expansion of n in n 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [backup-simplify]: Simplify (+ 0 1) into 1 3.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.272 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.272 * [taylor]: Taking taylor expansion of f in n 3.272 * [backup-simplify]: Simplify f into f 3.272 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.272 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.272 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.272 * [taylor]: Taking taylor expansion of n in n 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 1 into 1 3.272 * [backup-simplify]: Simplify (* 1 1) into 1 3.272 * [backup-simplify]: Simplify (/ 1 1) into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.273 * [backup-simplify]: Simplify (- 1) into -1 3.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.273 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.273 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in f 3.273 * [taylor]: Taking taylor expansion of -1 in f 3.273 * [backup-simplify]: Simplify -1 into -1 3.273 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.273 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.273 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.273 * [taylor]: Taking taylor expansion of f in f 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.274 * [taylor]: Taking taylor expansion of n in f 3.274 * [backup-simplify]: Simplify n into n 3.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.274 * [backup-simplify]: Simplify (+ 1 0) into 1 3.274 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.274 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.274 * [taylor]: Taking taylor expansion of f in f 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (* 1 1) into 1 3.275 * [backup-simplify]: Simplify (/ 1 1) into 1 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.275 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.275 * [taylor]: Taking taylor expansion of n in f 3.275 * [backup-simplify]: Simplify n into n 3.275 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.275 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.275 * [backup-simplify]: Simplify (* 1 1) into 1 3.275 * [backup-simplify]: Simplify (+ 1 0) into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.276 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in f 3.276 * [taylor]: Taking taylor expansion of -1 in f 3.276 * [backup-simplify]: Simplify -1 into -1 3.276 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.276 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.276 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.276 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.276 * [taylor]: Taking taylor expansion of f in f 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.276 * [backup-simplify]: Simplify (/ 1 1) into 1 3.276 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.276 * [taylor]: Taking taylor expansion of n in f 3.276 * [backup-simplify]: Simplify n into n 3.276 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.276 * [backup-simplify]: Simplify (+ 1 0) into 1 3.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.276 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.276 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.276 * [taylor]: Taking taylor expansion of f in f 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (* 1 1) into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.277 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.277 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.277 * [taylor]: Taking taylor expansion of n in f 3.277 * [backup-simplify]: Simplify n into n 3.277 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.277 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.277 * [backup-simplify]: Simplify (* 1 1) into 1 3.278 * [backup-simplify]: Simplify (+ 1 0) into 1 3.278 * [backup-simplify]: Simplify (/ 1 1) into 1 3.278 * [backup-simplify]: Simplify (* -1 1) into -1 3.278 * [taylor]: Taking taylor expansion of -1 in n 3.278 * [backup-simplify]: Simplify -1 into -1 3.278 * [backup-simplify]: Simplify -1 into -1 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.279 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.280 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 n)) 3.281 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.281 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.281 * [taylor]: Taking taylor expansion of 2 in n 3.281 * [backup-simplify]: Simplify 2 into 2 3.281 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.281 * [taylor]: Taking taylor expansion of n in n 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [backup-simplify]: Simplify (/ 1 1) into 1 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.285 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.285 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.286 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (- (/ 1 (pow n 2))) 1)) (* (* 2 (/ 1 n)) (/ 0 1)))) into (* 2 (/ 1 (pow n 2))) 3.286 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.286 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.286 * [taylor]: Taking taylor expansion of 2 in n 3.286 * [backup-simplify]: Simplify 2 into 2 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.286 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.286 * [taylor]: Taking taylor expansion of n in n 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (* 1 1) into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.292 * [backup-simplify]: Simplify (- 0) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.294 * [backup-simplify]: Simplify (- 0) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 (pow n 2))) 1)) (* (* 2 (/ 1 (pow n 2))) (/ 0 1)))) into (* 2 (/ 1 (pow n 3))) 3.307 * [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)))) 3.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.307 * [taylor]: Taking taylor expansion of 2 in n 3.307 * [backup-simplify]: Simplify 2 into 2 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.307 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.307 * [taylor]: Taking taylor expansion of n in n 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (/ 1 1) into 1 3.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (- 0) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify -1 into -1 3.314 * [backup-simplify]: Simplify (* (/ -1 (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) (* (+ (/ 1 (- n)) (/ 1 (- f))) (+ (/ 1 (- n)) (/ 1 (- f))))) into (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) 3.314 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in (f n) around 0 3.314 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in n 3.314 * [taylor]: Taking taylor expansion of -1 in n 3.314 * [backup-simplify]: Simplify -1 into -1 3.314 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in n 3.314 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.314 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.314 * [taylor]: Taking taylor expansion of f in n 3.314 * [backup-simplify]: Simplify f into f 3.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.314 * [taylor]: Taking taylor expansion of n in n 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (/ 1 1) into 1 3.314 * [backup-simplify]: Simplify (+ 0 1) into 1 3.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.314 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.314 * [taylor]: Taking taylor expansion of f in n 3.314 * [backup-simplify]: Simplify f into f 3.314 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.315 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.315 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.315 * [taylor]: Taking taylor expansion of n in n 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (* 1 1) into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [backup-simplify]: Simplify (* 1 1) into 1 3.316 * [backup-simplify]: Simplify (- 1) into -1 3.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.316 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.316 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in f 3.316 * [taylor]: Taking taylor expansion of -1 in f 3.316 * [backup-simplify]: Simplify -1 into -1 3.316 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.316 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.316 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.317 * [taylor]: Taking taylor expansion of f in f 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (/ 1 1) into 1 3.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.317 * [taylor]: Taking taylor expansion of n in f 3.317 * [backup-simplify]: Simplify n into n 3.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.317 * [backup-simplify]: Simplify (+ 1 0) into 1 3.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.317 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.317 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.317 * [taylor]: Taking taylor expansion of f in f 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [backup-simplify]: Simplify (* 1 1) into 1 3.318 * [backup-simplify]: Simplify (/ 1 1) into 1 3.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.318 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.318 * [taylor]: Taking taylor expansion of n in f 3.318 * [backup-simplify]: Simplify n into n 3.318 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.318 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.318 * [backup-simplify]: Simplify (* 1 1) into 1 3.318 * [backup-simplify]: Simplify (+ 1 0) into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2))))) in f 3.319 * [taylor]: Taking taylor expansion of -1 in f 3.319 * [backup-simplify]: Simplify -1 into -1 3.319 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 f) (/ 1 n)) 2) (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.319 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.319 * [taylor]: Taking taylor expansion of f in f 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (/ 1 1) into 1 3.319 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.319 * [taylor]: Taking taylor expansion of n in f 3.319 * [backup-simplify]: Simplify n into n 3.319 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.319 * [backup-simplify]: Simplify (+ 1 0) into 1 3.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.320 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.320 * [taylor]: Taking taylor expansion of f in f 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (* 1 1) into 1 3.320 * [backup-simplify]: Simplify (/ 1 1) into 1 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.320 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.320 * [taylor]: Taking taylor expansion of n in f 3.320 * [backup-simplify]: Simplify n into n 3.320 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.320 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.321 * [backup-simplify]: Simplify (* 1 1) into 1 3.321 * [backup-simplify]: Simplify (+ 1 0) into 1 3.321 * [backup-simplify]: Simplify (/ 1 1) into 1 3.321 * [backup-simplify]: Simplify (* -1 1) into -1 3.321 * [taylor]: Taking taylor expansion of -1 in n 3.321 * [backup-simplify]: Simplify -1 into -1 3.321 * [backup-simplify]: Simplify -1 into -1 3.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.322 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 n)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 n)) 3.324 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.324 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.324 * [taylor]: Taking taylor expansion of 2 in n 3.324 * [backup-simplify]: Simplify 2 into 2 3.324 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.324 * [taylor]: Taking taylor expansion of n in n 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.325 * [backup-simplify]: Simplify (- 0) into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.326 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) (/ 1 n)) (* 0 1))) into (/ 1 (pow n 2)) 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.328 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.329 * [backup-simplify]: Simplify (- (/ (/ 1 (pow n 2)) 1) (+ (* 1 (/ (- (/ 1 (pow n 2))) 1)) (* (* 2 (/ 1 n)) (/ 0 1)))) into (* 2 (/ 1 (pow n 2))) 3.329 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.329 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.329 * [taylor]: Taking taylor expansion of 2 in n 3.329 * [backup-simplify]: Simplify 2 into 2 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.329 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.329 * [taylor]: Taking taylor expansion of n in n 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (/ 1 1) into 1 3.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.332 * [backup-simplify]: Simplify (- 0) into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.334 * [backup-simplify]: Simplify (- 0) into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.338 * [backup-simplify]: Simplify (- 0) into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 (pow n 2))) 1)) (* (* 2 (/ 1 (pow n 2))) (/ 0 1)))) into (* 2 (/ 1 (pow n 3))) 3.342 * [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)))) 3.342 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.342 * [taylor]: Taking taylor expansion of 2 in n 3.342 * [backup-simplify]: Simplify 2 into 2 3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.342 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.342 * [taylor]: Taking taylor expansion of n in n 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (* 1 1) into 1 3.343 * [backup-simplify]: Simplify (* 1 1) into 1 3.343 * [backup-simplify]: Simplify (/ 1 1) into 1 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (- 0) into 0 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify -1 into -1 3.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.352 * [backup-simplify]: Simplify (- (* f f) (* n n)) into (- (pow f 2) (pow n 2)) 3.353 * [approximate]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in (f n) around 0 3.353 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 3.353 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.353 * [taylor]: Taking taylor expansion of f in n 3.353 * [backup-simplify]: Simplify f into f 3.353 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.353 * [taylor]: Taking taylor expansion of n in n 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.353 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.353 * [taylor]: Taking taylor expansion of f in f 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.353 * [taylor]: Taking taylor expansion of n in f 3.353 * [backup-simplify]: Simplify n into n 3.353 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.353 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.353 * [taylor]: Taking taylor expansion of f in f 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.353 * [taylor]: Taking taylor expansion of n in f 3.353 * [backup-simplify]: Simplify n into n 3.353 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.354 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.354 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.354 * [taylor]: Taking taylor expansion of (- (pow n 2)) in n 3.354 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.354 * [taylor]: Taking taylor expansion of n in n 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.354 * [backup-simplify]: Simplify (- 0) into 0 3.355 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [taylor]: Taking taylor expansion of 0 in n 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.356 * [backup-simplify]: Simplify (- 0) into 0 3.357 * [backup-simplify]: Simplify (+ 1 0) into 1 3.357 * [taylor]: Taking taylor expansion of 1 in n 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify 1 into 1 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (- 1) into -1 3.358 * [backup-simplify]: Simplify -1 into -1 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.359 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 3.360 * [backup-simplify]: Simplify (- 0) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [taylor]: Taking taylor expansion of 0 in n 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.364 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 3.364 * [backup-simplify]: Simplify (- 0) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in n 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* -1 (pow (* n 1) 2)) (* 1 (pow (* 1 f) 2))) into (- (pow f 2) (pow n 2)) 3.366 * [backup-simplify]: Simplify (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.366 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.366 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.366 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.366 * [taylor]: Taking taylor expansion of f in n 3.366 * [backup-simplify]: Simplify f into f 3.366 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.366 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.366 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.366 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.366 * [taylor]: Taking taylor expansion of n in n 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (* 1 1) into 1 3.367 * [backup-simplify]: Simplify (/ 1 1) into 1 3.367 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.367 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.367 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.367 * [taylor]: Taking taylor expansion of f in f 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.368 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.368 * [taylor]: Taking taylor expansion of n in f 3.368 * [backup-simplify]: Simplify n into n 3.368 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.368 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.368 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.368 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.368 * [taylor]: Taking taylor expansion of f in f 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (* 1 1) into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.369 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.369 * [taylor]: Taking taylor expansion of n in f 3.369 * [backup-simplify]: Simplify n into n 3.369 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.370 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.370 * [backup-simplify]: Simplify (+ 1 0) into 1 3.370 * [taylor]: Taking taylor expansion of 1 in n 3.370 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [taylor]: Taking taylor expansion of 0 in n 3.372 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.374 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.374 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.374 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.374 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.374 * [taylor]: Taking taylor expansion of n in n 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (* 1 1) into 1 3.375 * [backup-simplify]: Simplify (/ 1 1) into 1 3.375 * [backup-simplify]: Simplify (- 1) into -1 3.375 * [backup-simplify]: Simplify -1 into -1 3.375 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.378 * [backup-simplify]: Simplify (- 0) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [taylor]: Taking taylor expansion of 0 in n 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [taylor]: Taking taylor expansion of 0 in n 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 f))) 2)) (* -1 (pow (* (/ 1 (/ 1 n)) 1) 2))) into (- (pow f 2) (pow n 2)) 3.388 * [backup-simplify]: Simplify (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n)))) into (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) 3.388 * [approximate]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in (f n) around 0 3.388 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.388 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.388 * [taylor]: Taking taylor expansion of f in n 3.388 * [backup-simplify]: Simplify f into f 3.388 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.389 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.389 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.389 * [taylor]: Taking taylor expansion of n in n 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.390 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.390 * [taylor]: Taking taylor expansion of f in f 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (/ 1 1) into 1 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.391 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.391 * [taylor]: Taking taylor expansion of n in f 3.391 * [backup-simplify]: Simplify n into n 3.391 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.391 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.391 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.391 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.391 * [taylor]: Taking taylor expansion of f in f 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (* 1 1) into 1 3.392 * [backup-simplify]: Simplify (/ 1 1) into 1 3.392 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.392 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.392 * [taylor]: Taking taylor expansion of n in f 3.392 * [backup-simplify]: Simplify n into n 3.392 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.392 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.393 * [backup-simplify]: Simplify (+ 1 0) into 1 3.393 * [taylor]: Taking taylor expansion of 1 in n 3.393 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [taylor]: Taking taylor expansion of 0 in n 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.397 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.397 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.397 * [taylor]: Taking taylor expansion of n in n 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (* 1 1) into 1 3.398 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (- 1) into -1 3.398 * [backup-simplify]: Simplify -1 into -1 3.398 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [taylor]: Taking taylor expansion of 0 in n 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 3.407 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [taylor]: Taking taylor expansion of 0 in n 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify (- 0) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- f)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- n))) 1) 2))) into (- (pow f 2) (pow n 2)) 3.411 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.411 * [backup-simplify]: Simplify (/ -1 (- (* f f) (* n n))) into (/ -1 (- (pow f 2) (pow n 2))) 3.411 * [approximate]: Taking taylor expansion of (/ -1 (- (pow f 2) (pow n 2))) in (f n) around 0 3.411 * [taylor]: Taking taylor expansion of (/ -1 (- (pow f 2) (pow n 2))) in n 3.411 * [taylor]: Taking taylor expansion of -1 in n 3.411 * [backup-simplify]: Simplify -1 into -1 3.411 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in n 3.411 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.411 * [taylor]: Taking taylor expansion of f in n 3.411 * [backup-simplify]: Simplify f into f 3.411 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.411 * [taylor]: Taking taylor expansion of n in n 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.412 * [backup-simplify]: Simplify (+ (pow f 2) 0) into (pow f 2) 3.412 * [backup-simplify]: Simplify (/ -1 (pow f 2)) into (/ -1 (pow f 2)) 3.412 * [taylor]: Taking taylor expansion of (/ -1 (- (pow f 2) (pow n 2))) in f 3.412 * [taylor]: Taking taylor expansion of -1 in f 3.412 * [backup-simplify]: Simplify -1 into -1 3.412 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.412 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.412 * [taylor]: Taking taylor expansion of f in f 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.412 * [taylor]: Taking taylor expansion of n in f 3.412 * [backup-simplify]: Simplify n into n 3.412 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.412 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.412 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.413 * [backup-simplify]: Simplify (/ -1 (- (pow n 2))) into (/ 1 (pow n 2)) 3.413 * [taylor]: Taking taylor expansion of (/ -1 (- (pow f 2) (pow n 2))) in f 3.413 * [taylor]: Taking taylor expansion of -1 in f 3.413 * [backup-simplify]: Simplify -1 into -1 3.413 * [taylor]: Taking taylor expansion of (- (pow f 2) (pow n 2)) in f 3.413 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.413 * [taylor]: Taking taylor expansion of f in f 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.413 * [taylor]: Taking taylor expansion of n in f 3.413 * [backup-simplify]: Simplify n into n 3.413 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.413 * [backup-simplify]: Simplify (- (pow n 2)) into (- (pow n 2)) 3.413 * [backup-simplify]: Simplify (+ 0 (- (pow n 2))) into (- (pow n 2)) 3.414 * [backup-simplify]: Simplify (/ -1 (- (pow n 2))) into (/ 1 (pow n 2)) 3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.414 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.414 * [taylor]: Taking taylor expansion of n in n 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (* 1 1) into 1 3.415 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 (- (pow n 2))) (+ (* (/ 1 (pow n 2)) (/ 0 (- (pow n 2)))))) into 0 3.420 * [taylor]: Taking taylor expansion of 0 in n 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (* 1 1) into 1 3.422 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.422 * [backup-simplify]: Simplify (+ 1 0) into 1 3.422 * [backup-simplify]: Simplify (- (/ 0 (- (pow n 2))) (+ (* (/ 1 (pow n 2)) (/ 1 (- (pow n 2)))) (* 0 (/ 0 (- (pow n 2)))))) into (/ 1 (pow n 4)) 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 4)) in n 3.423 * [taylor]: Taking taylor expansion of (pow n 4) in n 3.423 * [taylor]: Taking taylor expansion of n in n 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (* 1 1) into 1 3.423 * [backup-simplify]: Simplify (* 1 1) into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (/ -1 (- (* (/ 1 f) (/ 1 f)) (* (/ 1 n) (/ 1 n)))) into (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) 3.434 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in (f n) around 0 3.434 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in n 3.434 * [taylor]: Taking taylor expansion of -1 in n 3.434 * [backup-simplify]: Simplify -1 into -1 3.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.434 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.434 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.434 * [taylor]: Taking taylor expansion of f in n 3.434 * [backup-simplify]: Simplify f into f 3.434 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.434 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.434 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.434 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.434 * [taylor]: Taking taylor expansion of n in n 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (* 1 1) into 1 3.435 * [backup-simplify]: Simplify (/ 1 1) into 1 3.435 * [backup-simplify]: Simplify (- 1) into -1 3.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.436 * [backup-simplify]: Simplify (/ -1 -1) into 1 3.436 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.436 * [taylor]: Taking taylor expansion of -1 in f 3.436 * [backup-simplify]: Simplify -1 into -1 3.436 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.436 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.436 * [taylor]: Taking taylor expansion of f in f 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (* 1 1) into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.436 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.436 * [taylor]: Taking taylor expansion of n in f 3.436 * [backup-simplify]: Simplify n into n 3.436 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.436 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.437 * [backup-simplify]: Simplify (+ 1 0) into 1 3.437 * [backup-simplify]: Simplify (/ -1 1) into -1 3.437 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.437 * [taylor]: Taking taylor expansion of -1 in f 3.437 * [backup-simplify]: Simplify -1 into -1 3.437 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.437 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.437 * [taylor]: Taking taylor expansion of f in f 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.438 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.438 * [taylor]: Taking taylor expansion of n in f 3.438 * [backup-simplify]: Simplify n into n 3.438 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.438 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.438 * [backup-simplify]: Simplify (+ 1 0) into 1 3.438 * [backup-simplify]: Simplify (/ -1 1) into -1 3.438 * [taylor]: Taking taylor expansion of -1 in n 3.438 * [backup-simplify]: Simplify -1 into -1 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.440 * [taylor]: Taking taylor expansion of 0 in n 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.441 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 (pow n 2))) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow n 2))) 3.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.442 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.442 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.442 * [taylor]: Taking taylor expansion of n in n 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (* 1 1) into 1 3.443 * [backup-simplify]: Simplify (/ 1 1) into 1 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (- 0) into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (/ -1 (- (* (/ 1 (- f)) (/ 1 (- f))) (* (/ 1 (- n)) (/ 1 (- n))))) into (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) 3.448 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in (f n) around 0 3.448 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in n 3.448 * [taylor]: Taking taylor expansion of -1 in n 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in n 3.448 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in n 3.448 * [taylor]: Taking taylor expansion of (pow f 2) in n 3.448 * [taylor]: Taking taylor expansion of f in n 3.448 * [backup-simplify]: Simplify f into f 3.448 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.448 * [backup-simplify]: Simplify (/ 1 (pow f 2)) into (/ 1 (pow f 2)) 3.448 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.448 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.448 * [taylor]: Taking taylor expansion of n in n 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (* 1 1) into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [backup-simplify]: Simplify (- 1) into -1 3.449 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.450 * [backup-simplify]: Simplify (/ -1 -1) into 1 3.450 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.450 * [taylor]: Taking taylor expansion of -1 in f 3.450 * [backup-simplify]: Simplify -1 into -1 3.450 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.450 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.450 * [taylor]: Taking taylor expansion of f in f 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.450 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.450 * [taylor]: Taking taylor expansion of n in f 3.450 * [backup-simplify]: Simplify n into n 3.450 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.450 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.451 * [backup-simplify]: Simplify (+ 1 0) into 1 3.451 * [backup-simplify]: Simplify (/ -1 1) into -1 3.451 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow f 2)) (/ 1 (pow n 2)))) in f 3.451 * [taylor]: Taking taylor expansion of -1 in f 3.451 * [backup-simplify]: Simplify -1 into -1 3.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2)) (/ 1 (pow n 2))) in f 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.451 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.451 * [taylor]: Taking taylor expansion of f in f 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (* 1 1) into 1 3.452 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in f 3.452 * [taylor]: Taking taylor expansion of (pow n 2) in f 3.452 * [taylor]: Taking taylor expansion of n in f 3.452 * [backup-simplify]: Simplify n into n 3.452 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.453 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 3.453 * [backup-simplify]: Simplify (+ 1 0) into 1 3.454 * [backup-simplify]: Simplify (/ -1 1) into -1 3.454 * [taylor]: Taking taylor expansion of -1 in n 3.454 * [backup-simplify]: Simplify -1 into -1 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.456 * [backup-simplify]: Simplify (+ 0 0) into 0 3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.457 * [taylor]: Taking taylor expansion of 0 in n 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 3.459 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow n 2)))) into (- (/ 1 (pow n 2))) 3.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (/ 1 (pow n 2))) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow n 2))) 3.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.460 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.460 * [taylor]: Taking taylor expansion of n in n 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 1 into 1 3.461 * [backup-simplify]: Simplify (* 1 1) into 1 3.461 * [backup-simplify]: Simplify (/ 1 1) into 1 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (- 0) into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify 0 into 0 3.470 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.470 * [backup-simplify]: Simplify (* (+ n f) (+ n f)) into (pow (+ n f) 2) 3.471 * [approximate]: Taking taylor expansion of (pow (+ n f) 2) in (n f) around 0 3.471 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in f 3.471 * [taylor]: Taking taylor expansion of (+ n f) in f 3.471 * [taylor]: Taking taylor expansion of n in f 3.471 * [backup-simplify]: Simplify n into n 3.471 * [taylor]: Taking taylor expansion of f in f 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [backup-simplify]: Simplify (+ n 0) into n 3.471 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 3.471 * [taylor]: Taking taylor expansion of (+ n f) in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [taylor]: Taking taylor expansion of f in n 3.471 * [backup-simplify]: Simplify f into f 3.471 * [backup-simplify]: Simplify (+ 0 f) into f 3.471 * [taylor]: Taking taylor expansion of (pow (+ n f) 2) in n 3.471 * [taylor]: Taking taylor expansion of (+ n f) in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.471 * [taylor]: Taking taylor expansion of f in n 3.471 * [backup-simplify]: Simplify f into f 3.471 * [backup-simplify]: Simplify (+ 0 f) into f 3.471 * [backup-simplify]: Simplify (* f f) into (pow f 2) 3.471 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.472 * [taylor]: Taking taylor expansion of f in f 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (+ 1 0) into 1 3.472 * [backup-simplify]: Simplify (+ (* f 1) (* 1 f)) into (* 2 f) 3.472 * [taylor]: Taking taylor expansion of (* 2 f) in f 3.472 * [taylor]: Taking taylor expansion of 2 in f 3.472 * [backup-simplify]: Simplify 2 into 2 3.472 * [taylor]: Taking taylor expansion of f in f 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (* 2 0) into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify (+ 0 0) into 0 3.474 * [backup-simplify]: Simplify (+ (* f 0) (+ (* 1 1) (* 0 f))) into 1 3.474 * [taylor]: Taking taylor expansion of 1 in f 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.475 * [backup-simplify]: Simplify 2 into 2 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (+ (* 1 (pow (* f 1) 2)) (+ (* 2 (* f n)) (* 1 (pow (* 1 n) 2)))) into (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2))) 3.476 * [backup-simplify]: Simplify (* (+ (/ 1 n) (/ 1 f)) (+ (/ 1 n) (/ 1 f))) into (pow (+ (/ 1 f) (/ 1 n)) 2) 3.476 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in (n f) around 0 3.476 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.476 * [taylor]: Taking taylor expansion of f in f 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (/ 1 1) into 1 3.477 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.477 * [taylor]: Taking taylor expansion of n in f 3.477 * [backup-simplify]: Simplify n into n 3.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.477 * [backup-simplify]: Simplify (+ 1 0) into 1 3.477 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.478 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.478 * [taylor]: Taking taylor expansion of f in n 3.478 * [backup-simplify]: Simplify f into f 3.478 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.478 * [taylor]: Taking taylor expansion of n in n 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [backup-simplify]: Simplify (/ 1 1) into 1 3.479 * [backup-simplify]: Simplify (+ 0 1) into 1 3.479 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.479 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.479 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.479 * [taylor]: Taking taylor expansion of f in n 3.479 * [backup-simplify]: Simplify f into f 3.479 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.479 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.479 * [taylor]: Taking taylor expansion of n in n 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [backup-simplify]: Simplify (+ 0 1) into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [taylor]: Taking taylor expansion of 1 in f 3.480 * [backup-simplify]: Simplify 1 into 1 3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.481 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 3.481 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.482 * [taylor]: Taking taylor expansion of 2 in f 3.482 * [backup-simplify]: Simplify 2 into 2 3.482 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.482 * [taylor]: Taking taylor expansion of f in f 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 1 into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ 0 0) into 0 3.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.485 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.485 * [taylor]: Taking taylor expansion of f in f 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (* 1 1) into 1 3.486 * [backup-simplify]: Simplify (/ 1 1) into 1 3.486 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (* 2 1) into 2 3.486 * [backup-simplify]: Simplify 2 into 2 3.486 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 n))) 2)) (+ (* 2 (* (/ 1 (/ 1 f)) (/ 1 (/ 1 n)))) (* 1 (pow (* (/ 1 (/ 1 f)) 1) 2)))) into (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2))) 3.487 * [backup-simplify]: Simplify (* (+ (/ 1 (- n)) (/ 1 (- f))) (+ (/ 1 (- n)) (/ 1 (- f)))) into (pow (+ (/ 1 f) (/ 1 n)) 2) 3.487 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in (n f) around 0 3.488 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in f 3.488 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.488 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.488 * [taylor]: Taking taylor expansion of f in f 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [backup-simplify]: Simplify (/ 1 1) into 1 3.488 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.488 * [taylor]: Taking taylor expansion of n in f 3.488 * [backup-simplify]: Simplify n into n 3.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.489 * [backup-simplify]: Simplify (+ 1 0) into 1 3.489 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.489 * [taylor]: Taking taylor expansion of f in n 3.489 * [backup-simplify]: Simplify f into f 3.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.489 * [taylor]: Taking taylor expansion of n in n 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [backup-simplify]: Simplify (+ 0 1) into 1 3.490 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 2) in n 3.490 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.490 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.490 * [taylor]: Taking taylor expansion of f in n 3.490 * [backup-simplify]: Simplify f into f 3.490 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.490 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.490 * [taylor]: Taking taylor expansion of n in n 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.491 * [backup-simplify]: Simplify (+ 0 1) into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [taylor]: Taking taylor expansion of 1 in f 3.492 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 3.493 * [backup-simplify]: Simplify (+ (* 1 (/ 1 f)) (* (/ 1 f) 1)) into (* 2 (/ 1 f)) 3.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 f)) in f 3.493 * [taylor]: Taking taylor expansion of 2 in f 3.493 * [backup-simplify]: Simplify 2 into 2 3.493 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.493 * [taylor]: Taking taylor expansion of f in f 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.494 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) (/ 1 f)) (* 0 1))) into (/ 1 (pow f 2)) 3.496 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 3.497 * [taylor]: Taking taylor expansion of (pow f 2) in f 3.497 * [taylor]: Taking taylor expansion of f in f 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (* 1 1) into 1 3.497 * [backup-simplify]: Simplify (/ 1 1) into 1 3.497 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (* 2 1) into 2 3.498 * [backup-simplify]: Simplify 2 into 2 3.498 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- n)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- f))) (/ 1 (/ 1 (- n))))) (* 1 (pow (* (/ 1 (/ 1 (- f))) 1) 2)))) into (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2))) 3.499 * * * [progress]: simplifying candidates 3.503 * [simplify]: Simplifying: (expm1 (* (/ -1 (- (* f f) (* n n))) (* (+ n f) (+ n f)))) (log1p (* (/ -1 (- 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-1) (cbrt -1)) (sqrt (- (* f f) (* n n)))) (/ (cbrt -1) (sqrt (- (* f f) (* n n)))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (* f f) (* n n))) (/ (* (cbrt -1) (cbrt -1)) (+ f n)) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ (sqrt -1) (cbrt (- (* f f) (* n n)))) (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (/ (sqrt -1) 1) (/ (sqrt -1) (- (* f f) (* n n))) (/ (sqrt -1) (+ f n)) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ -1 (cbrt (- (* f f) (* n n)))) (/ 1 (sqrt (- (* f f) (* n n)))) (/ -1 (sqrt (- (* f f) (* n n)))) (/ 1 1) (/ -1 (- (* f f) (* n n))) (/ 1 (+ f n)) (/ -1 (- f n)) (/ 1 (- (* f f) (* n n))) (/ (- (* f f) (* n n)) -1) (/ -1 (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ -1 (sqrt (- (* f f) (* n n)))) (/ -1 1) (/ -1 (+ f n)) (/ (- (* f f) (* n n)) (cbrt -1)) (/ (- (* f f) (* n n)) (sqrt -1)) (/ (- (* f f) (* n n)) -1) (/ -1 (- (pow (* f f) 3) (pow (* n n) 3))) (/ -1 (- (* (* f f) (* f f)) (* (* n n) (* n n)))) (expm1 (* (+ n f) (+ n f))) (log1p (* (+ n f) (+ n f))) (+ 1 1) (* (+ n f) (+ n f)) (+ 1 1) (+ (log (+ n f)) (log (+ n f))) (log (* (+ n f) (+ n f))) (exp (* (+ n f) (+ n f))) (* (* (* (+ n f) (+ n f)) (+ n f)) (* (* (+ n f) (+ n f)) (+ n f))) (* (cbrt (* (+ n f) (+ n f))) (cbrt (* (+ n f) (+ n f)))) (cbrt (* (+ n f) (+ n f))) (* (* (* (+ n f) (+ n f)) (* (+ n f) (+ n f))) (* (+ n f) (+ n f))) (sqrt (* (+ n f) (+ n f))) (sqrt (* (+ n f) (+ n f))) (* (+ (pow n 3) (pow f 3)) (+ (pow n 3) (pow f 3))) (* (+ (* n n) (- (* f f) (* n f))) (+ (* n n) (- (* f f) (* n f)))) (* (+ (pow n 3) (pow f 3)) (- (* n n) (* f f))) (* (+ (* n n) (- (* f f) (* n f))) (- n f)) (* (- (* n n) (* f f)) (+ (pow n 3) (pow f 3))) (* (- n f) (+ (* n n) (- (* f f) (* n f)))) (* (- (* n n) (* f f)) (- (* n n) (* f f))) (* (- n f) (- n f)) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (cbrt (+ n f)) (cbrt (+ n f))) (* (sqrt (+ n f)) (sqrt (+ n f))) (* (sqrt (+ n f)) (sqrt (+ n f))) (* 1 1) (* (+ n f) (+ n f)) (* 1 1) (* (+ n f) (+ n f)) (* 1 1) (* (+ n f) (+ n f)) (* 1 1) (* (+ n f) (+ n f)) (* (sqrt (+ n f)) (sqrt (+ n f))) (* (sqrt (+ n f)) (sqrt (+ n f))) (* 2 1) (* (+ n f) n) (* (+ n f) f) (* n (+ n f)) (* f (+ n f)) (* (+ n f) (* (cbrt (+ n f)) (cbrt (+ n f)))) (* (+ n f) (sqrt (+ n f))) (* (+ n f) 1) (* (+ n f) 1) (* (cbrt (+ n f)) (+ n f)) (* (sqrt (+ n f)) (+ n f)) (* (+ n f) (+ n f)) (* (+ n f) (+ n f)) (* (+ n f) (+ (pow n 3) (pow f 3))) (* (+ n f) (- (* n n) (* f f))) (* (+ (pow n 3) (pow f 3)) (+ n f)) (* (- (* n n) (* f f)) (+ n f)) 1 -1 -1 (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) (- (pow f 2) (pow n 2)) 0 0 0 (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2))) (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2))) (+ (pow f 2) (+ (* 2 (* n f)) (pow n 2))) 3.509 * * [simplify]: Extracting # 0 : cost 0 3.509 * * [simplify]: Extracting # 1 : cost 0 3.509 * * [simplify]: Extracting # 2 : cost 0 3.510 * * [simplify]: Extracting # 3 : cost 0 3.510 * * [simplify]: Extracting # 4 : cost 0 3.510 * * [simplify]: Extracting # 5 : cost 0 3.510 * * [simplify]: Extracting # 6 : cost 0 3.511 * * [simplify]: Extracting # 7 : cost 0 3.511 * * [simplify]: iteration 0 : 215 enodes (cost 2797 ) 3.597 * * [simplify]: Extracting # 0 : cost 0 3.598 * * [simplify]: Extracting # 1 : cost 0 3.599 * * [simplify]: Extracting # 2 : cost 0 3.600 * * [simplify]: Extracting # 3 : cost 0 3.601 * * [simplify]: Extracting # 4 : cost 0 3.602 * * [simplify]: iteration 1 : 744 enodes (cost 2652 ) 4.027 * * [simplify]: Extracting # 0 : cost 0 4.034 * * [simplify]: Extracting # 1 : cost 0 4.044 * * [simplify]: Extracting # 2 : cost 0 4.066 * * [simplify]: Extracting # 3 : cost 0 4.080 * * [simplify]: Extracting # 4 : cost 0 4.094 * * [simplify]: iteration done: 5000 enodes (cost 2352 ) 4.096 * [simplify]: Simplified to: (expm1 (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (log1p (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) (fma 2 (log (+ n f)) (log (/ -1 (- (* f f) (* n n))))) (fma 2 (log (+ n f)) (log (/ -1 (- (* f f) (* n n))))) (fma 2 (log (+ n f)) (log (/ -1 (- (* f f) (* n n))))) (fma 2 (log (+ n f)) (log (/ -1 (- (* f f) (* n n))))) (fma 2 (log (+ n f)) (log (/ -1 (- (* f f) (* n n))))) (exp (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (/ (- (pow (* (+ f n) (+ f n)) 3)) (pow (- (* f f) (* n n)) 3)) (/ (- (pow (* (+ f n) (+ f n)) 3)) (pow (- (* f f) (* n n)) 3)) (* (pow (* (+ f n) (+ f n)) 3) (pow (/ -1 (- (* f f) (* n n))) 3)) (* (pow (* (+ f n) (+ f n)) 3) (pow (/ -1 (- (* f f) (* n n))) 3)) (* (cbrt (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (cbrt (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))))) (cbrt (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (pow (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) 3) (sqrt (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (sqrt (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n)))) (- (* (+ (pow n 3) (pow f 3)) (+ (pow n 3) (pow f 3)))) (* (* (fma f f (- (* n n))) (fma n n (* f (- f n)))) (fma n n (* f (- f n)))) (- (* (+ (pow n 3) (pow f 3)) (- (* n n) (* f f)))) (* (* (fma n n (* f (- f n))) (- n f)) (fma f f (- (* n n)))) (- (* (+ (pow n 3) (pow f 3)) (- (* n n) (* f f)))) (* (* (fma n n (* f (- f n))) (- n f)) (fma f f (- (* n n)))) (* (- (- (* n n) (* f f))) (- (* n n) (* f f))) (* (- (* f f) (* n n)) (* (- n f) (- n f))) (- (* (+ (pow n 3) (pow f 3)) (+ n f))) (* (fma f f (- (* n n))) (fma n n (* f (- f n)))) (* (- (+ f n)) (- (* n n) (* f f))) (* (- (* f f) (* n n)) (- n f)) (- (* (+ (pow n 3) (pow f 3)) (+ n f))) (* (fma f f (- (* n n))) (fma n n (* f (- f n)))) (* (- (+ f n)) (- (* n n) (* f f))) (* (- (* f f) (* n n)) (- n f)) (* (sqrt (/ -1 (- (* f f) (* n n)))) (+ f n)) (* (sqrt (/ -1 (- (* f f) (* n n)))) (+ f n)) (* (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (+ f n)) (* (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (+ f n)) (* (/ (- (+ f n)) (- (* f f) (* n n))) n) (/ (- (* f (+ n f))) (- (* f f) (* n n))) (/ (- (* n (+ n f))) (- (* f f) (* n n))) (/ (- (* f (+ n f))) (- (* f f) (* n n))) (* (/ (- (+ f n)) (- (* f f) (* n n))) n) (/ (- (* f (+ n f))) (- (* f f) (* n n))) (/ (- (* n (+ n f))) (- (* f f) (* n n))) (/ (- (* f (+ n f))) (- (* f f) (* n n))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (cbrt (/ -1 (- (* f f) (* n n)))) (* (+ n f) (+ n f))) (* (sqrt (/ -1 (- (* f f) (* n n)))) (* (+ n f) (+ n f))) (* (/ (cbrt -1) (cbrt (- (* f f) (* n n)))) (* (+ n f) (+ n f))) (* (/ (cbrt -1) (sqrt (- (* f f) (* n n)))) (* (+ n f) (+ n f))) (* (/ (cbrt -1) (- (* f f) (* n n))) (* (+ n f) (+ n f))) (* (/ (cbrt -1) (- f n)) (* (+ n f) (+ n f))) (* (/ (sqrt -1) (cbrt (- (* f f) (* n n)))) (* (+ n f) (+ n f))) (* (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (* (+ n f) (+ n f))) (* (/ (sqrt -1) (- (* f f) (* n n))) (* (+ n f) (+ n f))) (* (/ (sqrt -1) (- f n)) (* (+ n f) (+ n f))) (/ (- (* (+ n f) (+ n f))) (cbrt (- (* f f) (* n n)))) (/ (- (* (+ n f) (+ n f))) (sqrt (- (* f f) (* n n)))) (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) (/ (- (* (+ n f) (+ n f))) (- f n)) (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) (/ (* (+ f n) (+ f n)) (- (* f f) (* n n))) (* (fma (* n n) (fma n n (* f f)) (* (pow f 3) f)) (* (+ f n) (+ f n))) (* (fma f f (* n n)) (* (+ n f) (+ n f))) (/ (- (* (+ (pow n 3) (pow f 3)) (+ (pow n 3) (pow f 3)))) (- (* f f) (* n n))) (* (/ (- (* (+ (pow n 3) (pow f 3)) (+ n f))) (- (* f f) (* n n))) (- n f)) (* (/ (- (* (+ (pow n 3) (pow f 3)) (+ n f))) (- (* f f) (* n n))) (- n f)) (/ (- (* (- (* n n) (* f f)) (- (* n n) (* f f)))) (- (* f f) (* n n))) (/ (- (* (+ (pow n 3) (pow f 3)) (+ n f))) (- (* f f) (* n n))) (* (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) (- n f)) (/ (- (* (+ (pow n 3) (pow f 3)) (+ n f))) (- (* f f) (* n n))) (* (/ (- (* (+ f n) (+ f n))) (- (* f f) (* n n))) (- n f)) (- (* (+ f n) (+ f n))) (- (* f f) (* n n)) (* n (+ (- n) n)) (expm1 (- (* f f) (* n n))) (log1p (- (* f f) (* n n))) (- (* n n)) (exp (- (* f f) (* n n))) (log (- (* f f) (* n n))) (exp (- (* f f) (* n n))) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n)))) (cbrt (- (* f f) (* n n))) (pow (- (* f f) (* n n)) 3) (sqrt (- (* f f) (* n n))) (sqrt (- (* f f) (* n n))) (- (pow (* f f) 3) (pow (* n n) 3)) (fma (* n n) (fma n n (* f f)) (* (pow f 3) f)) (- (* n n)) (fma (pow f 3) f (- (* (pow n 3) n))) (fma n n (* f f)) (+ f n) (- f n) (- (* n n)) (expm1 (/ -1 (- (* f f) (* n n)))) (log1p (/ -1 (- (* f f) (* n n)))) (log (/ -1 (- (* f f) (* n n)))) (log (/ -1 (- (* f f) (* n n)))) (exp (/ -1 (- (* f f) (* n n)))) (/ -1 (pow (- (* f f) (* n n)) 3)) (* (cbrt (/ -1 (- (* f f) (* n n)))) (cbrt (/ -1 (- (* f f) (* n n))))) (cbrt (/ -1 (- (* f f) (* n n)))) (pow (/ -1 (- (* f f) (* n n))) 3) (sqrt (/ -1 (- (* f f) (* n n)))) (sqrt (/ -1 (- (* f f) (* n n)))) 1 (- (- (* f f) (* n n))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ (cbrt -1) (cbrt (- (* f f) (* n n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (* f f) (* n n)))) (/ (cbrt -1) (sqrt (- (* f f) (* n n)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (* f f) (* n n))) (/ (* (cbrt -1) (cbrt -1)) (+ f n)) (/ (cbrt -1) (- f n)) (/ (sqrt -1) (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ (sqrt -1) (cbrt (- (* f f) (* n n)))) (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (/ (sqrt -1) (sqrt (- (* f f) (* n n)))) (sqrt -1) (/ (sqrt -1) (- (* f f) (* n n))) (/ (sqrt -1) (+ f n)) (/ (sqrt -1) (- f n)) (/ 1 (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ -1 (cbrt (- (* f f) (* n n)))) (/ 1 (sqrt (- (* f f) (* n n)))) (/ -1 (sqrt (- (* f f) (* n n)))) 1 (/ -1 (- (* f f) (* n n))) (/ 1 (+ f n)) (/ -1 (- f n)) (/ 1 (- (* f f) (* n n))) (/ (- (* f f) (* n n)) -1) (/ -1 (* (cbrt (- (* f f) (* n n))) (cbrt (- (* f f) (* n n))))) (/ -1 (sqrt (- (* f f) (* n n)))) -1 (/ -1 (+ f n)) (/ (- (* f f) (* n n)) (cbrt -1)) (/ (- (* f f) (* n n)) (sqrt -1)) (/ (- (* f f) (* n n)) -1) (/ -1 (- (pow (* f f) 3) (pow (* n n) 3))) (/ -1 (fma (pow f 3) f (- (* (pow n 3) n)))) (expm1 (* (+ n f) (+ n f))) (log1p (* (+ n f) (+ n f))) 2 (* (+ f n) (+ f n)) 2 (* 2 (log (+ n f))) (* 2 (log (+ n f))) (exp (* (+ n f) (+ n f))) (pow (* (+ f n) (+ f n)) 3) (* (cbrt (* (+ n f) (+ n f))) (cbrt (* (+ n f) (+ n f)))) (cbrt (* (+ n f) (+ n f))) (pow (* (+ f n) (+ f n)) 3) (fabs (+ f n)) (fabs (+ f n)) (* (+ (pow n 3) (pow f 3)) (+ (pow n 3) (pow f 3))) (* (fma n n (* f (- f n))) (fma n n (* f (- f n)))) (* (+ (pow n 3) (pow f 3)) (- (* n n) (* f f))) (* (fma n n (* f (- f n))) (- n f)) (* (+ (pow n 3) (pow f 3)) (- (* n n) (* f f))) (* (fma n n (* f (- f n))) (- n f)) (* (- (* n n) (* f f)) (- (* n n) (* f f))) (* (- n f) (- n f)) (* (cbrt (+ n f)) (pow (cbrt (+ n f)) 3)) (* (cbrt (+ n f)) (cbrt (+ n f))) (+ f n) (+ f n) 1 (* (+ f n) (+ f n)) 1 (* (+ f n) (+ f n)) 1 (* (+ f n) (+ f n)) 1 (* (+ f n) (+ f n)) (+ f n) (+ f n) 2 (* (+ n f) n) (* (+ n f) f) (* n (+ n f)) (* f (+ n f)) (* (+ n f) (* (cbrt (+ n f)) (cbrt (+ n f)))) (pow (sqrt (+ n f)) 3) (+ f n) (+ f n) (* (cbrt (+ n f)) (+ n f)) (pow (sqrt (+ n f)) 3) (* (+ f n) (+ f n)) (* (+ f n) (+ f n)) (* (+ n f) (+ (pow n 3) (pow f 3))) (* (- (* n n) (* f f)) (+ n f)) (* (+ n f) (+ (pow n 3) (pow f 3))) (* (- (* n n) (* f f)) (+ n f)) 1 -1 -1 (- (* f f) (* n n)) (- (* f f) (* n n)) (- (* f f) (* n n)) 0 0 0 (fma f f (fma 2 (* n f) (* n n))) (fma f f (fma 2 (* n f) (* n n))) (fma f f (fma 2 (* n f) (* n n))) 4.098 * * * [progress]: adding candidates to table 4.631 * * [progress]: iteration 4 / 4 4.631 * * * [progress]: picking best candidate 4.632 * * * * [pick]: Picked # 4.632 * * * [progress]: localizing error 4.647 * * * [progress]: generating rewritten candidates 4.647 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.686 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.731 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.049 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.172 * * * [progress]: generating series expansions 5.172 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.172 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.172 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.172 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.172 * [taylor]: Taking taylor expansion of -1 in n 5.172 * [backup-simplify]: Simplify -1 into -1 5.172 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.172 * [taylor]: Taking taylor expansion of (+ n f) in n 5.172 * [taylor]: Taking taylor expansion of n in n 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [taylor]: Taking taylor expansion of f in n 5.172 * [backup-simplify]: Simplify f into f 5.173 * [taylor]: Taking taylor expansion of (- f n) in n 5.173 * [taylor]: Taking taylor expansion of f in n 5.173 * [backup-simplify]: Simplify f into f 5.173 * [taylor]: Taking taylor expansion of n in n 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (+ 0 f) into f 5.173 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ f 0) into f 5.174 * [backup-simplify]: Simplify (/ f f) into 1 5.174 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.174 * [taylor]: Taking taylor expansion of -1 in f 5.174 * [backup-simplify]: Simplify -1 into -1 5.174 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.174 * [taylor]: Taking taylor expansion of (+ n f) in f 5.174 * [taylor]: Taking taylor expansion of n in f 5.174 * [backup-simplify]: Simplify n into n 5.174 * [taylor]: Taking taylor expansion of f in f 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [taylor]: Taking taylor expansion of (- f n) in f 5.174 * [taylor]: Taking taylor expansion of f in f 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [taylor]: Taking taylor expansion of n in f 5.174 * [backup-simplify]: Simplify n into n 5.174 * [backup-simplify]: Simplify (+ n 0) into n 5.174 * [backup-simplify]: Simplify (- n) into (- n) 5.174 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.174 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.174 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.174 * [taylor]: Taking taylor expansion of -1 in f 5.174 * [backup-simplify]: Simplify -1 into -1 5.174 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.174 * [taylor]: Taking taylor expansion of (+ n f) in f 5.174 * [taylor]: Taking taylor expansion of n in f 5.174 * [backup-simplify]: Simplify n into n 5.174 * [taylor]: Taking taylor expansion of f in f 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [taylor]: Taking taylor expansion of (- f n) in f 5.175 * [taylor]: Taking taylor expansion of f in f 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [taylor]: Taking taylor expansion of n in f 5.175 * [backup-simplify]: Simplify n into n 5.175 * [backup-simplify]: Simplify (+ n 0) into n 5.175 * [backup-simplify]: Simplify (- n) into (- n) 5.175 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.175 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.176 * [backup-simplify]: Simplify (* -1 -1) into 1 5.176 * [taylor]: Taking taylor expansion of 1 in n 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (+ 0 1) into 1 5.177 * [backup-simplify]: Simplify (- 0) into 0 5.177 * [backup-simplify]: Simplify (+ 1 0) into 1 5.177 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.178 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.178 * [taylor]: Taking taylor expansion of 2 in n 5.178 * [backup-simplify]: Simplify 2 into 2 5.178 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.178 * [taylor]: Taking taylor expansion of n in n 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify (+ 0 0) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify (+ 0 0) into 0 5.182 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.183 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.183 * [taylor]: Taking taylor expansion of 2 in n 5.183 * [backup-simplify]: Simplify 2 into 2 5.183 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.183 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.183 * [taylor]: Taking taylor expansion of n in n 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (* 1 1) into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.200 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (- 0) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.205 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.205 * [taylor]: Taking taylor expansion of 2 in n 5.205 * [backup-simplify]: Simplify 2 into 2 5.205 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.205 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.205 * [taylor]: Taking taylor expansion of n in n 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (* 1 1) into 1 5.206 * [backup-simplify]: Simplify (* 1 1) into 1 5.206 * [backup-simplify]: Simplify (/ 1 1) into 1 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 1 into 1 5.216 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.216 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.216 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.216 * [taylor]: Taking taylor expansion of -1 in n 5.216 * [backup-simplify]: Simplify -1 into -1 5.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.216 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.216 * [taylor]: Taking taylor expansion of f in n 5.216 * [backup-simplify]: Simplify f into f 5.216 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.216 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.216 * [taylor]: Taking taylor expansion of n in n 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.216 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.217 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.217 * [taylor]: Taking taylor expansion of f in n 5.217 * [backup-simplify]: Simplify f into f 5.217 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.217 * [taylor]: Taking taylor expansion of n in n 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.218 * [backup-simplify]: Simplify (+ 0 1) into 1 5.218 * [backup-simplify]: Simplify (- 1) into -1 5.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.219 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.219 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.219 * [taylor]: Taking taylor expansion of -1 in f 5.219 * [backup-simplify]: Simplify -1 into -1 5.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.219 * [taylor]: Taking taylor expansion of f in f 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.220 * [taylor]: Taking taylor expansion of n in f 5.220 * [backup-simplify]: Simplify n into n 5.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.220 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.220 * [taylor]: Taking taylor expansion of f in f 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 1 into 1 5.220 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.220 * [taylor]: Taking taylor expansion of n in f 5.220 * [backup-simplify]: Simplify n into n 5.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.221 * [backup-simplify]: Simplify (+ 1 0) into 1 5.221 * [backup-simplify]: Simplify (+ 1 0) into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.222 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.222 * [taylor]: Taking taylor expansion of -1 in f 5.222 * [backup-simplify]: Simplify -1 into -1 5.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.222 * [taylor]: Taking taylor expansion of f in f 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.222 * [taylor]: Taking taylor expansion of n in f 5.222 * [backup-simplify]: Simplify n into n 5.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.222 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.222 * [taylor]: Taking taylor expansion of f in f 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.223 * [taylor]: Taking taylor expansion of n in f 5.223 * [backup-simplify]: Simplify n into n 5.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.224 * [backup-simplify]: Simplify (+ 1 0) into 1 5.224 * [backup-simplify]: Simplify (+ 1 0) into 1 5.224 * [backup-simplify]: Simplify (/ 1 1) into 1 5.225 * [backup-simplify]: Simplify (* -1 1) into -1 5.225 * [taylor]: Taking taylor expansion of -1 in n 5.225 * [backup-simplify]: Simplify -1 into -1 5.225 * [backup-simplify]: Simplify -1 into -1 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.227 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.228 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.228 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.228 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.228 * [taylor]: Taking taylor expansion of 2 in n 5.228 * [backup-simplify]: Simplify 2 into 2 5.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.228 * [taylor]: Taking taylor expansion of n in n 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (/ 1 1) into 1 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.231 * [backup-simplify]: Simplify (- 0) into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.234 * [backup-simplify]: Simplify (- 0) into 0 5.234 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.237 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.237 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.237 * [taylor]: Taking taylor expansion of 2 in n 5.237 * [backup-simplify]: Simplify 2 into 2 5.237 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.237 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.237 * [taylor]: Taking taylor expansion of n in n 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (* 1 1) into 1 5.238 * [backup-simplify]: Simplify (/ 1 1) into 1 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.242 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.242 * [backup-simplify]: Simplify (- 0) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.247 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.248 * [backup-simplify]: Simplify (- 0) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.251 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.251 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.251 * [taylor]: Taking taylor expansion of 2 in n 5.252 * [backup-simplify]: Simplify 2 into 2 5.252 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.252 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.252 * [taylor]: Taking taylor expansion of n in n 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 1 into 1 5.252 * [backup-simplify]: Simplify (* 1 1) into 1 5.252 * [backup-simplify]: Simplify (* 1 1) into 1 5.253 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (- 0) into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify -1 into -1 5.263 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.263 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.263 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.263 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.263 * [taylor]: Taking taylor expansion of f in n 5.263 * [backup-simplify]: Simplify f into f 5.263 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.263 * [taylor]: Taking taylor expansion of n in n 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify (/ 1 1) into 1 5.263 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.263 * [taylor]: Taking taylor expansion of n in n 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.264 * [backup-simplify]: Simplify (/ 1 1) into 1 5.264 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.264 * [taylor]: Taking taylor expansion of f in n 5.264 * [backup-simplify]: Simplify f into f 5.264 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.264 * [backup-simplify]: Simplify (+ 0 1) into 1 5.264 * [backup-simplify]: Simplify (+ 1 0) into 1 5.264 * [backup-simplify]: Simplify (/ 1 1) into 1 5.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.265 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.265 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.265 * [taylor]: Taking taylor expansion of f in f 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (/ 1 1) into 1 5.265 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.265 * [taylor]: Taking taylor expansion of n in f 5.265 * [backup-simplify]: Simplify n into n 5.265 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.265 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.265 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.265 * [taylor]: Taking taylor expansion of n in f 5.265 * [backup-simplify]: Simplify n into n 5.265 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.265 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.265 * [taylor]: Taking taylor expansion of f in f 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (+ 1 0) into 1 5.266 * [backup-simplify]: Simplify (- 1) into -1 5.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.266 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.266 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.266 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.266 * [taylor]: Taking taylor expansion of f in f 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (/ 1 1) into 1 5.267 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.267 * [taylor]: Taking taylor expansion of n in f 5.267 * [backup-simplify]: Simplify n into n 5.267 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.267 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.267 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.267 * [taylor]: Taking taylor expansion of n in f 5.267 * [backup-simplify]: Simplify n into n 5.267 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.267 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.267 * [taylor]: Taking taylor expansion of f in f 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (/ 1 1) into 1 5.267 * [backup-simplify]: Simplify (+ 1 0) into 1 5.268 * [backup-simplify]: Simplify (- 1) into -1 5.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.268 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.268 * [taylor]: Taking taylor expansion of -1 in n 5.268 * [backup-simplify]: Simplify -1 into -1 5.268 * [backup-simplify]: Simplify -1 into -1 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (- 0) into 0 5.270 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.270 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.270 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.270 * [taylor]: Taking taylor expansion of 2 in n 5.270 * [backup-simplify]: Simplify 2 into 2 5.270 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.270 * [taylor]: Taking taylor expansion of n in n 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.271 * [backup-simplify]: Simplify (- 0) into 0 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.272 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.273 * [backup-simplify]: Simplify (- 0) into 0 5.273 * [backup-simplify]: Simplify (+ 0 0) into 0 5.274 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.274 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.274 * [taylor]: Taking taylor expansion of 2 in n 5.274 * [backup-simplify]: Simplify 2 into 2 5.274 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.274 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.274 * [taylor]: Taking taylor expansion of n in n 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (* 1 1) into 1 5.274 * [backup-simplify]: Simplify (/ 1 1) into 1 5.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.277 * [backup-simplify]: Simplify (- 0) into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.278 * [backup-simplify]: Simplify (- 0) into 0 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.279 * [backup-simplify]: Simplify (+ 0 0) into 0 5.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (- 0) into 0 5.280 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.282 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.282 * [taylor]: Taking taylor expansion of 2 in n 5.282 * [backup-simplify]: Simplify 2 into 2 5.282 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.282 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.282 * [taylor]: Taking taylor expansion of n in n 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 1 into 1 5.282 * [backup-simplify]: Simplify (* 1 1) into 1 5.282 * [backup-simplify]: Simplify (* 1 1) into 1 5.282 * [backup-simplify]: Simplify (/ 1 1) into 1 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (- 0) into 0 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify -1 into -1 5.288 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.288 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 5.288 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.288 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.288 * [taylor]: Taking taylor expansion of -1 in n 5.288 * [backup-simplify]: Simplify -1 into -1 5.288 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.288 * [taylor]: Taking taylor expansion of (+ n f) in n 5.288 * [taylor]: Taking taylor expansion of n in n 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.288 * [taylor]: Taking taylor expansion of f in n 5.288 * [backup-simplify]: Simplify f into f 5.288 * [taylor]: Taking taylor expansion of (- f n) in n 5.288 * [taylor]: Taking taylor expansion of f in n 5.288 * [backup-simplify]: Simplify f into f 5.288 * [taylor]: Taking taylor expansion of n in n 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.288 * [backup-simplify]: Simplify (+ 0 f) into f 5.289 * [backup-simplify]: Simplify (- 0) into 0 5.289 * [backup-simplify]: Simplify (+ f 0) into f 5.289 * [backup-simplify]: Simplify (/ f f) into 1 5.289 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.289 * [taylor]: Taking taylor expansion of -1 in f 5.289 * [backup-simplify]: Simplify -1 into -1 5.289 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.289 * [taylor]: Taking taylor expansion of (+ n f) in f 5.289 * [taylor]: Taking taylor expansion of n in f 5.289 * [backup-simplify]: Simplify n into n 5.289 * [taylor]: Taking taylor expansion of f in f 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [taylor]: Taking taylor expansion of (- f n) in f 5.289 * [taylor]: Taking taylor expansion of f in f 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [taylor]: Taking taylor expansion of n in f 5.289 * [backup-simplify]: Simplify n into n 5.289 * [backup-simplify]: Simplify (+ n 0) into n 5.289 * [backup-simplify]: Simplify (- n) into (- n) 5.289 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.289 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.289 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.289 * [taylor]: Taking taylor expansion of -1 in f 5.289 * [backup-simplify]: Simplify -1 into -1 5.289 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.289 * [taylor]: Taking taylor expansion of (+ n f) in f 5.289 * [taylor]: Taking taylor expansion of n in f 5.289 * [backup-simplify]: Simplify n into n 5.289 * [taylor]: Taking taylor expansion of f in f 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [taylor]: Taking taylor expansion of (- f n) in f 5.289 * [taylor]: Taking taylor expansion of f in f 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify 1 into 1 5.289 * [taylor]: Taking taylor expansion of n in f 5.289 * [backup-simplify]: Simplify n into n 5.289 * [backup-simplify]: Simplify (+ n 0) into n 5.289 * [backup-simplify]: Simplify (- n) into (- n) 5.289 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.289 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.290 * [backup-simplify]: Simplify (* -1 -1) into 1 5.290 * [taylor]: Taking taylor expansion of 1 in n 5.290 * [backup-simplify]: Simplify 1 into 1 5.290 * [backup-simplify]: Simplify 1 into 1 5.290 * [backup-simplify]: Simplify (+ 0 1) into 1 5.290 * [backup-simplify]: Simplify (- 0) into 0 5.290 * [backup-simplify]: Simplify (+ 1 0) into 1 5.291 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.291 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.291 * [taylor]: Taking taylor expansion of 2 in n 5.291 * [backup-simplify]: Simplify 2 into 2 5.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.291 * [taylor]: Taking taylor expansion of n in n 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (/ 1 1) into 1 5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [backup-simplify]: Simplify (- 0) into 0 5.293 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.294 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.294 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.294 * [taylor]: Taking taylor expansion of 2 in n 5.294 * [backup-simplify]: Simplify 2 into 2 5.294 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.294 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.294 * [taylor]: Taking taylor expansion of n in n 5.294 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify 1 into 1 5.294 * [backup-simplify]: Simplify (* 1 1) into 1 5.294 * [backup-simplify]: Simplify (/ 1 1) into 1 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (+ 0 0) into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.299 * [backup-simplify]: Simplify (+ 0 0) into 0 5.299 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.300 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.300 * [taylor]: Taking taylor expansion of 2 in n 5.300 * [backup-simplify]: Simplify 2 into 2 5.300 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.300 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.300 * [taylor]: Taking taylor expansion of n in n 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (* 1 1) into 1 5.300 * [backup-simplify]: Simplify (* 1 1) into 1 5.301 * [backup-simplify]: Simplify (/ 1 1) into 1 5.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.306 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.306 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.306 * [taylor]: Taking taylor expansion of -1 in n 5.306 * [backup-simplify]: Simplify -1 into -1 5.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.306 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.306 * [taylor]: Taking taylor expansion of f in n 5.306 * [backup-simplify]: Simplify f into f 5.306 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.306 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.306 * [taylor]: Taking taylor expansion of n in n 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (/ 1 1) into 1 5.307 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.307 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.307 * [taylor]: Taking taylor expansion of f in n 5.307 * [backup-simplify]: Simplify f into f 5.307 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.307 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.307 * [taylor]: Taking taylor expansion of n in n 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (/ 1 1) into 1 5.307 * [backup-simplify]: Simplify (+ 0 1) into 1 5.308 * [backup-simplify]: Simplify (- 1) into -1 5.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.308 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.308 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.308 * [taylor]: Taking taylor expansion of -1 in f 5.308 * [backup-simplify]: Simplify -1 into -1 5.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.308 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.308 * [taylor]: Taking taylor expansion of f in f 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.309 * [taylor]: Taking taylor expansion of n in f 5.309 * [backup-simplify]: Simplify n into n 5.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.309 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.309 * [taylor]: Taking taylor expansion of f in f 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 1 into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.309 * [taylor]: Taking taylor expansion of n in f 5.309 * [backup-simplify]: Simplify n into n 5.309 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.310 * [taylor]: Taking taylor expansion of -1 in f 5.310 * [backup-simplify]: Simplify -1 into -1 5.310 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.310 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.310 * [taylor]: Taking taylor expansion of f in f 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.310 * [taylor]: Taking taylor expansion of n in f 5.310 * [backup-simplify]: Simplify n into n 5.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.310 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.310 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.310 * [taylor]: Taking taylor expansion of f in f 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.311 * [taylor]: Taking taylor expansion of n in f 5.311 * [backup-simplify]: Simplify n into n 5.311 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.311 * [backup-simplify]: Simplify (+ 1 0) into 1 5.311 * [backup-simplify]: Simplify (+ 1 0) into 1 5.311 * [backup-simplify]: Simplify (/ 1 1) into 1 5.312 * [backup-simplify]: Simplify (* -1 1) into -1 5.312 * [taylor]: Taking taylor expansion of -1 in n 5.312 * [backup-simplify]: Simplify -1 into -1 5.312 * [backup-simplify]: Simplify -1 into -1 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.313 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.313 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.313 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.313 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.313 * [taylor]: Taking taylor expansion of 2 in n 5.313 * [backup-simplify]: Simplify 2 into 2 5.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.313 * [taylor]: Taking taylor expansion of n in n 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (/ 1 1) into 1 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.319 * [backup-simplify]: Simplify (- 0) into 0 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.320 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.321 * [backup-simplify]: Simplify (- 0) into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.323 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.323 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.323 * [taylor]: Taking taylor expansion of 2 in n 5.323 * [backup-simplify]: Simplify 2 into 2 5.323 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.323 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.323 * [taylor]: Taking taylor expansion of n in n 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [backup-simplify]: Simplify (* 1 1) into 1 5.323 * [backup-simplify]: Simplify (/ 1 1) into 1 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.326 * [backup-simplify]: Simplify (- 0) into 0 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.327 * [backup-simplify]: Simplify (- 0) into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.329 * [backup-simplify]: Simplify (- 0) into 0 5.330 * [backup-simplify]: Simplify (+ 0 0) into 0 5.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.331 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.331 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.331 * [taylor]: Taking taylor expansion of 2 in n 5.331 * [backup-simplify]: Simplify 2 into 2 5.331 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.331 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.331 * [taylor]: Taking taylor expansion of n in n 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (* 1 1) into 1 5.332 * [backup-simplify]: Simplify (* 1 1) into 1 5.332 * [backup-simplify]: Simplify (/ 1 1) into 1 5.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (- 0) into 0 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify -1 into -1 5.338 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.338 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.338 * [taylor]: Taking taylor expansion of f in n 5.338 * [backup-simplify]: Simplify f into f 5.338 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.338 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.338 * [taylor]: Taking taylor expansion of n in n 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify 1 into 1 5.338 * [backup-simplify]: Simplify (/ 1 1) into 1 5.339 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.339 * [taylor]: Taking taylor expansion of n in n 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [backup-simplify]: Simplify (/ 1 1) into 1 5.339 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.339 * [taylor]: Taking taylor expansion of f in n 5.339 * [backup-simplify]: Simplify f into f 5.339 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.339 * [backup-simplify]: Simplify (+ 0 1) into 1 5.340 * [backup-simplify]: Simplify (+ 1 0) into 1 5.340 * [backup-simplify]: Simplify (/ 1 1) into 1 5.340 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.340 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.340 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.340 * [taylor]: Taking taylor expansion of f in f 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.341 * [taylor]: Taking taylor expansion of n in f 5.341 * [backup-simplify]: Simplify n into n 5.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.341 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.341 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.341 * [taylor]: Taking taylor expansion of n in f 5.341 * [backup-simplify]: Simplify n into n 5.341 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.341 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.341 * [taylor]: Taking taylor expansion of f in f 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [backup-simplify]: Simplify (+ 1 0) into 1 5.342 * [backup-simplify]: Simplify (- 1) into -1 5.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.343 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.343 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.343 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.343 * [taylor]: Taking taylor expansion of f in f 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ 1 1) into 1 5.344 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.344 * [taylor]: Taking taylor expansion of n in f 5.344 * [backup-simplify]: Simplify n into n 5.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.344 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.344 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.344 * [taylor]: Taking taylor expansion of n in f 5.344 * [backup-simplify]: Simplify n into n 5.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.344 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.344 * [taylor]: Taking taylor expansion of f in f 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ 1 1) into 1 5.345 * [backup-simplify]: Simplify (+ 1 0) into 1 5.345 * [backup-simplify]: Simplify (- 1) into -1 5.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.346 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.346 * [taylor]: Taking taylor expansion of -1 in n 5.346 * [backup-simplify]: Simplify -1 into -1 5.346 * [backup-simplify]: Simplify -1 into -1 5.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.347 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (- 0) into 0 5.348 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.349 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.349 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.349 * [taylor]: Taking taylor expansion of 2 in n 5.349 * [backup-simplify]: Simplify 2 into 2 5.349 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.349 * [taylor]: Taking taylor expansion of n in n 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (/ 1 1) into 1 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.351 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.353 * [backup-simplify]: Simplify (+ 0 0) into 0 5.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (- 0) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.356 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.356 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.356 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.356 * [taylor]: Taking taylor expansion of 2 in n 5.356 * [backup-simplify]: Simplify 2 into 2 5.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.356 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.356 * [taylor]: Taking taylor expansion of n in n 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 1 into 1 5.356 * [backup-simplify]: Simplify (* 1 1) into 1 5.357 * [backup-simplify]: Simplify (/ 1 1) into 1 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.364 * [backup-simplify]: Simplify (- 0) into 0 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (- 0) into 0 5.367 * [backup-simplify]: Simplify (+ 0 0) into 0 5.369 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.369 * [taylor]: Taking taylor expansion of 2 in n 5.369 * [backup-simplify]: Simplify 2 into 2 5.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.369 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.370 * [taylor]: Taking taylor expansion of n in n 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (* 1 1) into 1 5.371 * [backup-simplify]: Simplify (/ 1 1) into 1 5.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.380 * [backup-simplify]: Simplify (- 0) into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify -1 into -1 5.380 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.381 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))) into (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) 5.381 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in (f n) around 0 5.381 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in n 5.381 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 5.381 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.381 * [taylor]: Taking taylor expansion of -1 in n 5.381 * [backup-simplify]: Simplify -1 into -1 5.381 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.381 * [taylor]: Taking taylor expansion of (+ n f) in n 5.381 * [taylor]: Taking taylor expansion of n in n 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [taylor]: Taking taylor expansion of f in n 5.381 * [backup-simplify]: Simplify f into f 5.381 * [taylor]: Taking taylor expansion of (- f n) in n 5.381 * [taylor]: Taking taylor expansion of f in n 5.381 * [backup-simplify]: Simplify f into f 5.381 * [taylor]: Taking taylor expansion of n in n 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (+ 0 f) into f 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ f 0) into f 5.382 * [backup-simplify]: Simplify (/ f f) into 1 5.382 * [backup-simplify]: Simplify (* -1 1) into -1 5.383 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.383 * [backup-simplify]: Simplify (+ 1 0) into 1 5.384 * [backup-simplify]: Simplify (- 1) into -1 5.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.385 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 5.385 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 5.386 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 5.386 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 5.386 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 5.387 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.387 * [taylor]: Taking taylor expansion of -1 in f 5.387 * [backup-simplify]: Simplify -1 into -1 5.387 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.387 * [taylor]: Taking taylor expansion of (+ n f) in f 5.387 * [taylor]: Taking taylor expansion of n in f 5.387 * [backup-simplify]: Simplify n into n 5.387 * [taylor]: Taking taylor expansion of f in f 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [taylor]: Taking taylor expansion of (- f n) in f 5.387 * [taylor]: Taking taylor expansion of f in f 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [taylor]: Taking taylor expansion of n in f 5.387 * [backup-simplify]: Simplify n into n 5.387 * [backup-simplify]: Simplify (+ n 0) into n 5.387 * [backup-simplify]: Simplify (- n) into (- n) 5.387 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.387 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.388 * [backup-simplify]: Simplify (* -1 -1) into 1 5.388 * [backup-simplify]: Simplify (sqrt 1) into 1 5.388 * [backup-simplify]: Simplify (+ 0 1) into 1 5.389 * [backup-simplify]: Simplify (- 0) into 0 5.389 * [backup-simplify]: Simplify (+ 1 0) into 1 5.389 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.390 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.391 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 5.391 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ n f) (- f n)))) 2) in f 5.391 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 5.391 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.391 * [taylor]: Taking taylor expansion of -1 in f 5.391 * [backup-simplify]: Simplify -1 into -1 5.391 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.391 * [taylor]: Taking taylor expansion of (+ n f) in f 5.391 * [taylor]: Taking taylor expansion of n in f 5.391 * [backup-simplify]: Simplify n into n 5.391 * [taylor]: Taking taylor expansion of f in f 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [taylor]: Taking taylor expansion of (- f n) in f 5.391 * [taylor]: Taking taylor expansion of f in f 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.391 * [taylor]: Taking taylor expansion of n in f 5.391 * [backup-simplify]: Simplify n into n 5.391 * [backup-simplify]: Simplify (+ n 0) into n 5.391 * [backup-simplify]: Simplify (- n) into (- n) 5.391 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.391 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.392 * [backup-simplify]: Simplify (* -1 -1) into 1 5.392 * [backup-simplify]: Simplify (sqrt 1) into 1 5.393 * [backup-simplify]: Simplify (+ 0 1) into 1 5.393 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ 1 0) into 1 5.393 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.394 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.395 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 5.395 * [backup-simplify]: Simplify (* 1 1) into 1 5.395 * [taylor]: Taking taylor expansion of 1 in n 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (+ (* 1 (/ 1 n)) (* (/ 1 n) 1)) into (* 2 (/ 1 n)) 5.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.396 * [taylor]: Taking taylor expansion of 2 in n 5.396 * [backup-simplify]: Simplify 2 into 2 5.396 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.396 * [taylor]: Taking taylor expansion of n in n 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (/ 1 1) into 1 5.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (+ 0 0) into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.399 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.400 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.401 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 5.402 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 2))) (+ (* (/ 1 n) (/ 1 n)) (* (/ 1/2 (pow n 2)) 1))) into (* 2 (/ 1 (pow n 2))) 5.402 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.402 * [taylor]: Taking taylor expansion of 2 in n 5.402 * [backup-simplify]: Simplify 2 into 2 5.402 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.402 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.402 * [taylor]: Taking taylor expansion of n in n 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (* 1 1) into 1 5.403 * [backup-simplify]: Simplify (/ 1 1) into 1 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.407 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (- 0) into 0 5.410 * [backup-simplify]: Simplify (+ 0 0) into 0 5.411 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.411 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.412 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 5.412 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow n 3))) (+ (* (/ 1 n) (/ 1/2 (pow n 2))) (+ (* (/ 1/2 (pow n 2)) (/ 1 n)) (* (/ 1/2 (pow n 3)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.412 * [taylor]: Taking taylor expansion of 2 in n 5.413 * [backup-simplify]: Simplify 2 into 2 5.413 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.413 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.413 * [taylor]: Taking taylor expansion of n in n 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [backup-simplify]: Simplify (* 1 1) into 1 5.413 * [backup-simplify]: Simplify (* 1 1) into 1 5.413 * [backup-simplify]: Simplify (/ 1 1) into 1 5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) 5.419 * [approximate]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in (f n) around 0 5.419 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in n 5.419 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 5.419 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.419 * [taylor]: Taking taylor expansion of -1 in n 5.419 * [backup-simplify]: Simplify -1 into -1 5.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.419 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.419 * [taylor]: Taking taylor expansion of f in n 5.419 * [backup-simplify]: Simplify f into f 5.419 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.419 * [taylor]: Taking taylor expansion of n in n 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.419 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.419 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.420 * [taylor]: Taking taylor expansion of f in n 5.420 * [backup-simplify]: Simplify f into f 5.420 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.420 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.420 * [taylor]: Taking taylor expansion of n in n 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [backup-simplify]: Simplify (+ 0 1) into 1 5.420 * [backup-simplify]: Simplify (- 1) into -1 5.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.421 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.421 * [backup-simplify]: Simplify (* -1 -1) into 1 5.421 * [backup-simplify]: Simplify (sqrt 1) into 1 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.422 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.423 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 5.423 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 5.424 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 5.424 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 5.424 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.424 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.424 * [taylor]: Taking taylor expansion of -1 in f 5.424 * [backup-simplify]: Simplify -1 into -1 5.424 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.424 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.424 * [taylor]: Taking taylor expansion of f in f 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (/ 1 1) into 1 5.424 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.424 * [taylor]: Taking taylor expansion of n in f 5.424 * [backup-simplify]: Simplify n into n 5.424 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.424 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.424 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.424 * [taylor]: Taking taylor expansion of f in f 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (/ 1 1) into 1 5.425 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.425 * [taylor]: Taking taylor expansion of n in f 5.425 * [backup-simplify]: Simplify n into n 5.425 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.425 * [backup-simplify]: Simplify (+ 1 0) into 1 5.425 * [backup-simplify]: Simplify (+ 1 0) into 1 5.425 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [backup-simplify]: Simplify (* -1 1) into -1 5.426 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.427 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.427 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.427 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.427 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.428 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 5.428 * [taylor]: Taking taylor expansion of (pow (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 2) in f 5.428 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.428 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.428 * [taylor]: Taking taylor expansion of -1 in f 5.428 * [backup-simplify]: Simplify -1 into -1 5.428 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.428 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.428 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.429 * [taylor]: Taking taylor expansion of f in f 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify (/ 1 1) into 1 5.429 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.429 * [taylor]: Taking taylor expansion of n in f 5.429 * [backup-simplify]: Simplify n into n 5.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.429 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.429 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.429 * [taylor]: Taking taylor expansion of f in f 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify (/ 1 1) into 1 5.429 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.429 * [taylor]: Taking taylor expansion of n in f 5.429 * [backup-simplify]: Simplify n into n 5.429 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.430 * [backup-simplify]: Simplify (+ 1 0) into 1 5.430 * [backup-simplify]: Simplify (+ 1 0) into 1 5.430 * [backup-simplify]: Simplify (/ 1 1) into 1 5.430 * [backup-simplify]: Simplify (* -1 1) into -1 5.431 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.432 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.432 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.432 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.433 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 5.434 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.434 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.434 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.434 * [taylor]: Taking taylor expansion of -1 in n 5.434 * [backup-simplify]: Simplify -1 into -1 5.434 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.435 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.436 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 5.443 * [backup-simplify]: Simplify (+ (* (sqrt -1) (/ -1 (* (sqrt -1) n))) (* (/ -1 (* (sqrt -1) n)) (sqrt -1))) into (- (* 2 (/ 1 n))) 5.443 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.443 * [taylor]: Taking taylor expansion of 2 in n 5.443 * [backup-simplify]: Simplify 2 into 2 5.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.443 * [taylor]: Taking taylor expansion of n in n 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (/ 1 1) into 1 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.446 * [backup-simplify]: Simplify (- 0) into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.447 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.448 * [backup-simplify]: Simplify (+ 0 0) into 0 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.450 * [backup-simplify]: Simplify (- 0) into 0 5.450 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.452 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.454 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 5.458 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (sqrt -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.458 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.458 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.458 * [taylor]: Taking taylor expansion of 2 in n 5.458 * [backup-simplify]: Simplify 2 into 2 5.458 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.458 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.458 * [taylor]: Taking taylor expansion of n in n 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (* 1 1) into 1 5.459 * [backup-simplify]: Simplify (/ 1 1) into 1 5.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.461 * [backup-simplify]: Simplify (- 0) into 0 5.461 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.463 * [backup-simplify]: Simplify (- 0) into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.464 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.464 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.465 * [backup-simplify]: Simplify (+ 0 0) into 0 5.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.466 * [backup-simplify]: Simplify (- 0) into 0 5.466 * [backup-simplify]: Simplify (+ 0 0) into 0 5.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.468 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.470 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 5.477 * [backup-simplify]: Simplify (+ (* (sqrt -1) (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)))) (+ (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)))) (+ (* (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) (/ -1 (* (sqrt -1) n))) (* (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) (sqrt -1))))) into (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) 5.477 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3))))) in n 5.477 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 5.477 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 5.478 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.478 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.478 * [taylor]: Taking taylor expansion of -1 in n 5.478 * [backup-simplify]: Simplify -1 into -1 5.478 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.478 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.478 * [taylor]: Taking taylor expansion of n in n 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.479 * [backup-simplify]: Simplify (* 1 1) into 1 5.480 * [backup-simplify]: Simplify (* 1 1) into 1 5.481 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 5.482 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 5.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow n 3)))) in n 5.482 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 3) (pow (sqrt -1) 2))) in n 5.482 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow (sqrt -1) 2)) in n 5.482 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.482 * [taylor]: Taking taylor expansion of n in n 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.482 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.482 * [taylor]: Taking taylor expansion of -1 in n 5.482 * [backup-simplify]: Simplify -1 into -1 5.482 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.483 * [backup-simplify]: Simplify (* 1 1) into 1 5.483 * [backup-simplify]: Simplify (* 1 1) into 1 5.484 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.486 * [backup-simplify]: Simplify (* 1 (pow (sqrt -1) 2)) into (pow (sqrt -1) 2) 5.488 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 5.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.488 * [taylor]: Taking taylor expansion of 2 in n 5.488 * [backup-simplify]: Simplify 2 into 2 5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.488 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.488 * [taylor]: Taking taylor expansion of n in n 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 1 into 1 5.488 * [backup-simplify]: Simplify (* 1 1) into 1 5.489 * [backup-simplify]: Simplify (* 1 1) into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.494 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.497 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.501 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 5.502 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.503 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 5.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 5.505 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.509 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 5.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.510 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.512 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 5.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt -1) 2))) into 0 5.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 5.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 5.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [backup-simplify]: Simplify (- 0) into 0 5.524 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [backup-simplify]: Simplify (pow (sqrt -1) 2) into (pow (sqrt -1) 2) 5.525 * [backup-simplify]: Simplify (* (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.525 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.525 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.525 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.525 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.525 * [taylor]: Taking taylor expansion of f in n 5.525 * [backup-simplify]: Simplify f into f 5.525 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.525 * [taylor]: Taking taylor expansion of n in n 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify 1 into 1 5.525 * [backup-simplify]: Simplify (/ 1 1) into 1 5.525 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.525 * [taylor]: Taking taylor expansion of n in n 5.525 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (/ 1 1) into 1 5.526 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.526 * [taylor]: Taking taylor expansion of f in n 5.526 * [backup-simplify]: Simplify f into f 5.526 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.526 * [backup-simplify]: Simplify (+ 0 1) into 1 5.526 * [backup-simplify]: Simplify (+ 1 0) into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.527 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.527 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.527 * [taylor]: Taking taylor expansion of f in f 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.527 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.527 * [taylor]: Taking taylor expansion of n in f 5.527 * [backup-simplify]: Simplify n into n 5.527 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.527 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.527 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.527 * [taylor]: Taking taylor expansion of n in f 5.527 * [backup-simplify]: Simplify n into n 5.527 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.527 * [taylor]: Taking taylor expansion of f in f 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.528 * [backup-simplify]: Simplify (+ 1 0) into 1 5.528 * [backup-simplify]: Simplify (- 1) into -1 5.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.528 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.528 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.529 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.529 * [taylor]: Taking taylor expansion of f in f 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (/ 1 1) into 1 5.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.529 * [taylor]: Taking taylor expansion of n in f 5.529 * [backup-simplify]: Simplify n into n 5.529 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.529 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.529 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.529 * [taylor]: Taking taylor expansion of n in f 5.529 * [backup-simplify]: Simplify n into n 5.529 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.529 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.529 * [taylor]: Taking taylor expansion of f in f 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.529 * [backup-simplify]: Simplify (/ 1 1) into 1 5.530 * [backup-simplify]: Simplify (+ 1 0) into 1 5.530 * [backup-simplify]: Simplify (- 1) into -1 5.530 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.530 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.530 * [taylor]: Taking taylor expansion of -1 in n 5.530 * [backup-simplify]: Simplify -1 into -1 5.530 * [backup-simplify]: Simplify -1 into -1 5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.531 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (- 0) into 0 5.532 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.532 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.532 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.532 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.532 * [taylor]: Taking taylor expansion of 2 in n 5.532 * [backup-simplify]: Simplify 2 into 2 5.532 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.532 * [taylor]: Taking taylor expansion of n in n 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (/ 1 1) into 1 5.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.533 * [backup-simplify]: Simplify (- 0) into 0 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.534 * [backup-simplify]: Simplify (+ 0 0) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.535 * [backup-simplify]: Simplify (- 0) into 0 5.535 * [backup-simplify]: Simplify (+ 0 0) into 0 5.537 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.537 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.537 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.537 * [taylor]: Taking taylor expansion of 2 in n 5.537 * [backup-simplify]: Simplify 2 into 2 5.537 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.537 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.537 * [taylor]: Taking taylor expansion of n in n 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (* 1 1) into 1 5.538 * [backup-simplify]: Simplify (/ 1 1) into 1 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.542 * [backup-simplify]: Simplify (- 0) into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.545 * [backup-simplify]: Simplify (- 0) into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify (- 0) into 0 5.557 * [backup-simplify]: Simplify (+ 0 0) into 0 5.559 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.559 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.559 * [taylor]: Taking taylor expansion of 2 in n 5.559 * [backup-simplify]: Simplify 2 into 2 5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.559 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.560 * [taylor]: Taking taylor expansion of n in n 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [backup-simplify]: Simplify (* 1 1) into 1 5.560 * [backup-simplify]: Simplify (* 1 1) into 1 5.561 * [backup-simplify]: Simplify (/ 1 1) into 1 5.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify -1 into -1 5.571 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.571 * [backup-simplify]: Simplify (sqrt (/ (- (+ f n)) (- f n))) into (sqrt (* -1 (/ (+ n f) (- f n)))) 5.571 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 5.571 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in n 5.571 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.571 * [taylor]: Taking taylor expansion of -1 in n 5.571 * [backup-simplify]: Simplify -1 into -1 5.571 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.571 * [taylor]: Taking taylor expansion of (+ n f) in n 5.571 * [taylor]: Taking taylor expansion of n in n 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [taylor]: Taking taylor expansion of f in n 5.571 * [backup-simplify]: Simplify f into f 5.571 * [taylor]: Taking taylor expansion of (- f n) in n 5.571 * [taylor]: Taking taylor expansion of f in n 5.571 * [backup-simplify]: Simplify f into f 5.571 * [taylor]: Taking taylor expansion of n in n 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (+ 0 f) into f 5.572 * [backup-simplify]: Simplify (- 0) into 0 5.572 * [backup-simplify]: Simplify (+ f 0) into f 5.572 * [backup-simplify]: Simplify (/ f f) into 1 5.572 * [backup-simplify]: Simplify (* -1 1) into -1 5.573 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.573 * [backup-simplify]: Simplify (+ 1 0) into 1 5.574 * [backup-simplify]: Simplify (- 1) into -1 5.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.574 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 5.575 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 5.576 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 f))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) f)) 5.576 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 5.576 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.576 * [taylor]: Taking taylor expansion of -1 in f 5.576 * [backup-simplify]: Simplify -1 into -1 5.576 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.576 * [taylor]: Taking taylor expansion of (+ n f) in f 5.576 * [taylor]: Taking taylor expansion of n in f 5.576 * [backup-simplify]: Simplify n into n 5.576 * [taylor]: Taking taylor expansion of f in f 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [taylor]: Taking taylor expansion of (- f n) in f 5.576 * [taylor]: Taking taylor expansion of f in f 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify 1 into 1 5.576 * [taylor]: Taking taylor expansion of n in f 5.576 * [backup-simplify]: Simplify n into n 5.576 * [backup-simplify]: Simplify (+ n 0) into n 5.576 * [backup-simplify]: Simplify (- n) into (- n) 5.576 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.577 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.577 * [backup-simplify]: Simplify (* -1 -1) into 1 5.577 * [backup-simplify]: Simplify (sqrt 1) into 1 5.578 * [backup-simplify]: Simplify (+ 0 1) into 1 5.578 * [backup-simplify]: Simplify (- 0) into 0 5.579 * [backup-simplify]: Simplify (+ 1 0) into 1 5.579 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.579 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.580 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 5.580 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ n f) (- f n)))) in f 5.580 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.580 * [taylor]: Taking taylor expansion of -1 in f 5.580 * [backup-simplify]: Simplify -1 into -1 5.580 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.580 * [taylor]: Taking taylor expansion of (+ n f) in f 5.580 * [taylor]: Taking taylor expansion of n in f 5.580 * [backup-simplify]: Simplify n into n 5.580 * [taylor]: Taking taylor expansion of f in f 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.580 * [taylor]: Taking taylor expansion of (- f n) in f 5.580 * [taylor]: Taking taylor expansion of f in f 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify 1 into 1 5.580 * [taylor]: Taking taylor expansion of n in f 5.581 * [backup-simplify]: Simplify n into n 5.581 * [backup-simplify]: Simplify (+ n 0) into n 5.581 * [backup-simplify]: Simplify (- n) into (- n) 5.581 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.581 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.581 * [backup-simplify]: Simplify (* -1 -1) into 1 5.582 * [backup-simplify]: Simplify (sqrt 1) into 1 5.582 * [backup-simplify]: Simplify (+ 0 1) into 1 5.582 * [backup-simplify]: Simplify (- 0) into 0 5.583 * [backup-simplify]: Simplify (+ 1 0) into 1 5.583 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.584 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.584 * [backup-simplify]: Simplify (/ (* 2 (/ 1 n)) (* 2 (sqrt 1))) into (/ 1 n) 5.584 * [taylor]: Taking taylor expansion of 1 in n 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.584 * [taylor]: Taking taylor expansion of n in n 5.584 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.586 * [backup-simplify]: Simplify (- 0) into 0 5.587 * [backup-simplify]: Simplify (+ 0 0) into 0 5.587 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.588 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.589 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 2))) (pow (/ 1 n) 2) (+)) (* 2 1)) into (/ 1/2 (pow n 2)) 5.589 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 2)) in n 5.589 * [taylor]: Taking taylor expansion of 1/2 in n 5.589 * [backup-simplify]: Simplify 1/2 into 1/2 5.589 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.589 * [taylor]: Taking taylor expansion of n in n 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.590 * [backup-simplify]: Simplify (* 1 1) into 1 5.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify (+ 0 0) into 0 5.596 * [backup-simplify]: Simplify (- 0) into 0 5.596 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.598 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.599 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow n 3))) (+ (* 2 (* (/ 1 n) (/ 1/2 (pow n 2)))))) (* 2 1)) into (/ 1/2 (pow n 3)) 5.599 * [taylor]: Taking taylor expansion of (/ 1/2 (pow n 3)) in n 5.599 * [taylor]: Taking taylor expansion of 1/2 in n 5.599 * [backup-simplify]: Simplify 1/2 into 1/2 5.599 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.599 * [taylor]: Taking taylor expansion of n in n 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (* 1 1) into 1 5.600 * [backup-simplify]: Simplify (* 1 1) into 1 5.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.610 * [backup-simplify]: Simplify (sqrt (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 5.610 * [approximate]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 5.610 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 5.610 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.610 * [taylor]: Taking taylor expansion of -1 in n 5.610 * [backup-simplify]: Simplify -1 into -1 5.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.610 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.610 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.610 * [taylor]: Taking taylor expansion of f in n 5.610 * [backup-simplify]: Simplify f into f 5.610 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.610 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.610 * [taylor]: Taking taylor expansion of n in n 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.611 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.611 * [taylor]: Taking taylor expansion of f in n 5.611 * [backup-simplify]: Simplify f into f 5.611 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.611 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.611 * [taylor]: Taking taylor expansion of n in n 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (/ 1 1) into 1 5.612 * [backup-simplify]: Simplify (+ 0 1) into 1 5.612 * [backup-simplify]: Simplify (- 1) into -1 5.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.613 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.613 * [backup-simplify]: Simplify (* -1 -1) into 1 5.614 * [backup-simplify]: Simplify (sqrt 1) into 1 5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.615 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (- 0) into 0 5.616 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.616 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 5.617 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 5.617 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 5.617 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.617 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.617 * [taylor]: Taking taylor expansion of -1 in f 5.617 * [backup-simplify]: Simplify -1 into -1 5.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.617 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.618 * [taylor]: Taking taylor expansion of f in f 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1 1) into 1 5.618 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.618 * [taylor]: Taking taylor expansion of n in f 5.618 * [backup-simplify]: Simplify n into n 5.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.618 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.618 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.618 * [taylor]: Taking taylor expansion of f in f 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.619 * [taylor]: Taking taylor expansion of n in f 5.619 * [backup-simplify]: Simplify n into n 5.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.619 * [backup-simplify]: Simplify (+ 1 0) into 1 5.620 * [backup-simplify]: Simplify (+ 1 0) into 1 5.620 * [backup-simplify]: Simplify (/ 1 1) into 1 5.620 * [backup-simplify]: Simplify (* -1 1) into -1 5.621 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.622 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.622 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.623 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.623 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.623 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.624 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 5.624 * [taylor]: Taking taylor expansion of (sqrt (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.624 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.624 * [taylor]: Taking taylor expansion of -1 in f 5.624 * [backup-simplify]: Simplify -1 into -1 5.624 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.624 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.624 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.624 * [taylor]: Taking taylor expansion of f in f 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.624 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.624 * [taylor]: Taking taylor expansion of n in f 5.624 * [backup-simplify]: Simplify n into n 5.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.624 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.624 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.624 * [taylor]: Taking taylor expansion of f in f 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.625 * [taylor]: Taking taylor expansion of n in f 5.625 * [backup-simplify]: Simplify n into n 5.625 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.625 * [backup-simplify]: Simplify (+ 1 0) into 1 5.625 * [backup-simplify]: Simplify (+ 1 0) into 1 5.625 * [backup-simplify]: Simplify (/ 1 1) into 1 5.626 * [backup-simplify]: Simplify (* -1 1) into -1 5.626 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.627 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.627 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.627 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.628 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 5.628 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.628 * [taylor]: Taking taylor expansion of -1 in n 5.628 * [backup-simplify]: Simplify -1 into -1 5.629 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.629 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.629 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 5.629 * [taylor]: Taking taylor expansion of -1 in n 5.629 * [backup-simplify]: Simplify -1 into -1 5.629 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 5.629 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.629 * [taylor]: Taking taylor expansion of -1 in n 5.629 * [backup-simplify]: Simplify -1 into -1 5.630 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.630 * [taylor]: Taking taylor expansion of n in n 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (* (sqrt -1) 0) into 0 5.632 * [backup-simplify]: Simplify (+ (* (sqrt -1) 1) (* 0 0)) into (sqrt -1) 5.632 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 5.633 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.634 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.636 * [backup-simplify]: Simplify (- 0) into 0 5.636 * [backup-simplify]: Simplify (+ 0 0) into 0 5.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.638 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.639 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 5.639 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 5.639 * [taylor]: Taking taylor expansion of -1/2 in n 5.639 * [backup-simplify]: Simplify -1/2 into -1/2 5.639 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 5.639 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 5.639 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.639 * [taylor]: Taking taylor expansion of 2 in n 5.639 * [backup-simplify]: Simplify 2 into 2 5.639 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.639 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.639 * [taylor]: Taking taylor expansion of n in n 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (* 1 1) into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 5.640 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 5.640 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.640 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.640 * [taylor]: Taking taylor expansion of -1 in n 5.640 * [backup-simplify]: Simplify -1 into -1 5.640 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.640 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.640 * [taylor]: Taking taylor expansion of n in n 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.641 * [backup-simplify]: Simplify (* 1 1) into 1 5.643 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 5.644 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 5.644 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.644 * [taylor]: Taking taylor expansion of -1 in n 5.644 * [backup-simplify]: Simplify -1 into -1 5.644 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.645 * [backup-simplify]: Simplify (* 2 1) into 2 5.646 * [backup-simplify]: Simplify (+ 2 (/ 1 (pow (sqrt -1) 2))) into (+ (/ 1 (pow (sqrt -1) 2)) 2) 5.649 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) 5.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.653 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.656 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.657 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.659 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 5.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 5.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.666 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 5.669 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 5.671 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))))) into 0 5.671 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.674 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.675 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 5.675 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.676 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.678 * [backup-simplify]: Simplify (+ 0 0) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.679 * [backup-simplify]: Simplify (- 0) into 0 5.680 * [backup-simplify]: Simplify (+ 0 0) into 0 5.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.682 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.685 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 5.685 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) in n 5.685 * [taylor]: Taking taylor expansion of -1/2 in n 5.685 * [backup-simplify]: Simplify -1/2 into -1/2 5.685 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)) in n 5.685 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) in n 5.685 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 5.685 * [taylor]: Taking taylor expansion of 2 in n 5.685 * [backup-simplify]: Simplify 2 into 2 5.685 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 5.685 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 5.685 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.685 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.685 * [taylor]: Taking taylor expansion of -1 in n 5.685 * [backup-simplify]: Simplify -1 into -1 5.690 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.691 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.691 * [taylor]: Taking taylor expansion of n in n 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.692 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.692 * [backup-simplify]: Simplify (* 1 1) into 1 5.692 * [backup-simplify]: Simplify (* 1 1) into 1 5.693 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 5.694 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 5.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 5.694 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 5.694 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 5.694 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 5.694 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.694 * [taylor]: Taking taylor expansion of -1 in n 5.694 * [backup-simplify]: Simplify -1 into -1 5.695 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.695 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.695 * [taylor]: Taking taylor expansion of n in n 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.697 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)) into (pow (sqrt -1) 4) 5.698 * [backup-simplify]: Simplify (* 1 1) into 1 5.698 * [backup-simplify]: Simplify (* 1 1) into 1 5.699 * [backup-simplify]: Simplify (* (pow (sqrt -1) 4) 1) into (pow (sqrt -1) 4) 5.700 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 4)) into (/ 1 (pow (sqrt -1) 4)) 5.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.700 * [taylor]: Taking taylor expansion of 2 in n 5.700 * [backup-simplify]: Simplify 2 into 2 5.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.700 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.700 * [taylor]: Taking taylor expansion of n in n 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (* 1 1) into 1 5.701 * [backup-simplify]: Simplify (* 1 1) into 1 5.701 * [backup-simplify]: Simplify (/ 1 1) into 1 5.701 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.701 * [taylor]: Taking taylor expansion of -1 in n 5.701 * [backup-simplify]: Simplify -1 into -1 5.701 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.703 * [backup-simplify]: Simplify (* 2 (/ 1 (pow (sqrt -1) 2))) into (/ 2 (pow (sqrt -1) 2)) 5.703 * [backup-simplify]: Simplify (* 2 1) into 2 5.705 * [backup-simplify]: Simplify (+ (/ 1 (pow (sqrt -1) 4)) 2) into (+ (/ 1 (pow (sqrt -1) 4)) 2) 5.708 * [backup-simplify]: Simplify (+ (/ 2 (pow (sqrt -1) 2)) (+ (/ 1 (pow (sqrt -1) 4)) 2)) into (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) 5.716 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) 5.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.721 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.724 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.727 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 5.729 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.730 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 5.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 5.733 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2)))))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.743 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.744 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 (pow (sqrt -1) 2))) into 0 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.747 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.748 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 5.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.752 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 5.753 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 5.755 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.756 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (* 0 1)) into 0 5.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))))) into 0 5.759 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (* 0 1))) into 0 5.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 5.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 5.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.771 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.772 * [backup-simplify]: Simplify (+ 0 0) into 0 5.772 * [backup-simplify]: Simplify (+ 0 0) into 0 5.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.776 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow (sqrt -1) 2)))) into 0 5.777 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.777 * [backup-simplify]: Simplify (+ 0 0) into 0 5.778 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 5.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2))))) into 0 5.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.782 * [backup-simplify]: Simplify (+ 0 0) into 0 5.782 * [backup-simplify]: Simplify (+ 0 0) into 0 5.784 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 5.785 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 5.787 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)))))) into 0 5.787 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.788 * [backup-simplify]: Simplify (sqrt (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 5.788 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.788 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 5.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.788 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.788 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.788 * [taylor]: Taking taylor expansion of f in n 5.788 * [backup-simplify]: Simplify f into f 5.788 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.788 * [taylor]: Taking taylor expansion of n in n 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify (/ 1 1) into 1 5.788 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.789 * [taylor]: Taking taylor expansion of n in n 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 1 into 1 5.790 * [backup-simplify]: Simplify (/ 1 1) into 1 5.790 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.790 * [taylor]: Taking taylor expansion of f in n 5.790 * [backup-simplify]: Simplify f into f 5.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.790 * [backup-simplify]: Simplify (+ 0 1) into 1 5.790 * [backup-simplify]: Simplify (+ 1 0) into 1 5.790 * [backup-simplify]: Simplify (/ 1 1) into 1 5.791 * [backup-simplify]: Simplify (sqrt 1) into 1 5.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.791 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.792 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 5.792 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 5.792 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 5.792 * [backup-simplify]: Simplify (/ (* 2 (/ 1 f)) (* 2 (sqrt 1))) into (/ 1 f) 5.792 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.792 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.792 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.792 * [taylor]: Taking taylor expansion of f in f 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (/ 1 1) into 1 5.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.793 * [taylor]: Taking taylor expansion of n in f 5.793 * [backup-simplify]: Simplify n into n 5.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.793 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.793 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.793 * [taylor]: Taking taylor expansion of n in f 5.793 * [backup-simplify]: Simplify n into n 5.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.793 * [taylor]: Taking taylor expansion of f in f 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (/ 1 1) into 1 5.793 * [backup-simplify]: Simplify (+ 1 0) into 1 5.794 * [backup-simplify]: Simplify (- 1) into -1 5.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.794 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.794 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.795 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify (- 0) into 0 5.796 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.796 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.796 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 5.796 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.796 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.796 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.796 * [taylor]: Taking taylor expansion of f in f 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.797 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.797 * [taylor]: Taking taylor expansion of n in f 5.797 * [backup-simplify]: Simplify n into n 5.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.797 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.797 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.797 * [taylor]: Taking taylor expansion of n in f 5.797 * [backup-simplify]: Simplify n into n 5.797 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.797 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.797 * [taylor]: Taking taylor expansion of f in f 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [backup-simplify]: Simplify (+ 1 0) into 1 5.798 * [backup-simplify]: Simplify (- 1) into -1 5.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.798 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.799 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify (- 0) into 0 5.800 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.800 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.801 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 n))) (* 2 (sqrt -1))) into (/ -1 (* (sqrt -1) n)) 5.801 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.801 * [taylor]: Taking taylor expansion of -1 in n 5.801 * [backup-simplify]: Simplify -1 into -1 5.801 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.802 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.802 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt -1) n)) in n 5.802 * [taylor]: Taking taylor expansion of -1 in n 5.802 * [backup-simplify]: Simplify -1 into -1 5.802 * [taylor]: Taking taylor expansion of (* (sqrt -1) n) in n 5.802 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.802 * [taylor]: Taking taylor expansion of -1 in n 5.802 * [backup-simplify]: Simplify -1 into -1 5.802 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.802 * [taylor]: Taking taylor expansion of n in n 5.802 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (* (sqrt -1) 0) into 0 5.804 * [backup-simplify]: Simplify (+ (* (sqrt -1) 1) (* 0 0)) into (sqrt -1) 5.805 * [backup-simplify]: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) 5.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.812 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 1) (* 0 0))) into 0 5.812 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.813 * [backup-simplify]: Simplify (+ 0 0) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (- 0) into 0 5.814 * [backup-simplify]: Simplify (+ 0 0) into 0 5.816 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.818 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 2)))) (pow (/ -1 (* (sqrt -1) n)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) 5.818 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))) in n 5.818 * [taylor]: Taking taylor expansion of -1/2 in n 5.818 * [backup-simplify]: Simplify -1/2 into -1/2 5.818 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1)) in n 5.818 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) in n 5.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.818 * [taylor]: Taking taylor expansion of 2 in n 5.818 * [backup-simplify]: Simplify 2 into 2 5.818 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.818 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.818 * [taylor]: Taking taylor expansion of n in n 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (* 1 1) into 1 5.819 * [backup-simplify]: Simplify (/ 1 1) into 1 5.819 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 2))) in n 5.819 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 2)) in n 5.819 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.819 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.820 * [taylor]: Taking taylor expansion of -1 in n 5.820 * [backup-simplify]: Simplify -1 into -1 5.820 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.821 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.821 * [taylor]: Taking taylor expansion of n in n 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.823 * [backup-simplify]: Simplify (* 1 1) into 1 5.824 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 5.826 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 5.826 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.826 * [taylor]: Taking taylor expansion of -1 in n 5.826 * [backup-simplify]: Simplify -1 into -1 5.827 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.828 * [backup-simplify]: Simplify (* 2 1) into 2 5.830 * [backup-simplify]: Simplify (+ 2 (/ 1 (pow (sqrt -1) 2))) into (+ (/ 1 (pow (sqrt -1) 2)) 2) 5.835 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) 5.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.841 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.844 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.846 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.847 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 5.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.851 * [backup-simplify]: Simplify (+ 0 0) into 0 5.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.852 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.853 * [backup-simplify]: Simplify (+ 0 0) into 0 5.855 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 5.857 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 5.859 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))))) into 0 5.859 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.862 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.863 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ -1 (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.866 * [backup-simplify]: Simplify (+ 0 0) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.868 * [backup-simplify]: Simplify (- 0) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.874 * [backup-simplify]: Simplify (/ (- (- (* 2 (/ 1 (pow n 3)))) (+ (* 2 (* (/ -1 (* (sqrt -1) n)) (* -1/2 (/ (+ (* 2 (/ 1 (pow n 2))) (/ 1 (* (pow (sqrt -1) 2) (pow n 2)))) (sqrt -1))))))) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) 5.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1))) in n 5.874 * [taylor]: Taking taylor expansion of -1/2 in n 5.874 * [backup-simplify]: Simplify -1/2 into -1/2 5.874 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) (sqrt -1)) in n 5.874 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3))))) in n 5.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* (pow (sqrt -1) 2) (pow n 3)))) in n 5.874 * [taylor]: Taking taylor expansion of 2 in n 5.874 * [backup-simplify]: Simplify 2 into 2 5.874 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 2) (pow n 3))) in n 5.874 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 2) (pow n 3)) in n 5.874 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 2) in n 5.874 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.874 * [taylor]: Taking taylor expansion of -1 in n 5.874 * [backup-simplify]: Simplify -1 into -1 5.874 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.875 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.875 * [taylor]: Taking taylor expansion of n in n 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.879 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) 1) into (pow (sqrt -1) 2) 5.881 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 2)) into (/ 1 (pow (sqrt -1) 2)) 5.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) (* 2 (/ 1 (pow n 3)))) in n 5.881 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt -1) 4) (pow n 3))) in n 5.881 * [taylor]: Taking taylor expansion of (* (pow (sqrt -1) 4) (pow n 3)) in n 5.881 * [taylor]: Taking taylor expansion of (pow (sqrt -1) 4) in n 5.881 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.881 * [taylor]: Taking taylor expansion of -1 in n 5.881 * [backup-simplify]: Simplify -1 into -1 5.881 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.882 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.882 * [taylor]: Taking taylor expansion of n in n 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (* (sqrt -1) (sqrt -1)) into (pow (sqrt -1) 2) 5.887 * [backup-simplify]: Simplify (* (pow (sqrt -1) 2) (pow (sqrt -1) 2)) into (pow (sqrt -1) 4) 5.887 * [backup-simplify]: Simplify (* 1 1) into 1 5.888 * [backup-simplify]: Simplify (* 1 1) into 1 5.890 * [backup-simplify]: Simplify (* (pow (sqrt -1) 4) 1) into (pow (sqrt -1) 4) 5.891 * [backup-simplify]: Simplify (/ 1 (pow (sqrt -1) 4)) into (/ 1 (pow (sqrt -1) 4)) 5.891 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.891 * [taylor]: Taking taylor expansion of 2 in n 5.891 * [backup-simplify]: Simplify 2 into 2 5.891 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.892 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.892 * [taylor]: Taking taylor expansion of n in n 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify 1 into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.892 * [backup-simplify]: Simplify (* 1 1) into 1 5.893 * [backup-simplify]: Simplify (/ 1 1) into 1 5.893 * [taylor]: Taking taylor expansion of (sqrt -1) in n 5.893 * [taylor]: Taking taylor expansion of -1 in n 5.893 * [backup-simplify]: Simplify -1 into -1 5.893 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.897 * [backup-simplify]: Simplify (* 2 (/ 1 (pow (sqrt -1) 2))) into (/ 2 (pow (sqrt -1) 2)) 5.897 * [backup-simplify]: Simplify (* 2 1) into 2 5.900 * [backup-simplify]: Simplify (+ (/ 1 (pow (sqrt -1) 4)) 2) into (+ (/ 1 (pow (sqrt -1) 4)) 2) 5.906 * [backup-simplify]: Simplify (+ (/ 2 (pow (sqrt -1) 2)) (+ (/ 1 (pow (sqrt -1) 4)) 2)) into (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) 5.916 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) into (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) 5.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.920 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.924 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.927 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 5.928 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.930 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 1)) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))))) into 0 5.933 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 2)) (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))) (* 0 (/ 0 (pow (sqrt -1) 2))))) into 0 5.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2)))))) into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt -1))) into 0 5.944 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (* 0 (pow (sqrt -1) 2))) into 0 5.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.946 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.947 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (* 0 (sqrt -1)))) into 0 5.948 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2)))) into 0 5.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.951 * [backup-simplify]: Simplify (+ (* (sqrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt -1))))) into 0 5.953 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt -1) 2))))) into 0 5.955 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.956 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (* 0 1)) into 0 5.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))))) into 0 5.959 * [backup-simplify]: Simplify (+ (* (pow (sqrt -1) 4) 0) (+ (* 0 0) (* 0 1))) into 0 5.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 5.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt -1) 4)) (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))) (* 0 (/ 0 (pow (sqrt -1) 4))))) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (+ 0 0) into 0 5.983 * [backup-simplify]: Simplify (+ 0 0) into 0 5.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 5.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 5.987 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow (sqrt -1) 2)))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.988 * [backup-simplify]: Simplify (+ 0 0) into 0 5.989 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))))) into 0 5.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow (sqrt -1) 2))))) into 0 5.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.995 * [backup-simplify]: Simplify (+ 0 0) into 0 5.995 * [backup-simplify]: Simplify (+ 0 0) into 0 5.999 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 6.002 * [backup-simplify]: Simplify (- (/ 0 (sqrt -1)) (+ (* (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)) (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))) (* 0 (/ 0 (sqrt -1))))) into 0 6.006 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (+ (/ 1 (pow (sqrt -1) 4)) (+ (* 2 (/ 1 (pow (sqrt -1) 2))) 2)) (sqrt -1)))))) into 0 6.006 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.007 * * * [progress]: simplifying candidates 6.028 * [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)) (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)) 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Extracting # 2 : cost 0 6.063 * * [simplify]: Extracting # 3 : cost 0 6.065 * * [simplify]: Extracting # 4 : cost 0 6.066 * * [simplify]: Extracting # 5 : cost 0 6.067 * * [simplify]: Extracting # 6 : cost 0 6.069 * * [simplify]: Extracting # 7 : cost 0 6.070 * * [simplify]: iteration 0 : 402 enodes (cost 13749 ) 6.205 * * [simplify]: Extracting # 0 : cost 0 6.207 * * [simplify]: Extracting # 1 : cost 0 6.208 * * [simplify]: Extracting # 2 : cost 0 6.208 * * [simplify]: Extracting # 3 : cost 0 6.209 * * [simplify]: Extracting # 4 : cost 0 6.210 * * [simplify]: iteration 1 : 737 enodes (cost 9524 ) 6.582 * * [simplify]: Extracting # 0 : cost 0 6.591 * * [simplify]: Extracting # 1 : cost 0 6.600 * * [simplify]: Extracting # 2 : cost 0 6.608 * * [simplify]: Extracting # 3 : cost 0 6.625 * * [simplify]: iteration 2 : 3638 enodes (cost 9270 ) 8.203 * * [simplify]: Extracting # 0 : cost 0 8.217 * * [simplify]: Extracting # 1 : cost 0 8.230 * * [simplify]: Extracting # 2 : cost 0 8.236 * * [simplify]: Extracting # 3 : cost 0 8.244 * * [simplify]: Extracting # 4 : cost 0 8.255 * * [simplify]: iteration done: 5000 enodes (cost 9211 ) 8.263 * [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))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt 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[regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 9.815 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 9.848 * * * * [regimes]: Trying to branch on n from (# # # #) 9.879 * * * * [regimes]: Trying to branch on f from (# # # #) 9.908 * * * [regime]: Found split indices: #