1.060 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.074 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.076 * * [simplify]: Extracting # 1 : cost 0 0.076 * * [simplify]: Extracting # 2 : cost 0 0.076 * * [simplify]: Extracting # 3 : cost 0 0.076 * * [simplify]: Extracting # 4 : cost 0 0.076 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: Extracting # 1 : cost 0 0.096 * * [simplify]: Extracting # 2 : cost 0 0.096 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: iteration 5 : 30 enodes (cost 8 ) 0.111 * * [simplify]: Extracting # 0 : cost 0 0.111 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.118 * * [simplify]: Extracting # 0 : cost 0 0.118 * * [simplify]: iteration done: 32 enodes (cost 8 ) 0.119 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.123 * * [progress]: iteration 1 / 4 0.123 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.268 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.268 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.269 * [taylor]: Taking taylor expansion of -1 in n 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.269 * [taylor]: Taking taylor expansion of (+ n f) in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [taylor]: Taking taylor expansion of f in n 0.269 * [backup-simplify]: Simplify f into f 0.270 * [taylor]: Taking taylor expansion of (- f n) in n 0.270 * [taylor]: Taking taylor expansion of f in n 0.270 * [backup-simplify]: Simplify f into f 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ 0 f) into f 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ f 0) into f 0.271 * [backup-simplify]: Simplify (/ f f) into 1 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.271 * [taylor]: Taking taylor expansion of -1 in f 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.272 * [taylor]: Taking taylor expansion of (+ n f) in f 0.272 * [taylor]: Taking taylor expansion of n in f 0.272 * [backup-simplify]: Simplify n into n 0.272 * [taylor]: Taking taylor expansion of f in f 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [taylor]: Taking taylor expansion of (- f n) in f 0.272 * [taylor]: Taking taylor expansion of f in f 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [taylor]: Taking taylor expansion of n in f 0.272 * [backup-simplify]: Simplify n into n 0.272 * [backup-simplify]: Simplify (+ n 0) into n 0.272 * [backup-simplify]: Simplify (- n) into (- n) 0.272 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.272 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.272 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.272 * [taylor]: Taking taylor expansion of -1 in f 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.272 * [taylor]: Taking taylor expansion of (+ n f) in f 0.272 * [taylor]: Taking taylor expansion of n in f 0.272 * [backup-simplify]: Simplify n into n 0.272 * [taylor]: Taking taylor expansion of f in f 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of (- f n) in f 0.273 * [taylor]: Taking taylor expansion of f in f 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of n in f 0.273 * [backup-simplify]: Simplify n into n 0.273 * [backup-simplify]: Simplify (+ n 0) into n 0.273 * [backup-simplify]: Simplify (- n) into (- n) 0.273 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.273 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.274 * [backup-simplify]: Simplify (* -1 -1) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in n 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (+ 0 1) into 1 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.278 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.278 * [taylor]: Taking taylor expansion of 2 in n 0.278 * [backup-simplify]: Simplify 2 into 2 0.278 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.284 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.284 * [taylor]: Taking taylor expansion of 2 in n 0.284 * [backup-simplify]: Simplify 2 into 2 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.284 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.284 * [taylor]: Taking taylor expansion of n in n 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [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)))) 0.307 * [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))) 0.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.308 * [taylor]: Taking taylor expansion of 2 in n 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.308 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.320 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.320 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.320 * [taylor]: Taking taylor expansion of -1 in n 0.320 * [backup-simplify]: Simplify -1 into -1 0.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.320 * [taylor]: Taking taylor expansion of f in n 0.320 * [backup-simplify]: Simplify f into f 0.320 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.321 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.321 * [taylor]: Taking taylor expansion of f in n 0.321 * [backup-simplify]: Simplify f into f 0.321 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.321 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (+ 0 1) into 1 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.324 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.324 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.324 * [taylor]: Taking taylor expansion of -1 in f 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.324 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.324 * [taylor]: Taking taylor expansion of f in f 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 0.324 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.324 * [taylor]: Taking taylor expansion of n in f 0.324 * [backup-simplify]: Simplify n into n 0.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.325 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.325 * [taylor]: Taking taylor expansion of f in f 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.325 * [taylor]: Taking taylor expansion of n in f 0.325 * [backup-simplify]: Simplify n into n 0.325 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.327 * [taylor]: Taking taylor expansion of -1 in f 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 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) 0.327 * [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 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.328 * [taylor]: Taking taylor expansion of n in f 0.328 * [backup-simplify]: Simplify n into n 0.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.329 * [backup-simplify]: Simplify (+ 1 0) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (* -1 1) into -1 0.330 * [taylor]: Taking taylor expansion of -1 in n 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [backup-simplify]: Simplify -1 into -1 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [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 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.341 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.341 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.342 * [taylor]: Taking taylor expansion of 2 in n 0.342 * [backup-simplify]: Simplify 2 into 2 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.342 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.355 * [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)))) 0.355 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.355 * [taylor]: Taking taylor expansion of 2 in n 0.355 * [backup-simplify]: Simplify 2 into 2 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.355 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.355 * [taylor]: Taking taylor expansion of n in n 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify -1 into -1 0.361 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.361 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.361 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.361 * [taylor]: Taking taylor expansion of f in n 0.361 * [backup-simplify]: Simplify f into f 0.361 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.362 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.362 * [taylor]: Taking taylor expansion of f in n 0.362 * [backup-simplify]: Simplify f into f 0.362 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.363 * [backup-simplify]: Simplify (+ 0 1) into 1 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.363 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.363 * [taylor]: Taking taylor expansion of f in f 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.363 * [taylor]: Taking taylor expansion of n in f 0.363 * [backup-simplify]: Simplify n into n 0.363 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.364 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.364 * [taylor]: Taking taylor expansion of n in f 0.364 * [backup-simplify]: Simplify n into n 0.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.364 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.364 * [taylor]: Taking taylor expansion of f in f 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (- 1) into -1 0.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.365 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.365 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.365 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.365 * [taylor]: Taking taylor expansion of f in f 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.365 * [taylor]: Taking taylor expansion of n in f 0.365 * [backup-simplify]: Simplify n into n 0.365 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.365 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.365 * [taylor]: Taking taylor expansion of n in f 0.365 * [backup-simplify]: Simplify n into n 0.365 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.365 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.365 * [taylor]: Taking taylor expansion of f in f 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.367 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.367 * [taylor]: Taking taylor expansion of -1 in n 0.367 * [backup-simplify]: Simplify -1 into -1 0.367 * [backup-simplify]: Simplify -1 into -1 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.368 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.368 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.368 * [taylor]: Taking taylor expansion of 2 in n 0.368 * [backup-simplify]: Simplify 2 into 2 0.368 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.372 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.372 * [taylor]: Taking taylor expansion of 2 in n 0.372 * [backup-simplify]: Simplify 2 into 2 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.372 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.372 * [taylor]: Taking taylor expansion of n in n 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [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)))) 0.382 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.382 * [taylor]: Taking taylor expansion of 2 in n 0.382 * [backup-simplify]: Simplify 2 into 2 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.382 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify -1 into -1 0.394 * * * [progress]: simplifying candidates 0.398 * [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 0.402 * * [simplify]: Extracting # 0 : cost 0 0.403 * * [simplify]: Extracting # 1 : cost 0 0.403 * * [simplify]: Extracting # 2 : cost 0 0.403 * * [simplify]: Extracting # 3 : cost 0 0.404 * * [simplify]: Extracting # 4 : cost 0 0.404 * * [simplify]: Extracting # 5 : cost 0 0.404 * * [simplify]: Extracting # 6 : cost 0 0.405 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.449 * * [simplify]: Extracting # 0 : cost 0 0.449 * * [simplify]: Extracting # 1 : cost 0 0.449 * * [simplify]: Extracting # 2 : cost 0 0.450 * * [simplify]: Extracting # 3 : cost 0 0.450 * * [simplify]: Extracting # 4 : cost 0 0.451 * * [simplify]: iteration 1 : 316 enodes (cost 1395 ) 0.547 * * [simplify]: Extracting # 0 : cost 0 0.550 * * [simplify]: Extracting # 1 : cost 0 0.553 * * [simplify]: Extracting # 2 : cost 0 0.556 * * [simplify]: Extracting # 3 : cost 0 0.559 * * [simplify]: iteration 2 : 1080 enodes (cost 1367 ) 1.064 * * [simplify]: Extracting # 0 : cost 0 1.090 * * [simplify]: Extracting # 1 : cost 0 1.100 * * [simplify]: Extracting # 2 : cost 0 1.106 * * [simplify]: Extracting # 3 : cost 0 1.112 * * [simplify]: Extracting # 4 : cost 0 1.117 * * [simplify]: Extracting # 5 : cost 0 1.129 * * [simplify]: iteration done: 5001 enodes (cost 1358 ) 1.131 * [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 1.132 * * * [progress]: adding candidates to table 1.364 * * [progress]: iteration 2 / 4 1.364 * * * [progress]: picking best candidate 1.370 * * * * [pick]: Picked # 1.370 * * * [progress]: localizing error 1.381 * * * [progress]: generating rewritten candidates 1.381 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.426 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.553 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.704 * * * [progress]: generating series expansions 1.704 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.705 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.705 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.705 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.705 * [taylor]: Taking taylor expansion of -1 in n 1.705 * [backup-simplify]: Simplify -1 into -1 1.705 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.705 * [taylor]: Taking taylor expansion of (+ n f) in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [taylor]: Taking taylor expansion of f in n 1.705 * [backup-simplify]: Simplify f into f 1.705 * [taylor]: Taking taylor expansion of (- f n) in n 1.705 * [taylor]: Taking taylor expansion of f in n 1.705 * [backup-simplify]: Simplify f into f 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (+ 0 f) into f 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ f 0) into f 1.706 * [backup-simplify]: Simplify (/ f f) into 1 1.706 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.706 * [taylor]: Taking taylor expansion of -1 in f 1.706 * [backup-simplify]: Simplify -1 into -1 1.706 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.706 * [taylor]: Taking taylor expansion of (+ n f) in f 1.706 * [taylor]: Taking taylor expansion of n in f 1.706 * [backup-simplify]: Simplify n into n 1.706 * [taylor]: Taking taylor expansion of f in f 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of (- f n) in f 1.706 * [taylor]: Taking taylor expansion of f in f 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of n in f 1.706 * [backup-simplify]: Simplify n into n 1.707 * [backup-simplify]: Simplify (+ n 0) into n 1.707 * [backup-simplify]: Simplify (- n) into (- n) 1.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.707 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.707 * [taylor]: Taking taylor expansion of -1 in f 1.707 * [backup-simplify]: Simplify -1 into -1 1.707 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.707 * [taylor]: Taking taylor expansion of (+ n f) in f 1.707 * [taylor]: Taking taylor expansion of n in f 1.707 * [backup-simplify]: Simplify n into n 1.707 * [taylor]: Taking taylor expansion of f in f 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [taylor]: Taking taylor expansion of (- f n) in f 1.707 * [taylor]: Taking taylor expansion of f in f 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [taylor]: Taking taylor expansion of n in f 1.707 * [backup-simplify]: Simplify n into n 1.707 * [backup-simplify]: Simplify (+ n 0) into n 1.707 * [backup-simplify]: Simplify (- n) into (- n) 1.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.707 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.708 * [backup-simplify]: Simplify (* -1 -1) into 1 1.708 * [taylor]: Taking taylor expansion of 1 in n 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (+ 0 1) into 1 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.709 * [backup-simplify]: Simplify (+ 1 0) into 1 1.709 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.710 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.710 * [taylor]: Taking taylor expansion of 2 in n 1.710 * [backup-simplify]: Simplify 2 into 2 1.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.715 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.715 * [taylor]: Taking taylor expansion of 2 in n 1.715 * [backup-simplify]: Simplify 2 into 2 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.715 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [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)))) 1.726 * [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))) 1.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.726 * [taylor]: Taking taylor expansion of 2 in n 1.726 * [backup-simplify]: Simplify 2 into 2 1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.726 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (* 1 1) into 1 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.727 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.737 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.737 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.737 * [taylor]: Taking taylor expansion of -1 in n 1.737 * [backup-simplify]: Simplify -1 into -1 1.737 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.737 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.737 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.737 * [taylor]: Taking taylor expansion of f in n 1.737 * [backup-simplify]: Simplify f into f 1.737 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.737 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.738 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.738 * [taylor]: Taking taylor expansion of f in n 1.738 * [backup-simplify]: Simplify f into f 1.738 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [backup-simplify]: Simplify (+ 0 1) into 1 1.739 * [backup-simplify]: Simplify (- 1) into -1 1.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.740 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.740 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.740 * [taylor]: Taking taylor expansion of -1 in f 1.740 * [backup-simplify]: Simplify -1 into -1 1.740 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.740 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.740 * [taylor]: Taking taylor expansion of f in f 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ 1 1) into 1 1.741 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.741 * [taylor]: Taking taylor expansion of n in f 1.741 * [backup-simplify]: Simplify n into n 1.741 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.741 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.741 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.741 * [taylor]: Taking taylor expansion of f in f 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (/ 1 1) into 1 1.742 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.742 * [taylor]: Taking taylor expansion of n in f 1.742 * [backup-simplify]: Simplify n into n 1.742 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.742 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.743 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.743 * [taylor]: Taking taylor expansion of -1 in f 1.743 * [backup-simplify]: Simplify -1 into -1 1.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.743 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.743 * [taylor]: Taking taylor expansion of f in f 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.744 * [taylor]: Taking taylor expansion of n in f 1.744 * [backup-simplify]: Simplify n into n 1.744 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.744 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.744 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.744 * [taylor]: Taking taylor expansion of f in f 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.745 * [taylor]: Taking taylor expansion of n in f 1.745 * [backup-simplify]: Simplify n into n 1.745 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.745 * [backup-simplify]: Simplify (+ 1 0) into 1 1.745 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [backup-simplify]: Simplify (* -1 1) into -1 1.746 * [taylor]: Taking taylor expansion of -1 in n 1.746 * [backup-simplify]: Simplify -1 into -1 1.746 * [backup-simplify]: Simplify -1 into -1 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.748 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.749 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.749 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.749 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.749 * [taylor]: Taking taylor expansion of 2 in n 1.749 * [backup-simplify]: Simplify 2 into 2 1.749 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.752 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.757 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.757 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.757 * [taylor]: Taking taylor expansion of 2 in n 1.757 * [backup-simplify]: Simplify 2 into 2 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.757 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.757 * [taylor]: Taking taylor expansion of n in n 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.758 * [backup-simplify]: Simplify (/ 1 1) into 1 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.764 * [backup-simplify]: Simplify (- 0) into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.766 * [backup-simplify]: Simplify (- 0) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [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))) 1.772 * [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)))) 1.773 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.773 * [taylor]: Taking taylor expansion of 2 in n 1.773 * [backup-simplify]: Simplify 2 into 2 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.773 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (* 1 1) into 1 1.774 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify -1 into -1 1.790 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.790 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.790 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.790 * [taylor]: Taking taylor expansion of f in n 1.790 * [backup-simplify]: Simplify f into f 1.790 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.791 * [taylor]: Taking taylor expansion of n in n 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.791 * [taylor]: Taking taylor expansion of n in n 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.792 * [taylor]: Taking taylor expansion of f in n 1.792 * [backup-simplify]: Simplify f into f 1.792 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.792 * [backup-simplify]: Simplify (+ 0 1) into 1 1.793 * [backup-simplify]: Simplify (+ 1 0) into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.793 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.793 * [taylor]: Taking taylor expansion of f in f 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.794 * [taylor]: Taking taylor expansion of n in f 1.794 * [backup-simplify]: Simplify n into n 1.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.794 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.794 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.794 * [taylor]: Taking taylor expansion of n in f 1.794 * [backup-simplify]: Simplify n into n 1.794 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.794 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.794 * [taylor]: Taking taylor expansion of f in f 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.795 * [backup-simplify]: Simplify (+ 1 0) into 1 1.795 * [backup-simplify]: Simplify (- 1) into -1 1.795 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.795 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.795 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.795 * [taylor]: Taking taylor expansion of f in f 1.795 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.796 * [taylor]: Taking taylor expansion of n in f 1.796 * [backup-simplify]: Simplify n into n 1.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.796 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.796 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.796 * [taylor]: Taking taylor expansion of n in f 1.796 * [backup-simplify]: Simplify n into n 1.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.796 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.796 * [taylor]: Taking taylor expansion of f in f 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [backup-simplify]: Simplify (+ 1 0) into 1 1.797 * [backup-simplify]: Simplify (- 1) into -1 1.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.797 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.797 * [taylor]: Taking taylor expansion of -1 in n 1.797 * [backup-simplify]: Simplify -1 into -1 1.797 * [backup-simplify]: Simplify -1 into -1 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.799 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.799 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.799 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.799 * [taylor]: Taking taylor expansion of 2 in n 1.799 * [backup-simplify]: Simplify 2 into 2 1.799 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.799 * [taylor]: Taking taylor expansion of n in n 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (/ 1 1) into 1 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.803 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.803 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.803 * [taylor]: Taking taylor expansion of 2 in n 1.803 * [backup-simplify]: Simplify 2 into 2 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.803 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.803 * [taylor]: Taking taylor expansion of n in n 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.807 * [backup-simplify]: Simplify (- 0) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify (- 0) into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [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)))) 1.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.811 * [taylor]: Taking taylor expansion of 2 in n 1.811 * [backup-simplify]: Simplify 2 into 2 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.811 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.811 * [taylor]: Taking taylor expansion of n in n 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (/ 1 1) into 1 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify -1 into -1 1.817 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.818 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 1.818 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.818 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.818 * [taylor]: Taking taylor expansion of -1 in n 1.818 * [backup-simplify]: Simplify -1 into -1 1.818 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.818 * [taylor]: Taking taylor expansion of (+ n f) in n 1.818 * [taylor]: Taking taylor expansion of n in n 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [taylor]: Taking taylor expansion of f in n 1.818 * [backup-simplify]: Simplify f into f 1.818 * [taylor]: Taking taylor expansion of (- f n) in n 1.818 * [taylor]: Taking taylor expansion of f in n 1.818 * [backup-simplify]: Simplify f into f 1.818 * [taylor]: Taking taylor expansion of n in n 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (+ 0 f) into f 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify (+ f 0) into f 1.818 * [backup-simplify]: Simplify (/ f f) into 1 1.818 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.818 * [taylor]: Taking taylor expansion of -1 in f 1.818 * [backup-simplify]: Simplify -1 into -1 1.818 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.818 * [taylor]: Taking taylor expansion of (+ n f) in f 1.818 * [taylor]: Taking taylor expansion of n in f 1.818 * [backup-simplify]: Simplify n into n 1.818 * [taylor]: Taking taylor expansion of f in f 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [taylor]: Taking taylor expansion of (- f n) in f 1.818 * [taylor]: Taking taylor expansion of f in f 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of n in f 1.819 * [backup-simplify]: Simplify n into n 1.819 * [backup-simplify]: Simplify (+ n 0) into n 1.819 * [backup-simplify]: Simplify (- n) into (- n) 1.819 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.819 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.819 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.819 * [taylor]: Taking taylor expansion of -1 in f 1.819 * [backup-simplify]: Simplify -1 into -1 1.819 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.819 * [taylor]: Taking taylor expansion of (+ n f) in f 1.819 * [taylor]: Taking taylor expansion of n in f 1.819 * [backup-simplify]: Simplify n into n 1.819 * [taylor]: Taking taylor expansion of f in f 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of (- f n) in f 1.819 * [taylor]: Taking taylor expansion of f in f 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [taylor]: Taking taylor expansion of n in f 1.819 * [backup-simplify]: Simplify n into n 1.819 * [backup-simplify]: Simplify (+ n 0) into n 1.819 * [backup-simplify]: Simplify (- n) into (- n) 1.819 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.819 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.819 * [backup-simplify]: Simplify (* -1 -1) into 1 1.819 * [taylor]: Taking taylor expansion of 1 in n 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (+ 0 1) into 1 1.820 * [backup-simplify]: Simplify (- 0) into 0 1.820 * [backup-simplify]: Simplify (+ 1 0) into 1 1.820 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.821 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.821 * [taylor]: Taking taylor expansion of 2 in n 1.821 * [backup-simplify]: Simplify 2 into 2 1.821 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.821 * [taylor]: Taking taylor expansion of n in n 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ 1 1) into 1 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.824 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.824 * [taylor]: Taking taylor expansion of 2 in n 1.824 * [backup-simplify]: Simplify 2 into 2 1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.825 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [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)))) 1.835 * [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))) 1.835 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.835 * [taylor]: Taking taylor expansion of 2 in n 1.835 * [backup-simplify]: Simplify 2 into 2 1.835 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.835 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.835 * [taylor]: Taking taylor expansion of n in n 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.846 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.846 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.846 * [taylor]: Taking taylor expansion of -1 in n 1.846 * [backup-simplify]: Simplify -1 into -1 1.846 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.846 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.846 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.846 * [taylor]: Taking taylor expansion of f in n 1.846 * [backup-simplify]: Simplify f into f 1.846 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.846 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.847 * [taylor]: Taking taylor expansion of n in n 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.847 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.847 * [taylor]: Taking taylor expansion of f in n 1.847 * [backup-simplify]: Simplify f into f 1.847 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.847 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.847 * [taylor]: Taking taylor expansion of n in n 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.848 * [backup-simplify]: Simplify (+ 0 1) into 1 1.848 * [backup-simplify]: Simplify (- 1) into -1 1.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.849 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.849 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.849 * [taylor]: Taking taylor expansion of -1 in f 1.849 * [backup-simplify]: Simplify -1 into -1 1.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.849 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.850 * [taylor]: Taking taylor expansion of f in f 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.850 * [taylor]: Taking taylor expansion of n in f 1.850 * [backup-simplify]: Simplify n into n 1.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.850 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.850 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.850 * [taylor]: Taking taylor expansion of f in f 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.851 * [taylor]: Taking taylor expansion of n in f 1.851 * [backup-simplify]: Simplify n into n 1.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.851 * [backup-simplify]: Simplify (+ 1 0) into 1 1.852 * [backup-simplify]: Simplify (+ 1 0) into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.852 * [taylor]: Taking taylor expansion of -1 in f 1.852 * [backup-simplify]: Simplify -1 into -1 1.852 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.852 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.852 * [taylor]: Taking taylor expansion of f in f 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (/ 1 1) into 1 1.853 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.853 * [taylor]: Taking taylor expansion of n in f 1.853 * [backup-simplify]: Simplify n into n 1.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.853 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.853 * [taylor]: Taking taylor expansion of f in f 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (/ 1 1) into 1 1.853 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.853 * [taylor]: Taking taylor expansion of n in f 1.853 * [backup-simplify]: Simplify n into n 1.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.854 * [backup-simplify]: Simplify (+ 1 0) into 1 1.854 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (* -1 1) into -1 1.855 * [taylor]: Taking taylor expansion of -1 in n 1.855 * [backup-simplify]: Simplify -1 into -1 1.855 * [backup-simplify]: Simplify -1 into -1 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.857 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.857 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.858 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.858 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.858 * [taylor]: Taking taylor expansion of 2 in n 1.858 * [backup-simplify]: Simplify 2 into 2 1.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.866 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.866 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.866 * [taylor]: Taking taylor expansion of 2 in n 1.866 * [backup-simplify]: Simplify 2 into 2 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [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))) 1.880 * [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)))) 1.880 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.880 * [taylor]: Taking taylor expansion of 2 in n 1.880 * [backup-simplify]: Simplify 2 into 2 1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.880 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.880 * [taylor]: Taking taylor expansion of n in n 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify -1 into -1 1.891 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.892 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.892 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.892 * [taylor]: Taking taylor expansion of f in n 1.892 * [backup-simplify]: Simplify f into f 1.892 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.892 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.893 * [taylor]: Taking taylor expansion of f in n 1.893 * [backup-simplify]: Simplify f into f 1.893 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.893 * [backup-simplify]: Simplify (+ 0 1) into 1 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.894 * [taylor]: Taking taylor expansion of f in f 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.895 * [taylor]: Taking taylor expansion of n in f 1.895 * [backup-simplify]: Simplify n into n 1.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.895 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.895 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.895 * [taylor]: Taking taylor expansion of n in f 1.895 * [backup-simplify]: Simplify n into n 1.895 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.895 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.895 * [taylor]: Taking taylor expansion of f in f 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify (- 1) into -1 1.897 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.897 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.898 * [taylor]: Taking taylor expansion of f in f 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.898 * [taylor]: Taking taylor expansion of n in f 1.898 * [backup-simplify]: Simplify n into n 1.898 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.898 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.898 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.898 * [taylor]: Taking taylor expansion of n in f 1.898 * [backup-simplify]: Simplify n into n 1.898 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.898 * [taylor]: Taking taylor expansion of f in f 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [backup-simplify]: Simplify (+ 1 0) into 1 1.900 * [backup-simplify]: Simplify (- 1) into -1 1.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.901 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.901 * [taylor]: Taking taylor expansion of -1 in n 1.901 * [backup-simplify]: Simplify -1 into -1 1.901 * [backup-simplify]: Simplify -1 into -1 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.903 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.904 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.904 * [taylor]: Taking taylor expansion of 2 in n 1.904 * [backup-simplify]: Simplify 2 into 2 1.904 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.911 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.911 * [taylor]: Taking taylor expansion of 2 in n 1.911 * [backup-simplify]: Simplify 2 into 2 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.911 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (* 1 1) into 1 1.917 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [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)))) 1.931 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.931 * [taylor]: Taking taylor expansion of 2 in n 1.931 * [backup-simplify]: Simplify 2 into 2 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.931 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.931 * [taylor]: Taking taylor expansion of n in n 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.942 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 1.942 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.942 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.943 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.943 * [taylor]: Taking taylor expansion of -1 in n 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.943 * [taylor]: Taking taylor expansion of (+ n f) in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [taylor]: Taking taylor expansion of f in n 1.943 * [backup-simplify]: Simplify f into f 1.943 * [taylor]: Taking taylor expansion of (- f n) in n 1.943 * [taylor]: Taking taylor expansion of f in n 1.943 * [backup-simplify]: Simplify f into f 1.943 * [taylor]: Taking taylor expansion of n in n 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (+ 0 f) into f 1.943 * [backup-simplify]: Simplify (- 0) into 0 1.943 * [backup-simplify]: Simplify (+ f 0) into f 1.944 * [backup-simplify]: Simplify (/ f f) into 1 1.944 * [backup-simplify]: Simplify (* -1 1) into -1 1.945 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.945 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.945 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.945 * [taylor]: Taking taylor expansion of -1 in f 1.945 * [backup-simplify]: Simplify -1 into -1 1.945 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.945 * [taylor]: Taking taylor expansion of (+ n f) in f 1.945 * [taylor]: Taking taylor expansion of n in f 1.945 * [backup-simplify]: Simplify n into n 1.945 * [taylor]: Taking taylor expansion of f in f 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of (- f n) in f 1.945 * [taylor]: Taking taylor expansion of f in f 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [taylor]: Taking taylor expansion of n in f 1.945 * [backup-simplify]: Simplify n into n 1.945 * [backup-simplify]: Simplify (+ n 0) into n 1.945 * [backup-simplify]: Simplify (- n) into (- n) 1.945 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.945 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.946 * [backup-simplify]: Simplify (* -1 -1) into 1 1.946 * [backup-simplify]: Simplify (exp 1) into E 1.946 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.946 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.946 * [taylor]: Taking taylor expansion of -1 in f 1.946 * [backup-simplify]: Simplify -1 into -1 1.946 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.946 * [taylor]: Taking taylor expansion of (+ n f) in f 1.946 * [taylor]: Taking taylor expansion of n in f 1.946 * [backup-simplify]: Simplify n into n 1.946 * [taylor]: Taking taylor expansion of f in f 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of (- f n) in f 1.946 * [taylor]: Taking taylor expansion of f in f 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of n in f 1.946 * [backup-simplify]: Simplify n into n 1.946 * [backup-simplify]: Simplify (+ n 0) into n 1.946 * [backup-simplify]: Simplify (- n) into (- n) 1.947 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.947 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.947 * [backup-simplify]: Simplify (* -1 -1) into 1 1.947 * [backup-simplify]: Simplify (exp 1) into E 1.947 * [taylor]: Taking taylor expansion of E in n 1.947 * [backup-simplify]: Simplify E into E 1.947 * [backup-simplify]: Simplify E into E 1.948 * [backup-simplify]: Simplify (+ 0 1) into 1 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify (+ 1 0) into 1 1.949 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.950 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.951 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.951 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.951 * [taylor]: Taking taylor expansion of 2 in n 1.951 * [backup-simplify]: Simplify 2 into 2 1.951 * [taylor]: Taking taylor expansion of (/ E n) in n 1.951 * [taylor]: Taking taylor expansion of E in n 1.951 * [backup-simplify]: Simplify E into E 1.951 * [taylor]: Taking taylor expansion of n in n 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ E 1) into E 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (- 0) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.956 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.956 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 1.956 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.956 * [taylor]: Taking taylor expansion of 4 in n 1.956 * [backup-simplify]: Simplify 4 into 4 1.956 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.957 * [taylor]: Taking taylor expansion of E in n 1.957 * [backup-simplify]: Simplify E into E 1.957 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.957 * [taylor]: Taking taylor expansion of n in n 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (/ E 1) into E 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [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)))) 1.968 * [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))) 1.969 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 1.970 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.970 * [taylor]: Taking taylor expansion of 22/3 in n 1.970 * [backup-simplify]: Simplify 22/3 into 22/3 1.970 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.970 * [taylor]: Taking taylor expansion of E in n 1.970 * [backup-simplify]: Simplify E into E 1.970 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.970 * [taylor]: Taking taylor expansion of n in n 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* 1 1) into 1 1.971 * [backup-simplify]: Simplify (* 1 1) into 1 1.971 * [backup-simplify]: Simplify (/ E 1) into E 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify E into E 1.982 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1.982 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.982 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.982 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.982 * [taylor]: Taking taylor expansion of -1 in n 1.982 * [backup-simplify]: Simplify -1 into -1 1.982 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.982 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.982 * [taylor]: Taking taylor expansion of f in n 1.982 * [backup-simplify]: Simplify f into f 1.982 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.982 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.982 * [taylor]: Taking taylor expansion of n in n 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.983 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.983 * [taylor]: Taking taylor expansion of f in n 1.983 * [backup-simplify]: Simplify f into f 1.983 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.983 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.983 * [taylor]: Taking taylor expansion of n in n 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.984 * [backup-simplify]: Simplify (+ 0 1) into 1 1.984 * [backup-simplify]: Simplify (- 1) into -1 1.985 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.985 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.986 * [backup-simplify]: Simplify (* -1 -1) into 1 1.986 * [backup-simplify]: Simplify (exp 1) into E 1.986 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.986 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.986 * [taylor]: Taking taylor expansion of -1 in f 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.986 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.986 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.986 * [taylor]: Taking taylor expansion of f in f 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.986 * [taylor]: Taking taylor expansion of n in f 1.986 * [backup-simplify]: Simplify n into n 1.987 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.987 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.987 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.987 * [taylor]: Taking taylor expansion of f in f 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.987 * [taylor]: Taking taylor expansion of n in f 1.987 * [backup-simplify]: Simplify n into n 1.987 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.988 * [backup-simplify]: Simplify (+ 1 0) into 1 1.988 * [backup-simplify]: Simplify (+ 1 0) into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [backup-simplify]: Simplify (* -1 1) into -1 1.989 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.989 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.989 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.989 * [taylor]: Taking taylor expansion of -1 in f 1.990 * [backup-simplify]: Simplify -1 into -1 1.990 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.990 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.990 * [taylor]: Taking taylor expansion of f in f 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.990 * [taylor]: Taking taylor expansion of n in f 1.990 * [backup-simplify]: Simplify n into n 1.990 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.990 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.990 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.990 * [taylor]: Taking taylor expansion of f in f 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.991 * [taylor]: Taking taylor expansion of n in f 1.991 * [backup-simplify]: Simplify n into n 1.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.991 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (* -1 1) into -1 1.993 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.993 * [taylor]: Taking taylor expansion of (exp -1) in n 1.993 * [taylor]: Taking taylor expansion of -1 in n 1.993 * [backup-simplify]: Simplify -1 into -1 1.994 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.994 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.996 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.996 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.997 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.998 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.998 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 1.998 * [taylor]: Taking taylor expansion of -2 in n 1.998 * [backup-simplify]: Simplify -2 into -2 1.998 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.998 * [taylor]: Taking taylor expansion of (exp -1) in n 1.998 * [taylor]: Taking taylor expansion of -1 in n 1.998 * [backup-simplify]: Simplify -1 into -1 1.998 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.998 * [taylor]: Taking taylor expansion of n in n 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.001 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.008 * [backup-simplify]: Simplify (- 0) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.010 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 2.011 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.011 * [taylor]: Taking taylor expansion of 0 in n 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [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))) 2.025 * [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)))) 2.026 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.026 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.026 * [taylor]: Taking taylor expansion of 2/3 in n 2.026 * [backup-simplify]: Simplify 2/3 into 2/3 2.026 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.026 * [taylor]: Taking taylor expansion of (exp -1) in n 2.026 * [taylor]: Taking taylor expansion of -1 in n 2.026 * [backup-simplify]: Simplify -1 into -1 2.027 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.027 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.027 * [taylor]: Taking taylor expansion of n in n 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.031 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.042 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.042 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.042 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.042 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.042 * [taylor]: Taking taylor expansion of f in n 2.042 * [backup-simplify]: Simplify f into f 2.042 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.042 * [taylor]: Taking taylor expansion of n in n 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.042 * [taylor]: Taking taylor expansion of n in n 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.043 * [taylor]: Taking taylor expansion of f in n 2.043 * [backup-simplify]: Simplify f into f 2.043 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.043 * [backup-simplify]: Simplify (+ 0 1) into 1 2.043 * [backup-simplify]: Simplify (+ 1 0) into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [backup-simplify]: Simplify (exp 1) into E 2.044 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.044 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.044 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.044 * [taylor]: Taking taylor expansion of f in f 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.044 * [taylor]: Taking taylor expansion of n in f 2.044 * [backup-simplify]: Simplify n into n 2.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.044 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.044 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.044 * [taylor]: Taking taylor expansion of n in f 2.044 * [backup-simplify]: Simplify n into n 2.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.044 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.044 * [taylor]: Taking taylor expansion of f in f 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [backup-simplify]: Simplify (+ 1 0) into 1 2.045 * [backup-simplify]: Simplify (- 1) into -1 2.045 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.046 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.046 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.046 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.046 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.046 * [taylor]: Taking taylor expansion of f in f 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.046 * [taylor]: Taking taylor expansion of n in f 2.046 * [backup-simplify]: Simplify n into n 2.046 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.046 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.046 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.046 * [taylor]: Taking taylor expansion of n in f 2.046 * [backup-simplify]: Simplify n into n 2.046 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.046 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.046 * [taylor]: Taking taylor expansion of f in f 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (/ 1 1) into 1 2.047 * [backup-simplify]: Simplify (+ 1 0) into 1 2.047 * [backup-simplify]: Simplify (- 1) into -1 2.047 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.048 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.048 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.048 * [taylor]: Taking taylor expansion of (exp -1) in n 2.048 * [taylor]: Taking taylor expansion of -1 in n 2.048 * [backup-simplify]: Simplify -1 into -1 2.048 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.049 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.050 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.050 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 2.050 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 2.051 * [taylor]: Taking taylor expansion of -2 in n 2.051 * [backup-simplify]: Simplify -2 into -2 2.051 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 2.051 * [taylor]: Taking taylor expansion of (exp -1) in n 2.051 * [taylor]: Taking taylor expansion of -1 in n 2.051 * [backup-simplify]: Simplify -1 into -1 2.051 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.051 * [taylor]: Taking taylor expansion of n in n 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.052 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.057 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 2.057 * [taylor]: Taking taylor expansion of 0 in n 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [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)))) 2.069 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 2.069 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 2.069 * [taylor]: Taking taylor expansion of 2/3 in n 2.069 * [backup-simplify]: Simplify 2/3 into 2/3 2.069 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 2.069 * [taylor]: Taking taylor expansion of (exp -1) in n 2.069 * [taylor]: Taking taylor expansion of -1 in n 2.069 * [backup-simplify]: Simplify -1 into -1 2.070 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.070 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.070 * [taylor]: Taking taylor expansion of n in n 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 2.074 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.084 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (exp -1) into (exp -1) 2.088 * * * [progress]: simplifying candidates 2.095 * [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))) (/ 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(sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ (- (+ f n)) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 2.104 * * [simplify]: Extracting # 0 : cost 0 2.104 * * [simplify]: Extracting # 1 : cost 0 2.105 * * [simplify]: Extracting # 2 : cost 0 2.105 * * [simplify]: Extracting # 3 : cost 0 2.106 * * [simplify]: Extracting # 4 : cost 0 2.106 * * [simplify]: Extracting # 5 : cost 0 2.107 * * [simplify]: Extracting # 6 : cost 0 2.107 * * [simplify]: Extracting # 7 : cost 0 2.108 * * [simplify]: Extracting # 8 : cost 0 2.108 * * [simplify]: iteration 0 : 247 enodes (cost 3296 ) 2.193 * * [simplify]: Extracting # 0 : cost 0 2.197 * * [simplify]: Extracting # 1 : cost 0 2.198 * * [simplify]: Extracting # 2 : cost 0 2.198 * * [simplify]: Extracting # 3 : cost 0 2.198 * * [simplify]: Extracting # 4 : cost 0 2.199 * * [simplify]: iteration 1 : 450 enodes (cost 2917 ) 2.305 * * [simplify]: Extracting # 0 : cost 0 2.308 * * [simplify]: Extracting # 1 : cost 0 2.311 * * [simplify]: Extracting # 2 : cost 0 2.315 * * [simplify]: Extracting # 3 : cost 0 2.318 * * [simplify]: Extracting # 4 : cost 0 2.321 * * [simplify]: iteration 2 : 1358 enodes (cost 2847 ) 2.891 * * [simplify]: Extracting # 0 : cost 0 2.907 * * [simplify]: Extracting # 1 : cost 0 2.913 * * [simplify]: Extracting # 2 : cost 0 2.920 * * [simplify]: Extracting # 3 : cost 0 2.931 * * [simplify]: Extracting # 4 : cost 0 2.940 * * [simplify]: iteration done: 5001 enodes (cost 2827 ) 2.942 * [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 n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f 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(exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (- (/ 1 (- f n)))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 2.943 * * * [progress]: adding candidates to table 3.595 * * [progress]: iteration 3 / 4 3.595 * * * [progress]: picking best candidate 3.604 * * * * [pick]: Picked # 3.604 * * * [progress]: localizing error 3.626 * * * [progress]: generating rewritten candidates 3.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.627 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.662 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.678 * * * [progress]: generating series expansions 3.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.678 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 3.678 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 3.678 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 3.681 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.681 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.681 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.681 * [taylor]: Taking taylor expansion of -1 in n 3.681 * [backup-simplify]: Simplify -1 into -1 3.681 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.681 * [taylor]: Taking taylor expansion of (+ n f) in n 3.681 * [taylor]: Taking taylor expansion of n in n 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [taylor]: Taking taylor expansion of f in n 3.681 * [backup-simplify]: Simplify f into f 3.681 * [taylor]: Taking taylor expansion of (- f n) in n 3.681 * [taylor]: Taking taylor expansion of f in n 3.681 * [backup-simplify]: Simplify f into f 3.681 * [taylor]: Taking taylor expansion of n in n 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (+ 0 f) into f 3.682 * [backup-simplify]: Simplify (- 0) into 0 3.682 * [backup-simplify]: Simplify (+ f 0) into f 3.682 * [backup-simplify]: Simplify (/ f f) into 1 3.682 * [backup-simplify]: Simplify (* -1 1) into -1 3.683 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.683 * [taylor]: Taking taylor expansion of 1 in n 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 3.683 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.683 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.683 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.683 * [taylor]: Taking taylor expansion of -1 in f 3.683 * [backup-simplify]: Simplify -1 into -1 3.683 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.683 * [taylor]: Taking taylor expansion of (+ n f) in f 3.683 * [taylor]: Taking taylor expansion of n in f 3.683 * [backup-simplify]: Simplify n into n 3.683 * [taylor]: Taking taylor expansion of f in f 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (- f n) in f 3.683 * [taylor]: Taking taylor expansion of f in f 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of n in f 3.683 * [backup-simplify]: Simplify n into n 3.683 * [backup-simplify]: Simplify (+ n 0) into n 3.683 * [backup-simplify]: Simplify (- n) into (- n) 3.684 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.684 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.684 * [backup-simplify]: Simplify (* -1 -1) into 1 3.684 * [backup-simplify]: Simplify (exp 1) into E 3.684 * [taylor]: Taking taylor expansion of 1 in f 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 3.684 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.684 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.684 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.684 * [taylor]: Taking taylor expansion of -1 in f 3.684 * [backup-simplify]: Simplify -1 into -1 3.684 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.684 * [taylor]: Taking taylor expansion of (+ n f) in f 3.684 * [taylor]: Taking taylor expansion of n in f 3.684 * [backup-simplify]: Simplify n into n 3.684 * [taylor]: Taking taylor expansion of f in f 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of (- f n) in f 3.684 * [taylor]: Taking taylor expansion of f in f 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of n in f 3.685 * [backup-simplify]: Simplify n into n 3.685 * [backup-simplify]: Simplify (+ n 0) into n 3.685 * [backup-simplify]: Simplify (- n) into (- n) 3.685 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.685 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.685 * [backup-simplify]: Simplify (* -1 -1) into 1 3.685 * [backup-simplify]: Simplify (exp 1) into E 3.685 * [taylor]: Taking taylor expansion of 1 in f 3.685 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (- 1) into -1 3.686 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.686 * [taylor]: Taking taylor expansion of (- E 1) in n 3.686 * [taylor]: Taking taylor expansion of E in n 3.686 * [backup-simplify]: Simplify E into E 3.686 * [taylor]: Taking taylor expansion of 1 in n 3.686 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (- 1) into -1 3.687 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.687 * [backup-simplify]: Simplify (- E 1) into (- E 1) 3.688 * [backup-simplify]: Simplify (+ 0 1) into 1 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.689 * [backup-simplify]: Simplify (+ 1 0) into 1 3.689 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.689 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.690 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.690 * [backup-simplify]: Simplify (- 0) into 0 3.690 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 3.690 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 3.690 * [taylor]: Taking taylor expansion of 2 in n 3.690 * [backup-simplify]: Simplify 2 into 2 3.690 * [taylor]: Taking taylor expansion of (/ E n) in n 3.690 * [taylor]: Taking taylor expansion of E in n 3.690 * [backup-simplify]: Simplify E into E 3.690 * [taylor]: Taking taylor expansion of n in n 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (/ E 1) into E 3.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 3.701 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify (- 0) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (- 0) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.704 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.704 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.705 * [backup-simplify]: Simplify (- 0) into 0 3.705 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 3.705 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 3.705 * [taylor]: Taking taylor expansion of 4 in n 3.705 * [backup-simplify]: Simplify 4 into 4 3.705 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 3.705 * [taylor]: Taking taylor expansion of E in n 3.705 * [backup-simplify]: Simplify E into E 3.705 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.705 * [taylor]: Taking taylor expansion of n in n 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (/ E 1) into E 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (- 0) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.712 * [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))) 3.712 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.712 * [backup-simplify]: Simplify (- 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 3.713 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 3.713 * [taylor]: Taking taylor expansion of 22/3 in n 3.713 * [backup-simplify]: Simplify 22/3 into 22/3 3.713 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 3.713 * [taylor]: Taking taylor expansion of E in n 3.713 * [backup-simplify]: Simplify E into E 3.713 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.713 * [taylor]: Taking taylor expansion of n in n 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (/ E 1) into E 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify (- E 1) into (- E 1) 3.720 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 3.720 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 3.720 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.720 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.720 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.720 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.720 * [taylor]: Taking taylor expansion of -1 in n 3.720 * [backup-simplify]: Simplify -1 into -1 3.720 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.720 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.720 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.720 * [taylor]: Taking taylor expansion of f in n 3.720 * [backup-simplify]: Simplify f into f 3.720 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.720 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.720 * [taylor]: Taking taylor expansion of n in n 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.720 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.720 * [taylor]: Taking taylor expansion of f in n 3.720 * [backup-simplify]: Simplify f into f 3.720 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.720 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.720 * [taylor]: Taking taylor expansion of n in n 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (/ 1 1) into 1 3.721 * [backup-simplify]: Simplify (+ 0 1) into 1 3.721 * [backup-simplify]: Simplify (- 1) into -1 3.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.722 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.722 * [backup-simplify]: Simplify (* -1 -1) into 1 3.722 * [backup-simplify]: Simplify (exp 1) into E 3.722 * [taylor]: Taking taylor expansion of 1 in n 3.722 * [backup-simplify]: Simplify 1 into 1 3.722 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.722 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.722 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.722 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.722 * [taylor]: Taking taylor expansion of -1 in f 3.722 * [backup-simplify]: Simplify -1 into -1 3.722 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.722 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.722 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.722 * [taylor]: Taking taylor expansion of f in f 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.723 * [taylor]: Taking taylor expansion of n in f 3.723 * [backup-simplify]: Simplify n into n 3.723 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.723 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.723 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.723 * [taylor]: Taking taylor expansion of f in f 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.723 * [taylor]: Taking taylor expansion of n in f 3.723 * [backup-simplify]: Simplify n into n 3.723 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.723 * [backup-simplify]: Simplify (+ 1 0) into 1 3.724 * [backup-simplify]: Simplify (+ 1 0) into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (* -1 1) into -1 3.724 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.724 * [taylor]: Taking taylor expansion of 1 in f 3.724 * [backup-simplify]: Simplify 1 into 1 3.724 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.724 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.724 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.724 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.724 * [taylor]: Taking taylor expansion of -1 in f 3.725 * [backup-simplify]: Simplify -1 into -1 3.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.725 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.725 * [taylor]: Taking taylor expansion of f in f 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.725 * [taylor]: Taking taylor expansion of n in f 3.725 * [backup-simplify]: Simplify n into n 3.725 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.725 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.725 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.725 * [taylor]: Taking taylor expansion of f in f 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.725 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.725 * [taylor]: Taking taylor expansion of n in f 3.725 * [backup-simplify]: Simplify n into n 3.725 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.726 * [backup-simplify]: Simplify (+ 1 0) into 1 3.726 * [backup-simplify]: Simplify (+ 1 0) into 1 3.726 * [backup-simplify]: Simplify (/ 1 1) into 1 3.726 * [backup-simplify]: Simplify (* -1 1) into -1 3.727 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.727 * [taylor]: Taking taylor expansion of 1 in f 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (- 1) into -1 3.727 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.727 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 3.727 * [taylor]: Taking taylor expansion of (exp -1) in n 3.727 * [taylor]: Taking taylor expansion of -1 in n 3.727 * [backup-simplify]: Simplify -1 into -1 3.728 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.728 * [taylor]: Taking taylor expansion of 1 in n 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (- 1) into -1 3.728 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.729 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.730 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.730 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.731 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.731 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.731 * [backup-simplify]: Simplify (- 0) into 0 3.732 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 3.732 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 3.732 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 3.732 * [taylor]: Taking taylor expansion of 2 in n 3.732 * [backup-simplify]: Simplify 2 into 2 3.732 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.732 * [taylor]: Taking taylor expansion of (exp -1) in n 3.732 * [taylor]: Taking taylor expansion of -1 in n 3.732 * [backup-simplify]: Simplify -1 into -1 3.732 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.732 * [taylor]: Taking taylor expansion of n in n 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.733 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.733 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 3.735 * [backup-simplify]: Simplify (- 0) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.737 * [backup-simplify]: Simplify (- 0) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.740 * [backup-simplify]: Simplify (- 0) into 0 3.741 * [backup-simplify]: Simplify (+ 0 0) into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.742 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.743 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.743 * [backup-simplify]: Simplify (- 0) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [taylor]: Taking taylor expansion of 0 in n 3.743 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.746 * [backup-simplify]: Simplify (- 0) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.747 * [backup-simplify]: Simplify (- 0) into 0 3.748 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.749 * [backup-simplify]: Simplify (- 0) into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.751 * [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)))) 3.752 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.752 * [backup-simplify]: Simplify (- 0) into 0 3.753 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 3.753 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.753 * [taylor]: Taking taylor expansion of 2/3 in n 3.753 * [backup-simplify]: Simplify 2/3 into 2/3 3.753 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.753 * [taylor]: Taking taylor expansion of (exp -1) in n 3.753 * [taylor]: Taking taylor expansion of -1 in n 3.753 * [backup-simplify]: Simplify -1 into -1 3.753 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.753 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.753 * [taylor]: Taking taylor expansion of n in n 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.754 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.755 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.761 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.764 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 3.764 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 3.764 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.764 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.764 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.764 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.764 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.764 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.764 * [taylor]: Taking taylor expansion of f in n 3.764 * [backup-simplify]: Simplify f into f 3.764 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.764 * [taylor]: Taking taylor expansion of n in n 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.764 * [taylor]: Taking taylor expansion of n in n 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.764 * [taylor]: Taking taylor expansion of f in n 3.764 * [backup-simplify]: Simplify f into f 3.765 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.765 * [backup-simplify]: Simplify (+ 0 1) into 1 3.765 * [backup-simplify]: Simplify (+ 1 0) into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [backup-simplify]: Simplify (exp 1) into E 3.765 * [taylor]: Taking taylor expansion of 1 in n 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.765 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.765 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.766 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.766 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.766 * [taylor]: Taking taylor expansion of f in f 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.766 * [taylor]: Taking taylor expansion of n in f 3.766 * [backup-simplify]: Simplify n into n 3.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.766 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.766 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.766 * [taylor]: Taking taylor expansion of n in f 3.766 * [backup-simplify]: Simplify n into n 3.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.766 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.766 * [taylor]: Taking taylor expansion of f in f 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [backup-simplify]: Simplify (+ 1 0) into 1 3.767 * [backup-simplify]: Simplify (- 1) into -1 3.767 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.767 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.768 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.768 * [taylor]: Taking taylor expansion of 1 in f 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.768 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.768 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.768 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.768 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.768 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.768 * [taylor]: Taking taylor expansion of f in f 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.768 * [taylor]: Taking taylor expansion of n in f 3.768 * [backup-simplify]: Simplify n into n 3.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.768 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.768 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.768 * [taylor]: Taking taylor expansion of n in f 3.768 * [backup-simplify]: Simplify n into n 3.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.768 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.768 * [taylor]: Taking taylor expansion of f in f 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (/ 1 1) into 1 3.769 * [backup-simplify]: Simplify (+ 1 0) into 1 3.769 * [backup-simplify]: Simplify (- 1) into -1 3.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.770 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.770 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.770 * [taylor]: Taking taylor expansion of 1 in f 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (- 1) into -1 3.771 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.771 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 3.771 * [taylor]: Taking taylor expansion of (exp -1) in n 3.771 * [taylor]: Taking taylor expansion of -1 in n 3.771 * [backup-simplify]: Simplify -1 into -1 3.771 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.771 * [taylor]: Taking taylor expansion of 1 in n 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (- 1) into -1 3.772 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.772 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (- 0) into 0 3.774 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.774 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.774 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.775 * [backup-simplify]: Simplify (- 0) into 0 3.775 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 3.775 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 3.775 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 3.775 * [taylor]: Taking taylor expansion of 2 in n 3.775 * [backup-simplify]: Simplify 2 into 2 3.775 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.775 * [taylor]: Taking taylor expansion of (exp -1) in n 3.775 * [taylor]: Taking taylor expansion of -1 in n 3.775 * [backup-simplify]: Simplify -1 into -1 3.776 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.778 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 3.780 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.782 * [backup-simplify]: Simplify (- 0) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (- 0) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.788 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [taylor]: Taking taylor expansion of 0 in n 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.793 * [backup-simplify]: Simplify (- 0) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.795 * [backup-simplify]: Simplify (- 0) into 0 3.796 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (- 0) into 0 3.799 * [backup-simplify]: Simplify (+ 0 0) into 0 3.801 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.803 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.803 * [backup-simplify]: Simplify (- 0) into 0 3.804 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 3.804 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.804 * [taylor]: Taking taylor expansion of 2/3 in n 3.804 * [backup-simplify]: Simplify 2/3 into 2/3 3.804 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.804 * [taylor]: Taking taylor expansion of (exp -1) in n 3.804 * [taylor]: Taking taylor expansion of -1 in n 3.804 * [backup-simplify]: Simplify -1 into -1 3.805 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.805 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.805 * [taylor]: Taking taylor expansion of n in n 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (* 1 1) into 1 3.812 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.815 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.824 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.829 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.829 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 3.829 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 3.829 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 3.830 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 3.830 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 3.830 * [taylor]: Taking taylor expansion of 1 in n 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 3.830 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.830 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.830 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.830 * [taylor]: Taking taylor expansion of -1 in n 3.830 * [backup-simplify]: Simplify -1 into -1 3.830 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.830 * [taylor]: Taking taylor expansion of (+ n f) in n 3.830 * [taylor]: Taking taylor expansion of n in n 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [taylor]: Taking taylor expansion of f in n 3.830 * [backup-simplify]: Simplify f into f 3.830 * [taylor]: Taking taylor expansion of (- f n) in n 3.830 * [taylor]: Taking taylor expansion of f in n 3.830 * [backup-simplify]: Simplify f into f 3.830 * [taylor]: Taking taylor expansion of n in n 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (+ 0 f) into f 3.831 * [backup-simplify]: Simplify (- 0) into 0 3.831 * [backup-simplify]: Simplify (+ f 0) into f 3.831 * [backup-simplify]: Simplify (/ f f) into 1 3.831 * [backup-simplify]: Simplify (* -1 1) into -1 3.832 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.832 * [taylor]: Taking taylor expansion of 1 in n 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (- 1) into -1 3.833 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.834 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 3.835 * [backup-simplify]: Simplify (log (exp -1)) into -1 3.835 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 3.836 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 3.836 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 3.836 * [taylor]: Taking taylor expansion of 1 in f 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 3.836 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.836 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.836 * [taylor]: Taking taylor expansion of -1 in f 3.836 * [backup-simplify]: Simplify -1 into -1 3.836 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.836 * [taylor]: Taking taylor expansion of (+ n f) in f 3.836 * [taylor]: Taking taylor expansion of n in f 3.836 * [backup-simplify]: Simplify n into n 3.836 * [taylor]: Taking taylor expansion of f in f 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [taylor]: Taking taylor expansion of (- f n) in f 3.836 * [taylor]: Taking taylor expansion of f in f 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [taylor]: Taking taylor expansion of n in f 3.836 * [backup-simplify]: Simplify n into n 3.836 * [backup-simplify]: Simplify (+ n 0) into n 3.836 * [backup-simplify]: Simplify (- n) into (- n) 3.836 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.836 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.837 * [backup-simplify]: Simplify (* -1 -1) into 1 3.837 * [backup-simplify]: Simplify (exp 1) into E 3.837 * [taylor]: Taking taylor expansion of 1 in f 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (- 1) into -1 3.838 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.839 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 3.839 * [backup-simplify]: Simplify (log E) into 1 3.839 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 3.839 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 3.839 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 3.839 * [taylor]: Taking taylor expansion of 1 in f 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 3.839 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.839 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.839 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.839 * [taylor]: Taking taylor expansion of -1 in f 3.839 * [backup-simplify]: Simplify -1 into -1 3.839 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.839 * [taylor]: Taking taylor expansion of (+ n f) in f 3.839 * [taylor]: Taking taylor expansion of n in f 3.839 * [backup-simplify]: Simplify n into n 3.839 * [taylor]: Taking taylor expansion of f in f 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.840 * [taylor]: Taking taylor expansion of (- f n) in f 3.840 * [taylor]: Taking taylor expansion of f in f 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.840 * [taylor]: Taking taylor expansion of n in f 3.840 * [backup-simplify]: Simplify n into n 3.840 * [backup-simplify]: Simplify (+ n 0) into n 3.840 * [backup-simplify]: Simplify (- n) into (- n) 3.840 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.840 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.840 * [backup-simplify]: Simplify (* -1 -1) into 1 3.840 * [backup-simplify]: Simplify (exp 1) into E 3.840 * [taylor]: Taking taylor expansion of 1 in f 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (- 1) into -1 3.841 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.843 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 3.843 * [backup-simplify]: Simplify (log E) into 1 3.843 * [taylor]: Taking taylor expansion of 1 in n 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (+ 0 1) into 1 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.845 * [backup-simplify]: Simplify (+ 1 0) into 1 3.845 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.845 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.846 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.846 * [backup-simplify]: Simplify (- 0) into 0 3.846 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 3.846 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 3.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 3.848 * [taylor]: Taking taylor expansion of (/ 2 n) in n 3.848 * [taylor]: Taking taylor expansion of 2 in n 3.848 * [backup-simplify]: Simplify 2 into 2 3.848 * [taylor]: Taking taylor expansion of n in n 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (/ 2 1) into 2 3.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (- 0) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.853 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.853 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.854 * [backup-simplify]: Simplify (- 0) into 0 3.854 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 3.854 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 3.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 3.856 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 3.856 * [taylor]: Taking taylor expansion of 2 in n 3.856 * [backup-simplify]: Simplify 2 into 2 3.856 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.856 * [taylor]: Taking taylor expansion of n in n 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (* 1 1) into 1 3.857 * [backup-simplify]: Simplify (/ 2 1) into 2 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.863 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.864 * [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))) 3.865 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.865 * [backup-simplify]: Simplify (- 0) into 0 3.865 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 3.866 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 3.869 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 3.869 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 3.869 * [taylor]: Taking taylor expansion of 2 in n 3.869 * [backup-simplify]: Simplify 2 into 2 3.869 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.869 * [taylor]: Taking taylor expansion of n in n 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (* 1 1) into 1 3.870 * [backup-simplify]: Simplify (* 1 1) into 1 3.870 * [backup-simplify]: Simplify (/ 2 1) into 2 3.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 3.879 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 3.879 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 3.879 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 3.879 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 3.879 * [taylor]: Taking taylor expansion of 1 in n 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.879 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.879 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.879 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.879 * [taylor]: Taking taylor expansion of -1 in n 3.879 * [backup-simplify]: Simplify -1 into -1 3.879 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.879 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.879 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.879 * [taylor]: Taking taylor expansion of f in n 3.879 * [backup-simplify]: Simplify f into f 3.879 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.879 * [taylor]: Taking taylor expansion of n in n 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.880 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.880 * [taylor]: Taking taylor expansion of f in n 3.880 * [backup-simplify]: Simplify f into f 3.880 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.880 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.880 * [taylor]: Taking taylor expansion of n in n 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (/ 1 1) into 1 3.881 * [backup-simplify]: Simplify (+ 0 1) into 1 3.881 * [backup-simplify]: Simplify (- 1) into -1 3.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.882 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.882 * [backup-simplify]: Simplify (* -1 -1) into 1 3.882 * [backup-simplify]: Simplify (exp 1) into E 3.882 * [taylor]: Taking taylor expansion of 1 in n 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (- 1) into -1 3.883 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.884 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 3.884 * [backup-simplify]: Simplify (log E) into 1 3.884 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.885 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 3.885 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.885 * [taylor]: Taking taylor expansion of 1 in f 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.885 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.885 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.885 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.885 * [taylor]: Taking taylor expansion of -1 in f 3.885 * [backup-simplify]: Simplify -1 into -1 3.885 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.885 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.885 * [taylor]: Taking taylor expansion of f in f 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.886 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.886 * [taylor]: Taking taylor expansion of n in f 3.886 * [backup-simplify]: Simplify n into n 3.886 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.886 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.886 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.886 * [taylor]: Taking taylor expansion of f in f 3.886 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (/ 1 1) into 1 3.886 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.887 * [taylor]: Taking taylor expansion of n in f 3.887 * [backup-simplify]: Simplify n into n 3.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.887 * [backup-simplify]: Simplify (+ 1 0) into 1 3.887 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (/ 1 1) into 1 3.888 * [backup-simplify]: Simplify (* -1 1) into -1 3.889 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.889 * [taylor]: Taking taylor expansion of 1 in f 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (- 1) into -1 3.890 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.891 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 3.892 * [backup-simplify]: Simplify (log (exp -1)) into -1 3.892 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.892 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 3.892 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 3.892 * [taylor]: Taking taylor expansion of 1 in f 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.892 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.892 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.892 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.892 * [taylor]: Taking taylor expansion of -1 in f 3.893 * [backup-simplify]: Simplify -1 into -1 3.893 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.893 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.893 * [taylor]: Taking taylor expansion of f in f 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.893 * [taylor]: Taking taylor expansion of n in f 3.893 * [backup-simplify]: Simplify n into n 3.893 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.893 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.893 * [taylor]: Taking taylor expansion of f in f 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.894 * [backup-simplify]: Simplify (/ 1 1) into 1 3.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.894 * [taylor]: Taking taylor expansion of n in f 3.894 * [backup-simplify]: Simplify n into n 3.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.894 * [backup-simplify]: Simplify (+ 1 0) into 1 3.895 * [backup-simplify]: Simplify (+ 1 0) into 1 3.895 * [backup-simplify]: Simplify (/ 1 1) into 1 3.895 * [backup-simplify]: Simplify (* -1 1) into -1 3.896 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.896 * [taylor]: Taking taylor expansion of 1 in f 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (- 1) into -1 3.897 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.899 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 3.900 * [backup-simplify]: Simplify (log (exp -1)) into -1 3.900 * [taylor]: Taking taylor expansion of -1 in n 3.900 * [backup-simplify]: Simplify -1 into -1 3.900 * [backup-simplify]: Simplify -1 into -1 3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.902 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.902 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.902 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.903 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.904 * [backup-simplify]: Simplify (- 0) into 0 3.904 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 3.905 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 3.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 3.906 * [taylor]: Taking taylor expansion of (/ -2 n) in n 3.906 * [taylor]: Taking taylor expansion of -2 in n 3.906 * [backup-simplify]: Simplify -2 into -2 3.906 * [taylor]: Taking taylor expansion of n in n 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ -2 1) into -2 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.911 * [backup-simplify]: Simplify (- 0) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.913 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.914 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.915 * [backup-simplify]: Simplify (- 0) into 0 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 3.918 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 3.918 * [taylor]: Taking taylor expansion of -2 in n 3.918 * [backup-simplify]: Simplify -2 into -2 3.919 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.919 * [taylor]: Taking taylor expansion of n in n 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (/ -2 1) into -2 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.926 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.930 * [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)))) 3.932 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.932 * [backup-simplify]: Simplify (- 0) into 0 3.933 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 3.933 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.939 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 3.939 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 3.939 * [taylor]: Taking taylor expansion of -2 in n 3.939 * [backup-simplify]: Simplify -2 into -2 3.939 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.939 * [taylor]: Taking taylor expansion of n in n 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.940 * [backup-simplify]: Simplify (* 1 1) into 1 3.940 * [backup-simplify]: Simplify (/ -2 1) into -2 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify -1 into -1 3.949 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 3.949 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 3.949 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 3.949 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 3.949 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 3.949 * [taylor]: Taking taylor expansion of 1 in n 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.949 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.949 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.949 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.949 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.949 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.949 * [taylor]: Taking taylor expansion of f in n 3.949 * [backup-simplify]: Simplify f into f 3.949 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.949 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.949 * [taylor]: Taking taylor expansion of n in n 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (/ 1 1) into 1 3.950 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.950 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.950 * [taylor]: Taking taylor expansion of n in n 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (/ 1 1) into 1 3.950 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.950 * [taylor]: Taking taylor expansion of f in n 3.950 * [backup-simplify]: Simplify f into f 3.951 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.951 * [backup-simplify]: Simplify (+ 0 1) into 1 3.951 * [backup-simplify]: Simplify (+ 1 0) into 1 3.952 * [backup-simplify]: Simplify (/ 1 1) into 1 3.952 * [backup-simplify]: Simplify (exp 1) into E 3.952 * [taylor]: Taking taylor expansion of 1 in n 3.952 * [backup-simplify]: Simplify 1 into 1 3.952 * [backup-simplify]: Simplify (- 1) into -1 3.953 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.954 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 3.954 * [backup-simplify]: Simplify (log E) into 1 3.954 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.954 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 3.954 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.954 * [taylor]: Taking taylor expansion of 1 in f 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.954 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.954 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.954 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.954 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.954 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.955 * [taylor]: Taking taylor expansion of f in f 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (/ 1 1) into 1 3.955 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.955 * [taylor]: Taking taylor expansion of n in f 3.955 * [backup-simplify]: Simplify n into n 3.955 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.955 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.955 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.955 * [taylor]: Taking taylor expansion of n in f 3.955 * [backup-simplify]: Simplify n into n 3.955 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.955 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.956 * [taylor]: Taking taylor expansion of f in f 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (/ 1 1) into 1 3.956 * [backup-simplify]: Simplify (+ 1 0) into 1 3.957 * [backup-simplify]: Simplify (- 1) into -1 3.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.958 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.958 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.958 * [taylor]: Taking taylor expansion of 1 in f 3.958 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (- 1) into -1 3.959 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.965 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 3.967 * [backup-simplify]: Simplify (log (exp -1)) into -1 3.967 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.967 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 3.967 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 3.967 * [taylor]: Taking taylor expansion of 1 in f 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.967 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.967 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.967 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.967 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.967 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.968 * [taylor]: Taking taylor expansion of f in f 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ 1 1) into 1 3.968 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.968 * [taylor]: Taking taylor expansion of n in f 3.968 * [backup-simplify]: Simplify n into n 3.968 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.969 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.969 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.969 * [taylor]: Taking taylor expansion of n in f 3.969 * [backup-simplify]: Simplify n into n 3.969 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.969 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.969 * [taylor]: Taking taylor expansion of f in f 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [backup-simplify]: Simplify (+ 1 0) into 1 3.970 * [backup-simplify]: Simplify (- 1) into -1 3.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.971 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.972 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.972 * [taylor]: Taking taylor expansion of 1 in f 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.975 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 3.976 * [backup-simplify]: Simplify (log (exp -1)) into -1 3.976 * [taylor]: Taking taylor expansion of -1 in n 3.976 * [backup-simplify]: Simplify -1 into -1 3.976 * [backup-simplify]: Simplify -1 into -1 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.978 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.978 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.979 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.980 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 3.981 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 3.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 3.982 * [taylor]: Taking taylor expansion of (/ -2 n) in n 3.982 * [taylor]: Taking taylor expansion of -2 in n 3.982 * [backup-simplify]: Simplify -2 into -2 3.982 * [taylor]: Taking taylor expansion of n in n 3.982 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ -2 1) into -2 3.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.987 * [backup-simplify]: Simplify (+ 0 0) into 0 3.988 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.990 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.990 * [backup-simplify]: Simplify (- 0) into 0 3.990 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 3.994 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 3.994 * [taylor]: Taking taylor expansion of -2 in n 3.994 * [backup-simplify]: Simplify -2 into -2 3.994 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.994 * [taylor]: Taking taylor expansion of n in n 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (* 1 1) into 1 3.995 * [backup-simplify]: Simplify (/ -2 1) into -2 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.001 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (- 0) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.006 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.007 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 4.007 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.011 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 4.011 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 4.011 * [taylor]: Taking taylor expansion of -2 in n 4.011 * [backup-simplify]: Simplify -2 into -2 4.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.011 * [taylor]: Taking taylor expansion of n in n 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.011 * [backup-simplify]: Simplify (* 1 1) into 1 4.012 * [backup-simplify]: Simplify (/ -2 1) into -2 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify -1 into -1 4.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 4.017 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.017 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.017 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.017 * [taylor]: Taking taylor expansion of -1 in n 4.017 * [backup-simplify]: Simplify -1 into -1 4.017 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.017 * [taylor]: Taking taylor expansion of (+ n f) in n 4.017 * [taylor]: Taking taylor expansion of n in n 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of f in n 4.017 * [backup-simplify]: Simplify f into f 4.017 * [taylor]: Taking taylor expansion of (- f n) in n 4.017 * [taylor]: Taking taylor expansion of f in n 4.017 * [backup-simplify]: Simplify f into f 4.017 * [taylor]: Taking taylor expansion of n in n 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (+ 0 f) into f 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify (+ f 0) into f 4.017 * [backup-simplify]: Simplify (/ f f) into 1 4.017 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.017 * [taylor]: Taking taylor expansion of -1 in f 4.017 * [backup-simplify]: Simplify -1 into -1 4.017 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.017 * [taylor]: Taking taylor expansion of (+ n f) in f 4.017 * [taylor]: Taking taylor expansion of n in f 4.017 * [backup-simplify]: Simplify n into n 4.017 * [taylor]: Taking taylor expansion of f in f 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of (- f n) in f 4.017 * [taylor]: Taking taylor expansion of f in f 4.017 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify 1 into 1 4.017 * [taylor]: Taking taylor expansion of n in f 4.018 * [backup-simplify]: Simplify n into n 4.018 * [backup-simplify]: Simplify (+ n 0) into n 4.018 * [backup-simplify]: Simplify (- n) into (- n) 4.018 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.018 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.018 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.018 * [taylor]: Taking taylor expansion of -1 in f 4.018 * [backup-simplify]: Simplify -1 into -1 4.018 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.018 * [taylor]: Taking taylor expansion of (+ n f) in f 4.018 * [taylor]: Taking taylor expansion of n in f 4.018 * [backup-simplify]: Simplify n into n 4.018 * [taylor]: Taking taylor expansion of f in f 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of (- f n) in f 4.018 * [taylor]: Taking taylor expansion of f in f 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [taylor]: Taking taylor expansion of n in f 4.018 * [backup-simplify]: Simplify n into n 4.018 * [backup-simplify]: Simplify (+ n 0) into n 4.018 * [backup-simplify]: Simplify (- n) into (- n) 4.018 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.018 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.018 * [backup-simplify]: Simplify (* -1 -1) into 1 4.018 * [taylor]: Taking taylor expansion of 1 in n 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (+ 0 1) into 1 4.019 * [backup-simplify]: Simplify (- 0) into 0 4.019 * [backup-simplify]: Simplify (+ 1 0) into 1 4.019 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.020 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.020 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.020 * [taylor]: Taking taylor expansion of 2 in n 4.020 * [backup-simplify]: Simplify 2 into 2 4.020 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.020 * [taylor]: Taking taylor expansion of n in n 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.020 * [backup-simplify]: Simplify (/ 1 1) into 1 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.022 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.023 * [taylor]: Taking taylor expansion of 2 in n 4.023 * [backup-simplify]: Simplify 2 into 2 4.023 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.023 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.023 * [taylor]: Taking taylor expansion of n in n 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (* 1 1) into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (- 0) into 0 4.028 * [backup-simplify]: Simplify (+ 0 0) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.029 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.029 * [taylor]: Taking taylor expansion of 2 in n 4.029 * [backup-simplify]: Simplify 2 into 2 4.029 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.029 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.029 * [taylor]: Taking taylor expansion of n in n 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (/ 1 1) into 1 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.036 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.036 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.036 * [taylor]: Taking taylor expansion of -1 in n 4.036 * [backup-simplify]: Simplify -1 into -1 4.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.036 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.036 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.036 * [taylor]: Taking taylor expansion of f in n 4.036 * [backup-simplify]: Simplify f into f 4.036 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.036 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.036 * [taylor]: Taking taylor expansion of n in n 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (/ 1 1) into 1 4.036 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.036 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.036 * [taylor]: Taking taylor expansion of f in n 4.036 * [backup-simplify]: Simplify f into f 4.036 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.036 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.036 * [taylor]: Taking taylor expansion of n in n 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (/ 1 1) into 1 4.037 * [backup-simplify]: Simplify (+ 0 1) into 1 4.037 * [backup-simplify]: Simplify (- 1) into -1 4.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.038 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.038 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.038 * [taylor]: Taking taylor expansion of -1 in f 4.038 * [backup-simplify]: Simplify -1 into -1 4.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.038 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.038 * [taylor]: Taking taylor expansion of f in f 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.038 * [taylor]: Taking taylor expansion of n in f 4.038 * [backup-simplify]: Simplify n into n 4.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.038 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.038 * [taylor]: Taking taylor expansion of f in f 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.038 * [taylor]: Taking taylor expansion of n in f 4.039 * [backup-simplify]: Simplify n into n 4.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.039 * [backup-simplify]: Simplify (+ 1 0) into 1 4.039 * [backup-simplify]: Simplify (+ 1 0) into 1 4.039 * [backup-simplify]: Simplify (/ 1 1) into 1 4.039 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.039 * [taylor]: Taking taylor expansion of -1 in f 4.039 * [backup-simplify]: Simplify -1 into -1 4.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.039 * [taylor]: Taking taylor expansion of f in f 4.039 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.040 * [taylor]: Taking taylor expansion of n in f 4.040 * [backup-simplify]: Simplify n into n 4.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.040 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.040 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.040 * [taylor]: Taking taylor expansion of f in f 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.040 * [taylor]: Taking taylor expansion of n in f 4.040 * [backup-simplify]: Simplify n into n 4.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.041 * [backup-simplify]: Simplify (+ 1 0) into 1 4.041 * [backup-simplify]: Simplify (+ 1 0) into 1 4.041 * [backup-simplify]: Simplify (/ 1 1) into 1 4.041 * [backup-simplify]: Simplify (* -1 1) into -1 4.041 * [taylor]: Taking taylor expansion of -1 in n 4.041 * [backup-simplify]: Simplify -1 into -1 4.041 * [backup-simplify]: Simplify -1 into -1 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.043 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.043 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.044 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.044 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.044 * [taylor]: Taking taylor expansion of 2 in n 4.044 * [backup-simplify]: Simplify 2 into 2 4.044 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.044 * [taylor]: Taking taylor expansion of n in n 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.046 * [backup-simplify]: Simplify (- 0) into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.052 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.052 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.052 * [taylor]: Taking taylor expansion of 2 in n 4.052 * [backup-simplify]: Simplify 2 into 2 4.052 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.052 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.052 * [taylor]: Taking taylor expansion of n in n 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.057 * [backup-simplify]: Simplify (- 0) into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.060 * [backup-simplify]: Simplify (- 0) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.062 * [backup-simplify]: Simplify (+ 0 0) into 0 4.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.063 * [backup-simplify]: Simplify (- 0) into 0 4.064 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.067 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.067 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.067 * [taylor]: Taking taylor expansion of 2 in n 4.067 * [backup-simplify]: Simplify 2 into 2 4.067 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.067 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.067 * [taylor]: Taking taylor expansion of n in n 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (* 1 1) into 1 4.068 * [backup-simplify]: Simplify (* 1 1) into 1 4.068 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify -1 into -1 4.078 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.078 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.078 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.078 * [taylor]: Taking taylor expansion of f in n 4.078 * [backup-simplify]: Simplify f into f 4.079 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.079 * [taylor]: Taking taylor expansion of n in n 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (/ 1 1) into 1 4.079 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.079 * [taylor]: Taking taylor expansion of n in n 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (/ 1 1) into 1 4.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.080 * [taylor]: Taking taylor expansion of f in n 4.080 * [backup-simplify]: Simplify f into f 4.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.080 * [backup-simplify]: Simplify (+ 0 1) into 1 4.081 * [backup-simplify]: Simplify (+ 1 0) into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.081 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.081 * [taylor]: Taking taylor expansion of f in f 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.082 * [taylor]: Taking taylor expansion of n in f 4.082 * [backup-simplify]: Simplify n into n 4.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.082 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.082 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.082 * [taylor]: Taking taylor expansion of n in f 4.082 * [backup-simplify]: Simplify n into n 4.082 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.082 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.082 * [taylor]: Taking taylor expansion of f in f 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [backup-simplify]: Simplify (+ 1 0) into 1 4.083 * [backup-simplify]: Simplify (- 1) into -1 4.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.084 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.084 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.084 * [taylor]: Taking taylor expansion of f in f 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.084 * [taylor]: Taking taylor expansion of n in f 4.084 * [backup-simplify]: Simplify n into n 4.085 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.085 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.085 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.085 * [taylor]: Taking taylor expansion of n in f 4.085 * [backup-simplify]: Simplify n into n 4.085 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.085 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.085 * [taylor]: Taking taylor expansion of f in f 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [backup-simplify]: Simplify (+ 1 0) into 1 4.086 * [backup-simplify]: Simplify (- 1) into -1 4.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.087 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.087 * [taylor]: Taking taylor expansion of -1 in n 4.087 * [backup-simplify]: Simplify -1 into -1 4.087 * [backup-simplify]: Simplify -1 into -1 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (- 0) into 0 4.089 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.089 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.090 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.090 * [taylor]: Taking taylor expansion of 2 in n 4.090 * [backup-simplify]: Simplify 2 into 2 4.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.090 * [taylor]: Taking taylor expansion of n in n 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.093 * [backup-simplify]: Simplify (+ 0 0) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (- 0) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.098 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.098 * [taylor]: Taking taylor expansion of 2 in n 4.098 * [backup-simplify]: Simplify 2 into 2 4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.098 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.098 * [taylor]: Taking taylor expansion of n in n 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.101 * [backup-simplify]: Simplify (- 0) into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.106 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.106 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.106 * [taylor]: Taking taylor expansion of 2 in n 4.106 * [backup-simplify]: Simplify 2 into 2 4.106 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.106 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.106 * [taylor]: Taking taylor expansion of n in n 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (* 1 1) into 1 4.106 * [backup-simplify]: Simplify (* 1 1) into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.112 * [backup-simplify]: Simplify (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 4.112 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 4.112 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 4.112 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 4.112 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 4.112 * [taylor]: Taking taylor expansion of 1 in n 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 4.113 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 4.113 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 4.113 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.113 * [taylor]: Taking taylor expansion of -1 in n 4.113 * [backup-simplify]: Simplify -1 into -1 4.113 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.113 * [taylor]: Taking taylor expansion of (+ n f) in n 4.113 * [taylor]: Taking taylor expansion of n in n 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of f in n 4.113 * [backup-simplify]: Simplify f into f 4.113 * [taylor]: Taking taylor expansion of (- f n) in n 4.113 * [taylor]: Taking taylor expansion of f in n 4.113 * [backup-simplify]: Simplify f into f 4.113 * [taylor]: Taking taylor expansion of n in n 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (+ 0 f) into f 4.113 * [backup-simplify]: Simplify (- 0) into 0 4.113 * [backup-simplify]: Simplify (+ f 0) into f 4.113 * [backup-simplify]: Simplify (/ f f) into 1 4.113 * [backup-simplify]: Simplify (* -1 1) into -1 4.114 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.114 * [taylor]: Taking taylor expansion of 1 in n 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (- 1) into -1 4.114 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.115 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.116 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.116 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 4.116 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 4.116 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 4.116 * [taylor]: Taking taylor expansion of 1 in f 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 4.116 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 4.116 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.116 * [taylor]: Taking taylor expansion of -1 in f 4.116 * [backup-simplify]: Simplify -1 into -1 4.116 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.116 * [taylor]: Taking taylor expansion of (+ n f) in f 4.116 * [taylor]: Taking taylor expansion of n in f 4.116 * [backup-simplify]: Simplify n into n 4.116 * [taylor]: Taking taylor expansion of f in f 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (- f n) in f 4.116 * [taylor]: Taking taylor expansion of f in f 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of n in f 4.116 * [backup-simplify]: Simplify n into n 4.116 * [backup-simplify]: Simplify (+ n 0) into n 4.116 * [backup-simplify]: Simplify (- n) into (- n) 4.116 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.116 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.117 * [backup-simplify]: Simplify (* -1 -1) into 1 4.117 * [backup-simplify]: Simplify (exp 1) into E 4.117 * [taylor]: Taking taylor expansion of 1 in f 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (- 1) into -1 4.117 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.118 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.118 * [backup-simplify]: Simplify (log E) into 1 4.118 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 4.118 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 4.118 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 4.118 * [taylor]: Taking taylor expansion of 1 in f 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 4.118 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 4.118 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.118 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.118 * [taylor]: Taking taylor expansion of -1 in f 4.118 * [backup-simplify]: Simplify -1 into -1 4.118 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.118 * [taylor]: Taking taylor expansion of (+ n f) in f 4.118 * [taylor]: Taking taylor expansion of n in f 4.118 * [backup-simplify]: Simplify n into n 4.118 * [taylor]: Taking taylor expansion of f in f 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [taylor]: Taking taylor expansion of (- f n) in f 4.118 * [taylor]: Taking taylor expansion of f in f 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [taylor]: Taking taylor expansion of n in f 4.118 * [backup-simplify]: Simplify n into n 4.119 * [backup-simplify]: Simplify (+ n 0) into n 4.119 * [backup-simplify]: Simplify (- n) into (- n) 4.119 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.119 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.119 * [backup-simplify]: Simplify (* -1 -1) into 1 4.119 * [backup-simplify]: Simplify (exp 1) into E 4.119 * [taylor]: Taking taylor expansion of 1 in f 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (- 1) into -1 4.119 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.120 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.120 * [backup-simplify]: Simplify (log E) into 1 4.120 * [taylor]: Taking taylor expansion of 1 in n 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (+ 0 1) into 1 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify (+ 1 0) into 1 4.121 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.121 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.122 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 4.122 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 4.122 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 4.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 4.123 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.123 * [taylor]: Taking taylor expansion of 2 in n 4.123 * [backup-simplify]: Simplify 2 into 2 4.123 * [taylor]: Taking taylor expansion of n in n 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (/ 2 1) into 2 4.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.125 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.125 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.126 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 4.126 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 4.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 4.127 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 4.127 * [taylor]: Taking taylor expansion of 2 in n 4.127 * [backup-simplify]: Simplify 2 into 2 4.127 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.127 * [taylor]: Taking taylor expansion of n in n 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (/ 2 1) into 2 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (+ 0 0) into 0 4.131 * [backup-simplify]: Simplify (- 0) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.133 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.134 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 4.135 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 4.138 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 4.138 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 4.138 * [taylor]: Taking taylor expansion of 2 in n 4.138 * [backup-simplify]: Simplify 2 into 2 4.138 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.138 * [taylor]: Taking taylor expansion of n in n 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (* 1 1) into 1 4.139 * [backup-simplify]: Simplify (* 1 1) into 1 4.139 * [backup-simplify]: Simplify (/ 2 1) into 2 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (log (exp (log1p (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 4.148 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 4.148 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 4.149 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 4.149 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 4.149 * [taylor]: Taking taylor expansion of 1 in n 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 4.149 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 4.149 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 4.149 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.149 * [taylor]: Taking taylor expansion of -1 in n 4.149 * [backup-simplify]: Simplify -1 into -1 4.149 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.149 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.149 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.149 * [taylor]: Taking taylor expansion of f in n 4.149 * [backup-simplify]: Simplify f into f 4.149 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.149 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.149 * [taylor]: Taking taylor expansion of n in n 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.150 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.150 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.150 * [taylor]: Taking taylor expansion of f in n 4.150 * [backup-simplify]: Simplify f into f 4.150 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.150 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.150 * [taylor]: Taking taylor expansion of n in n 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [backup-simplify]: Simplify (+ 0 1) into 1 4.151 * [backup-simplify]: Simplify (- 1) into -1 4.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.152 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.152 * [backup-simplify]: Simplify (* -1 -1) into 1 4.152 * [backup-simplify]: Simplify (exp 1) into E 4.152 * [taylor]: Taking taylor expansion of 1 in n 4.152 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (- 1) into -1 4.153 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.154 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.154 * [backup-simplify]: Simplify (log E) into 1 4.154 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 4.154 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 4.154 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 4.154 * [taylor]: Taking taylor expansion of 1 in f 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.155 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 4.155 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.155 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.155 * [taylor]: Taking taylor expansion of -1 in f 4.155 * [backup-simplify]: Simplify -1 into -1 4.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.155 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.155 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.155 * [taylor]: Taking taylor expansion of f in f 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.155 * [taylor]: Taking taylor expansion of n in f 4.155 * [backup-simplify]: Simplify n into n 4.155 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.155 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.156 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.156 * [taylor]: Taking taylor expansion of f in f 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.156 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.156 * [taylor]: Taking taylor expansion of n in f 4.156 * [backup-simplify]: Simplify n into n 4.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.156 * [backup-simplify]: Simplify (+ 1 0) into 1 4.157 * [backup-simplify]: Simplify (+ 1 0) into 1 4.157 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [backup-simplify]: Simplify (* -1 1) into -1 4.158 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.158 * [taylor]: Taking taylor expansion of 1 in f 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (- 1) into -1 4.159 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.160 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.160 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.160 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 4.160 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 4.160 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 4.160 * [taylor]: Taking taylor expansion of 1 in f 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.161 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 4.161 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.161 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.161 * [taylor]: Taking taylor expansion of -1 in f 4.161 * [backup-simplify]: Simplify -1 into -1 4.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.161 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.161 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.161 * [taylor]: Taking taylor expansion of f in f 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.161 * [taylor]: Taking taylor expansion of n in f 4.161 * [backup-simplify]: Simplify n into n 4.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.161 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.161 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.161 * [taylor]: Taking taylor expansion of f in f 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.161 * [taylor]: Taking taylor expansion of n in f 4.161 * [backup-simplify]: Simplify n into n 4.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.162 * [backup-simplify]: Simplify (+ 1 0) into 1 4.162 * [backup-simplify]: Simplify (+ 1 0) into 1 4.162 * [backup-simplify]: Simplify (/ 1 1) into 1 4.162 * [backup-simplify]: Simplify (* -1 1) into -1 4.163 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.163 * [taylor]: Taking taylor expansion of 1 in f 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (- 1) into -1 4.163 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.164 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.165 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.165 * [taylor]: Taking taylor expansion of -1 in n 4.165 * [backup-simplify]: Simplify -1 into -1 4.165 * [backup-simplify]: Simplify -1 into -1 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.166 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.166 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.167 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.167 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.167 * [backup-simplify]: Simplify (- 0) into 0 4.168 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 4.168 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 4.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 4.169 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.169 * [taylor]: Taking taylor expansion of -2 in n 4.169 * [backup-simplify]: Simplify -2 into -2 4.169 * [taylor]: Taking taylor expansion of n in n 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ -2 1) into -2 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.173 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.173 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 4.176 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 4.176 * [taylor]: Taking taylor expansion of -2 in n 4.176 * [backup-simplify]: Simplify -2 into -2 4.176 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.176 * [taylor]: Taking taylor expansion of n in n 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (/ -2 1) into -2 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.181 * [backup-simplify]: Simplify (- 0) into 0 4.181 * [backup-simplify]: Simplify (+ 0 0) into 0 4.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.183 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.184 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.184 * [backup-simplify]: Simplify (- 0) into 0 4.184 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 4.185 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.188 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 4.188 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 4.188 * [taylor]: Taking taylor expansion of -2 in n 4.188 * [backup-simplify]: Simplify -2 into -2 4.188 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.188 * [taylor]: Taking taylor expansion of n in n 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (* 1 1) into 1 4.189 * [backup-simplify]: Simplify (* 1 1) into 1 4.189 * [backup-simplify]: Simplify (/ -2 1) into -2 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify -1 into -1 4.194 * [backup-simplify]: Simplify (log (exp (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 4.194 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 4.194 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 4.194 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 4.194 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 4.194 * [taylor]: Taking taylor expansion of 1 in n 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.194 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 4.194 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.195 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.195 * [taylor]: Taking taylor expansion of f in n 4.195 * [backup-simplify]: Simplify f into f 4.195 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.195 * [taylor]: Taking taylor expansion of n in n 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (/ 1 1) into 1 4.195 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.195 * [taylor]: Taking taylor expansion of n in n 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.196 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.196 * [taylor]: Taking taylor expansion of f in n 4.196 * [backup-simplify]: Simplify f into f 4.196 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.196 * [backup-simplify]: Simplify (+ 0 1) into 1 4.200 * [backup-simplify]: Simplify (+ 1 0) into 1 4.201 * [backup-simplify]: Simplify (/ 1 1) into 1 4.201 * [backup-simplify]: Simplify (exp 1) into E 4.201 * [taylor]: Taking taylor expansion of 1 in n 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (- 1) into -1 4.202 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.202 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.203 * [backup-simplify]: Simplify (log E) into 1 4.203 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.203 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 4.203 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.203 * [taylor]: Taking taylor expansion of 1 in f 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.203 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 4.203 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.203 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.203 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.203 * [taylor]: Taking taylor expansion of f in f 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (/ 1 1) into 1 4.204 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.204 * [taylor]: Taking taylor expansion of n in f 4.204 * [backup-simplify]: Simplify n into n 4.204 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.204 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.204 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.204 * [taylor]: Taking taylor expansion of n in f 4.204 * [backup-simplify]: Simplify n into n 4.204 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.204 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.204 * [taylor]: Taking taylor expansion of f in f 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.205 * [backup-simplify]: Simplify (+ 1 0) into 1 4.205 * [backup-simplify]: Simplify (- 1) into -1 4.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.206 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.206 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.206 * [taylor]: Taking taylor expansion of 1 in f 4.206 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (- 1) into -1 4.207 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.209 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.210 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.210 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.210 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 4.210 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.210 * [taylor]: Taking taylor expansion of 1 in f 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.210 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 4.210 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.210 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.210 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.210 * [taylor]: Taking taylor expansion of f in f 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.211 * [taylor]: Taking taylor expansion of n in f 4.211 * [backup-simplify]: Simplify n into n 4.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.211 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.211 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.211 * [taylor]: Taking taylor expansion of n in f 4.211 * [backup-simplify]: Simplify n into n 4.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.211 * [taylor]: Taking taylor expansion of f in f 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.212 * [backup-simplify]: Simplify (- 1) into -1 4.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.213 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.213 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.213 * [taylor]: Taking taylor expansion of 1 in f 4.213 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (- 1) into -1 4.214 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.216 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.217 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.217 * [taylor]: Taking taylor expansion of -1 in n 4.217 * [backup-simplify]: Simplify -1 into -1 4.217 * [backup-simplify]: Simplify -1 into -1 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- 0) into 0 4.219 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.219 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.220 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.220 * [backup-simplify]: Simplify (- 0) into 0 4.221 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 4.221 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 4.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 4.223 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.223 * [taylor]: Taking taylor expansion of -2 in n 4.223 * [backup-simplify]: Simplify -2 into -2 4.223 * [taylor]: Taking taylor expansion of n in n 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ -2 1) into -2 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (- 0) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.227 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.227 * [backup-simplify]: Simplify (- 0) into 0 4.227 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [backup-simplify]: Simplify (+ 0 0) into 0 4.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 4.229 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 4.229 * [taylor]: Taking taylor expansion of -2 in n 4.230 * [backup-simplify]: Simplify -2 into -2 4.230 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.230 * [taylor]: Taking taylor expansion of n in n 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.230 * [backup-simplify]: Simplify (/ -2 1) into -2 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (- 0) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.237 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.238 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 4.238 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.242 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 4.242 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 4.242 * [taylor]: Taking taylor expansion of -2 in n 4.242 * [backup-simplify]: Simplify -2 into -2 4.242 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.242 * [taylor]: Taking taylor expansion of n in n 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* 1 1) into 1 4.242 * [backup-simplify]: Simplify (* 1 1) into 1 4.243 * [backup-simplify]: Simplify (/ -2 1) into -2 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify -1 into -1 4.247 * * * [progress]: simplifying candidates 4.250 * [simplify]: Simplifying: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (* (* (expm1 (/ (- (+ f n)) (- f n))) (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log (log1p (expm1 (/ (- (+ f n)) (- f n))))) (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (* (* (log1p (expm1 (/ (- (+ f n)) (- f n)))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (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 (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log1p (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log (* (cbrt (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (cbrt (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))))) (log (cbrt (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log (sqrt (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log (sqrt (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log 1) (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (log (exp (* (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (log1p (expm1 (/ (- (+ f n)) (- f n)))))))) (log (exp (sqrt (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log (exp 1)) (log (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (exp (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (* (cbrt (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (cbrt (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))))) (cbrt (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (* (* (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n)))))) (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (sqrt (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (sqrt (log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1 -1 -1 4.252 * * [simplify]: Extracting # 0 : cost 0 4.253 * * [simplify]: Extracting # 1 : cost 0 4.253 * * [simplify]: Extracting # 2 : cost 0 4.253 * * [simplify]: Extracting # 3 : cost 0 4.253 * * [simplify]: Extracting # 4 : cost 0 4.254 * * [simplify]: Extracting # 5 : cost 0 4.254 * * [simplify]: Extracting # 6 : cost 0 4.254 * * [simplify]: iteration 0 : 181 enodes (cost 2046 ) 4.320 * * [simplify]: Extracting # 0 : cost 0 4.321 * * [simplify]: Extracting # 1 : cost 0 4.322 * * [simplify]: Extracting # 2 : cost 0 4.323 * * [simplify]: Extracting # 3 : cost 0 4.323 * * [simplify]: Extracting # 4 : cost 0 4.324 * * [simplify]: iteration 1 : 382 enodes (cost 1863 ) 4.424 * * [simplify]: Extracting # 0 : cost 0 4.426 * * [simplify]: Extracting # 1 : cost 0 4.429 * * [simplify]: Extracting # 2 : cost 0 4.432 * * [simplify]: Extracting # 3 : cost 0 4.435 * * [simplify]: Extracting # 4 : cost 0 4.438 * * [simplify]: iteration 2 : 1166 enodes (cost 1776 ) 4.967 * * [simplify]: Extracting # 0 : cost 0 4.990 * * [simplify]: Extracting # 1 : cost 0 4.997 * * [simplify]: Extracting # 2 : cost 0 5.007 * * [simplify]: Extracting # 3 : cost 0 5.013 * * [simplify]: Extracting # 4 : cost 0 5.020 * * [simplify]: iteration done: 5000 enodes (cost 1767 ) 5.021 * [simplify]: Simplified to: (exp (/ (- (+ f n)) (- f n))) (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) (log (expm1 (/ (- (+ f n)) (- f n)))) (exp (expm1 (/ (- (+ f n)) (- f n)))) (* (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (cbrt (expm1 (/ (- (+ f n)) (- f n))))) (cbrt (expm1 (/ (- (+ f n)) (- f n)))) (pow (expm1 (/ (- (+ f n)) (- f n))) 3) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (sqrt (expm1 (/ (- (+ f n)) (- f n)))) (+ 1 (expm1 (/ (- (+ f n)) (- f n)))) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (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 n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (* 2 (log (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) 0 (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (sqrt (/ (- (+ f n)) (- f n))) 1 (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 1 -1 -1 5.022 * * * [progress]: adding candidates to table 5.569 * * [progress]: iteration 4 / 4 5.569 * * * [progress]: picking best candidate 5.572 * * * * [pick]: Picked # 5.573 * * * [progress]: localizing error 5.598 * * * [progress]: generating rewritten candidates 5.598 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 5.686 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 6.078 * * * [progress]: generating series expansions 6.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.079 * [backup-simplify]: Simplify (/ (- 1) (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 6.079 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.079 * [taylor]: Taking taylor expansion of -1 in n 6.079 * [backup-simplify]: Simplify -1 into -1 6.079 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.079 * [taylor]: Taking taylor expansion of (+ n f) in n 6.079 * [taylor]: Taking taylor expansion of n in n 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [taylor]: Taking taylor expansion of f in n 6.079 * [backup-simplify]: Simplify f into f 6.079 * [taylor]: Taking taylor expansion of (- f n) in n 6.079 * [taylor]: Taking taylor expansion of f in n 6.079 * [backup-simplify]: Simplify f into f 6.079 * [taylor]: Taking taylor expansion of n in n 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (+ 0 f) into f 6.079 * [backup-simplify]: Simplify (- 0) into 0 6.079 * [backup-simplify]: Simplify (+ f 0) into f 6.079 * [backup-simplify]: Simplify (/ f f) into 1 6.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.079 * [taylor]: Taking taylor expansion of -1 in f 6.079 * [backup-simplify]: Simplify -1 into -1 6.079 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.079 * [taylor]: Taking taylor expansion of (+ n f) in f 6.079 * [taylor]: Taking taylor expansion of n in f 6.079 * [backup-simplify]: Simplify n into n 6.079 * [taylor]: Taking taylor expansion of f in f 6.079 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of (- f n) in f 6.080 * [taylor]: Taking taylor expansion of f in f 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of n in f 6.080 * [backup-simplify]: Simplify n into n 6.080 * [backup-simplify]: Simplify (+ n 0) into n 6.080 * [backup-simplify]: Simplify (- n) into (- n) 6.080 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.080 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.080 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.080 * [taylor]: Taking taylor expansion of -1 in f 6.080 * [backup-simplify]: Simplify -1 into -1 6.080 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.080 * [taylor]: Taking taylor expansion of (+ n f) in f 6.080 * [taylor]: Taking taylor expansion of n in f 6.080 * [backup-simplify]: Simplify n into n 6.080 * [taylor]: Taking taylor expansion of f in f 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of (- f n) in f 6.080 * [taylor]: Taking taylor expansion of f in f 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of n in f 6.080 * [backup-simplify]: Simplify n into n 6.080 * [backup-simplify]: Simplify (+ n 0) into n 6.080 * [backup-simplify]: Simplify (- n) into (- n) 6.080 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.080 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.080 * [backup-simplify]: Simplify (* -1 -1) into 1 6.080 * [taylor]: Taking taylor expansion of 1 in n 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (+ 0 1) into 1 6.091 * [backup-simplify]: Simplify (- 0) into 0 6.091 * [backup-simplify]: Simplify (+ 1 0) into 1 6.091 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.092 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.092 * [taylor]: Taking taylor expansion of 2 in n 6.092 * [backup-simplify]: Simplify 2 into 2 6.092 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.092 * [taylor]: Taking taylor expansion of n in n 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (+ 0 0) into 0 6.094 * [backup-simplify]: Simplify (- 0) into 0 6.094 * [backup-simplify]: Simplify (+ 0 0) into 0 6.094 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.095 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.095 * [taylor]: Taking taylor expansion of 2 in n 6.095 * [backup-simplify]: Simplify 2 into 2 6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.095 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.095 * [taylor]: Taking taylor expansion of n in n 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (* 1 1) into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.098 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify (- 0) into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.100 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.100 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.100 * [taylor]: Taking taylor expansion of 2 in n 6.101 * [backup-simplify]: Simplify 2 into 2 6.101 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.101 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.101 * [taylor]: Taking taylor expansion of n in n 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (* 1 1) into 1 6.101 * [backup-simplify]: Simplify (* 1 1) into 1 6.101 * [backup-simplify]: Simplify (/ 1 1) into 1 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 1 into 1 6.107 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.107 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.107 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.107 * [taylor]: Taking taylor expansion of -1 in n 6.107 * [backup-simplify]: Simplify -1 into -1 6.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.108 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.108 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.108 * [taylor]: Taking taylor expansion of f in n 6.108 * [backup-simplify]: Simplify f into f 6.108 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.108 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.108 * [taylor]: Taking taylor expansion of n in n 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (/ 1 1) into 1 6.108 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.108 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.108 * [taylor]: Taking taylor expansion of f in n 6.108 * [backup-simplify]: Simplify f into f 6.108 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.108 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.108 * [taylor]: Taking taylor expansion of n in n 6.108 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 1 into 1 6.109 * [backup-simplify]: Simplify (/ 1 1) into 1 6.109 * [backup-simplify]: Simplify (+ 0 1) into 1 6.110 * [backup-simplify]: Simplify (- 1) into -1 6.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.111 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.111 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.111 * [taylor]: Taking taylor expansion of -1 in f 6.111 * [backup-simplify]: Simplify -1 into -1 6.111 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.111 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.111 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.111 * [taylor]: Taking taylor expansion of f in f 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 1 into 1 6.111 * [backup-simplify]: Simplify (/ 1 1) into 1 6.111 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.111 * [taylor]: Taking taylor expansion of n in f 6.111 * [backup-simplify]: Simplify n into n 6.111 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.111 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.112 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.112 * [taylor]: Taking taylor expansion of f in f 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (/ 1 1) into 1 6.112 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.112 * [taylor]: Taking taylor expansion of n in f 6.112 * [backup-simplify]: Simplify n into n 6.112 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.113 * [backup-simplify]: Simplify (+ 1 0) into 1 6.113 * [backup-simplify]: Simplify (+ 1 0) into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.113 * [taylor]: Taking taylor expansion of -1 in f 6.113 * [backup-simplify]: Simplify -1 into -1 6.114 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.114 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.114 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.114 * [taylor]: Taking taylor expansion of f in f 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.114 * [backup-simplify]: Simplify (/ 1 1) into 1 6.114 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.114 * [taylor]: Taking taylor expansion of n in f 6.114 * [backup-simplify]: Simplify n into n 6.114 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.114 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.114 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.114 * [taylor]: Taking taylor expansion of f in f 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.115 * [backup-simplify]: Simplify (/ 1 1) into 1 6.115 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.115 * [taylor]: Taking taylor expansion of n in f 6.115 * [backup-simplify]: Simplify n into n 6.115 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.115 * [backup-simplify]: Simplify (+ 1 0) into 1 6.116 * [backup-simplify]: Simplify (+ 1 0) into 1 6.116 * [backup-simplify]: Simplify (/ 1 1) into 1 6.117 * [backup-simplify]: Simplify (* -1 1) into -1 6.117 * [taylor]: Taking taylor expansion of -1 in n 6.117 * [backup-simplify]: Simplify -1 into -1 6.117 * [backup-simplify]: Simplify -1 into -1 6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.119 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.119 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.119 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.120 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.120 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.120 * [taylor]: Taking taylor expansion of 2 in n 6.120 * [backup-simplify]: Simplify 2 into 2 6.120 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.120 * [taylor]: Taking taylor expansion of n in n 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.122 * [backup-simplify]: Simplify (- 0) into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.124 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.125 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.128 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.128 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.128 * [taylor]: Taking taylor expansion of 2 in n 6.128 * [backup-simplify]: Simplify 2 into 2 6.128 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.128 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.128 * [taylor]: Taking taylor expansion of n in n 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (* 1 1) into 1 6.129 * [backup-simplify]: Simplify (/ 1 1) into 1 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.134 * [backup-simplify]: Simplify (- 0) into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.137 * [backup-simplify]: Simplify (- 0) into 0 6.137 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.139 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.139 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.139 * [taylor]: Taking taylor expansion of 2 in n 6.139 * [backup-simplify]: Simplify 2 into 2 6.139 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.139 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.139 * [taylor]: Taking taylor expansion of n in n 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.140 * [backup-simplify]: Simplify (* 1 1) into 1 6.140 * [backup-simplify]: Simplify (* 1 1) into 1 6.140 * [backup-simplify]: Simplify (/ 1 1) into 1 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.145 * [backup-simplify]: Simplify (- 0) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify -1 into -1 6.146 * [backup-simplify]: Simplify (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.146 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.146 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.146 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.146 * [taylor]: Taking taylor expansion of f in n 6.146 * [backup-simplify]: Simplify f into f 6.146 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.146 * [taylor]: Taking taylor expansion of n in n 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (/ 1 1) into 1 6.146 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.146 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.146 * [taylor]: Taking taylor expansion of n in n 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (/ 1 1) into 1 6.147 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.147 * [taylor]: Taking taylor expansion of f in n 6.147 * [backup-simplify]: Simplify f into f 6.147 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.147 * [backup-simplify]: Simplify (+ 0 1) into 1 6.147 * [backup-simplify]: Simplify (+ 1 0) into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.148 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.148 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.148 * [taylor]: Taking taylor expansion of f in f 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.148 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.148 * [taylor]: Taking taylor expansion of n in f 6.148 * [backup-simplify]: Simplify n into n 6.148 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.148 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.148 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.148 * [taylor]: Taking taylor expansion of n in f 6.148 * [backup-simplify]: Simplify n into n 6.148 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.148 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.148 * [taylor]: Taking taylor expansion of f in f 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [backup-simplify]: Simplify (+ 1 0) into 1 6.149 * [backup-simplify]: Simplify (- 1) into -1 6.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.150 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.150 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.150 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.150 * [taylor]: Taking taylor expansion of f in f 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.150 * [taylor]: Taking taylor expansion of n in f 6.150 * [backup-simplify]: Simplify n into n 6.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.150 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.150 * [taylor]: Taking taylor expansion of n in f 6.150 * [backup-simplify]: Simplify n into n 6.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.150 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.150 * [taylor]: Taking taylor expansion of f in f 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.151 * [backup-simplify]: Simplify (+ 1 0) into 1 6.151 * [backup-simplify]: Simplify (- 1) into -1 6.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.151 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.152 * [taylor]: Taking taylor expansion of -1 in n 6.152 * [backup-simplify]: Simplify -1 into -1 6.152 * [backup-simplify]: Simplify -1 into -1 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (- 0) into 0 6.153 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.153 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.153 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.153 * [taylor]: Taking taylor expansion of 2 in n 6.153 * [backup-simplify]: Simplify 2 into 2 6.153 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.153 * [taylor]: Taking taylor expansion of n in n 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ 1 1) into 1 6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.155 * [backup-simplify]: Simplify (- 0) into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.155 * [backup-simplify]: Simplify (+ 0 0) into 0 6.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.156 * [backup-simplify]: Simplify (- 0) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.157 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.158 * [taylor]: Taking taylor expansion of 2 in n 6.158 * [backup-simplify]: Simplify 2 into 2 6.158 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.158 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.158 * [taylor]: Taking taylor expansion of n in n 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (* 1 1) into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.162 * [backup-simplify]: Simplify (- 0) into 0 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (- 0) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.166 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.166 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.166 * [taylor]: Taking taylor expansion of 2 in n 6.166 * [backup-simplify]: Simplify 2 into 2 6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.166 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.166 * [taylor]: Taking taylor expansion of n in n 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify (* 1 1) into 1 6.167 * [backup-simplify]: Simplify (* 1 1) into 1 6.168 * [backup-simplify]: Simplify (/ 1 1) into 1 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (- 0) into 0 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify -1 into -1 6.177 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 6.177 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 6.177 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 6.177 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 6.177 * [taylor]: Taking taylor expansion of (- f n) in n 6.177 * [taylor]: Taking taylor expansion of f in n 6.177 * [backup-simplify]: Simplify f into f 6.177 * [taylor]: Taking taylor expansion of n in n 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.177 * [taylor]: Taking taylor expansion of (+ n f) in n 6.177 * [taylor]: Taking taylor expansion of n in n 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.178 * [taylor]: Taking taylor expansion of f in n 6.178 * [backup-simplify]: Simplify f into f 6.178 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify (+ f 0) into f 6.178 * [backup-simplify]: Simplify (+ 0 f) into f 6.178 * [backup-simplify]: Simplify (/ f f) into 1 6.178 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.178 * [taylor]: Taking taylor expansion of (- f n) in f 6.178 * [taylor]: Taking taylor expansion of f in f 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.178 * [taylor]: Taking taylor expansion of n in f 6.178 * [backup-simplify]: Simplify n into n 6.178 * [taylor]: Taking taylor expansion of (+ n f) in f 6.178 * [taylor]: Taking taylor expansion of n in f 6.178 * [backup-simplify]: Simplify n into n 6.178 * [taylor]: Taking taylor expansion of f in f 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.179 * [backup-simplify]: Simplify (- n) into (- n) 6.179 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.179 * [backup-simplify]: Simplify (+ n 0) into n 6.179 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.179 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 6.179 * [taylor]: Taking taylor expansion of (- f n) in f 6.179 * [taylor]: Taking taylor expansion of f in f 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.179 * [taylor]: Taking taylor expansion of n in f 6.179 * [backup-simplify]: Simplify n into n 6.179 * [taylor]: Taking taylor expansion of (+ n f) in f 6.179 * [taylor]: Taking taylor expansion of n in f 6.179 * [backup-simplify]: Simplify n into n 6.179 * [taylor]: Taking taylor expansion of f in f 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.179 * [backup-simplify]: Simplify (- n) into (- n) 6.179 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.179 * [backup-simplify]: Simplify (+ n 0) into n 6.179 * [backup-simplify]: Simplify (/ (- n) n) into -1 6.179 * [taylor]: Taking taylor expansion of -1 in n 6.179 * [backup-simplify]: Simplify -1 into -1 6.179 * [backup-simplify]: Simplify -1 into -1 6.180 * [backup-simplify]: Simplify (- 0) into 0 6.180 * [backup-simplify]: Simplify (+ 1 0) into 1 6.181 * [backup-simplify]: Simplify (+ 0 1) into 1 6.181 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 6.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.181 * [taylor]: Taking taylor expansion of 2 in n 6.181 * [backup-simplify]: Simplify 2 into 2 6.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.181 * [taylor]: Taking taylor expansion of n in n 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 1 into 1 6.181 * [backup-simplify]: Simplify (/ 1 1) into 1 6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (- 0) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 6.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.184 * [taylor]: Taking taylor expansion of 2 in n 6.185 * [backup-simplify]: Simplify 2 into 2 6.185 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.185 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.185 * [taylor]: Taking taylor expansion of n in n 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [backup-simplify]: Simplify (* 1 1) into 1 6.185 * [backup-simplify]: Simplify (/ 1 1) into 1 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.190 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.190 * [backup-simplify]: Simplify (- 0) into 0 6.190 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (- 0) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 6.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.194 * [taylor]: Taking taylor expansion of 2 in n 6.194 * [backup-simplify]: Simplify 2 into 2 6.194 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.194 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.194 * [taylor]: Taking taylor expansion of n in n 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.194 * [backup-simplify]: Simplify (* 1 1) into 1 6.195 * [backup-simplify]: Simplify (* 1 1) into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify -1 into -1 6.204 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 6.204 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 6.204 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 6.204 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.204 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.204 * [taylor]: Taking taylor expansion of f in n 6.204 * [backup-simplify]: Simplify f into f 6.204 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.204 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.205 * [taylor]: Taking taylor expansion of n in n 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.205 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.205 * [taylor]: Taking taylor expansion of f in n 6.205 * [backup-simplify]: Simplify f into f 6.205 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.205 * [taylor]: Taking taylor expansion of n in n 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (/ 1 1) into 1 6.206 * [backup-simplify]: Simplify (- 1) into -1 6.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.207 * [backup-simplify]: Simplify (+ 0 1) into 1 6.207 * [backup-simplify]: Simplify (/ -1 1) into -1 6.207 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.207 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.207 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.207 * [taylor]: Taking taylor expansion of f in f 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify 1 into 1 6.211 * [backup-simplify]: Simplify (/ 1 1) into 1 6.211 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.211 * [taylor]: Taking taylor expansion of n in f 6.211 * [backup-simplify]: Simplify n into n 6.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.211 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.211 * [taylor]: Taking taylor expansion of f in f 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (/ 1 1) into 1 6.212 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.212 * [taylor]: Taking taylor expansion of n in f 6.212 * [backup-simplify]: Simplify n into n 6.212 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.212 * [backup-simplify]: Simplify (+ 1 0) into 1 6.213 * [backup-simplify]: Simplify (+ 1 0) into 1 6.213 * [backup-simplify]: Simplify (/ 1 1) into 1 6.213 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 6.213 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.213 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.213 * [taylor]: Taking taylor expansion of f in f 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.214 * [backup-simplify]: Simplify (/ 1 1) into 1 6.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.214 * [taylor]: Taking taylor expansion of n in f 6.214 * [backup-simplify]: Simplify n into n 6.214 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.214 * [taylor]: Taking taylor expansion of f in f 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [backup-simplify]: Simplify (/ 1 1) into 1 6.214 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.214 * [taylor]: Taking taylor expansion of n in f 6.214 * [backup-simplify]: Simplify n into n 6.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.215 * [backup-simplify]: Simplify (+ 1 0) into 1 6.215 * [backup-simplify]: Simplify (+ 1 0) into 1 6.216 * [backup-simplify]: Simplify (/ 1 1) into 1 6.216 * [taylor]: Taking taylor expansion of 1 in n 6.216 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify 1 into 1 6.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.217 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.217 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.218 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 6.218 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.218 * [taylor]: Taking taylor expansion of 2 in n 6.218 * [backup-simplify]: Simplify 2 into 2 6.218 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.218 * [taylor]: Taking taylor expansion of n in n 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (/ 1 1) into 1 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.220 * [backup-simplify]: Simplify (- 0) into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.222 * [backup-simplify]: Simplify (- 0) into 0 6.222 * [backup-simplify]: Simplify (+ 0 0) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.224 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 6.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.225 * [taylor]: Taking taylor expansion of 2 in n 6.225 * [backup-simplify]: Simplify 2 into 2 6.225 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.225 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.225 * [taylor]: Taking taylor expansion of n in n 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (* 1 1) into 1 6.226 * [backup-simplify]: Simplify (/ 1 1) into 1 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.230 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.232 * [backup-simplify]: Simplify (- 0) into 0 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.234 * [backup-simplify]: Simplify (- 0) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.235 * [backup-simplify]: Simplify (+ 0 0) into 0 6.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.237 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.237 * [taylor]: Taking taylor expansion of 2 in n 6.237 * [backup-simplify]: Simplify 2 into 2 6.237 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.237 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.237 * [taylor]: Taking taylor expansion of n in n 6.237 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 1 into 1 6.238 * [backup-simplify]: Simplify (* 1 1) into 1 6.238 * [backup-simplify]: Simplify (* 1 1) into 1 6.239 * [backup-simplify]: Simplify (/ 1 1) into 1 6.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.249 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 6.249 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 6.249 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 6.249 * [taylor]: Taking taylor expansion of -1 in n 6.249 * [backup-simplify]: Simplify -1 into -1 6.249 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 6.249 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.249 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.249 * [taylor]: Taking taylor expansion of n in n 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [backup-simplify]: Simplify (/ 1 1) into 1 6.249 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.249 * [taylor]: Taking taylor expansion of f in n 6.249 * [backup-simplify]: Simplify f into f 6.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.250 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.250 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.250 * [taylor]: Taking taylor expansion of f in n 6.250 * [backup-simplify]: Simplify f into f 6.250 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.250 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.250 * [taylor]: Taking taylor expansion of n in n 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [backup-simplify]: Simplify (+ 1 0) into 1 6.251 * [backup-simplify]: Simplify (+ 0 1) into 1 6.251 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.251 * [taylor]: Taking taylor expansion of -1 in f 6.251 * [backup-simplify]: Simplify -1 into -1 6.252 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.252 * [taylor]: Taking taylor expansion of n in f 6.252 * [backup-simplify]: Simplify n into n 6.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.252 * [taylor]: Taking taylor expansion of f in f 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.252 * [taylor]: Taking taylor expansion of f in f 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (/ 1 1) into 1 6.253 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.253 * [taylor]: Taking taylor expansion of n in f 6.253 * [backup-simplify]: Simplify n into n 6.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.253 * [backup-simplify]: Simplify (- 1) into -1 6.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.254 * [backup-simplify]: Simplify (+ 1 0) into 1 6.255 * [backup-simplify]: Simplify (/ -1 1) into -1 6.255 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 6.255 * [taylor]: Taking taylor expansion of -1 in f 6.255 * [backup-simplify]: Simplify -1 into -1 6.255 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 6.255 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.255 * [taylor]: Taking taylor expansion of n in f 6.255 * [backup-simplify]: Simplify n into n 6.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.255 * [taylor]: Taking taylor expansion of f in f 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.255 * [backup-simplify]: Simplify (/ 1 1) into 1 6.255 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.255 * [taylor]: Taking taylor expansion of f in f 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify (/ 1 1) into 1 6.256 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.256 * [taylor]: Taking taylor expansion of n in f 6.256 * [backup-simplify]: Simplify n into n 6.256 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.256 * [backup-simplify]: Simplify (- 1) into -1 6.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.257 * [backup-simplify]: Simplify (+ 1 0) into 1 6.258 * [backup-simplify]: Simplify (/ -1 1) into -1 6.258 * [backup-simplify]: Simplify (* -1 -1) into 1 6.258 * [taylor]: Taking taylor expansion of 1 in n 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (- 0) into 0 6.259 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.260 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 6.261 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 6.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.261 * [taylor]: Taking taylor expansion of 2 in n 6.261 * [backup-simplify]: Simplify 2 into 2 6.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.261 * [taylor]: Taking taylor expansion of n in n 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.263 * [backup-simplify]: Simplify (- 0) into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (- 0) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.269 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.269 * [taylor]: Taking taylor expansion of 2 in n 6.269 * [backup-simplify]: Simplify 2 into 2 6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.269 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.269 * [taylor]: Taking taylor expansion of n in n 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.276 * [backup-simplify]: Simplify (- 0) into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify (- 0) into 0 6.278 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 6.283 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.283 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.283 * [taylor]: Taking taylor expansion of 2 in n 6.283 * [backup-simplify]: Simplify 2 into 2 6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.283 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.283 * [taylor]: Taking taylor expansion of n in n 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (* 1 1) into 1 6.284 * [backup-simplify]: Simplify (* 1 1) into 1 6.284 * [backup-simplify]: Simplify (/ 1 1) into 1 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 1 into 1 6.293 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.294 * [backup-simplify]: Simplify (log (exp (/ (- 1) (/ (- f n) (+ f n))))) into (* -1 (/ (+ n f) (- f n))) 6.294 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.294 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.294 * [taylor]: Taking taylor expansion of -1 in n 6.294 * [backup-simplify]: Simplify -1 into -1 6.294 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.294 * [taylor]: Taking taylor expansion of (+ n f) in n 6.294 * [taylor]: Taking taylor expansion of n in n 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [taylor]: Taking taylor expansion of f in n 6.294 * [backup-simplify]: Simplify f into f 6.294 * [taylor]: Taking taylor expansion of (- f n) in n 6.294 * [taylor]: Taking taylor expansion of f in n 6.295 * [backup-simplify]: Simplify f into f 6.295 * [taylor]: Taking taylor expansion of n in n 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (+ 0 f) into f 6.295 * [backup-simplify]: Simplify (- 0) into 0 6.295 * [backup-simplify]: Simplify (+ f 0) into f 6.295 * [backup-simplify]: Simplify (/ f f) into 1 6.295 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.295 * [taylor]: Taking taylor expansion of -1 in f 6.295 * [backup-simplify]: Simplify -1 into -1 6.295 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.295 * [taylor]: Taking taylor expansion of (+ n f) in f 6.295 * [taylor]: Taking taylor expansion of n in f 6.295 * [backup-simplify]: Simplify n into n 6.295 * [taylor]: Taking taylor expansion of f in f 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [taylor]: Taking taylor expansion of (- f n) in f 6.295 * [taylor]: Taking taylor expansion of f in f 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [taylor]: Taking taylor expansion of n in f 6.296 * [backup-simplify]: Simplify n into n 6.296 * [backup-simplify]: Simplify (+ n 0) into n 6.296 * [backup-simplify]: Simplify (- n) into (- n) 6.296 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.296 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.296 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.296 * [taylor]: Taking taylor expansion of -1 in f 6.296 * [backup-simplify]: Simplify -1 into -1 6.296 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.296 * [taylor]: Taking taylor expansion of (+ n f) in f 6.296 * [taylor]: Taking taylor expansion of n in f 6.296 * [backup-simplify]: Simplify n into n 6.296 * [taylor]: Taking taylor expansion of f in f 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [taylor]: Taking taylor expansion of (- f n) in f 6.296 * [taylor]: Taking taylor expansion of f in f 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.296 * [taylor]: Taking taylor expansion of n in f 6.296 * [backup-simplify]: Simplify n into n 6.296 * [backup-simplify]: Simplify (+ n 0) into n 6.296 * [backup-simplify]: Simplify (- n) into (- n) 6.296 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.297 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.297 * [backup-simplify]: Simplify (* -1 -1) into 1 6.297 * [taylor]: Taking taylor expansion of 1 in n 6.297 * [backup-simplify]: Simplify 1 into 1 6.297 * [backup-simplify]: Simplify 1 into 1 6.298 * [backup-simplify]: Simplify (+ 0 1) into 1 6.298 * [backup-simplify]: Simplify (- 0) into 0 6.298 * [backup-simplify]: Simplify (+ 1 0) into 1 6.299 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.299 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.299 * [taylor]: Taking taylor expansion of 2 in n 6.299 * [backup-simplify]: Simplify 2 into 2 6.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.299 * [taylor]: Taking taylor expansion of n in n 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (+ 0 0) into 0 6.302 * [backup-simplify]: Simplify (- 0) into 0 6.302 * [backup-simplify]: Simplify (+ 0 0) into 0 6.303 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.304 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.304 * [taylor]: Taking taylor expansion of 2 in n 6.304 * [backup-simplify]: Simplify 2 into 2 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.304 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.304 * [taylor]: Taking taylor expansion of n in n 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.304 * [backup-simplify]: Simplify (* 1 1) into 1 6.305 * [backup-simplify]: Simplify (/ 1 1) into 1 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.312 * [backup-simplify]: Simplify (- 0) into 0 6.312 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.315 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.315 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.315 * [taylor]: Taking taylor expansion of 2 in n 6.315 * [backup-simplify]: Simplify 2 into 2 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.315 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.315 * [taylor]: Taking taylor expansion of n in n 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (/ 1 1) into 1 6.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.324 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (log (exp (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.324 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.324 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.325 * [taylor]: Taking taylor expansion of -1 in n 6.325 * [backup-simplify]: Simplify -1 into -1 6.325 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.325 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.325 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.325 * [taylor]: Taking taylor expansion of f in n 6.325 * [backup-simplify]: Simplify f into f 6.325 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.325 * [taylor]: Taking taylor expansion of n in n 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify (/ 1 1) into 1 6.325 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.325 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.325 * [taylor]: Taking taylor expansion of f in n 6.325 * [backup-simplify]: Simplify f into f 6.325 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.325 * [taylor]: Taking taylor expansion of n in n 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify (/ 1 1) into 1 6.326 * [backup-simplify]: Simplify (+ 0 1) into 1 6.326 * [backup-simplify]: Simplify (- 1) into -1 6.326 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.327 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.327 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.327 * [taylor]: Taking taylor expansion of -1 in f 6.327 * [backup-simplify]: Simplify -1 into -1 6.327 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.327 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.327 * [taylor]: Taking taylor expansion of f in f 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.327 * [backup-simplify]: Simplify (/ 1 1) into 1 6.327 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.327 * [taylor]: Taking taylor expansion of n in f 6.327 * [backup-simplify]: Simplify n into n 6.327 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.327 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.327 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.327 * [taylor]: Taking taylor expansion of f in f 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (/ 1 1) into 1 6.328 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.328 * [taylor]: Taking taylor expansion of n in f 6.328 * [backup-simplify]: Simplify n into n 6.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.328 * [backup-simplify]: Simplify (+ 1 0) into 1 6.328 * [backup-simplify]: Simplify (+ 1 0) into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.329 * [taylor]: Taking taylor expansion of -1 in f 6.329 * [backup-simplify]: Simplify -1 into -1 6.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.329 * [taylor]: Taking taylor expansion of f in f 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.329 * [taylor]: Taking taylor expansion of n in f 6.329 * [backup-simplify]: Simplify n into n 6.329 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.329 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.329 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.329 * [taylor]: Taking taylor expansion of f in f 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.329 * [taylor]: Taking taylor expansion of n in f 6.329 * [backup-simplify]: Simplify n into n 6.330 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.330 * [backup-simplify]: Simplify (+ 1 0) into 1 6.330 * [backup-simplify]: Simplify (+ 1 0) into 1 6.330 * [backup-simplify]: Simplify (/ 1 1) into 1 6.331 * [backup-simplify]: Simplify (* -1 1) into -1 6.331 * [taylor]: Taking taylor expansion of -1 in n 6.331 * [backup-simplify]: Simplify -1 into -1 6.331 * [backup-simplify]: Simplify -1 into -1 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.332 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.332 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.332 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.332 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.332 * [taylor]: Taking taylor expansion of 2 in n 6.332 * [backup-simplify]: Simplify 2 into 2 6.332 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.332 * [taylor]: Taking taylor expansion of n in n 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.334 * [backup-simplify]: Simplify (- 0) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.335 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.335 * [backup-simplify]: Simplify (- 0) into 0 6.336 * [backup-simplify]: Simplify (+ 0 0) into 0 6.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.337 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.337 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.337 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.337 * [taylor]: Taking taylor expansion of 2 in n 6.337 * [backup-simplify]: Simplify 2 into 2 6.337 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.337 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.337 * [taylor]: Taking taylor expansion of n in n 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (* 1 1) into 1 6.337 * [backup-simplify]: Simplify (/ 1 1) into 1 6.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.340 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.341 * [backup-simplify]: Simplify (- 0) into 0 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.342 * [backup-simplify]: Simplify (+ 0 0) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.343 * [backup-simplify]: Simplify (- 0) into 0 6.343 * [backup-simplify]: Simplify (+ 0 0) into 0 6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.348 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.348 * [taylor]: Taking taylor expansion of 2 in n 6.348 * [backup-simplify]: Simplify 2 into 2 6.348 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.348 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.348 * [taylor]: Taking taylor expansion of n in n 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.348 * [backup-simplify]: Simplify (* 1 1) into 1 6.348 * [backup-simplify]: Simplify (* 1 1) into 1 6.348 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (- 0) into 0 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify -1 into -1 6.354 * [backup-simplify]: Simplify (log (exp (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.354 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.354 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.354 * [taylor]: Taking taylor expansion of f in n 6.354 * [backup-simplify]: Simplify f into f 6.354 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.354 * [taylor]: Taking taylor expansion of n in n 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (/ 1 1) into 1 6.355 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.355 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.355 * [taylor]: Taking taylor expansion of n in n 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (/ 1 1) into 1 6.355 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.355 * [taylor]: Taking taylor expansion of f in n 6.355 * [backup-simplify]: Simplify f into f 6.355 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.355 * [backup-simplify]: Simplify (+ 0 1) into 1 6.356 * [backup-simplify]: Simplify (+ 1 0) into 1 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.356 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.356 * [taylor]: Taking taylor expansion of f in f 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.356 * [taylor]: Taking taylor expansion of n in f 6.356 * [backup-simplify]: Simplify n into n 6.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.356 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.356 * [taylor]: Taking taylor expansion of n in f 6.356 * [backup-simplify]: Simplify n into n 6.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.357 * [taylor]: Taking taylor expansion of f in f 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [backup-simplify]: Simplify (+ 1 0) into 1 6.357 * [backup-simplify]: Simplify (- 1) into -1 6.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.358 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.358 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.358 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.358 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.358 * [taylor]: Taking taylor expansion of f in f 6.358 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify 1 into 1 6.358 * [backup-simplify]: Simplify (/ 1 1) into 1 6.358 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.358 * [taylor]: Taking taylor expansion of n in f 6.358 * [backup-simplify]: Simplify n into n 6.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.359 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.359 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.359 * [taylor]: Taking taylor expansion of n in f 6.359 * [backup-simplify]: Simplify n into n 6.359 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.359 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.359 * [taylor]: Taking taylor expansion of f in f 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (/ 1 1) into 1 6.360 * [backup-simplify]: Simplify (+ 1 0) into 1 6.360 * [backup-simplify]: Simplify (- 1) into -1 6.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.361 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.361 * [taylor]: Taking taylor expansion of -1 in n 6.361 * [backup-simplify]: Simplify -1 into -1 6.361 * [backup-simplify]: Simplify -1 into -1 6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.363 * [backup-simplify]: Simplify (- 0) into 0 6.363 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.364 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.364 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.364 * [taylor]: Taking taylor expansion of 2 in n 6.364 * [backup-simplify]: Simplify 2 into 2 6.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.364 * [taylor]: Taking taylor expansion of n in n 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify 1 into 1 6.364 * [backup-simplify]: Simplify (/ 1 1) into 1 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.366 * [backup-simplify]: Simplify (- 0) into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.368 * [backup-simplify]: Simplify (+ 0 0) into 0 6.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.369 * [backup-simplify]: Simplify (- 0) into 0 6.369 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.371 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.371 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.371 * [taylor]: Taking taylor expansion of 2 in n 6.371 * [backup-simplify]: Simplify 2 into 2 6.371 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.371 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.371 * [taylor]: Taking taylor expansion of n in n 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.371 * [backup-simplify]: Simplify (* 1 1) into 1 6.372 * [backup-simplify]: Simplify (/ 1 1) into 1 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.375 * [backup-simplify]: Simplify (- 0) into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.376 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.376 * [backup-simplify]: Simplify (- 0) into 0 6.376 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.378 * [backup-simplify]: Simplify (- 0) into 0 6.378 * [backup-simplify]: Simplify (+ 0 0) into 0 6.380 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.380 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.380 * [taylor]: Taking taylor expansion of 2 in n 6.380 * [backup-simplify]: Simplify 2 into 2 6.380 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.380 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.380 * [taylor]: Taking taylor expansion of n in n 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (* 1 1) into 1 6.380 * [backup-simplify]: Simplify (* 1 1) into 1 6.380 * [backup-simplify]: Simplify (/ 1 1) into 1 6.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (- 0) into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify -1 into -1 6.386 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.386 * [backup-simplify]: Simplify (exp (/ (- 1) (/ (- f n) (+ f n)))) into (exp (* -1 (/ (+ n f) (- f n)))) 6.386 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 6.386 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 6.386 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.386 * [taylor]: Taking taylor expansion of -1 in n 6.386 * [backup-simplify]: Simplify -1 into -1 6.386 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.386 * [taylor]: Taking taylor expansion of (+ n f) in n 6.386 * [taylor]: Taking taylor expansion of n in n 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.386 * [taylor]: Taking taylor expansion of f in n 6.386 * [backup-simplify]: Simplify f into f 6.386 * [taylor]: Taking taylor expansion of (- f n) in n 6.386 * [taylor]: Taking taylor expansion of f in n 6.386 * [backup-simplify]: Simplify f into f 6.386 * [taylor]: Taking taylor expansion of n in n 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.386 * [backup-simplify]: Simplify (+ 0 f) into f 6.387 * [backup-simplify]: Simplify (- 0) into 0 6.387 * [backup-simplify]: Simplify (+ f 0) into f 6.387 * [backup-simplify]: Simplify (/ f f) into 1 6.387 * [backup-simplify]: Simplify (* -1 1) into -1 6.387 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.387 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.387 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.387 * [taylor]: Taking taylor expansion of -1 in f 6.387 * [backup-simplify]: Simplify -1 into -1 6.387 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.387 * [taylor]: Taking taylor expansion of (+ n f) in f 6.387 * [taylor]: Taking taylor expansion of n in f 6.387 * [backup-simplify]: Simplify n into n 6.387 * [taylor]: Taking taylor expansion of f in f 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of (- f n) in f 6.388 * [taylor]: Taking taylor expansion of f in f 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of n in f 6.388 * [backup-simplify]: Simplify n into n 6.388 * [backup-simplify]: Simplify (+ n 0) into n 6.388 * [backup-simplify]: Simplify (- n) into (- n) 6.388 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.388 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.388 * [backup-simplify]: Simplify (* -1 -1) into 1 6.388 * [backup-simplify]: Simplify (exp 1) into E 6.388 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.388 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.388 * [taylor]: Taking taylor expansion of -1 in f 6.388 * [backup-simplify]: Simplify -1 into -1 6.388 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.388 * [taylor]: Taking taylor expansion of (+ n f) in f 6.388 * [taylor]: Taking taylor expansion of n in f 6.388 * [backup-simplify]: Simplify n into n 6.388 * [taylor]: Taking taylor expansion of f in f 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of (- f n) in f 6.388 * [taylor]: Taking taylor expansion of f in f 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of n in f 6.388 * [backup-simplify]: Simplify n into n 6.388 * [backup-simplify]: Simplify (+ n 0) into n 6.388 * [backup-simplify]: Simplify (- n) into (- n) 6.388 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.388 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.389 * [backup-simplify]: Simplify (* -1 -1) into 1 6.389 * [backup-simplify]: Simplify (exp 1) into E 6.389 * [taylor]: Taking taylor expansion of E in n 6.389 * [backup-simplify]: Simplify E into E 6.389 * [backup-simplify]: Simplify E into E 6.389 * [backup-simplify]: Simplify (+ 0 1) into 1 6.389 * [backup-simplify]: Simplify (- 0) into 0 6.390 * [backup-simplify]: Simplify (+ 1 0) into 1 6.390 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.390 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.390 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 6.390 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 6.390 * [taylor]: Taking taylor expansion of 2 in n 6.390 * [backup-simplify]: Simplify 2 into 2 6.390 * [taylor]: Taking taylor expansion of (/ E n) in n 6.390 * [taylor]: Taking taylor expansion of E in n 6.390 * [backup-simplify]: Simplify E into E 6.390 * [taylor]: Taking taylor expansion of n in n 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.391 * [backup-simplify]: Simplify (/ E 1) into E 6.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (- 0) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.393 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.394 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 6.394 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 6.394 * [taylor]: Taking taylor expansion of 4 in n 6.394 * [backup-simplify]: Simplify 4 into 4 6.394 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 6.394 * [taylor]: Taking taylor expansion of E in n 6.394 * [backup-simplify]: Simplify E into E 6.394 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.394 * [taylor]: Taking taylor expansion of n in n 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [backup-simplify]: Simplify (* 1 1) into 1 6.394 * [backup-simplify]: Simplify (/ E 1) into E 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.398 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 6.398 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify (+ 0 0) into 0 6.399 * [backup-simplify]: Simplify (- 0) into 0 6.399 * [backup-simplify]: Simplify (+ 0 0) into 0 6.400 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.400 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.401 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 6.401 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 6.401 * [taylor]: Taking taylor expansion of 22/3 in n 6.401 * [backup-simplify]: Simplify 22/3 into 22/3 6.401 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 6.401 * [taylor]: Taking taylor expansion of E in n 6.401 * [backup-simplify]: Simplify E into E 6.401 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.401 * [taylor]: Taking taylor expansion of n in n 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.401 * [backup-simplify]: Simplify (* 1 1) into 1 6.401 * [backup-simplify]: Simplify (* 1 1) into 1 6.402 * [backup-simplify]: Simplify (/ E 1) into E 6.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.407 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify E into E 6.408 * [backup-simplify]: Simplify (exp (/ (- 1) (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 6.408 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 6.408 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 6.408 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.408 * [taylor]: Taking taylor expansion of -1 in n 6.408 * [backup-simplify]: Simplify -1 into -1 6.408 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.408 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.408 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.408 * [taylor]: Taking taylor expansion of f in n 6.408 * [backup-simplify]: Simplify f into f 6.408 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.408 * [taylor]: Taking taylor expansion of n in n 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (/ 1 1) into 1 6.408 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.408 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.408 * [taylor]: Taking taylor expansion of f in n 6.408 * [backup-simplify]: Simplify f into f 6.408 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.408 * [taylor]: Taking taylor expansion of n in n 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.409 * [backup-simplify]: Simplify (/ 1 1) into 1 6.409 * [backup-simplify]: Simplify (+ 0 1) into 1 6.409 * [backup-simplify]: Simplify (- 1) into -1 6.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.410 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.410 * [backup-simplify]: Simplify (* -1 -1) into 1 6.410 * [backup-simplify]: Simplify (exp 1) into E 6.410 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.410 * [taylor]: Taking taylor expansion of -1 in f 6.410 * [backup-simplify]: Simplify -1 into -1 6.410 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.410 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.410 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.410 * [taylor]: Taking taylor expansion of f in f 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [backup-simplify]: Simplify (/ 1 1) into 1 6.411 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.411 * [taylor]: Taking taylor expansion of n in f 6.411 * [backup-simplify]: Simplify n into n 6.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.411 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.411 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.411 * [taylor]: Taking taylor expansion of f in f 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (/ 1 1) into 1 6.411 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.411 * [taylor]: Taking taylor expansion of n in f 6.411 * [backup-simplify]: Simplify n into n 6.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.411 * [backup-simplify]: Simplify (+ 1 0) into 1 6.412 * [backup-simplify]: Simplify (+ 1 0) into 1 6.412 * [backup-simplify]: Simplify (/ 1 1) into 1 6.412 * [backup-simplify]: Simplify (* -1 1) into -1 6.412 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.412 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.412 * [taylor]: Taking taylor expansion of -1 in f 6.412 * [backup-simplify]: Simplify -1 into -1 6.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.412 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.412 * [taylor]: Taking taylor expansion of f in f 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify (/ 1 1) into 1 6.413 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.413 * [taylor]: Taking taylor expansion of n in f 6.413 * [backup-simplify]: Simplify n into n 6.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.413 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.413 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.413 * [taylor]: Taking taylor expansion of f in f 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify (/ 1 1) into 1 6.413 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.413 * [taylor]: Taking taylor expansion of n in f 6.413 * [backup-simplify]: Simplify n into n 6.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.413 * [backup-simplify]: Simplify (+ 1 0) into 1 6.414 * [backup-simplify]: Simplify (+ 1 0) into 1 6.414 * [backup-simplify]: Simplify (/ 1 1) into 1 6.414 * [backup-simplify]: Simplify (* -1 1) into -1 6.414 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.415 * [taylor]: Taking taylor expansion of (exp -1) in n 6.415 * [taylor]: Taking taylor expansion of -1 in n 6.415 * [backup-simplify]: Simplify -1 into -1 6.415 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.415 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.416 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.416 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.417 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.417 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.417 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 6.417 * [taylor]: Taking taylor expansion of -2 in n 6.417 * [backup-simplify]: Simplify -2 into -2 6.417 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.417 * [taylor]: Taking taylor expansion of (exp -1) in n 6.417 * [taylor]: Taking taylor expansion of -1 in n 6.417 * [backup-simplify]: Simplify -1 into -1 6.418 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.418 * [taylor]: Taking taylor expansion of n in n 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.419 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.423 * [backup-simplify]: Simplify (- 0) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.424 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.425 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.425 * [taylor]: Taking taylor expansion of 0 in n 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.432 * [backup-simplify]: Simplify (+ 0 0) into 0 6.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.434 * [backup-simplify]: Simplify (- 0) into 0 6.434 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.437 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.439 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 6.439 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 6.439 * [taylor]: Taking taylor expansion of 2/3 in n 6.439 * [backup-simplify]: Simplify 2/3 into 2/3 6.439 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.439 * [taylor]: Taking taylor expansion of (exp -1) in n 6.439 * [taylor]: Taking taylor expansion of -1 in n 6.439 * [backup-simplify]: Simplify -1 into -1 6.440 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.440 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.440 * [taylor]: Taking taylor expansion of n in n 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.444 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.449 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.456 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.462 * [backup-simplify]: Simplify (exp (/ (- 1) (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 6.462 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 6.462 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 6.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.462 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.462 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.462 * [taylor]: Taking taylor expansion of f in n 6.462 * [backup-simplify]: Simplify f into f 6.463 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.463 * [taylor]: Taking taylor expansion of n in n 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (/ 1 1) into 1 6.463 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.463 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.463 * [taylor]: Taking taylor expansion of n in n 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (/ 1 1) into 1 6.464 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.464 * [taylor]: Taking taylor expansion of f in n 6.464 * [backup-simplify]: Simplify f into f 6.464 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.464 * [backup-simplify]: Simplify (+ 0 1) into 1 6.464 * [backup-simplify]: Simplify (+ 1 0) into 1 6.465 * [backup-simplify]: Simplify (/ 1 1) into 1 6.465 * [backup-simplify]: Simplify (exp 1) into E 6.465 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 6.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.465 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.465 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.465 * [taylor]: Taking taylor expansion of f in f 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (/ 1 1) into 1 6.465 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.465 * [taylor]: Taking taylor expansion of n in f 6.466 * [backup-simplify]: Simplify n into n 6.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.466 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.466 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.466 * [taylor]: Taking taylor expansion of n in f 6.466 * [backup-simplify]: Simplify n into n 6.466 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.466 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.466 * [taylor]: Taking taylor expansion of f in f 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [backup-simplify]: Simplify (+ 1 0) into 1 6.467 * [backup-simplify]: Simplify (- 1) into -1 6.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.468 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.468 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.468 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 6.468 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.468 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.468 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.468 * [taylor]: Taking taylor expansion of f in f 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (/ 1 1) into 1 6.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.469 * [taylor]: Taking taylor expansion of n in f 6.469 * [backup-simplify]: Simplify n into n 6.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.469 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.469 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.469 * [taylor]: Taking taylor expansion of n in f 6.469 * [backup-simplify]: Simplify n into n 6.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.469 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.469 * [taylor]: Taking taylor expansion of f in f 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [backup-simplify]: Simplify (+ 1 0) into 1 6.470 * [backup-simplify]: Simplify (- 1) into -1 6.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.471 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.471 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.471 * [taylor]: Taking taylor expansion of (exp -1) in n 6.471 * [taylor]: Taking taylor expansion of -1 in n 6.471 * [backup-simplify]: Simplify -1 into -1 6.471 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.472 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.473 * [backup-simplify]: Simplify (- 0) into 0 6.473 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.473 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.474 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.474 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 6.474 * [taylor]: Taking taylor expansion of -2 in n 6.474 * [backup-simplify]: Simplify -2 into -2 6.474 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.474 * [taylor]: Taking taylor expansion of (exp -1) in n 6.474 * [taylor]: Taking taylor expansion of -1 in n 6.474 * [backup-simplify]: Simplify -1 into -1 6.474 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.474 * [taylor]: Taking taylor expansion of n in n 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.475 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 6.476 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.477 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify (- 0) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.480 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.480 * [taylor]: Taking taylor expansion of 0 in n 6.480 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify 0 into 0 6.481 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.483 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.483 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (- 0) into 0 6.486 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.488 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 6.488 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 6.488 * [taylor]: Taking taylor expansion of 2/3 in n 6.488 * [backup-simplify]: Simplify 2/3 into 2/3 6.488 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 6.488 * [taylor]: Taking taylor expansion of (exp -1) in n 6.488 * [taylor]: Taking taylor expansion of -1 in n 6.488 * [backup-simplify]: Simplify -1 into -1 6.488 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.488 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.488 * [taylor]: Taking taylor expansion of n in n 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.491 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.498 * * * [progress]: simplifying candidates 6.522 * [simplify]: Simplifying: (expm1 (/ (- 1) (/ (- f n) (+ f n)))) (log1p (/ (- 1) (/ (- f n) (+ f n)))) (- (log (- 1)) (- (log (- f n)) (log (+ f n)))) (- (log (- 1)) (log (/ (- f n) (+ 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) (- 1)) (- 1)) (* (* (/ (- f n) (+ f n)) (/ (- 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)) (- (/ (- f n) (+ f n))) (/ 0 (/ (- f n) (+ f n))) (/ 1 (/ (- f n) (+ f n))) (/ 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6.560 * * [simplify]: Extracting # 1 : cost 0 6.561 * * [simplify]: Extracting # 2 : cost 0 6.562 * * [simplify]: Extracting # 3 : cost 0 6.564 * * [simplify]: Extracting # 4 : cost 0 6.565 * * [simplify]: Extracting # 5 : cost 0 6.566 * * [simplify]: Extracting # 6 : cost 0 6.568 * * [simplify]: Extracting # 7 : cost 0 6.569 * * [simplify]: Extracting # 8 : cost 0 6.570 * * [simplify]: iteration 0 : 762 enodes (cost 15555 ) 6.929 * * [simplify]: Extracting # 0 : cost 0 6.933 * * [simplify]: Extracting # 1 : cost 0 6.936 * * [simplify]: Extracting # 2 : cost 0 6.938 * * [simplify]: Extracting # 3 : cost 0 6.940 * * [simplify]: Extracting # 4 : cost 0 6.942 * * [simplify]: iteration 1 : 1672 enodes (cost 11971 ) 7.364 * * [simplify]: Extracting # 0 : cost 0 7.372 * * [simplify]: Extracting # 1 : cost 0 7.385 * * [simplify]: Extracting # 2 : cost 0 7.407 * * [simplify]: Extracting # 3 : cost 0 7.419 * * [simplify]: Extracting # 4 : cost 0 7.432 * * [simplify]: iteration done: 5000 enodes 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n)))) 1 (exp (/ 1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n))) (exp (exp (/ -1 (/ (- f n) (+ f n))))) (* (cbrt (exp (/ -1 (/ (- f n) (+ f n))))) (cbrt (exp (/ -1 (/ (- f n) (+ f n)))))) (cbrt (exp (/ -1 (/ (- f n) (+ f n))))) (pow (exp (/ -1 (/ (- f n) (+ f n)))) 3) (sqrt (exp (/ -1 (/ (- f n) (+ f n))))) (sqrt (exp (/ -1 (/ (- f n) (+ f n))))) 1 -1 -1 -1 1 1 1 -1 -1 E (exp -1) (exp -1) 7.452 * * * [progress]: adding candidates to table 9.817 * [progress]: [Phase 3 of 3] Extracting. 9.817 * * [regime]: Finding splitpoints for: (# # # #) 9.820 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 9.821 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # #) 9.847 * * * * [regimes]: Trying to branch on n from (# # # #) 9.868 * * * * [regimes]: Trying to branch on f from (# # # #) 9.902 * * * [regime]: Found split indices: #