0.892 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.069 * * [simplify]: iteration 0: 6 enodes 0.112 * * [simplify]: iteration 1: 13 enodes 0.115 * * [simplify]: iteration 2: 16 enodes 0.119 * * [simplify]: iteration 3: 20 enodes 0.123 * * [simplify]: iteration 4: 26 enodes 0.129 * * [simplify]: iteration 5: 30 enodes 0.135 * * [simplify]: iteration 6: 32 enodes 0.141 * * [simplify]: iteration complete: 32 enodes 0.142 * * [simplify]: Extracting #0: cost 1 inf + 0 0.142 * * [simplify]: Extracting #1: cost 9 inf + 0 0.142 * * [simplify]: Extracting #2: cost 14 inf + 0 0.143 * * [simplify]: Extracting #3: cost 11 inf + 43 0.143 * * [simplify]: Extracting #4: cost 2 inf + 860 0.144 * * [simplify]: Extracting #5: cost 0 inf + 1104 0.144 * [simplify]: Simplified to: (/ (- (+ n f)) (- f n)) 0.147 * * [progress]: iteration 1 / 4 0.147 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.247 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.247 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.247 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.247 * [taylor]: Taking taylor expansion of -1 in n 0.247 * [backup-simplify]: Simplify -1 into -1 0.247 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.247 * [taylor]: Taking taylor expansion of (+ n f) in n 0.247 * [taylor]: Taking taylor expansion of n in n 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of f in n 0.248 * [backup-simplify]: Simplify f into f 0.248 * [taylor]: Taking taylor expansion of (- f n) in n 0.248 * [taylor]: Taking taylor expansion of f in n 0.248 * [backup-simplify]: Simplify f into f 0.248 * [taylor]: Taking taylor expansion of n in n 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ 0 f) into f 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ f 0) into f 0.249 * [backup-simplify]: Simplify (/ f f) into 1 0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.249 * [taylor]: Taking taylor expansion of -1 in f 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.249 * [taylor]: Taking taylor expansion of (+ n f) in f 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (- f n) in f 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [backup-simplify]: Simplify (+ n 0) into n 0.249 * [backup-simplify]: Simplify (- n) into (- n) 0.249 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.249 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.249 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.249 * [taylor]: Taking taylor expansion of -1 in f 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.249 * [taylor]: Taking taylor expansion of (+ n f) in f 0.249 * [taylor]: Taking taylor expansion of n in f 0.249 * [backup-simplify]: Simplify n into n 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (- f n) in f 0.249 * [taylor]: Taking taylor expansion of f in f 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of n in f 0.250 * [backup-simplify]: Simplify n into n 0.250 * [backup-simplify]: Simplify (+ n 0) into n 0.250 * [backup-simplify]: Simplify (- n) into (- n) 0.250 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.250 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.250 * [backup-simplify]: Simplify (* -1 -1) into 1 0.250 * [taylor]: Taking taylor expansion of 1 in n 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.252 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.252 * [taylor]: Taking taylor expansion of 2 in n 0.252 * [backup-simplify]: Simplify 2 into 2 0.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.256 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.256 * [taylor]: Taking taylor expansion of 2 in n 0.256 * [backup-simplify]: Simplify 2 into 2 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.256 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.256 * [taylor]: Taking taylor expansion of n in n 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [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)))) 0.262 * [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))) 0.262 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.262 * [taylor]: Taking taylor expansion of 2 in n 0.262 * [backup-simplify]: Simplify 2 into 2 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.262 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.262 * [taylor]: Taking taylor expansion of n in n 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.271 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.271 * [taylor]: Taking taylor expansion of -1 in n 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.271 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.272 * [taylor]: Taking taylor expansion of f in n 0.272 * [backup-simplify]: Simplify f into f 0.272 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.272 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.272 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.272 * [taylor]: Taking taylor expansion of f in n 0.273 * [backup-simplify]: Simplify f into f 0.273 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.275 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.275 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.275 * [taylor]: Taking taylor expansion of -1 in f 0.275 * [backup-simplify]: Simplify -1 into -1 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.275 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.275 * [taylor]: Taking taylor expansion of f in f 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.276 * [taylor]: Taking taylor expansion of n in f 0.276 * [backup-simplify]: Simplify n into n 0.276 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.276 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.276 * [taylor]: Taking taylor expansion of f in f 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.276 * [taylor]: Taking taylor expansion of n in f 0.277 * [backup-simplify]: Simplify n into n 0.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.278 * [taylor]: Taking taylor expansion of -1 in f 0.278 * [backup-simplify]: Simplify -1 into -1 0.278 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.278 * [taylor]: Taking taylor expansion of f in f 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.279 * [taylor]: Taking taylor expansion of n in f 0.279 * [backup-simplify]: Simplify n into n 0.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.279 * [taylor]: Taking taylor expansion of f in f 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.279 * [taylor]: Taking taylor expansion of n in f 0.279 * [backup-simplify]: Simplify n into n 0.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (* -1 1) into -1 0.281 * [taylor]: Taking taylor expansion of -1 in n 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [backup-simplify]: Simplify -1 into -1 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.283 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.284 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.284 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) 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 n) 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 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.293 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.293 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.293 * [taylor]: Taking taylor expansion of 2 in n 0.293 * [backup-simplify]: Simplify 2 into 2 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.293 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [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))) 0.307 * [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 0.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.307 * [taylor]: Taking taylor expansion of 2 in n 0.307 * [backup-simplify]: Simplify 2 into 2 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.307 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.318 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.318 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.318 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.318 * [taylor]: Taking taylor expansion of f in n 0.318 * [backup-simplify]: Simplify f into f 0.318 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.318 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.319 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.319 * [taylor]: Taking taylor expansion of f in n 0.319 * [backup-simplify]: Simplify f into f 0.319 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.320 * [backup-simplify]: Simplify (+ 0 1) into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [backup-simplify]: Simplify n into n 0.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.321 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.321 * [taylor]: Taking taylor expansion of n in f 0.321 * [backup-simplify]: Simplify n into n 0.321 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.321 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.321 * [taylor]: Taking taylor expansion of f in f 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.323 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.323 * [backup-simplify]: Simplify n into n 0.323 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.323 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.323 * [taylor]: Taking taylor expansion of n in f 0.323 * [backup-simplify]: Simplify n into n 0.323 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.323 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.323 * [taylor]: Taking taylor expansion of f in f 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (- 1) into -1 0.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.324 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.324 * [taylor]: Taking taylor expansion of -1 in n 0.324 * [backup-simplify]: Simplify -1 into -1 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.326 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.326 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.326 * [taylor]: Taking taylor expansion of 2 in n 0.326 * [backup-simplify]: Simplify 2 into 2 0.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.330 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.330 * [taylor]: Taking taylor expansion of 2 in n 0.330 * [backup-simplify]: Simplify 2 into 2 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.330 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [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)))) 0.338 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.338 * [taylor]: Taking taylor expansion of 2 in n 0.338 * [backup-simplify]: Simplify 2 into 2 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.338 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify -1 into -1 0.344 * * * [progress]: simplifying candidates 0.346 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.347 * * [simplify]: iteration 0: 133 enodes 0.392 * * [simplify]: iteration 1: 311 enodes 0.449 * * [simplify]: iteration 2: 1064 enodes 0.856 * * [simplify]: iteration complete: 5002 enodes 0.856 * * [simplify]: Extracting #0: cost 86 inf + 0 0.857 * * [simplify]: Extracting #1: cost 588 inf + 3 0.860 * * [simplify]: Extracting #2: cost 1389 inf + 129 0.870 * * [simplify]: Extracting #3: cost 1982 inf + 10600 0.913 * * [simplify]: Extracting #4: cost 1214 inf + 164085 1.025 * * [simplify]: Extracting #5: cost 84 inf + 395506 1.112 * * [simplify]: Extracting #6: cost 27 inf + 408638 1.200 * * [simplify]: Extracting #7: cost 3 inf + 412977 1.292 * * [simplify]: Extracting #8: cost 0 inf + 413736 1.402 * [simplify]: Simplified to: (log (- (/ (+ f n) (- f n)))) (log (- (/ (+ f n) (- f n)))) (exp (- (/ (+ f n) (- f n)))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (- (/ (+ f n) (- f n)))) (* (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)) (* (/ (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))) (+ (sqrt n) (sqrt f))) (cbrt (- (+ f 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 n) (sqrt f))) (/ (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 n) (sqrt f))) (/ (- (+ 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 n) (sqrt f))) (/ (+ 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)) (sqrt (- f n)))) (cbrt (+ f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (- (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (cbrt (+ f n))) (/ (+ (sqrt n) (sqrt f)) (cbrt (+ f 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 n) (sqrt f)))) (/ (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 n) (sqrt f))) (/ (+ 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 n) (sqrt f))) (/ (+ 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)) (sqrt (- f n))) (cbrt (+ 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 n) (sqrt f))) (- (/ (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 n) (sqrt f))) (- (/ (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 n) (sqrt f))) (/ (- (+ 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 n) (sqrt f))) (/ (- (+ 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 n) (sqrt f)))) (- (+ 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) (- (* f (* f f)) (* n (* n n))))) (/ -1 (- f n)) (* (+ (* (- n f) n) (* f f)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 1.407 * * * [progress]: adding candidates to table 1.737 * * [progress]: iteration 2 / 4 1.737 * * * [progress]: picking best candidate 1.767 * * * * [pick]: Picked # 1.767 * * * [progress]: localizing error 1.787 * * * [progress]: generating rewritten candidates 1.787 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.807 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.834 * * * [progress]: generating series expansions 1.834 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.835 * [backup-simplify]: Simplify (/ (- f n) (+ f n)) into (/ (- f n) (+ n f)) 1.835 * [approximate]: Taking taylor expansion of (/ (- f n) (+ n f)) in (f n) around 0 1.835 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 1.835 * [taylor]: Taking taylor expansion of (- f n) in n 1.835 * [taylor]: Taking taylor expansion of f in n 1.835 * [backup-simplify]: Simplify f into f 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 1.835 * [taylor]: Taking taylor expansion of (+ n f) 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 1.835 * [taylor]: Taking taylor expansion of f in n 1.835 * [backup-simplify]: Simplify f into f 1.836 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ f 0) into f 1.836 * [backup-simplify]: Simplify (+ 0 f) into f 1.836 * [backup-simplify]: Simplify (/ f f) into 1 1.836 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.836 * [taylor]: Taking taylor expansion of (- f n) in f 1.836 * [taylor]: Taking taylor expansion of f in f 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [taylor]: Taking taylor expansion of n in f 1.836 * [backup-simplify]: Simplify n into n 1.836 * [taylor]: Taking taylor expansion of (+ n f) in f 1.836 * [taylor]: Taking taylor expansion of n in f 1.836 * [backup-simplify]: Simplify n into n 1.836 * [taylor]: Taking taylor expansion of f in f 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (- n) into (- n) 1.836 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.837 * [backup-simplify]: Simplify (+ n 0) into n 1.837 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.837 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 1.837 * [taylor]: Taking taylor expansion of (- f n) in f 1.837 * [taylor]: Taking taylor expansion of f in f 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [taylor]: Taking taylor expansion of n in f 1.837 * [backup-simplify]: Simplify n into n 1.837 * [taylor]: Taking taylor expansion of (+ n f) in f 1.837 * [taylor]: Taking taylor expansion of n in f 1.837 * [backup-simplify]: Simplify n into n 1.837 * [taylor]: Taking taylor expansion of f in f 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (- n) into (- n) 1.837 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.837 * [backup-simplify]: Simplify (+ n 0) into n 1.837 * [backup-simplify]: Simplify (/ (- n) n) into -1 1.837 * [taylor]: Taking taylor expansion of -1 in n 1.837 * [backup-simplify]: Simplify -1 into -1 1.837 * [backup-simplify]: Simplify -1 into -1 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify (+ 1 0) into 1 1.839 * [backup-simplify]: Simplify (+ 0 1) into 1 1.839 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 1.839 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.839 * [taylor]: Taking taylor expansion of 2 in n 1.839 * [backup-simplify]: Simplify 2 into 2 1.839 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 1.849 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.849 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.849 * [taylor]: Taking taylor expansion of 2 in n 1.849 * [backup-simplify]: Simplify 2 into 2 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.849 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.849 * [taylor]: Taking taylor expansion of n in n 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [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))) 1.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) 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 (pow n 3)) in n 1.858 * [taylor]: Taking taylor expansion of (pow n 3) 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 1) into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify -1 into -1 1.867 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) into (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) 1.867 * [approximate]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 1.867 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 1.867 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.867 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.867 * [taylor]: Taking taylor expansion of f in n 1.867 * [backup-simplify]: Simplify f into f 1.867 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.867 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.867 * [taylor]: Taking taylor expansion of n in n 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.868 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.868 * [taylor]: Taking taylor expansion of f in n 1.868 * [backup-simplify]: Simplify f into f 1.868 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.868 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.868 * [taylor]: Taking taylor expansion of n in n 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (- 1) into -1 1.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.869 * [backup-simplify]: Simplify (+ 0 1) into 1 1.869 * [backup-simplify]: Simplify (/ -1 1) into -1 1.869 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.869 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.869 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.869 * [taylor]: Taking taylor expansion of f in f 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.870 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.870 * [taylor]: Taking taylor expansion of n in f 1.870 * [backup-simplify]: Simplify n into n 1.870 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.870 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.870 * [taylor]: Taking taylor expansion of f in f 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.870 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.870 * [taylor]: Taking taylor expansion of n in f 1.870 * [backup-simplify]: Simplify n into n 1.870 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.870 * [backup-simplify]: Simplify (+ 1 0) into 1 1.871 * [backup-simplify]: Simplify (+ 1 0) into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 1.871 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.871 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.871 * [taylor]: Taking taylor expansion of f in f 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.871 * [taylor]: Taking taylor expansion of n in f 1.871 * [backup-simplify]: Simplify n into n 1.871 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.871 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.871 * [taylor]: Taking taylor expansion of f in f 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.872 * [taylor]: Taking taylor expansion of n in f 1.872 * [backup-simplify]: Simplify n into n 1.872 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [taylor]: Taking taylor expansion of 1 in n 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.873 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.874 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 1.874 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.874 * [taylor]: Taking taylor expansion of 2 in n 1.874 * [backup-simplify]: Simplify 2 into 2 1.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.875 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 1.878 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.878 * [taylor]: Taking taylor expansion of 2 in n 1.878 * [backup-simplify]: Simplify 2 into 2 1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.878 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [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)))) 1.886 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.886 * [taylor]: Taking taylor expansion of 2 in n 1.886 * [backup-simplify]: Simplify 2 into 2 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.886 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.886 * [taylor]: Taking taylor expansion of n in n 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1.893 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 1.893 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 1.893 * [taylor]: Taking taylor expansion of -1 in n 1.893 * [backup-simplify]: Simplify -1 into -1 1.893 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 1.893 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.893 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.893 * [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 1.894 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.894 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.894 * [taylor]: Taking taylor expansion of f in n 1.894 * [backup-simplify]: Simplify f into f 1.894 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.894 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.894 * [taylor]: Taking taylor expansion of n in n 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (+ 0 1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.895 * [taylor]: Taking taylor expansion of -1 in f 1.895 * [backup-simplify]: Simplify -1 into -1 1.895 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 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 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.896 * [taylor]: Taking taylor expansion of n in f 1.896 * [backup-simplify]: Simplify n into n 1.896 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.896 * [backup-simplify]: Simplify (- 1) into -1 1.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.896 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify (/ -1 1) into -1 1.897 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 1.897 * [taylor]: Taking taylor expansion of -1 in f 1.897 * [backup-simplify]: Simplify -1 into -1 1.897 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 1.897 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.897 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.897 * [taylor]: Taking taylor expansion of n in f 1.897 * [backup-simplify]: Simplify n into n 1.897 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.897 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.897 * [taylor]: Taking taylor expansion of f in f 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.897 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.897 * [taylor]: Taking taylor expansion of f in f 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [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 * [backup-simplify]: Simplify (- 1) into -1 1.898 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.898 * [backup-simplify]: Simplify (+ 1 0) into 1 1.899 * [backup-simplify]: Simplify (/ -1 1) into -1 1.899 * [backup-simplify]: Simplify (* -1 -1) into 1 1.899 * [taylor]: Taking taylor expansion of 1 in n 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.900 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 1.901 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 1.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.901 * [taylor]: Taking taylor expansion of 2 in n 1.901 * [backup-simplify]: Simplify 2 into 2 1.901 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.901 * [taylor]: Taking taylor expansion of n in n 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.906 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.906 * [taylor]: Taking taylor expansion of 2 in n 1.906 * [backup-simplify]: Simplify 2 into 2 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.906 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.906 * [taylor]: Taking taylor expansion of n in n 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* 1 1) into 1 1.906 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [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))) 1.914 * [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)))) 1.914 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.914 * [taylor]: Taking taylor expansion of 2 in n 1.914 * [backup-simplify]: Simplify 2 into 2 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.914 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (- 0) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.921 * [backup-simplify]: Simplify (/ -1 (/ (- f n) (+ f n))) into (* -1 (/ (+ n f) (- f n))) 1.921 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.921 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.921 * [taylor]: Taking taylor expansion of -1 in n 1.921 * [backup-simplify]: Simplify -1 into -1 1.921 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.921 * [taylor]: Taking taylor expansion of (+ n f) in n 1.921 * [taylor]: Taking taylor expansion of n in n 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of f in n 1.921 * [backup-simplify]: Simplify f into f 1.921 * [taylor]: Taking taylor expansion of (- f n) in n 1.921 * [taylor]: Taking taylor expansion of f in n 1.921 * [backup-simplify]: Simplify f into f 1.921 * [taylor]: Taking taylor expansion of n in n 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ 0 f) into f 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify (+ f 0) into f 1.922 * [backup-simplify]: Simplify (/ f f) into 1 1.922 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.922 * [taylor]: Taking taylor expansion of -1 in f 1.922 * [backup-simplify]: Simplify -1 into -1 1.922 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.922 * [taylor]: Taking taylor expansion of (+ n f) in f 1.922 * [taylor]: Taking taylor expansion of n in f 1.922 * [backup-simplify]: Simplify n into n 1.922 * [taylor]: Taking taylor expansion of f in f 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of (- f n) in f 1.922 * [taylor]: Taking taylor expansion of f in f 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of n in f 1.922 * [backup-simplify]: Simplify n into n 1.922 * [backup-simplify]: Simplify (+ n 0) into n 1.922 * [backup-simplify]: Simplify (- n) into (- n) 1.922 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.922 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.922 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.922 * [taylor]: Taking taylor expansion of -1 in f 1.922 * [backup-simplify]: Simplify -1 into -1 1.922 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.922 * [taylor]: Taking taylor expansion of (+ n f) in f 1.922 * [taylor]: Taking taylor expansion of n in f 1.922 * [backup-simplify]: Simplify n into n 1.922 * [taylor]: Taking taylor expansion of f in f 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of (- f n) in f 1.922 * [taylor]: Taking taylor expansion of f in f 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of n in f 1.922 * [backup-simplify]: Simplify n into n 1.922 * [backup-simplify]: Simplify (+ n 0) into n 1.922 * [backup-simplify]: Simplify (- n) into (- n) 1.922 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.923 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.923 * [backup-simplify]: Simplify (* -1 -1) into 1 1.923 * [taylor]: Taking taylor expansion of 1 in n 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (+ 0 1) into 1 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ 1 0) into 1 1.924 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.924 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.924 * [taylor]: Taking taylor expansion of 2 in n 1.924 * [backup-simplify]: Simplify 2 into 2 1.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.924 * [taylor]: Taking taylor expansion of n in n 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.927 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.927 * [taylor]: Taking taylor expansion of 2 in n 1.927 * [backup-simplify]: Simplify 2 into 2 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.927 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.927 * [taylor]: Taking taylor expansion of n in n 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [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)))) 1.933 * [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))) 1.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.933 * [taylor]: Taking taylor expansion of 2 in n 1.933 * [backup-simplify]: Simplify 2 into 2 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.933 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.933 * [taylor]: Taking taylor expansion of n in n 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [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 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.940 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.940 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.940 * [taylor]: Taking taylor expansion of -1 in n 1.940 * [backup-simplify]: Simplify -1 into -1 1.940 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.940 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.940 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.940 * [taylor]: Taking taylor expansion of f in n 1.940 * [backup-simplify]: Simplify f into f 1.940 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.940 * [taylor]: Taking taylor expansion of n in n 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.940 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.940 * [taylor]: Taking taylor expansion of f in n 1.940 * [backup-simplify]: Simplify f into f 1.940 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.940 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.940 * [taylor]: Taking taylor expansion of n in n 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (+ 0 1) into 1 1.941 * [backup-simplify]: Simplify (- 1) into -1 1.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.942 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.942 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.942 * [taylor]: Taking taylor expansion of -1 in f 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.942 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.942 * [taylor]: Taking taylor expansion of f in f 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.942 * [taylor]: Taking taylor expansion of n in f 1.942 * [backup-simplify]: Simplify n into n 1.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.942 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.942 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.942 * [taylor]: Taking taylor expansion of f in f 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.942 * [taylor]: Taking taylor expansion of n in f 1.942 * [backup-simplify]: Simplify n into n 1.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.943 * [backup-simplify]: Simplify (+ 1 0) into 1 1.944 * [backup-simplify]: Simplify (+ 1 0) into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 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 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.945 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.945 * [taylor]: Taking taylor expansion of n in f 1.945 * [backup-simplify]: Simplify n into n 1.945 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.945 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.945 * [taylor]: Taking taylor expansion of (/ 1 f) 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 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.946 * [taylor]: Taking taylor expansion of n in f 1.946 * [backup-simplify]: Simplify n into n 1.946 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (* -1 1) into -1 1.947 * [taylor]: Taking taylor expansion of -1 in n 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.948 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.948 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.948 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.948 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.949 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.949 * [taylor]: Taking taylor expansion of 2 in n 1.949 * [backup-simplify]: Simplify 2 into 2 1.949 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.949 * [taylor]: Taking taylor expansion of n in n 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.953 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.953 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.953 * [taylor]: Taking taylor expansion of 2 in n 1.953 * [backup-simplify]: Simplify 2 into 2 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.953 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.953 * [taylor]: Taking taylor expansion of n in n 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.958 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [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))) 1.962 * [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)))) 1.962 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.962 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.962 * [taylor]: Taking taylor expansion of 2 in n 1.962 * [backup-simplify]: Simplify 2 into 2 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.962 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify -1 into -1 1.969 * [backup-simplify]: Simplify (/ -1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.969 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.969 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.969 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.969 * [taylor]: Taking taylor expansion of f in n 1.969 * [backup-simplify]: Simplify f into f 1.969 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.969 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.969 * [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 1.970 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.970 * [taylor]: Taking taylor expansion of (/ 1 n) 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 1.970 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.970 * [taylor]: Taking taylor expansion of f in n 1.970 * [backup-simplify]: Simplify f into f 1.970 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.971 * [backup-simplify]: Simplify (+ 0 1) into 1 1.971 * [backup-simplify]: Simplify (+ 1 0) into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.971 * [taylor]: Taking taylor expansion of f in f 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.971 * [taylor]: Taking taylor expansion of n in f 1.972 * [backup-simplify]: Simplify n into n 1.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.972 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.972 * [taylor]: Taking taylor expansion of n in f 1.972 * [backup-simplify]: Simplify n into n 1.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.972 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.972 * [taylor]: Taking taylor expansion of f in f 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ 1 1) into 1 1.972 * [backup-simplify]: Simplify (+ 1 0) into 1 1.972 * [backup-simplify]: Simplify (- 1) into -1 1.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.973 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.973 * [taylor]: Taking taylor expansion of f in f 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.973 * [taylor]: Taking taylor expansion of n in f 1.973 * [backup-simplify]: Simplify n into n 1.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.974 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.974 * [taylor]: Taking taylor expansion of n in f 1.974 * [backup-simplify]: Simplify n into n 1.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.974 * [taylor]: Taking taylor expansion of f in f 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (- 1) into -1 1.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.975 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.975 * [taylor]: Taking taylor expansion of -1 in n 1.975 * [backup-simplify]: Simplify -1 into -1 1.975 * [backup-simplify]: Simplify -1 into -1 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.977 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.977 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.977 * [taylor]: Taking taylor expansion of 2 in n 1.977 * [backup-simplify]: Simplify 2 into 2 1.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.977 * [taylor]: Taking taylor expansion of n in n 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.981 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.981 * [taylor]: Taking taylor expansion of 2 in n 1.981 * [backup-simplify]: Simplify 2 into 2 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.981 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [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)))) 1.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.989 * [taylor]: Taking taylor expansion of 2 in n 1.989 * [backup-simplify]: Simplify 2 into 2 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.989 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.989 * [taylor]: Taking taylor expansion of n in n 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify -1 into -1 1.997 * * * [progress]: simplifying candidates 2.000 * [simplify]: Simplifying: (- (log (- f n)) (log (+ f n))) (log (/ (- f n) (+ f n))) (exp (/ (- f n) (+ f n))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))) (cbrt (/ (- f n) (+ f n))) (* (* (/ (- f n) (+ f n)) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (sqrt (/ (- f n) (+ f n))) (- (- f n)) (- (+ f n)) (/ f (+ f n)) (/ n (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 1) (/ (- f n) (+ f n)) (/ 1 (+ f n)) (/ (+ f n) (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (+ f n) (cbrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (- f n)) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (+ f n) (- f n)) (/ (- f n) (+ (pow f 3) (pow n 3))) (/ (- f n) (- (* f f) (* n n))) (* (+ f n) (+ (* f f) (+ (* n n) (* f n)))) (* (+ f n) (+ f n)) (- (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))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))) (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (/ (- f n) (+ f n)))) (/ (cbrt -1) (sqrt (/ (- f n) (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f 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+ 154881 3.706 * * [simplify]: Extracting #4: cost 112 inf + 283130 3.798 * * [simplify]: Extracting #5: cost 34 inf + 308584 3.862 * * [simplify]: Extracting #6: cost 19 inf + 312247 3.955 * * [simplify]: Extracting #7: cost 4 inf + 314352 4.066 * * [simplify]: Extracting #8: cost 0 inf + 315364 4.176 * [simplify]: Simplified to: (log (/ (- f n) (+ n f))) (log (/ (- f n) (+ n f))) (exp (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f))) (* (/ (- f n) (+ n f)) (* (/ (- f n) (+ n f)) (/ (- f n) (+ n f)))) (sqrt (/ (- f n) (+ n f))) (sqrt (/ (- f n) (+ n f))) (+ n (- f)) (- (+ n f)) (/ f (+ n f)) (/ n (+ n f)) (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f)))) (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (/ (sqrt (+ n f)) (cbrt (- f n)))) (/ (cbrt (- f n)) (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (+ n f)) (* (cbrt 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f))) (sqrt -1)) (* (/ (sqrt -1) (- f n)) (cbrt (+ n f))) (* (sqrt -1) (sqrt (+ n f))) (* (/ (sqrt -1) (- f n)) (sqrt (+ n f))) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (sqrt -1) (* (/ (sqrt -1) (- f n)) (+ n f)) (/ (sqrt -1) (- f n)) (* (+ n f) (sqrt -1)) (* (/ (sqrt -1) (- f n)) (+ (* n (* n n)) (* (* f f) f))) (/ (sqrt -1) (+ (* f f) (* (- n f) n))) (* (* (/ (sqrt -1) (- f n)) (+ n f)) (- f n)) (/ (sqrt -1) (- f n)) (/ (/ 1 (cbrt (/ (- f n) (+ n f)))) (cbrt (/ (- f n) (+ n f)))) (/ -1 (cbrt (/ (- f n) (+ n f)))) (/ 1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (* (/ (cbrt (+ n f)) (cbrt (- f n))) (/ (cbrt (+ n f)) (cbrt (- f n)))) (/ (- (cbrt (+ n f))) (cbrt (- f n))) (/ (sqrt (+ n f)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ n f))) (cbrt (- f n))) (* (/ 1 (cbrt (- f n))) (/ 1 (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (* (/ 1 (cbrt (- f n))) (/ 1 (cbrt (- f n)))) (/ (- (+ n f)) (cbrt (- f n))) (/ (* (cbrt 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(/ -1 (+ (* f f) (* (- n f) n))) (/ (* (+ f n) (- f n)) (- f n)) (/ -1 (- f n)) (/ (+ n f) (- f n)) (/ (- f n) (- (+ n f))) (/ -1 (* (cbrt (/ (- f n) (+ n f))) (cbrt (/ (- f n) (+ n f))))) (/ -1 (sqrt (/ (- f n) (+ n f)))) (/ -1 (* (/ (cbrt (- f n)) (cbrt (+ n f))) (/ (cbrt (- f n)) (cbrt (+ n f))))) (/ (- (sqrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ -1 (cbrt (- f n))) (cbrt (- f n))) (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (sqrt (- f n))) (/ (- (sqrt (+ n f))) (sqrt (- f n))) (/ -1 (sqrt (- f n))) (/ -1 (sqrt (- f n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 (/ (* (- (cbrt (+ n f))) (cbrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ n f))) (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (/ -1 (+ (sqrt f) (sqrt n))) (* (- (cbrt (+ n f))) (cbrt (+ n f))) (- (sqrt (+ n f))) -1 -1 -1 (/ -1 (- f n)) (/ (- (+ (* n (* n n)) (* (* f f) f))) (- f n)) (/ (- (* (+ f n) (- f n))) (- f n)) (/ (/ (- f n) (+ n f)) (cbrt -1)) (/ (/ (- f n) (+ n f)) (sqrt -1)) (/ (- f n) (- (+ n f))) (/ -1 (- f n)) -1 1 1 1 -1 -1 4.199 * * * [progress]: adding candidates to table 4.923 * * [progress]: iteration 3 / 4 4.923 * * * [progress]: picking best candidate 4.933 * * * * [pick]: Picked # 4.933 * * * [progress]: localizing error 4.949 * * * [progress]: generating rewritten candidates 4.949 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.022 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.115 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 5.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.142 * * * [progress]: generating series expansions 5.142 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.143 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ n (+ f n))) into (- (/ f (+ n f)) (/ n (+ n f))) 5.143 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 5.143 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.143 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.143 * [taylor]: Taking taylor expansion of f in n 5.143 * [backup-simplify]: Simplify f into f 5.143 * [taylor]: Taking taylor expansion of (+ n f) in n 5.143 * [taylor]: Taking taylor expansion of n in n 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [taylor]: Taking taylor expansion of f in n 5.143 * [backup-simplify]: Simplify f into f 5.143 * [backup-simplify]: Simplify (+ 0 f) into f 5.143 * [backup-simplify]: Simplify (/ f f) into 1 5.143 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.143 * [taylor]: Taking taylor expansion of n in n 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [taylor]: Taking taylor expansion of (+ n f) in n 5.143 * [taylor]: Taking taylor expansion of n in n 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [taylor]: Taking taylor expansion of f in n 5.143 * [backup-simplify]: Simplify f into f 5.144 * [backup-simplify]: Simplify (+ 0 f) into f 5.144 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.144 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.144 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.144 * [taylor]: Taking taylor expansion of f in f 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [taylor]: Taking taylor expansion of (+ n f) in f 5.144 * [taylor]: Taking taylor expansion of n in f 5.144 * [backup-simplify]: Simplify n into n 5.144 * [taylor]: Taking taylor expansion of f in f 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (+ n 0) into n 5.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.144 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.144 * [taylor]: Taking taylor expansion of n in f 5.144 * [backup-simplify]: Simplify n into n 5.144 * [taylor]: Taking taylor expansion of (+ n f) in f 5.144 * [taylor]: Taking taylor expansion of n in f 5.144 * [backup-simplify]: Simplify n into n 5.144 * [taylor]: Taking taylor expansion of f in f 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (+ n 0) into n 5.144 * [backup-simplify]: Simplify (/ n n) into 1 5.144 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.145 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.145 * [taylor]: Taking taylor expansion of f in f 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (+ n f) in f 5.145 * [taylor]: Taking taylor expansion of n in f 5.145 * [backup-simplify]: Simplify n into n 5.145 * [taylor]: Taking taylor expansion of f in f 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (+ n 0) into n 5.145 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.145 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.145 * [taylor]: Taking taylor expansion of n in f 5.145 * [backup-simplify]: Simplify n into n 5.145 * [taylor]: Taking taylor expansion of (+ n f) in f 5.145 * [taylor]: Taking taylor expansion of n in f 5.145 * [backup-simplify]: Simplify n into n 5.145 * [taylor]: Taking taylor expansion of f in f 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (+ n 0) into n 5.145 * [backup-simplify]: Simplify (/ n n) into 1 5.146 * [backup-simplify]: Simplify (- 1) into -1 5.146 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.146 * [taylor]: Taking taylor expansion of -1 in n 5.147 * [backup-simplify]: Simplify -1 into -1 5.147 * [backup-simplify]: Simplify -1 into -1 5.147 * [backup-simplify]: Simplify (+ 0 1) into 1 5.147 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.147 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.147 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.147 * [taylor]: Taking taylor expansion of 2 in n 5.147 * [backup-simplify]: Simplify 2 into 2 5.148 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.148 * [taylor]: Taking taylor expansion of n in n 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.149 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify (+ 0 1) into 1 5.150 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.151 * [backup-simplify]: Simplify (+ 0 0) into 0 5.151 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.151 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.152 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.152 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.152 * [taylor]: Taking taylor expansion of 2 in n 5.152 * [backup-simplify]: Simplify 2 into 2 5.152 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.152 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.152 * [taylor]: Taking taylor expansion of n in n 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [backup-simplify]: Simplify (* 1 1) into 1 5.153 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.157 * [backup-simplify]: Simplify (- 0) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.161 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.162 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.162 * [taylor]: Taking taylor expansion of 2 in n 5.162 * [backup-simplify]: Simplify 2 into 2 5.162 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.162 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.162 * [taylor]: Taking taylor expansion of n in n 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (* 1 1) into 1 5.163 * [backup-simplify]: Simplify (* 1 1) into 1 5.163 * [backup-simplify]: Simplify (/ 1 1) into 1 5.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify -1 into -1 5.173 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 5.173 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 5.173 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.173 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.173 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.173 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.173 * [taylor]: Taking taylor expansion of f in n 5.173 * [backup-simplify]: Simplify f into f 5.173 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.173 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.173 * [taylor]: Taking taylor expansion of n in n 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [taylor]: Taking taylor expansion of f in n 5.174 * [backup-simplify]: Simplify f into f 5.174 * [backup-simplify]: Simplify (+ 0 1) into 1 5.174 * [backup-simplify]: Simplify (* 1 f) into f 5.174 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.174 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.174 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.174 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.174 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.174 * [taylor]: Taking taylor expansion of f in n 5.174 * [backup-simplify]: Simplify f into f 5.174 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.175 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.175 * [taylor]: Taking taylor expansion of n in n 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (/ 1 1) into 1 5.175 * [taylor]: Taking taylor expansion of n in n 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (+ 0 1) into 1 5.176 * [backup-simplify]: Simplify (* 1 0) into 0 5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.177 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.178 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.178 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.178 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.178 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.178 * [taylor]: Taking taylor expansion of f in f 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.178 * [taylor]: Taking taylor expansion of n in f 5.178 * [backup-simplify]: Simplify n into n 5.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.178 * [taylor]: Taking taylor expansion of f in f 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (+ 1 0) into 1 5.179 * [backup-simplify]: Simplify (* 1 0) into 0 5.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.181 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.181 * [backup-simplify]: Simplify (/ 1 1) into 1 5.181 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.181 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.181 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.181 * [taylor]: Taking taylor expansion of f in f 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (/ 1 1) into 1 5.182 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.182 * [taylor]: Taking taylor expansion of n in f 5.182 * [backup-simplify]: Simplify n into n 5.182 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.182 * [taylor]: Taking taylor expansion of n in f 5.182 * [backup-simplify]: Simplify n into n 5.183 * [backup-simplify]: Simplify (+ 1 0) into 1 5.183 * [backup-simplify]: Simplify (* 1 n) into n 5.183 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.183 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.183 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.183 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.183 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.183 * [taylor]: Taking taylor expansion of f in f 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.183 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.183 * [taylor]: Taking taylor expansion of n in f 5.183 * [backup-simplify]: Simplify n into n 5.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.184 * [taylor]: Taking taylor expansion of f in f 5.184 * [backup-simplify]: Simplify 0 into 0 5.184 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (+ 1 0) into 1 5.184 * [backup-simplify]: Simplify (* 1 0) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.186 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.186 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.186 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.186 * [taylor]: Taking taylor expansion of f in f 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.187 * [taylor]: Taking taylor expansion of n in f 5.187 * [backup-simplify]: Simplify n into n 5.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.187 * [taylor]: Taking taylor expansion of n in f 5.187 * [backup-simplify]: Simplify n into n 5.187 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [backup-simplify]: Simplify (* 1 n) into n 5.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [taylor]: Taking taylor expansion of 1 in n 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.190 * [backup-simplify]: Simplify (+ 0 0) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.191 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.191 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.191 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.191 * [taylor]: Taking taylor expansion of 2 in n 5.191 * [backup-simplify]: Simplify 2 into 2 5.191 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.191 * [taylor]: Taking taylor expansion of n in n 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (/ 1 1) into 1 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.194 * [backup-simplify]: Simplify (- 0) into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.195 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.199 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.199 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.200 * [taylor]: Taking taylor expansion of 2 in n 5.200 * [backup-simplify]: Simplify 2 into 2 5.200 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.200 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.200 * [taylor]: Taking taylor expansion of n in n 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (* 1 1) into 1 5.201 * [backup-simplify]: Simplify (/ 1 1) into 1 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.205 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.207 * [backup-simplify]: Simplify (- 0) into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.214 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.215 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.215 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.215 * [taylor]: Taking taylor expansion of 2 in n 5.215 * [backup-simplify]: Simplify 2 into 2 5.215 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.215 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.215 * [taylor]: Taking taylor expansion of n in n 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 1 into 1 5.215 * [backup-simplify]: Simplify (* 1 1) into 1 5.216 * [backup-simplify]: Simplify (* 1 1) into 1 5.216 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (- 0) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 5.226 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 5.226 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.227 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.227 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.227 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.227 * [taylor]: Taking taylor expansion of f in n 5.227 * [backup-simplify]: Simplify f into f 5.227 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.227 * [taylor]: Taking taylor expansion of n in n 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify (/ 1 1) into 1 5.227 * [taylor]: Taking taylor expansion of f in n 5.227 * [backup-simplify]: Simplify f into f 5.228 * [backup-simplify]: Simplify (+ 0 1) into 1 5.228 * [backup-simplify]: Simplify (* 1 f) into f 5.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.228 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.228 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.228 * [taylor]: Taking taylor expansion of f in n 5.228 * [backup-simplify]: Simplify f into f 5.228 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.228 * [taylor]: Taking taylor expansion of n in n 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (/ 1 1) into 1 5.229 * [taylor]: Taking taylor expansion of n in n 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (+ 0 1) into 1 5.229 * [backup-simplify]: Simplify (* 1 0) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.230 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.230 * [backup-simplify]: Simplify (/ 1 1) into 1 5.231 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.231 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.231 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.231 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.231 * [taylor]: Taking taylor expansion of f in f 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ 1 1) into 1 5.231 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.231 * [taylor]: Taking taylor expansion of n in f 5.231 * [backup-simplify]: Simplify n into n 5.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.231 * [taylor]: Taking taylor expansion of f in f 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (+ 1 0) into 1 5.232 * [backup-simplify]: Simplify (* 1 0) into 0 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.232 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.233 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.233 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.233 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.233 * [taylor]: Taking taylor expansion of f in f 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.233 * [taylor]: Taking taylor expansion of n in f 5.233 * [backup-simplify]: Simplify n into n 5.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.233 * [taylor]: Taking taylor expansion of n in f 5.233 * [backup-simplify]: Simplify n into n 5.233 * [backup-simplify]: Simplify (+ 1 0) into 1 5.233 * [backup-simplify]: Simplify (* 1 n) into n 5.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.233 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.233 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.233 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.233 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.234 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.234 * [taylor]: Taking taylor expansion of f in f 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (/ 1 1) into 1 5.234 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.234 * [taylor]: Taking taylor expansion of n in f 5.234 * [backup-simplify]: Simplify n into n 5.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.234 * [taylor]: Taking taylor expansion of f in f 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (+ 1 0) into 1 5.234 * [backup-simplify]: Simplify (* 1 0) into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.235 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.235 * [backup-simplify]: Simplify (/ 1 1) into 1 5.235 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.236 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.236 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.236 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.236 * [taylor]: Taking taylor expansion of f in f 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (/ 1 1) into 1 5.236 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.236 * [taylor]: Taking taylor expansion of n in f 5.236 * [backup-simplify]: Simplify n into n 5.236 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.236 * [taylor]: Taking taylor expansion of n in f 5.236 * [backup-simplify]: Simplify n into n 5.236 * [backup-simplify]: Simplify (+ 1 0) into 1 5.236 * [backup-simplify]: Simplify (* 1 n) into n 5.236 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.237 * [backup-simplify]: Simplify (+ 1 0) into 1 5.237 * [taylor]: Taking taylor expansion of 1 in n 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.238 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.238 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.238 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.238 * [taylor]: Taking taylor expansion of 2 in n 5.238 * [backup-simplify]: Simplify 2 into 2 5.238 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.238 * [taylor]: Taking taylor expansion of n in n 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (/ 1 1) into 1 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.240 * [backup-simplify]: Simplify (- 0) into 0 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.241 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.242 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.243 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.243 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.243 * [taylor]: Taking taylor expansion of 2 in n 5.243 * [backup-simplify]: Simplify 2 into 2 5.243 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.243 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.243 * [taylor]: Taking taylor expansion of n in n 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [backup-simplify]: Simplify (* 1 1) into 1 5.244 * [backup-simplify]: Simplify (/ 1 1) into 1 5.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.250 * [backup-simplify]: Simplify (- 0) into 0 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.254 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.254 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.254 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.254 * [taylor]: Taking taylor expansion of 2 in n 5.254 * [backup-simplify]: Simplify 2 into 2 5.254 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.255 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.255 * [taylor]: Taking taylor expansion of n in n 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (* 1 1) into 1 5.255 * [backup-simplify]: Simplify (* 1 1) into 1 5.255 * [backup-simplify]: Simplify (/ 1 1) into 1 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (- 0) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.261 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 5.261 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 5.261 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 5.261 * [taylor]: Taking taylor expansion of -1 in n 5.261 * [backup-simplify]: Simplify -1 into -1 5.261 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 5.261 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.261 * [taylor]: Taking taylor expansion of f in n 5.261 * [backup-simplify]: Simplify f into f 5.261 * [taylor]: Taking taylor expansion of (+ n f) in n 5.261 * [taylor]: Taking taylor expansion of n in n 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * [taylor]: Taking taylor expansion of f in n 5.262 * [backup-simplify]: Simplify f into f 5.262 * [backup-simplify]: Simplify (+ 0 f) into f 5.262 * [backup-simplify]: Simplify (/ f f) into 1 5.262 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.262 * [taylor]: Taking taylor expansion of n in n 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * [taylor]: Taking taylor expansion of (+ n f) in n 5.262 * [taylor]: Taking taylor expansion of n in n 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * [taylor]: Taking taylor expansion of f in n 5.262 * [backup-simplify]: Simplify f into f 5.262 * [backup-simplify]: Simplify (+ 0 f) into f 5.262 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.263 * [backup-simplify]: Simplify (+ 1 0) into 1 5.263 * [backup-simplify]: Simplify (/ -1 1) into -1 5.263 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.263 * [taylor]: Taking taylor expansion of -1 in f 5.263 * [backup-simplify]: Simplify -1 into -1 5.263 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.263 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.263 * [taylor]: Taking taylor expansion of f in f 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of (+ n f) in f 5.263 * [taylor]: Taking taylor expansion of n in f 5.263 * [backup-simplify]: Simplify n into n 5.263 * [taylor]: Taking taylor expansion of f in f 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.264 * [backup-simplify]: Simplify (+ n 0) into n 5.264 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.264 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.264 * [taylor]: Taking taylor expansion of n in f 5.264 * [backup-simplify]: Simplify n into n 5.264 * [taylor]: Taking taylor expansion of (+ n f) in f 5.264 * [taylor]: Taking taylor expansion of n in f 5.264 * [backup-simplify]: Simplify n into n 5.264 * [taylor]: Taking taylor expansion of f in f 5.264 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify 1 into 1 5.264 * [backup-simplify]: Simplify (+ n 0) into n 5.264 * [backup-simplify]: Simplify (/ n n) into 1 5.264 * [backup-simplify]: Simplify (- 1) into -1 5.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.265 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.265 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 5.265 * [taylor]: Taking taylor expansion of -1 in f 5.265 * [backup-simplify]: Simplify -1 into -1 5.265 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 5.265 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.265 * [taylor]: Taking taylor expansion of f in f 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [taylor]: Taking taylor expansion of (+ n f) in f 5.266 * [taylor]: Taking taylor expansion of n in f 5.266 * [backup-simplify]: Simplify n into n 5.266 * [taylor]: Taking taylor expansion of f in f 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (+ n 0) into n 5.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.266 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.266 * [taylor]: Taking taylor expansion of n in f 5.266 * [backup-simplify]: Simplify n into n 5.266 * [taylor]: Taking taylor expansion of (+ n f) in f 5.266 * [taylor]: Taking taylor expansion of n in f 5.266 * [backup-simplify]: Simplify n into n 5.266 * [taylor]: Taking taylor expansion of f in f 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (+ n 0) into n 5.266 * [backup-simplify]: Simplify (/ n n) into 1 5.267 * [backup-simplify]: Simplify (- 1) into -1 5.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.267 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.268 * [taylor]: Taking taylor expansion of 1 in n 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (+ 0 1) into 1 5.268 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 5.268 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 5.268 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 5.269 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 5.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.269 * [taylor]: Taking taylor expansion of 2 in n 5.269 * [backup-simplify]: Simplify 2 into 2 5.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.269 * [taylor]: Taking taylor expansion of n in n 5.269 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (+ 0 1) into 1 5.272 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.273 * [backup-simplify]: Simplify (+ 0 0) into 0 5.273 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 5.273 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 5.274 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 5.275 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 5.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.275 * [taylor]: Taking taylor expansion of 2 in n 5.275 * [backup-simplify]: Simplify 2 into 2 5.275 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.275 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.275 * [taylor]: Taking taylor expansion of n in n 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (* 1 1) into 1 5.276 * [backup-simplify]: Simplify (/ 1 1) into 1 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.280 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify (+ 0 0) into 0 5.283 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.284 * [backup-simplify]: Simplify (+ 0 0) into 0 5.284 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 5.284 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 5.285 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 5.286 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 5.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.286 * [taylor]: Taking taylor expansion of 2 in n 5.286 * [backup-simplify]: Simplify 2 into 2 5.286 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.286 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.286 * [taylor]: Taking taylor expansion of n in n 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (* 1 1) into 1 5.287 * [backup-simplify]: Simplify (* 1 1) into 1 5.287 * [backup-simplify]: Simplify (/ 1 1) into 1 5.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.297 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.297 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.297 * [taylor]: Taking taylor expansion of -1 in n 5.297 * [backup-simplify]: Simplify -1 into -1 5.297 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.297 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.297 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.297 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.297 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.297 * [taylor]: Taking taylor expansion of f in n 5.297 * [backup-simplify]: Simplify f into f 5.297 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.297 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.297 * [taylor]: Taking taylor expansion of n in n 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (/ 1 1) into 1 5.298 * [taylor]: Taking taylor expansion of f in n 5.298 * [backup-simplify]: Simplify f into f 5.298 * [backup-simplify]: Simplify (+ 0 1) into 1 5.298 * [backup-simplify]: Simplify (* 1 f) into f 5.298 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.298 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.298 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.298 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.298 * [taylor]: Taking taylor expansion of f in n 5.298 * [backup-simplify]: Simplify f into f 5.298 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.299 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.299 * [taylor]: Taking taylor expansion of n in n 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of n in n 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (+ 0 1) into 1 5.300 * [backup-simplify]: Simplify (* 1 0) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.301 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.302 * [backup-simplify]: Simplify (/ 1 1) into 1 5.302 * [backup-simplify]: Simplify (- 1) into -1 5.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.303 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.303 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.303 * [taylor]: Taking taylor expansion of -1 in f 5.303 * [backup-simplify]: Simplify -1 into -1 5.303 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.303 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.303 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.303 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.303 * [taylor]: Taking taylor expansion of f in f 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (/ 1 1) into 1 5.304 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.304 * [taylor]: Taking taylor expansion of n in f 5.304 * [backup-simplify]: Simplify n into n 5.304 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.304 * [taylor]: Taking taylor expansion of f in f 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (+ 1 0) into 1 5.305 * [backup-simplify]: Simplify (* 1 0) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.305 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.306 * [backup-simplify]: Simplify (/ 1 1) into 1 5.306 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.306 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.306 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.306 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.306 * [taylor]: Taking taylor expansion of f in f 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (/ 1 1) into 1 5.306 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.306 * [taylor]: Taking taylor expansion of n in f 5.306 * [backup-simplify]: Simplify n into n 5.306 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.306 * [taylor]: Taking taylor expansion of n in f 5.306 * [backup-simplify]: Simplify n into n 5.306 * [backup-simplify]: Simplify (+ 1 0) into 1 5.307 * [backup-simplify]: Simplify (* 1 n) into n 5.307 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.307 * [backup-simplify]: Simplify (+ 1 0) into 1 5.307 * [backup-simplify]: Simplify (/ -1 1) into -1 5.307 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.307 * [taylor]: Taking taylor expansion of -1 in f 5.307 * [backup-simplify]: Simplify -1 into -1 5.307 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.307 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.307 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.307 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.307 * [taylor]: Taking taylor expansion of f in f 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.308 * [taylor]: Taking taylor expansion of n in f 5.308 * [backup-simplify]: Simplify n into n 5.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.308 * [taylor]: Taking taylor expansion of f in f 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (+ 1 0) into 1 5.308 * [backup-simplify]: Simplify (* 1 0) into 0 5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.309 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.309 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.309 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.309 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.309 * [taylor]: Taking taylor expansion of f in f 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 1 into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.310 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.310 * [taylor]: Taking taylor expansion of n in f 5.310 * [backup-simplify]: Simplify n into n 5.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.310 * [taylor]: Taking taylor expansion of n in f 5.310 * [backup-simplify]: Simplify n into n 5.310 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (* 1 n) into n 5.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.310 * [backup-simplify]: Simplify (+ 1 0) into 1 5.311 * [backup-simplify]: Simplify (/ -1 1) into -1 5.311 * [taylor]: Taking taylor expansion of -1 in n 5.311 * [backup-simplify]: Simplify -1 into -1 5.311 * [backup-simplify]: Simplify -1 into -1 5.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.312 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.312 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.313 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.313 * [taylor]: Taking taylor expansion of 2 in n 5.313 * [backup-simplify]: Simplify 2 into 2 5.313 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.313 * [taylor]: Taking taylor expansion of n in n 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify 1 into 1 5.313 * [backup-simplify]: Simplify (/ 1 1) into 1 5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.314 * [backup-simplify]: Simplify (- 0) into 0 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.315 * [backup-simplify]: Simplify (+ 0 0) into 0 5.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.317 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.318 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.318 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.318 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.318 * [taylor]: Taking taylor expansion of 2 in n 5.318 * [backup-simplify]: Simplify 2 into 2 5.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.318 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.318 * [taylor]: Taking taylor expansion of n in n 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.319 * [backup-simplify]: Simplify (* 1 1) into 1 5.319 * [backup-simplify]: Simplify (/ 1 1) into 1 5.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.322 * [backup-simplify]: Simplify (- 0) into 0 5.322 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.323 * [backup-simplify]: Simplify (- 0) into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.324 * [backup-simplify]: Simplify (+ 0 0) into 0 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.326 * [backup-simplify]: Simplify (+ 0 0) into 0 5.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.327 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.327 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.328 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.328 * [taylor]: Taking taylor expansion of 2 in n 5.328 * [backup-simplify]: Simplify 2 into 2 5.328 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.328 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.328 * [taylor]: Taking taylor expansion of n in n 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.329 * [backup-simplify]: Simplify (* 1 1) into 1 5.329 * [backup-simplify]: Simplify (* 1 1) into 1 5.329 * [backup-simplify]: Simplify (/ 1 1) into 1 5.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (- 0) into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify -1 into -1 5.337 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 5.337 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 5.337 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 5.337 * [taylor]: Taking taylor expansion of -1 in n 5.337 * [backup-simplify]: Simplify -1 into -1 5.337 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 5.337 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.337 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.337 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.337 * [taylor]: Taking taylor expansion of f in n 5.337 * [backup-simplify]: Simplify f into f 5.337 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.337 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.337 * [taylor]: Taking taylor expansion of n in n 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify 1 into 1 5.338 * [backup-simplify]: Simplify (/ 1 1) into 1 5.338 * [taylor]: Taking taylor expansion of f in n 5.338 * [backup-simplify]: Simplify f into f 5.338 * [backup-simplify]: Simplify (+ 0 1) into 1 5.338 * [backup-simplify]: Simplify (* 1 f) into f 5.338 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.338 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.338 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.338 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.338 * [taylor]: Taking taylor expansion of f in n 5.338 * [backup-simplify]: Simplify f into f 5.339 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.339 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.339 * [taylor]: Taking taylor expansion of n in n 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [backup-simplify]: Simplify (/ 1 1) into 1 5.339 * [taylor]: Taking taylor expansion of n in n 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (+ 0 1) into 1 5.340 * [backup-simplify]: Simplify (* 1 0) into 0 5.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.341 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.342 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [backup-simplify]: Simplify (- 1) into -1 5.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.343 * [backup-simplify]: Simplify (/ -1 -1) into 1 5.343 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.343 * [taylor]: Taking taylor expansion of -1 in f 5.343 * [backup-simplify]: Simplify -1 into -1 5.343 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.343 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.344 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.344 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.344 * [taylor]: Taking taylor expansion of f in f 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ 1 1) into 1 5.344 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.344 * [taylor]: Taking taylor expansion of n in f 5.344 * [backup-simplify]: Simplify n into n 5.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.344 * [taylor]: Taking taylor expansion of f in f 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (+ 1 0) into 1 5.346 * [backup-simplify]: Simplify (* 1 0) into 0 5.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.346 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.347 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.347 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.347 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.348 * [taylor]: Taking taylor expansion of f in f 5.348 * [backup-simplify]: Simplify 0 into 0 5.348 * [backup-simplify]: Simplify 1 into 1 5.348 * [backup-simplify]: Simplify (/ 1 1) into 1 5.348 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.348 * [taylor]: Taking taylor expansion of n in f 5.348 * [backup-simplify]: Simplify n into n 5.348 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.348 * [taylor]: Taking taylor expansion of n in f 5.348 * [backup-simplify]: Simplify n into n 5.349 * [backup-simplify]: Simplify (+ 1 0) into 1 5.349 * [backup-simplify]: Simplify (* 1 n) into n 5.349 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.349 * [backup-simplify]: Simplify (+ 1 0) into 1 5.350 * [backup-simplify]: Simplify (/ -1 1) into -1 5.350 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 5.350 * [taylor]: Taking taylor expansion of -1 in f 5.350 * [backup-simplify]: Simplify -1 into -1 5.350 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 5.350 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.350 * [taylor]: Taking taylor expansion of f in f 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (/ 1 1) into 1 5.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.351 * [taylor]: Taking taylor expansion of n in f 5.351 * [backup-simplify]: Simplify n into n 5.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.351 * [taylor]: Taking taylor expansion of f in f 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (+ 1 0) into 1 5.352 * [backup-simplify]: Simplify (* 1 0) into 0 5.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.353 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.354 * [backup-simplify]: Simplify (/ 1 1) into 1 5.354 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.354 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.354 * [taylor]: Taking taylor expansion of f in f 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 1 into 1 5.354 * [backup-simplify]: Simplify (/ 1 1) into 1 5.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.354 * [taylor]: Taking taylor expansion of n in f 5.354 * [backup-simplify]: Simplify n into n 5.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.354 * [taylor]: Taking taylor expansion of n in f 5.354 * [backup-simplify]: Simplify n into n 5.355 * [backup-simplify]: Simplify (+ 1 0) into 1 5.355 * [backup-simplify]: Simplify (* 1 n) into n 5.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.355 * [backup-simplify]: Simplify (+ 1 0) into 1 5.356 * [backup-simplify]: Simplify (/ -1 1) into -1 5.356 * [taylor]: Taking taylor expansion of -1 in n 5.356 * [backup-simplify]: Simplify -1 into -1 5.356 * [backup-simplify]: Simplify -1 into -1 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.359 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.359 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 5.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 5.360 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.360 * [taylor]: Taking taylor expansion of 2 in n 5.360 * [backup-simplify]: Simplify 2 into 2 5.360 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.360 * [taylor]: Taking taylor expansion of n in n 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.364 * [backup-simplify]: Simplify (+ 0 0) into 0 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 5.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.368 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 5.368 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.369 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.369 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.369 * [taylor]: Taking taylor expansion of 2 in n 5.370 * [backup-simplify]: Simplify 2 into 2 5.370 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.370 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.370 * [taylor]: Taking taylor expansion of n in n 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (/ 1 1) into 1 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.380 * [backup-simplify]: Simplify (- 0) into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.381 * [backup-simplify]: Simplify (+ 0 0) into 0 5.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.384 * [backup-simplify]: Simplify (+ 0 0) into 0 5.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.385 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 5.385 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 5.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.386 * [taylor]: Taking taylor expansion of 2 in n 5.386 * [backup-simplify]: Simplify 2 into 2 5.386 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.386 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.386 * [taylor]: Taking taylor expansion of n in n 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (* 1 1) into 1 5.386 * [backup-simplify]: Simplify (* 1 1) into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (- 0) into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify -1 into -1 5.392 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 5.392 * [backup-simplify]: Simplify (/ n (+ f n)) into (/ n (+ n f)) 5.392 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (n f) around 0 5.392 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 5.392 * [taylor]: Taking taylor expansion of n in f 5.393 * [backup-simplify]: Simplify n into n 5.393 * [taylor]: Taking taylor expansion of (+ n f) in f 5.393 * [taylor]: Taking taylor expansion of n in f 5.393 * [backup-simplify]: Simplify n into n 5.393 * [taylor]: Taking taylor expansion of f in f 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (+ n 0) into n 5.393 * [backup-simplify]: Simplify (/ n n) into 1 5.393 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.393 * [taylor]: Taking taylor expansion of n in n 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of (+ n f) in n 5.393 * [taylor]: Taking taylor expansion of n in n 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of f in n 5.393 * [backup-simplify]: Simplify f into f 5.393 * [backup-simplify]: Simplify (+ 0 f) into f 5.393 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.393 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 5.393 * [taylor]: Taking taylor expansion of n in n 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of (+ n f) in n 5.393 * [taylor]: Taking taylor expansion of n in n 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [taylor]: Taking taylor expansion of f in n 5.393 * [backup-simplify]: Simplify f into f 5.393 * [backup-simplify]: Simplify (+ 0 f) into f 5.393 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.393 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.393 * [taylor]: Taking taylor expansion of f in f 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (/ 1 1) into 1 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (+ 1 0) into 1 5.394 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 5.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 5.394 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.394 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.394 * [taylor]: Taking taylor expansion of f in f 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.395 * [backup-simplify]: Simplify (* 1 1) into 1 5.395 * [backup-simplify]: Simplify (/ 1 1) into 1 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (- 0) into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (+ 0 0) into 0 5.398 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 5.398 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 5.398 * [taylor]: Taking taylor expansion of (pow f 3) in f 5.398 * [taylor]: Taking taylor expansion of f in f 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.399 * [backup-simplify]: Simplify (* 1 1) into 1 5.399 * [backup-simplify]: Simplify (* 1 1) into 1 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.405 * [backup-simplify]: Simplify (- 0) into 0 5.405 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify (/ (/ 1 n) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.406 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.406 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.406 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.406 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.406 * [taylor]: Taking taylor expansion of f in f 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (/ 1 1) into 1 5.406 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.406 * [taylor]: Taking taylor expansion of n in f 5.406 * [backup-simplify]: Simplify n into n 5.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.406 * [taylor]: Taking taylor expansion of n in f 5.406 * [backup-simplify]: Simplify n into n 5.407 * [backup-simplify]: Simplify (+ 1 0) into 1 5.407 * [backup-simplify]: Simplify (* 1 n) into n 5.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.407 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.407 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.407 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.407 * [taylor]: Taking taylor expansion of f in n 5.407 * [backup-simplify]: Simplify f into f 5.407 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.407 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.407 * [taylor]: Taking taylor expansion of n in n 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.407 * [taylor]: Taking taylor expansion of n in n 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (+ 0 1) into 1 5.408 * [backup-simplify]: Simplify (* 1 0) into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.408 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.409 * [backup-simplify]: Simplify (/ 1 1) into 1 5.409 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.409 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.409 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.409 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.409 * [taylor]: Taking taylor expansion of f in n 5.409 * [backup-simplify]: Simplify f into f 5.409 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.409 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.409 * [taylor]: Taking taylor expansion of n in n 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (/ 1 1) into 1 5.409 * [taylor]: Taking taylor expansion of n in n 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify (+ 0 1) into 1 5.410 * [backup-simplify]: Simplify (* 1 0) into 0 5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.411 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.411 * [backup-simplify]: Simplify (/ 1 1) into 1 5.411 * [taylor]: Taking taylor expansion of 1 in f 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.412 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.412 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.412 * [taylor]: Taking taylor expansion of f in f 5.412 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [backup-simplify]: Simplify (/ 1 1) into 1 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (- 0) into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.416 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.416 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.416 * [taylor]: Taking taylor expansion of f in f 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (* 1 1) into 1 5.417 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (- 0) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 5.422 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 5.422 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 5.422 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 5.422 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.422 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.422 * [taylor]: Taking taylor expansion of f in f 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (/ 1 1) into 1 5.422 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.422 * [taylor]: Taking taylor expansion of n in f 5.422 * [backup-simplify]: Simplify n into n 5.422 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.422 * [taylor]: Taking taylor expansion of n in f 5.422 * [backup-simplify]: Simplify n into n 5.423 * [backup-simplify]: Simplify (+ 1 0) into 1 5.423 * [backup-simplify]: Simplify (* 1 n) into n 5.423 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.423 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.423 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.423 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.423 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.423 * [taylor]: Taking taylor expansion of f in n 5.423 * [backup-simplify]: Simplify f into f 5.423 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.423 * [taylor]: Taking taylor expansion of n in n 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (/ 1 1) into 1 5.424 * [taylor]: Taking taylor expansion of n in n 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (+ 0 1) into 1 5.425 * [backup-simplify]: Simplify (* 1 0) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.426 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.427 * [backup-simplify]: Simplify (/ 1 1) into 1 5.427 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 5.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 5.427 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.427 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.427 * [taylor]: Taking taylor expansion of f in n 5.427 * [backup-simplify]: Simplify f into f 5.427 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.427 * [taylor]: Taking taylor expansion of n in n 5.427 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify (/ 1 1) into 1 5.427 * [taylor]: Taking taylor expansion of n in n 5.427 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (+ 0 1) into 1 5.428 * [backup-simplify]: Simplify (* 1 0) into 0 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.429 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 5.430 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 5.430 * [backup-simplify]: Simplify (/ 1 1) into 1 5.430 * [taylor]: Taking taylor expansion of 1 in f 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (+ 0 0) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 5.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 f) 1)))) into (- (/ 1 f)) 5.433 * [taylor]: Taking taylor expansion of (- (/ 1 f)) in f 5.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.433 * [taylor]: Taking taylor expansion of f in f 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (/ 1 1) into 1 5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify (- 0) into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 5.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.437 * [backup-simplify]: Simplify (+ 0 0) into 0 5.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 f)) (/ (/ 1 f) 1)))) into (/ 1 (pow f 2)) 5.439 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 5.439 * [taylor]: Taking taylor expansion of (pow f 2) in f 5.439 * [taylor]: Taking taylor expansion of f in f 5.439 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (* 1 1) into 1 5.440 * [backup-simplify]: Simplify (/ 1 1) into 1 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify (- 0) into 0 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.448 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 5.448 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 5.448 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 5.448 * [taylor]: Taking taylor expansion of f in n 5.448 * [backup-simplify]: Simplify f into f 5.448 * [taylor]: Taking taylor expansion of (+ n f) in n 5.448 * [taylor]: Taking taylor expansion of n in n 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [taylor]: Taking taylor expansion of f in n 5.449 * [backup-simplify]: Simplify f into f 5.449 * [backup-simplify]: Simplify (+ 0 f) into f 5.449 * [backup-simplify]: Simplify (/ f f) into 1 5.449 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.449 * [taylor]: Taking taylor expansion of f in f 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [taylor]: Taking taylor expansion of (+ n f) in f 5.449 * [taylor]: Taking taylor expansion of n in f 5.449 * [backup-simplify]: Simplify n into n 5.449 * [taylor]: Taking taylor expansion of f in f 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [backup-simplify]: Simplify (+ n 0) into n 5.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.449 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 5.449 * [taylor]: Taking taylor expansion of f in f 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.449 * [taylor]: Taking taylor expansion of (+ n f) in f 5.449 * [taylor]: Taking taylor expansion of n in f 5.449 * [backup-simplify]: Simplify n into n 5.449 * [taylor]: Taking taylor expansion of f in f 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [backup-simplify]: Simplify (+ n 0) into n 5.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.450 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.450 * [taylor]: Taking taylor expansion of n in n 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [backup-simplify]: Simplify (/ 1 1) into 1 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (+ 0 1) into 1 5.452 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 5.452 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 5.452 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.452 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.452 * [taylor]: Taking taylor expansion of n in n 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (* 1 1) into 1 5.453 * [backup-simplify]: Simplify (/ 1 1) into 1 5.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.457 * [backup-simplify]: Simplify (- 0) into 0 5.457 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (+ 0 0) into 0 5.459 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 5.459 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.459 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.459 * [taylor]: Taking taylor expansion of n in n 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (* 1 1) into 1 5.459 * [backup-simplify]: Simplify (* 1 1) into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.468 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (- 0) into 0 5.470 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify 0 into 0 5.471 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 5.472 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 5.472 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.472 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.472 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.472 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.472 * [taylor]: Taking taylor expansion of f in n 5.472 * [backup-simplify]: Simplify f into f 5.472 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.472 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.472 * [taylor]: Taking taylor expansion of n in n 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ 1 1) into 1 5.472 * [taylor]: Taking taylor expansion of f in n 5.472 * [backup-simplify]: Simplify f into f 5.473 * [backup-simplify]: Simplify (+ 0 1) into 1 5.473 * [backup-simplify]: Simplify (* 1 f) into f 5.473 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.473 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.473 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.473 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.473 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.473 * [taylor]: Taking taylor expansion of f in f 5.473 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (/ 1 1) into 1 5.474 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.474 * [taylor]: Taking taylor expansion of n in f 5.474 * [backup-simplify]: Simplify n into n 5.474 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.474 * [taylor]: Taking taylor expansion of f in f 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (+ 1 0) into 1 5.475 * [backup-simplify]: Simplify (* 1 0) into 0 5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.476 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.477 * [backup-simplify]: Simplify (/ 1 1) into 1 5.477 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.477 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.477 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.477 * [taylor]: Taking taylor expansion of f in f 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify 1 into 1 5.477 * [backup-simplify]: Simplify (/ 1 1) into 1 5.477 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.477 * [taylor]: Taking taylor expansion of n in f 5.477 * [backup-simplify]: Simplify n into n 5.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.477 * [taylor]: Taking taylor expansion of f in f 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify 1 into 1 5.477 * [backup-simplify]: Simplify (+ 1 0) into 1 5.478 * [backup-simplify]: Simplify (* 1 0) into 0 5.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.478 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.478 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.479 * [backup-simplify]: Simplify (/ 1 1) into 1 5.479 * [taylor]: Taking taylor expansion of 1 in n 5.479 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify 0 into 0 5.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.480 * [backup-simplify]: Simplify (+ 0 0) into 0 5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.480 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.480 * [taylor]: Taking taylor expansion of n in n 5.480 * [backup-simplify]: Simplify 0 into 0 5.480 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (- 0) into 0 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.484 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.484 * [taylor]: Taking taylor expansion of n in n 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 1 into 1 5.484 * [backup-simplify]: Simplify (* 1 1) into 1 5.484 * [backup-simplify]: Simplify (/ 1 1) into 1 5.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.488 * [backup-simplify]: Simplify (- 0) into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 5.488 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 5.488 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 5.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 5.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.489 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.489 * [taylor]: Taking taylor expansion of f in n 5.489 * [backup-simplify]: Simplify f into f 5.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.489 * [taylor]: Taking taylor expansion of n in n 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [taylor]: Taking taylor expansion of f in n 5.489 * [backup-simplify]: Simplify f into f 5.489 * [backup-simplify]: Simplify (+ 0 1) into 1 5.489 * [backup-simplify]: Simplify (* 1 f) into f 5.489 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.489 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.489 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.489 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.489 * [taylor]: Taking taylor expansion of f in f 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.490 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.490 * [taylor]: Taking taylor expansion of n in f 5.490 * [backup-simplify]: Simplify n into n 5.490 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.490 * [taylor]: Taking taylor expansion of f in f 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [backup-simplify]: Simplify (+ 1 0) into 1 5.490 * [backup-simplify]: Simplify (* 1 0) into 0 5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.491 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.492 * [backup-simplify]: Simplify (/ 1 1) into 1 5.492 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 5.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 5.492 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.492 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.492 * [taylor]: Taking taylor expansion of f in f 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.493 * [taylor]: Taking taylor expansion of n in f 5.493 * [backup-simplify]: Simplify n into n 5.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.493 * [taylor]: Taking taylor expansion of f in f 5.493 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify 1 into 1 5.494 * [backup-simplify]: Simplify (+ 1 0) into 1 5.494 * [backup-simplify]: Simplify (* 1 0) into 0 5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.494 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.495 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 5.495 * [backup-simplify]: Simplify (/ 1 1) into 1 5.495 * [taylor]: Taking taylor expansion of 1 in n 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.496 * [backup-simplify]: Simplify (+ 0 0) into 0 5.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 5.497 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 5.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.497 * [taylor]: Taking taylor expansion of n in n 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify (/ 1 1) into 1 5.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (- 0) into 0 5.498 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.499 * [backup-simplify]: Simplify (+ 0 0) into 0 5.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 5.500 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.500 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.500 * [taylor]: Taking taylor expansion of n in n 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 1 into 1 5.500 * [backup-simplify]: Simplify (* 1 1) into 1 5.501 * [backup-simplify]: Simplify (/ 1 1) into 1 5.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (- 0) into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.505 * * * [progress]: simplifying candidates 5.507 * [simplify]: Simplifying: (/ (exp (/ f (+ f n))) (exp (/ n (+ f n)))) (log (- (/ f (+ f n)) (/ n (+ f n)))) (exp (- (/ f (+ f n)) (/ n (+ f n)))) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (sqrt (- (/ f (+ f n)) (/ n (+ f n)))) (- f n) (- (* f (+ f n)) (* (+ f n) n)) (* (+ f n) (+ f n)) (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3)) (+ (* (/ f (+ f n)) (/ f (+ f n))) (+ (* (/ n (+ f n)) (/ n (+ f n))) (* (/ f (+ f n)) (/ n (+ f n))))) (- (/ n (+ f n))) (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n)))) (+ (/ f (+ f n)) (/ n (+ f n))) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n)))) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n)))) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n)))) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n)))) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n))) (- f n) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ f n))) (- (log -1) (log (- (/ f (+ f n)) (/ n (+ f n))))) (log (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (exp (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (* -1 -1) -1) (* (* (- (/ f (+ f n)) (/ n (+ f n))) (- (/ f (+ f n)) (/ n (+ f n)))) (- (/ f (+ f n)) (/ n (+ f n))))) (* (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))))) (cbrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (* (* (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (sqrt (/ -1 (- (/ f (+ f n)) (/ n (+ f n))))) (- -1) (- (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ (cbrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (cbrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (cbrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt -1) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (sqrt (+ f n)))) (/ (cbrt -1) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 1)) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (* (cbrt -1) (cbrt -1)) (/ 1 (+ f n))) (/ (cbrt -1) (- f n)) (/ (* (cbrt -1) (cbrt -1)) (+ (* f f) (- (* n n) (* f n)))) (/ (cbrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ (* (cbrt -1) (cbrt -1)) (- f n)) (/ (cbrt -1) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ (sqrt -1) (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ (sqrt -1) (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ (sqrt -1) 1) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ (sqrt -1) (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ (sqrt -1) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt -1) (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ (sqrt -1) (/ 1 (sqrt (+ f n)))) (/ (sqrt -1) (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 1)) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) 1) (/ (sqrt -1) (- (/ f (+ f n)) (/ n (+ f n)))) (/ (sqrt -1) (/ 1 (+ f n))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (* f f) (- (* n n) (* f n)))) (/ (sqrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ 1 (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ -1 (cbrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ 1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ 1 1) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (- (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ 1 (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (- (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ 1 (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (- (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ 1 (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (- (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (- (/ f (cbrt (+ f n))) (/ n (cbrt (+ f n))))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ -1 (- (/ f (sqrt (+ f n))) (/ n (sqrt (+ f n))))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 1)) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 1) (/ -1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ 1 (/ 1 (+ f n))) (/ -1 (- f n)) (/ 1 (+ (* f f) (- (* n n) (* f n)))) (/ -1 (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))) (/ 1 (- f n)) (/ -1 (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ 1 (- (/ f (+ f n)) (/ n (+ f n)))) (/ (- (/ f (+ f n)) (/ n (+ f n))) -1) (/ -1 (* (cbrt (- (/ f (+ f n)) (/ n (+ f n)))) (cbrt (- (/ f (+ f n)) (/ n (+ f n)))))) (/ -1 (sqrt (- (/ f (+ f n)) (/ n (+ f n))))) (/ -1 1) (/ -1 (+ (sqrt (/ f (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (sqrt (/ f (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ f n))) (sqrt (/ n (+ f n))))) (/ -1 (+ (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))))) (/ -1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ -1 (/ 1 (sqrt (+ f n)))) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 (/ 1 1)) (/ -1 1) (/ -1 (/ 1 (+ f n))) (/ -1 (+ (* f f) (- (* n n) (* f n)))) (/ -1 (- f n)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (cbrt -1)) (/ (- (/ f (+ f n)) (/ n (+ f n))) (sqrt -1)) (/ (- (/ f (+ f n)) (/ n (+ f n))) -1) (/ -1 (- f n)) (/ -1 (- (* f (+ f n)) (* (+ f n) n))) (/ -1 (- (pow (/ f (+ f n)) 3) (pow (/ n (+ f n)) 3))) (/ -1 (- (* (/ f (+ f n)) (/ f (+ f n))) (* (/ n (+ f n)) (/ n (+ f n))))) (- (log n) (log (+ f n))) (log (/ n (+ f n))) (exp (/ n (+ f n))) (/ (* (* n n) n) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ n (+ f n))) (cbrt (/ n (+ f n)))) (cbrt (/ n (+ f n))) (* (* (/ n (+ f n)) (/ n (+ f n))) (/ n (+ f n))) (sqrt (/ n (+ f n))) (sqrt (/ n (+ f n))) (- n) (- (+ f n)) (/ (* (cbrt n) (cbrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt n) (cbrt (+ f n))) (/ (* (cbrt n) (cbrt n)) (sqrt (+ f n))) (/ (cbrt n) (sqrt (+ f n))) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (* (cbrt n) (cbrt n)) 1) (/ (cbrt n) (+ f n)) (/ (sqrt n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt n) (cbrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) (sqrt (+ f n))) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ (sqrt n) 1) (/ (sqrt n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ n (sqrt (+ f n))) (/ 1 1) (/ n (+ f n)) (/ 1 1) (/ n (+ f n)) (/ 1 (+ f n)) (/ (+ f n) n) (/ n (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ n (sqrt (+ f n))) (/ n 1) (/ n 1) (/ (+ f n) (cbrt n)) (/ (+ f n) (sqrt n)) (/ (+ f n) n) (/ n (+ (pow f 3) (pow n 3))) (/ n (- (* f f) (* n n))) (- (log f) (log (+ f n))) (log (/ f (+ f n))) (exp (/ f (+ f n))) (/ (* (* f f) f) (* (* (+ f n) (+ f n)) (+ f n))) (* (cbrt (/ f (+ f n))) (cbrt (/ f (+ f n)))) (cbrt (/ f (+ f n))) (* (* (/ f (+ f n)) (/ f (+ f n))) (/ f (+ f n))) (sqrt (/ f (+ f n))) (sqrt (/ f (+ f n))) (- f) (- (+ f n)) (/ (* (cbrt f) (cbrt f)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt f) (cbrt (+ f n))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ f n))) (/ (cbrt f) (sqrt (+ f n))) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (* (cbrt f) (cbrt f)) 1) (/ (cbrt f) (+ f n)) (/ (sqrt f) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt f) (cbrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) (sqrt (+ f n))) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ (sqrt f) 1) (/ (sqrt f) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (cbrt (+ f n))) (/ 1 (sqrt (+ f n))) (/ f (sqrt (+ f n))) (/ 1 1) (/ f (+ f n)) (/ 1 1) (/ f (+ f n)) (/ 1 (+ f n)) (/ (+ f n) f) (/ f (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ f (sqrt (+ f n))) (/ f 1) (/ f 1) (/ (+ f n) (cbrt f)) (/ (+ f n) (sqrt f)) (/ (+ f n) f) (/ f (+ (pow f 3) (pow n 3))) (/ f (- (* f f) (* n n))) -1 1 1 1 -1 -1 0 0 0 0 0 0 5.512 * * [simplify]: iteration 0: 240 enodes 5.600 * * [simplify]: iteration 1: 500 enodes 5.770 * * [simplify]: iteration 2: 2037 enodes 6.342 * * [simplify]: iteration complete: 5000 enodes 6.342 * * [simplify]: Extracting #0: cost 181 inf + 0 6.357 * * [simplify]: Extracting #1: cost 997 inf + 128 6.367 * * [simplify]: Extracting #2: cost 1781 inf + 23995 6.395 * * [simplify]: Extracting #3: cost 970 inf + 160681 6.464 * * [simplify]: Extracting #4: cost 301 inf + 307172 6.556 * * [simplify]: Extracting #5: cost 26 inf + 390526 6.677 * * [simplify]: Extracting #6: cost 0 inf + 398266 6.767 * [simplify]: Simplified to: (exp (- (/ f (+ n f)) (/ n (+ n f)))) (log (- (/ f (+ n f)) (/ n (+ n f)))) (exp (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))) (* (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt (- (/ f (+ n f)) (/ n (+ n f)))) (- f n) (- (* (+ n f) f) (* n (+ n f))) (* (+ n f) (+ n f)) (- (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f))))) (+ (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (+ (/ f (+ n f)) (/ n (+ n f))))) (- (/ n (+ n f))) (- (* (/ f (+ n f)) (/ f (+ n f))) (* (/ n (+ n f)) (/ n (+ n f)))) (+ (/ f (+ n f)) (/ n (+ n f))) (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f)))) (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f)))) (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f)))) (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f)))) (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f)))) (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f)))) (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f)))) (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f)))) (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))) (- f n) (- (/ f (+ (* (* f f) f) (* n (* n n)))) (/ n (+ (* (* f f) f) (* n (* n n))))) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n)))) (- (/ n (+ n f))) (log (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (log (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (exp (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (/ (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))))) (* (cbrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))))) (cbrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (/ (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (* (- (/ f (+ n f)) (/ n (+ n f))) (- (/ f (+ n f)) (/ n (+ n f))))) (sqrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) (sqrt (/ -1 (- (/ f (+ n f)) (/ n (+ n f))))) 1 (- (- (/ f (+ n f)) (/ n (+ n f)))) (* (/ (cbrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (cbrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f)))))) (/ (cbrt -1) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ (cbrt -1) (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (/ (cbrt -1) (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (cbrt -1)) (/ (cbrt -1) (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ (cbrt -1) (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (/ (cbrt -1) (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (cbrt -1)) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ (* (cbrt -1) (cbrt -1)) (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ (cbrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (* (cbrt -1) (cbrt -1)) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (cbrt -1) (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (* (* (cbrt -1) (cbrt -1)) (sqrt (+ n f))) (/ (cbrt -1) (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (- (/ f (+ n f)) (/ n (+ n 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(/ n (+ n f))))) (/ (sqrt -1) (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ (sqrt -1) (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (* (cbrt (+ n f)) (cbrt (+ n f))) (sqrt -1)) (/ (sqrt -1) (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (* (sqrt (+ n f)) (sqrt -1)) (/ (sqrt -1) (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (sqrt -1) (/ (sqrt -1) (- (/ f (+ n f)) (/ n (+ n f)))) (* (+ n f) (sqrt -1)) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (+ (* (- n f) n) (* f f))) (/ (sqrt -1) (- (/ f (+ (* (* f f) f) (* n (* n n)))) (/ n (+ (* (* f f) f) (* n (* n n)))))) (/ (sqrt -1) (- f n)) (/ (sqrt -1) (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ (/ 1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ 1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ 1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (- (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ 1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (sqrt (/ n (+ n f))))) (/ 1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (- (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (* (cbrt (+ n f)) (cbrt (+ n f))) (/ -1 (- (/ f (cbrt (+ n f))) (/ n (cbrt (+ n f))))) (sqrt (+ n f)) (/ -1 (- (/ f (sqrt (+ n f))) (/ n (sqrt (+ n f))))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 1 (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) (+ n f) (/ -1 (- f n)) (/ 1 (+ (* (- n f) n) (* f f))) (/ -1 (- (/ f (+ (* (* f f) f) (* n (* n n)))) (/ n (+ (* (* f f) f) (* n (* n n)))))) (/ 1 (- f n)) (/ -1 (- (/ f (- (* f f) (* n n))) (/ n (- (* f f) (* n n))))) (/ 1 (- (/ f (+ n f)) (/ n (+ n f)))) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (/ (/ -1 (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (cbrt (- (/ f (+ n f)) (/ n (+ n f))))) (/ -1 (sqrt (- (/ f (+ n f)) (/ n (+ n f))))) -1 (/ -1 (+ (sqrt (/ f (+ n f))) (sqrt (/ n (+ n f))))) (/ -1 (+ (sqrt (/ f (+ n f))) (/ (sqrt n) (sqrt (+ n f))))) (/ -1 (+ (sqrt (/ n (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (/ -1 (+ (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))))) (- (* (cbrt (+ n f)) (cbrt (+ n f)))) (- (sqrt (+ n f))) -1 -1 -1 -1 -1 (- (+ n f)) (/ -1 (+ (* (- n f) n) (* f f))) (/ -1 (- f n)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (cbrt -1)) (/ (- (/ f (+ n f)) (/ n (+ n f))) (sqrt -1)) (/ (- (/ f (+ n f)) (/ n (+ n f))) -1) (/ -1 (- f n)) (/ -1 (- (* (+ n f) f) (* n (+ n f)))) (/ -1 (- (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))))) (/ (/ -1 (+ (/ f (+ n f)) (/ n (+ n f)))) (- (/ f (+ n f)) (/ n (+ n f)))) (log (/ n (+ n f))) (log (/ n (+ n f))) (exp (/ n (+ n f))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))) (* (cbrt (/ n (+ n f))) (cbrt (/ n (+ n f)))) (cbrt (/ n (+ n f))) (* (/ n (+ n f)) (* (/ n (+ n f)) (/ n (+ n f)))) (sqrt (/ n (+ n f))) (sqrt (/ n (+ n f))) (- n) (- (+ n f)) (* (/ (cbrt n) (cbrt (+ n f))) (/ (cbrt n) (cbrt (+ n f)))) (/ (cbrt n) (cbrt (+ n f))) (* (/ (cbrt n) (sqrt (+ n f))) (cbrt n)) (/ (cbrt n) (sqrt (+ n f))) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ n f)) (* (cbrt n) (cbrt n)) (/ (cbrt n) (+ n f)) (/ (sqrt n) (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ (sqrt n) (cbrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))) (/ (sqrt n) (sqrt (+ n f))) (sqrt n) (/ (sqrt n) (+ n f)) (sqrt n) (/ (sqrt n) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ n (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ n (sqrt (+ n f))) 1 (/ n (+ n f)) 1 (/ n (+ n f)) (/ 1 (+ n f)) (/ (+ n f) n) (/ n (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ n (sqrt (+ n f))) n n (/ (+ n f) (cbrt n)) (/ (+ n f) (sqrt n)) (/ (+ n f) n) (/ n (+ (* (* f f) f) (* n (* n n)))) (/ n (- (* f f) (* n n))) (log (/ f (+ n f))) (log (/ f (+ n f))) (exp (/ f (+ n f))) (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) (* (cbrt (/ f (+ n f))) (cbrt (/ f (+ n f)))) (cbrt (/ f (+ n f))) (* (/ f (+ n f)) (* (/ f (+ n f)) (/ f (+ n f)))) (sqrt (/ f (+ n f))) (sqrt (/ f (+ n f))) (- f) (- (+ n f)) (* (/ (cbrt f) (cbrt (+ n f))) (/ (cbrt f) (cbrt (+ n f)))) (/ (cbrt f) (cbrt (+ n f))) (/ (* (cbrt f) (cbrt f)) (sqrt (+ n f))) (/ (cbrt f) (sqrt (+ n f))) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ n f)) (* (cbrt f) (cbrt f)) (/ (cbrt f) (+ n f)) (/ (/ (sqrt f) (cbrt (+ n f))) (cbrt (+ n f))) (/ (sqrt f) (cbrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))) (/ (sqrt f) (sqrt (+ n f))) (sqrt f) (/ (sqrt f) (+ n f)) (sqrt f) (/ (sqrt f) (+ n f)) (/ 1 (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ f (cbrt (+ n f))) (/ 1 (sqrt (+ n f))) (/ f (sqrt (+ n f))) 1 (/ f (+ n f)) 1 (/ f (+ n f)) (/ 1 (+ n f)) (/ (+ n f) f) (/ f (* (cbrt (+ n f)) (cbrt (+ n f)))) (/ f (sqrt (+ n f))) f f (/ (+ n f) (cbrt f)) (/ (+ n f) (sqrt f)) (/ (+ n f) f) (/ f (+ (* (* f f) f) (* n (* n n)))) (/ f (- (* f f) (* n n))) -1 1 1 1 -1 -1 0 0 0 0 0 0 6.796 * * * [progress]: adding candidates to table 7.575 * * [progress]: iteration 4 / 4 7.575 * * * [progress]: picking best candidate 7.581 * * * * [pick]: Picked # 7.581 * * * [progress]: localizing error 7.612 * * * [progress]: generating rewritten candidates 7.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.630 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.763 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 7.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.953 * * * [progress]: generating series expansions 7.953 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.953 * [backup-simplify]: Simplify (/ 1 (/ (+ f n) n)) into (/ n (+ n f)) 7.953 * [approximate]: Taking taylor expansion of (/ n (+ n f)) in (f n) around 0 7.953 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 7.953 * [taylor]: Taking taylor expansion of n in n 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [taylor]: Taking taylor expansion of (+ n f) in n 7.953 * [taylor]: Taking taylor expansion of n in n 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [taylor]: Taking taylor expansion of f in n 7.953 * [backup-simplify]: Simplify f into f 7.953 * [backup-simplify]: Simplify (+ 0 f) into f 7.953 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.953 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.953 * [taylor]: Taking taylor expansion of n in f 7.953 * [backup-simplify]: Simplify n into n 7.953 * [taylor]: Taking taylor expansion of (+ n f) in f 7.953 * [taylor]: Taking taylor expansion of n in f 7.953 * [backup-simplify]: Simplify n into n 7.954 * [taylor]: Taking taylor expansion of f in f 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify (+ n 0) into n 7.954 * [backup-simplify]: Simplify (/ n n) into 1 7.954 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 7.954 * [taylor]: Taking taylor expansion of n in f 7.954 * [backup-simplify]: Simplify n into n 7.954 * [taylor]: Taking taylor expansion of (+ n f) in f 7.954 * [taylor]: Taking taylor expansion of n in f 7.954 * [backup-simplify]: Simplify n into n 7.954 * [taylor]: Taking taylor expansion of f in f 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify (+ n 0) into n 7.954 * [backup-simplify]: Simplify (/ n n) into 1 7.954 * [taylor]: Taking taylor expansion of 1 in n 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify (+ 0 1) into 1 7.955 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 7.955 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 7.955 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.955 * [taylor]: Taking taylor expansion of n in n 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.956 * [backup-simplify]: Simplify (/ 1 1) into 1 7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify (- 0) into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (+ 0 0) into 0 7.958 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 7.958 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.958 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.958 * [taylor]: Taking taylor expansion of n in n 7.958 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (* 1 1) into 1 7.959 * [backup-simplify]: Simplify (/ 1 1) into 1 7.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.966 * [backup-simplify]: Simplify (- 0) into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 f) (/ 1 n)) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 7.966 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (f n) around 0 7.966 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 7.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 7.966 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.966 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.966 * [taylor]: Taking taylor expansion of f in n 7.966 * [backup-simplify]: Simplify f into f 7.966 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.966 * [taylor]: Taking taylor expansion of n in n 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [taylor]: Taking taylor expansion of n in n 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (+ 0 1) into 1 7.968 * [backup-simplify]: Simplify (* 1 0) into 0 7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.969 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 7.970 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.970 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.970 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.970 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.970 * [taylor]: Taking taylor expansion of f in f 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.970 * [taylor]: Taking taylor expansion of n in f 7.970 * [backup-simplify]: Simplify n into n 7.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.970 * [taylor]: Taking taylor expansion of n in f 7.970 * [backup-simplify]: Simplify n into n 7.971 * [backup-simplify]: Simplify (+ 1 0) into 1 7.971 * [backup-simplify]: Simplify (* 1 n) into n 7.971 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.971 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 7.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 7.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.971 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.971 * [taylor]: Taking taylor expansion of f in f 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (/ 1 1) into 1 7.972 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.972 * [taylor]: Taking taylor expansion of n in f 7.972 * [backup-simplify]: Simplify n into n 7.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.972 * [taylor]: Taking taylor expansion of n in f 7.972 * [backup-simplify]: Simplify n into n 7.972 * [backup-simplify]: Simplify (+ 1 0) into 1 7.972 * [backup-simplify]: Simplify (* 1 n) into n 7.972 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.973 * [taylor]: Taking taylor expansion of n in n 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.975 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.975 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 7.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 7.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 7.976 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.976 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.976 * [taylor]: Taking taylor expansion of n in n 7.976 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify 1 into 1 7.976 * [backup-simplify]: Simplify (* 1 1) into 1 7.976 * [backup-simplify]: Simplify (/ 1 1) into 1 7.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (- 0) into 0 7.980 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.983 * [backup-simplify]: Simplify (+ 0 0) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 7.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 7.984 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 7.984 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.984 * [taylor]: Taking taylor expansion of n in n 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (* 1 1) into 1 7.985 * [backup-simplify]: Simplify (* 1 1) into 1 7.985 * [backup-simplify]: Simplify (/ 1 1) into 1 7.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.997 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (- 0) into 0 8.000 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) 8.002 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in (f n) around 0 8.002 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.002 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.002 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.002 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.002 * [taylor]: Taking taylor expansion of f in n 8.002 * [backup-simplify]: Simplify f into f 8.002 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.002 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.002 * [taylor]: Taking taylor expansion of n in n 8.002 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify 1 into 1 8.003 * [backup-simplify]: Simplify (/ 1 1) into 1 8.003 * [taylor]: Taking taylor expansion of n in n 8.003 * [backup-simplify]: Simplify 0 into 0 8.003 * [backup-simplify]: Simplify 1 into 1 8.003 * [backup-simplify]: Simplify (+ 0 1) into 1 8.004 * [backup-simplify]: Simplify (* 1 0) into 0 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.005 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.005 * [backup-simplify]: Simplify (/ 1 1) into 1 8.005 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.005 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.005 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.005 * [taylor]: Taking taylor expansion of f in f 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (/ 1 1) into 1 8.006 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.006 * [taylor]: Taking taylor expansion of n in f 8.006 * [backup-simplify]: Simplify n into n 8.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.006 * [taylor]: Taking taylor expansion of n in f 8.006 * [backup-simplify]: Simplify n into n 8.006 * [backup-simplify]: Simplify (+ 1 0) into 1 8.006 * [backup-simplify]: Simplify (* 1 n) into n 8.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.006 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.006 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.006 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.006 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.006 * [taylor]: Taking taylor expansion of f in f 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.007 * [backup-simplify]: Simplify (/ 1 1) into 1 8.007 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.007 * [taylor]: Taking taylor expansion of n in f 8.007 * [backup-simplify]: Simplify n into n 8.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.007 * [taylor]: Taking taylor expansion of n in f 8.007 * [backup-simplify]: Simplify n into n 8.007 * [backup-simplify]: Simplify (+ 1 0) into 1 8.007 * [backup-simplify]: Simplify (* 1 n) into n 8.007 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.007 * [taylor]: Taking taylor expansion of n in n 8.007 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify 1 into 1 8.007 * [backup-simplify]: Simplify (/ 1 1) into 1 8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.009 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.009 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.009 * [taylor]: Taking taylor expansion of n in n 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify (* 1 1) into 1 8.010 * [backup-simplify]: Simplify (/ 1 1) into 1 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.012 * [backup-simplify]: Simplify (- 0) into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.013 * [backup-simplify]: Simplify (+ 0 0) into 0 8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.014 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.014 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.014 * [taylor]: Taking taylor expansion of n in n 8.014 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify 1 into 1 8.014 * [backup-simplify]: Simplify (* 1 1) into 1 8.014 * [backup-simplify]: Simplify (* 1 1) into 1 8.014 * [backup-simplify]: Simplify (/ 1 1) into 1 8.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- 0) into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.021 * [backup-simplify]: Simplify (- (/ f (+ f n)) (/ 1 (/ (+ f n) n))) into (- (/ f (+ n f)) (/ n (+ n f))) 8.021 * [approximate]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in (f n) around 0 8.021 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 8.021 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 8.021 * [taylor]: Taking taylor expansion of f in n 8.021 * [backup-simplify]: Simplify f into f 8.021 * [taylor]: Taking taylor expansion of (+ n f) in n 8.021 * [taylor]: Taking taylor expansion of n in n 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 1 into 1 8.021 * [taylor]: Taking taylor expansion of f in n 8.021 * [backup-simplify]: Simplify f into f 8.021 * [backup-simplify]: Simplify (+ 0 f) into f 8.021 * [backup-simplify]: Simplify (/ f f) into 1 8.021 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 8.022 * [taylor]: Taking taylor expansion of n in n 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of (+ n f) in n 8.022 * [taylor]: Taking taylor expansion of n in n 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of f in n 8.022 * [backup-simplify]: Simplify f into f 8.022 * [backup-simplify]: Simplify (+ 0 f) into f 8.022 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.022 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.022 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of (+ n f) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (+ n 0) into n 8.022 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.022 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of (+ n f) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (+ n 0) into n 8.022 * [backup-simplify]: Simplify (/ n n) into 1 8.022 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.022 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [taylor]: Taking taylor expansion of (+ n f) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (+ n 0) into n 8.022 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.022 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of (+ n f) in f 8.022 * [taylor]: Taking taylor expansion of n in f 8.022 * [backup-simplify]: Simplify n into n 8.022 * [taylor]: Taking taylor expansion of f in f 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (+ n 0) into n 8.023 * [backup-simplify]: Simplify (/ n n) into 1 8.023 * [backup-simplify]: Simplify (- 1) into -1 8.023 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.023 * [taylor]: Taking taylor expansion of -1 in n 8.023 * [backup-simplify]: Simplify -1 into -1 8.023 * [backup-simplify]: Simplify -1 into -1 8.023 * [backup-simplify]: Simplify (+ 0 1) into 1 8.024 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 8.024 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 8.024 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 8.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.024 * [taylor]: Taking taylor expansion of 2 in n 8.024 * [backup-simplify]: Simplify 2 into 2 8.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.024 * [taylor]: Taking taylor expansion of n in n 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 1 into 1 8.024 * [backup-simplify]: Simplify (/ 1 1) into 1 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify (+ 0 1) into 1 8.025 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.026 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 8.026 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 8.026 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.026 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.026 * [taylor]: Taking taylor expansion of 2 in n 8.026 * [backup-simplify]: Simplify 2 into 2 8.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.026 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.026 * [taylor]: Taking taylor expansion of n in n 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify 1 into 1 8.027 * [backup-simplify]: Simplify (* 1 1) into 1 8.027 * [backup-simplify]: Simplify (/ 1 1) into 1 8.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.030 * [backup-simplify]: Simplify (- 0) into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.031 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.032 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 8.032 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 8.032 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 8.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.032 * [taylor]: Taking taylor expansion of 2 in n 8.032 * [backup-simplify]: Simplify 2 into 2 8.032 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.032 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.032 * [taylor]: Taking taylor expansion of n in n 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (* 1 1) into 1 8.033 * [backup-simplify]: Simplify (* 1 1) into 1 8.033 * [backup-simplify]: Simplify (/ 1 1) into 1 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.038 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify -1 into -1 8.039 * [backup-simplify]: Simplify (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ 1 (/ (+ (/ 1 f) (/ 1 n)) (/ 1 n)))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 8.039 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 8.039 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.039 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.039 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.039 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.039 * [taylor]: Taking taylor expansion of f in n 8.039 * [backup-simplify]: Simplify f into f 8.039 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.039 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.039 * [taylor]: Taking taylor expansion of n in n 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [taylor]: Taking taylor expansion of f in n 8.039 * [backup-simplify]: Simplify f into f 8.040 * [backup-simplify]: Simplify (+ 0 1) into 1 8.040 * [backup-simplify]: Simplify (* 1 f) into f 8.040 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.040 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.040 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.040 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.040 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.040 * [taylor]: Taking taylor expansion of f in n 8.040 * [backup-simplify]: Simplify f into f 8.040 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.040 * [taylor]: Taking taylor expansion of n in n 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [backup-simplify]: Simplify (/ 1 1) into 1 8.040 * [taylor]: Taking taylor expansion of n in n 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.040 * [backup-simplify]: Simplify (+ 0 1) into 1 8.041 * [backup-simplify]: Simplify (* 1 0) into 0 8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.042 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.042 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.042 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.042 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.042 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.042 * [taylor]: Taking taylor expansion of f in f 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (/ 1 1) into 1 8.042 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.042 * [taylor]: Taking taylor expansion of n in f 8.042 * [backup-simplify]: Simplify n into n 8.042 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.042 * [taylor]: Taking taylor expansion of f in f 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.043 * [backup-simplify]: Simplify (+ 1 0) into 1 8.043 * [backup-simplify]: Simplify (* 1 0) into 0 8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.044 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.044 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.044 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.044 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.044 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.044 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.044 * [taylor]: Taking taylor expansion of f in f 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [backup-simplify]: Simplify (/ 1 1) into 1 8.044 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.045 * [taylor]: Taking taylor expansion of n in f 8.045 * [backup-simplify]: Simplify n into n 8.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.045 * [taylor]: Taking taylor expansion of n in f 8.045 * [backup-simplify]: Simplify n into n 8.045 * [backup-simplify]: Simplify (+ 1 0) into 1 8.045 * [backup-simplify]: Simplify (* 1 n) into n 8.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.045 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.045 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.045 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.045 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.045 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.045 * [taylor]: Taking taylor expansion of f in f 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (/ 1 1) into 1 8.046 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.046 * [taylor]: Taking taylor expansion of n in f 8.046 * [backup-simplify]: Simplify n into n 8.046 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.046 * [taylor]: Taking taylor expansion of f in f 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (+ 1 0) into 1 8.046 * [backup-simplify]: Simplify (* 1 0) into 0 8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.047 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.047 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.047 * [backup-simplify]: Simplify (/ 1 1) into 1 8.047 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.047 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.047 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.047 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.047 * [taylor]: Taking taylor expansion of f in f 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (/ 1 1) into 1 8.048 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.048 * [taylor]: Taking taylor expansion of n in f 8.048 * [backup-simplify]: Simplify n into n 8.048 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.048 * [taylor]: Taking taylor expansion of n in f 8.048 * [backup-simplify]: Simplify n into n 8.048 * [backup-simplify]: Simplify (+ 1 0) into 1 8.048 * [backup-simplify]: Simplify (* 1 n) into n 8.048 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.048 * [backup-simplify]: Simplify (+ 1 0) into 1 8.048 * [taylor]: Taking taylor expansion of 1 in n 8.048 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify 1 into 1 8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.049 * [backup-simplify]: Simplify (+ 0 0) into 0 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.050 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.050 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.050 * [taylor]: Taking taylor expansion of 2 in n 8.050 * [backup-simplify]: Simplify 2 into 2 8.050 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.050 * [taylor]: Taking taylor expansion of n in n 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.052 * [backup-simplify]: Simplify (- 0) into 0 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.053 * [backup-simplify]: Simplify (+ 0 0) into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.054 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.055 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.055 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.055 * [taylor]: Taking taylor expansion of 2 in n 8.055 * [backup-simplify]: Simplify 2 into 2 8.055 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.055 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.055 * [taylor]: Taking taylor expansion of n in n 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.055 * [backup-simplify]: Simplify (* 1 1) into 1 8.056 * [backup-simplify]: Simplify (/ 1 1) into 1 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.058 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.061 * [backup-simplify]: Simplify (+ 0 0) into 0 8.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.065 * [backup-simplify]: Simplify (+ 0 0) into 0 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.066 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.067 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.067 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.067 * [taylor]: Taking taylor expansion of 2 in n 8.067 * [backup-simplify]: Simplify 2 into 2 8.067 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.067 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.067 * [taylor]: Taking taylor expansion of n in n 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify (* 1 1) into 1 8.068 * [backup-simplify]: Simplify (* 1 1) into 1 8.068 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (- 0) into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.079 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) 8.079 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in (f n) around 0 8.079 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.079 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.079 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.079 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.079 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.079 * [taylor]: Taking taylor expansion of f in n 8.079 * [backup-simplify]: Simplify f into f 8.079 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.079 * [taylor]: Taking taylor expansion of n in n 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify 1 into 1 8.080 * [backup-simplify]: Simplify (/ 1 1) into 1 8.080 * [taylor]: Taking taylor expansion of f in n 8.080 * [backup-simplify]: Simplify f into f 8.080 * [backup-simplify]: Simplify (+ 0 1) into 1 8.080 * [backup-simplify]: Simplify (* 1 f) into f 8.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.080 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.080 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.080 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.080 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.080 * [taylor]: Taking taylor expansion of f in n 8.080 * [backup-simplify]: Simplify f into f 8.080 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.081 * [taylor]: Taking taylor expansion of n in n 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (/ 1 1) into 1 8.081 * [taylor]: Taking taylor expansion of n in n 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (+ 0 1) into 1 8.082 * [backup-simplify]: Simplify (* 1 0) into 0 8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.083 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.083 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.084 * [backup-simplify]: Simplify (/ 1 1) into 1 8.084 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.084 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.084 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.084 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.084 * [taylor]: Taking taylor expansion of f in f 8.084 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify 1 into 1 8.084 * [backup-simplify]: Simplify (/ 1 1) into 1 8.084 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.084 * [taylor]: Taking taylor expansion of n in f 8.084 * [backup-simplify]: Simplify n into n 8.084 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.084 * [taylor]: Taking taylor expansion of f in f 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [backup-simplify]: Simplify (+ 1 0) into 1 8.085 * [backup-simplify]: Simplify (* 1 0) into 0 8.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.087 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.087 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.087 * [backup-simplify]: Simplify (/ 1 1) into 1 8.087 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.088 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.088 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.088 * [taylor]: Taking taylor expansion of f in f 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.088 * [backup-simplify]: Simplify (/ 1 1) into 1 8.088 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.088 * [taylor]: Taking taylor expansion of n in f 8.088 * [backup-simplify]: Simplify n into n 8.088 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.088 * [taylor]: Taking taylor expansion of n in f 8.088 * [backup-simplify]: Simplify n into n 8.089 * [backup-simplify]: Simplify (+ 1 0) into 1 8.089 * [backup-simplify]: Simplify (* 1 n) into n 8.089 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.089 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.089 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.089 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.089 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.089 * [taylor]: Taking taylor expansion of f in f 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (/ 1 1) into 1 8.089 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.089 * [taylor]: Taking taylor expansion of n in f 8.089 * [backup-simplify]: Simplify n into n 8.089 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.089 * [taylor]: Taking taylor expansion of f in f 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.090 * [backup-simplify]: Simplify (+ 1 0) into 1 8.090 * [backup-simplify]: Simplify (* 1 0) into 0 8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.090 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.091 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.091 * [backup-simplify]: Simplify (/ 1 1) into 1 8.091 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.091 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.091 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.091 * [taylor]: Taking taylor expansion of f in f 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (/ 1 1) into 1 8.091 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.091 * [taylor]: Taking taylor expansion of n in f 8.091 * [backup-simplify]: Simplify n into n 8.091 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.091 * [taylor]: Taking taylor expansion of n in f 8.091 * [backup-simplify]: Simplify n into n 8.092 * [backup-simplify]: Simplify (+ 1 0) into 1 8.092 * [backup-simplify]: Simplify (* 1 n) into n 8.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.092 * [backup-simplify]: Simplify (+ 1 0) into 1 8.092 * [taylor]: Taking taylor expansion of 1 in n 8.092 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify 1 into 1 8.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.093 * [backup-simplify]: Simplify (+ 0 0) into 0 8.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.094 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.094 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.094 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.094 * [taylor]: Taking taylor expansion of 2 in n 8.094 * [backup-simplify]: Simplify 2 into 2 8.094 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.094 * [taylor]: Taking taylor expansion of n in n 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 1 into 1 8.094 * [backup-simplify]: Simplify (/ 1 1) into 1 8.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.095 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.095 * [backup-simplify]: Simplify (- 0) into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.098 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.099 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.099 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.099 * [taylor]: Taking taylor expansion of 2 in n 8.099 * [backup-simplify]: Simplify 2 into 2 8.099 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.099 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.099 * [taylor]: Taking taylor expansion of n in n 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [backup-simplify]: Simplify (* 1 1) into 1 8.099 * [backup-simplify]: Simplify (/ 1 1) into 1 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.104 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.105 * [backup-simplify]: Simplify (- 0) into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.106 * [backup-simplify]: Simplify (+ 0 0) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.109 * [backup-simplify]: Simplify (+ 0 0) into 0 8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.110 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.110 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.110 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.110 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.110 * [taylor]: Taking taylor expansion of 2 in n 8.110 * [backup-simplify]: Simplify 2 into 2 8.110 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.110 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.110 * [taylor]: Taking taylor expansion of n in n 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify 1 into 1 8.110 * [backup-simplify]: Simplify (* 1 1) into 1 8.110 * [backup-simplify]: Simplify (* 1 1) into 1 8.111 * [backup-simplify]: Simplify (/ 1 1) into 1 8.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.116 * [backup-simplify]: Simplify (- 0) into 0 8.116 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.117 * [backup-simplify]: Simplify (/ -1 (- (/ f (+ f n)) (/ 1 (/ (+ f n) n)))) into (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) 8.117 * [approximate]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in (f n) around 0 8.117 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in n 8.117 * [taylor]: Taking taylor expansion of -1 in n 8.117 * [backup-simplify]: Simplify -1 into -1 8.117 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in n 8.117 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 8.117 * [taylor]: Taking taylor expansion of f in n 8.117 * [backup-simplify]: Simplify f into f 8.117 * [taylor]: Taking taylor expansion of (+ n f) in n 8.117 * [taylor]: Taking taylor expansion of n in n 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [taylor]: Taking taylor expansion of f in n 8.117 * [backup-simplify]: Simplify f into f 8.117 * [backup-simplify]: Simplify (+ 0 f) into f 8.117 * [backup-simplify]: Simplify (/ f f) into 1 8.117 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 8.117 * [taylor]: Taking taylor expansion of n in n 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [taylor]: Taking taylor expansion of (+ n f) in n 8.117 * [taylor]: Taking taylor expansion of n in n 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [taylor]: Taking taylor expansion of f in n 8.117 * [backup-simplify]: Simplify f into f 8.117 * [backup-simplify]: Simplify (+ 0 f) into f 8.117 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.118 * [backup-simplify]: Simplify (+ 1 0) into 1 8.118 * [backup-simplify]: Simplify (/ -1 1) into -1 8.118 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 8.118 * [taylor]: Taking taylor expansion of -1 in f 8.118 * [backup-simplify]: Simplify -1 into -1 8.118 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.118 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.118 * [taylor]: Taking taylor expansion of f in f 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of (+ n f) in f 8.118 * [taylor]: Taking taylor expansion of n in f 8.118 * [backup-simplify]: Simplify n into n 8.118 * [taylor]: Taking taylor expansion of f in f 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (+ n 0) into n 8.118 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.118 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.118 * [taylor]: Taking taylor expansion of n in f 8.118 * [backup-simplify]: Simplify n into n 8.118 * [taylor]: Taking taylor expansion of (+ n f) in f 8.118 * [taylor]: Taking taylor expansion of n in f 8.118 * [backup-simplify]: Simplify n into n 8.118 * [taylor]: Taking taylor expansion of f in f 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (+ n 0) into n 8.118 * [backup-simplify]: Simplify (/ n n) into 1 8.119 * [backup-simplify]: Simplify (- 1) into -1 8.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.119 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.119 * [taylor]: Taking taylor expansion of (/ -1 (- (/ f (+ n f)) (/ n (+ n f)))) in f 8.119 * [taylor]: Taking taylor expansion of -1 in f 8.119 * [backup-simplify]: Simplify -1 into -1 8.119 * [taylor]: Taking taylor expansion of (- (/ f (+ n f)) (/ n (+ n f))) in f 8.119 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.119 * [taylor]: Taking taylor expansion of f in f 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 1 into 1 8.119 * [taylor]: Taking taylor expansion of (+ n f) in f 8.119 * [taylor]: Taking taylor expansion of n in f 8.119 * [backup-simplify]: Simplify n into n 8.119 * [taylor]: Taking taylor expansion of f in f 8.119 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify 1 into 1 8.119 * [backup-simplify]: Simplify (+ n 0) into n 8.119 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.119 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 8.119 * [taylor]: Taking taylor expansion of n in f 8.120 * [backup-simplify]: Simplify n into n 8.120 * [taylor]: Taking taylor expansion of (+ n f) in f 8.120 * [taylor]: Taking taylor expansion of n in f 8.120 * [backup-simplify]: Simplify n into n 8.120 * [taylor]: Taking taylor expansion of f in f 8.120 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify 1 into 1 8.120 * [backup-simplify]: Simplify (+ n 0) into n 8.120 * [backup-simplify]: Simplify (/ n n) into 1 8.120 * [backup-simplify]: Simplify (- 1) into -1 8.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.120 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.121 * [taylor]: Taking taylor expansion of 1 in n 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify (+ 0 1) into 1 8.121 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 8.121 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 8.121 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 8.121 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 n)) 8.122 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.122 * [taylor]: Taking taylor expansion of 2 in n 8.122 * [backup-simplify]: Simplify 2 into 2 8.122 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.122 * [taylor]: Taking taylor expansion of n in n 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (/ 1 1) into 1 8.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.123 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (+ 0 1) into 1 8.123 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.123 * [backup-simplify]: Simplify (+ 0 0) into 0 8.124 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 8.124 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 8.124 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 8.125 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 n)) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 2))) 8.125 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.125 * [taylor]: Taking taylor expansion of 2 in n 8.125 * [backup-simplify]: Simplify 2 into 2 8.125 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.125 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.125 * [taylor]: Taking taylor expansion of n in n 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify 1 into 1 8.125 * [backup-simplify]: Simplify (* 1 1) into 1 8.125 * [backup-simplify]: Simplify (/ 1 1) into 1 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify (+ 0 0) into 0 8.130 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.130 * [backup-simplify]: Simplify (+ 0 0) into 0 8.130 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 8.130 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 8.130 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 8.131 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (* 2 (/ 1 (pow n 3))) -1)) (* (* 2 (/ 1 n)) (/ (- (* 2 (/ 1 (pow n 2)))) -1)) (* (* 2 (/ 1 (pow n 2))) (/ (* 2 (/ 1 n)) -1)))) into (* 2 (/ 1 (pow n 3))) 8.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.131 * [taylor]: Taking taylor expansion of 2 in n 8.131 * [backup-simplify]: Simplify 2 into 2 8.131 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.131 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.131 * [taylor]: Taking taylor expansion of n in n 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (* 1 1) into 1 8.132 * [backup-simplify]: Simplify (* 1 1) into 1 8.132 * [backup-simplify]: Simplify (/ 1 1) into 1 8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.138 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) (/ 1 (/ (+ (/ 1 f) (/ 1 n)) (/ 1 n))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 8.138 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 8.138 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 8.138 * [taylor]: Taking taylor expansion of -1 in n 8.138 * [backup-simplify]: Simplify -1 into -1 8.138 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.138 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.138 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.138 * [taylor]: Taking taylor expansion of f in n 8.138 * [backup-simplify]: Simplify f into f 8.138 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.138 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.138 * [taylor]: Taking taylor expansion of n in n 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.139 * [taylor]: Taking taylor expansion of f in n 8.139 * [backup-simplify]: Simplify f into f 8.139 * [backup-simplify]: Simplify (+ 0 1) into 1 8.139 * [backup-simplify]: Simplify (* 1 f) into f 8.139 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.139 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.139 * [taylor]: Taking taylor expansion of f in n 8.139 * [backup-simplify]: Simplify f into f 8.139 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.139 * [taylor]: Taking taylor expansion of n in n 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.139 * [taylor]: Taking taylor expansion of n in n 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (+ 0 1) into 1 8.140 * [backup-simplify]: Simplify (* 1 0) into 0 8.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.141 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.142 * [backup-simplify]: Simplify (/ 1 1) into 1 8.142 * [backup-simplify]: Simplify (- 1) into -1 8.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.143 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.143 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.143 * [taylor]: Taking taylor expansion of -1 in f 8.143 * [backup-simplify]: Simplify -1 into -1 8.143 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.143 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.143 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.143 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.143 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.143 * [taylor]: Taking taylor expansion of f in f 8.143 * [backup-simplify]: Simplify 0 into 0 8.143 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (/ 1 1) into 1 8.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.144 * [taylor]: Taking taylor expansion of n in f 8.144 * [backup-simplify]: Simplify n into n 8.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.144 * [taylor]: Taking taylor expansion of f in f 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (+ 1 0) into 1 8.145 * [backup-simplify]: Simplify (* 1 0) into 0 8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.146 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.146 * [backup-simplify]: Simplify (/ 1 1) into 1 8.146 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.147 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.147 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.147 * [taylor]: Taking taylor expansion of f in f 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (/ 1 1) into 1 8.147 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.147 * [taylor]: Taking taylor expansion of n in f 8.147 * [backup-simplify]: Simplify n into n 8.147 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.147 * [taylor]: Taking taylor expansion of n in f 8.147 * [backup-simplify]: Simplify n into n 8.148 * [backup-simplify]: Simplify (+ 1 0) into 1 8.148 * [backup-simplify]: Simplify (* 1 n) into n 8.148 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.148 * [backup-simplify]: Simplify (+ 1 0) into 1 8.149 * [backup-simplify]: Simplify (/ -1 1) into -1 8.149 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.149 * [taylor]: Taking taylor expansion of -1 in f 8.149 * [backup-simplify]: Simplify -1 into -1 8.149 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.149 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.149 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.149 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.149 * [taylor]: Taking taylor expansion of f in f 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 1 into 1 8.149 * [backup-simplify]: Simplify (/ 1 1) into 1 8.150 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.150 * [taylor]: Taking taylor expansion of n in f 8.150 * [backup-simplify]: Simplify n into n 8.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.150 * [taylor]: Taking taylor expansion of f in f 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (+ 1 0) into 1 8.151 * [backup-simplify]: Simplify (* 1 0) into 0 8.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.152 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.152 * [backup-simplify]: Simplify (/ 1 1) into 1 8.152 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.153 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.153 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.153 * [taylor]: Taking taylor expansion of f in f 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.153 * [backup-simplify]: Simplify (/ 1 1) into 1 8.153 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.153 * [taylor]: Taking taylor expansion of n in f 8.153 * [backup-simplify]: Simplify n into n 8.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.153 * [taylor]: Taking taylor expansion of n in f 8.153 * [backup-simplify]: Simplify n into n 8.154 * [backup-simplify]: Simplify (+ 1 0) into 1 8.154 * [backup-simplify]: Simplify (* 1 n) into n 8.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.154 * [backup-simplify]: Simplify (+ 1 0) into 1 8.155 * [backup-simplify]: Simplify (/ -1 1) into -1 8.155 * [taylor]: Taking taylor expansion of -1 in n 8.155 * [backup-simplify]: Simplify -1 into -1 8.155 * [backup-simplify]: Simplify -1 into -1 8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.157 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.158 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.158 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 8.159 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.159 * [taylor]: Taking taylor expansion of 2 in n 8.159 * [backup-simplify]: Simplify 2 into 2 8.159 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.159 * [taylor]: Taking taylor expansion of n in n 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 1 into 1 8.159 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.161 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (- 0) into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.163 * [backup-simplify]: Simplify (+ 0 0) into 0 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.166 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.167 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.167 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.168 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.169 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.169 * [taylor]: Taking taylor expansion of 2 in n 8.169 * [backup-simplify]: Simplify 2 into 2 8.169 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.169 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.169 * [taylor]: Taking taylor expansion of n in n 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify 1 into 1 8.169 * [backup-simplify]: Simplify (* 1 1) into 1 8.170 * [backup-simplify]: Simplify (/ 1 1) into 1 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.175 * [backup-simplify]: Simplify (- 0) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.179 * [backup-simplify]: Simplify (+ 0 0) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.183 * [backup-simplify]: Simplify (+ 0 0) into 0 8.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.184 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.185 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 8.186 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.186 * [taylor]: Taking taylor expansion of 2 in n 8.186 * [backup-simplify]: Simplify 2 into 2 8.186 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.186 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.186 * [taylor]: Taking taylor expansion of n in n 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (* 1 1) into 1 8.188 * [backup-simplify]: Simplify (* 1 1) into 1 8.188 * [backup-simplify]: Simplify (/ 1 1) into 1 8.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify -1 into -1 8.199 * [backup-simplify]: Simplify (/ -1 (- (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) (/ 1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (/ 1 (- n)))))) into (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) 8.199 * [approximate]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in (f n) around 0 8.199 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in n 8.199 * [taylor]: Taking taylor expansion of -1 in n 8.199 * [backup-simplify]: Simplify -1 into -1 8.199 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in n 8.199 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.199 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.199 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.200 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.200 * [taylor]: Taking taylor expansion of f in n 8.200 * [backup-simplify]: Simplify f into f 8.200 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.200 * [taylor]: Taking taylor expansion of n in n 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 1 into 1 8.200 * [backup-simplify]: Simplify (/ 1 1) into 1 8.200 * [taylor]: Taking taylor expansion of f in n 8.200 * [backup-simplify]: Simplify f into f 8.201 * [backup-simplify]: Simplify (+ 0 1) into 1 8.201 * [backup-simplify]: Simplify (* 1 f) into f 8.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.201 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 8.201 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 8.201 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.201 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.201 * [taylor]: Taking taylor expansion of f in n 8.201 * [backup-simplify]: Simplify f into f 8.201 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.201 * [taylor]: Taking taylor expansion of n in n 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.202 * [backup-simplify]: Simplify (/ 1 1) into 1 8.202 * [taylor]: Taking taylor expansion of n in n 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [backup-simplify]: Simplify (+ 0 1) into 1 8.203 * [backup-simplify]: Simplify (* 1 0) into 0 8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 8.204 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 8.204 * [backup-simplify]: Simplify (/ 1 1) into 1 8.205 * [backup-simplify]: Simplify (- 1) into -1 8.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.206 * [backup-simplify]: Simplify (/ -1 -1) into 1 8.206 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.206 * [taylor]: Taking taylor expansion of -1 in f 8.206 * [backup-simplify]: Simplify -1 into -1 8.206 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.206 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.206 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.206 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.206 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.206 * [taylor]: Taking taylor expansion of f in f 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (/ 1 1) into 1 8.206 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.206 * [taylor]: Taking taylor expansion of n in f 8.206 * [backup-simplify]: Simplify n into n 8.206 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.206 * [taylor]: Taking taylor expansion of f in f 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 1 into 1 8.207 * [backup-simplify]: Simplify (+ 1 0) into 1 8.207 * [backup-simplify]: Simplify (* 1 0) into 0 8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.209 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.209 * [backup-simplify]: Simplify (/ 1 1) into 1 8.209 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.209 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.209 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.209 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.209 * [taylor]: Taking taylor expansion of f in f 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 1 into 1 8.209 * [backup-simplify]: Simplify (/ 1 1) into 1 8.210 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.210 * [taylor]: Taking taylor expansion of n in f 8.210 * [backup-simplify]: Simplify n into n 8.210 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.210 * [taylor]: Taking taylor expansion of n in f 8.210 * [backup-simplify]: Simplify n into n 8.210 * [backup-simplify]: Simplify (+ 1 0) into 1 8.210 * [backup-simplify]: Simplify (* 1 n) into n 8.210 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.211 * [backup-simplify]: Simplify (+ 1 0) into 1 8.211 * [backup-simplify]: Simplify (/ -1 1) into -1 8.211 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)))) in f 8.211 * [taylor]: Taking taylor expansion of -1 in f 8.211 * [backup-simplify]: Simplify -1 into -1 8.211 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) n))) in f 8.211 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.211 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.211 * [taylor]: Taking taylor expansion of f in f 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 1 into 1 8.212 * [backup-simplify]: Simplify (/ 1 1) into 1 8.212 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.212 * [taylor]: Taking taylor expansion of n in f 8.212 * [backup-simplify]: Simplify n into n 8.212 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.212 * [taylor]: Taking taylor expansion of f in f 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 1 into 1 8.212 * [backup-simplify]: Simplify (+ 1 0) into 1 8.213 * [backup-simplify]: Simplify (* 1 0) into 0 8.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.214 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.215 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 8.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 8.215 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.215 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.215 * [taylor]: Taking taylor expansion of f in f 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.216 * [taylor]: Taking taylor expansion of n in f 8.216 * [backup-simplify]: Simplify n into n 8.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.216 * [taylor]: Taking taylor expansion of n in f 8.216 * [backup-simplify]: Simplify n into n 8.216 * [backup-simplify]: Simplify (+ 1 0) into 1 8.216 * [backup-simplify]: Simplify (* 1 n) into n 8.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.217 * [backup-simplify]: Simplify (+ 1 0) into 1 8.217 * [backup-simplify]: Simplify (/ -1 1) into -1 8.217 * [taylor]: Taking taylor expansion of -1 in n 8.217 * [backup-simplify]: Simplify -1 into -1 8.217 * [backup-simplify]: Simplify -1 into -1 8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.219 * [backup-simplify]: Simplify (+ 0 0) into 0 8.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.220 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.220 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 n))) 8.221 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.221 * [taylor]: Taking taylor expansion of 2 in n 8.221 * [backup-simplify]: Simplify 2 into 2 8.221 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.221 * [taylor]: Taking taylor expansion of n in n 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 1 into 1 8.221 * [backup-simplify]: Simplify (/ 1 1) into 1 8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.223 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.223 * [backup-simplify]: Simplify (- 0) into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.225 * [backup-simplify]: Simplify (+ 0 0) into 0 8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.228 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 8.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.229 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 8.230 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 n))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.231 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.231 * [taylor]: Taking taylor expansion of 2 in n 8.231 * [backup-simplify]: Simplify 2 into 2 8.231 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.231 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.231 * [taylor]: Taking taylor expansion of n in n 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.233 * [backup-simplify]: Simplify (* 1 1) into 1 8.233 * [backup-simplify]: Simplify (/ 1 1) into 1 8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.238 * [backup-simplify]: Simplify (- 0) into 0 8.238 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.241 * [backup-simplify]: Simplify (- 0) into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.242 * [backup-simplify]: Simplify (+ 0 0) into 0 8.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.246 * [backup-simplify]: Simplify (+ 0 0) into 0 8.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 8.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.247 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 8.247 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 8.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (- (* 2 (/ 1 (pow n 3)))) 1)) (* (- (* 2 (/ 1 n))) (/ (* 2 (/ 1 (pow n 2))) 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (- (* 2 (/ 1 n))) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 8.248 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.248 * [taylor]: Taking taylor expansion of 2 in n 8.248 * [backup-simplify]: Simplify 2 into 2 8.248 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.248 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.248 * [taylor]: Taking taylor expansion of n in n 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [backup-simplify]: Simplify (* 1 1) into 1 8.248 * [backup-simplify]: Simplify (* 1 1) into 1 8.249 * [backup-simplify]: Simplify (/ 1 1) into 1 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.254 * [backup-simplify]: Simplify (- 0) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify -1 into -1 8.254 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.254 * [backup-simplify]: Simplify (/ f (+ f n)) into (/ f (+ n f)) 8.254 * [approximate]: Taking taylor expansion of (/ f (+ n f)) in (f n) around 0 8.255 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 8.255 * [taylor]: Taking taylor expansion of f in n 8.255 * [backup-simplify]: Simplify f into f 8.255 * [taylor]: Taking taylor expansion of (+ n f) in n 8.255 * [taylor]: Taking taylor expansion of n in n 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [taylor]: Taking taylor expansion of f in n 8.255 * [backup-simplify]: Simplify f into f 8.255 * [backup-simplify]: Simplify (+ 0 f) into f 8.255 * [backup-simplify]: Simplify (/ f f) into 1 8.255 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.255 * [taylor]: Taking taylor expansion of f in f 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [taylor]: Taking taylor expansion of (+ n f) in f 8.255 * [taylor]: Taking taylor expansion of n in f 8.255 * [backup-simplify]: Simplify n into n 8.255 * [taylor]: Taking taylor expansion of f in f 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (+ n 0) into n 8.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.255 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 8.255 * [taylor]: Taking taylor expansion of f in f 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [taylor]: Taking taylor expansion of (+ n f) in f 8.255 * [taylor]: Taking taylor expansion of n in f 8.255 * [backup-simplify]: Simplify n into n 8.255 * [taylor]: Taking taylor expansion of f in f 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (+ n 0) into n 8.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.255 * [taylor]: Taking taylor expansion of n in n 8.255 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (/ 1 1) into 1 8.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (+ 0 1) into 1 8.256 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 8.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow n 2))) in n 8.256 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.256 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.256 * [taylor]: Taking taylor expansion of n in n 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (* 1 1) into 1 8.257 * [backup-simplify]: Simplify (/ 1 1) into 1 8.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (- 0) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.260 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 8.260 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.260 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.260 * [taylor]: Taking taylor expansion of n in n 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 1 into 1 8.261 * [backup-simplify]: Simplify (* 1 1) into 1 8.261 * [backup-simplify]: Simplify (* 1 1) into 1 8.261 * [backup-simplify]: Simplify (/ 1 1) into 1 8.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.267 * [backup-simplify]: Simplify (- 0) into 0 8.267 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify (/ (/ 1 f) (+ (/ 1 f) (/ 1 n))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 8.268 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 8.268 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.268 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.268 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.268 * [taylor]: Taking taylor expansion of f in n 8.268 * [backup-simplify]: Simplify f into f 8.268 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.268 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.268 * [taylor]: Taking taylor expansion of n in n 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 1 into 1 8.268 * [backup-simplify]: Simplify (/ 1 1) into 1 8.268 * [taylor]: Taking taylor expansion of f in n 8.268 * [backup-simplify]: Simplify f into f 8.269 * [backup-simplify]: Simplify (+ 0 1) into 1 8.269 * [backup-simplify]: Simplify (* 1 f) into f 8.269 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.269 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.269 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.269 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.269 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.269 * [taylor]: Taking taylor expansion of f in f 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [backup-simplify]: Simplify (/ 1 1) into 1 8.269 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.269 * [taylor]: Taking taylor expansion of n in f 8.269 * [backup-simplify]: Simplify n into n 8.269 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.269 * [taylor]: Taking taylor expansion of f in f 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.270 * [backup-simplify]: Simplify (+ 1 0) into 1 8.270 * [backup-simplify]: Simplify (* 1 0) into 0 8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.271 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.271 * [backup-simplify]: Simplify (/ 1 1) into 1 8.271 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.271 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.271 * [taylor]: Taking taylor expansion of f in f 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 1 into 1 8.271 * [backup-simplify]: Simplify (/ 1 1) into 1 8.271 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.271 * [taylor]: Taking taylor expansion of n in f 8.271 * [backup-simplify]: Simplify n into n 8.271 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.271 * [taylor]: Taking taylor expansion of f in f 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify 1 into 1 8.272 * [backup-simplify]: Simplify (+ 1 0) into 1 8.272 * [backup-simplify]: Simplify (* 1 0) into 0 8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.272 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.273 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.273 * [backup-simplify]: Simplify (/ 1 1) into 1 8.273 * [taylor]: Taking taylor expansion of 1 in n 8.273 * [backup-simplify]: Simplify 1 into 1 8.273 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.274 * [backup-simplify]: Simplify (+ 0 0) into 0 8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.275 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 8.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.275 * [taylor]: Taking taylor expansion of n in n 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 1 into 1 8.275 * [backup-simplify]: Simplify (/ 1 1) into 1 8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.276 * [backup-simplify]: Simplify (- 0) into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.278 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.280 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.280 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.280 * [taylor]: Taking taylor expansion of n in n 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [backup-simplify]: Simplify (* 1 1) into 1 8.281 * [backup-simplify]: Simplify (/ 1 1) into 1 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.286 * [backup-simplify]: Simplify 0 into 0 8.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify (/ (/ 1 (- f)) (+ (/ 1 (- f)) (/ 1 (- n)))) into (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) 8.288 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in (f n) around 0 8.288 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 8.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 8.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.288 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.288 * [taylor]: Taking taylor expansion of f in n 8.288 * [backup-simplify]: Simplify f into f 8.288 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.288 * [taylor]: Taking taylor expansion of n in n 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (/ 1 1) into 1 8.289 * [taylor]: Taking taylor expansion of f in n 8.289 * [backup-simplify]: Simplify f into f 8.289 * [backup-simplify]: Simplify (+ 0 1) into 1 8.289 * [backup-simplify]: Simplify (* 1 f) into f 8.289 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.290 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.290 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.290 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.290 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.290 * [taylor]: Taking taylor expansion of f in f 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (/ 1 1) into 1 8.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.290 * [taylor]: Taking taylor expansion of n in f 8.290 * [backup-simplify]: Simplify n into n 8.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.290 * [taylor]: Taking taylor expansion of f in f 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.291 * [backup-simplify]: Simplify (+ 1 0) into 1 8.291 * [backup-simplify]: Simplify (* 1 0) into 0 8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.292 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.293 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.293 * [backup-simplify]: Simplify (/ 1 1) into 1 8.293 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 8.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.293 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.293 * [taylor]: Taking taylor expansion of f in f 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (/ 1 1) into 1 8.294 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.294 * [taylor]: Taking taylor expansion of n in f 8.294 * [backup-simplify]: Simplify n into n 8.294 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.294 * [taylor]: Taking taylor expansion of f in f 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (+ 1 0) into 1 8.295 * [backup-simplify]: Simplify (* 1 0) into 0 8.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.296 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.296 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 8.296 * [backup-simplify]: Simplify (/ 1 1) into 1 8.297 * [taylor]: Taking taylor expansion of 1 in n 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.298 * [backup-simplify]: Simplify (+ 0 0) into 0 8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 8.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 8.300 * [taylor]: Taking taylor expansion of (- (/ 1 n)) in n 8.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.300 * [taylor]: Taking taylor expansion of n in n 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 1 into 1 8.300 * [backup-simplify]: Simplify (/ 1 1) into 1 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (- 0) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.304 * [backup-simplify]: Simplify (+ 0 0) into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 8.305 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.305 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.305 * [taylor]: Taking taylor expansion of n in n 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 1 into 1 8.306 * [backup-simplify]: Simplify (* 1 1) into 1 8.306 * [backup-simplify]: Simplify (/ 1 1) into 1 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.310 * [backup-simplify]: Simplify (- 0) into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.310 * * * [progress]: simplifying candidates 8.314 * [simplify]: Simplifying: (- 1) (- (- (log (+ f n)) (log n))) (- (log (/ (+ f n) n))) (- 0 (- (log (+ f n)) (log n))) (- 0 (log (/ (+ f n) n))) (- (log 1) (- (log (+ f n)) (log n))) (- (log 1) (log (/ (+ f n) n))) (log (/ 1 (/ (+ f n) n))) (exp (/ 1 (/ (+ f n) n))) (/ (* (* 1 1) 1) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* n n) n))) (/ (* (* 1 1) 1) (* 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n))) 0 0 0 -1 1 1 1 -1 -1 0 0 0 9.999 * * * [progress]: adding candidates to table 11.333 * [progress]: [Phase 3 of 3] Extracting. 11.334 * * [regime]: Finding splitpoints for: (# # #) 11.335 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 11.336 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # #) 11.367 * * * * [regimes]: Trying to branch on n from (# # #) 11.404 * * * * [regimes]: Trying to branch on f from (# # #) 11.450 * * * [regime]: Found split indices: #