0.705 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.128 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.142 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.142 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.143 * * [simplify]: Extracting # 2 : cost 6 inf + 0 0.143 * * [simplify]: Extracting # 3 : cost 4 inf + 2 0.143 * * [simplify]: Extracting # 4 : cost 0 inf + 330 0.143 * * [simplify]: iteration 0 : 6 enodes (cost 162 ) 0.149 * * [simplify]: Extracting # 0 : cost 0 inf + 330 0.149 * * [simplify]: Extracting # 1 : cost 3 inf + 330 0.150 * * [simplify]: Extracting # 2 : cost 0 inf + 534 0.150 * * [simplify]: iteration 1 : 13 enodes (cost 162 ) 0.153 * * [simplify]: Extracting # 0 : cost 0 inf + 534 0.153 * * [simplify]: iteration 2 : 16 enodes (cost 162 ) 0.157 * * [simplify]: Extracting # 0 : cost 0 inf + 534 0.157 * * [simplify]: Extracting # 1 : cost 2 inf + 534 0.157 * * [simplify]: Extracting # 2 : cost 0 inf + 738 0.158 * * [simplify]: iteration 3 : 20 enodes (cost 162 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 inf + 738 0.162 * * [simplify]: Extracting # 1 : cost 3 inf + 738 0.162 * * [simplify]: Extracting # 2 : cost 0 inf + 1064 0.163 * * [simplify]: iteration 4 : 26 enodes (cost 162 ) 0.166 * * [simplify]: Extracting # 0 : cost 0 inf + 1064 0.166 * * [simplify]: Extracting # 1 : cost 1 inf + 942 0.166 * * [simplify]: Extracting # 2 : cost 0 inf + 1104 0.166 * * [simplify]: iteration 5 : 30 enodes (cost 162 ) 0.169 * * [simplify]: Extracting # 0 : cost 0 inf + 1104 0.170 * * [simplify]: iteration 6 : 32 enodes (cost 162 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 inf + 1104 0.173 * * [simplify]: iteration done: 32 enodes (cost 162 ) 0.173 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.175 * * [progress]: iteration 1 / 4 0.175 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.238 * * * [progress]: generating series expansions 0.238 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.245 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.246 * [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 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of f in n 0.247 * [backup-simplify]: Simplify f into f 0.247 * [taylor]: Taking taylor expansion of (- f n) in n 0.247 * [taylor]: Taking taylor expansion of f in n 0.247 * [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 0.250 * [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 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.250 * [taylor]: Taking taylor expansion of -1 in f 0.250 * [backup-simplify]: Simplify -1 into -1 0.250 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.250 * [taylor]: Taking taylor expansion of (+ n f) in f 0.250 * [taylor]: Taking taylor expansion of n in f 0.250 * [backup-simplify]: Simplify n into n 0.250 * [taylor]: Taking taylor expansion of f in f 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (- f n) in f 0.250 * [taylor]: Taking taylor expansion of f in f 0.250 * [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 0.252 * [backup-simplify]: Simplify (* -1 -1) into 1 0.252 * [taylor]: Taking taylor expansion of 1 in n 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.253 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.255 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.255 * [taylor]: Taking taylor expansion of 2 in n 0.255 * [backup-simplify]: Simplify 2 into 2 0.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.255 * [taylor]: Taking taylor expansion of n in n 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.260 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.260 * [taylor]: Taking taylor expansion of 2 in n 0.260 * [backup-simplify]: Simplify 2 into 2 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.260 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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)))) 0.271 * [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))) 0.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.271 * [taylor]: Taking taylor expansion of 2 in n 0.271 * [backup-simplify]: Simplify 2 into 2 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.271 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.282 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.282 * [taylor]: Taking taylor expansion of -1 in n 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.282 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.282 * [taylor]: Taking taylor expansion of f in n 0.282 * [backup-simplify]: Simplify f into f 0.282 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.282 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.283 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.283 * [taylor]: Taking taylor expansion of f in n 0.283 * [backup-simplify]: Simplify f into f 0.283 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.283 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.285 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.286 * [taylor]: Taking taylor expansion of -1 in f 0.286 * [backup-simplify]: Simplify -1 into -1 0.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.286 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.286 * [taylor]: Taking taylor expansion of f in f 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.287 * [taylor]: Taking taylor expansion of n in f 0.287 * [backup-simplify]: Simplify n into n 0.287 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.287 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.287 * [taylor]: Taking taylor expansion of f in f 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.288 * [taylor]: Taking taylor expansion of n in f 0.288 * [backup-simplify]: Simplify n into n 0.288 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.289 * [taylor]: Taking taylor expansion of -1 in f 0.289 * [backup-simplify]: Simplify -1 into -1 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.289 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.289 * [taylor]: Taking taylor expansion of f in f 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.290 * [taylor]: Taking taylor expansion of n in f 0.290 * [backup-simplify]: Simplify n into n 0.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.290 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.290 * [taylor]: Taking taylor expansion of f in f 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.290 * [taylor]: Taking taylor expansion of n in f 0.290 * [backup-simplify]: Simplify n into n 0.290 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (* -1 1) into -1 0.292 * [taylor]: Taking taylor expansion of -1 in n 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [backup-simplify]: Simplify -1 into -1 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.294 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.294 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.295 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.295 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.295 * [taylor]: Taking taylor expansion of 2 in n 0.295 * [backup-simplify]: Simplify 2 into 2 0.295 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.303 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.304 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.304 * [taylor]: Taking taylor expansion of 2 in n 0.304 * [backup-simplify]: Simplify 2 into 2 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.304 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [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))) 0.318 * [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)))) 0.318 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.318 * [taylor]: Taking taylor expansion of 2 in n 0.318 * [backup-simplify]: Simplify 2 into 2 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.318 * [taylor]: Taking taylor expansion of (pow n 3) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify -1 into -1 0.330 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.330 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.330 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.330 * [taylor]: Taking taylor expansion of f in n 0.330 * [backup-simplify]: Simplify f into f 0.330 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.330 * [taylor]: Taking taylor expansion of (/ 1 n) 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 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.331 * [taylor]: Taking taylor expansion of f in n 0.331 * [backup-simplify]: Simplify f into f 0.331 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.333 * [taylor]: Taking taylor expansion of f in f 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.333 * [taylor]: Taking taylor expansion of n in f 0.333 * [backup-simplify]: Simplify n into n 0.333 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.333 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.334 * [taylor]: Taking taylor expansion of n in f 0.334 * [backup-simplify]: Simplify n into n 0.334 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.334 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.334 * [taylor]: Taking taylor expansion of f in f 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.336 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.336 * [taylor]: Taking taylor expansion of f in f 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.336 * [taylor]: Taking taylor expansion of n in f 0.336 * [backup-simplify]: Simplify n into n 0.336 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.337 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.337 * [taylor]: Taking taylor expansion of n in f 0.337 * [backup-simplify]: Simplify n into n 0.337 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.337 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.337 * [taylor]: Taking taylor expansion of f in f 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (- 1) into -1 0.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.339 * [taylor]: Taking taylor expansion of -1 in n 0.339 * [backup-simplify]: Simplify -1 into -1 0.339 * [backup-simplify]: Simplify -1 into -1 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.341 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.341 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.341 * [taylor]: Taking taylor expansion of 2 in n 0.341 * [backup-simplify]: Simplify 2 into 2 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 2 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 0 into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.349 * [taylor]: Taking taylor expansion of 2 in n 0.349 * [backup-simplify]: Simplify 2 into 2 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.349 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [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)))) 0.358 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.358 * [taylor]: Taking taylor expansion of 2 in n 0.358 * [backup-simplify]: Simplify 2 into 2 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.358 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify -1 into -1 0.371 * * * [progress]: simplifying candidates 0.373 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.374 * * [simplify]: Extracting # 0 : cost 96 inf + 0 0.374 * * [simplify]: Extracting # 1 : cost 120 inf + 43 0.374 * * [simplify]: Extracting # 2 : cost 126 inf + 208 0.375 * * [simplify]: Extracting # 3 : cost 107 inf + 2588 0.376 * * [simplify]: Extracting # 4 : cost 49 inf + 13068 0.378 * * [simplify]: Extracting # 5 : cost 8 inf + 23497 0.380 * * [simplify]: Extracting # 6 : cost 0 inf + 26357 0.382 * * [simplify]: iteration 0 : 135 enodes (cost 32366 ) 0.419 * * [simplify]: Extracting # 0 : cost 0 inf + 26357 0.423 * * [simplify]: Extracting # 1 : cost 78 inf + 23383 0.427 * * [simplify]: Extracting # 2 : cost 3 inf + 37405 0.431 * * [simplify]: Extracting # 3 : cost 1 inf + 37498 0.435 * * [simplify]: Extracting # 4 : cost 0 inf + 37710 0.440 * * [simplify]: iteration 1 : 316 enodes (cost 30272 ) 0.514 * * [simplify]: Extracting # 0 : cost 0 inf + 37710 0.526 * * [simplify]: Extracting # 1 : cost 304 inf + 35542 0.550 * * [simplify]: Extracting # 2 : cost 3 inf + 93613 0.577 * * [simplify]: Extracting # 3 : cost 1 inf + 93786 0.609 * * [simplify]: Extracting # 4 : cost 0 inf + 93958 0.629 * * [simplify]: iteration 2 : 1069 enodes (cost 30192 ) 1.125 * * [simplify]: Extracting # 0 : cost 0 inf + 93958 1.194 * * [simplify]: Extracting # 1 : cost 1923 inf + 64178 1.279 * * [simplify]: Extracting # 2 : cost 42 inf + 396048 1.381 * * [simplify]: Extracting # 3 : cost 29 inf + 396935 1.479 * * [simplify]: Extracting # 4 : cost 3 inf + 401183 1.606 * * [simplify]: Extracting # 5 : cost 0 inf + 402023 1.695 * * [simplify]: iteration done: 5002 enodes (cost 29993 ) 1.696 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (- (* (* (/ (+ 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 (/ (+ n f) (- f n)) (* (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (cbrt (- (+ f n))) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (- (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ n f)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ n f)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ n f)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ n f) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ n f) (sqrt (- f n))) -1 (/ (+ n f) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ n f) (- f n)) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ n f) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ n f))) (/ (- 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)) (* (- f n) (fma f f (* n (- n f)))) (* (- f n) (- f n)) 1 -1 -1 1.702 * * * [progress]: adding candidates to table 2.069 * * [progress]: iteration 2 / 4 2.069 * * * [progress]: picking best candidate 2.082 * * * * [pick]: Picked # 2.082 * * * [progress]: localizing error 2.094 * * * [progress]: generating rewritten candidates 2.094 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.122 * * * [progress]: generating series expansions 2.122 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.122 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 2.123 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 2.123 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 2.123 * [taylor]: Taking taylor expansion of (+ n f) in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of f in n 2.123 * [backup-simplify]: Simplify f into f 2.123 * [taylor]: Taking taylor expansion of (- f n) in n 2.123 * [taylor]: Taking taylor expansion of f in n 2.123 * [backup-simplify]: Simplify f into f 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (+ 0 f) into f 2.124 * [backup-simplify]: Simplify (- 0) into 0 2.124 * [backup-simplify]: Simplify (+ f 0) into f 2.124 * [backup-simplify]: Simplify (/ f f) into 1 2.124 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.124 * [taylor]: Taking taylor expansion of (+ n f) in f 2.124 * [taylor]: Taking taylor expansion of n in f 2.124 * [backup-simplify]: Simplify n into n 2.124 * [taylor]: Taking taylor expansion of f in f 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of (- f n) in f 2.124 * [taylor]: Taking taylor expansion of f in f 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of n in f 2.124 * [backup-simplify]: Simplify n into n 2.124 * [backup-simplify]: Simplify (+ n 0) into n 2.124 * [backup-simplify]: Simplify (- n) into (- n) 2.124 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.124 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.124 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 2.124 * [taylor]: Taking taylor expansion of (+ n f) in f 2.124 * [taylor]: Taking taylor expansion of n in f 2.125 * [backup-simplify]: Simplify n into n 2.125 * [taylor]: Taking taylor expansion of f in f 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [taylor]: Taking taylor expansion of (- f n) in f 2.125 * [taylor]: Taking taylor expansion of f in f 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [taylor]: Taking taylor expansion of n in f 2.125 * [backup-simplify]: Simplify n into n 2.125 * [backup-simplify]: Simplify (+ n 0) into n 2.125 * [backup-simplify]: Simplify (- n) into (- n) 2.125 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 2.125 * [backup-simplify]: Simplify (/ n (- n)) into -1 2.125 * [taylor]: Taking taylor expansion of -1 in n 2.125 * [backup-simplify]: Simplify -1 into -1 2.125 * [backup-simplify]: Simplify -1 into -1 2.126 * [backup-simplify]: Simplify (+ 0 1) into 1 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 1 0) into 1 2.127 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 2.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 2.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.127 * [taylor]: Taking taylor expansion of 2 in n 2.127 * [backup-simplify]: Simplify 2 into 2 2.127 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.127 * [taylor]: Taking taylor expansion of n in n 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 2.131 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 2.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.131 * [taylor]: Taking taylor expansion of 2 in n 2.131 * [backup-simplify]: Simplify 2 into 2 2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.131 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.131 * [taylor]: Taking taylor expansion of n in n 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* 1 1) into 1 2.132 * [backup-simplify]: Simplify (/ 1 1) into 1 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.140 * [backup-simplify]: Simplify (- 0) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.141 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [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)))) 2.142 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 2.142 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.142 * [taylor]: Taking taylor expansion of 2 in n 2.142 * [backup-simplify]: Simplify 2 into 2 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.142 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.142 * [taylor]: Taking taylor expansion of n in n 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify -1 into -1 2.154 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 2.154 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 2.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.154 * [taylor]: Taking taylor expansion of f in n 2.154 * [backup-simplify]: Simplify f into f 2.154 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.154 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.154 * [taylor]: Taking taylor expansion of n in n 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 2.155 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.155 * [taylor]: Taking taylor expansion of f in n 2.155 * [backup-simplify]: Simplify f into f 2.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.155 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.155 * [taylor]: Taking taylor expansion of n in n 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [backup-simplify]: Simplify (+ 0 1) into 1 2.156 * [backup-simplify]: Simplify (- 1) into -1 2.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.157 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.157 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.157 * [taylor]: Taking taylor expansion of f in f 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.158 * [taylor]: Taking taylor expansion of n in f 2.158 * [backup-simplify]: Simplify n into n 2.158 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.158 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.158 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.158 * [taylor]: Taking taylor expansion of f in f 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.158 * [taylor]: Taking taylor expansion of n in f 2.158 * [backup-simplify]: Simplify n into n 2.159 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.159 * [backup-simplify]: Simplify (+ 1 0) into 1 2.159 * [backup-simplify]: Simplify (+ 1 0) into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 2.160 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.160 * [taylor]: Taking taylor expansion of f in f 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.160 * [taylor]: Taking taylor expansion of n in f 2.160 * [backup-simplify]: Simplify n into n 2.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.160 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 2.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.161 * [taylor]: Taking taylor expansion of f in f 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.161 * [taylor]: Taking taylor expansion of n in f 2.161 * [backup-simplify]: Simplify n into n 2.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.161 * [backup-simplify]: Simplify (+ 1 0) into 1 2.162 * [backup-simplify]: Simplify (+ 1 0) into 1 2.162 * [backup-simplify]: Simplify (/ 1 1) into 1 2.162 * [taylor]: Taking taylor expansion of 1 in n 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.164 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 2.164 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 2.164 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 2.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.164 * [taylor]: Taking taylor expansion of 2 in n 2.164 * [backup-simplify]: Simplify 2 into 2 2.165 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.169 * [backup-simplify]: Simplify (- 0) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 2.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.171 * [taylor]: Taking taylor expansion of 2 in n 2.171 * [backup-simplify]: Simplify 2 into 2 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.171 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.171 * [taylor]: Taking taylor expansion of n in n 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 2.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.183 * [taylor]: Taking taylor expansion of 2 in n 2.183 * [backup-simplify]: Simplify 2 into 2 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.183 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.183 * [taylor]: Taking taylor expansion of n in n 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (* 1 1) into 1 2.184 * [backup-simplify]: Simplify (* 1 1) into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 2.193 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 2.193 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 2.194 * [taylor]: Taking taylor expansion of -1 in n 2.194 * [backup-simplify]: Simplify -1 into -1 2.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 2.194 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.194 * [taylor]: Taking taylor expansion of f in n 2.194 * [backup-simplify]: Simplify f into f 2.194 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.194 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.194 * [taylor]: Taking taylor expansion of n in n 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 2.194 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.194 * [taylor]: Taking taylor expansion of n in n 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (/ 1 1) into 1 2.195 * [taylor]: Taking taylor expansion of (/ 1 f) in n 2.195 * [taylor]: Taking taylor expansion of f in n 2.195 * [backup-simplify]: Simplify f into f 2.195 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 2.195 * [backup-simplify]: Simplify (+ 0 1) into 1 2.196 * [backup-simplify]: Simplify (+ 1 0) into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.196 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.196 * [taylor]: Taking taylor expansion of -1 in f 2.196 * [backup-simplify]: Simplify -1 into -1 2.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.196 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.196 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.196 * [taylor]: Taking taylor expansion of f in f 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (/ 1 1) into 1 2.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.197 * [taylor]: Taking taylor expansion of n in f 2.197 * [backup-simplify]: Simplify n into n 2.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.197 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.197 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.197 * [taylor]: Taking taylor expansion of n in f 2.197 * [backup-simplify]: Simplify n into n 2.197 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.197 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.197 * [taylor]: Taking taylor expansion of f in f 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [backup-simplify]: Simplify (+ 1 0) into 1 2.198 * [backup-simplify]: Simplify (- 1) into -1 2.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.199 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.199 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 2.199 * [taylor]: Taking taylor expansion of -1 in f 2.199 * [backup-simplify]: Simplify -1 into -1 2.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 2.199 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.199 * [taylor]: Taking taylor expansion of f in f 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (/ 1 1) into 1 2.200 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.200 * [taylor]: Taking taylor expansion of n in f 2.200 * [backup-simplify]: Simplify n into n 2.200 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.200 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 2.200 * [taylor]: Taking taylor expansion of (/ 1 n) in f 2.200 * [taylor]: Taking taylor expansion of n in f 2.200 * [backup-simplify]: Simplify n into n 2.200 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.200 * [taylor]: Taking taylor expansion of (/ 1 f) in f 2.200 * [taylor]: Taking taylor expansion of f in f 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (/ 1 1) into 1 2.201 * [backup-simplify]: Simplify (+ 1 0) into 1 2.201 * [backup-simplify]: Simplify (- 1) into -1 2.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.202 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.203 * [backup-simplify]: Simplify (* -1 -1) into 1 2.203 * [taylor]: Taking taylor expansion of 1 in n 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.205 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 2.205 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 2.205 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 2.205 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 2.205 * [taylor]: Taking taylor expansion of 2 in n 2.205 * [backup-simplify]: Simplify 2 into 2 2.205 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.209 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 2.213 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 2.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 2.213 * [taylor]: Taking taylor expansion of 2 in n 2.213 * [backup-simplify]: Simplify 2 into 2 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 2.213 * [taylor]: Taking taylor expansion of (pow n 2) in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (/ 1 1) into 1 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 2.223 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 2.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 2.223 * [taylor]: Taking taylor expansion of 2 in n 2.223 * [backup-simplify]: Simplify 2 into 2 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 2.223 * [taylor]: Taking taylor expansion of (pow n 3) in n 2.223 * [taylor]: Taking taylor expansion of n in n 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (* 1 1) into 1 2.223 * [backup-simplify]: Simplify (* 1 1) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * * * [progress]: simplifying candidates 2.229 * [simplify]: Simplifying: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (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) (* (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) (- (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 2.230 * * [simplify]: Extracting # 0 : cost 48 inf + 0 2.230 * * [simplify]: Extracting # 1 : cost 63 inf + 43 2.230 * * [simplify]: Extracting # 2 : cost 73 inf + 43 2.230 * * [simplify]: Extracting # 3 : cost 72 inf + 86 2.231 * * [simplify]: Extracting # 4 : cost 33 inf + 5983 2.231 * * [simplify]: Extracting # 5 : cost 6 inf + 11062 2.232 * * [simplify]: Extracting # 6 : cost 0 inf + 12715 2.233 * * [simplify]: iteration 0 : 78 enodes (cost 12489 ) 2.255 * * [simplify]: Extracting # 0 : cost 0 inf + 12715 2.258 * * [simplify]: Extracting # 1 : cost 44 inf + 11129 2.262 * * [simplify]: Extracting # 2 : cost 3 inf + 17280 2.266 * * [simplify]: Extracting # 3 : cost 2 inf + 17081 2.270 * * [simplify]: Extracting # 4 : cost 0 inf + 17505 2.274 * * [simplify]: iteration 1 : 180 enodes (cost 11647 ) 2.310 * * [simplify]: Extracting # 0 : cost 0 inf + 17505 2.316 * * [simplify]: Extracting # 1 : cost 162 inf + 16870 2.328 * * [simplify]: Extracting # 2 : cost 3 inf + 41494 2.337 * * [simplify]: Extracting # 3 : cost 0 inf + 41759 2.345 * * [simplify]: Extracting # 4 : cost 0 inf + 41719 2.351 * * [simplify]: iteration 2 : 588 enodes (cost 11527 ) 2.849 * * [simplify]: Extracting # 0 : cost 0 inf + 41719 2.888 * * [simplify]: Extracting # 1 : cost 931 inf + 26283 2.914 * * [simplify]: Extracting # 2 : cost 3 inf + 158205 2.952 * * [simplify]: Extracting # 3 : cost 2 inf + 158166 2.995 * * [simplify]: Extracting # 4 : cost 0 inf + 158590 3.055 * * [simplify]: iteration 3 : 3172 enodes (cost 11408 ) 4.264 * * [simplify]: Extracting # 0 : cost 0 inf + 158590 4.397 * * [simplify]: Extracting # 1 : cost 298 inf + 150274 4.475 * * [simplify]: Extracting # 2 : cost 0 inf + 201853 4.533 * * [simplify]: iteration done: 5000 enodes (cost 11408 ) 4.533 * [simplify]: Simplified to: (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (* (* (/ (+ 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)) (- n f) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) 1 (/ (+ f n) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) 1 (/ (+ f n) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) 1 (/ (+ f n) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) 1 (/ (+ f n) (- f n)) (/ 1 (- f n)) (/ (- f n) (+ f n)) (/ (+ f n) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (sqrt (- f n))) (+ f n) (/ (+ f n) (+ (sqrt f) (sqrt n))) (+ f n) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (+ f n) (- (* (* f f) f) (* (* n n) n))) (/ 1 (- f n)) (* (- f n) (fma f f (* n (- n f)))) (* (- f n) (- f n)) -1 1 1 4.535 * * * [progress]: adding candidates to table 4.768 * * [progress]: iteration 3 / 4 4.768 * * * [progress]: picking best candidate 4.779 * * * * [pick]: Picked # 4.779 * * * [progress]: localizing error 4.805 * * * [progress]: generating rewritten candidates 4.805 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 4.806 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 1) 4.844 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 4.846 * * * [progress]: generating series expansions 4.846 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 4.846 * [backup-simplify]: Simplify (expm1 (/ (+ f n) (- f n))) into (expm1 (/ (+ n f) (- f n))) 4.846 * [approximate]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in (f n) around 0 4.846 * [taylor]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in n 4.847 * [taylor]: Rewrote expression to (- (exp (/ (+ n f) (- f n))) 1) 4.847 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 4.847 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.847 * [taylor]: Taking taylor expansion of (+ n f) in n 4.847 * [taylor]: Taking taylor expansion of n in n 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of f in n 4.848 * [backup-simplify]: Simplify f into f 4.848 * [taylor]: Taking taylor expansion of (- f n) in n 4.848 * [taylor]: Taking taylor expansion of f in n 4.848 * [backup-simplify]: Simplify f into f 4.848 * [taylor]: Taking taylor expansion of n in n 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (+ 0 f) into f 4.848 * [backup-simplify]: Simplify (- 0) into 0 4.848 * [backup-simplify]: Simplify (+ f 0) into f 4.848 * [backup-simplify]: Simplify (/ f f) into 1 4.848 * [backup-simplify]: Simplify (exp 1) into E 4.848 * [taylor]: Taking taylor expansion of 1 in n 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [taylor]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in f 4.848 * [taylor]: Rewrote expression to (- (exp (/ (+ n f) (- f n))) 1) 4.848 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 4.848 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.848 * [taylor]: Taking taylor expansion of (+ n f) in f 4.848 * [taylor]: Taking taylor expansion of n in f 4.849 * [backup-simplify]: Simplify n into n 4.849 * [taylor]: Taking taylor expansion of f in f 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of (- f n) in f 4.849 * [taylor]: Taking taylor expansion of f in f 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of n in f 4.849 * [backup-simplify]: Simplify n into n 4.849 * [backup-simplify]: Simplify (+ n 0) into n 4.849 * [backup-simplify]: Simplify (- n) into (- n) 4.849 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.849 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.849 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.849 * [taylor]: Taking taylor expansion of 1 in f 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in f 4.849 * [taylor]: Rewrote expression to (- (exp (/ (+ n f) (- f n))) 1) 4.849 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 4.849 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.849 * [taylor]: Taking taylor expansion of (+ n f) in f 4.849 * [taylor]: Taking taylor expansion of n in f 4.849 * [backup-simplify]: Simplify n into n 4.849 * [taylor]: Taking taylor expansion of f in f 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of (- f n) in f 4.849 * [taylor]: Taking taylor expansion of f in f 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of n in f 4.849 * [backup-simplify]: Simplify n into n 4.849 * [backup-simplify]: Simplify (+ n 0) into n 4.849 * [backup-simplify]: Simplify (- n) into (- n) 4.849 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.849 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.850 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.850 * [taylor]: Taking taylor expansion of 1 in f 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (- 1) into -1 4.851 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.851 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 4.851 * [taylor]: Taking taylor expansion of (exp -1) in n 4.852 * [taylor]: Taking taylor expansion of -1 in n 4.852 * [backup-simplify]: Simplify -1 into -1 4.852 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.852 * [taylor]: Taking taylor expansion of 1 in n 4.852 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (- 1) into -1 4.853 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.854 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 4.855 * [backup-simplify]: Simplify (+ 0 1) into 1 4.855 * [backup-simplify]: Simplify (- 0) into 0 4.856 * [backup-simplify]: Simplify (+ 1 0) into 1 4.856 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.857 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.857 * [backup-simplify]: Simplify (- 0) into 0 4.858 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 4.858 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 4.858 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 4.858 * [taylor]: Taking taylor expansion of 2 in n 4.858 * [backup-simplify]: Simplify 2 into 2 4.858 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.858 * [taylor]: Taking taylor expansion of (exp -1) in n 4.858 * [taylor]: Taking taylor expansion of -1 in n 4.858 * [backup-simplify]: Simplify -1 into -1 4.858 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.858 * [taylor]: Taking taylor expansion of n in n 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 1 into 1 4.859 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.860 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 4.862 * [backup-simplify]: Simplify (- 0) into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.864 * [backup-simplify]: Simplify (- 0) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify (+ 0 0) into 0 4.865 * [backup-simplify]: Simplify (- 0) into 0 4.865 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.867 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.867 * [backup-simplify]: Simplify (- 0) into 0 4.868 * [backup-simplify]: Simplify (+ 0 0) into 0 4.868 * [taylor]: Taking taylor expansion of 0 in n 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.872 * [backup-simplify]: Simplify (- 0) into 0 4.872 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.874 * [backup-simplify]: Simplify (- 0) into 0 4.874 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (+ 0 0) into 0 4.875 * [backup-simplify]: Simplify (- 0) into 0 4.876 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.878 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.878 * [backup-simplify]: Simplify (- 0) into 0 4.879 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 4.879 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.879 * [taylor]: Taking taylor expansion of 2/3 in n 4.879 * [backup-simplify]: Simplify 2/3 into 2/3 4.879 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.879 * [taylor]: Taking taylor expansion of (exp -1) in n 4.879 * [taylor]: Taking taylor expansion of -1 in n 4.879 * [backup-simplify]: Simplify -1 into -1 4.879 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.879 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.879 * [taylor]: Taking taylor expansion of n in n 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.880 * [backup-simplify]: Simplify (* 1 1) into 1 4.880 * [backup-simplify]: Simplify (* 1 1) into 1 4.881 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.883 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.892 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 4.897 * [backup-simplify]: Simplify (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.897 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.897 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.897 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1) 4.897 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.897 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.897 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.897 * [taylor]: Taking taylor expansion of f in n 4.897 * [backup-simplify]: Simplify f into f 4.897 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.897 * [taylor]: Taking taylor expansion of n in n 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.898 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.898 * [taylor]: Taking taylor expansion of f in n 4.898 * [backup-simplify]: Simplify f into f 4.898 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.898 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.898 * [taylor]: Taking taylor expansion of n in n 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [backup-simplify]: Simplify (+ 0 1) into 1 4.899 * [backup-simplify]: Simplify (- 1) into -1 4.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.900 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.900 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.900 * [taylor]: Taking taylor expansion of 1 in n 4.900 * [backup-simplify]: Simplify 1 into 1 4.900 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.901 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1) 4.901 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.901 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.901 * [taylor]: Taking taylor expansion of f in f 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (/ 1 1) into 1 4.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.901 * [taylor]: Taking taylor expansion of n in f 4.902 * [backup-simplify]: Simplify n into n 4.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.902 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.902 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.902 * [taylor]: Taking taylor expansion of f in f 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.902 * [taylor]: Taking taylor expansion of n in f 4.902 * [backup-simplify]: Simplify n into n 4.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.903 * [backup-simplify]: Simplify (+ 1 0) into 1 4.903 * [backup-simplify]: Simplify (+ 1 0) into 1 4.903 * [backup-simplify]: Simplify (/ 1 1) into 1 4.903 * [backup-simplify]: Simplify (exp 1) into E 4.904 * [taylor]: Taking taylor expansion of 1 in f 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.904 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1) 4.904 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.904 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.904 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.904 * [taylor]: Taking taylor expansion of f in f 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.904 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.904 * [taylor]: Taking taylor expansion of n in f 4.904 * [backup-simplify]: Simplify n into n 4.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.904 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.904 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.904 * [taylor]: Taking taylor expansion of f in f 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.905 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.905 * [taylor]: Taking taylor expansion of n in f 4.905 * [backup-simplify]: Simplify n into n 4.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.905 * [backup-simplify]: Simplify (+ 1 0) into 1 4.906 * [backup-simplify]: Simplify (+ 1 0) into 1 4.906 * [backup-simplify]: Simplify (/ 1 1) into 1 4.906 * [backup-simplify]: Simplify (exp 1) into E 4.906 * [taylor]: Taking taylor expansion of 1 in f 4.906 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (- 1) into -1 4.907 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.907 * [taylor]: Taking taylor expansion of (- E 1) in n 4.907 * [taylor]: Taking taylor expansion of E in n 4.907 * [backup-simplify]: Simplify E into E 4.907 * [taylor]: Taking taylor expansion of 1 in n 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (- 1) into -1 4.908 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.909 * [backup-simplify]: Simplify (- E 1) into (- E 1) 4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.910 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.911 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.911 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 4.911 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 4.911 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 4.911 * [taylor]: Taking taylor expansion of 2 in n 4.912 * [backup-simplify]: Simplify 2 into 2 4.912 * [taylor]: Taking taylor expansion of (/ E n) in n 4.912 * [taylor]: Taking taylor expansion of E in n 4.912 * [backup-simplify]: Simplify E into E 4.912 * [taylor]: Taking taylor expansion of n in n 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (/ E 1) into E 4.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (- 0) into 0 4.915 * [backup-simplify]: Simplify (+ 0 0) into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.916 * [backup-simplify]: Simplify (+ 0 0) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.918 * [backup-simplify]: Simplify (- 0) into 0 4.918 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.920 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 4.920 * [backup-simplify]: Simplify (- 0) into 0 4.920 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 4.920 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 4.920 * [taylor]: Taking taylor expansion of 4 in n 4.920 * [backup-simplify]: Simplify 4 into 4 4.920 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 4.920 * [taylor]: Taking taylor expansion of E in n 4.920 * [backup-simplify]: Simplify E into E 4.920 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.920 * [taylor]: Taking taylor expansion of n in n 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (* 1 1) into 1 4.921 * [backup-simplify]: Simplify (/ E 1) into E 4.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (- 0) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.930 * [backup-simplify]: Simplify (+ 0 0) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.932 * [backup-simplify]: Simplify (- 0) into 0 4.932 * [backup-simplify]: Simplify (+ 0 0) into 0 4.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 4.935 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 4.935 * [backup-simplify]: Simplify (- 0) into 0 4.935 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 4.936 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 4.936 * [taylor]: Taking taylor expansion of 22/3 in n 4.936 * [backup-simplify]: Simplify 22/3 into 22/3 4.936 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 4.936 * [taylor]: Taking taylor expansion of E in n 4.936 * [backup-simplify]: Simplify E into E 4.936 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.936 * [taylor]: Taking taylor expansion of n in n 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (* 1 1) into 1 4.936 * [backup-simplify]: Simplify (* 1 1) into 1 4.937 * [backup-simplify]: Simplify (/ E 1) into E 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify (- E 1) into (- E 1) 4.953 * [backup-simplify]: Simplify (expm1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 4.953 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 4.953 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 4.953 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 4.953 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 4.953 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.953 * [taylor]: Taking taylor expansion of -1 in n 4.953 * [backup-simplify]: Simplify -1 into -1 4.953 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.953 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.953 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.954 * [taylor]: Taking taylor expansion of f in n 4.954 * [backup-simplify]: Simplify f into f 4.954 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.954 * [taylor]: Taking taylor expansion of n in n 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.954 * [taylor]: Taking taylor expansion of n in n 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (/ 1 1) into 1 4.955 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.955 * [taylor]: Taking taylor expansion of f in n 4.955 * [backup-simplify]: Simplify f into f 4.955 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.955 * [backup-simplify]: Simplify (+ 0 1) into 1 4.956 * [backup-simplify]: Simplify (+ 1 0) into 1 4.956 * [backup-simplify]: Simplify (/ 1 1) into 1 4.956 * [backup-simplify]: Simplify (* -1 1) into -1 4.957 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.957 * [taylor]: Taking taylor expansion of 1 in n 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.957 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 4.957 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.957 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.957 * [taylor]: Taking taylor expansion of -1 in f 4.957 * [backup-simplify]: Simplify -1 into -1 4.957 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.957 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.957 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.957 * [taylor]: Taking taylor expansion of f in f 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.958 * [taylor]: Taking taylor expansion of n in f 4.958 * [backup-simplify]: Simplify n into n 4.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.958 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.958 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.958 * [taylor]: Taking taylor expansion of n in f 4.958 * [backup-simplify]: Simplify n into n 4.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.958 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.958 * [taylor]: Taking taylor expansion of f in f 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (/ 1 1) into 1 4.959 * [backup-simplify]: Simplify (+ 1 0) into 1 4.959 * [backup-simplify]: Simplify (- 1) into -1 4.959 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.960 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.960 * [backup-simplify]: Simplify (* -1 -1) into 1 4.960 * [backup-simplify]: Simplify (exp 1) into E 4.960 * [taylor]: Taking taylor expansion of 1 in f 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.960 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 4.960 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 4.961 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.961 * [taylor]: Taking taylor expansion of -1 in f 4.961 * [backup-simplify]: Simplify -1 into -1 4.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.961 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.961 * [taylor]: Taking taylor expansion of f in f 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [backup-simplify]: Simplify (/ 1 1) into 1 4.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.961 * [taylor]: Taking taylor expansion of n in f 4.961 * [backup-simplify]: Simplify n into n 4.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.961 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.961 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.961 * [taylor]: Taking taylor expansion of n in f 4.961 * [backup-simplify]: Simplify n into n 4.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.961 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.961 * [taylor]: Taking taylor expansion of f in f 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [backup-simplify]: Simplify (+ 1 0) into 1 4.963 * [backup-simplify]: Simplify (- 1) into -1 4.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.963 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.964 * [backup-simplify]: Simplify (* -1 -1) into 1 4.964 * [backup-simplify]: Simplify (exp 1) into E 4.964 * [taylor]: Taking taylor expansion of 1 in f 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (- 1) into -1 4.965 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.965 * [taylor]: Taking taylor expansion of (- E 1) in n 4.965 * [taylor]: Taking taylor expansion of E in n 4.965 * [backup-simplify]: Simplify E into E 4.965 * [taylor]: Taking taylor expansion of 1 in n 4.965 * [backup-simplify]: Simplify 1 into 1 4.965 * [backup-simplify]: Simplify (- 1) into -1 4.966 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.966 * [backup-simplify]: Simplify (- E 1) into (- E 1) 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (- 0) into 0 4.968 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.968 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.969 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.969 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 4.969 * [backup-simplify]: Simplify (- 0) into 0 4.970 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 4.970 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 4.970 * [taylor]: Taking taylor expansion of 2 in n 4.970 * [backup-simplify]: Simplify 2 into 2 4.970 * [taylor]: Taking taylor expansion of (/ E n) in n 4.970 * [taylor]: Taking taylor expansion of E in n 4.970 * [backup-simplify]: Simplify E into E 4.970 * [taylor]: Taking taylor expansion of n in n 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify 1 into 1 4.970 * [backup-simplify]: Simplify (/ E 1) into E 4.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify (- 0) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.974 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (- 0) into 0 4.976 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.978 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.978 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 4.979 * [backup-simplify]: Simplify (- 0) into 0 4.979 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 4.979 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 4.979 * [taylor]: Taking taylor expansion of 4 in n 4.979 * [backup-simplify]: Simplify 4 into 4 4.979 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 4.979 * [taylor]: Taking taylor expansion of E in n 4.979 * [backup-simplify]: Simplify E into E 4.979 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.979 * [taylor]: Taking taylor expansion of n in n 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (* 1 1) into 1 4.980 * [backup-simplify]: Simplify (/ E 1) into E 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 4.984 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify (- 0) into 0 4.987 * [backup-simplify]: Simplify (+ 0 0) into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (- 0) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.992 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.993 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.994 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 4.995 * [backup-simplify]: Simplify (- 0) into 0 4.995 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 4.995 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 4.995 * [taylor]: Taking taylor expansion of 22/3 in n 4.995 * [backup-simplify]: Simplify 22/3 into 22/3 4.995 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 4.995 * [taylor]: Taking taylor expansion of E in n 4.995 * [backup-simplify]: Simplify E into E 4.995 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.995 * [taylor]: Taking taylor expansion of n in n 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (* 1 1) into 1 4.996 * [backup-simplify]: Simplify (* 1 1) into 1 4.996 * [backup-simplify]: Simplify (/ E 1) into E 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (- E 1) into (- E 1) 5.007 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 1) 5.007 * [backup-simplify]: Simplify (/ (+ f n) (- f n)) into (/ (+ n f) (- f n)) 5.007 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 5.007 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.007 * [taylor]: Taking taylor expansion of (+ n f) in n 5.007 * [taylor]: Taking taylor expansion of n in n 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [taylor]: Taking taylor expansion of f in n 5.007 * [backup-simplify]: Simplify f into f 5.007 * [taylor]: Taking taylor expansion of (- f n) in n 5.007 * [taylor]: Taking taylor expansion of f in n 5.007 * [backup-simplify]: Simplify f into f 5.007 * [taylor]: Taking taylor expansion of n in n 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 1 into 1 5.007 * [backup-simplify]: Simplify (+ 0 f) into f 5.008 * [backup-simplify]: Simplify (- 0) into 0 5.008 * [backup-simplify]: Simplify (+ f 0) into f 5.008 * [backup-simplify]: Simplify (/ f f) into 1 5.008 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.008 * [taylor]: Taking taylor expansion of (+ n f) in f 5.008 * [taylor]: Taking taylor expansion of n in f 5.008 * [backup-simplify]: Simplify n into n 5.008 * [taylor]: Taking taylor expansion of f in f 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of (- f n) in f 5.008 * [taylor]: Taking taylor expansion of f in f 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of n in f 5.008 * [backup-simplify]: Simplify n into n 5.008 * [backup-simplify]: Simplify (+ n 0) into n 5.008 * [backup-simplify]: Simplify (- n) into (- n) 5.008 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.008 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.008 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.008 * [taylor]: Taking taylor expansion of (+ n f) in f 5.008 * [taylor]: Taking taylor expansion of n in f 5.008 * [backup-simplify]: Simplify n into n 5.008 * [taylor]: Taking taylor expansion of f in f 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of (- f n) in f 5.009 * [taylor]: Taking taylor expansion of f in f 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [taylor]: Taking taylor expansion of n in f 5.009 * [backup-simplify]: Simplify n into n 5.009 * [backup-simplify]: Simplify (+ n 0) into n 5.009 * [backup-simplify]: Simplify (- n) into (- n) 5.009 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.009 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.009 * [taylor]: Taking taylor expansion of -1 in n 5.009 * [backup-simplify]: Simplify -1 into -1 5.009 * [backup-simplify]: Simplify -1 into -1 5.009 * [backup-simplify]: Simplify (+ 0 1) into 1 5.010 * [backup-simplify]: Simplify (- 0) into 0 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.010 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.010 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.010 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.011 * [taylor]: Taking taylor expansion of 2 in n 5.011 * [backup-simplify]: Simplify 2 into 2 5.011 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.011 * [taylor]: Taking taylor expansion of n in n 5.011 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify 1 into 1 5.011 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.013 * [backup-simplify]: Simplify (- 0) into 0 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (- 0) into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.014 * [taylor]: Taking taylor expansion of 2 in n 5.015 * [backup-simplify]: Simplify 2 into 2 5.015 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.015 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.015 * [taylor]: Taking taylor expansion of n in n 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 1 into 1 5.015 * [backup-simplify]: Simplify (* 1 1) into 1 5.015 * [backup-simplify]: Simplify (/ 1 1) into 1 5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.020 * [backup-simplify]: Simplify (- 0) into 0 5.020 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.022 * [backup-simplify]: Simplify (- 0) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (+ 0 0) into 0 5.023 * [backup-simplify]: Simplify (- 0) into 0 5.023 * [backup-simplify]: Simplify (+ 0 0) into 0 5.024 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.024 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.024 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.024 * [taylor]: Taking taylor expansion of 2 in n 5.024 * [backup-simplify]: Simplify 2 into 2 5.024 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.024 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.024 * [taylor]: Taking taylor expansion of n in n 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 1 into 1 5.025 * [backup-simplify]: Simplify (* 1 1) into 1 5.025 * [backup-simplify]: Simplify (* 1 1) into 1 5.025 * [backup-simplify]: Simplify (/ 1 1) into 1 5.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.034 * [backup-simplify]: Simplify (- 0) into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify -1 into -1 5.034 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 5.034 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 5.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.035 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.035 * [taylor]: Taking taylor expansion of f in n 5.035 * [backup-simplify]: Simplify f into f 5.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.035 * [taylor]: Taking taylor expansion of n in n 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ 1 1) into 1 5.035 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.035 * [taylor]: Taking taylor expansion of f in n 5.035 * [backup-simplify]: Simplify f into f 5.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.035 * [taylor]: Taking taylor expansion of n in n 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ 1 1) into 1 5.036 * [backup-simplify]: Simplify (+ 0 1) into 1 5.036 * [backup-simplify]: Simplify (- 1) into -1 5.036 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.036 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.036 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.036 * [taylor]: Taking taylor expansion of f in f 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.037 * [backup-simplify]: Simplify (/ 1 1) into 1 5.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.037 * [taylor]: Taking taylor expansion of n in f 5.037 * [backup-simplify]: Simplify n into n 5.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.037 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.037 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.037 * [taylor]: Taking taylor expansion of f in f 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [backup-simplify]: Simplify (/ 1 1) into 1 5.037 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.037 * [taylor]: Taking taylor expansion of n in f 5.037 * [backup-simplify]: Simplify n into n 5.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.037 * [backup-simplify]: Simplify (+ 1 0) into 1 5.038 * [backup-simplify]: Simplify (+ 1 0) into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.038 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.038 * [taylor]: Taking taylor expansion of f in f 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.038 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.038 * [taylor]: Taking taylor expansion of n in f 5.038 * [backup-simplify]: Simplify n into n 5.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.038 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.038 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.038 * [taylor]: Taking taylor expansion of f in f 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify (/ 1 1) into 1 5.039 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.039 * [taylor]: Taking taylor expansion of n in f 5.039 * [backup-simplify]: Simplify n into n 5.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.039 * [backup-simplify]: Simplify (+ 1 0) into 1 5.039 * [backup-simplify]: Simplify (+ 1 0) into 1 5.039 * [backup-simplify]: Simplify (/ 1 1) into 1 5.040 * [taylor]: Taking taylor expansion of 1 in n 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.040 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.041 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.041 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.041 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.041 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.041 * [taylor]: Taking taylor expansion of 2 in n 5.041 * [backup-simplify]: Simplify 2 into 2 5.041 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.041 * [taylor]: Taking taylor expansion of n in n 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [backup-simplify]: Simplify (/ 1 1) into 1 5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.043 * [backup-simplify]: Simplify (+ 0 0) into 0 5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.044 * [backup-simplify]: Simplify (- 0) into 0 5.044 * [backup-simplify]: Simplify (+ 0 0) into 0 5.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.045 * [taylor]: Taking taylor expansion of 2 in n 5.045 * [backup-simplify]: Simplify 2 into 2 5.045 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.045 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.045 * [taylor]: Taking taylor expansion of n in n 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify (* 1 1) into 1 5.045 * [backup-simplify]: Simplify (/ 1 1) into 1 5.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.050 * [backup-simplify]: Simplify (- 0) into 0 5.051 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.052 * [taylor]: Taking taylor expansion of 2 in n 5.052 * [backup-simplify]: Simplify 2 into 2 5.052 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.052 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.052 * [taylor]: Taking taylor expansion of n in n 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (* 1 1) into 1 5.052 * [backup-simplify]: Simplify (* 1 1) into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 5.058 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.058 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 5.058 * [taylor]: Taking taylor expansion of -1 in n 5.058 * [backup-simplify]: Simplify -1 into -1 5.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.058 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.058 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.058 * [taylor]: Taking taylor expansion of f in n 5.058 * [backup-simplify]: Simplify f into f 5.058 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.058 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.058 * [taylor]: Taking taylor expansion of n in n 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (/ 1 1) into 1 5.058 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.058 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.058 * [taylor]: Taking taylor expansion of n in n 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [backup-simplify]: Simplify (/ 1 1) into 1 5.058 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.058 * [taylor]: Taking taylor expansion of f in n 5.058 * [backup-simplify]: Simplify f into f 5.059 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.059 * [backup-simplify]: Simplify (+ 0 1) into 1 5.059 * [backup-simplify]: Simplify (+ 1 0) into 1 5.059 * [backup-simplify]: Simplify (/ 1 1) into 1 5.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.059 * [taylor]: Taking taylor expansion of -1 in f 5.059 * [backup-simplify]: Simplify -1 into -1 5.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.059 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.059 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.059 * [taylor]: Taking taylor expansion of f in f 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.060 * [taylor]: Taking taylor expansion of n in f 5.060 * [backup-simplify]: Simplify n into n 5.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.060 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.060 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.060 * [taylor]: Taking taylor expansion of n in f 5.060 * [backup-simplify]: Simplify n into n 5.060 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.060 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.060 * [taylor]: Taking taylor expansion of f in f 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (/ 1 1) into 1 5.060 * [backup-simplify]: Simplify (+ 1 0) into 1 5.061 * [backup-simplify]: Simplify (- 1) into -1 5.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.061 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.061 * [taylor]: Taking taylor expansion of -1 in f 5.061 * [backup-simplify]: Simplify -1 into -1 5.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.061 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.061 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.061 * [taylor]: Taking taylor expansion of f in f 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.062 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.062 * [taylor]: Taking taylor expansion of n in f 5.062 * [backup-simplify]: Simplify n into n 5.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.062 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.062 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.062 * [taylor]: Taking taylor expansion of n in f 5.062 * [backup-simplify]: Simplify n into n 5.062 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.062 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.062 * [taylor]: Taking taylor expansion of f in f 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 1 into 1 5.063 * [backup-simplify]: Simplify (/ 1 1) into 1 5.063 * [backup-simplify]: Simplify (+ 1 0) into 1 5.063 * [backup-simplify]: Simplify (- 1) into -1 5.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.064 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.065 * [backup-simplify]: Simplify (* -1 -1) into 1 5.065 * [taylor]: Taking taylor expansion of 1 in n 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (- 0) into 0 5.067 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.067 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.067 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.067 * [taylor]: Taking taylor expansion of 2 in n 5.067 * [backup-simplify]: Simplify 2 into 2 5.067 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.068 * [taylor]: Taking taylor expansion of n in n 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.069 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.069 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.071 * [backup-simplify]: Simplify (+ 0 0) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.077 * [backup-simplify]: Simplify (- 0) into 0 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.079 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.080 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.080 * [taylor]: Taking taylor expansion of 2 in n 5.080 * [backup-simplify]: Simplify 2 into 2 5.080 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.080 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.080 * [taylor]: Taking taylor expansion of n in n 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (* 1 1) into 1 5.081 * [backup-simplify]: Simplify (/ 1 1) into 1 5.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.089 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (- 0) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.093 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.094 * [taylor]: Taking taylor expansion of 2 in n 5.094 * [backup-simplify]: Simplify 2 into 2 5.094 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.094 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.094 * [taylor]: Taking taylor expansion of n in n 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.095 * [backup-simplify]: Simplify (/ 1 1) into 1 5.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.104 * [backup-simplify]: Simplify (log1p (expm1 (/ (+ f n) (- f n)))) into (log1p (expm1 (/ (+ n f) (- f n)))) 5.104 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ n f) (- f n)))) in (f n) around 0 5.104 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ n f) (- f n)))) in n 5.104 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ n f) (- f n))))) 5.104 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ n f) (- f n)))) in n 5.104 * [taylor]: Taking taylor expansion of 1 in n 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [taylor]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in n 5.104 * [taylor]: Rewrote expression to (- (exp (/ (+ n f) (- f n))) 1) 5.104 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in n 5.104 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.104 * [taylor]: Taking taylor expansion of (+ n f) in n 5.104 * [taylor]: Taking taylor expansion of n in n 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [taylor]: Taking taylor expansion of f in n 5.104 * [backup-simplify]: Simplify f into f 5.104 * [taylor]: Taking taylor expansion of (- f n) in n 5.104 * [taylor]: Taking taylor expansion of f in n 5.104 * [backup-simplify]: Simplify f into f 5.104 * [taylor]: Taking taylor expansion of n in n 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (+ 0 f) into f 5.105 * [backup-simplify]: Simplify (- 0) into 0 5.105 * [backup-simplify]: Simplify (+ f 0) into f 5.105 * [backup-simplify]: Simplify (/ f f) into 1 5.105 * [backup-simplify]: Simplify (exp 1) into E 5.105 * [taylor]: Taking taylor expansion of 1 in n 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (- 1) into -1 5.106 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.107 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.107 * [backup-simplify]: Simplify (log E) into 1 5.107 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ n f) (- f n)))) in f 5.107 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ n f) (- f n))))) 5.107 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ n f) (- f n)))) in f 5.107 * [taylor]: Taking taylor expansion of 1 in f 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [taylor]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in f 5.107 * [taylor]: Rewrote expression to (- (exp (/ (+ n f) (- f n))) 1) 5.107 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 5.107 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.107 * [taylor]: Taking taylor expansion of (+ n f) in f 5.107 * [taylor]: Taking taylor expansion of n in f 5.107 * [backup-simplify]: Simplify n into n 5.107 * [taylor]: Taking taylor expansion of f in f 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [taylor]: Taking taylor expansion of (- f n) in f 5.108 * [taylor]: Taking taylor expansion of f in f 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 1 into 1 5.108 * [taylor]: Taking taylor expansion of n in f 5.108 * [backup-simplify]: Simplify n into n 5.108 * [backup-simplify]: Simplify (+ n 0) into n 5.108 * [backup-simplify]: Simplify (- n) into (- n) 5.108 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.108 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.108 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.108 * [taylor]: Taking taylor expansion of 1 in f 5.108 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (- 1) into -1 5.110 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.111 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.112 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.112 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ n f) (- f n)))) in f 5.112 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ n f) (- f n))))) 5.112 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ n f) (- f n)))) in f 5.112 * [taylor]: Taking taylor expansion of 1 in f 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of (expm1 (/ (+ n f) (- f n))) in f 5.112 * [taylor]: Rewrote expression to (- (exp (/ (+ n f) (- f n))) 1) 5.112 * [taylor]: Taking taylor expansion of (exp (/ (+ n f) (- f n))) in f 5.112 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.112 * [taylor]: Taking taylor expansion of (+ n f) in f 5.112 * [taylor]: Taking taylor expansion of n in f 5.113 * [backup-simplify]: Simplify n into n 5.113 * [taylor]: Taking taylor expansion of f in f 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [taylor]: Taking taylor expansion of (- f n) in f 5.113 * [taylor]: Taking taylor expansion of f in f 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [taylor]: Taking taylor expansion of n in f 5.113 * [backup-simplify]: Simplify n into n 5.113 * [backup-simplify]: Simplify (+ n 0) into n 5.113 * [backup-simplify]: Simplify (- n) into (- n) 5.113 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.113 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.113 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.113 * [taylor]: Taking taylor expansion of 1 in f 5.113 * [backup-simplify]: Simplify 1 into 1 5.114 * [backup-simplify]: Simplify (- 1) into -1 5.115 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.116 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.117 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.117 * [taylor]: Taking taylor expansion of -1 in n 5.117 * [backup-simplify]: Simplify -1 into -1 5.117 * [backup-simplify]: Simplify -1 into -1 5.118 * [backup-simplify]: Simplify (+ 0 1) into 1 5.118 * [backup-simplify]: Simplify (- 0) into 0 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.119 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.119 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 5.120 * [backup-simplify]: Simplify (- 0) into 0 5.120 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 5.121 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 5.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 5.122 * [taylor]: Taking taylor expansion of (/ -2 n) in n 5.123 * [taylor]: Taking taylor expansion of -2 in n 5.123 * [backup-simplify]: Simplify -2 into -2 5.123 * [taylor]: Taking taylor expansion of n in n 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (/ -2 1) into -2 5.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify (+ 0 0) into 0 5.125 * [backup-simplify]: Simplify (- 0) into 0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.127 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 5.128 * [backup-simplify]: Simplify (- 0) into 0 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.128 * [backup-simplify]: Simplify (+ 0 0) into 0 5.132 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 5.132 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 5.132 * [taylor]: Taking taylor expansion of -2 in n 5.132 * [backup-simplify]: Simplify -2 into -2 5.132 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.132 * [taylor]: Taking taylor expansion of n in n 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (* 1 1) into 1 5.133 * [backup-simplify]: Simplify (/ -2 1) into -2 5.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (+ 0 0) into 0 5.138 * [backup-simplify]: Simplify (- 0) into 0 5.138 * [backup-simplify]: Simplify (+ 0 0) into 0 5.139 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 5.140 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 5.141 * [backup-simplify]: Simplify (- 0) into 0 5.142 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 5.142 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 5.148 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 5.148 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 5.148 * [taylor]: Taking taylor expansion of -2 in n 5.148 * [backup-simplify]: Simplify -2 into -2 5.148 * [taylor]: Taking taylor expansion of (pow n 3) 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 5.149 * [backup-simplify]: Simplify (* 1 1) into 1 5.149 * [backup-simplify]: Simplify (* 1 1) into 1 5.149 * [backup-simplify]: Simplify (/ -2 1) into -2 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify -1 into -1 5.158 * [backup-simplify]: Simplify (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 5.158 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 5.158 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 5.158 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 5.158 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 5.158 * [taylor]: Taking taylor expansion of 1 in n 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.158 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1) 5.158 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.158 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.158 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.158 * [taylor]: Taking taylor expansion of f in n 5.158 * [backup-simplify]: Simplify f into f 5.158 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.158 * [taylor]: Taking taylor expansion of n in n 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.159 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.159 * [taylor]: Taking taylor expansion of f in n 5.159 * [backup-simplify]: Simplify f into f 5.159 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.159 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.159 * [taylor]: Taking taylor expansion of n in n 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [backup-simplify]: Simplify (+ 0 1) into 1 5.160 * [backup-simplify]: Simplify (- 1) into -1 5.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.161 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.162 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.162 * [taylor]: Taking taylor expansion of 1 in n 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [backup-simplify]: Simplify (- 1) into -1 5.163 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.165 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.165 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.166 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.166 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 5.166 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.166 * [taylor]: Taking taylor expansion of 1 in f 5.166 * [backup-simplify]: Simplify 1 into 1 5.166 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.166 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1) 5.166 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.166 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.166 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.166 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.166 * [taylor]: Taking taylor expansion of f in f 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify 1 into 1 5.166 * [backup-simplify]: Simplify (/ 1 1) into 1 5.166 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.167 * [taylor]: Taking taylor expansion of n in f 5.167 * [backup-simplify]: Simplify n into n 5.167 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.167 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.167 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.167 * [taylor]: Taking taylor expansion of f in f 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [backup-simplify]: Simplify (/ 1 1) into 1 5.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.167 * [taylor]: Taking taylor expansion of n in f 5.167 * [backup-simplify]: Simplify n into n 5.167 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.168 * [backup-simplify]: Simplify (+ 1 0) into 1 5.168 * [backup-simplify]: Simplify (+ 1 0) into 1 5.169 * [backup-simplify]: Simplify (/ 1 1) into 1 5.169 * [backup-simplify]: Simplify (exp 1) into E 5.169 * [taylor]: Taking taylor expansion of 1 in f 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (- 1) into -1 5.169 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.171 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.171 * [backup-simplify]: Simplify (log E) into 1 5.171 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.171 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) 5.171 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.171 * [taylor]: Taking taylor expansion of 1 in f 5.171 * [backup-simplify]: Simplify 1 into 1 5.171 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.171 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1) 5.171 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.171 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.171 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.171 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.171 * [taylor]: Taking taylor expansion of f in f 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.172 * [taylor]: Taking taylor expansion of n in f 5.172 * [backup-simplify]: Simplify n into n 5.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.172 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.172 * [taylor]: Taking taylor expansion of f in f 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.172 * [taylor]: Taking taylor expansion of n in f 5.172 * [backup-simplify]: Simplify n into n 5.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.173 * [backup-simplify]: Simplify (+ 1 0) into 1 5.173 * [backup-simplify]: Simplify (+ 1 0) into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [backup-simplify]: Simplify (exp 1) into E 5.174 * [taylor]: Taking taylor expansion of 1 in f 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (- 1) into -1 5.174 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.175 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.175 * [backup-simplify]: Simplify (log E) into 1 5.176 * [taylor]: Taking taylor expansion of 1 in n 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.177 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.178 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.178 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 5.178 * [backup-simplify]: Simplify (- 0) into 0 5.179 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 5.179 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 5.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 5.180 * [taylor]: Taking taylor expansion of (/ 2 n) in n 5.180 * [taylor]: Taking taylor expansion of 2 in n 5.180 * [backup-simplify]: Simplify 2 into 2 5.180 * [taylor]: Taking taylor expansion of n in n 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (/ 2 1) into 2 5.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.183 * [backup-simplify]: Simplify (+ 0 0) into 0 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.184 * [backup-simplify]: Simplify (- 0) into 0 5.184 * [backup-simplify]: Simplify (+ 0 0) into 0 5.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.186 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 5.187 * [backup-simplify]: Simplify (- 0) into 0 5.187 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.187 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 5.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 5.189 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 5.189 * [taylor]: Taking taylor expansion of 2 in n 5.189 * [backup-simplify]: Simplify 2 into 2 5.189 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.189 * [taylor]: Taking taylor expansion of n in n 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.190 * [backup-simplify]: Simplify (/ 2 1) into 2 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) 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 5.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.196 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.197 * [backup-simplify]: Simplify (- 0) into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.200 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 5.201 * [backup-simplify]: Simplify (- 0) into 0 5.201 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 5.201 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 5.204 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 5.204 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 5.204 * [taylor]: Taking taylor expansion of 2 in n 5.204 * [backup-simplify]: Simplify 2 into 2 5.204 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.204 * [taylor]: Taking taylor expansion of n in n 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (* 1 1) into 1 5.205 * [backup-simplify]: Simplify (* 1 1) into 1 5.206 * [backup-simplify]: Simplify (/ 2 1) into 2 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (log1p (expm1 (/ (+ (/ 1 (- f)) (/ 1 (- n))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 5.214 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 5.214 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 5.214 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) 5.214 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 5.214 * [taylor]: Taking taylor expansion of 1 in n 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 5.214 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 5.214 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 5.214 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 5.214 * [taylor]: Taking taylor expansion of -1 in n 5.214 * [backup-simplify]: Simplify -1 into -1 5.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.214 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.214 * [taylor]: Taking taylor expansion of f in n 5.214 * [backup-simplify]: Simplify f into f 5.214 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.215 * [taylor]: Taking taylor expansion of (/ 1 n) 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 5.215 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.215 * [taylor]: Taking taylor expansion of (/ 1 n) 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 5.215 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.215 * [taylor]: Taking taylor expansion of f in n 5.215 * [backup-simplify]: Simplify f into f 5.215 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.216 * [backup-simplify]: Simplify (+ 0 1) into 1 5.216 * [backup-simplify]: Simplify (+ 1 0) 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 (exp -1) into (exp -1) 5.217 * [taylor]: Taking taylor expansion of 1 in n 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (- 1) into -1 5.217 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 5.218 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 5.219 * [backup-simplify]: Simplify (log (exp -1)) into -1 5.219 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 5.219 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) 5.219 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 5.219 * [taylor]: Taking taylor expansion of 1 in f 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 5.219 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 5.219 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 5.219 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.219 * [taylor]: Taking taylor expansion of -1 in f 5.219 * [backup-simplify]: Simplify -1 into -1 5.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.219 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.219 * [taylor]: Taking taylor expansion of f in f 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.220 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.220 * [taylor]: Taking taylor expansion of n in f 5.220 * [backup-simplify]: Simplify n into n 5.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.220 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.220 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.220 * [taylor]: Taking taylor expansion of n in f 5.220 * [backup-simplify]: Simplify n into n 5.220 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.220 * [taylor]: Taking taylor expansion of f in f 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 1 into 1 5.224 * [backup-simplify]: Simplify (/ 1 1) into 1 5.224 * [backup-simplify]: Simplify (+ 1 0) into 1 5.225 * [backup-simplify]: Simplify (- 1) into -1 5.225 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.225 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.225 * [backup-simplify]: Simplify (* -1 -1) into 1 5.225 * [backup-simplify]: Simplify (exp 1) into E 5.225 * [taylor]: Taking taylor expansion of 1 in f 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (- 1) into -1 5.226 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.227 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.227 * [backup-simplify]: Simplify (log E) into 1 5.227 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 5.227 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))))) 5.227 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 5.227 * [taylor]: Taking taylor expansion of 1 in f 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 5.227 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1) 5.227 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 5.227 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.227 * [taylor]: Taking taylor expansion of -1 in f 5.227 * [backup-simplify]: Simplify -1 into -1 5.227 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.227 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.227 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.227 * [taylor]: Taking taylor expansion of f in f 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 (/ 1 n) in f 5.227 * [taylor]: Taking taylor expansion of n in f 5.227 * [backup-simplify]: Simplify n into n 5.227 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.228 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.228 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.228 * [taylor]: Taking taylor expansion of n in f 5.228 * [backup-simplify]: Simplify n into n 5.228 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.228 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.228 * [taylor]: Taking taylor expansion of f in f 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (/ 1 1) into 1 5.228 * [backup-simplify]: Simplify (+ 1 0) into 1 5.228 * [backup-simplify]: Simplify (- 1) into -1 5.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.229 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.229 * [backup-simplify]: Simplify (* -1 -1) into 1 5.229 * [backup-simplify]: Simplify (exp 1) into E 5.229 * [taylor]: Taking taylor expansion of 1 in f 5.229 * [backup-simplify]: Simplify 1 into 1 5.229 * [backup-simplify]: Simplify (- 1) into -1 5.230 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 5.230 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 5.230 * [backup-simplify]: Simplify (log E) into 1 5.231 * [taylor]: Taking taylor expansion of 1 in n 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (- 0) into 0 5.232 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.232 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.233 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.233 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 5.233 * [backup-simplify]: Simplify (- 0) into 0 5.233 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 5.233 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 5.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 5.234 * [taylor]: Taking taylor expansion of (/ 2 n) in n 5.234 * [taylor]: Taking taylor expansion of 2 in n 5.234 * [backup-simplify]: Simplify 2 into 2 5.234 * [taylor]: Taking taylor expansion of n in n 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (/ 2 1) into 2 5.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.236 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (- 0) into 0 5.237 * [backup-simplify]: Simplify (+ 0 0) into 0 5.238 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.238 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.238 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 5.239 * [backup-simplify]: Simplify (- 0) into 0 5.239 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 5.239 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 5.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 5.240 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 5.240 * [taylor]: Taking taylor expansion of 2 in n 5.240 * [backup-simplify]: Simplify 2 into 2 5.240 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.240 * [taylor]: Taking taylor expansion of n in n 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (* 1 1) into 1 5.241 * [backup-simplify]: Simplify (/ 2 1) into 2 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.244 * [backup-simplify]: Simplify (+ 0 0) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- 0) into 0 5.245 * [backup-simplify]: Simplify (+ 0 0) into 0 5.247 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 5.248 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 5.249 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 5.249 * [backup-simplify]: Simplify (- 0) into 0 5.250 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 5.250 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 5.253 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 5.253 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 5.253 * [taylor]: Taking taylor expansion of 2 in n 5.253 * [backup-simplify]: Simplify 2 into 2 5.253 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.253 * [taylor]: Taking taylor expansion of n in n 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [backup-simplify]: Simplify (* 1 1) into 1 5.254 * [backup-simplify]: Simplify (* 1 1) into 1 5.254 * [backup-simplify]: Simplify (/ 2 1) into 2 5.255 * [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 5.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 5.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * * * [progress]: simplifying candidates 5.264 * [simplify]: Simplifying: (exp (/ (+ f n) (- f n))) (expm1 (expm1 (/ (+ f n) (- f n)))) (log1p (expm1 (/ (+ f n) (- f n)))) (log (expm1 (/ (+ f n) (- f n)))) (exp (expm1 (/ (+ f n) (- f n)))) (* (cbrt (expm1 (/ (+ f n) (- f n)))) (cbrt (expm1 (/ (+ f n) (- f n))))) (cbrt (expm1 (/ (+ f n) (- f n)))) (* (* (expm1 (/ (+ f n) (- f n))) (expm1 (/ (+ f n) (- f n)))) (expm1 (/ (+ f n) (- f n)))) (sqrt (expm1 (/ (+ f n) (- f n)))) (sqrt (expm1 (/ (+ f n) (- f n)))) (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (- (log (+ f n)) (log (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (- (+ f n)) (- (- f n)) (/ (* (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) (* (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) (- (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 (expm1 (/ (+ f n) (- f n)))) (expm1 (log1p (expm1 (/ (+ f n) (- f n))))) (log1p (log1p (expm1 (/ (+ f n) (- f n))))) (log (log1p (expm1 (/ (+ f n) (- f n))))) (exp (log1p (expm1 (/ (+ f n) (- f n))))) (* (cbrt (log1p (expm1 (/ (+ f n) (- f n))))) (cbrt (log1p (expm1 (/ (+ f n) (- f n)))))) (cbrt (log1p (expm1 (/ (+ f n) (- f n))))) (* (* (log1p (expm1 (/ (+ f n) (- f n)))) (log1p (expm1 (/ (+ f n) (- f n))))) (log1p (expm1 (/ (+ f n) (- f n))))) (sqrt (log1p (expm1 (/ (+ f n) (- f n))))) (sqrt (log1p (expm1 (/ (+ f n) (- f n))))) (- (exp -1) 1) (- E 1) (- E 1) -1 1 1 -1 1 1 5.266 * * [simplify]: Extracting # 0 : cost 67 inf + 0 5.267 * * [simplify]: Extracting # 1 : cost 87 inf + 2 5.267 * * [simplify]: Extracting # 2 : cost 94 inf + 115 5.268 * * [simplify]: Extracting # 3 : cost 73 inf + 3200 5.270 * * [simplify]: Extracting # 4 : cost 18 inf + 14863 5.273 * * [simplify]: Extracting # 5 : cost 3 inf + 18034 5.275 * * [simplify]: Extracting # 6 : cost 1 inf + 18478 5.278 * * [simplify]: Extracting # 7 : cost 0 inf + 18760 5.282 * * [simplify]: iteration 0 : 101 enodes (cost 18699 ) 5.316 * * [simplify]: Extracting # 0 : cost 0 inf + 18760 5.320 * * [simplify]: Extracting # 1 : cost 46 inf + 13678 5.324 * * [simplify]: Extracting # 2 : cost 3 inf + 20158 5.328 * * [simplify]: Extracting # 3 : cost 1 inf + 20251 5.333 * * [simplify]: Extracting # 4 : cost 0 inf + 20423 5.338 * * [simplify]: iteration 1 : 218 enodes (cost 16216 ) 5.420 * * [simplify]: Extracting # 0 : cost 0 inf + 20423 5.427 * * [simplify]: Extracting # 1 : cost 176 inf + 19154 5.439 * * [simplify]: Extracting # 2 : cost 3 inf + 45736 5.453 * * [simplify]: Extracting # 3 : cost 0 inf + 46161 5.467 * * [simplify]: iteration 2 : 668 enodes (cost 16096 ) 5.941 * * [simplify]: Extracting # 0 : cost 0 inf + 46161 5.972 * * [simplify]: Extracting # 1 : cost 1114 inf + 29257 6.008 * * [simplify]: Extracting # 2 : cost 3 inf + 183611 6.045 * * [simplify]: Extracting # 3 : cost 1 inf + 183784 6.110 * * [simplify]: Extracting # 4 : cost 0 inf + 183996 6.155 * * [simplify]: iteration 3 : 3636 enodes (cost 15977 ) 7.313 * * [simplify]: Extracting # 0 : cost 0 inf + 183996 7.429 * * [simplify]: Extracting # 1 : cost 23 inf + 180548 7.517 * * [simplify]: Extracting # 2 : cost 0 inf + 182747 7.599 * * [simplify]: iteration done: 5000 enodes (cost 15977 ) 7.599 * [simplify]: Simplified to: (exp (/ (+ f n) (- f n))) (expm1 (expm1 (/ (+ f n) (- f n)))) (/ (+ f n) (- f n)) (log (expm1 (/ (+ f n) (- f n)))) (exp (expm1 (/ (+ f n) (- f n)))) (* (cbrt (expm1 (/ (+ f n) (- f n)))) (cbrt (expm1 (/ (+ f n) (- f n))))) (cbrt (expm1 (/ (+ f n) (- f n)))) (* (* (expm1 (/ (+ f n) (- f n))) (expm1 (/ (+ f n) (- f n)))) (expm1 (/ (+ f n) (- f n)))) (sqrt (expm1 (/ (+ f n) (- f n)))) (sqrt (expm1 (/ (+ f n) (- f n)))) (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (log (/ (+ f n) (- 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)) (- n f) (* (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (cbrt (+ f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (cbrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (sqrt (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) 1 (/ (+ f n) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) 1 (/ (+ f n) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) 1 (/ (+ f n) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) 1 (/ (+ f n) (- f n)) (/ 1 (- f n)) (/ (- f n) (+ f n)) (/ (+ f n) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (sqrt (- f n))) (+ f n) (/ (+ f n) (+ (sqrt f) (sqrt n))) (+ f n) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (+ f n) (- (* (* f f) f) (* (* n n) n))) (/ 1 (- f n)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) (+ 1 (expm1 (/ (+ f n) (- f n)))) (expm1 (/ (+ f n) (- f n))) (log1p (/ (+ f n) (- f n))) (log (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n))) (* (cbrt (/ (+ f n) (- f n))) (cbrt (/ (+ f n) (- f n)))) (cbrt (/ (+ f n) (- f n))) (* (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))) (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (sqrt (/ (+ f n) (- f n))) (expm1 -1) (- E 1) (- E 1) -1 1 1 -1 1 1 7.603 * * * [progress]: adding candidates to table 7.980 * * [progress]: iteration 4 / 4 7.980 * * * [progress]: picking best candidate 7.991 * * * * [pick]: Picked # 7.991 * * * [progress]: localizing error 8.023 * * * [progress]: generating rewritten candidates 8.023 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.118 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 8.127 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 8.193 * * * [progress]: generating series expansions 8.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.193 * [backup-simplify]: Simplify (/ (+ f n) (sqrt (- f n))) into (* (sqrt (/ 1 (- f n))) (+ n f)) 8.193 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in (f n) around 0 8.193 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in n 8.194 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in n 8.194 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in n 8.194 * [taylor]: Taking taylor expansion of (- f n) in n 8.194 * [taylor]: Taking taylor expansion of f in n 8.194 * [backup-simplify]: Simplify f into f 8.194 * [taylor]: Taking taylor expansion of n in n 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 1 into 1 8.195 * [backup-simplify]: Simplify (- 0) into 0 8.195 * [backup-simplify]: Simplify (+ f 0) into f 8.195 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.195 * [backup-simplify]: Simplify (sqrt (/ 1 f)) into (sqrt (/ 1 f)) 8.195 * [backup-simplify]: Simplify (- 1) into -1 8.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ -1 f)))) into (/ 1 (pow f 2)) 8.196 * [backup-simplify]: Simplify (/ (/ 1 (pow f 2)) (* 2 (sqrt (/ 1 f)))) into (* 1/2 (sqrt (/ 1 (pow f 3)))) 8.196 * [taylor]: Taking taylor expansion of (+ n f) in n 8.196 * [taylor]: Taking taylor expansion of n in n 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify 1 into 1 8.196 * [taylor]: Taking taylor expansion of f in n 8.196 * [backup-simplify]: Simplify f into f 8.196 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in f 8.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 8.197 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 8.197 * [taylor]: Taking taylor expansion of (- f n) in f 8.197 * [taylor]: Taking taylor expansion of f in f 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.197 * [taylor]: Taking taylor expansion of n in f 8.197 * [backup-simplify]: Simplify n into n 8.197 * [backup-simplify]: Simplify (- n) into (- n) 8.197 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.197 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 8.197 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.198 * [backup-simplify]: Simplify (+ 1 0) into 1 8.198 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 8.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 8.198 * [taylor]: Taking taylor expansion of (+ n f) in f 8.198 * [taylor]: Taking taylor expansion of n in f 8.198 * [backup-simplify]: Simplify n into n 8.198 * [taylor]: Taking taylor expansion of f in f 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- f n))) (+ n f)) in f 8.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- f n))) in f 8.199 * [taylor]: Taking taylor expansion of (/ 1 (- f n)) in f 8.199 * [taylor]: Taking taylor expansion of (- f n) in f 8.199 * [taylor]: Taking taylor expansion of f in f 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [taylor]: Taking taylor expansion of n in f 8.199 * [backup-simplify]: Simplify n into n 8.199 * [backup-simplify]: Simplify (- n) into (- n) 8.199 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.199 * [backup-simplify]: Simplify (/ 1 (- n)) into (/ -1 n) 8.199 * [backup-simplify]: Simplify (sqrt (/ -1 n)) into (sqrt (/ -1 n)) 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.200 * [backup-simplify]: Simplify (+ 1 0) into 1 8.200 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 1 (- n))))) into (- (/ 1 (pow n 2))) 8.200 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2))) (* 2 (sqrt (/ -1 n)))) into (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 8.200 * [taylor]: Taking taylor expansion of (+ n f) in f 8.200 * [taylor]: Taking taylor expansion of n in f 8.201 * [backup-simplify]: Simplify n into n 8.201 * [taylor]: Taking taylor expansion of f in f 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [backup-simplify]: Simplify (+ n 0) into n 8.201 * [backup-simplify]: Simplify (* (sqrt (/ -1 n)) n) into (* (sqrt (/ -1 n)) n) 8.201 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) n) in n 8.201 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 8.201 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.201 * [taylor]: Taking taylor expansion of -1 in n 8.201 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (sqrt 0) into 0 8.204 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.204 * [taylor]: Taking taylor expansion of n in n 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (+ 0 1) into 1 8.205 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 n)) 1) (* (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) n)) into (- (sqrt (/ -1 n)) (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n)))) 8.205 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 n)) (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n)))) in n 8.205 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 8.205 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.206 * [taylor]: Taking taylor expansion of -1 in n 8.206 * [backup-simplify]: Simplify -1 into -1 8.206 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (sqrt 0) into 0 8.208 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt (/ -1 n)) n))) in n 8.208 * [taylor]: Taking taylor expansion of 1/2 in n 8.208 * [backup-simplify]: Simplify 1/2 into 1/2 8.208 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) n)) in n 8.208 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) n) in n 8.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 8.208 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.208 * [taylor]: Taking taylor expansion of -1 in n 8.208 * [backup-simplify]: Simplify -1 into -1 8.208 * [taylor]: Taking taylor expansion of n in n 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 1 into 1 8.209 * [backup-simplify]: Simplify (/ -1 1) into -1 8.209 * [backup-simplify]: Simplify (sqrt 0) into 0 8.210 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.210 * [taylor]: Taking taylor expansion of n in n 8.210 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify 1 into 1 8.211 * [backup-simplify]: Simplify (* 0 0) into 0 8.212 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 0)) into 0 8.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.215 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 8.223 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 8.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 0)))) into (- +nan.0) 8.230 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.231 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 +nan.0)) into (- +nan.0) 8.231 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.232 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 8.232 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.235 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 0))) into (- +nan.0) 8.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.238 * [backup-simplify]: Simplify (+ 0 0) into 0 8.238 * [backup-simplify]: Simplify (- 0) into 0 8.238 * [backup-simplify]: Simplify (+ 0 0) into 0 8.238 * [backup-simplify]: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* (- (/ 1 (pow n 2))) (/ 1 (- n))))) into (- (/ 1 (pow n 3))) 8.239 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 3))) (pow (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 2) (+)) (* 2 (sqrt (/ -1 n)))) into (* -1/2 (/ (+ (/ 1 (pow n 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 n)) 2) (pow n 4))))) (sqrt (/ -1 n)))) 8.240 * [backup-simplify]: Simplify (+ (* (sqrt (/ -1 n)) 0) (+ (* (/ -1/2 (* (sqrt (/ -1 n)) (pow n 2))) 1) (* (* -1/2 (/ (+ (/ 1 (pow n 3)) (* 1/4 (/ 1 (* (pow (sqrt (/ -1 n)) 2) (pow n 4))))) (sqrt (/ -1 n)))) n))) into (- (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))))) 8.240 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))))) in n 8.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3))))) in n 8.240 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 n)) (pow n 2))) in n 8.240 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 n)) (pow n 2)) in n 8.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 8.240 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.240 * [taylor]: Taking taylor expansion of -1 in n 8.240 * [backup-simplify]: Simplify -1 into -1 8.240 * [taylor]: Taking taylor expansion of n in n 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (/ -1 1) into -1 8.241 * [backup-simplify]: Simplify (sqrt 0) into 0 8.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.241 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.241 * [taylor]: Taking taylor expansion of n in n 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.242 * [backup-simplify]: Simplify (* 1 1) into 1 8.242 * [backup-simplify]: Simplify (* 0 1) into 0 8.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.243 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 1)) into (- +nan.0) 8.244 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 8.244 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3)))) in n 8.244 * [taylor]: Taking taylor expansion of 1/8 in n 8.244 * [backup-simplify]: Simplify 1/8 into 1/8 8.244 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt (/ -1 n)) 3) (pow n 3))) in n 8.244 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) 3) (pow n 3)) in n 8.244 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 3) in n 8.244 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 8.244 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.244 * [taylor]: Taking taylor expansion of -1 in n 8.244 * [backup-simplify]: Simplify -1 into -1 8.244 * [taylor]: Taking taylor expansion of n in n 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.244 * [backup-simplify]: Simplify (/ -1 1) into -1 8.244 * [backup-simplify]: Simplify (sqrt 0) into 0 8.245 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.245 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.245 * [taylor]: Taking taylor expansion of n in n 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 8.246 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 8.246 * [backup-simplify]: Simplify (* 1 1) into 1 8.246 * [backup-simplify]: Simplify (* 1 1) into 1 8.246 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.247 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.250 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 1)))) into (- +nan.0) 8.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 1))) into (- +nan.0) 8.259 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.262 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.270 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 8.272 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.280 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 8.282 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.287 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 8.290 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 8.293 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) 1)))) into (- +nan.0) 8.294 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) 1)) into (- +nan.0) 8.296 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 8.298 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) 1))) into (- +nan.0) 8.301 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 8.305 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 8.307 * [backup-simplify]: Simplify (+ (* 1/8 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 +nan.0)))) into (- +nan.0) 8.308 * [backup-simplify]: Simplify (+ (- +nan.0) (- +nan.0)) into (- +nan.0) 8.309 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.309 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.314 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* (- +nan.0) (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 8.314 * [backup-simplify]: Simplify (/ (+ (/ 1 f) (/ 1 n)) (sqrt (- (/ 1 f) (/ 1 n)))) into (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) 8.314 * [approximate]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in (f n) around 0 8.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in n 8.314 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.314 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.314 * [taylor]: Taking taylor expansion of f in n 8.314 * [backup-simplify]: Simplify f into f 8.314 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.314 * [taylor]: Taking taylor expansion of n in n 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (/ 1 1) into 1 8.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in n 8.315 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in n 8.315 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.315 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.315 * [taylor]: Taking taylor expansion of f in n 8.315 * [backup-simplify]: Simplify f into f 8.315 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.315 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.315 * [taylor]: Taking taylor expansion of n in n 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (/ 1 1) into 1 8.315 * [backup-simplify]: Simplify (- 1) into -1 8.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.316 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.316 * [backup-simplify]: Simplify (sqrt 0) into 0 8.317 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.317 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 8.317 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.317 * [taylor]: Taking taylor expansion of f in f 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.317 * [backup-simplify]: Simplify (/ 1 1) into 1 8.317 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.317 * [taylor]: Taking taylor expansion of n in f 8.317 * [backup-simplify]: Simplify n into n 8.317 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 8.317 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 8.317 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.317 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.317 * [taylor]: Taking taylor expansion of f in f 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (/ 1 1) into 1 8.318 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.318 * [taylor]: Taking taylor expansion of n in f 8.318 * [backup-simplify]: Simplify n into n 8.318 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.318 * [backup-simplify]: Simplify (+ 1 0) into 1 8.318 * [backup-simplify]: Simplify (/ 1 1) into 1 8.318 * [backup-simplify]: Simplify (sqrt 0) into 0 8.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 f) (/ 1 n))))) in f 8.319 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.319 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.319 * [taylor]: Taking taylor expansion of f in f 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (/ 1 1) into 1 8.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.320 * [taylor]: Taking taylor expansion of n in f 8.320 * [backup-simplify]: Simplify n into n 8.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 f) (/ 1 n)))) in f 8.320 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 f) (/ 1 n))) in f 8.320 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.320 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.320 * [taylor]: Taking taylor expansion of f in f 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (/ 1 1) into 1 8.320 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.320 * [taylor]: Taking taylor expansion of n in f 8.320 * [backup-simplify]: Simplify n into n 8.320 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.320 * [backup-simplify]: Simplify (+ 1 0) into 1 8.321 * [backup-simplify]: Simplify (/ 1 1) into 1 8.321 * [backup-simplify]: Simplify (sqrt 0) into 0 8.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.322 * [backup-simplify]: Simplify (+ 1 0) into 1 8.322 * [backup-simplify]: Simplify (* 1 0) into 0 8.322 * [taylor]: Taking taylor expansion of 0 in n 8.322 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.323 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 8.323 * [taylor]: Taking taylor expansion of (- +nan.0) in n 8.323 * [taylor]: Taking taylor expansion of +nan.0 in n 8.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.324 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.324 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 n)) 1)))) into (/ 1 n) 8.325 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.326 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* (/ 1 n) +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 8.326 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 8.326 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 8.326 * [taylor]: Taking taylor expansion of +nan.0 in n 8.326 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 8.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 8.326 * [taylor]: Taking taylor expansion of +nan.0 in n 8.326 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.326 * [taylor]: Taking taylor expansion of n in n 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (/ 1 1) into 1 8.327 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.327 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.328 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.328 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.328 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.329 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.329 * [backup-simplify]: Simplify (- 0) into 0 8.330 * [backup-simplify]: Simplify (+ 0 0) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 n) (/ (- (/ 1 n)) 1)))) into (/ 1 (pow n 2)) 8.331 * [backup-simplify]: Simplify (/ (- (/ 1 (pow n 2)) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) 8.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (/ 1 (pow n 2)) (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) (+ (* (/ 1 n) (* +nan.0 (- (/ 1 n) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 8.332 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 8.332 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 8.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 8.332 * [taylor]: Taking taylor expansion of +nan.0 in n 8.332 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.332 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.332 * [taylor]: Taking taylor expansion of n in n 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.333 * [backup-simplify]: Simplify (* 1 1) into 1 8.333 * [backup-simplify]: Simplify (/ 1 1) into 1 8.333 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 8.333 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 8.333 * [taylor]: Taking taylor expansion of +nan.0 in n 8.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.333 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 8.333 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 8.333 * [taylor]: Taking taylor expansion of +nan.0 in n 8.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.333 * [taylor]: Taking taylor expansion of n in n 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 1 into 1 8.333 * [backup-simplify]: Simplify (/ 1 1) into 1 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 8.336 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.336 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.337 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.338 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.338 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.339 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.341 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 8.342 * [backup-simplify]: Simplify (/ (+ (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) 8.342 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in (f n) around 0 8.342 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in n 8.342 * [taylor]: Taking taylor expansion of -1 in n 8.342 * [backup-simplify]: Simplify -1 into -1 8.342 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in n 8.342 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.342 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.342 * [taylor]: Taking taylor expansion of f in n 8.342 * [backup-simplify]: Simplify f into f 8.342 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.342 * [taylor]: Taking taylor expansion of n in n 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in n 8.343 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in n 8.343 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.343 * [taylor]: Taking taylor expansion of n in n 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ 1 1) into 1 8.343 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.343 * [taylor]: Taking taylor expansion of f in n 8.343 * [backup-simplify]: Simplify f into f 8.343 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.344 * [backup-simplify]: Simplify (+ 1 0) into 1 8.344 * [backup-simplify]: Simplify (/ 1 1) into 1 8.344 * [backup-simplify]: Simplify (sqrt 0) into 0 8.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.346 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in f 8.346 * [taylor]: Taking taylor expansion of -1 in f 8.346 * [backup-simplify]: Simplify -1 into -1 8.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 8.346 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.346 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.346 * [taylor]: Taking taylor expansion of f in f 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.347 * [backup-simplify]: Simplify (/ 1 1) into 1 8.347 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.347 * [taylor]: Taking taylor expansion of n in f 8.347 * [backup-simplify]: Simplify n into n 8.347 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 8.347 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 8.347 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.347 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.347 * [taylor]: Taking taylor expansion of n in f 8.347 * [backup-simplify]: Simplify n into n 8.347 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.347 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.347 * [taylor]: Taking taylor expansion of f in f 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.347 * [backup-simplify]: Simplify (/ 1 1) into 1 8.348 * [backup-simplify]: Simplify (- 1) into -1 8.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.349 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.349 * [backup-simplify]: Simplify (sqrt 0) into 0 8.350 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.350 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))))) in f 8.350 * [taylor]: Taking taylor expansion of -1 in f 8.350 * [backup-simplify]: Simplify -1 into -1 8.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) (sqrt (/ 1 (- (/ 1 n) (/ 1 f))))) in f 8.350 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.350 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.350 * [taylor]: Taking taylor expansion of f in f 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.351 * [taylor]: Taking taylor expansion of n in f 8.351 * [backup-simplify]: Simplify n into n 8.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (/ 1 n) (/ 1 f)))) in f 8.351 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 n) (/ 1 f))) in f 8.351 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.351 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.351 * [taylor]: Taking taylor expansion of n in f 8.351 * [backup-simplify]: Simplify n into n 8.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.351 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.351 * [taylor]: Taking taylor expansion of f in f 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.352 * [backup-simplify]: Simplify (/ 1 1) into 1 8.352 * [backup-simplify]: Simplify (- 1) into -1 8.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.353 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.353 * [backup-simplify]: Simplify (sqrt 0) into 0 8.354 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.355 * [backup-simplify]: Simplify (+ 1 0) into 1 8.355 * [backup-simplify]: Simplify (* 1 0) into 0 8.356 * [backup-simplify]: Simplify (* -1 0) into 0 8.356 * [taylor]: Taking taylor expansion of 0 in n 8.356 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.357 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.357 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 n) 0)) into (- +nan.0) 8.359 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 8.359 * [taylor]: Taking taylor expansion of (- +nan.0) in n 8.359 * [taylor]: Taking taylor expansion of +nan.0 in n 8.359 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.359 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (- 0) into 0 8.360 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.361 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 1 n) -1)))) into (- (/ 1 n)) 8.362 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 8.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.363 * [backup-simplify]: Simplify (+ 0 0) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* (/ 1 n) +nan.0) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 8.365 * [backup-simplify]: Simplify (+ (* -1 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 8.365 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 8.365 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 8.365 * [taylor]: Taking taylor expansion of +nan.0 in n 8.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.365 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 8.365 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 8.365 * [taylor]: Taking taylor expansion of +nan.0 in n 8.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.365 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.365 * [taylor]: Taking taylor expansion of n in n 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.366 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.367 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.368 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.368 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (- 0) into 0 8.371 * [backup-simplify]: Simplify (+ 0 0) into 0 8.371 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 n)) (/ (/ 1 n) -1)))) into (- (/ 1 (pow n 2))) 8.372 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow n 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.374 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (/ 1 (pow n 2)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* (/ 1 n) (* +nan.0 (+ +nan.0 (/ 1 n)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 8.376 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))))) (+ (* 0 (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 8.377 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) in n 8.377 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n)))))) in n 8.377 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow n 2))) in n 8.377 * [taylor]: Taking taylor expansion of +nan.0 in n 8.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.377 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.377 * [taylor]: Taking taylor expansion of n in n 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.377 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.378 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 8.378 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 8.378 * [taylor]: Taking taylor expansion of +nan.0 in n 8.378 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.378 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 8.378 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 8.378 * [taylor]: Taking taylor expansion of +nan.0 in n 8.378 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.378 * [taylor]: Taking taylor expansion of n in n 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.381 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.381 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.382 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.383 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.384 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.385 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.387 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ (- +nan.0) (* (- +nan.0) (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 8.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.387 * [backup-simplify]: Simplify (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n))) into (/ (+ n f) (- f n)) 8.387 * [approximate]: Taking taylor expansion of (/ (+ n f) (- f n)) in (f n) around 0 8.387 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.387 * [taylor]: Taking taylor expansion of (+ n f) in n 8.387 * [taylor]: Taking taylor expansion of n in n 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [taylor]: Taking taylor expansion of f in n 8.387 * [backup-simplify]: Simplify f into f 8.387 * [taylor]: Taking taylor expansion of (- f n) in n 8.387 * [taylor]: Taking taylor expansion of f in n 8.387 * [backup-simplify]: Simplify f into f 8.387 * [taylor]: Taking taylor expansion of n in n 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify (+ 0 f) into f 8.388 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify (+ f 0) into f 8.388 * [backup-simplify]: Simplify (/ f f) into 1 8.388 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.388 * [taylor]: Taking taylor expansion of (+ n f) in f 8.388 * [taylor]: Taking taylor expansion of n in f 8.388 * [backup-simplify]: Simplify n into n 8.388 * [taylor]: Taking taylor expansion of f in f 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [taylor]: Taking taylor expansion of (- f n) in f 8.388 * [taylor]: Taking taylor expansion of f in f 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [taylor]: Taking taylor expansion of n in f 8.388 * [backup-simplify]: Simplify n into n 8.388 * [backup-simplify]: Simplify (+ n 0) into n 8.388 * [backup-simplify]: Simplify (- n) into (- n) 8.388 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.388 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.388 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.388 * [taylor]: Taking taylor expansion of (+ n f) in f 8.388 * [taylor]: Taking taylor expansion of n in f 8.388 * [backup-simplify]: Simplify n into n 8.388 * [taylor]: Taking taylor expansion of f in f 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.389 * [taylor]: Taking taylor expansion of (- f n) in f 8.389 * [taylor]: Taking taylor expansion of f in f 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [taylor]: Taking taylor expansion of n in f 8.389 * [backup-simplify]: Simplify n into n 8.389 * [backup-simplify]: Simplify (+ n 0) into n 8.389 * [backup-simplify]: Simplify (- n) into (- n) 8.389 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.389 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.389 * [taylor]: Taking taylor expansion of -1 in n 8.389 * [backup-simplify]: Simplify -1 into -1 8.389 * [backup-simplify]: Simplify -1 into -1 8.389 * [backup-simplify]: Simplify (+ 0 1) into 1 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.390 * [backup-simplify]: Simplify (+ 1 0) into 1 8.390 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.390 * [taylor]: Taking taylor expansion of 2 in n 8.390 * [backup-simplify]: Simplify 2 into 2 8.390 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.391 * [taylor]: Taking taylor expansion of n in n 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (/ 1 1) into 1 8.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.393 * [backup-simplify]: Simplify (- 0) into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.394 * [backup-simplify]: Simplify (- 0) into 0 8.394 * [backup-simplify]: Simplify (+ 0 0) into 0 8.394 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.394 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.395 * [taylor]: Taking taylor expansion of 2 in n 8.395 * [backup-simplify]: Simplify 2 into 2 8.395 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.395 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.395 * [taylor]: Taking taylor expansion of n in n 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (* 1 1) into 1 8.395 * [backup-simplify]: Simplify (/ 1 1) into 1 8.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.400 * [backup-simplify]: Simplify (- 0) into 0 8.400 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.402 * [backup-simplify]: Simplify (- 0) into 0 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify (+ 0 0) into 0 8.403 * [backup-simplify]: Simplify (- 0) into 0 8.403 * [backup-simplify]: Simplify (+ 0 0) into 0 8.404 * [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)))) 8.404 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.404 * [taylor]: Taking taylor expansion of 2 in n 8.404 * [backup-simplify]: Simplify 2 into 2 8.404 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.404 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.404 * [taylor]: Taking taylor expansion of n in n 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * [backup-simplify]: Simplify (* 1 1) into 1 8.405 * [backup-simplify]: Simplify (* 1 1) into 1 8.405 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (- 0) into 0 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify -1 into -1 8.415 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 f) (/ 1 n)) (sqrt (- (/ 1 f) (/ 1 n)))) (sqrt (- (/ 1 f) (/ 1 n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) 8.415 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in (f n) around 0 8.415 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.415 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.415 * [taylor]: Taking taylor expansion of f in n 8.415 * [backup-simplify]: Simplify f into f 8.415 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.415 * [taylor]: Taking taylor expansion of n in n 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (/ 1 1) into 1 8.415 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.415 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.415 * [taylor]: Taking taylor expansion of f in n 8.415 * [backup-simplify]: Simplify f into f 8.415 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.415 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.415 * [taylor]: Taking taylor expansion of n in n 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.416 * [backup-simplify]: Simplify (/ 1 1) into 1 8.416 * [backup-simplify]: Simplify (+ 0 1) into 1 8.417 * [backup-simplify]: Simplify (- 1) into -1 8.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.417 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.418 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.418 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.418 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.418 * [taylor]: Taking taylor expansion of f in f 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [backup-simplify]: Simplify (/ 1 1) into 1 8.418 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.418 * [taylor]: Taking taylor expansion of n in f 8.418 * [backup-simplify]: Simplify n into n 8.418 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.418 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.418 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.418 * [taylor]: Taking taylor expansion of f in f 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify (/ 1 1) into 1 8.419 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.419 * [taylor]: Taking taylor expansion of n in f 8.419 * [backup-simplify]: Simplify n into n 8.419 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.419 * [backup-simplify]: Simplify (+ 1 0) into 1 8.420 * [backup-simplify]: Simplify (+ 1 0) into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.420 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.420 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.420 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.420 * [taylor]: Taking taylor expansion of f in f 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (/ 1 1) into 1 8.421 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.421 * [taylor]: Taking taylor expansion of n in f 8.421 * [backup-simplify]: Simplify n into n 8.421 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.421 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.421 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.421 * [taylor]: Taking taylor expansion of f in f 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (/ 1 1) into 1 8.421 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.421 * [taylor]: Taking taylor expansion of n in f 8.421 * [backup-simplify]: Simplify n into n 8.421 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.422 * [backup-simplify]: Simplify (+ 1 0) into 1 8.422 * [backup-simplify]: Simplify (+ 1 0) into 1 8.422 * [backup-simplify]: Simplify (/ 1 1) into 1 8.423 * [taylor]: Taking taylor expansion of 1 in n 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.424 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.425 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.425 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.425 * [taylor]: Taking taylor expansion of 2 in n 8.425 * [backup-simplify]: Simplify 2 into 2 8.425 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.425 * [taylor]: Taking taylor expansion of n in n 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 1 into 1 8.425 * [backup-simplify]: Simplify (/ 1 1) into 1 8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.429 * [backup-simplify]: Simplify (- 0) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.431 * [taylor]: Taking taylor expansion of 2 in n 8.431 * [backup-simplify]: Simplify 2 into 2 8.431 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.431 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.431 * [taylor]: Taking taylor expansion of n in n 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (* 1 1) into 1 8.432 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.439 * [backup-simplify]: Simplify (+ 0 0) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.441 * [backup-simplify]: Simplify (- 0) into 0 8.441 * [backup-simplify]: Simplify (+ 0 0) into 0 8.847 * [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))) 8.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.847 * [taylor]: Taking taylor expansion of 2 in n 8.847 * [backup-simplify]: Simplify 2 into 2 8.847 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.847 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.847 * [taylor]: Taking taylor expansion of n in n 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.848 * [backup-simplify]: Simplify (* 1 1) into 1 8.848 * [backup-simplify]: Simplify (* 1 1) into 1 8.848 * [backup-simplify]: Simplify (/ 1 1) into 1 8.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- f)) (/ 1 (- n))) (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) (sqrt (- (/ 1 (- f)) (/ 1 (- n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 8.857 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 8.857 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 8.857 * [taylor]: Taking taylor expansion of -1 in n 8.857 * [backup-simplify]: Simplify -1 into -1 8.857 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.857 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.857 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.857 * [taylor]: Taking taylor expansion of f in n 8.858 * [backup-simplify]: Simplify f into f 8.858 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.858 * [taylor]: Taking taylor expansion of n in n 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (/ 1 1) into 1 8.858 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.858 * [taylor]: Taking taylor expansion of n in n 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (/ 1 1) into 1 8.859 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.859 * [taylor]: Taking taylor expansion of f in n 8.859 * [backup-simplify]: Simplify f into f 8.859 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.859 * [backup-simplify]: Simplify (+ 0 1) into 1 8.860 * [backup-simplify]: Simplify (+ 1 0) into 1 8.860 * [backup-simplify]: Simplify (/ 1 1) into 1 8.860 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.860 * [taylor]: Taking taylor expansion of -1 in f 8.860 * [backup-simplify]: Simplify -1 into -1 8.860 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.860 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.860 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.860 * [taylor]: Taking taylor expansion of f in f 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.861 * [backup-simplify]: Simplify (/ 1 1) into 1 8.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.861 * [taylor]: Taking taylor expansion of n in f 8.861 * [backup-simplify]: Simplify n into n 8.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.861 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.861 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.861 * [taylor]: Taking taylor expansion of n in f 8.861 * [backup-simplify]: Simplify n into n 8.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.861 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.861 * [taylor]: Taking taylor expansion of f in f 8.861 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify 1 into 1 8.862 * [backup-simplify]: Simplify (/ 1 1) into 1 8.862 * [backup-simplify]: Simplify (+ 1 0) into 1 8.863 * [backup-simplify]: Simplify (- 1) into -1 8.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.863 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.864 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 8.864 * [taylor]: Taking taylor expansion of -1 in f 8.864 * [backup-simplify]: Simplify -1 into -1 8.864 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.864 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.864 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.864 * [taylor]: Taking taylor expansion of f in f 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 1 into 1 8.865 * [backup-simplify]: Simplify (/ 1 1) into 1 8.865 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.865 * [taylor]: Taking taylor expansion of n in f 8.865 * [backup-simplify]: Simplify n into n 8.865 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.865 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.865 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.865 * [taylor]: Taking taylor expansion of n in f 8.865 * [backup-simplify]: Simplify n into n 8.865 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.865 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.865 * [taylor]: Taking taylor expansion of f in f 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [backup-simplify]: Simplify (/ 1 1) into 1 8.867 * [backup-simplify]: Simplify (+ 1 0) into 1 8.867 * [backup-simplify]: Simplify (- 1) into -1 8.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.868 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.869 * [backup-simplify]: Simplify (* -1 -1) into 1 8.869 * [taylor]: Taking taylor expansion of 1 in n 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.870 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.871 * [backup-simplify]: Simplify (- 0) into 0 8.871 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.871 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.872 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.872 * [taylor]: Taking taylor expansion of 2 in n 8.872 * [backup-simplify]: Simplify 2 into 2 8.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.872 * [taylor]: Taking taylor expansion of n in n 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ 1 1) into 1 8.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.877 * [backup-simplify]: Simplify (- 0) into 0 8.877 * [backup-simplify]: Simplify (+ 0 0) into 0 8.878 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.879 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.879 * [taylor]: Taking taylor expansion of 2 in n 8.879 * [backup-simplify]: Simplify 2 into 2 8.879 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.879 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.879 * [taylor]: Taking taylor expansion of n in n 8.879 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify 1 into 1 8.880 * [backup-simplify]: Simplify (* 1 1) into 1 8.880 * [backup-simplify]: Simplify (/ 1 1) into 1 8.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.884 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.888 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.891 * [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)))) 8.892 * [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))) 8.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.892 * [taylor]: Taking taylor expansion of 2 in n 8.893 * [backup-simplify]: Simplify 2 into 2 8.893 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.893 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.893 * [taylor]: Taking taylor expansion of n in n 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify 1 into 1 8.893 * [backup-simplify]: Simplify (* 1 1) into 1 8.893 * [backup-simplify]: Simplify (* 1 1) into 1 8.894 * [backup-simplify]: Simplify (/ 1 1) into 1 8.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.902 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 8.903 * [backup-simplify]: Simplify (sqrt (- f n)) into (sqrt (- f n)) 8.903 * [approximate]: Taking taylor expansion of (sqrt (- f n)) in (f n) around 0 8.903 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in n 8.903 * [taylor]: Taking taylor expansion of (- f n) in n 8.903 * [taylor]: Taking taylor expansion of f in n 8.903 * [backup-simplify]: Simplify f into f 8.903 * [taylor]: Taking taylor expansion of n in n 8.903 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify 1 into 1 8.903 * [backup-simplify]: Simplify (- 0) into 0 8.903 * [backup-simplify]: Simplify (+ f 0) into f 8.903 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 8.904 * [backup-simplify]: Simplify (- 1) into -1 8.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.904 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt f))) into (* -1/2 (sqrt (/ 1 f))) 8.904 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 8.904 * [taylor]: Taking taylor expansion of (- f n) in f 8.904 * [taylor]: Taking taylor expansion of f in f 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [taylor]: Taking taylor expansion of n in f 8.904 * [backup-simplify]: Simplify n into n 8.904 * [backup-simplify]: Simplify (- n) into (- n) 8.905 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.905 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 8.905 * [backup-simplify]: Simplify (- 0) into 0 8.906 * [backup-simplify]: Simplify (+ 1 0) into 1 8.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 8.906 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 8.906 * [taylor]: Taking taylor expansion of (- f n) in f 8.906 * [taylor]: Taking taylor expansion of f in f 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [taylor]: Taking taylor expansion of n in f 8.906 * [backup-simplify]: Simplify n into n 8.906 * [backup-simplify]: Simplify (- n) into (- n) 8.906 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.906 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 8.906 * [backup-simplify]: Simplify (- 0) into 0 8.907 * [backup-simplify]: Simplify (+ 1 0) into 1 8.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 8.907 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 8.907 * [taylor]: Taking taylor expansion of (- n) in n 8.907 * [taylor]: Taking taylor expansion of n in n 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify 1 into 1 8.908 * [backup-simplify]: Simplify (- 0) into 0 8.908 * [backup-simplify]: Simplify (- 1) into -1 8.908 * [backup-simplify]: Simplify (sqrt 0) into 0 8.909 * [backup-simplify]: Simplify (- 1) into -1 8.910 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- n))) in n 8.910 * [taylor]: Taking taylor expansion of 1/2 in n 8.910 * [backup-simplify]: Simplify 1/2 into 1/2 8.910 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 8.910 * [taylor]: Taking taylor expansion of (- n) in n 8.910 * [taylor]: Taking taylor expansion of n in n 8.910 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify (- 0) into 0 8.911 * [backup-simplify]: Simplify (- 1) into -1 8.912 * [backup-simplify]: Simplify (sqrt 0) into 0 8.912 * [backup-simplify]: Simplify (- 1) into -1 8.913 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.914 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 8.914 * [backup-simplify]: Simplify (- 0) into 0 8.917 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.919 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.920 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.920 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.920 * [backup-simplify]: Simplify (- 0) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.921 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 8.921 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- n)) 3)) in n 8.921 * [taylor]: Taking taylor expansion of -1/8 in n 8.922 * [backup-simplify]: Simplify -1/8 into -1/8 8.922 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 8.922 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 8.922 * [taylor]: Taking taylor expansion of (- n) in n 8.922 * [taylor]: Taking taylor expansion of n in n 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [backup-simplify]: Simplify (- 0) into 0 8.922 * [backup-simplify]: Simplify (- 1) into -1 8.923 * [backup-simplify]: Simplify (sqrt 0) into 0 8.923 * [backup-simplify]: Simplify (- 1) into -1 8.924 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.925 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 8.925 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 8.926 * [backup-simplify]: Simplify (/ -1/8 +nan.0) into +nan.0 8.926 * [backup-simplify]: Simplify (- 0) into 0 8.926 * [backup-simplify]: Simplify (- 0) into 0 8.929 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.930 * [backup-simplify]: Simplify (- 0) into 0 8.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.938 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.941 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 8.943 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 8.945 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 8.950 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 8.952 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 8.956 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 8.959 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 8.965 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 8.972 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 8.973 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.974 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 8.974 * [backup-simplify]: Simplify (sqrt (- (/ 1 f) (/ 1 n))) into (sqrt (- (/ 1 f) (/ 1 n))) 8.974 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 8.974 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in n 8.974 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.974 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.974 * [taylor]: Taking taylor expansion of f in n 8.974 * [backup-simplify]: Simplify f into f 8.974 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.974 * [taylor]: Taking taylor expansion of n in n 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.975 * [backup-simplify]: Simplify (/ 1 1) into 1 8.975 * [backup-simplify]: Simplify (- 1) into -1 8.976 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.976 * [backup-simplify]: Simplify (sqrt 0) into 0 8.977 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.978 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 8.978 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.978 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.978 * [taylor]: Taking taylor expansion of f in f 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 1 into 1 8.978 * [backup-simplify]: Simplify (/ 1 1) into 1 8.978 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.978 * [taylor]: Taking taylor expansion of n in f 8.978 * [backup-simplify]: Simplify n into n 8.978 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.979 * [backup-simplify]: Simplify (+ 1 0) into 1 8.979 * [backup-simplify]: Simplify (sqrt 0) into 0 8.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.980 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 8.980 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.981 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.981 * [taylor]: Taking taylor expansion of f in f 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (/ 1 1) into 1 8.981 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.981 * [taylor]: Taking taylor expansion of n in f 8.981 * [backup-simplify]: Simplify n into n 8.981 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.982 * [backup-simplify]: Simplify (+ 1 0) into 1 8.982 * [backup-simplify]: Simplify (sqrt 0) into 0 8.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.983 * [taylor]: Taking taylor expansion of 0 in n 8.983 * [backup-simplify]: Simplify 0 into 0 8.984 * [taylor]: Taking taylor expansion of +nan.0 in n 8.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.985 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.986 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 8.986 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 8.986 * [taylor]: Taking taylor expansion of +nan.0 in n 8.986 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.986 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 8.986 * [taylor]: Taking taylor expansion of +nan.0 in n 8.986 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.986 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.986 * [taylor]: Taking taylor expansion of n in n 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.987 * [backup-simplify]: Simplify (/ 1 1) into 1 8.987 * [backup-simplify]: Simplify (+ 0 1) into 1 8.988 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.988 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.989 * [backup-simplify]: Simplify (- 0) into 0 8.990 * [backup-simplify]: Simplify (+ 0 0) into 0 8.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 8.995 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 8.995 * [taylor]: Taking taylor expansion of +nan.0 in n 8.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.995 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 8.995 * [taylor]: Taking taylor expansion of +nan.0 in n 8.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.995 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 8.995 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 8.995 * [taylor]: Taking taylor expansion of +nan.0 in n 8.995 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.995 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.995 * [taylor]: Taking taylor expansion of n in n 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.996 * [backup-simplify]: Simplify (/ 1 1) into 1 8.996 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.996 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.997 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 8.997 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 8.997 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.998 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 8.998 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (/ 1 n) (/ 1 f))) 8.998 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.998 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in n 8.998 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.998 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.998 * [taylor]: Taking taylor expansion of n in n 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 1 into 1 8.998 * [backup-simplify]: Simplify (/ 1 1) into 1 8.998 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.998 * [taylor]: Taking taylor expansion of f in n 8.998 * [backup-simplify]: Simplify f into f 8.998 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.999 * [backup-simplify]: Simplify (+ 1 0) into 1 8.999 * [backup-simplify]: Simplify (sqrt 0) into 0 9.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.000 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 9.000 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.000 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.000 * [taylor]: Taking taylor expansion of n in f 9.000 * [backup-simplify]: Simplify n into n 9.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.000 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.000 * [taylor]: Taking taylor expansion of f in f 9.000 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (/ 1 1) into 1 9.000 * [backup-simplify]: Simplify (- 1) into -1 9.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.001 * [backup-simplify]: Simplify (sqrt 0) into 0 9.002 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.002 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 9.002 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.002 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.002 * [taylor]: Taking taylor expansion of n in f 9.002 * [backup-simplify]: Simplify n into n 9.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.002 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.002 * [taylor]: Taking taylor expansion of f in f 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [backup-simplify]: Simplify (/ 1 1) into 1 9.002 * [backup-simplify]: Simplify (- 1) into -1 9.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.003 * [backup-simplify]: Simplify (sqrt 0) into 0 9.003 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.004 * [taylor]: Taking taylor expansion of 0 in n 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of +nan.0 in n 9.004 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify (- 0) into 0 9.004 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.005 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 9.005 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 9.005 * [taylor]: Taking taylor expansion of +nan.0 in n 9.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.005 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 9.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.005 * [taylor]: Taking taylor expansion of n in n 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [taylor]: Taking taylor expansion of +nan.0 in n 9.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.006 * [backup-simplify]: Simplify (+ 1 0) into 1 9.007 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (- 0) into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 9.008 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 9.008 * [taylor]: Taking taylor expansion of +nan.0 in n 9.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.008 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 9.008 * [taylor]: Taking taylor expansion of +nan.0 in n 9.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.008 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 9.008 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 9.008 * [taylor]: Taking taylor expansion of +nan.0 in n 9.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.008 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.008 * [taylor]: Taking taylor expansion of n in n 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.009 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.010 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.010 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 9.010 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.011 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 9.011 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 9.011 * [backup-simplify]: Simplify (sqrt (- f n)) into (sqrt (- f n)) 9.011 * [approximate]: Taking taylor expansion of (sqrt (- f n)) in (f n) around 0 9.011 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in n 9.011 * [taylor]: Taking taylor expansion of (- f n) in n 9.011 * [taylor]: Taking taylor expansion of f in n 9.011 * [backup-simplify]: Simplify f into f 9.011 * [taylor]: Taking taylor expansion of n in n 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (- 0) into 0 9.011 * [backup-simplify]: Simplify (+ f 0) into f 9.011 * [backup-simplify]: Simplify (sqrt f) into (sqrt f) 9.012 * [backup-simplify]: Simplify (- 1) into -1 9.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.012 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt f))) into (* -1/2 (sqrt (/ 1 f))) 9.012 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 9.012 * [taylor]: Taking taylor expansion of (- f n) in f 9.012 * [taylor]: Taking taylor expansion of f in f 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [taylor]: Taking taylor expansion of n in f 9.012 * [backup-simplify]: Simplify n into n 9.012 * [backup-simplify]: Simplify (- n) into (- n) 9.012 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.012 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 9.012 * [backup-simplify]: Simplify (- 0) into 0 9.013 * [backup-simplify]: Simplify (+ 1 0) into 1 9.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 9.013 * [taylor]: Taking taylor expansion of (sqrt (- f n)) in f 9.013 * [taylor]: Taking taylor expansion of (- f n) in f 9.013 * [taylor]: Taking taylor expansion of f in f 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 1 into 1 9.013 * [taylor]: Taking taylor expansion of n in f 9.013 * [backup-simplify]: Simplify n into n 9.013 * [backup-simplify]: Simplify (- n) into (- n) 9.013 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 9.013 * [backup-simplify]: Simplify (sqrt (- n)) into (sqrt (- n)) 9.013 * [backup-simplify]: Simplify (- 0) into 0 9.014 * [backup-simplify]: Simplify (+ 1 0) into 1 9.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- n)))) into (/ 1/2 (sqrt (- n))) 9.014 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 9.014 * [taylor]: Taking taylor expansion of (- n) in n 9.014 * [taylor]: Taking taylor expansion of n in n 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.014 * [backup-simplify]: Simplify (- 0) into 0 9.014 * [backup-simplify]: Simplify (- 1) into -1 9.015 * [backup-simplify]: Simplify (sqrt 0) into 0 9.015 * [backup-simplify]: Simplify (- 1) into -1 9.016 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- n))) in n 9.016 * [taylor]: Taking taylor expansion of 1/2 in n 9.016 * [backup-simplify]: Simplify 1/2 into 1/2 9.016 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 9.016 * [taylor]: Taking taylor expansion of (- n) in n 9.016 * [taylor]: Taking taylor expansion of n in n 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [backup-simplify]: Simplify (- 0) into 0 9.017 * [backup-simplify]: Simplify (- 1) into -1 9.017 * [backup-simplify]: Simplify (sqrt 0) into 0 9.017 * [backup-simplify]: Simplify (- 1) into -1 9.018 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.018 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 9.018 * [backup-simplify]: Simplify (- 0) into 0 9.020 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.023 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.023 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.024 * [backup-simplify]: Simplify (- 0) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- n))) 2) (+)) (* 2 (sqrt (- n)))) into (/ -1/8 (pow (sqrt (- n)) 3)) 9.025 * [taylor]: Taking taylor expansion of (/ -1/8 (pow (sqrt (- n)) 3)) in n 9.025 * [taylor]: Taking taylor expansion of -1/8 in n 9.025 * [backup-simplify]: Simplify -1/8 into -1/8 9.025 * [taylor]: Taking taylor expansion of (pow (sqrt (- n)) 3) in n 9.025 * [taylor]: Taking taylor expansion of (sqrt (- n)) in n 9.025 * [taylor]: Taking taylor expansion of (- n) in n 9.025 * [taylor]: Taking taylor expansion of n in n 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (- 0) into 0 9.026 * [backup-simplify]: Simplify (- 1) into -1 9.026 * [backup-simplify]: Simplify (sqrt 0) into 0 9.027 * [backup-simplify]: Simplify (- 1) into -1 9.028 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.028 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.029 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.029 * [backup-simplify]: Simplify (/ -1/8 +nan.0) into +nan.0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.034 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.034 * [backup-simplify]: Simplify (- 0) into 0 9.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.043 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.045 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)))) into (- +nan.0) 9.046 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 9.047 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 9.050 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.051 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.053 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.055 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.058 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.062 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.063 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 f) 2)) (+ (* +nan.0 (* n 1)) (* (- +nan.0) (* 1 f)))) into (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) 9.063 * [backup-simplify]: Simplify (sqrt (- (/ 1 f) (/ 1 n))) into (sqrt (- (/ 1 f) (/ 1 n))) 9.063 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in (f n) around 0 9.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in n 9.063 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 9.063 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.063 * [taylor]: Taking taylor expansion of f in n 9.063 * [backup-simplify]: Simplify f into f 9.063 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.063 * [taylor]: Taking taylor expansion of n in n 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.064 * [backup-simplify]: Simplify (/ 1 1) into 1 9.064 * [backup-simplify]: Simplify (- 1) into -1 9.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.064 * [backup-simplify]: Simplify (sqrt 0) into 0 9.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 9.065 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.065 * [taylor]: Taking taylor expansion of f in f 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 1 into 1 9.066 * [backup-simplify]: Simplify (/ 1 1) into 1 9.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.066 * [taylor]: Taking taylor expansion of n in f 9.066 * [backup-simplify]: Simplify n into n 9.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.066 * [backup-simplify]: Simplify (+ 1 0) into 1 9.066 * [backup-simplify]: Simplify (sqrt 0) into 0 9.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.067 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 f) (/ 1 n))) in f 9.067 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 9.067 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.067 * [taylor]: Taking taylor expansion of f in f 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [backup-simplify]: Simplify (/ 1 1) into 1 9.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.067 * [taylor]: Taking taylor expansion of n in f 9.067 * [backup-simplify]: Simplify n into n 9.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.068 * [backup-simplify]: Simplify (+ 1 0) into 1 9.068 * [backup-simplify]: Simplify (sqrt 0) into 0 9.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.069 * [taylor]: Taking taylor expansion of 0 in n 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [taylor]: Taking taylor expansion of +nan.0 in n 9.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 9.070 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 9.070 * [backup-simplify]: Simplify (/ (- (- (/ 1 n)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ +nan.0 (/ 1 n))) 9.070 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (/ 1 n))) in n 9.070 * [taylor]: Taking taylor expansion of +nan.0 in n 9.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.070 * [taylor]: Taking taylor expansion of (+ +nan.0 (/ 1 n)) in n 9.070 * [taylor]: Taking taylor expansion of +nan.0 in n 9.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.070 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.070 * [taylor]: Taking taylor expansion of n in n 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (/ 1 1) into 1 9.071 * [backup-simplify]: Simplify (+ 0 1) into 1 9.071 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.071 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.072 * [backup-simplify]: Simplify (- 0) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ +nan.0 (/ 1 n))))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 9.073 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 9.073 * [taylor]: Taking taylor expansion of +nan.0 in n 9.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.073 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 9.073 * [taylor]: Taking taylor expansion of +nan.0 in n 9.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.073 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 9.073 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 9.073 * [taylor]: Taking taylor expansion of +nan.0 in n 9.073 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.073 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.073 * [taylor]: Taking taylor expansion of n in n 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [backup-simplify]: Simplify (/ 1 1) into 1 9.074 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.074 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.075 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 9.075 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.075 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 n)) (pow (/ 1 f) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 n)) (/ 1 f))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 9.075 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- f)) (/ 1 (- n)))) into (sqrt (- (/ 1 n) (/ 1 f))) 9.075 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in (f n) around 0 9.075 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in n 9.075 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 9.075 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.075 * [taylor]: Taking taylor expansion of n in n 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (/ 1 1) into 1 9.076 * [taylor]: Taking taylor expansion of (/ 1 f) in n 9.076 * [taylor]: Taking taylor expansion of f in n 9.076 * [backup-simplify]: Simplify f into f 9.076 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 9.076 * [backup-simplify]: Simplify (+ 1 0) into 1 9.076 * [backup-simplify]: Simplify (sqrt 0) into 0 9.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.077 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 9.077 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.077 * [taylor]: Taking taylor expansion of n in f 9.077 * [backup-simplify]: Simplify n into n 9.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.077 * [taylor]: Taking taylor expansion of f in f 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (/ 1 1) into 1 9.078 * [backup-simplify]: Simplify (- 1) into -1 9.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.078 * [backup-simplify]: Simplify (sqrt 0) into 0 9.079 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.079 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 n) (/ 1 f))) in f 9.079 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 9.079 * [taylor]: Taking taylor expansion of (/ 1 n) in f 9.079 * [taylor]: Taking taylor expansion of n in f 9.079 * [backup-simplify]: Simplify n into n 9.079 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.079 * [taylor]: Taking taylor expansion of (/ 1 f) in f 9.079 * [taylor]: Taking taylor expansion of f in f 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 1 into 1 9.079 * [backup-simplify]: Simplify (/ 1 1) into 1 9.080 * [backup-simplify]: Simplify (- 1) into -1 9.080 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.080 * [backup-simplify]: Simplify (sqrt 0) into 0 9.081 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.081 * [taylor]: Taking taylor expansion of 0 in n 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [taylor]: Taking taylor expansion of +nan.0 in n 9.081 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.081 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (- 0) into 0 9.082 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 9.083 * [backup-simplify]: Simplify (/ (- (/ 1 n) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 n) +nan.0)) 9.083 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 n) +nan.0)) in n 9.083 * [taylor]: Taking taylor expansion of +nan.0 in n 9.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.083 * [taylor]: Taking taylor expansion of (- (/ 1 n) +nan.0) in n 9.083 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.083 * [taylor]: Taking taylor expansion of n in n 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [backup-simplify]: Simplify (/ 1 1) into 1 9.083 * [taylor]: Taking taylor expansion of +nan.0 in n 9.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.083 * [backup-simplify]: Simplify (+ 1 0) into 1 9.084 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.085 * [backup-simplify]: Simplify (- 0) into 0 9.085 * [backup-simplify]: Simplify (+ 0 0) into 0 9.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 n) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) 9.085 * [taylor]: Taking taylor expansion of (* +nan.0 (+ +nan.0 (- (* +nan.0 (/ 1 n))))) in n 9.085 * [taylor]: Taking taylor expansion of +nan.0 in n 9.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.085 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 n)))) in n 9.085 * [taylor]: Taking taylor expansion of +nan.0 in n 9.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 n))) in n 9.085 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 n)) in n 9.085 * [taylor]: Taking taylor expansion of +nan.0 in n 9.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.086 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.086 * [taylor]: Taking taylor expansion of n in n 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [backup-simplify]: Simplify (/ 1 1) into 1 9.086 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 9.087 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.088 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 9.089 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 9.089 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.089 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- n))) (pow (/ 1 (- f)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- n))) (/ 1 (- f)))))) into (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 9.089 * * * [progress]: simplifying candidates 9.110 * [simplify]: Simplifying: (expm1 (/ (+ f n) (sqrt (- f n)))) (log1p (/ (+ f n) (sqrt (- f n)))) (- (log (+ f n)) (log (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (exp (/ (+ f n) (sqrt (- f n)))) (/ (* (* (+ f n) (+ f n)) (+ f n)) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n)))) (* (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (- (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1)) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ (sqrt f) (sqrt n)))) (/ (cbrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt 1)) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (sqrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (sqrt (+ f n)) (sqrt (cbrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt 1)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (+ (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (sqrt (- (sqrt f) (sqrt n)))) (/ (sqrt (+ f n)) (sqrt 1)) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) (sqrt (sqrt (- f n)))) (/ (sqrt (+ f n)) 1) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 1) (/ (+ f n) (sqrt (- f n))) (/ 1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (cbrt (sqrt (- f n)))) (/ 1 (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (cbrt (- f n)))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt (- (sqrt f) (sqrt n)))) (/ 1 (sqrt 1)) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ 1 1) (/ (+ f n) (sqrt (- f n))) (/ 1 (sqrt (- f n))) (/ (sqrt (- f n)) (+ f n)) (/ (+ f n) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ (+ f n) (sqrt 1)) (/ (+ f n) (sqrt (+ (sqrt f) (sqrt n)))) (/ (+ f n) (sqrt 1)) (/ (+ f n) (sqrt (sqrt (- f n)))) (/ (+ f n) 1) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (+ f n)) (/ (+ f n) (sqrt (- (pow f 3) (pow n 3)))) (/ (+ f n) (sqrt (- (* f f) (* n n)))) (* (sqrt (- f n)) (+ (* f f) (- (* n n) (* f n)))) (* (sqrt (- f n)) (- f n)) (expm1 (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (log1p (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (- (- (log (+ f n)) (log (sqrt (- f n)))) (log (sqrt (- f n)))) (- (log (/ (+ f n) (sqrt (- f n)))) (log (sqrt (- f n)))) (log (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (exp (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (/ (/ (* (* (+ f n) (+ f n)) (+ 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))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n)))) (* (cbrt (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (cbrt (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n))))) (cbrt (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (* (* (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n))) (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (sqrt (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (sqrt (/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))) (- (/ (+ f n) (sqrt (- f n)))) (- (sqrt (- f n))) (/ (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (sqrt (- f n)))) (/ (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))) (/ (cbrt (/ (+ f n) (sqrt (- f n)))) (sqrt (cbrt (- f n)))) (/ (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (sqrt (sqrt (- f n)))) (/ (cbrt (/ (+ f n) (sqrt (- f n)))) (sqrt (sqrt (- f n)))) (/ (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (sqrt 1)) (/ (cbrt (/ (+ f n) (sqrt (- f 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n) (* f n)))) (sqrt (- (* f f) (* n n))) (sqrt (+ f n)) (/ 1 2) (sqrt (sqrt (- f n))) (sqrt (sqrt (- f n))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) -1 1 1 (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (pow f 2)) (- (+ (* +nan.0 n) (- (* +nan.0 f)))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) (- (+ (* +nan.0 (/ n (pow f 2))) (- (+ (* +nan.0 (/ n f)) (- +nan.0))))) 9.130 * * [simplify]: Extracting # 0 : cost 345 inf + 0 9.131 * * [simplify]: Extracting # 1 : cost 359 inf + 205 9.133 * * [simplify]: Extracting # 2 : cost 369 inf + 610 9.137 * * [simplify]: Extracting # 3 : cost 296 inf + 16160 9.148 * * [simplify]: Extracting # 4 : cost 146 inf + 63640 9.157 * * [simplify]: Extracting # 5 : cost 79 inf + 89817 9.167 * * [simplify]: Extracting # 6 : cost 18 inf + 115105 9.177 * * [simplify]: Extracting # 7 : cost 6 inf + 120639 9.198 * * [simplify]: Extracting # 8 : cost 2 inf + 122153 9.221 * * [simplify]: Extracting # 9 : cost 1 inf + 122647 9.242 * * [simplify]: Extracting # 10 : cost 0 inf + 123181 9.252 * * [simplify]: iteration 0 : 392 enodes (cost 253845 ) 9.369 * * [simplify]: Extracting # 0 : cost 0 inf + 123181 9.396 * * [simplify]: Extracting # 1 : cost 173 inf + 94563 9.431 * * [simplify]: Extracting # 2 : cost 3 inf + 133918 9.465 * * [simplify]: Extracting # 3 : cost 0 inf + 132423 9.500 * * [simplify]: iteration 1 : 945 enodes (cost 224597 ) 9.947 * * [simplify]: Extracting # 0 : cost 0 inf + 132423 9.995 * * [simplify]: Extracting # 1 : cost 1710 inf + 114419 10.138 * * [simplify]: Extracting # 2 : cost 3 inf + 526224 10.259 * * [simplify]: Extracting # 3 : cost 0 inf + 526529 10.385 * * [simplify]: iteration 2 : 4927 enodes (cost 220436 ) 11.492 * * [simplify]: Extracting # 0 : cost 0 inf + 526529 11.620 * * [simplify]: Extracting # 1 : cost 0 inf + 526479 11.750 * * [simplify]: iteration done: 5000 enodes (cost 220211 ) 11.757 * [simplify]: Simplified to: (expm1 (/ (+ f n) (sqrt (- f n)))) (log1p (/ (+ f n) (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (log (/ (+ f n) (sqrt (- f n)))) (exp (/ (+ f n) (sqrt (- f n)))) (/ (/ (* (* (+ f n) (+ f n)) (+ f n)) (- f n)) (sqrt (- f n))) (* (cbrt (/ (+ f n) (sqrt (- f n)))) (cbrt (/ (+ f n) (sqrt (- f n))))) (cbrt (/ (+ f n) (sqrt (- f n)))) (* (* (/ (+ f n) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n)))) (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (sqrt (/ (+ f n) (sqrt (- f n)))) (- (+ f n)) (- (sqrt (- f n))) (* (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n))))) (/ (cbrt (+ f n)) (cbrt (sqrt (- f n)))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (fabs (cbrt (- f 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table 13.459 * [progress]: [Phase 3 of 3] Extracting. 13.459 * * [regime]: Finding splitpoints for: (# # # #) 13.460 * * * [regime-changes]: Trying 2 branch expressions: (n f) 13.461 * * * * [regimes]: Trying to branch on n from (# # # #) 13.506 * * * * [regimes]: Trying to branch on f from (# # # #) 13.552 * * * [regime]: Found split indices: #