0.557 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.074 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.075 * * [simplify]: Extracting # 0 : cost 0 0.076 * * [simplify]: Extracting # 1 : cost 0 0.076 * * [simplify]: Extracting # 2 : cost 0 0.076 * * [simplify]: Extracting # 3 : cost 0 0.076 * * [simplify]: Extracting # 4 : cost 0 0.076 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: iteration 1 : 13 enodes (cost 8 ) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: Extracting # 1 : cost 0 0.091 * * [simplify]: Extracting # 2 : cost 0 0.092 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: Extracting # 1 : cost 0 0.098 * * [simplify]: Extracting # 2 : cost 0 0.098 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.106 * * [simplify]: Extracting # 2 : cost 0 0.106 * * [simplify]: iteration 5 : 29 enodes (cost 8 ) 0.115 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: iteration 6 : 31 enodes (cost 8 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.125 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.164 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.165 * * [progress]: iteration 1 / 4 0.166 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.247 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.247 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.248 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.248 * [taylor]: Taking taylor expansion of -1 in n 0.248 * [backup-simplify]: Simplify -1 into -1 0.248 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.248 * [taylor]: Taking taylor expansion of (+ n f) in n 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 * [taylor]: Taking taylor expansion of f in n 0.248 * [backup-simplify]: Simplify f into f 0.249 * [taylor]: Taking taylor expansion of (- f n) in n 0.249 * [taylor]: Taking taylor expansion of f in n 0.249 * [backup-simplify]: Simplify f into f 0.249 * [taylor]: Taking taylor expansion of n in n 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ 0 f) into f 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ f 0) into f 0.250 * [backup-simplify]: Simplify (/ f f) 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 0.250 * [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 0.251 * [backup-simplify]: Simplify (* -1 -1) into 1 0.251 * [taylor]: Taking taylor expansion of 1 in n 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (+ 0 1) into 1 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.253 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.253 * [taylor]: Taking taylor expansion of 2 in n 0.253 * [backup-simplify]: Simplify 2 into 2 0.253 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.253 * [taylor]: Taking taylor expansion of n in n 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.257 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.257 * [taylor]: Taking taylor expansion of 2 in n 0.257 * [backup-simplify]: Simplify 2 into 2 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.257 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.257 * [taylor]: Taking taylor expansion of n in n 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [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)))) 0.276 * [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))) 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.276 * [taylor]: Taking taylor expansion of 2 in n 0.276 * [backup-simplify]: Simplify 2 into 2 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.276 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.276 * [taylor]: Taking taylor expansion of n in n 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.288 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.288 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.288 * [taylor]: Taking taylor expansion of -1 in n 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.288 * [taylor]: Taking taylor expansion of f in n 0.288 * [backup-simplify]: Simplify f into f 0.288 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.289 * [taylor]: Taking taylor expansion of f in n 0.289 * [backup-simplify]: Simplify f into f 0.289 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.289 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ 0 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.291 * [taylor]: Taking taylor expansion of -1 in f 0.291 * [backup-simplify]: Simplify -1 into -1 0.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.291 * [taylor]: Taking taylor expansion of f in f 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.292 * [taylor]: Taking taylor expansion of n in f 0.292 * [backup-simplify]: Simplify n into n 0.292 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.292 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.292 * [taylor]: Taking taylor expansion of f in f 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.293 * [taylor]: Taking taylor expansion of n in f 0.293 * [backup-simplify]: Simplify n into n 0.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.294 * [taylor]: Taking taylor expansion of -1 in f 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.294 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.294 * [taylor]: Taking taylor expansion of f in f 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.295 * [taylor]: Taking taylor expansion of n in f 0.295 * [backup-simplify]: Simplify n into n 0.295 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.295 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.295 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.296 * [taylor]: Taking taylor expansion of n in f 0.296 * [backup-simplify]: Simplify n into n 0.296 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (* -1 1) into -1 0.298 * [taylor]: Taking taylor expansion of -1 in n 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.299 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.300 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.300 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.300 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.300 * [taylor]: Taking taylor expansion of 2 in n 0.300 * [backup-simplify]: Simplify 2 into 2 0.300 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.308 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.308 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.308 * [taylor]: Taking taylor expansion of 2 in n 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.308 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [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))) 0.322 * [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)))) 0.322 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.322 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.322 * [taylor]: Taking taylor expansion of 2 in n 0.322 * [backup-simplify]: Simplify 2 into 2 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.322 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [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 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify -1 into -1 0.329 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.329 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.329 * [taylor]: Taking taylor expansion of f in n 0.329 * [backup-simplify]: Simplify f into f 0.329 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.329 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 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 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.331 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.331 * [taylor]: Taking taylor expansion of f in f 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 n) in f 0.331 * [taylor]: Taking taylor expansion of n in f 0.331 * [backup-simplify]: Simplify n into n 0.331 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.331 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.331 * [taylor]: Taking taylor expansion of n in f 0.331 * [backup-simplify]: Simplify n into n 0.332 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.332 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.332 * [taylor]: Taking taylor expansion of f in f 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.333 * [backup-simplify]: Simplify (+ 0 -1) 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 0.333 * [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 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 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.335 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.335 * [taylor]: Taking taylor expansion of -1 in n 0.335 * [backup-simplify]: Simplify -1 into -1 0.335 * [backup-simplify]: Simplify -1 into -1 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.336 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.336 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.336 * [taylor]: Taking taylor expansion of 2 in n 0.336 * [backup-simplify]: Simplify 2 into 2 0.336 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.340 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.340 * [taylor]: Taking taylor expansion of 2 in n 0.340 * [backup-simplify]: Simplify 2 into 2 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.340 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 0.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.348 * [taylor]: Taking taylor expansion of 2 in n 0.348 * [backup-simplify]: Simplify 2 into 2 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.348 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 into -1 0.354 * * * [progress]: simplifying candidates 0.356 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.358 * * [simplify]: Extracting # 0 : cost 0 0.358 * * [simplify]: Extracting # 1 : cost 0 0.359 * * [simplify]: Extracting # 2 : cost 0 0.359 * * [simplify]: Extracting # 3 : cost 0 0.359 * * [simplify]: Extracting # 4 : cost 0 0.359 * * [simplify]: Extracting # 5 : cost 0 0.359 * * [simplify]: Extracting # 6 : cost 0 0.359 * * [simplify]: Extracting # 7 : cost 0 0.360 * * [simplify]: iteration 0 : 133 enodes (cost 1451 ) 0.393 * * [simplify]: Extracting # 0 : cost 0 0.393 * * [simplify]: Extracting # 1 : cost 0 0.393 * * [simplify]: Extracting # 2 : cost 0 0.394 * * [simplify]: Extracting # 3 : cost 0 0.394 * * [simplify]: Extracting # 4 : cost 0 0.394 * * [simplify]: iteration 1 : 287 enodes (cost 1378 ) 0.502 * * [simplify]: Extracting # 0 : cost 0 0.503 * * [simplify]: Extracting # 1 : cost 0 0.509 * * [simplify]: Extracting # 2 : cost 0 0.510 * * [simplify]: Extracting # 3 : cost 0 0.511 * * [simplify]: Extracting # 4 : cost 0 0.511 * * [simplify]: iteration 2 : 690 enodes (cost 1348 ) 0.925 * * [simplify]: Extracting # 0 : cost 0 0.927 * * [simplify]: Extracting # 1 : cost 0 0.929 * * [simplify]: Extracting # 2 : cost 0 0.930 * * [simplify]: Extracting # 3 : cost 0 0.932 * * [simplify]: iteration 3 : 1825 enodes (cost 1340 ) 2.870 * * [simplify]: Extracting # 0 : cost 0 2.876 * * [simplify]: Extracting # 1 : cost 0 2.884 * * [simplify]: Extracting # 2 : cost 0 2.888 * * [simplify]: Extracting # 3 : cost 0 2.892 * * [simplify]: iteration 4 : 4716 enodes (cost 1340 ) 4.401 * * [simplify]: Extracting # 0 : cost 0 4.408 * * [simplify]: Extracting # 1 : cost 0 4.417 * * [simplify]: Extracting # 2 : cost 0 4.433 * * [simplify]: iteration done: 5001 enodes (cost 1340 ) 4.434 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (- f n) (+ (* n (- n f)) (* f f))) (* (- f n) (- f n)) 1 -1 -1 4.435 * * * [progress]: adding candidates to table 4.663 * * [progress]: iteration 2 / 4 4.663 * * * [progress]: picking best candidate 4.673 * * * * [pick]: Picked # 4.674 * * * [progress]: localizing error 4.695 * * * [progress]: generating rewritten candidates 4.695 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 4.750 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.835 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 4.934 * * * [progress]: generating series expansions 4.934 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 4.934 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 4.934 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 4.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.934 * [taylor]: Taking taylor expansion of -1 in n 4.934 * [backup-simplify]: Simplify -1 into -1 4.934 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.934 * [taylor]: Taking taylor expansion of (+ n f) in n 4.934 * [taylor]: Taking taylor expansion of n in n 4.934 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [taylor]: Taking taylor expansion of f in n 4.935 * [backup-simplify]: Simplify f into f 4.935 * [taylor]: Taking taylor expansion of (- f n) in n 4.935 * [taylor]: Taking taylor expansion of f in n 4.935 * [backup-simplify]: Simplify f into f 4.935 * [taylor]: Taking taylor expansion of n in n 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (+ 0 f) into f 4.935 * [backup-simplify]: Simplify (- 0) into 0 4.935 * [backup-simplify]: Simplify (+ f 0) into f 4.935 * [backup-simplify]: Simplify (/ f f) into 1 4.935 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.935 * [taylor]: Taking taylor expansion of -1 in f 4.935 * [backup-simplify]: Simplify -1 into -1 4.935 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.935 * [taylor]: Taking taylor expansion of (+ n f) in f 4.935 * [taylor]: Taking taylor expansion of n in f 4.935 * [backup-simplify]: Simplify n into n 4.935 * [taylor]: Taking taylor expansion of f in f 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [taylor]: Taking taylor expansion of (- f n) in f 4.935 * [taylor]: Taking taylor expansion of f in f 4.935 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [taylor]: Taking taylor expansion of n in f 4.936 * [backup-simplify]: Simplify n into n 4.936 * [backup-simplify]: Simplify (+ n 0) into n 4.936 * [backup-simplify]: Simplify (- n) into (- n) 4.936 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.936 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.936 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.936 * [taylor]: Taking taylor expansion of -1 in f 4.936 * [backup-simplify]: Simplify -1 into -1 4.936 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.936 * [taylor]: Taking taylor expansion of (+ n f) in f 4.936 * [taylor]: Taking taylor expansion of n in f 4.936 * [backup-simplify]: Simplify n into n 4.936 * [taylor]: Taking taylor expansion of f in f 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [taylor]: Taking taylor expansion of (- f n) in f 4.936 * [taylor]: Taking taylor expansion of f in f 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [taylor]: Taking taylor expansion of n in f 4.936 * [backup-simplify]: Simplify n into n 4.936 * [backup-simplify]: Simplify (+ n 0) into n 4.936 * [backup-simplify]: Simplify (- n) into (- n) 4.936 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.936 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.936 * [backup-simplify]: Simplify (* -1 -1) into 1 4.936 * [taylor]: Taking taylor expansion of 1 in n 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (+ 0 1) into 1 4.937 * [backup-simplify]: Simplify (- 0) into 0 4.937 * [backup-simplify]: Simplify (+ 1 0) into 1 4.937 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.938 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.938 * [taylor]: Taking taylor expansion of 2 in n 4.938 * [backup-simplify]: Simplify 2 into 2 4.938 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.938 * [taylor]: Taking taylor expansion of n in n 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify (+ 0 0) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.940 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.941 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.941 * [taylor]: Taking taylor expansion of 2 in n 4.941 * [backup-simplify]: Simplify 2 into 2 4.941 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.941 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.941 * [taylor]: Taking taylor expansion of n in n 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (* 1 1) into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (- 0) into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.947 * [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)))) 4.948 * [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))) 4.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.948 * [taylor]: Taking taylor expansion of 2 in n 4.948 * [backup-simplify]: Simplify 2 into 2 4.948 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.948 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.948 * [taylor]: Taking taylor expansion of n in n 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (/ 1 1) into 1 4.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 4.954 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 4.954 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.954 * [taylor]: Taking taylor expansion of -1 in n 4.954 * [backup-simplify]: Simplify -1 into -1 4.954 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.954 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.954 * [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 4.955 * [backup-simplify]: Simplify (/ 1 1) into 1 4.955 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 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 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.955 * [taylor]: Taking taylor expansion of n in n 4.955 * [backup-simplify]: Simplify 0 into 0 4.956 * [backup-simplify]: Simplify 1 into 1 4.956 * [backup-simplify]: Simplify (/ 1 1) into 1 4.956 * [backup-simplify]: Simplify (+ 0 1) into 1 4.957 * [backup-simplify]: Simplify (- 1) into -1 4.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.958 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.958 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.958 * [taylor]: Taking taylor expansion of -1 in f 4.958 * [backup-simplify]: Simplify -1 into -1 4.958 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.958 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 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 4.958 * [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 4.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.959 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.959 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.959 * [taylor]: Taking taylor expansion of f in f 4.959 * [backup-simplify]: Simplify 0 into 0 4.959 * [backup-simplify]: Simplify 1 into 1 4.959 * [backup-simplify]: Simplify (/ 1 1) into 1 4.959 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.959 * [taylor]: Taking taylor expansion of n in f 4.959 * [backup-simplify]: Simplify n into n 4.959 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.960 * [backup-simplify]: Simplify (+ 1 0) into 1 4.960 * [backup-simplify]: Simplify (+ 1 0) into 1 4.960 * [backup-simplify]: Simplify (/ 1 1) into 1 4.960 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.960 * [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 f) (/ 1 n))) 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 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 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.962 * [taylor]: Taking taylor expansion of n in f 4.962 * [backup-simplify]: Simplify n into n 4.962 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.962 * [backup-simplify]: Simplify (+ 1 0) into 1 4.963 * [backup-simplify]: Simplify (+ 1 0) into 1 4.963 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [backup-simplify]: Simplify (* -1 1) into -1 4.964 * [taylor]: Taking taylor expansion of -1 in n 4.964 * [backup-simplify]: Simplify -1 into -1 4.964 * [backup-simplify]: Simplify -1 into -1 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.966 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.966 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.966 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.966 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.967 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.967 * [taylor]: Taking taylor expansion of 2 in n 4.967 * [backup-simplify]: Simplify 2 into 2 4.967 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.967 * [taylor]: Taking taylor expansion of n in n 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 1 into 1 4.967 * [backup-simplify]: Simplify (/ 1 1) into 1 4.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.969 * [backup-simplify]: Simplify (- 0) into 0 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.971 * [backup-simplify]: Simplify (+ 0 0) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.972 * [backup-simplify]: Simplify (- 0) into 0 4.972 * [backup-simplify]: Simplify (+ 0 0) into 0 4.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.974 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.974 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.974 * [taylor]: Taking taylor expansion of 2 in n 4.974 * [backup-simplify]: Simplify 2 into 2 4.975 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.975 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.975 * [taylor]: Taking taylor expansion of n in n 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [backup-simplify]: Simplify (* 1 1) into 1 4.975 * [backup-simplify]: Simplify (/ 1 1) into 1 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.980 * [backup-simplify]: Simplify (- 0) into 0 4.980 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.989 * [backup-simplify]: Simplify (- 0) into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.990 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.992 * [backup-simplify]: Simplify (- 0) into 0 4.992 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [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))) 4.995 * [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)))) 4.995 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.995 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.995 * [taylor]: Taking taylor expansion of 2 in n 4.996 * [backup-simplify]: Simplify 2 into 2 4.996 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.996 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.996 * [taylor]: Taking taylor expansion of n in n 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify 1 into 1 4.996 * [backup-simplify]: Simplify (* 1 1) into 1 4.996 * [backup-simplify]: Simplify (* 1 1) into 1 4.997 * [backup-simplify]: Simplify (/ 1 1) into 1 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.001 * [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 (- (+ (* 1 (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (- 0) into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify -1 into -1 5.008 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.008 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.008 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.008 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.008 * [taylor]: Taking taylor expansion of f in n 5.008 * [backup-simplify]: Simplify f into f 5.008 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.008 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.008 * [taylor]: Taking taylor expansion of n in n 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ 1 1) into 1 5.008 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.008 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.008 * [taylor]: Taking taylor expansion of n in n 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ 1 1) into 1 5.009 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.009 * [taylor]: Taking taylor expansion of f in n 5.009 * [backup-simplify]: Simplify f into f 5.009 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.010 * [backup-simplify]: Simplify (+ 0 1) into 1 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.010 * [backup-simplify]: Simplify (/ 1 1) into 1 5.010 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.011 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.011 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.011 * [taylor]: Taking taylor expansion of f in f 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 5.011 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.011 * [taylor]: Taking taylor expansion of n in f 5.011 * [backup-simplify]: Simplify n into n 5.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.011 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.011 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.011 * [taylor]: Taking taylor expansion of n in f 5.011 * [backup-simplify]: Simplify n into n 5.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.011 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.011 * [taylor]: Taking taylor expansion of f in f 5.011 * [backup-simplify]: Simplify 0 into 0 5.012 * [backup-simplify]: Simplify 1 into 1 5.012 * [backup-simplify]: Simplify (/ 1 1) into 1 5.012 * [backup-simplify]: Simplify (+ 1 0) into 1 5.013 * [backup-simplify]: Simplify (- 1) into -1 5.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.014 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.014 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.014 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.014 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.014 * [taylor]: Taking taylor expansion of f in f 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (/ 1 1) into 1 5.014 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.014 * [taylor]: Taking taylor expansion of n in f 5.014 * [backup-simplify]: Simplify n into n 5.014 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.014 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.014 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.014 * [taylor]: Taking taylor expansion of n in f 5.015 * [backup-simplify]: Simplify n into n 5.015 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.015 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.015 * [taylor]: Taking taylor expansion of f in f 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 0) into 1 5.016 * [backup-simplify]: Simplify (- 1) into -1 5.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.017 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.017 * [taylor]: Taking taylor expansion of -1 in n 5.017 * [backup-simplify]: Simplify -1 into -1 5.017 * [backup-simplify]: Simplify -1 into -1 5.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.018 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.019 * [backup-simplify]: Simplify (- 0) into 0 5.019 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.019 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.019 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.019 * [taylor]: Taking taylor expansion of 2 in n 5.019 * [backup-simplify]: Simplify 2 into 2 5.019 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.019 * [taylor]: Taking taylor expansion of n in n 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [backup-simplify]: Simplify (/ 1 1) into 1 5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.021 * [backup-simplify]: Simplify (- 0) into 0 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.022 * [backup-simplify]: Simplify (+ 0 0) into 0 5.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (- 0) into 0 5.024 * [backup-simplify]: Simplify (+ 0 0) into 0 5.025 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.025 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.025 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.025 * [taylor]: Taking taylor expansion of 2 in n 5.025 * [backup-simplify]: Simplify 2 into 2 5.025 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.025 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.025 * [taylor]: Taking taylor expansion of n in n 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (* 1 1) into 1 5.026 * [backup-simplify]: Simplify (/ 1 1) into 1 5.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.030 * [backup-simplify]: Simplify (- 0) into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.032 * [backup-simplify]: Simplify (- 0) into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.033 * [backup-simplify]: Simplify (+ 0 0) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.035 * [backup-simplify]: Simplify (- 0) into 0 5.035 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [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)))) 5.037 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.037 * [taylor]: Taking taylor expansion of 2 in n 5.037 * [backup-simplify]: Simplify 2 into 2 5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.037 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.037 * [taylor]: Taking taylor expansion of n in n 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 5.038 * [backup-simplify]: Simplify (* 1 1) into 1 5.038 * [backup-simplify]: Simplify (/ 1 1) into 1 5.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.046 * [backup-simplify]: Simplify (- 0) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify -1 into -1 5.046 * * * * [progress]: [ 2 / 3 ] generating series at (2) 5.047 * [backup-simplify]: Simplify (log (exp (/ (- (+ f n)) (- f n)))) into (* -1 (/ (+ n f) (- f n))) 5.047 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 5.047 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.047 * [taylor]: Taking taylor expansion of -1 in n 5.047 * [backup-simplify]: Simplify -1 into -1 5.047 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.047 * [taylor]: Taking taylor expansion of (+ n f) in n 5.047 * [taylor]: Taking taylor expansion of n in n 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [taylor]: Taking taylor expansion of f in n 5.047 * [backup-simplify]: Simplify f into f 5.047 * [taylor]: Taking taylor expansion of (- f n) in n 5.047 * [taylor]: Taking taylor expansion of f in n 5.047 * [backup-simplify]: Simplify f into f 5.047 * [taylor]: Taking taylor expansion of n in n 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (+ 0 f) into f 5.048 * [backup-simplify]: Simplify (- 0) into 0 5.048 * [backup-simplify]: Simplify (+ f 0) into f 5.048 * [backup-simplify]: Simplify (/ f f) into 1 5.048 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.048 * [taylor]: Taking taylor expansion of -1 in f 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.048 * [taylor]: Taking taylor expansion of (+ n f) in f 5.048 * [taylor]: Taking taylor expansion of n in f 5.048 * [backup-simplify]: Simplify n into n 5.048 * [taylor]: Taking taylor expansion of f in f 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of (- f n) in f 5.048 * [taylor]: Taking taylor expansion of f in f 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [taylor]: Taking taylor expansion of n in f 5.048 * [backup-simplify]: Simplify n into n 5.048 * [backup-simplify]: Simplify (+ n 0) into n 5.048 * [backup-simplify]: Simplify (- n) into (- n) 5.048 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.048 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.048 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.048 * [taylor]: Taking taylor expansion of -1 in f 5.048 * [backup-simplify]: Simplify -1 into -1 5.048 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.048 * [taylor]: Taking taylor expansion of (+ n f) in f 5.048 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [taylor]: Taking taylor expansion of (- f n) in f 5.049 * [taylor]: Taking taylor expansion of f in f 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [taylor]: Taking taylor expansion of n in f 5.049 * [backup-simplify]: Simplify n into n 5.049 * [backup-simplify]: Simplify (+ n 0) into n 5.049 * [backup-simplify]: Simplify (- n) into (- n) 5.049 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.049 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.049 * [backup-simplify]: Simplify (* -1 -1) into 1 5.049 * [taylor]: Taking taylor expansion of 1 in n 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify 1 into 1 5.050 * [backup-simplify]: Simplify (+ 0 1) into 1 5.050 * [backup-simplify]: Simplify (- 0) into 0 5.051 * [backup-simplify]: Simplify (+ 1 0) into 1 5.051 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.051 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.051 * [taylor]: Taking taylor expansion of 2 in n 5.051 * [backup-simplify]: Simplify 2 into 2 5.051 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.051 * [taylor]: Taking taylor expansion of n in n 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.054 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.055 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.055 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.055 * [taylor]: Taking taylor expansion of 2 in n 5.056 * [backup-simplify]: Simplify 2 into 2 5.056 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.056 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.056 * [taylor]: Taking taylor expansion of n in n 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [backup-simplify]: Simplify (* 1 1) into 1 5.056 * [backup-simplify]: Simplify (/ 1 1) into 1 5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.060 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify (+ 0 0) into 0 5.062 * [backup-simplify]: Simplify (- 0) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [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)))) 5.065 * [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))) 5.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.065 * [taylor]: Taking taylor expansion of 2 in n 5.065 * [backup-simplify]: Simplify 2 into 2 5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.065 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.065 * [taylor]: Taking taylor expansion of n in n 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (* 1 1) into 1 5.066 * [backup-simplify]: Simplify (* 1 1) into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 5.074 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 5.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.074 * [taylor]: Taking taylor expansion of -1 in n 5.074 * [backup-simplify]: Simplify -1 into -1 5.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.074 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.074 * [taylor]: Taking taylor expansion of f in n 5.074 * [backup-simplify]: Simplify f into f 5.074 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.074 * [taylor]: Taking taylor expansion of n in n 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ 1 1) into 1 5.074 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.074 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.074 * [taylor]: Taking taylor expansion of f in n 5.075 * [backup-simplify]: Simplify f into f 5.075 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.075 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.075 * [taylor]: Taking taylor expansion of n in n 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ 1 1) into 1 5.075 * [backup-simplify]: Simplify (+ 0 1) into 1 5.075 * [backup-simplify]: Simplify (- 1) into -1 5.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.076 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.076 * [taylor]: Taking taylor expansion of -1 in f 5.076 * [backup-simplify]: Simplify -1 into -1 5.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.076 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.076 * [taylor]: Taking taylor expansion of f in f 5.076 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify 1 into 1 5.076 * [backup-simplify]: Simplify (/ 1 1) into 1 5.076 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.076 * [taylor]: Taking taylor expansion of n in f 5.076 * [backup-simplify]: Simplify n into n 5.076 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.076 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.076 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.076 * [taylor]: Taking taylor expansion of f in f 5.076 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [backup-simplify]: Simplify (/ 1 1) into 1 5.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.077 * [taylor]: Taking taylor expansion of n in f 5.077 * [backup-simplify]: Simplify n into n 5.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.077 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (+ 1 0) into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.078 * [taylor]: Taking taylor expansion of -1 in f 5.078 * [backup-simplify]: Simplify -1 into -1 5.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.078 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.078 * [taylor]: Taking taylor expansion of f in f 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.078 * [taylor]: Taking taylor expansion of n in f 5.078 * [backup-simplify]: Simplify n into n 5.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.078 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.078 * [taylor]: Taking taylor expansion of f in f 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (/ 1 1) into 1 5.078 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.078 * [taylor]: Taking taylor expansion of n in f 5.079 * [backup-simplify]: Simplify n into n 5.079 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.079 * [backup-simplify]: Simplify (+ 1 0) into 1 5.079 * [backup-simplify]: Simplify (+ 1 0) into 1 5.079 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [backup-simplify]: Simplify (* -1 1) into -1 5.080 * [taylor]: Taking taylor expansion of -1 in n 5.080 * [backup-simplify]: Simplify -1 into -1 5.080 * [backup-simplify]: Simplify -1 into -1 5.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.080 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.081 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.081 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.081 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.081 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.081 * [taylor]: Taking taylor expansion of 2 in n 5.081 * [backup-simplify]: Simplify 2 into 2 5.081 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.081 * [taylor]: Taking taylor expansion of n in n 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (/ 1 1) into 1 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.083 * [backup-simplify]: Simplify (- 0) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.084 * [backup-simplify]: Simplify (- 0) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.086 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.086 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.086 * [taylor]: Taking taylor expansion of 2 in n 5.086 * [backup-simplify]: Simplify 2 into 2 5.086 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.086 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.086 * [taylor]: Taking taylor expansion of n in n 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify (* 1 1) into 1 5.087 * [backup-simplify]: Simplify (/ 1 1) into 1 5.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.089 * [backup-simplify]: Simplify (- 0) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.091 * [backup-simplify]: Simplify (- 0) into 0 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.092 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.093 * [backup-simplify]: Simplify (- 0) into 0 5.093 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [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))) 5.094 * [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)))) 5.094 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.095 * [taylor]: Taking taylor expansion of 2 in n 5.095 * [backup-simplify]: Simplify 2 into 2 5.095 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.095 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.095 * [taylor]: Taking taylor expansion of n in n 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (* 1 1) into 1 5.095 * [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 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.101 * [backup-simplify]: Simplify (- 0) into 0 5.101 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify -1 into -1 5.102 * [backup-simplify]: Simplify (log (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 5.102 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 5.102 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.102 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.102 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.102 * [taylor]: Taking taylor expansion of f in n 5.102 * [backup-simplify]: Simplify f into f 5.102 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.102 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.102 * [taylor]: Taking taylor expansion of n in n 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (/ 1 1) into 1 5.102 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.102 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.102 * [taylor]: Taking taylor expansion of n in n 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.103 * [taylor]: Taking taylor expansion of f in n 5.103 * [backup-simplify]: Simplify f into f 5.103 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.104 * [backup-simplify]: Simplify (+ 0 1) into 1 5.104 * [backup-simplify]: Simplify (+ 1 0) into 1 5.104 * [backup-simplify]: Simplify (/ 1 1) into 1 5.104 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.104 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.104 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.104 * [taylor]: Taking taylor expansion of f in f 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.105 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.105 * [taylor]: Taking taylor expansion of n in f 5.105 * [backup-simplify]: Simplify n into n 5.105 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.105 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.105 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.105 * [taylor]: Taking taylor expansion of n in f 5.105 * [backup-simplify]: Simplify n into n 5.105 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.105 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.105 * [taylor]: Taking taylor expansion of f in f 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (/ 1 1) into 1 5.105 * [backup-simplify]: Simplify (+ 1 0) into 1 5.106 * [backup-simplify]: Simplify (- 1) into -1 5.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.106 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.106 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.106 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.106 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.106 * [taylor]: Taking taylor expansion of f in f 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [backup-simplify]: Simplify (/ 1 1) into 1 5.106 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.106 * [taylor]: Taking taylor expansion of n in f 5.106 * [backup-simplify]: Simplify n into n 5.107 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.107 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.107 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.107 * [taylor]: Taking taylor expansion of n in f 5.107 * [backup-simplify]: Simplify n into n 5.107 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.107 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.107 * [taylor]: Taking taylor expansion of f in f 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [backup-simplify]: Simplify (+ 1 0) into 1 5.107 * [backup-simplify]: Simplify (- 1) into -1 5.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.108 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.108 * [taylor]: Taking taylor expansion of -1 in n 5.108 * [backup-simplify]: Simplify -1 into -1 5.108 * [backup-simplify]: Simplify -1 into -1 5.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.112 * [backup-simplify]: Simplify (- 0) into 0 5.113 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.113 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.113 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 5.113 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 5.113 * [taylor]: Taking taylor expansion of 2 in n 5.113 * [backup-simplify]: Simplify 2 into 2 5.113 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.113 * [taylor]: Taking taylor expansion of n in n 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [backup-simplify]: Simplify (/ 1 1) into 1 5.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.115 * [backup-simplify]: Simplify (- 0) into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify (- 0) into 0 5.117 * [backup-simplify]: Simplify (+ 0 0) into 0 5.117 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 5.117 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 5.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 5.117 * [taylor]: Taking taylor expansion of 2 in n 5.117 * [backup-simplify]: Simplify 2 into 2 5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.117 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.117 * [taylor]: Taking taylor expansion of n in n 5.117 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (/ 1 1) into 1 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.121 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.121 * [backup-simplify]: Simplify (- 0) into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.122 * [backup-simplify]: Simplify (- 0) into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.123 * [backup-simplify]: Simplify (+ 0 0) into 0 5.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.124 * [backup-simplify]: Simplify (- 0) into 0 5.124 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [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)))) 5.126 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 5.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 5.126 * [taylor]: Taking taylor expansion of 2 in n 5.126 * [backup-simplify]: Simplify 2 into 2 5.126 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 5.126 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.126 * [taylor]: Taking taylor expansion of n in n 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (* 1 1) into 1 5.126 * [backup-simplify]: Simplify (* 1 1) into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (- 0) into 0 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify -1 into -1 5.132 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.132 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 5.132 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 5.132 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 5.132 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 5.132 * [taylor]: Taking taylor expansion of -1 in n 5.132 * [backup-simplify]: Simplify -1 into -1 5.132 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 5.132 * [taylor]: Taking taylor expansion of (+ n f) 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 * [taylor]: Taking taylor expansion of f in n 5.132 * [backup-simplify]: Simplify f into f 5.132 * [taylor]: Taking taylor expansion of (- f n) in n 5.132 * [taylor]: Taking taylor expansion of f in n 5.132 * [backup-simplify]: Simplify f into f 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 (+ 0 f) into f 5.133 * [backup-simplify]: Simplify (- 0) into 0 5.133 * [backup-simplify]: Simplify (+ f 0) into f 5.133 * [backup-simplify]: Simplify (/ f f) into 1 5.133 * [backup-simplify]: Simplify (* -1 1) into -1 5.133 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.133 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 5.133 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.133 * [taylor]: Taking taylor expansion of -1 in f 5.133 * [backup-simplify]: Simplify -1 into -1 5.133 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.134 * [taylor]: Taking taylor expansion of (+ n f) in f 5.134 * [taylor]: Taking taylor expansion of n in f 5.134 * [backup-simplify]: Simplify n into n 5.134 * [taylor]: Taking taylor expansion of f in f 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of (- f n) in f 5.134 * [taylor]: Taking taylor expansion of f in f 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of n in f 5.134 * [backup-simplify]: Simplify n into n 5.134 * [backup-simplify]: Simplify (+ n 0) into n 5.134 * [backup-simplify]: Simplify (- n) into (- n) 5.134 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.134 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.134 * [backup-simplify]: Simplify (* -1 -1) into 1 5.134 * [backup-simplify]: Simplify (exp 1) into E 5.134 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 5.134 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 5.134 * [taylor]: Taking taylor expansion of -1 in f 5.134 * [backup-simplify]: Simplify -1 into -1 5.134 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 5.134 * [taylor]: Taking taylor expansion of (+ n f) in f 5.134 * [taylor]: Taking taylor expansion of n in f 5.134 * [backup-simplify]: Simplify n into n 5.134 * [taylor]: Taking taylor expansion of f in f 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of (- f n) in f 5.134 * [taylor]: Taking taylor expansion of f in f 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of n in f 5.134 * [backup-simplify]: Simplify n into n 5.134 * [backup-simplify]: Simplify (+ n 0) into n 5.134 * [backup-simplify]: Simplify (- n) into (- n) 5.134 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 5.135 * [backup-simplify]: Simplify (/ n (- n)) into -1 5.135 * [backup-simplify]: Simplify (* -1 -1) into 1 5.135 * [backup-simplify]: Simplify (exp 1) into E 5.135 * [taylor]: Taking taylor expansion of E in n 5.135 * [backup-simplify]: Simplify E into E 5.135 * [backup-simplify]: Simplify E into E 5.136 * [backup-simplify]: Simplify (+ 0 1) into 1 5.136 * [backup-simplify]: Simplify (- 0) into 0 5.136 * [backup-simplify]: Simplify (+ 1 0) into 1 5.136 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 5.137 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 5.137 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 5.137 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 5.137 * [taylor]: Taking taylor expansion of 2 in n 5.137 * [backup-simplify]: Simplify 2 into 2 5.137 * [taylor]: Taking taylor expansion of (/ E n) in n 5.137 * [taylor]: Taking taylor expansion of E in n 5.137 * [backup-simplify]: Simplify E into E 5.137 * [taylor]: Taking taylor expansion of n in n 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (/ E 1) into E 5.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.138 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.139 * [backup-simplify]: Simplify (- 0) into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.140 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 5.140 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 5.140 * [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))) 5.140 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 5.140 * [taylor]: Taking taylor expansion of 4 in n 5.140 * [backup-simplify]: Simplify 4 into 4 5.140 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 5.141 * [taylor]: Taking taylor expansion of E in n 5.141 * [backup-simplify]: Simplify E into E 5.141 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.141 * [taylor]: Taking taylor expansion of n in n 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (* 1 1) into 1 5.141 * [backup-simplify]: Simplify (/ E 1) into E 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [backup-simplify]: Simplify (- 0) into 0 5.146 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [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)))) 5.147 * [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))) 5.148 * [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))) 5.148 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 5.148 * [taylor]: Taking taylor expansion of 22/3 in n 5.148 * [backup-simplify]: Simplify 22/3 into 22/3 5.148 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 5.148 * [taylor]: Taking taylor expansion of E in n 5.148 * [backup-simplify]: Simplify E into E 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 5.148 * [backup-simplify]: Simplify (* 1 1) into 1 5.149 * [backup-simplify]: Simplify (* 1 1) into 1 5.149 * [backup-simplify]: Simplify (/ E 1) into E 5.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify E into E 5.155 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 5.155 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 5.155 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 5.155 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 5.155 * [taylor]: Taking taylor expansion of -1 in n 5.155 * [backup-simplify]: Simplify -1 into -1 5.155 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 5.155 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.155 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.155 * [taylor]: Taking taylor expansion of f in n 5.155 * [backup-simplify]: Simplify f into f 5.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.155 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.155 * [taylor]: Taking taylor expansion of n in n 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 5.155 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.155 * [taylor]: Taking taylor expansion of f in n 5.155 * [backup-simplify]: Simplify f into f 5.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.155 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.155 * [taylor]: Taking taylor expansion of n in n 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [backup-simplify]: Simplify (+ 0 1) into 1 5.156 * [backup-simplify]: Simplify (- 1) into -1 5.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.157 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.157 * [backup-simplify]: Simplify (* -1 -1) into 1 5.157 * [backup-simplify]: Simplify (exp 1) into E 5.157 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.157 * [taylor]: Taking taylor expansion of -1 in f 5.157 * [backup-simplify]: Simplify -1 into -1 5.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.157 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.157 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.157 * [taylor]: Taking taylor expansion of f in f 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (/ 1 1) into 1 5.157 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.157 * [taylor]: Taking taylor expansion of n in f 5.157 * [backup-simplify]: Simplify n into n 5.157 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.157 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.157 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.158 * [taylor]: Taking taylor expansion of f in f 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (/ 1 1) into 1 5.158 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.158 * [taylor]: Taking taylor expansion of n in f 5.158 * [backup-simplify]: Simplify n into n 5.158 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.158 * [backup-simplify]: Simplify (+ 1 0) into 1 5.158 * [backup-simplify]: Simplify (+ 1 0) into 1 5.159 * [backup-simplify]: Simplify (/ 1 1) into 1 5.159 * [backup-simplify]: Simplify (* -1 1) into -1 5.159 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.159 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 5.159 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 5.159 * [taylor]: Taking taylor expansion of -1 in f 5.159 * [backup-simplify]: Simplify -1 into -1 5.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 5.159 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.159 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.159 * [taylor]: Taking taylor expansion of f in f 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 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.160 * [taylor]: Taking taylor expansion of n in f 5.160 * [backup-simplify]: Simplify n into n 5.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.160 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 5.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.160 * [taylor]: Taking taylor expansion of f in f 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.160 * [taylor]: Taking taylor expansion of n in f 5.160 * [backup-simplify]: Simplify n into n 5.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.160 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (/ 1 1) into 1 5.161 * [backup-simplify]: Simplify (* -1 1) into -1 5.161 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.161 * [taylor]: Taking taylor expansion of (exp -1) in n 5.162 * [taylor]: Taking taylor expansion of -1 in n 5.162 * [backup-simplify]: Simplify -1 into -1 5.162 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.162 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 5.163 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 5.163 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 5.164 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 5.164 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 5.164 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 5.164 * [taylor]: Taking taylor expansion of -2 in n 5.164 * [backup-simplify]: Simplify -2 into -2 5.164 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 5.164 * [taylor]: Taking taylor expansion of (exp -1) in n 5.164 * [taylor]: Taking taylor expansion of -1 in n 5.164 * [backup-simplify]: Simplify -1 into -1 5.165 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.165 * [taylor]: Taking taylor expansion of n in n 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 5.166 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.171 * [backup-simplify]: Simplify (- 0) into 0 5.172 * [backup-simplify]: Simplify (+ 0 0) into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 5.174 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 5.175 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 5.175 * [taylor]: Taking taylor expansion of 0 in n 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.182 * [backup-simplify]: Simplify (+ 0 0) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 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)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 5.187 * [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)))) 5.188 * [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))) 5.189 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 5.189 * [taylor]: Taking taylor expansion of 2/3 in n 5.189 * [backup-simplify]: Simplify 2/3 into 2/3 5.189 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 5.189 * [taylor]: Taking taylor expansion of (exp -1) in n 5.189 * [taylor]: Taking taylor expansion of -1 in n 5.189 * [backup-simplify]: Simplify -1 into -1 5.189 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.189 * [taylor]: Taking taylor expansion of (pow n 3) 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 5.190 * [backup-simplify]: Simplify (* 1 1) into 1 5.190 * [backup-simplify]: Simplify (* 1 1) into 1 5.191 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 5.193 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.203 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.208 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 5.208 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 5.208 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 5.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 5.208 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 5.208 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.208 * [taylor]: Taking taylor expansion of f in n 5.208 * [backup-simplify]: Simplify f into f 5.208 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.208 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.208 * [taylor]: Taking taylor expansion of n in n 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (/ 1 1) into 1 5.209 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 5.209 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.209 * [taylor]: Taking taylor expansion of n in n 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (/ 1 1) into 1 5.209 * [taylor]: Taking taylor expansion of (/ 1 f) in n 5.209 * [taylor]: Taking taylor expansion of f in n 5.209 * [backup-simplify]: Simplify f into f 5.209 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 5.210 * [backup-simplify]: Simplify (+ 0 1) into 1 5.210 * [backup-simplify]: Simplify (+ 1 0) into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [backup-simplify]: Simplify (exp 1) into E 5.211 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.211 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.211 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.211 * [taylor]: Taking taylor expansion of f in f 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ 1 1) into 1 5.211 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.211 * [taylor]: Taking taylor expansion of n in f 5.211 * [backup-simplify]: Simplify n into n 5.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.211 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.211 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.211 * [taylor]: Taking taylor expansion of n in f 5.211 * [backup-simplify]: Simplify n into n 5.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.211 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.212 * [taylor]: Taking taylor expansion of f in f 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (/ 1 1) into 1 5.212 * [backup-simplify]: Simplify (+ 1 0) into 1 5.213 * [backup-simplify]: Simplify (- 1) into -1 5.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.214 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.214 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.214 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 5.214 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 5.214 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.214 * [taylor]: Taking taylor expansion of f in f 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.215 * [backup-simplify]: Simplify (/ 1 1) into 1 5.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.215 * [taylor]: Taking taylor expansion of n in f 5.215 * [backup-simplify]: Simplify n into n 5.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.215 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 5.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 5.215 * [taylor]: Taking taylor expansion of n in f 5.215 * [backup-simplify]: Simplify n into n 5.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.215 * [taylor]: Taking taylor expansion of (/ 1 f) in f 5.215 * [taylor]: Taking taylor expansion of f in f 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 1 into 1 5.216 * [backup-simplify]: Simplify (/ 1 1) into 1 5.216 * [backup-simplify]: Simplify (+ 1 0) into 1 5.217 * [backup-simplify]: Simplify (- 1) into -1 5.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.217 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.218 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.218 * [taylor]: Taking taylor expansion of (exp -1) in n 5.218 * [taylor]: Taking taylor expansion of -1 in n 5.218 * [backup-simplify]: Simplify -1 into -1 5.218 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.219 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (- 0) into 0 5.221 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 5.221 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 5.222 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 5.222 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 5.222 * [taylor]: Taking taylor expansion of -2 in n 5.222 * [backup-simplify]: Simplify -2 into -2 5.222 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 5.222 * [taylor]: Taking taylor expansion of (exp -1) in n 5.222 * [taylor]: Taking taylor expansion of -1 in n 5.222 * [backup-simplify]: Simplify -1 into -1 5.223 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.223 * [taylor]: Taking taylor expansion of n in n 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.224 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 5.225 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 5.227 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.234 * [backup-simplify]: Simplify (+ 0 0) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (- 0) into 0 5.235 * [backup-simplify]: Simplify (+ 0 0) into 0 5.237 * [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 (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 5.238 * [taylor]: Taking taylor expansion of 0 in n 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 5.241 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.243 * [backup-simplify]: Simplify (+ 0 0) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (- 0) into 0 5.244 * [backup-simplify]: Simplify (+ 0 0) into 0 5.245 * [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)))) 5.246 * [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))) 5.246 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 5.246 * [taylor]: Taking taylor expansion of 2/3 in n 5.246 * [backup-simplify]: Simplify 2/3 into 2/3 5.246 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 5.246 * [taylor]: Taking taylor expansion of (exp -1) in n 5.246 * [taylor]: Taking taylor expansion of -1 in n 5.246 * [backup-simplify]: Simplify -1 into -1 5.246 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.246 * [taylor]: Taking taylor expansion of (pow n 3) in n 5.246 * [taylor]: Taking taylor expansion of n in n 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.246 * [backup-simplify]: Simplify (* 1 1) into 1 5.247 * [backup-simplify]: Simplify (* 1 1) into 1 5.247 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 5.248 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.251 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 5.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.254 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify (exp -1) into (exp -1) 5.256 * * * [progress]: simplifying candidates 5.260 * [simplify]: Simplifying: (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (log (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n)))))) (log (cbrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log (sqrt (exp (/ (- (+ f n)) (- f n))))) (log 1) (log (exp (/ (- (+ f n)) (- f n)))) (log 1) 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(log (exp (/ 1 1))) (log (exp (/ 1 (+ (sqrt f) (sqrt n))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp (- (+ f n)))) (log (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))) (log (exp (/ (- (+ f n)) (- (* f f) (* n n))))) (log (log (exp (/ (- (+ f n)) (- f n))))) (exp (log (exp (/ (- (+ f n)) (- f n))))) (* (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (cbrt (log (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (exp (/ (- (+ f n)) (- f n))))) (* (* (log (exp (/ (- (+ f n)) (- f n)))) (log (exp (/ (- (+ f n)) (- f n))))) (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (sqrt (log (exp (/ (- (+ f n)) (- f n))))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (sqrt (/ (- (+ f n)) (- f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)) (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (exp (/ (sqrt (- (+ f n))) 1)) (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (- (+ f n))) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp (/ -1 1)) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp (/ -1 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (- (sqrt (+ f n))) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ (- (+ f n)) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 5.264 * * [simplify]: Extracting # 0 : cost 0 5.265 * * [simplify]: Extracting # 1 : cost 0 5.265 * * [simplify]: Extracting # 2 : cost 0 5.265 * * [simplify]: Extracting # 3 : cost 0 5.266 * * [simplify]: Extracting # 4 : cost 0 5.266 * * [simplify]: Extracting # 5 : cost 0 5.266 * * [simplify]: Extracting # 6 : cost 0 5.267 * * [simplify]: Extracting # 7 : cost 0 5.267 * * [simplify]: Extracting # 8 : cost 0 5.267 * * [simplify]: iteration 0 : 241 enodes (cost 3236 ) 5.317 * * [simplify]: Extracting # 0 : cost 0 5.318 * * [simplify]: Extracting # 1 : cost 0 5.318 * * [simplify]: Extracting # 2 : cost 0 5.318 * * [simplify]: Extracting # 3 : cost 0 5.319 * * [simplify]: Extracting # 4 : cost 0 5.319 * * [simplify]: iteration 1 : 403 enodes (cost 2862 ) 5.405 * * [simplify]: Extracting # 0 : cost 0 5.406 * * [simplify]: Extracting # 1 : cost 0 5.407 * * [simplify]: Extracting # 2 : cost 0 5.408 * * [simplify]: Extracting # 3 : cost 0 5.409 * * [simplify]: Extracting # 4 : cost 0 5.409 * * [simplify]: iteration 2 : 858 enodes (cost 2790 ) 5.910 * * [simplify]: Extracting # 0 : cost 0 5.913 * * [simplify]: Extracting # 1 : cost 0 5.922 * * [simplify]: Extracting # 2 : cost 0 5.926 * * [simplify]: Extracting # 3 : cost 0 5.930 * * [simplify]: Extracting # 4 : cost 0 5.934 * * [simplify]: iteration 3 : 2177 enodes (cost 2768 ) 7.465 * * [simplify]: Extracting # 0 : cost 0 7.476 * * [simplify]: Extracting # 1 : cost 0 7.485 * * [simplify]: Extracting # 2 : cost 0 7.493 * * [simplify]: Extracting # 3 : cost 0 7.502 * * [simplify]: Extracting # 4 : cost 0 7.511 * * [simplify]: iteration done: 5000 enodes (cost 2768 ) 7.513 * [simplify]: Simplified to: (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ n f) (- n f) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt 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(sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ -1 (- f n))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 E (exp -1) (exp -1) 7.517 * * * [progress]: adding candidates to table 8.164 * * [progress]: iteration 3 / 4 8.165 * * * [progress]: picking best candidate 8.181 * * * * [pick]: Picked # 8.181 * * * [progress]: localizing error 8.194 * * * [progress]: generating rewritten candidates 8.194 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 8.254 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 8.322 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 8.409 * * * [progress]: generating series expansions 8.409 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 8.409 * [backup-simplify]: Simplify (pow (/ (- (+ f n)) (- f n)) 3) into (pow (* -1 (/ (+ n f) (- f n))) 3) 8.409 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in (f n) around 0 8.409 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in n 8.409 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.409 * [taylor]: Taking taylor expansion of -1 in n 8.409 * [backup-simplify]: Simplify -1 into -1 8.409 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.409 * [taylor]: Taking taylor expansion of (+ n f) in n 8.409 * [taylor]: Taking taylor expansion of n in n 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.409 * [taylor]: Taking taylor expansion of f in n 8.409 * [backup-simplify]: Simplify f into f 8.409 * [taylor]: Taking taylor expansion of (- f n) in n 8.409 * [taylor]: Taking taylor expansion of f in n 8.409 * [backup-simplify]: Simplify f into f 8.409 * [taylor]: Taking taylor expansion of n in n 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (+ 0 f) into f 8.410 * [backup-simplify]: Simplify (- 0) into 0 8.410 * [backup-simplify]: Simplify (+ f 0) into f 8.410 * [backup-simplify]: Simplify (/ f f) into 1 8.410 * [backup-simplify]: Simplify (* -1 1) into -1 8.410 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 8.410 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.410 * [taylor]: Taking taylor expansion of -1 in f 8.410 * [backup-simplify]: Simplify -1 into -1 8.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.411 * [taylor]: Taking taylor expansion of (+ n f) in f 8.411 * [taylor]: Taking taylor expansion of n in f 8.411 * [backup-simplify]: Simplify n into n 8.411 * [taylor]: Taking taylor expansion of f in f 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [taylor]: Taking taylor expansion of (- f n) in f 8.411 * [taylor]: Taking taylor expansion of f in f 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [taylor]: Taking taylor expansion of n in f 8.411 * [backup-simplify]: Simplify n into n 8.411 * [backup-simplify]: Simplify (+ n 0) into n 8.411 * [backup-simplify]: Simplify (- n) into (- n) 8.411 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.411 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.411 * [backup-simplify]: Simplify (* -1 -1) into 1 8.411 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ n f) (- f n))) 3) in f 8.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.411 * [taylor]: Taking taylor expansion of -1 in f 8.411 * [backup-simplify]: Simplify -1 into -1 8.411 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.411 * [taylor]: Taking taylor expansion of (+ n f) in f 8.411 * [taylor]: Taking taylor expansion of n in f 8.411 * [backup-simplify]: Simplify n into n 8.411 * [taylor]: Taking taylor expansion of f in f 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [taylor]: Taking taylor expansion of (- f n) in f 8.411 * [taylor]: Taking taylor expansion of f in f 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [taylor]: Taking taylor expansion of n in f 8.411 * [backup-simplify]: Simplify n into n 8.411 * [backup-simplify]: Simplify (+ n 0) into n 8.411 * [backup-simplify]: Simplify (- n) into (- n) 8.412 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.412 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.412 * [backup-simplify]: Simplify (* -1 -1) into 1 8.412 * [backup-simplify]: Simplify (* 1 1) into 1 8.412 * [backup-simplify]: Simplify (* 1 1) into 1 8.412 * [taylor]: Taking taylor expansion of 1 in n 8.412 * [backup-simplify]: Simplify 1 into 1 8.412 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (+ 0 1) into 1 8.413 * [backup-simplify]: Simplify (- 0) into 0 8.413 * [backup-simplify]: Simplify (+ 1 0) into 1 8.413 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.414 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.414 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 4 (/ 1 n)) 8.414 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 n))) (* (* 2 (/ 1 n)) 1)) into (* 6 (/ 1 n)) 8.414 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 8.414 * [taylor]: Taking taylor expansion of 6 in n 8.414 * [backup-simplify]: Simplify 6 into 6 8.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.414 * [taylor]: Taking taylor expansion of n in n 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (/ 1 1) into 1 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify (+ 0 0) into 0 8.416 * [backup-simplify]: Simplify (- 0) into 0 8.416 * [backup-simplify]: Simplify (+ 0 0) into 0 8.416 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.417 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.417 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 8 (/ 1 (pow n 2))) 8.417 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 n)) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 2))) 1))) into (* 18 (/ 1 (pow n 2))) 8.417 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 8.417 * [taylor]: Taking taylor expansion of 18 in n 8.417 * [backup-simplify]: Simplify 18 into 18 8.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.418 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.418 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (/ 1 1) into 1 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.422 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify (+ 0 0) into 0 8.422 * [backup-simplify]: Simplify (- 0) into 0 8.422 * [backup-simplify]: Simplify (+ 0 0) into 0 8.423 * [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)))) 8.423 * [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))) 8.424 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 2 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 2 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 12 (/ 1 (pow n 3))) 8.425 * [backup-simplify]: Simplify (+ (* 1 (* 12 (/ 1 (pow n 3)))) (+ (* (* 2 (/ 1 n)) (* 8 (/ 1 (pow n 2)))) (+ (* (* 2 (/ 1 (pow n 2))) (* 4 (/ 1 n))) (* (* 2 (/ 1 (pow n 3))) 1)))) into (* 38 (/ 1 (pow n 3))) 8.425 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 8.425 * [taylor]: Taking taylor expansion of 38 in n 8.425 * [backup-simplify]: Simplify 38 into 38 8.425 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.425 * [taylor]: Taking taylor expansion of (pow n 3) 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 8.425 * [backup-simplify]: Simplify (* 1 1) into 1 8.425 * [backup-simplify]: Simplify (/ 1 1) into 1 8.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3) into (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) 8.431 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in (f n) around 0 8.431 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in n 8.431 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.431 * [taylor]: Taking taylor expansion of -1 in n 8.431 * [backup-simplify]: Simplify -1 into -1 8.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.431 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.431 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.431 * [taylor]: Taking taylor expansion of f in n 8.431 * [backup-simplify]: Simplify f into f 8.431 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.431 * [taylor]: Taking taylor expansion of (/ 1 n) 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 8.431 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.432 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.432 * [taylor]: Taking taylor expansion of f in n 8.432 * [backup-simplify]: Simplify f into f 8.432 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.432 * [taylor]: Taking taylor expansion of n in n 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (/ 1 1) into 1 8.432 * [backup-simplify]: Simplify (+ 0 1) into 1 8.432 * [backup-simplify]: Simplify (- 1) into -1 8.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.433 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.433 * [backup-simplify]: Simplify (* -1 -1) into 1 8.433 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 8.433 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.433 * [taylor]: Taking taylor expansion of -1 in f 8.433 * [backup-simplify]: Simplify -1 into -1 8.433 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.433 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.433 * [taylor]: Taking taylor expansion of f in f 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.434 * [taylor]: Taking taylor expansion of n in f 8.434 * [backup-simplify]: Simplify n into n 8.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.434 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.434 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.434 * [taylor]: Taking taylor expansion of f in f 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.434 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.434 * [taylor]: Taking taylor expansion of n in f 8.434 * [backup-simplify]: Simplify n into n 8.434 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.434 * [backup-simplify]: Simplify (+ 1 0) into 1 8.435 * [backup-simplify]: Simplify (+ 1 0) into 1 8.435 * [backup-simplify]: Simplify (/ 1 1) into 1 8.435 * [backup-simplify]: Simplify (* -1 1) into -1 8.436 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3) in f 8.436 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.436 * [taylor]: Taking taylor expansion of -1 in f 8.436 * [backup-simplify]: Simplify -1 into -1 8.436 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.436 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.436 * [taylor]: Taking taylor expansion of f in f 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 1 into 1 8.436 * [backup-simplify]: Simplify (/ 1 1) into 1 8.436 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.436 * [taylor]: Taking taylor expansion of n in f 8.436 * [backup-simplify]: Simplify n into n 8.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.436 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.436 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.436 * [taylor]: Taking taylor expansion of f in f 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 1 into 1 8.437 * [backup-simplify]: Simplify (/ 1 1) into 1 8.437 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.437 * [taylor]: Taking taylor expansion of n in f 8.437 * [backup-simplify]: Simplify n into n 8.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.438 * [backup-simplify]: Simplify (+ 1 0) into 1 8.438 * [backup-simplify]: Simplify (+ 1 0) into 1 8.438 * [backup-simplify]: Simplify (/ 1 1) into 1 8.439 * [backup-simplify]: Simplify (* -1 1) into -1 8.439 * [backup-simplify]: Simplify (* -1 -1) into 1 8.440 * [backup-simplify]: Simplify (* -1 1) into -1 8.440 * [taylor]: Taking taylor expansion of -1 in n 8.440 * [backup-simplify]: Simplify -1 into -1 8.440 * [backup-simplify]: Simplify -1 into -1 8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.441 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.442 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.442 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.442 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.442 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.443 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 8.443 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 8.443 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 8.443 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 8.443 * [taylor]: Taking taylor expansion of 6 in n 8.443 * [backup-simplify]: Simplify 6 into 6 8.443 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.443 * [taylor]: Taking taylor expansion of n in n 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.445 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.446 * [backup-simplify]: Simplify (- 0) into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.447 * [backup-simplify]: Simplify (+ 0 0) into 0 8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.449 * [backup-simplify]: Simplify (- 0) into 0 8.449 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.451 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.452 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 8.453 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 8.453 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 8.453 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 8.453 * [taylor]: Taking taylor expansion of 18 in n 8.453 * [backup-simplify]: Simplify 18 into 18 8.453 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.453 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.453 * [taylor]: Taking taylor expansion of n in n 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 1 into 1 8.453 * [backup-simplify]: Simplify (* 1 1) into 1 8.454 * [backup-simplify]: Simplify (/ 1 1) into 1 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.458 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 8.458 * [backup-simplify]: Simplify (- 0) into 0 8.458 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.461 * [backup-simplify]: Simplify (- 0) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.462 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.463 * [backup-simplify]: Simplify (- 0) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.465 * [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))) 8.466 * [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)))) 8.466 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 8.467 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 8.467 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 8.467 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 8.467 * [taylor]: Taking taylor expansion of 38 in n 8.467 * [backup-simplify]: Simplify 38 into 38 8.467 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.467 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.467 * [taylor]: Taking taylor expansion of n in n 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 1 into 1 8.467 * [backup-simplify]: Simplify (* 1 1) into 1 8.468 * [backup-simplify]: Simplify (* 1 1) into 1 8.468 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (- 0) into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify -1 into -1 8.474 * [backup-simplify]: Simplify (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3) into (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) 8.474 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in (f n) around 0 8.474 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in n 8.474 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.474 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.474 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.474 * [taylor]: Taking taylor expansion of f in n 8.474 * [backup-simplify]: Simplify f into f 8.474 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.474 * [taylor]: Taking taylor expansion of n in n 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (/ 1 1) into 1 8.475 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.475 * [taylor]: Taking taylor expansion of n in n 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify 1 into 1 8.475 * [backup-simplify]: Simplify (/ 1 1) into 1 8.475 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.475 * [taylor]: Taking taylor expansion of f in n 8.475 * [backup-simplify]: Simplify f into f 8.475 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.475 * [backup-simplify]: Simplify (+ 0 1) into 1 8.476 * [backup-simplify]: Simplify (+ 1 0) into 1 8.476 * [backup-simplify]: Simplify (/ 1 1) into 1 8.476 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 8.476 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.476 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.476 * [taylor]: Taking taylor expansion of f in f 8.476 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify 1 into 1 8.476 * [backup-simplify]: Simplify (/ 1 1) into 1 8.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.476 * [taylor]: Taking taylor expansion of n in f 8.476 * [backup-simplify]: Simplify n into n 8.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.476 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.476 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.476 * [taylor]: Taking taylor expansion of n in f 8.476 * [backup-simplify]: Simplify n into n 8.476 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.476 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.477 * [taylor]: Taking taylor expansion of f in f 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify (/ 1 1) into 1 8.477 * [backup-simplify]: Simplify (+ 1 0) into 1 8.477 * [backup-simplify]: Simplify (- 1) into -1 8.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.478 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.478 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3) in f 8.478 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.478 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.478 * [taylor]: Taking taylor expansion of f in f 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify (/ 1 1) into 1 8.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.478 * [taylor]: Taking taylor expansion of n in f 8.478 * [backup-simplify]: Simplify n into n 8.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.478 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.478 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.478 * [taylor]: Taking taylor expansion of n in f 8.478 * [backup-simplify]: Simplify n into n 8.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.478 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.478 * [taylor]: Taking taylor expansion of f in f 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.479 * [backup-simplify]: Simplify (/ 1 1) into 1 8.479 * [backup-simplify]: Simplify (+ 1 0) into 1 8.479 * [backup-simplify]: Simplify (- 1) into -1 8.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.480 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.480 * [backup-simplify]: Simplify (* -1 -1) into 1 8.480 * [backup-simplify]: Simplify (* -1 1) into -1 8.480 * [taylor]: Taking taylor expansion of -1 in n 8.480 * [backup-simplify]: Simplify -1 into -1 8.480 * [backup-simplify]: Simplify -1 into -1 8.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.481 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (- 0) into 0 8.482 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.482 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.482 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 n))) -1)) into (* 4 (/ 1 n)) 8.482 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 n))) (* (- (* 2 (/ 1 n))) 1)) into (- (* 6 (/ 1 n))) 8.482 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 n))) in n 8.482 * [taylor]: Taking taylor expansion of (* 6 (/ 1 n)) in n 8.482 * [taylor]: Taking taylor expansion of 6 in n 8.482 * [backup-simplify]: Simplify 6 into 6 8.482 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.482 * [taylor]: Taking taylor expansion of n in n 8.482 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify 1 into 1 8.483 * [backup-simplify]: Simplify (/ 1 1) into 1 8.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.484 * [backup-simplify]: Simplify (- 0) into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.485 * [backup-simplify]: Simplify (+ 0 0) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (- 0) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.486 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.487 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 2)))) -1))) into (* 8 (/ 1 (pow n 2))) 8.487 * [backup-simplify]: Simplify (+ (* -1 (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 n))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 2)))) 1))) into (- (* 18 (/ 1 (pow n 2)))) 8.487 * [taylor]: Taking taylor expansion of (- (* 18 (/ 1 (pow n 2)))) in n 8.487 * [taylor]: Taking taylor expansion of (* 18 (/ 1 (pow n 2))) in n 8.487 * [taylor]: Taking taylor expansion of 18 in n 8.487 * [backup-simplify]: Simplify 18 into 18 8.487 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.487 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.487 * [taylor]: Taking taylor expansion of n in n 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 1 into 1 8.488 * [backup-simplify]: Simplify (* 1 1) into 1 8.488 * [backup-simplify]: Simplify (/ 1 1) into 1 8.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ (* 18 0) (+ (* 0 0) (* 0 1))) into 0 8.492 * [backup-simplify]: Simplify (- 0) into 0 8.492 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.494 * [backup-simplify]: Simplify (- 0) into 0 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.495 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (- 0) into 0 8.496 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [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)))) 8.498 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* (- (* 2 (/ 1 n))) (- (* 2 (/ 1 (pow n 2))))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (- (* 2 (/ 1 n)))) (* (- (* 2 (/ 1 (pow n 3)))) -1)))) into (* 12 (/ 1 (pow n 3))) 8.498 * [backup-simplify]: Simplify (+ (* -1 (* 12 (/ 1 (pow n 3)))) (+ (* (- (* 2 (/ 1 n))) (* 8 (/ 1 (pow n 2)))) (+ (* (- (* 2 (/ 1 (pow n 2)))) (* 4 (/ 1 n))) (* (- (* 2 (/ 1 (pow n 3)))) 1)))) into (- (* 38 (/ 1 (pow n 3)))) 8.498 * [taylor]: Taking taylor expansion of (- (* 38 (/ 1 (pow n 3)))) in n 8.498 * [taylor]: Taking taylor expansion of (* 38 (/ 1 (pow n 3))) in n 8.498 * [taylor]: Taking taylor expansion of 38 in n 8.498 * [backup-simplify]: Simplify 38 into 38 8.498 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.498 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.498 * [taylor]: Taking taylor expansion of n in n 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.499 * [backup-simplify]: Simplify (* 1 1) into 1 8.499 * [backup-simplify]: Simplify (* 1 1) into 1 8.499 * [backup-simplify]: Simplify (/ 1 1) into 1 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 38 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.504 * [backup-simplify]: Simplify (- 0) into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify -1 into -1 8.505 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 8.505 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 8.505 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 8.505 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 8.505 * [taylor]: Taking taylor expansion of -1 in n 8.505 * [backup-simplify]: Simplify -1 into -1 8.505 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 8.505 * [taylor]: Taking taylor expansion of (+ n f) in n 8.505 * [taylor]: Taking taylor expansion of n in n 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 1 into 1 8.505 * [taylor]: Taking taylor expansion of f in n 8.505 * [backup-simplify]: Simplify f into f 8.505 * [taylor]: Taking taylor expansion of (- f n) in n 8.505 * [taylor]: Taking taylor expansion of f in n 8.505 * [backup-simplify]: Simplify f into f 8.505 * [taylor]: Taking taylor expansion of n in n 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 1 into 1 8.505 * [backup-simplify]: Simplify (+ 0 f) into f 8.505 * [backup-simplify]: Simplify (- 0) into 0 8.505 * [backup-simplify]: Simplify (+ f 0) into f 8.505 * [backup-simplify]: Simplify (/ f f) into 1 8.505 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.505 * [taylor]: Taking taylor expansion of -1 in f 8.505 * [backup-simplify]: Simplify -1 into -1 8.505 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.505 * [taylor]: Taking taylor expansion of (+ n f) in f 8.505 * [taylor]: Taking taylor expansion of n in f 8.506 * [backup-simplify]: Simplify n into n 8.506 * [taylor]: Taking taylor expansion of f in f 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [taylor]: Taking taylor expansion of (- f n) in f 8.506 * [taylor]: Taking taylor expansion of f in f 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [taylor]: Taking taylor expansion of n in f 8.506 * [backup-simplify]: Simplify n into n 8.506 * [backup-simplify]: Simplify (+ n 0) into n 8.506 * [backup-simplify]: Simplify (- n) into (- n) 8.506 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.506 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.506 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 8.506 * [taylor]: Taking taylor expansion of -1 in f 8.506 * [backup-simplify]: Simplify -1 into -1 8.506 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 8.506 * [taylor]: Taking taylor expansion of (+ n f) in f 8.506 * [taylor]: Taking taylor expansion of n in f 8.506 * [backup-simplify]: Simplify n into n 8.506 * [taylor]: Taking taylor expansion of f in f 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [taylor]: Taking taylor expansion of (- f n) in f 8.506 * [taylor]: Taking taylor expansion of f in f 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [taylor]: Taking taylor expansion of n in f 8.506 * [backup-simplify]: Simplify n into n 8.506 * [backup-simplify]: Simplify (+ n 0) into n 8.506 * [backup-simplify]: Simplify (- n) into (- n) 8.506 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.506 * [backup-simplify]: Simplify (/ n (- n)) into -1 8.506 * [backup-simplify]: Simplify (* -1 -1) into 1 8.507 * [taylor]: Taking taylor expansion of 1 in n 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [backup-simplify]: Simplify (+ 0 1) into 1 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.508 * [backup-simplify]: Simplify (+ 1 0) into 1 8.508 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 8.509 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 8.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.509 * [taylor]: Taking taylor expansion of 2 in n 8.509 * [backup-simplify]: Simplify 2 into 2 8.509 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.509 * [taylor]: Taking taylor expansion of n in n 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify (+ 0 0) into 0 8.511 * [backup-simplify]: Simplify (- 0) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.512 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 8.513 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 8.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.513 * [taylor]: Taking taylor expansion of 2 in n 8.513 * [backup-simplify]: Simplify 2 into 2 8.513 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.513 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.513 * [taylor]: Taking taylor expansion of n in n 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (* 1 1) into 1 8.518 * [backup-simplify]: Simplify (/ 1 1) into 1 8.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.522 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify (+ 0 0) into 0 8.525 * [backup-simplify]: Simplify (- 0) into 0 8.525 * [backup-simplify]: Simplify (+ 0 0) into 0 8.526 * [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)))) 8.527 * [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))) 8.527 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.527 * [taylor]: Taking taylor expansion of 2 in n 8.527 * [backup-simplify]: Simplify 2 into 2 8.527 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.527 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.527 * [taylor]: Taking taylor expansion of n in n 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (* 1 1) into 1 8.528 * [backup-simplify]: Simplify (* 1 1) into 1 8.528 * [backup-simplify]: Simplify (/ 1 1) into 1 8.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 8.537 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 8.538 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 8.538 * [taylor]: Taking taylor expansion of -1 in n 8.538 * [backup-simplify]: Simplify -1 into -1 8.538 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 8.538 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.538 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.538 * [taylor]: Taking taylor expansion of f in n 8.538 * [backup-simplify]: Simplify f into f 8.538 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.538 * [taylor]: Taking taylor expansion of n in n 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (/ 1 1) into 1 8.538 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.538 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.538 * [taylor]: Taking taylor expansion of f in n 8.538 * [backup-simplify]: Simplify f into f 8.538 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.539 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.539 * [taylor]: Taking taylor expansion of n in n 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 1 into 1 8.539 * [backup-simplify]: Simplify (/ 1 1) into 1 8.539 * [backup-simplify]: Simplify (+ 0 1) into 1 8.540 * [backup-simplify]: Simplify (- 1) into -1 8.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.541 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.541 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.541 * [taylor]: Taking taylor expansion of -1 in f 8.541 * [backup-simplify]: Simplify -1 into -1 8.541 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.541 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.541 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.541 * [taylor]: Taking taylor expansion of f in f 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ 1 1) into 1 8.541 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.541 * [taylor]: Taking taylor expansion of n in f 8.542 * [backup-simplify]: Simplify n into n 8.542 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.542 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.542 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.542 * [taylor]: Taking taylor expansion of f in f 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify (/ 1 1) into 1 8.542 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.542 * [taylor]: Taking taylor expansion of n in f 8.542 * [backup-simplify]: Simplify n into n 8.542 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.543 * [backup-simplify]: Simplify (+ 1 0) into 1 8.543 * [backup-simplify]: Simplify (+ 1 0) into 1 8.543 * [backup-simplify]: Simplify (/ 1 1) into 1 8.543 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 8.543 * [taylor]: Taking taylor expansion of -1 in f 8.543 * [backup-simplify]: Simplify -1 into -1 8.543 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 8.543 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.543 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.543 * [taylor]: Taking taylor expansion of f in f 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.544 * [taylor]: Taking taylor expansion of n in f 8.544 * [backup-simplify]: Simplify n into n 8.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.544 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.544 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.544 * [taylor]: Taking taylor expansion of f in f 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.544 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.544 * [taylor]: Taking taylor expansion of n in f 8.544 * [backup-simplify]: Simplify n into n 8.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.544 * [backup-simplify]: Simplify (+ 1 0) into 1 8.545 * [backup-simplify]: Simplify (+ 1 0) into 1 8.545 * [backup-simplify]: Simplify (/ 1 1) into 1 8.545 * [backup-simplify]: Simplify (* -1 1) into -1 8.545 * [taylor]: Taking taylor expansion of -1 in n 8.545 * [backup-simplify]: Simplify -1 into -1 8.545 * [backup-simplify]: Simplify -1 into -1 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.546 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.547 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 8.547 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 8.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.547 * [taylor]: Taking taylor expansion of 2 in n 8.547 * [backup-simplify]: Simplify 2 into 2 8.547 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.547 * [taylor]: Taking taylor expansion of n in n 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (/ 1 1) into 1 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.549 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.550 * [backup-simplify]: Simplify (- 0) into 0 8.550 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 8.552 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 8.552 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.552 * [taylor]: Taking taylor expansion of 2 in n 8.552 * [backup-simplify]: Simplify 2 into 2 8.552 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.552 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.552 * [taylor]: Taking taylor expansion of n in n 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (* 1 1) into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.556 * [backup-simplify]: Simplify (- 0) into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.557 * [backup-simplify]: Simplify (+ 0 0) into 0 8.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.558 * [backup-simplify]: Simplify (- 0) into 0 8.558 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 8.560 * [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)))) 8.560 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.560 * [taylor]: Taking taylor expansion of 2 in n 8.560 * [backup-simplify]: Simplify 2 into 2 8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.560 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.560 * [taylor]: Taking taylor expansion of n in n 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (- 0) into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify -1 into -1 8.566 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.566 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.566 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.566 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.566 * [taylor]: Taking taylor expansion of f in n 8.566 * [backup-simplify]: Simplify f into f 8.567 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.567 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.567 * [taylor]: Taking taylor expansion of n in n 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 1 into 1 8.567 * [backup-simplify]: Simplify (/ 1 1) into 1 8.567 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.567 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.567 * [taylor]: Taking taylor expansion of n in n 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 1 into 1 8.567 * [backup-simplify]: Simplify (/ 1 1) into 1 8.567 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.567 * [taylor]: Taking taylor expansion of f in n 8.567 * [backup-simplify]: Simplify f into f 8.567 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.568 * [backup-simplify]: Simplify (+ 0 1) into 1 8.568 * [backup-simplify]: Simplify (+ 1 0) into 1 8.568 * [backup-simplify]: Simplify (/ 1 1) into 1 8.568 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.568 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.568 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.568 * [taylor]: Taking taylor expansion of f in f 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (/ 1 1) into 1 8.568 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.568 * [taylor]: Taking taylor expansion of n in f 8.568 * [backup-simplify]: Simplify n into n 8.568 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.569 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.569 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.569 * [taylor]: Taking taylor expansion of n in f 8.569 * [backup-simplify]: Simplify n into n 8.569 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.569 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.569 * [taylor]: Taking taylor expansion of f in f 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ 1 1) into 1 8.569 * [backup-simplify]: Simplify (+ 1 0) into 1 8.569 * [backup-simplify]: Simplify (- 1) into -1 8.570 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.570 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.570 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.570 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.570 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.570 * [taylor]: Taking taylor expansion of f in f 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (/ 1 1) into 1 8.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.570 * [taylor]: Taking taylor expansion of n in f 8.570 * [backup-simplify]: Simplify n into n 8.570 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.570 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.570 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.570 * [taylor]: Taking taylor expansion of n in f 8.570 * [backup-simplify]: Simplify n into n 8.570 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.571 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.571 * [taylor]: Taking taylor expansion of f in f 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (/ 1 1) into 1 8.571 * [backup-simplify]: Simplify (+ 1 0) into 1 8.572 * [backup-simplify]: Simplify (- 1) into -1 8.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.573 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.573 * [taylor]: Taking taylor expansion of -1 in n 8.573 * [backup-simplify]: Simplify -1 into -1 8.573 * [backup-simplify]: Simplify -1 into -1 8.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.574 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (- 0) into 0 8.575 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.576 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.576 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.576 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.576 * [taylor]: Taking taylor expansion of 2 in n 8.576 * [backup-simplify]: Simplify 2 into 2 8.576 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.576 * [taylor]: Taking taylor expansion of n in n 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [backup-simplify]: Simplify (/ 1 1) into 1 8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.578 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.578 * [backup-simplify]: Simplify (- 0) into 0 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.580 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (- 0) into 0 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.583 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.583 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.583 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.583 * [taylor]: Taking taylor expansion of 2 in n 8.583 * [backup-simplify]: Simplify 2 into 2 8.583 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.583 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.583 * [taylor]: Taking taylor expansion of n in n 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.584 * [backup-simplify]: Simplify (* 1 1) into 1 8.584 * [backup-simplify]: Simplify (/ 1 1) into 1 8.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.591 * [backup-simplify]: Simplify (- 0) into 0 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (- 0) into 0 8.594 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [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)))) 8.596 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.596 * [taylor]: Taking taylor expansion of 2 in n 8.596 * [backup-simplify]: Simplify 2 into 2 8.596 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.597 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.597 * [taylor]: Taking taylor expansion of n in n 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [backup-simplify]: Simplify (* 1 1) into 1 8.597 * [backup-simplify]: Simplify (* 1 1) into 1 8.598 * [backup-simplify]: Simplify (/ 1 1) into 1 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (- 0) into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify -1 into -1 8.605 * * * * [progress]: [ 3 / 3 ] generating series at (2) 8.606 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) into (/ (* (cbrt -1) (+ n f)) (- f n)) 8.606 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in (f n) around 0 8.606 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in n 8.606 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in n 8.606 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.606 * [taylor]: Taking taylor expansion of -1 in n 8.606 * [backup-simplify]: Simplify -1 into -1 8.606 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.607 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.607 * [taylor]: Taking taylor expansion of (+ n f) in n 8.607 * [taylor]: Taking taylor expansion of n in n 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [taylor]: Taking taylor expansion of f in n 8.607 * [backup-simplify]: Simplify f into f 8.607 * [taylor]: Taking taylor expansion of (- f n) in n 8.607 * [taylor]: Taking taylor expansion of f in n 8.607 * [backup-simplify]: Simplify f into f 8.607 * [taylor]: Taking taylor expansion of n in n 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (+ 0 f) into f 8.607 * [backup-simplify]: Simplify (* (cbrt -1) f) into (* (cbrt -1) f) 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ f 0) into f 8.608 * [backup-simplify]: Simplify (/ (* (cbrt -1) f) f) into (cbrt -1) 8.608 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 8.608 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 8.608 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.608 * [taylor]: Taking taylor expansion of -1 in f 8.608 * [backup-simplify]: Simplify -1 into -1 8.608 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.609 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.609 * [taylor]: Taking taylor expansion of (+ n f) in f 8.609 * [taylor]: Taking taylor expansion of n in f 8.609 * [backup-simplify]: Simplify n into n 8.609 * [taylor]: Taking taylor expansion of f in f 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [taylor]: Taking taylor expansion of (- f n) in f 8.609 * [taylor]: Taking taylor expansion of f in f 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [taylor]: Taking taylor expansion of n in f 8.609 * [backup-simplify]: Simplify n into n 8.609 * [backup-simplify]: Simplify (+ n 0) into n 8.609 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 8.609 * [backup-simplify]: Simplify (- n) into (- n) 8.609 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.610 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 8.610 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ n f)) (- f n)) in f 8.610 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ n f)) in f 8.610 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.610 * [taylor]: Taking taylor expansion of -1 in f 8.610 * [backup-simplify]: Simplify -1 into -1 8.610 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.611 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.611 * [taylor]: Taking taylor expansion of (+ n f) in f 8.611 * [taylor]: Taking taylor expansion of n in f 8.611 * [backup-simplify]: Simplify n into n 8.611 * [taylor]: Taking taylor expansion of f in f 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.611 * [taylor]: Taking taylor expansion of (- f n) in f 8.611 * [taylor]: Taking taylor expansion of f in f 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.611 * [taylor]: Taking taylor expansion of n in f 8.611 * [backup-simplify]: Simplify n into n 8.611 * [backup-simplify]: Simplify (+ n 0) into n 8.611 * [backup-simplify]: Simplify (* (cbrt -1) n) into (* (cbrt -1) n) 8.611 * [backup-simplify]: Simplify (- n) into (- n) 8.611 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 8.612 * [backup-simplify]: Simplify (/ (* (cbrt -1) n) (- n)) into (* -1 (cbrt -1)) 8.612 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in n 8.612 * [taylor]: Taking taylor expansion of -1 in n 8.612 * [backup-simplify]: Simplify -1 into -1 8.612 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.612 * [taylor]: Taking taylor expansion of -1 in n 8.612 * [backup-simplify]: Simplify -1 into -1 8.612 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.612 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.613 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 8.614 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 8.614 * [backup-simplify]: Simplify (+ 0 1) into 1 8.615 * [backup-simplify]: Simplify (+ (* (cbrt -1) 1) (* 0 n)) into (cbrt -1) 8.615 * [backup-simplify]: Simplify (- 0) into 0 8.615 * [backup-simplify]: Simplify (+ 1 0) into 1 8.616 * [backup-simplify]: Simplify (- (/ (cbrt -1) (- n)) (+ (* (* -1 (cbrt -1)) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) n))) 8.616 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) n))) in n 8.616 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 8.616 * [taylor]: Taking taylor expansion of 2 in n 8.616 * [backup-simplify]: Simplify 2 into 2 8.616 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 8.616 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.616 * [taylor]: Taking taylor expansion of -1 in n 8.616 * [backup-simplify]: Simplify -1 into -1 8.616 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.617 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.617 * [taylor]: Taking taylor expansion of n in n 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 8.619 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cbrt -1))) into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.621 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 1) (* 0 n))) into 0 8.622 * [backup-simplify]: Simplify (- 0) into 0 8.622 * [backup-simplify]: Simplify (+ 0 0) into 0 8.623 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 2)))) 8.623 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 2)))) in n 8.623 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 8.623 * [taylor]: Taking taylor expansion of 2 in n 8.623 * [backup-simplify]: Simplify 2 into 2 8.623 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 8.623 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.623 * [taylor]: Taking taylor expansion of -1 in n 8.623 * [backup-simplify]: Simplify -1 into -1 8.623 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.624 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.624 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.624 * [taylor]: Taking taylor expansion of n in n 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [backup-simplify]: Simplify (* 1 1) into 1 8.625 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.629 * [backup-simplify]: Simplify (- 0) into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.634 * [backup-simplify]: Simplify (- 0) into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify (+ 0 0) into 0 8.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.638 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 n)))) into 0 8.638 * [backup-simplify]: Simplify (- 0) into 0 8.638 * [backup-simplify]: Simplify (+ 0 0) into 0 8.640 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* (* -1 (cbrt -1)) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) n))) (/ 0 (- n))) (* (- (* 2 (/ (cbrt -1) (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ (cbrt -1) (pow n 3)))) 8.640 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow n 3)))) in n 8.640 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 8.640 * [taylor]: Taking taylor expansion of 2 in n 8.640 * [backup-simplify]: Simplify 2 into 2 8.640 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.640 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.640 * [taylor]: Taking taylor expansion of -1 in n 8.640 * [backup-simplify]: Simplify -1 into -1 8.641 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.641 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.641 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.641 * [taylor]: Taking taylor expansion of n in n 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (* 1 1) into 1 8.642 * [backup-simplify]: Simplify (* 1 1) into 1 8.643 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.650 * [backup-simplify]: Simplify (- 0) into 0 8.650 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1)) 8.651 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 3)) into (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) 8.651 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in (f n) around 0 8.651 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in n 8.651 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in n 8.651 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.651 * [taylor]: Taking taylor expansion of -1 in n 8.651 * [backup-simplify]: Simplify -1 into -1 8.652 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.652 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.652 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.652 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.652 * [taylor]: Taking taylor expansion of f in n 8.652 * [backup-simplify]: Simplify f into f 8.652 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.652 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.652 * [taylor]: Taking taylor expansion of n in n 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 1 into 1 8.652 * [backup-simplify]: Simplify (/ 1 1) into 1 8.653 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 8.653 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.653 * [taylor]: Taking taylor expansion of f in n 8.653 * [backup-simplify]: Simplify f into f 8.653 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.653 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.653 * [taylor]: Taking taylor expansion of n in n 8.653 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify 1 into 1 8.653 * [backup-simplify]: Simplify (/ 1 1) into 1 8.653 * [backup-simplify]: Simplify (+ 0 1) into 1 8.654 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 8.654 * [backup-simplify]: Simplify (- 1) into -1 8.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.655 * [backup-simplify]: Simplify (/ (cbrt -1) -1) into (* -1 (cbrt -1)) 8.655 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 8.655 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 8.655 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.655 * [taylor]: Taking taylor expansion of -1 in f 8.655 * [backup-simplify]: Simplify -1 into -1 8.656 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.656 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.656 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.656 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.656 * [taylor]: Taking taylor expansion of f in f 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.657 * [backup-simplify]: Simplify (/ 1 1) into 1 8.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.657 * [taylor]: Taking taylor expansion of n in f 8.657 * [backup-simplify]: Simplify n into n 8.657 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.657 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.657 * [taylor]: Taking taylor expansion of f in f 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (/ 1 1) into 1 8.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.658 * [taylor]: Taking taylor expansion of n in f 8.658 * [backup-simplify]: Simplify n into n 8.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.658 * [backup-simplify]: Simplify (+ 1 0) into 1 8.659 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 8.660 * [backup-simplify]: Simplify (+ 1 0) into 1 8.661 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.661 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) in f 8.661 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 f) (/ 1 n))) in f 8.661 * [taylor]: Taking taylor expansion of (cbrt -1) in f 8.661 * [taylor]: Taking taylor expansion of -1 in f 8.661 * [backup-simplify]: Simplify -1 into -1 8.661 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.662 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.662 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.662 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.662 * [taylor]: Taking taylor expansion of f in f 8.662 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (/ 1 1) into 1 8.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.663 * [taylor]: Taking taylor expansion of n in f 8.663 * [backup-simplify]: Simplify n into n 8.663 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.663 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 8.663 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.663 * [taylor]: Taking taylor expansion of f in f 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (/ 1 1) into 1 8.663 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.663 * [taylor]: Taking taylor expansion of n in f 8.664 * [backup-simplify]: Simplify n into n 8.664 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.664 * [backup-simplify]: Simplify (+ 1 0) into 1 8.665 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1) 8.665 * [backup-simplify]: Simplify (+ 1 0) into 1 8.666 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.667 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.667 * [taylor]: Taking taylor expansion of -1 in n 8.667 * [backup-simplify]: Simplify -1 into -1 8.667 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.668 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.668 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.670 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 n)) (* 0 1)) into (/ (cbrt -1) n) 8.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 8.671 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 8.672 * [backup-simplify]: Simplify (- (/ (/ (cbrt -1) n) 1) (+ (* (cbrt -1) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) n)) 8.672 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) n)) in n 8.672 * [taylor]: Taking taylor expansion of 2 in n 8.673 * [backup-simplify]: Simplify 2 into 2 8.673 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 8.673 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.673 * [taylor]: Taking taylor expansion of -1 in n 8.673 * [backup-simplify]: Simplify -1 into -1 8.673 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.674 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.674 * [taylor]: Taking taylor expansion of n in n 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 1 into 1 8.675 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cbrt -1))) into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.680 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.681 * [backup-simplify]: Simplify (- 0) into 0 8.682 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 2))) 8.684 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 2))) in n 8.684 * [taylor]: Taking taylor expansion of 2 in n 8.684 * [backup-simplify]: Simplify 2 into 2 8.684 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 8.684 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.684 * [taylor]: Taking taylor expansion of -1 in n 8.684 * [backup-simplify]: Simplify -1 into -1 8.684 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.685 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.685 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.685 * [taylor]: Taking taylor expansion of n in n 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.686 * [backup-simplify]: Simplify (* 1 1) into 1 8.686 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.692 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 8.696 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.701 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.703 * [backup-simplify]: Simplify (- 0) into 0 8.703 * [backup-simplify]: Simplify (+ 0 0) into 0 8.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* (* 2 (/ (cbrt -1) n)) (/ 0 1)) (* (* 2 (/ (cbrt -1) (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ (cbrt -1) (pow n 3))) 8.706 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow n 3))) in n 8.706 * [taylor]: Taking taylor expansion of 2 in n 8.706 * [backup-simplify]: Simplify 2 into 2 8.706 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 8.706 * [taylor]: Taking taylor expansion of (cbrt -1) in n 8.706 * [taylor]: Taking taylor expansion of -1 in n 8.706 * [backup-simplify]: Simplify -1 into -1 8.706 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.707 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.707 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.707 * [taylor]: Taking taylor expansion of n in n 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [backup-simplify]: Simplify (* 1 1) into 1 8.707 * [backup-simplify]: Simplify (* 1 1) into 1 8.708 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 8.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 8.715 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.716 * [backup-simplify]: Simplify (cbrt (pow (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) 3)) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 8.716 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 8.716 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 8.716 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 8.716 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.716 * [taylor]: Taking taylor expansion of f in n 8.716 * [backup-simplify]: Simplify f into f 8.716 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.716 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.716 * [taylor]: Taking taylor expansion of n in n 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (/ 1 1) into 1 8.716 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 8.716 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.716 * [taylor]: Taking taylor expansion of n in n 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [taylor]: Taking taylor expansion of (/ 1 f) in n 8.717 * [taylor]: Taking taylor expansion of f in n 8.717 * [backup-simplify]: Simplify f into f 8.717 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 8.717 * [backup-simplify]: Simplify (+ 0 1) into 1 8.717 * [backup-simplify]: Simplify (+ 1 0) into 1 8.718 * [backup-simplify]: Simplify (/ 1 1) into 1 8.718 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.718 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.718 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.718 * [taylor]: Taking taylor expansion of f in f 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [backup-simplify]: Simplify (/ 1 1) into 1 8.718 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.718 * [taylor]: Taking taylor expansion of n in f 8.718 * [backup-simplify]: Simplify n into n 8.718 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.718 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.718 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.718 * [taylor]: Taking taylor expansion of n in f 8.718 * [backup-simplify]: Simplify n into n 8.718 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.718 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.718 * [taylor]: Taking taylor expansion of f in f 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 1 into 1 8.718 * [backup-simplify]: Simplify (/ 1 1) into 1 8.719 * [backup-simplify]: Simplify (+ 1 0) into 1 8.719 * [backup-simplify]: Simplify (- 1) into -1 8.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.721 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.721 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 8.721 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 8.721 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.721 * [taylor]: Taking taylor expansion of f in f 8.721 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (/ 1 1) into 1 8.722 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.722 * [taylor]: Taking taylor expansion of n in f 8.722 * [backup-simplify]: Simplify n into n 8.722 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.722 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 8.722 * [taylor]: Taking taylor expansion of (/ 1 n) in f 8.722 * [taylor]: Taking taylor expansion of n in f 8.722 * [backup-simplify]: Simplify n into n 8.722 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.722 * [taylor]: Taking taylor expansion of (/ 1 f) in f 8.722 * [taylor]: Taking taylor expansion of f in f 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (/ 1 1) into 1 8.722 * [backup-simplify]: Simplify (+ 1 0) into 1 8.723 * [backup-simplify]: Simplify (- 1) into -1 8.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.723 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.723 * [taylor]: Taking taylor expansion of -1 in n 8.723 * [backup-simplify]: Simplify -1 into -1 8.723 * [backup-simplify]: Simplify -1 into -1 8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.724 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.725 * [backup-simplify]: Simplify (- 0) into 0 8.725 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 8.725 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 8.725 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 8.725 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 8.725 * [taylor]: Taking taylor expansion of 2 in n 8.725 * [backup-simplify]: Simplify 2 into 2 8.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.725 * [taylor]: Taking taylor expansion of n in n 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (/ 1 1) into 1 8.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.726 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.727 * [backup-simplify]: Simplify (- 0) into 0 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 8.729 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 8.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 8.729 * [taylor]: Taking taylor expansion of 2 in n 8.730 * [backup-simplify]: Simplify 2 into 2 8.730 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.730 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.730 * [taylor]: Taking taylor expansion of n in n 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (* 1 1) into 1 8.730 * [backup-simplify]: Simplify (/ 1 1) into 1 8.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.733 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.734 * [backup-simplify]: Simplify (- 0) into 0 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (- 0) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [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)))) 8.738 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 8.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 8.738 * [taylor]: Taking taylor expansion of 2 in n 8.738 * [backup-simplify]: Simplify 2 into 2 8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 8.738 * [taylor]: Taking taylor expansion of (pow n 3) in n 8.738 * [taylor]: Taking taylor expansion of n in n 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (/ 1 1) into 1 8.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (- 0) into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify -1 into -1 8.747 * * * [progress]: simplifying candidates 8.753 * [simplify]: Simplifying: (* (- (log (- (+ f n))) (log (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* (log (/ (- (+ f n)) (- f n))) 3) (* 1 3) (pow (/ (- (+ f n)) (- f n)) (* (cbrt 3) (cbrt 3))) (pow (/ (- (+ f n)) (- f n)) (sqrt 3)) (pow (/ (- (+ f n)) (- f n)) 1) (pow (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) 3) (pow (cbrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (sqrt (/ (- (+ f n)) (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) 3) (pow (/ (cbrt (- (+ f n))) (- f n)) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) 3) (pow (/ (cbrt (- (+ f n))) (- f n)) 3) (pow (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (sqrt (- (+ f n))) (cbrt (- f n))) 3) (pow (/ (sqrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (- (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (- (+ f n))) 1) 3) (pow (/ (sqrt (- (+ f n))) (- f n)) 3) (pow (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (- (+ f n))) 1) 3) (pow (/ (sqrt (- (+ f n))) (- f n)) 3) (pow (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (- (+ f n)) (cbrt (- f n))) 3) (pow (/ 1 (sqrt (- f n))) 3) (pow (/ (- (+ f n)) (sqrt (- f n))) 3) (pow (/ 1 1) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ 1 (+ (sqrt f) (sqrt n))) 3) (pow (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 3) (pow (/ 1 1) 3) (pow (/ (- (+ f n)) (- f n)) 3) (pow (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (+ f n) (cbrt (- f n))) 3) (pow (/ -1 (sqrt (- f n))) 3) (pow (/ (+ f n) (sqrt (- f n))) 3) (pow (/ -1 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ -1 (+ (sqrt f) (sqrt n))) 3) (pow (/ (+ f n) (- (sqrt f) (sqrt n))) 3) (pow (/ -1 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (cbrt (+ f n)) (cbrt (- f n))) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) 3) (pow (/ (cbrt (+ f n)) (sqrt (- f n))) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) 3) (pow (/ (cbrt (+ f n)) (- f n)) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) 3) (pow (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) 3) (pow (/ (cbrt (+ f n)) (- f n)) 3) (pow (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (sqrt (+ f n)) (cbrt (- f n))) 3) (pow (/ (- (sqrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (+ f n)) (sqrt (- f n))) 3) (pow (/ (- (sqrt (+ f n))) 1) 3) (pow (/ (sqrt (+ f n)) (- f n)) 3) (pow (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) 3) (pow (/ (- (sqrt (+ f n))) 1) 3) (pow (/ (sqrt (+ f n)) (- f n)) 3) (pow (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (+ f n) (cbrt (- f n))) 3) (pow (/ (- 1) (sqrt (- f n))) 3) (pow (/ (+ f n) (sqrt (- f n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- 1) (+ (sqrt f) (sqrt n))) 3) (pow (/ (+ f n) (- (sqrt f) (sqrt n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (+ f n) (cbrt (- f n))) 3) (pow (/ (- 1) (sqrt (- f n))) 3) (pow (/ (+ f n) (sqrt (- f n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (- 1) (+ (sqrt f) (sqrt n))) 3) (pow (/ (+ f n) (- (sqrt f) (sqrt n))) 3) (pow (/ (- 1) 1) 3) (pow (/ (+ f n) (- f n)) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (- (cbrt (+ f n))) (cbrt (- f n))) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (- (cbrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 3) (pow (/ (- (cbrt (+ f n))) (- f n)) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) 3) (pow (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) 3) (pow (/ (- (cbrt (+ f n))) (- f n)) 3) (pow (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) 3) (pow (/ (- (sqrt (+ f n))) (cbrt (- f n))) 3) (pow (/ (sqrt (+ f n)) (sqrt (- f n))) 3) (pow (/ (- (sqrt (+ f n))) (sqrt (- f n))) 3) (pow (/ (sqrt (+ f n)) 1) 3) (pow (/ (- (sqrt (+ f n))) (- f n)) 3) (pow (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) 3) (pow (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) 3) (pow (/ (sqrt (+ f n)) 1) 3) 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(sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt 1) (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (/ (- (+ f n)) (- f n)) (/ 3 2))) (cbrt (pow (- (+ f n)) 3)) (cbrt (pow (- f n) 3)) (* (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3)))) (cbrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (* (* (cbrt (pow (/ (- (+ f n)) (- f n)) 3)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) (sqrt (cbrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 -1 -1 1 -1 -1 (* -1 (cbrt -1)) (cbrt -1) -1 8.763 * * [simplify]: Extracting # 0 : cost 0 8.763 * * [simplify]: Extracting # 1 : cost 0 8.764 * * [simplify]: Extracting # 2 : cost 0 8.764 * * [simplify]: Extracting # 3 : cost 0 8.764 * * [simplify]: Extracting # 4 : cost 0 8.765 * * [simplify]: Extracting # 5 : cost 0 8.765 * * [simplify]: Extracting # 6 : cost 0 8.766 * * [simplify]: Extracting # 7 : cost 0 8.766 * * [simplify]: iteration 0 : 318 enodes (cost 8107 ) 8.929 * * [simplify]: Extracting # 0 : cost 0 8.930 * * [simplify]: Extracting # 1 : cost 0 8.932 * * [simplify]: Extracting # 2 : cost 0 8.933 * * [simplify]: Extracting # 3 : cost 0 8.934 * * [simplify]: Extracting # 4 : cost 0 8.935 * * [simplify]: iteration 1 : 944 enodes (cost 6800 ) 9.303 * * [simplify]: Extracting # 0 : cost 0 9.307 * * [simplify]: Extracting # 1 : cost 0 9.310 * * [simplify]: Extracting # 2 : cost 0 9.314 * * [simplify]: Extracting # 3 : cost 0 9.320 * * [simplify]: Extracting # 4 : cost 0 9.325 * * [simplify]: iteration 2 : 2858 enodes (cost 6258 ) 10.481 * * [simplify]: Extracting # 0 : cost 0 10.493 * * [simplify]: Extracting # 1 : cost 0 10.516 * * [simplify]: Extracting # 2 : cost 0 10.528 * * [simplify]: Extracting # 3 : cost 0 10.540 * * [simplify]: Extracting # 4 : cost 0 10.552 * * [simplify]: iteration done: 5000 enodes (cost 6258 ) 10.558 * 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n)))) 1 (/ (- (+ f n)) (- f n)) (cbrt (/ 1 (* (- f n) (- 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)) (/ 1 (- f n)) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (+ (* n (+ f n)) (* f f)) (/ (- (+ f n)) (- (* f f) (* n n))) (+ f n) (- (cbrt (/ (+ f n) (- f n)))) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) (cbrt (sqrt (pow (/ (- (+ f n)) (- f n)) 3))) 1 (/ (- (+ f n)) (- f n)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (cbrt (pow (/ (- (+ f n)) (- f n)) 3/2)) (- (+ f n)) (- f n) (cbrt (pow (/ (- (+ f n)) (- f n)) 2)) (- (cbrt (/ (+ f n) (- f n)))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) 1 -1 -1 1 -1 -1 1 -1 -1 10.566 * * * [progress]: adding candidates to table 11.250 * * [progress]: iteration 4 / 4 11.250 * * * [progress]: picking best candidate 11.260 * * * * [pick]: Picked # 11.260 * * * [progress]: localizing error 11.282 * * * [progress]: generating rewritten candidates 11.282 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 11.291 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 1 2) 11.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 11.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 11.318 * * * [progress]: generating series expansions 11.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 11.318 * [backup-simplify]: Simplify (cbrt (+ f n)) into (pow (+ n f) 1/3) 11.319 * [approximate]: Taking taylor expansion of (pow (+ n f) 1/3) in (f n) around 0 11.319 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 11.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 11.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 11.319 * [taylor]: Taking taylor expansion of 1/3 in n 11.319 * [backup-simplify]: Simplify 1/3 into 1/3 11.319 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 11.319 * [taylor]: Taking taylor expansion of (+ n f) in n 11.319 * [taylor]: Taking taylor expansion of n in n 11.319 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify 1 into 1 11.319 * [taylor]: Taking taylor expansion of f in n 11.319 * [backup-simplify]: Simplify f into f 11.319 * [backup-simplify]: Simplify (+ 0 f) into f 11.319 * [backup-simplify]: Simplify (log f) into (log f) 11.319 * [backup-simplify]: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) 11.319 * [backup-simplify]: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) 11.319 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 11.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 11.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 11.320 * [taylor]: Taking taylor expansion of 1/3 in f 11.320 * [backup-simplify]: Simplify 1/3 into 1/3 11.320 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 11.320 * [taylor]: Taking taylor expansion of (+ n f) in f 11.320 * [taylor]: Taking taylor expansion of n in f 11.320 * [backup-simplify]: Simplify n into n 11.320 * [taylor]: Taking taylor expansion of f in f 11.320 * [backup-simplify]: Simplify 0 into 0 11.320 * [backup-simplify]: Simplify 1 into 1 11.320 * [backup-simplify]: Simplify (+ n 0) into n 11.320 * [backup-simplify]: Simplify (log n) into (log n) 11.320 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.320 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.320 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 11.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 11.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 11.320 * [taylor]: Taking taylor expansion of 1/3 in f 11.320 * [backup-simplify]: Simplify 1/3 into 1/3 11.320 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 11.320 * [taylor]: Taking taylor expansion of (+ n f) in f 11.320 * [taylor]: Taking taylor expansion of n in f 11.320 * [backup-simplify]: Simplify n into n 11.320 * [taylor]: Taking taylor expansion of f in f 11.320 * [backup-simplify]: Simplify 0 into 0 11.320 * [backup-simplify]: Simplify 1 into 1 11.320 * [backup-simplify]: Simplify (+ n 0) into n 11.320 * [backup-simplify]: Simplify (log n) into (log n) 11.320 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.321 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.321 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 11.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 11.321 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 11.321 * [taylor]: Taking taylor expansion of 1/3 in n 11.321 * [backup-simplify]: Simplify 1/3 into 1/3 11.321 * [taylor]: Taking taylor expansion of (log n) in n 11.321 * [taylor]: Taking taylor expansion of n in n 11.321 * [backup-simplify]: Simplify 0 into 0 11.321 * [backup-simplify]: Simplify 1 into 1 11.332 * [backup-simplify]: Simplify (log 1) into 0 11.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.333 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.333 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.333 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 11.334 * [backup-simplify]: Simplify (+ 0 1) into 1 11.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 11.335 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) 11.336 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.336 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n 11.336 * [taylor]: Taking taylor expansion of 1/3 in n 11.336 * [backup-simplify]: Simplify 1/3 into 1/3 11.336 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 11.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 11.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 11.336 * [taylor]: Taking taylor expansion of 1/3 in n 11.336 * [backup-simplify]: Simplify 1/3 into 1/3 11.336 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 11.336 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.336 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.336 * [taylor]: Taking taylor expansion of n in n 11.336 * [backup-simplify]: Simplify 0 into 0 11.336 * [backup-simplify]: Simplify 1 into 1 11.337 * [backup-simplify]: Simplify (* 1 1) into 1 11.337 * [backup-simplify]: Simplify (/ 1 1) into 1 11.338 * [backup-simplify]: Simplify (log 1) into 0 11.338 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) 11.338 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) 11.339 * [backup-simplify]: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) 11.339 * [backup-simplify]: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.339 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 11.343 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 11.343 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify (+ 0 0) into 0 11.347 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 11.347 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.348 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n 11.348 * [taylor]: Taking taylor expansion of -1/9 in n 11.348 * [backup-simplify]: Simplify -1/9 into -1/9 11.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 11.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 11.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 11.348 * [taylor]: Taking taylor expansion of 1/3 in n 11.348 * [backup-simplify]: Simplify 1/3 into 1/3 11.348 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 11.348 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 11.348 * [taylor]: Taking taylor expansion of (pow n 5) in n 11.348 * [taylor]: Taking taylor expansion of n in n 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 1 into 1 11.349 * [backup-simplify]: Simplify (* 1 1) into 1 11.349 * [backup-simplify]: Simplify (* 1 1) into 1 11.349 * [backup-simplify]: Simplify (* 1 1) into 1 11.350 * [backup-simplify]: Simplify (/ 1 1) into 1 11.350 * [backup-simplify]: Simplify (log 1) into 0 11.351 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) 11.351 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) 11.351 * [backup-simplify]: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) 11.351 * [backup-simplify]: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.351 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.352 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) 11.352 * [backup-simplify]: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (pow (+ (/ 1 f) (/ 1 n)) 1/3) 11.352 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 11.352 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 11.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 11.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 11.352 * [taylor]: Taking taylor expansion of 1/3 in n 11.352 * [backup-simplify]: Simplify 1/3 into 1/3 11.352 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 11.352 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.352 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.352 * [taylor]: Taking taylor expansion of f in n 11.352 * [backup-simplify]: Simplify f into f 11.352 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.352 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.352 * [taylor]: Taking taylor expansion of n in n 11.352 * [backup-simplify]: Simplify 0 into 0 11.352 * [backup-simplify]: Simplify 1 into 1 11.353 * [backup-simplify]: Simplify (/ 1 1) into 1 11.353 * [backup-simplify]: Simplify (+ 0 1) into 1 11.353 * [backup-simplify]: Simplify (log 1) into 0 11.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.354 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 11.354 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 11.354 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.354 * [taylor]: Taking taylor expansion of 1/3 in f 11.354 * [backup-simplify]: Simplify 1/3 into 1/3 11.354 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.354 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.354 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.354 * [taylor]: Taking taylor expansion of f in f 11.354 * [backup-simplify]: Simplify 0 into 0 11.354 * [backup-simplify]: Simplify 1 into 1 11.354 * [backup-simplify]: Simplify (/ 1 1) into 1 11.354 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.354 * [taylor]: Taking taylor expansion of n in f 11.354 * [backup-simplify]: Simplify n into n 11.354 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.355 * [backup-simplify]: Simplify (+ 1 0) into 1 11.355 * [backup-simplify]: Simplify (log 1) into 0 11.355 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.355 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.355 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.355 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.355 * [taylor]: Taking taylor expansion of 1/3 in f 11.355 * [backup-simplify]: Simplify 1/3 into 1/3 11.355 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.355 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.356 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.356 * [taylor]: Taking taylor expansion of f in f 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [backup-simplify]: Simplify (/ 1 1) into 1 11.356 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.356 * [taylor]: Taking taylor expansion of n in f 11.356 * [backup-simplify]: Simplify n into n 11.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.356 * [backup-simplify]: Simplify (+ 1 0) into 1 11.357 * [backup-simplify]: Simplify (log 1) into 0 11.357 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.357 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.357 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.357 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 11.357 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 11.357 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 11.357 * [taylor]: Taking taylor expansion of -1/3 in n 11.357 * [backup-simplify]: Simplify -1/3 into -1/3 11.357 * [taylor]: Taking taylor expansion of (log f) in n 11.357 * [taylor]: Taking taylor expansion of f in n 11.357 * [backup-simplify]: Simplify f into f 11.357 * [backup-simplify]: Simplify (log f) into (log f) 11.357 * [backup-simplify]: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) 11.357 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.357 * [backup-simplify]: Simplify (pow f -1/3) into (pow f -1/3) 11.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.358 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 11.359 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.359 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) 11.359 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.359 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 11.359 * [taylor]: Taking taylor expansion of 1/3 in n 11.359 * [backup-simplify]: Simplify 1/3 into 1/3 11.359 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 11.359 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.359 * [taylor]: Taking taylor expansion of n in n 11.359 * [backup-simplify]: Simplify 0 into 0 11.359 * [backup-simplify]: Simplify 1 into 1 11.360 * [backup-simplify]: Simplify (/ 1 1) into 1 11.360 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.360 * [taylor]: Taking taylor expansion of 1/3 in n 11.360 * [backup-simplify]: Simplify 1/3 into 1/3 11.360 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.360 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.360 * [taylor]: Taking taylor expansion of f in n 11.360 * [backup-simplify]: Simplify f into f 11.360 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.360 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.360 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.360 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.361 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.362 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.363 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.363 * [backup-simplify]: Simplify 0 into 0 11.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 11.364 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 11.365 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 11.365 * [backup-simplify]: Simplify 0 into 0 11.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.366 * [backup-simplify]: Simplify (+ 0 0) into 0 11.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 11.367 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.367 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.368 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 11.368 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 11.368 * [taylor]: Taking taylor expansion of -1/9 in n 11.368 * [backup-simplify]: Simplify -1/9 into -1/9 11.368 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 11.368 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.368 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.368 * [taylor]: Taking taylor expansion of n in n 11.368 * [backup-simplify]: Simplify 0 into 0 11.368 * [backup-simplify]: Simplify 1 into 1 11.368 * [backup-simplify]: Simplify (* 1 1) into 1 11.368 * [backup-simplify]: Simplify (/ 1 1) into 1 11.368 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.368 * [taylor]: Taking taylor expansion of 1/3 in n 11.368 * [backup-simplify]: Simplify 1/3 into 1/3 11.368 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.368 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.369 * [taylor]: Taking taylor expansion of f in n 11.369 * [backup-simplify]: Simplify f into f 11.369 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.369 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.369 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.369 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.370 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.372 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.376 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.377 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.377 * [backup-simplify]: Simplify 0 into 0 11.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.380 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 11.386 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 11.387 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.387 * [backup-simplify]: Simplify 0 into 0 11.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.389 * [backup-simplify]: Simplify (+ 0 0) into 0 11.392 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 11.392 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.393 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) 11.394 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 11.394 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 11.394 * [taylor]: Taking taylor expansion of 5/81 in n 11.394 * [backup-simplify]: Simplify 5/81 into 5/81 11.394 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 11.394 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.394 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.394 * [taylor]: Taking taylor expansion of n in n 11.395 * [backup-simplify]: Simplify 0 into 0 11.395 * [backup-simplify]: Simplify 1 into 1 11.395 * [backup-simplify]: Simplify (* 1 1) into 1 11.396 * [backup-simplify]: Simplify (* 1 1) into 1 11.396 * [backup-simplify]: Simplify (/ 1 1) into 1 11.396 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.396 * [taylor]: Taking taylor expansion of 1/3 in n 11.396 * [backup-simplify]: Simplify 1/3 into 1/3 11.396 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.396 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.396 * [taylor]: Taking taylor expansion of f in n 11.396 * [backup-simplify]: Simplify f into f 11.396 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.396 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.397 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.397 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.402 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.405 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 11.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 11.409 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.423 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.425 * [backup-simplify]: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.425 * [backup-simplify]: Simplify 0 into 0 11.425 * [backup-simplify]: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) 11.425 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) 11.426 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 11.426 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 11.426 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.426 * [taylor]: Taking taylor expansion of -1 in n 11.426 * [backup-simplify]: Simplify -1 into -1 11.426 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.427 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.427 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 11.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 11.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 11.427 * [taylor]: Taking taylor expansion of 1/3 in n 11.427 * [backup-simplify]: Simplify 1/3 into 1/3 11.427 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 11.427 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.427 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.427 * [taylor]: Taking taylor expansion of f in n 11.427 * [backup-simplify]: Simplify f into f 11.427 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.427 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.427 * [taylor]: Taking taylor expansion of n in n 11.428 * [backup-simplify]: Simplify 0 into 0 11.428 * [backup-simplify]: Simplify 1 into 1 11.428 * [backup-simplify]: Simplify (/ 1 1) into 1 11.428 * [backup-simplify]: Simplify (+ 0 1) into 1 11.429 * [backup-simplify]: Simplify (log 1) into 0 11.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.429 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 11.429 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 11.430 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 11.430 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.430 * [taylor]: Taking taylor expansion of -1 in f 11.430 * [backup-simplify]: Simplify -1 into -1 11.430 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.431 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.431 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.431 * [taylor]: Taking taylor expansion of 1/3 in f 11.431 * [backup-simplify]: Simplify 1/3 into 1/3 11.431 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.431 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.431 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.431 * [taylor]: Taking taylor expansion of f in f 11.431 * [backup-simplify]: Simplify 0 into 0 11.431 * [backup-simplify]: Simplify 1 into 1 11.432 * [backup-simplify]: Simplify (/ 1 1) into 1 11.432 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.432 * [taylor]: Taking taylor expansion of n in f 11.432 * [backup-simplify]: Simplify n into n 11.432 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.432 * [backup-simplify]: Simplify (+ 1 0) into 1 11.433 * [backup-simplify]: Simplify (log 1) into 0 11.433 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.433 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.433 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.433 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 11.433 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.433 * [taylor]: Taking taylor expansion of -1 in f 11.433 * [backup-simplify]: Simplify -1 into -1 11.434 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.434 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.435 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.435 * [taylor]: Taking taylor expansion of 1/3 in f 11.435 * [backup-simplify]: Simplify 1/3 into 1/3 11.435 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.435 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.435 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.435 * [taylor]: Taking taylor expansion of f in f 11.435 * [backup-simplify]: Simplify 0 into 0 11.435 * [backup-simplify]: Simplify 1 into 1 11.435 * [backup-simplify]: Simplify (/ 1 1) into 1 11.435 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.435 * [taylor]: Taking taylor expansion of n in f 11.435 * [backup-simplify]: Simplify n into n 11.435 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.436 * [backup-simplify]: Simplify (+ 1 0) into 1 11.436 * [backup-simplify]: Simplify (log 1) into 0 11.437 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.437 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.437 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.437 * [backup-simplify]: Simplify (* (cbrt -1) (pow f -1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.438 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 11.438 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.438 * [taylor]: Taking taylor expansion of -1 in n 11.438 * [backup-simplify]: Simplify -1 into -1 11.438 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.439 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.439 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.439 * [taylor]: Taking taylor expansion of 1/3 in n 11.439 * [backup-simplify]: Simplify 1/3 into 1/3 11.439 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.439 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.439 * [taylor]: Taking taylor expansion of f in n 11.439 * [backup-simplify]: Simplify f into f 11.439 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.439 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.439 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.439 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.440 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.441 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.442 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 11.444 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.444 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) 11.444 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.445 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3))) into (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) 11.445 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 11.446 * [taylor]: Taking taylor expansion of 1/3 in n 11.446 * [backup-simplify]: Simplify 1/3 into 1/3 11.446 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 11.446 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 11.446 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.446 * [taylor]: Taking taylor expansion of -1 in n 11.446 * [backup-simplify]: Simplify -1 into -1 11.446 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.447 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.447 * [taylor]: Taking taylor expansion of n in n 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 1 into 1 11.448 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.448 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.448 * [taylor]: Taking taylor expansion of 1/3 in n 11.448 * [backup-simplify]: Simplify 1/3 into 1/3 11.449 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.449 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.449 * [taylor]: Taking taylor expansion of f in n 11.449 * [backup-simplify]: Simplify f into f 11.449 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.449 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.449 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.449 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.453 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.453 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3)))) into 0 11.454 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.456 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.456 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.457 * [backup-simplify]: Simplify (+ 0 0) into 0 11.458 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 11.458 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.459 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.459 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 11.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.461 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3)))) into (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) 11.461 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 11.461 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 11.461 * [taylor]: Taking taylor expansion of 1/9 in n 11.461 * [backup-simplify]: Simplify 1/9 into 1/9 11.461 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 11.461 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 11.461 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.461 * [taylor]: Taking taylor expansion of -1 in n 11.461 * [backup-simplify]: Simplify -1 into -1 11.461 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.462 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.462 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.462 * [taylor]: Taking taylor expansion of n in n 11.462 * [backup-simplify]: Simplify 0 into 0 11.462 * [backup-simplify]: Simplify 1 into 1 11.462 * [backup-simplify]: Simplify (* 1 1) into 1 11.463 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.463 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.463 * [taylor]: Taking taylor expansion of 1/3 in n 11.463 * [backup-simplify]: Simplify 1/3 into 1/3 11.463 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.463 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.463 * [taylor]: Taking taylor expansion of f in n 11.463 * [backup-simplify]: Simplify f into f 11.463 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.463 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.463 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.463 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.464 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.464 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.467 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.474 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.477 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.477 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.478 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.479 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3))))) into 0 11.479 * [backup-simplify]: Simplify (- 0) into 0 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.481 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.482 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.485 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3))))) into 0 11.486 * [backup-simplify]: Simplify 0 into 0 11.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.490 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.491 * [backup-simplify]: Simplify (+ 0 0) into 0 11.493 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 11.493 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.494 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) 11.494 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 11.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.496 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3))))) into (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) 11.496 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 11.496 * [taylor]: Taking taylor expansion of 5/81 in n 11.496 * [backup-simplify]: Simplify 5/81 into 5/81 11.496 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 11.496 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 11.496 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.496 * [taylor]: Taking taylor expansion of -1 in n 11.497 * [backup-simplify]: Simplify -1 into -1 11.497 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.497 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.497 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.497 * [taylor]: Taking taylor expansion of n in n 11.497 * [backup-simplify]: Simplify 0 into 0 11.497 * [backup-simplify]: Simplify 1 into 1 11.498 * [backup-simplify]: Simplify (* 1 1) into 1 11.498 * [backup-simplify]: Simplify (* 1 1) into 1 11.498 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.498 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.498 * [taylor]: Taking taylor expansion of 1/3 in n 11.499 * [backup-simplify]: Simplify 1/3 into 1/3 11.499 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.499 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.499 * [taylor]: Taking taylor expansion of f in n 11.499 * [backup-simplify]: Simplify f into f 11.499 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.499 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.499 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.499 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.505 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 11.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 11.508 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.511 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.517 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.523 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.524 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.525 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.526 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.528 * [backup-simplify]: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3)))))) into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.529 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- f))) 1/3)) into (* (pow (* -1 f) 1/3) (cbrt -1)) 11.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 1 2) 11.529 * [backup-simplify]: Simplify (cbrt (+ f n)) into (pow (+ n f) 1/3) 11.529 * [approximate]: Taking taylor expansion of (pow (+ n f) 1/3) in (f n) around 0 11.529 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 11.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 11.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 11.529 * [taylor]: Taking taylor expansion of 1/3 in n 11.529 * [backup-simplify]: Simplify 1/3 into 1/3 11.530 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 11.530 * [taylor]: Taking taylor expansion of (+ n f) in n 11.530 * [taylor]: Taking taylor expansion of n in n 11.530 * [backup-simplify]: Simplify 0 into 0 11.530 * [backup-simplify]: Simplify 1 into 1 11.530 * [taylor]: Taking taylor expansion of f in n 11.530 * [backup-simplify]: Simplify f into f 11.530 * [backup-simplify]: Simplify (+ 0 f) into f 11.530 * [backup-simplify]: Simplify (log f) into (log f) 11.530 * [backup-simplify]: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) 11.530 * [backup-simplify]: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) 11.530 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 11.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 11.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 11.530 * [taylor]: Taking taylor expansion of 1/3 in f 11.530 * [backup-simplify]: Simplify 1/3 into 1/3 11.530 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 11.530 * [taylor]: Taking taylor expansion of (+ n f) in f 11.530 * [taylor]: Taking taylor expansion of n in f 11.530 * [backup-simplify]: Simplify n into n 11.530 * [taylor]: Taking taylor expansion of f in f 11.530 * [backup-simplify]: Simplify 0 into 0 11.530 * [backup-simplify]: Simplify 1 into 1 11.530 * [backup-simplify]: Simplify (+ n 0) into n 11.530 * [backup-simplify]: Simplify (log n) into (log n) 11.530 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.530 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.531 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 11.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 11.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 11.531 * [taylor]: Taking taylor expansion of 1/3 in f 11.531 * [backup-simplify]: Simplify 1/3 into 1/3 11.531 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 11.531 * [taylor]: Taking taylor expansion of (+ n f) in f 11.531 * [taylor]: Taking taylor expansion of n in f 11.531 * [backup-simplify]: Simplify n into n 11.531 * [taylor]: Taking taylor expansion of f in f 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify 1 into 1 11.531 * [backup-simplify]: Simplify (+ n 0) into n 11.531 * [backup-simplify]: Simplify (log n) into (log n) 11.531 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.531 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.531 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 11.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 11.531 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 11.531 * [taylor]: Taking taylor expansion of 1/3 in n 11.531 * [backup-simplify]: Simplify 1/3 into 1/3 11.531 * [taylor]: Taking taylor expansion of (log n) in n 11.531 * [taylor]: Taking taylor expansion of n in n 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify 1 into 1 11.532 * [backup-simplify]: Simplify (log 1) into 0 11.532 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.532 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.533 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.533 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 11.533 * [backup-simplify]: Simplify (+ 0 1) into 1 11.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 11.534 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) 11.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.534 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n 11.534 * [taylor]: Taking taylor expansion of 1/3 in n 11.535 * [backup-simplify]: Simplify 1/3 into 1/3 11.535 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 11.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 11.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 11.535 * [taylor]: Taking taylor expansion of 1/3 in n 11.535 * [backup-simplify]: Simplify 1/3 into 1/3 11.535 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 11.535 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.535 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.535 * [taylor]: Taking taylor expansion of n in n 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (* 1 1) into 1 11.536 * [backup-simplify]: Simplify (/ 1 1) into 1 11.536 * [backup-simplify]: Simplify (log 1) into 0 11.536 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) 11.537 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) 11.537 * [backup-simplify]: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) 11.537 * [backup-simplify]: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.537 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.539 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 11.540 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 11.540 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify (+ 0 0) into 0 11.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 11.543 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.543 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.543 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n 11.544 * [taylor]: Taking taylor expansion of -1/9 in n 11.544 * [backup-simplify]: Simplify -1/9 into -1/9 11.544 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 11.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 11.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 11.544 * [taylor]: Taking taylor expansion of 1/3 in n 11.544 * [backup-simplify]: Simplify 1/3 into 1/3 11.544 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 11.544 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 11.544 * [taylor]: Taking taylor expansion of (pow n 5) in n 11.544 * [taylor]: Taking taylor expansion of n in n 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify 1 into 1 11.544 * [backup-simplify]: Simplify (* 1 1) into 1 11.545 * [backup-simplify]: Simplify (* 1 1) into 1 11.545 * [backup-simplify]: Simplify (* 1 1) into 1 11.545 * [backup-simplify]: Simplify (/ 1 1) into 1 11.546 * [backup-simplify]: Simplify (log 1) into 0 11.546 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) 11.546 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) 11.546 * [backup-simplify]: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) 11.547 * [backup-simplify]: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.547 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.548 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) 11.548 * [backup-simplify]: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (pow (+ (/ 1 f) (/ 1 n)) 1/3) 11.548 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 11.548 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 11.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 11.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 11.548 * [taylor]: Taking taylor expansion of 1/3 in n 11.548 * [backup-simplify]: Simplify 1/3 into 1/3 11.548 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 11.548 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.548 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.548 * [taylor]: Taking taylor expansion of f in n 11.548 * [backup-simplify]: Simplify f into f 11.548 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.548 * [taylor]: Taking taylor expansion of n in n 11.548 * [backup-simplify]: Simplify 0 into 0 11.549 * [backup-simplify]: Simplify 1 into 1 11.549 * [backup-simplify]: Simplify (/ 1 1) into 1 11.549 * [backup-simplify]: Simplify (+ 0 1) into 1 11.550 * [backup-simplify]: Simplify (log 1) into 0 11.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.550 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 11.550 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 11.550 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.551 * [taylor]: Taking taylor expansion of 1/3 in f 11.551 * [backup-simplify]: Simplify 1/3 into 1/3 11.551 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.551 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.551 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.551 * [taylor]: Taking taylor expansion of f in f 11.551 * [backup-simplify]: Simplify 0 into 0 11.551 * [backup-simplify]: Simplify 1 into 1 11.551 * [backup-simplify]: Simplify (/ 1 1) into 1 11.551 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.551 * [taylor]: Taking taylor expansion of n in f 11.551 * [backup-simplify]: Simplify n into n 11.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.552 * [backup-simplify]: Simplify (+ 1 0) into 1 11.552 * [backup-simplify]: Simplify (log 1) into 0 11.553 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.553 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.553 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.553 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.553 * [taylor]: Taking taylor expansion of 1/3 in f 11.553 * [backup-simplify]: Simplify 1/3 into 1/3 11.553 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.553 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.553 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.553 * [taylor]: Taking taylor expansion of f in f 11.553 * [backup-simplify]: Simplify 0 into 0 11.553 * [backup-simplify]: Simplify 1 into 1 11.554 * [backup-simplify]: Simplify (/ 1 1) into 1 11.554 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.554 * [taylor]: Taking taylor expansion of n in f 11.554 * [backup-simplify]: Simplify n into n 11.554 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.554 * [backup-simplify]: Simplify (+ 1 0) into 1 11.555 * [backup-simplify]: Simplify (log 1) into 0 11.555 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.555 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.555 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.555 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 11.555 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 11.555 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 11.555 * [taylor]: Taking taylor expansion of -1/3 in n 11.555 * [backup-simplify]: Simplify -1/3 into -1/3 11.556 * [taylor]: Taking taylor expansion of (log f) in n 11.556 * [taylor]: Taking taylor expansion of f in n 11.556 * [backup-simplify]: Simplify f into f 11.556 * [backup-simplify]: Simplify (log f) into (log f) 11.556 * [backup-simplify]: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) 11.556 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.556 * [backup-simplify]: Simplify (pow f -1/3) into (pow f -1/3) 11.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.557 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 11.558 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.558 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) 11.559 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.559 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 11.559 * [taylor]: Taking taylor expansion of 1/3 in n 11.559 * [backup-simplify]: Simplify 1/3 into 1/3 11.559 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 11.559 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.559 * [taylor]: Taking taylor expansion of n in n 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify (/ 1 1) into 1 11.559 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.559 * [taylor]: Taking taylor expansion of 1/3 in n 11.559 * [backup-simplify]: Simplify 1/3 into 1/3 11.559 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.559 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.559 * [taylor]: Taking taylor expansion of f in n 11.560 * [backup-simplify]: Simplify f into f 11.560 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.560 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.560 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.560 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.561 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.564 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.565 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.565 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 11.566 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 11.567 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 11.567 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.568 * [backup-simplify]: Simplify (+ 0 0) into 0 11.570 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 11.571 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.571 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.572 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 11.572 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 11.572 * [taylor]: Taking taylor expansion of -1/9 in n 11.572 * [backup-simplify]: Simplify -1/9 into -1/9 11.572 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 11.572 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.572 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.572 * [taylor]: Taking taylor expansion of n in n 11.572 * [backup-simplify]: Simplify 0 into 0 11.572 * [backup-simplify]: Simplify 1 into 1 11.573 * [backup-simplify]: Simplify (* 1 1) into 1 11.573 * [backup-simplify]: Simplify (/ 1 1) into 1 11.573 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.573 * [taylor]: Taking taylor expansion of 1/3 in n 11.573 * [backup-simplify]: Simplify 1/3 into 1/3 11.573 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.573 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.573 * [taylor]: Taking taylor expansion of f in n 11.573 * [backup-simplify]: Simplify f into f 11.573 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.573 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.573 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.574 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.575 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.575 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.580 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.587 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.588 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.588 * [backup-simplify]: Simplify 0 into 0 11.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.592 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.595 * [backup-simplify]: Simplify 0 into 0 11.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 11.597 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 11.598 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.598 * [backup-simplify]: Simplify 0 into 0 11.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.599 * [backup-simplify]: Simplify (+ 0 0) into 0 11.600 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 11.601 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.601 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) 11.602 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 11.602 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 11.602 * [taylor]: Taking taylor expansion of 5/81 in n 11.602 * [backup-simplify]: Simplify 5/81 into 5/81 11.602 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 11.602 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.602 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.602 * [taylor]: Taking taylor expansion of n in n 11.602 * [backup-simplify]: Simplify 0 into 0 11.602 * [backup-simplify]: Simplify 1 into 1 11.602 * [backup-simplify]: Simplify (* 1 1) into 1 11.603 * [backup-simplify]: Simplify (* 1 1) into 1 11.603 * [backup-simplify]: Simplify (/ 1 1) into 1 11.603 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.603 * [taylor]: Taking taylor expansion of 1/3 in n 11.603 * [backup-simplify]: Simplify 1/3 into 1/3 11.603 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.603 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.603 * [taylor]: Taking taylor expansion of f in n 11.603 * [backup-simplify]: Simplify f into f 11.603 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.603 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.603 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.603 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.613 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 11.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 11.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.618 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.620 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.624 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.625 * [backup-simplify]: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) 11.625 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) 11.625 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 11.625 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 11.625 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.625 * [taylor]: Taking taylor expansion of -1 in n 11.625 * [backup-simplify]: Simplify -1 into -1 11.626 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.626 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.626 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 11.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 11.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 11.626 * [taylor]: Taking taylor expansion of 1/3 in n 11.626 * [backup-simplify]: Simplify 1/3 into 1/3 11.626 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 11.626 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.626 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.626 * [taylor]: Taking taylor expansion of f in n 11.626 * [backup-simplify]: Simplify f into f 11.626 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.626 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.626 * [taylor]: Taking taylor expansion of n in n 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify 1 into 1 11.627 * [backup-simplify]: Simplify (/ 1 1) into 1 11.627 * [backup-simplify]: Simplify (+ 0 1) into 1 11.628 * [backup-simplify]: Simplify (log 1) into 0 11.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.628 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 11.628 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 11.628 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 11.628 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.628 * [taylor]: Taking taylor expansion of -1 in f 11.628 * [backup-simplify]: Simplify -1 into -1 11.629 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.630 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.630 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.630 * [taylor]: Taking taylor expansion of 1/3 in f 11.630 * [backup-simplify]: Simplify 1/3 into 1/3 11.630 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.630 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.630 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.630 * [taylor]: Taking taylor expansion of f in f 11.630 * [backup-simplify]: Simplify 0 into 0 11.630 * [backup-simplify]: Simplify 1 into 1 11.630 * [backup-simplify]: Simplify (/ 1 1) into 1 11.630 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.631 * [taylor]: Taking taylor expansion of n in f 11.631 * [backup-simplify]: Simplify n into n 11.631 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.631 * [backup-simplify]: Simplify (+ 1 0) into 1 11.632 * [backup-simplify]: Simplify (log 1) into 0 11.632 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.632 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.632 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.632 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 11.632 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.632 * [taylor]: Taking taylor expansion of -1 in f 11.632 * [backup-simplify]: Simplify -1 into -1 11.633 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.634 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.634 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.634 * [taylor]: Taking taylor expansion of 1/3 in f 11.634 * [backup-simplify]: Simplify 1/3 into 1/3 11.634 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.634 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.634 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.634 * [taylor]: Taking taylor expansion of f in f 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [backup-simplify]: Simplify (/ 1 1) into 1 11.635 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.635 * [taylor]: Taking taylor expansion of n in f 11.635 * [backup-simplify]: Simplify n into n 11.635 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.635 * [backup-simplify]: Simplify (+ 1 0) into 1 11.636 * [backup-simplify]: Simplify (log 1) into 0 11.636 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.636 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.636 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.637 * [backup-simplify]: Simplify (* (cbrt -1) (pow f -1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.637 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 11.637 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.637 * [taylor]: Taking taylor expansion of -1 in n 11.637 * [backup-simplify]: Simplify -1 into -1 11.638 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.639 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.639 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.639 * [taylor]: Taking taylor expansion of 1/3 in n 11.639 * [backup-simplify]: Simplify 1/3 into 1/3 11.639 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.639 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.639 * [taylor]: Taking taylor expansion of f in n 11.639 * [backup-simplify]: Simplify f into f 11.639 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.639 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.639 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.639 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.640 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.641 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 11.643 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.643 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) 11.644 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.645 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3))) into (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) 11.645 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 11.645 * [taylor]: Taking taylor expansion of 1/3 in n 11.645 * [backup-simplify]: Simplify 1/3 into 1/3 11.645 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 11.645 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 11.645 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.645 * [taylor]: Taking taylor expansion of -1 in n 11.645 * [backup-simplify]: Simplify -1 into -1 11.645 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.646 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.646 * [taylor]: Taking taylor expansion of n in n 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.647 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.647 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.648 * [taylor]: Taking taylor expansion of 1/3 in n 11.648 * [backup-simplify]: Simplify 1/3 into 1/3 11.648 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.648 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.648 * [taylor]: Taking taylor expansion of f in n 11.648 * [backup-simplify]: Simplify f into f 11.648 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.648 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.648 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.648 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.653 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.654 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3)))) into 0 11.655 * [backup-simplify]: Simplify 0 into 0 11.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.656 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.657 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.658 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.660 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 11.662 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.663 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.664 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 11.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.667 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3)))) into (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) 11.667 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 11.667 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 11.667 * [taylor]: Taking taylor expansion of 1/9 in n 11.667 * [backup-simplify]: Simplify 1/9 into 1/9 11.667 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 11.667 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 11.667 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.667 * [taylor]: Taking taylor expansion of -1 in n 11.667 * [backup-simplify]: Simplify -1 into -1 11.668 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.669 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.669 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.669 * [taylor]: Taking taylor expansion of n in n 11.669 * [backup-simplify]: Simplify 0 into 0 11.669 * [backup-simplify]: Simplify 1 into 1 11.669 * [backup-simplify]: Simplify (* 1 1) into 1 11.670 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.670 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.670 * [taylor]: Taking taylor expansion of 1/3 in n 11.670 * [backup-simplify]: Simplify 1/3 into 1/3 11.670 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.670 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.670 * [taylor]: Taking taylor expansion of f in n 11.670 * [backup-simplify]: Simplify f into f 11.671 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.671 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.671 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.671 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.677 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.680 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.685 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.686 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.687 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.688 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3))))) into 0 11.689 * [backup-simplify]: Simplify (- 0) into 0 11.689 * [backup-simplify]: Simplify 0 into 0 11.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.693 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.697 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3))))) into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.702 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.703 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.706 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.706 * [backup-simplify]: Simplify 0 into 0 11.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.707 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 11.711 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.711 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) 11.713 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 11.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.716 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3))))) into (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) 11.716 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 11.717 * [taylor]: Taking taylor expansion of 5/81 in n 11.717 * [backup-simplify]: Simplify 5/81 into 5/81 11.717 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 11.717 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 11.717 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.717 * [taylor]: Taking taylor expansion of -1 in n 11.717 * [backup-simplify]: Simplify -1 into -1 11.717 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.718 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.718 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.718 * [taylor]: Taking taylor expansion of n in n 11.718 * [backup-simplify]: Simplify 0 into 0 11.718 * [backup-simplify]: Simplify 1 into 1 11.719 * [backup-simplify]: Simplify (* 1 1) into 1 11.719 * [backup-simplify]: Simplify (* 1 1) into 1 11.720 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.720 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.720 * [taylor]: Taking taylor expansion of 1/3 in n 11.720 * [backup-simplify]: Simplify 1/3 into 1/3 11.720 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.720 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.720 * [taylor]: Taking taylor expansion of f in n 11.720 * [backup-simplify]: Simplify f into f 11.720 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.720 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.721 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.721 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.722 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.729 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 11.730 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 11.732 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.736 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.742 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.748 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.749 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.749 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.750 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.752 * [backup-simplify]: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3)))))) into 0 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- f))) 1/3)) into (* (pow (* -1 f) 1/3) (cbrt -1)) 11.752 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 11.753 * [backup-simplify]: Simplify (cbrt (+ f n)) into (pow (+ n f) 1/3) 11.753 * [approximate]: Taking taylor expansion of (pow (+ n f) 1/3) in (f n) around 0 11.753 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in n 11.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in n 11.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in n 11.753 * [taylor]: Taking taylor expansion of 1/3 in n 11.753 * [backup-simplify]: Simplify 1/3 into 1/3 11.753 * [taylor]: Taking taylor expansion of (log (+ n f)) in n 11.753 * [taylor]: Taking taylor expansion of (+ n f) in n 11.753 * [taylor]: Taking taylor expansion of n in n 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.753 * [taylor]: Taking taylor expansion of f in n 11.753 * [backup-simplify]: Simplify f into f 11.753 * [backup-simplify]: Simplify (+ 0 f) into f 11.753 * [backup-simplify]: Simplify (log f) into (log f) 11.753 * [backup-simplify]: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) 11.753 * [backup-simplify]: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) 11.753 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 11.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 11.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 11.753 * [taylor]: Taking taylor expansion of 1/3 in f 11.753 * [backup-simplify]: Simplify 1/3 into 1/3 11.753 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 11.753 * [taylor]: Taking taylor expansion of (+ n f) in f 11.753 * [taylor]: Taking taylor expansion of n in f 11.753 * [backup-simplify]: Simplify n into n 11.753 * [taylor]: Taking taylor expansion of f in f 11.753 * [backup-simplify]: Simplify 0 into 0 11.753 * [backup-simplify]: Simplify 1 into 1 11.754 * [backup-simplify]: Simplify (+ n 0) into n 11.754 * [backup-simplify]: Simplify (log n) into (log n) 11.754 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.754 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.754 * [taylor]: Taking taylor expansion of (pow (+ n f) 1/3) in f 11.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ n f)))) in f 11.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ n f))) in f 11.754 * [taylor]: Taking taylor expansion of 1/3 in f 11.754 * [backup-simplify]: Simplify 1/3 into 1/3 11.754 * [taylor]: Taking taylor expansion of (log (+ n f)) in f 11.754 * [taylor]: Taking taylor expansion of (+ n f) in f 11.754 * [taylor]: Taking taylor expansion of n in f 11.754 * [backup-simplify]: Simplify n into n 11.754 * [taylor]: Taking taylor expansion of f in f 11.754 * [backup-simplify]: Simplify 0 into 0 11.754 * [backup-simplify]: Simplify 1 into 1 11.754 * [backup-simplify]: Simplify (+ n 0) into n 11.754 * [backup-simplify]: Simplify (log n) into (log n) 11.754 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.754 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.754 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 11.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 11.754 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 11.755 * [taylor]: Taking taylor expansion of 1/3 in n 11.755 * [backup-simplify]: Simplify 1/3 into 1/3 11.755 * [taylor]: Taking taylor expansion of (log n) in n 11.755 * [taylor]: Taking taylor expansion of n in n 11.755 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [backup-simplify]: Simplify (log 1) into 0 11.756 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.756 * [backup-simplify]: Simplify (* 1/3 (log n)) into (* 1/3 (log n)) 11.756 * [backup-simplify]: Simplify (exp (* 1/3 (log n))) into (pow n 1/3) 11.756 * [backup-simplify]: Simplify (pow n 1/3) into (pow n 1/3) 11.757 * [backup-simplify]: Simplify (+ 0 1) into 1 11.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) 11.758 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log n))) into (* 1/3 (/ 1 n)) 11.758 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.758 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) in n 11.758 * [taylor]: Taking taylor expansion of 1/3 in n 11.758 * [backup-simplify]: Simplify 1/3 into 1/3 11.758 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 2)) 1/3) in n 11.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 2))))) in n 11.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 2)))) in n 11.758 * [taylor]: Taking taylor expansion of 1/3 in n 11.758 * [backup-simplify]: Simplify 1/3 into 1/3 11.758 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 2))) in n 11.758 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.758 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.758 * [taylor]: Taking taylor expansion of n in n 11.758 * [backup-simplify]: Simplify 0 into 0 11.758 * [backup-simplify]: Simplify 1 into 1 11.759 * [backup-simplify]: Simplify (* 1 1) into 1 11.759 * [backup-simplify]: Simplify (/ 1 1) into 1 11.759 * [backup-simplify]: Simplify (log 1) into 0 11.760 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) 0) into (- (* 2 (log n))) 11.760 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log n)))) into (* -2/3 (log n)) 11.760 * [backup-simplify]: Simplify (exp (* -2/3 (log n))) into (pow n -2/3) 11.760 * [backup-simplify]: Simplify (* 1/3 (pow n -2/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.760 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) 11.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.768 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log n))) into 0 11.769 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 11.769 * [backup-simplify]: Simplify 0 into 0 11.770 * [backup-simplify]: Simplify (+ 0 0) into 0 11.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) 11.772 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log n)))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.773 * [backup-simplify]: Simplify (* (exp (* 1/3 (log n))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.773 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) in n 11.773 * [taylor]: Taking taylor expansion of -1/9 in n 11.773 * [backup-simplify]: Simplify -1/9 into -1/9 11.773 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 5)) 1/3) in n 11.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow n 5))))) in n 11.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow n 5)))) in n 11.773 * [taylor]: Taking taylor expansion of 1/3 in n 11.773 * [backup-simplify]: Simplify 1/3 into 1/3 11.773 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 5))) in n 11.773 * [taylor]: Taking taylor expansion of (/ 1 (pow n 5)) in n 11.773 * [taylor]: Taking taylor expansion of (pow n 5) in n 11.773 * [taylor]: Taking taylor expansion of n in n 11.773 * [backup-simplify]: Simplify 0 into 0 11.773 * [backup-simplify]: Simplify 1 into 1 11.774 * [backup-simplify]: Simplify (* 1 1) into 1 11.774 * [backup-simplify]: Simplify (* 1 1) into 1 11.775 * [backup-simplify]: Simplify (* 1 1) into 1 11.775 * [backup-simplify]: Simplify (/ 1 1) into 1 11.775 * [backup-simplify]: Simplify (log 1) into 0 11.776 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) 0) into (- (* 5 (log n))) 11.776 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log n)))) into (* -5/3 (log n)) 11.776 * [backup-simplify]: Simplify (exp (* -5/3 (log n))) into (pow n -5/3) 11.776 * [backup-simplify]: Simplify (* -1/9 (pow n -5/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.776 * [backup-simplify]: Simplify (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) into (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) 11.777 * [backup-simplify]: Simplify (+ (* (* -1/9 (pow (/ 1 (pow n 5)) 1/3)) (pow (* 1 f) 2)) (+ (* (* 1/3 (pow (/ 1 (pow n 2)) 1/3)) (* 1 f)) (pow n 1/3))) into (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) 11.777 * [backup-simplify]: Simplify (cbrt (+ (/ 1 f) (/ 1 n))) into (pow (+ (/ 1 f) (/ 1 n)) 1/3) 11.777 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 11.777 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 11.777 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 11.777 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 11.777 * [taylor]: Taking taylor expansion of 1/3 in n 11.777 * [backup-simplify]: Simplify 1/3 into 1/3 11.777 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 11.777 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.777 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.777 * [taylor]: Taking taylor expansion of f in n 11.777 * [backup-simplify]: Simplify f into f 11.777 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.777 * [taylor]: Taking taylor expansion of n in n 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.778 * [backup-simplify]: Simplify (/ 1 1) into 1 11.778 * [backup-simplify]: Simplify (+ 0 1) into 1 11.778 * [backup-simplify]: Simplify (log 1) into 0 11.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.779 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 11.779 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 11.779 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.779 * [taylor]: Taking taylor expansion of 1/3 in f 11.779 * [backup-simplify]: Simplify 1/3 into 1/3 11.779 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.779 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.779 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.779 * [taylor]: Taking taylor expansion of f in f 11.779 * [backup-simplify]: Simplify 0 into 0 11.779 * [backup-simplify]: Simplify 1 into 1 11.779 * [backup-simplify]: Simplify (/ 1 1) into 1 11.779 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.779 * [taylor]: Taking taylor expansion of n in f 11.779 * [backup-simplify]: Simplify n into n 11.779 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.780 * [backup-simplify]: Simplify (+ 1 0) into 1 11.780 * [backup-simplify]: Simplify (log 1) into 0 11.780 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.780 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.780 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.780 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.780 * [taylor]: Taking taylor expansion of 1/3 in f 11.780 * [backup-simplify]: Simplify 1/3 into 1/3 11.780 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.780 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.780 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.780 * [taylor]: Taking taylor expansion of f in f 11.780 * [backup-simplify]: Simplify 0 into 0 11.780 * [backup-simplify]: Simplify 1 into 1 11.781 * [backup-simplify]: Simplify (/ 1 1) into 1 11.781 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.781 * [taylor]: Taking taylor expansion of n in f 11.781 * [backup-simplify]: Simplify n into n 11.781 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.781 * [backup-simplify]: Simplify (+ 1 0) into 1 11.781 * [backup-simplify]: Simplify (log 1) into 0 11.782 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.782 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.782 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.782 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 11.782 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 11.782 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 11.782 * [taylor]: Taking taylor expansion of -1/3 in n 11.782 * [backup-simplify]: Simplify -1/3 into -1/3 11.782 * [taylor]: Taking taylor expansion of (log f) in n 11.782 * [taylor]: Taking taylor expansion of f in n 11.782 * [backup-simplify]: Simplify f into f 11.782 * [backup-simplify]: Simplify (log f) into (log f) 11.782 * [backup-simplify]: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) 11.782 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.782 * [backup-simplify]: Simplify (pow f -1/3) into (pow f -1/3) 11.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.783 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 11.784 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.784 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) 11.784 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.784 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 11.784 * [taylor]: Taking taylor expansion of 1/3 in n 11.784 * [backup-simplify]: Simplify 1/3 into 1/3 11.784 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 11.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.784 * [taylor]: Taking taylor expansion of n in n 11.784 * [backup-simplify]: Simplify 0 into 0 11.784 * [backup-simplify]: Simplify 1 into 1 11.784 * [backup-simplify]: Simplify (/ 1 1) into 1 11.784 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.784 * [taylor]: Taking taylor expansion of 1/3 in n 11.785 * [backup-simplify]: Simplify 1/3 into 1/3 11.785 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.785 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.785 * [taylor]: Taking taylor expansion of f in n 11.785 * [backup-simplify]: Simplify f into f 11.785 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.785 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.785 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.785 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.786 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.787 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.788 * [backup-simplify]: Simplify 0 into 0 11.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 11.789 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 11.790 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 11.790 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.791 * [backup-simplify]: Simplify (+ 0 0) into 0 11.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 11.792 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.792 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.793 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 11.793 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 11.793 * [taylor]: Taking taylor expansion of -1/9 in n 11.793 * [backup-simplify]: Simplify -1/9 into -1/9 11.793 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 11.793 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 11.793 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.793 * [taylor]: Taking taylor expansion of n in n 11.793 * [backup-simplify]: Simplify 0 into 0 11.793 * [backup-simplify]: Simplify 1 into 1 11.793 * [backup-simplify]: Simplify (* 1 1) into 1 11.793 * [backup-simplify]: Simplify (/ 1 1) into 1 11.793 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.793 * [taylor]: Taking taylor expansion of 1/3 in n 11.794 * [backup-simplify]: Simplify 1/3 into 1/3 11.794 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.794 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.794 * [taylor]: Taking taylor expansion of f in n 11.794 * [backup-simplify]: Simplify f into f 11.794 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.794 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.794 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.794 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.795 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.799 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.802 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.802 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.802 * [backup-simplify]: Simplify 0 into 0 11.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.805 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.805 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.808 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.808 * [backup-simplify]: Simplify 0 into 0 11.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 11.810 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 11.811 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.811 * [backup-simplify]: Simplify 0 into 0 11.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.812 * [backup-simplify]: Simplify (+ 0 0) into 0 11.814 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 11.814 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.814 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) 11.815 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 11.815 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 11.815 * [taylor]: Taking taylor expansion of 5/81 in n 11.815 * [backup-simplify]: Simplify 5/81 into 5/81 11.815 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 11.815 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 11.815 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.815 * [taylor]: Taking taylor expansion of n in n 11.815 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify 1 into 1 11.816 * [backup-simplify]: Simplify (* 1 1) into 1 11.816 * [backup-simplify]: Simplify (* 1 1) into 1 11.816 * [backup-simplify]: Simplify (/ 1 1) into 1 11.816 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.817 * [taylor]: Taking taylor expansion of 1/3 in n 11.817 * [backup-simplify]: Simplify 1/3 into 1/3 11.817 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.817 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.817 * [taylor]: Taking taylor expansion of f in n 11.817 * [backup-simplify]: Simplify f into f 11.817 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.817 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.817 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.817 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.826 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 11.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 11.829 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.832 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.836 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.843 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 11.844 * [backup-simplify]: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.844 * [backup-simplify]: Simplify 0 into 0 11.844 * [backup-simplify]: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) 11.845 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- f)) (/ 1 (- n)))) into (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) 11.845 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in (f n) around 0 11.845 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in n 11.845 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.845 * [taylor]: Taking taylor expansion of -1 in n 11.845 * [backup-simplify]: Simplify -1 into -1 11.845 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.846 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in n 11.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in n 11.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in n 11.846 * [taylor]: Taking taylor expansion of 1/3 in n 11.846 * [backup-simplify]: Simplify 1/3 into 1/3 11.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in n 11.846 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 11.846 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.846 * [taylor]: Taking taylor expansion of f in n 11.846 * [backup-simplify]: Simplify f into f 11.846 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.847 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.847 * [taylor]: Taking taylor expansion of n in n 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 1 into 1 11.847 * [backup-simplify]: Simplify (/ 1 1) into 1 11.847 * [backup-simplify]: Simplify (+ 0 1) into 1 11.848 * [backup-simplify]: Simplify (log 1) into 0 11.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.848 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 11.848 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 11.848 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 11.848 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.849 * [taylor]: Taking taylor expansion of -1 in f 11.849 * [backup-simplify]: Simplify -1 into -1 11.849 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.850 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.850 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.850 * [taylor]: Taking taylor expansion of 1/3 in f 11.850 * [backup-simplify]: Simplify 1/3 into 1/3 11.850 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.850 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.850 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.850 * [taylor]: Taking taylor expansion of f in f 11.850 * [backup-simplify]: Simplify 0 into 0 11.850 * [backup-simplify]: Simplify 1 into 1 11.850 * [backup-simplify]: Simplify (/ 1 1) into 1 11.850 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.850 * [taylor]: Taking taylor expansion of n in f 11.850 * [backup-simplify]: Simplify n into n 11.851 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.851 * [backup-simplify]: Simplify (+ 1 0) into 1 11.851 * [backup-simplify]: Simplify (log 1) into 0 11.852 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.852 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.852 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.852 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 f) (/ 1 n)) 1/3)) in f 11.852 * [taylor]: Taking taylor expansion of (cbrt -1) in f 11.852 * [taylor]: Taking taylor expansion of -1 in f 11.852 * [backup-simplify]: Simplify -1 into -1 11.852 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.853 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.853 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 f) (/ 1 n)) 1/3) in f 11.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 f) (/ 1 n))))) in f 11.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 f) (/ 1 n)))) in f 11.853 * [taylor]: Taking taylor expansion of 1/3 in f 11.853 * [backup-simplify]: Simplify 1/3 into 1/3 11.853 * [taylor]: Taking taylor expansion of (log (+ (/ 1 f) (/ 1 n))) in f 11.853 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 11.853 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.853 * [taylor]: Taking taylor expansion of f in f 11.853 * [backup-simplify]: Simplify 0 into 0 11.853 * [backup-simplify]: Simplify 1 into 1 11.854 * [backup-simplify]: Simplify (/ 1 1) into 1 11.854 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.854 * [taylor]: Taking taylor expansion of n in f 11.854 * [backup-simplify]: Simplify n into n 11.854 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.854 * [backup-simplify]: Simplify (+ 1 0) into 1 11.855 * [backup-simplify]: Simplify (log 1) into 0 11.855 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.855 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.856 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.856 * [backup-simplify]: Simplify (* (cbrt -1) (pow f -1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.856 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 f) 1/3)) in n 11.856 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.856 * [taylor]: Taking taylor expansion of -1 in n 11.856 * [backup-simplify]: Simplify -1 into -1 11.857 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.858 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.858 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.858 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.858 * [taylor]: Taking taylor expansion of 1/3 in n 11.858 * [backup-simplify]: Simplify 1/3 into 1/3 11.858 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.858 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.858 * [taylor]: Taking taylor expansion of f in n 11.858 * [backup-simplify]: Simplify f into f 11.858 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.858 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.858 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.858 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.859 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.860 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.861 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.861 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) 11.862 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.862 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log f)))) into (* 1/3 (/ 1 n)) 11.862 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.863 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3))) into (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) 11.863 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3))) in n 11.863 * [taylor]: Taking taylor expansion of 1/3 in n 11.864 * [backup-simplify]: Simplify 1/3 into 1/3 11.864 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) n) (pow (/ 1 f) 1/3)) in n 11.864 * [taylor]: Taking taylor expansion of (/ (cbrt -1) n) in n 11.864 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.864 * [taylor]: Taking taylor expansion of -1 in n 11.864 * [backup-simplify]: Simplify -1 into -1 11.864 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.865 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.865 * [taylor]: Taking taylor expansion of n in n 11.865 * [backup-simplify]: Simplify 0 into 0 11.865 * [backup-simplify]: Simplify 1 into 1 11.866 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.866 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.866 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.866 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.866 * [taylor]: Taking taylor expansion of 1/3 in n 11.866 * [backup-simplify]: Simplify 1/3 into 1/3 11.866 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.866 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.866 * [taylor]: Taking taylor expansion of f in n 11.866 * [backup-simplify]: Simplify f into f 11.866 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.866 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.866 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.867 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.868 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.869 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.871 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.872 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.873 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3)))) into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.875 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.876 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.876 * [backup-simplify]: Simplify 0 into 0 11.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.878 * [backup-simplify]: Simplify (+ 0 0) into 0 11.880 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 11.880 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.881 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.881 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 11.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.885 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3)))) into (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) 11.885 * [taylor]: Taking taylor expansion of (- (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)))) in n 11.885 * [taylor]: Taking taylor expansion of (* 1/9 (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3))) in n 11.885 * [taylor]: Taking taylor expansion of 1/9 in n 11.885 * [backup-simplify]: Simplify 1/9 into 1/9 11.885 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 2)) (pow (/ 1 f) 1/3)) in n 11.885 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 2)) in n 11.885 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.885 * [taylor]: Taking taylor expansion of -1 in n 11.885 * [backup-simplify]: Simplify -1 into -1 11.886 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.886 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.886 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.886 * [taylor]: Taking taylor expansion of n in n 11.886 * [backup-simplify]: Simplify 0 into 0 11.886 * [backup-simplify]: Simplify 1 into 1 11.887 * [backup-simplify]: Simplify (* 1 1) into 1 11.888 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.888 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.888 * [taylor]: Taking taylor expansion of 1/3 in n 11.888 * [backup-simplify]: Simplify 1/3 into 1/3 11.888 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.888 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.888 * [taylor]: Taking taylor expansion of f in n 11.888 * [backup-simplify]: Simplify f into f 11.888 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.888 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.888 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.888 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.893 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.894 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.897 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.902 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.903 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.904 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.910 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3))))) into 0 11.910 * [backup-simplify]: Simplify (- 0) into 0 11.910 * [backup-simplify]: Simplify 0 into 0 11.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.915 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.919 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.920 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3))))) into 0 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.923 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.924 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.924 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 11.925 * [backup-simplify]: Simplify (+ 0 0) into 0 11.927 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) 11.928 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.928 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log f)))))) into (* 1/9 (/ 1 (pow n 3))) 11.929 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow n 3))) 1) 1)))) into (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 11.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.931 * [backup-simplify]: Simplify (+ (* (cbrt -1) (* 5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)))) (+ (* 0 (* 1/3 (* (/ 1 n) (pow (/ 1 f) 1/3)))) (* 0 (pow f -1/3))))) into (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) 11.931 * [taylor]: Taking taylor expansion of (* 5/81 (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3))) in n 11.931 * [taylor]: Taking taylor expansion of 5/81 in n 11.931 * [backup-simplify]: Simplify 5/81 into 5/81 11.931 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (pow n 3)) (pow (/ 1 f) 1/3)) in n 11.931 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow n 3)) in n 11.931 * [taylor]: Taking taylor expansion of (cbrt -1) in n 11.931 * [taylor]: Taking taylor expansion of -1 in n 11.931 * [backup-simplify]: Simplify -1 into -1 11.931 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 11.931 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 11.931 * [taylor]: Taking taylor expansion of (pow n 3) in n 11.932 * [taylor]: Taking taylor expansion of n in n 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 1 into 1 11.932 * [backup-simplify]: Simplify (* 1 1) into 1 11.932 * [backup-simplify]: Simplify (* 1 1) into 1 11.933 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 11.933 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.933 * [taylor]: Taking taylor expansion of 1/3 in n 11.933 * [backup-simplify]: Simplify 1/3 into 1/3 11.933 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.933 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.933 * [taylor]: Taking taylor expansion of f in n 11.933 * [backup-simplify]: Simplify f into f 11.933 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.933 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.933 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.933 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.934 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.935 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 11.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 11.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 11.938 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 11.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 11.940 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 11.942 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 11.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.945 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.951 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 11.952 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 11.953 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (/ 1 f) 1/3))) into 0 11.953 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 f) 1/3)) into (* (cbrt -1) (pow (/ 1 f) 1/3)) 11.955 * [backup-simplify]: Simplify (+ (* 5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cbrt -1) (pow (/ 1 f) 1/3)))))) into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- f))) 1/3)) into (* (pow (* -1 f) 1/3) (cbrt -1)) 11.956 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 11.956 * [backup-simplify]: Simplify (cbrt (- f n)) into (pow (- f n) 1/3) 11.956 * [approximate]: Taking taylor expansion of (pow (- f n) 1/3) in (f n) around 0 11.957 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in n 11.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in n 11.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in n 11.957 * [taylor]: Taking taylor expansion of 1/3 in n 11.957 * [backup-simplify]: Simplify 1/3 into 1/3 11.957 * [taylor]: Taking taylor expansion of (log (- f n)) in n 11.957 * [taylor]: Taking taylor expansion of (- f n) in n 11.957 * [taylor]: Taking taylor expansion of f in n 11.957 * [backup-simplify]: Simplify f into f 11.957 * [taylor]: Taking taylor expansion of n in n 11.957 * [backup-simplify]: Simplify 0 into 0 11.957 * [backup-simplify]: Simplify 1 into 1 11.957 * [backup-simplify]: Simplify (- 0) into 0 11.957 * [backup-simplify]: Simplify (+ f 0) into f 11.957 * [backup-simplify]: Simplify (log f) into (log f) 11.958 * [backup-simplify]: Simplify (* 1/3 (log f)) into (* 1/3 (log f)) 11.958 * [backup-simplify]: Simplify (exp (* 1/3 (log f))) into (pow f 1/3) 11.958 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 11.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 11.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 11.958 * [taylor]: Taking taylor expansion of 1/3 in f 11.958 * [backup-simplify]: Simplify 1/3 into 1/3 11.958 * [taylor]: Taking taylor expansion of (log (- f n)) in f 11.958 * [taylor]: Taking taylor expansion of (- f n) in f 11.958 * [taylor]: Taking taylor expansion of f in f 11.958 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify 1 into 1 11.958 * [taylor]: Taking taylor expansion of n in f 11.958 * [backup-simplify]: Simplify n into n 11.958 * [backup-simplify]: Simplify (- n) into (- n) 11.958 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.958 * [backup-simplify]: Simplify (log (- n)) into (log (- n)) 11.958 * [backup-simplify]: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) 11.958 * [backup-simplify]: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) 11.959 * [taylor]: Taking taylor expansion of (pow (- f n) 1/3) in f 11.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- f n)))) in f 11.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (- f n))) in f 11.959 * [taylor]: Taking taylor expansion of 1/3 in f 11.959 * [backup-simplify]: Simplify 1/3 into 1/3 11.959 * [taylor]: Taking taylor expansion of (log (- f n)) in f 11.959 * [taylor]: Taking taylor expansion of (- f n) in f 11.959 * [taylor]: Taking taylor expansion of f in f 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [taylor]: Taking taylor expansion of n in f 11.959 * [backup-simplify]: Simplify n into n 11.959 * [backup-simplify]: Simplify (- n) into (- n) 11.959 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.959 * [backup-simplify]: Simplify (log (- n)) into (log (- n)) 11.959 * [backup-simplify]: Simplify (* 1/3 (log (- n))) into (* 1/3 (log (- n))) 11.960 * [backup-simplify]: Simplify (exp (* 1/3 (log (- n)))) into (pow (- n) 1/3) 11.960 * [taylor]: Taking taylor expansion of (pow (- n) 1/3) in n 11.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- n)))) in n 11.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (- n))) in n 11.960 * [taylor]: Taking taylor expansion of 1/3 in n 11.960 * [backup-simplify]: Simplify 1/3 into 1/3 11.960 * [taylor]: Taking taylor expansion of (log (- n)) in n 11.960 * [taylor]: Taking taylor expansion of (- n) in n 11.960 * [taylor]: Taking taylor expansion of n in n 11.960 * [backup-simplify]: Simplify 0 into 0 11.960 * [backup-simplify]: Simplify 1 into 1 11.960 * [backup-simplify]: Simplify (- 0) into 0 11.961 * [backup-simplify]: Simplify (- 1) into -1 11.961 * [backup-simplify]: Simplify (- 1) into -1 11.962 * [backup-simplify]: Simplify (log -1) into (log -1) 11.962 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 11.963 * [backup-simplify]: Simplify (* 1/3 (+ (log -1) (log n))) into (* 1/3 (+ (log -1) (log n))) 11.964 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1) (log n)))) into (exp (* 1/3 (+ (log -1) (log n)))) 11.964 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1) (log n)))) into (exp (* 1/3 (+ (log -1) (log n)))) 11.965 * [backup-simplify]: Simplify (- 0) into 0 11.965 * [backup-simplify]: Simplify (+ 1 0) into 1 11.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- n) 1)))) 1) into (/ -1 n) 11.966 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (log (- n)))) into (- (* 1/3 (/ 1 n))) 11.967 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) 11.967 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow n 2)) 1/3)) in n 11.967 * [taylor]: Taking taylor expansion of -1/3 in n 11.967 * [backup-simplify]: Simplify -1/3 into -1/3 11.967 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 2)) 1/3) in n 11.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 2))))) in n 11.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 2)))) in n 11.967 * [taylor]: Taking taylor expansion of 1/3 in n 11.967 * [backup-simplify]: Simplify 1/3 into 1/3 11.967 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 2))) in n 11.967 * [taylor]: Taking taylor expansion of (/ -1 (pow n 2)) in n 11.967 * [taylor]: Taking taylor expansion of -1 in n 11.967 * [backup-simplify]: Simplify -1 into -1 11.967 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.967 * [taylor]: Taking taylor expansion of n in n 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify 1 into 1 11.968 * [backup-simplify]: Simplify (* 1 1) into 1 11.968 * [backup-simplify]: Simplify (/ -1 1) into -1 11.969 * [backup-simplify]: Simplify (log -1) into (log -1) 11.969 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) (log -1)) into (- (log -1) (* 2 (log n))) 11.970 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log n)))) into (* 1/3 (- (log -1) (* 2 (log n)))) 11.970 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log n))))) into (exp (* 1/3 (- (log -1) (* 2 (log n))))) 11.971 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) 11.972 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) 11.972 * [backup-simplify]: Simplify (- 0) into 0 11.973 * [backup-simplify]: Simplify (- 1) into -1 11.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.975 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log -1)) into (+ (log -1) (log n)) 11.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log -1) (log n)))) into 0 11.977 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.977 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify (- 0) into 0 11.978 * [backup-simplify]: Simplify (+ 0 0) into 0 11.980 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- n) 1)))) 2) into (/ -1/2 (pow n 2)) 11.981 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (log (- n))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.981 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- n)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) 11.982 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow n 5)) 1/3)) in n 11.982 * [taylor]: Taking taylor expansion of -1/9 in n 11.982 * [backup-simplify]: Simplify -1/9 into -1/9 11.982 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow n 5)) 1/3) in n 11.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow n 5))))) in n 11.982 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow n 5)))) in n 11.982 * [taylor]: Taking taylor expansion of 1/3 in n 11.982 * [backup-simplify]: Simplify 1/3 into 1/3 11.982 * [taylor]: Taking taylor expansion of (log (/ -1 (pow n 5))) in n 11.982 * [taylor]: Taking taylor expansion of (/ -1 (pow n 5)) in n 11.982 * [taylor]: Taking taylor expansion of -1 in n 11.982 * [backup-simplify]: Simplify -1 into -1 11.982 * [taylor]: Taking taylor expansion of (pow n 5) in n 11.982 * [taylor]: Taking taylor expansion of n in n 11.982 * [backup-simplify]: Simplify 0 into 0 11.982 * [backup-simplify]: Simplify 1 into 1 11.982 * [backup-simplify]: Simplify (* 1 1) into 1 11.983 * [backup-simplify]: Simplify (* 1 1) into 1 11.983 * [backup-simplify]: Simplify (* 1 1) into 1 11.984 * [backup-simplify]: Simplify (/ -1 1) into -1 11.984 * [backup-simplify]: Simplify (log -1) into (log -1) 11.985 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) (log -1)) into (- (log -1) (* 5 (log n))) 11.986 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 5 (log n)))) into (* 1/3 (- (log -1) (* 5 (log n)))) 11.986 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 5 (log n))))) into (exp (* 1/3 (- (log -1) (* 5 (log n))))) 11.987 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) 11.987 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) 11.988 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log n)))))) (pow (* 1 f) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log n)))))) (* 1 f)) (exp (* 1/3 (+ (log -1) (log n)))))) into (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) 11.989 * [backup-simplify]: Simplify (cbrt (- (/ 1 f) (/ 1 n))) into (pow (- (/ 1 f) (/ 1 n)) 1/3) 11.989 * [approximate]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in (f n) around 0 11.989 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in n 11.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in n 11.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in n 11.989 * [taylor]: Taking taylor expansion of 1/3 in n 11.989 * [backup-simplify]: Simplify 1/3 into 1/3 11.989 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in n 11.989 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 11.989 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.989 * [taylor]: Taking taylor expansion of f in n 11.989 * [backup-simplify]: Simplify f into f 11.989 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.989 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.989 * [taylor]: Taking taylor expansion of n in n 11.989 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify 1 into 1 11.989 * [backup-simplify]: Simplify (/ 1 1) into 1 11.989 * [backup-simplify]: Simplify (- 1) into -1 11.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.990 * [backup-simplify]: Simplify (log -1) into (log -1) 11.991 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.991 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log n))) into (* 1/3 (- (log -1) (log n))) 11.991 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log n)))) into (exp (* 1/3 (- (log -1) (log n)))) 11.991 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 11.991 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 11.991 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 11.991 * [taylor]: Taking taylor expansion of 1/3 in f 11.991 * [backup-simplify]: Simplify 1/3 into 1/3 11.991 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 11.991 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.991 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.991 * [taylor]: Taking taylor expansion of f in f 11.991 * [backup-simplify]: Simplify 0 into 0 11.991 * [backup-simplify]: Simplify 1 into 1 11.992 * [backup-simplify]: Simplify (/ 1 1) into 1 11.992 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.992 * [taylor]: Taking taylor expansion of n in f 11.992 * [backup-simplify]: Simplify n into n 11.992 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.992 * [backup-simplify]: Simplify (+ 1 0) into 1 11.992 * [backup-simplify]: Simplify (log 1) into 0 11.993 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.993 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.993 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.993 * [taylor]: Taking taylor expansion of (pow (- (/ 1 f) (/ 1 n)) 1/3) in f 11.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 f) (/ 1 n))))) in f 11.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 f) (/ 1 n)))) in f 11.993 * [taylor]: Taking taylor expansion of 1/3 in f 11.993 * [backup-simplify]: Simplify 1/3 into 1/3 11.993 * [taylor]: Taking taylor expansion of (log (- (/ 1 f) (/ 1 n))) in f 11.993 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 11.993 * [taylor]: Taking taylor expansion of (/ 1 f) in f 11.993 * [taylor]: Taking taylor expansion of f in f 11.993 * [backup-simplify]: Simplify 0 into 0 11.993 * [backup-simplify]: Simplify 1 into 1 11.993 * [backup-simplify]: Simplify (/ 1 1) into 1 11.993 * [taylor]: Taking taylor expansion of (/ 1 n) in f 11.993 * [taylor]: Taking taylor expansion of n in f 11.993 * [backup-simplify]: Simplify n into n 11.993 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.993 * [backup-simplify]: Simplify (+ 1 0) into 1 11.994 * [backup-simplify]: Simplify (log 1) into 0 11.994 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.994 * [backup-simplify]: Simplify (* 1/3 (- (log f))) into (* -1/3 (log f)) 11.994 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.994 * [taylor]: Taking taylor expansion of (pow f -1/3) in n 11.994 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log f))) in n 11.994 * [taylor]: Taking taylor expansion of (* -1/3 (log f)) in n 11.994 * [taylor]: Taking taylor expansion of -1/3 in n 11.994 * [backup-simplify]: Simplify -1/3 into -1/3 11.994 * [taylor]: Taking taylor expansion of (log f) in n 11.994 * [taylor]: Taking taylor expansion of f in n 11.994 * [backup-simplify]: Simplify f into f 11.994 * [backup-simplify]: Simplify (log f) into (log f) 11.994 * [backup-simplify]: Simplify (* -1/3 (log f)) into (* -1/3 (log f)) 11.994 * [backup-simplify]: Simplify (exp (* -1/3 (log f))) into (pow f -1/3) 11.995 * [backup-simplify]: Simplify (pow f -1/3) into (pow f -1/3) 11.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.995 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 11.995 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 11.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 n))) 1)) (pow 1 1)))) 1) into (/ -1 n) 11.996 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 11.996 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log f)))) into (- (* 1/3 (/ 1 n))) 11.997 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) 11.997 * [taylor]: Taking taylor expansion of (* -1/3 (* (/ 1 n) (pow (/ 1 f) 1/3))) in n 11.997 * [taylor]: Taking taylor expansion of -1/3 in n 11.997 * [backup-simplify]: Simplify -1/3 into -1/3 11.997 * [taylor]: Taking taylor expansion of (* (/ 1 n) (pow (/ 1 f) 1/3)) in n 11.997 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.997 * [taylor]: Taking taylor expansion of n in n 11.997 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify 1 into 1 11.997 * [backup-simplify]: Simplify (/ 1 1) into 1 11.997 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 11.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 11.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 11.997 * [taylor]: Taking taylor expansion of 1/3 in n 11.997 * [backup-simplify]: Simplify 1/3 into 1/3 11.997 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 11.997 * [taylor]: Taking taylor expansion of (/ 1 f) in n 11.997 * [taylor]: Taking taylor expansion of f in n 11.997 * [backup-simplify]: Simplify f into f 11.997 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 11.997 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 11.997 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 11.997 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 11.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 11.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 11.998 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 11.999 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 12.000 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 12.000 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 f) 1/3))) into 0 12.000 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 12.001 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log f))) into 0 12.002 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.002 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 n))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) 12.004 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 12.004 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.005 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) 12.005 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3))) in n 12.005 * [taylor]: Taking taylor expansion of -1/9 in n 12.005 * [backup-simplify]: Simplify -1/9 into -1/9 12.005 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 2)) (pow (/ 1 f) 1/3)) in n 12.005 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.005 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.005 * [taylor]: Taking taylor expansion of n in n 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 1 into 1 12.005 * [backup-simplify]: Simplify (* 1 1) into 1 12.005 * [backup-simplify]: Simplify (/ 1 1) into 1 12.005 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 12.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 12.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 12.006 * [taylor]: Taking taylor expansion of 1/3 in n 12.006 * [backup-simplify]: Simplify 1/3 into 1/3 12.006 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 12.006 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.006 * [taylor]: Taking taylor expansion of f in n 12.006 * [backup-simplify]: Simplify f into f 12.006 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.006 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 12.006 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 12.006 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 12.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 12.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 12.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 12.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.008 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 12.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 12.009 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.011 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 12.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 12.013 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 12.014 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.015 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 12.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 12.017 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 12.018 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 12.018 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 12.021 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log f)))) into 0 12.022 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.022 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.024 * [backup-simplify]: Simplify (- 0) into 0 12.024 * [backup-simplify]: Simplify (+ 0 0) into 0 12.027 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 n))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 n))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow n 3)) 12.027 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) 12.028 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log f)))))) into (- (* 1/9 (/ 1 (pow n 3)))) 12.029 * [backup-simplify]: Simplify (* (exp (* -1/3 (log f))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow n 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) 12.029 * [taylor]: Taking taylor expansion of (* -5/81 (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3))) in n 12.029 * [taylor]: Taking taylor expansion of -5/81 in n 12.029 * [backup-simplify]: Simplify -5/81 into -5/81 12.029 * [taylor]: Taking taylor expansion of (* (/ 1 (pow n 3)) (pow (/ 1 f) 1/3)) in n 12.029 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.029 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.029 * [taylor]: Taking taylor expansion of n in n 12.029 * [backup-simplify]: Simplify 0 into 0 12.029 * [backup-simplify]: Simplify 1 into 1 12.034 * [backup-simplify]: Simplify (* 1 1) into 1 12.034 * [backup-simplify]: Simplify (* 1 1) into 1 12.035 * [backup-simplify]: Simplify (/ 1 1) into 1 12.035 * [taylor]: Taking taylor expansion of (pow (/ 1 f) 1/3) in n 12.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 f)))) in n 12.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 f))) in n 12.035 * [taylor]: Taking taylor expansion of 1/3 in n 12.035 * [backup-simplify]: Simplify 1/3 into 1/3 12.035 * [taylor]: Taking taylor expansion of (log (/ 1 f)) in n 12.035 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.035 * [taylor]: Taking taylor expansion of f in n 12.035 * [backup-simplify]: Simplify f into f 12.035 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.035 * [backup-simplify]: Simplify (log (/ 1 f)) into (log (/ 1 f)) 12.035 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 f))) into (* 1/3 (log (/ 1 f))) 12.035 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 f)))) into (pow (/ 1 f) 1/3) 12.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 12.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 f) 1)))) 1) into 0 12.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 f)))) into 0 12.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.039 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 f) 1)))) 2) into 0 12.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 f))))) into 0 12.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)) (* 0 (/ 0 f)))) into 0 12.043 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 f) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 f) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 f) 1)))) 6) into 0 12.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 f)))))) into 0 12.047 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 f)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 12.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3)))) into 0 12.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 f) 1/3))) into 0 12.061 * [backup-simplify]: Simplify (* 1 (pow (/ 1 f) 1/3)) into (pow (/ 1 f) 1/3) 12.062 * [backup-simplify]: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 f) 1/3))))) into 0 12.062 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify (pow (/ 1 f) -1/3) into (pow (/ 1 f) -1/3) 12.063 * [backup-simplify]: Simplify (cbrt (- (/ 1 (- f)) (/ 1 (- n)))) into (pow (- (/ 1 n) (/ 1 f)) 1/3) 12.063 * [approximate]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in (f n) around 0 12.063 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in n 12.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in n 12.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in n 12.063 * [taylor]: Taking taylor expansion of 1/3 in n 12.063 * [backup-simplify]: Simplify 1/3 into 1/3 12.063 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in n 12.063 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.063 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.063 * [taylor]: Taking taylor expansion of n in n 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.064 * [backup-simplify]: Simplify (/ 1 1) into 1 12.064 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.064 * [taylor]: Taking taylor expansion of f in n 12.064 * [backup-simplify]: Simplify f into f 12.064 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.064 * [backup-simplify]: Simplify (+ 1 0) into 1 12.064 * [backup-simplify]: Simplify (log 1) into 0 12.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.065 * [backup-simplify]: Simplify (* 1/3 (- (log n))) into (* -1/3 (log n)) 12.065 * [backup-simplify]: Simplify (exp (* -1/3 (log n))) into (pow n -1/3) 12.065 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 12.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 12.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 12.065 * [taylor]: Taking taylor expansion of 1/3 in f 12.065 * [backup-simplify]: Simplify 1/3 into 1/3 12.065 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 12.065 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.065 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.065 * [taylor]: Taking taylor expansion of n in f 12.065 * [backup-simplify]: Simplify n into n 12.065 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.065 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.065 * [taylor]: Taking taylor expansion of f in f 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.066 * [backup-simplify]: Simplify (/ 1 1) into 1 12.066 * [backup-simplify]: Simplify (- 1) into -1 12.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.067 * [backup-simplify]: Simplify (log -1) into (log -1) 12.068 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) 12.068 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) 12.069 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.069 * [taylor]: Taking taylor expansion of (pow (- (/ 1 n) (/ 1 f)) 1/3) in f 12.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 n) (/ 1 f))))) in f 12.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 n) (/ 1 f)))) in f 12.069 * [taylor]: Taking taylor expansion of 1/3 in f 12.069 * [backup-simplify]: Simplify 1/3 into 1/3 12.069 * [taylor]: Taking taylor expansion of (log (- (/ 1 n) (/ 1 f))) in f 12.069 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.069 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.069 * [taylor]: Taking taylor expansion of n in f 12.069 * [backup-simplify]: Simplify n into n 12.069 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.069 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.069 * [taylor]: Taking taylor expansion of f in f 12.069 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (/ 1 1) into 1 12.070 * [backup-simplify]: Simplify (- 1) into -1 12.071 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.071 * [backup-simplify]: Simplify (log -1) into (log -1) 12.072 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) 12.072 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) 12.073 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 12.073 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 12.073 * [taylor]: Taking taylor expansion of 1/3 in n 12.073 * [backup-simplify]: Simplify 1/3 into 1/3 12.073 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 12.073 * [taylor]: Taking taylor expansion of (log -1) in n 12.073 * [taylor]: Taking taylor expansion of -1 in n 12.073 * [backup-simplify]: Simplify -1 into -1 12.074 * [backup-simplify]: Simplify (log -1) into (log -1) 12.074 * [taylor]: Taking taylor expansion of (log f) in n 12.074 * [taylor]: Taking taylor expansion of f in n 12.074 * [backup-simplify]: Simplify f into f 12.074 * [backup-simplify]: Simplify (log f) into (log f) 12.074 * [backup-simplify]: Simplify (- (log f)) into (- (log f)) 12.074 * [backup-simplify]: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) 12.075 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) 12.075 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.076 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.077 * [backup-simplify]: Simplify (- 0) into 0 12.077 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow -1 1)))) 1) into (/ -1 n) 12.079 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) 12.079 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 n)) (* 0 (- (log -1) (log f)))) into (- (* 1/3 (/ 1 n))) 12.080 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) 12.080 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log f)))) n)) in n 12.080 * [taylor]: Taking taylor expansion of -1/3 in n 12.080 * [backup-simplify]: Simplify -1/3 into -1/3 12.080 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) n) in n 12.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 12.081 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 12.081 * [taylor]: Taking taylor expansion of 1/3 in n 12.081 * [backup-simplify]: Simplify 1/3 into 1/3 12.081 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 12.081 * [taylor]: Taking taylor expansion of (log -1) in n 12.081 * [taylor]: Taking taylor expansion of -1 in n 12.081 * [backup-simplify]: Simplify -1 into -1 12.081 * [backup-simplify]: Simplify (log -1) into (log -1) 12.081 * [taylor]: Taking taylor expansion of (log f) in n 12.081 * [taylor]: Taking taylor expansion of f in n 12.081 * [backup-simplify]: Simplify f into f 12.081 * [backup-simplify]: Simplify (log f) into (log f) 12.081 * [backup-simplify]: Simplify (- (log f)) into (- (log f)) 12.082 * [backup-simplify]: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) 12.082 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) 12.083 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.083 * [taylor]: Taking taylor expansion of n in n 12.083 * [backup-simplify]: Simplify 0 into 0 12.083 * [backup-simplify]: Simplify 1 into 1 12.084 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) 12.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 12.086 * [backup-simplify]: Simplify (- 0) into 0 12.087 * [backup-simplify]: Simplify (+ 0 0) into 0 12.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 12.089 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 12.091 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))) into 0 12.091 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 12.094 * [backup-simplify]: Simplify (- 0) into 0 12.095 * [backup-simplify]: Simplify (+ 0 0) into 0 12.096 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 12.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.097 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.099 * [backup-simplify]: Simplify (- 0) into 0 12.099 * [backup-simplify]: Simplify (+ 0 0) into 0 12.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow n 2)) 12.102 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) 12.103 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) 12.104 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2))) in n 12.104 * [taylor]: Taking taylor expansion of -1/9 in n 12.104 * [backup-simplify]: Simplify -1/9 into -1/9 12.105 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 2)) in n 12.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 12.105 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 12.105 * [taylor]: Taking taylor expansion of 1/3 in n 12.105 * [backup-simplify]: Simplify 1/3 into 1/3 12.105 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 12.105 * [taylor]: Taking taylor expansion of (log -1) in n 12.105 * [taylor]: Taking taylor expansion of -1 in n 12.105 * [backup-simplify]: Simplify -1 into -1 12.105 * [backup-simplify]: Simplify (log -1) into (log -1) 12.105 * [taylor]: Taking taylor expansion of (log f) in n 12.105 * [taylor]: Taking taylor expansion of f in n 12.105 * [backup-simplify]: Simplify f into f 12.105 * [backup-simplify]: Simplify (log f) into (log f) 12.105 * [backup-simplify]: Simplify (- (log f)) into (- (log f)) 12.106 * [backup-simplify]: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) 12.107 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) 12.107 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.107 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.107 * [taylor]: Taking taylor expansion of n in n 12.107 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify 1 into 1 12.108 * [backup-simplify]: Simplify (* 1 1) into 1 12.108 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) 12.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 12.111 * [backup-simplify]: Simplify (- 0) into 0 12.112 * [backup-simplify]: Simplify (+ 0 0) into 0 12.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 12.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 12.118 * [backup-simplify]: Simplify (- 0) into 0 12.118 * [backup-simplify]: Simplify (+ 0 0) into 0 12.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 12.121 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 12.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 12.134 * [backup-simplify]: Simplify (- 0) into 0 12.135 * [backup-simplify]: Simplify (+ 0 0) into 0 12.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 12.138 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.140 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f))))))) into 0 12.140 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 12.143 * [backup-simplify]: Simplify (- 0) into 0 12.143 * [backup-simplify]: Simplify (+ 0 0) into 0 12.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 12.145 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.146 * [backup-simplify]: Simplify (- 0) into 0 12.147 * [backup-simplify]: Simplify (+ 0 0) into 0 12.149 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow n 3)) 12.149 * [backup-simplify]: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) 12.150 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ -1 n)) (* 0 (- (log -1) (log f)))))) into (- (* 1/9 (/ 1 (pow n 3)))) 12.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow (- (* 1/3 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 n))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow n 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) 12.151 * [taylor]: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3))) in n 12.151 * [taylor]: Taking taylor expansion of -5/81 in n 12.151 * [backup-simplify]: Simplify -5/81 into -5/81 12.151 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log f)))) (pow n 3)) in n 12.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log f)))) in n 12.151 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log f))) in n 12.151 * [taylor]: Taking taylor expansion of 1/3 in n 12.151 * [backup-simplify]: Simplify 1/3 into 1/3 12.151 * [taylor]: Taking taylor expansion of (- (log -1) (log f)) in n 12.151 * [taylor]: Taking taylor expansion of (log -1) in n 12.151 * [taylor]: Taking taylor expansion of -1 in n 12.151 * [backup-simplify]: Simplify -1 into -1 12.151 * [backup-simplify]: Simplify (log -1) into (log -1) 12.151 * [taylor]: Taking taylor expansion of (log f) in n 12.151 * [taylor]: Taking taylor expansion of f in n 12.151 * [backup-simplify]: Simplify f into f 12.151 * [backup-simplify]: Simplify (log f) into (log f) 12.151 * [backup-simplify]: Simplify (- (log f)) into (- (log f)) 12.152 * [backup-simplify]: Simplify (+ (log -1) (- (log f))) into (- (log -1) (log f)) 12.152 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log f))) into (* 1/3 (- (log -1) (log f))) 12.152 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log f)))) into (exp (* 1/3 (- (log -1) (log f)))) 12.152 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.152 * [taylor]: Taking taylor expansion of n in n 12.152 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify 1 into 1 12.153 * [backup-simplify]: Simplify (* 1 1) into 1 12.153 * [backup-simplify]: Simplify (* 1 1) into 1 12.153 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log -1) (log f)))) 1) into (exp (* 1/3 (- (log -1) (log f)))) 12.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow f 1)))) 1) into 0 12.155 * [backup-simplify]: Simplify (- 0) into 0 12.155 * [backup-simplify]: Simplify (+ 0 0) into 0 12.156 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log f)))) into 0 12.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow f 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow f 1)))) 2) into 0 12.159 * [backup-simplify]: Simplify (- 0) into 0 12.159 * [backup-simplify]: Simplify (+ 0 0) into 0 12.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log f))))) into 0 12.163 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 12.165 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow f 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow f 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow f 1)))) 6) into 0 12.165 * [backup-simplify]: Simplify (- 0) into 0 12.165 * [backup-simplify]: Simplify (+ 0 0) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log f)))))) into 0 12.168 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)))) into 0 12.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.182 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log f)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log f)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.188 * [backup-simplify]: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log f)))))))) into 0 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- f)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 f))))) 12.189 * * * [progress]: simplifying candidates 12.190 * [simplify]: Simplifying: (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt 1) (cbrt (+ f n)) (cbrt 1) (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* f f) (- (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) (cbrt 1) (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) (cbrt 1) (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (* f f) (+ (* n n) (* f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (* (* (cbrt (- f n)) (cbrt (- f n))) (cbrt (- f n))) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (+ (pow n 1/3) (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f))) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2)))) (pow (/ 1 f) -1/3) (* (pow (* -1 f) 1/3) (cbrt -1)) (- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f)))) (pow (/ 1 f) -1/3) (exp (* 1/3 (- (log -1) (log (/ -1 f))))) 12.193 * * [simplify]: Extracting # 0 : cost 0 12.193 * * [simplify]: Extracting # 1 : cost 0 12.193 * * [simplify]: Extracting # 2 : cost 0 12.193 * * [simplify]: Extracting # 3 : cost 0 12.193 * * [simplify]: Extracting # 4 : cost 0 12.194 * * [simplify]: Extracting # 5 : cost 0 12.194 * * [simplify]: Extracting # 6 : cost 0 12.194 * * [simplify]: Extracting # 7 : cost 0 12.194 * * [simplify]: Extracting # 8 : cost 0 12.194 * * [simplify]: Extracting # 9 : cost 0 12.195 * * [simplify]: Extracting # 10 : cost 0 12.195 * * [simplify]: Extracting # 11 : cost 0 12.195 * * [simplify]: Extracting # 12 : cost 0 12.195 * * [simplify]: Extracting # 13 : cost 0 12.196 * * [simplify]: iteration 0 : 102 enodes (cost 669 ) 12.236 * * [simplify]: Extracting # 0 : cost 0 12.237 * * [simplify]: Extracting # 1 : cost 0 12.237 * * [simplify]: Extracting # 2 : cost 0 12.238 * * [simplify]: Extracting # 3 : cost 0 12.238 * * [simplify]: Extracting # 4 : cost 0 12.239 * * [simplify]: iteration 1 : 222 enodes (cost 638 ) 12.363 * * [simplify]: Extracting # 0 : cost 0 12.363 * * [simplify]: Extracting # 1 : cost 0 12.364 * * [simplify]: Extracting # 2 : cost 0 12.365 * * [simplify]: Extracting # 3 : cost 0 12.366 * * [simplify]: Extracting # 4 : cost 0 12.367 * * [simplify]: iteration 2 : 462 enodes (cost 606 ) 12.525 * * [simplify]: Extracting # 0 : cost 0 12.526 * * [simplify]: Extracting # 1 : cost 0 12.533 * * [simplify]: Extracting # 2 : cost 0 12.535 * * [simplify]: Extracting # 3 : cost 0 12.537 * * [simplify]: Extracting # 4 : cost 0 12.540 * * [simplify]: iteration 3 : 1012 enodes (cost 580 ) 13.330 * * [simplify]: Extracting # 0 : cost 0 13.336 * * [simplify]: Extracting # 1 : cost 0 13.342 * * [simplify]: Extracting # 2 : cost 0 13.347 * * [simplify]: Extracting # 3 : cost 0 13.358 * * [simplify]: Extracting # 4 : cost 0 13.363 * * [simplify]: iteration 4 : 2697 enodes (cost 547 ) 14.704 * * [simplify]: Extracting # 0 : cost 0 14.716 * * [simplify]: Extracting # 1 : cost 0 14.727 * * [simplify]: Extracting # 2 : cost 0 14.738 * * [simplify]: Extracting # 3 : cost 0 14.748 * * [simplify]: Extracting # 4 : cost 0 14.765 * * [simplify]: iteration done: 5000 enodes (cost 544 ) 14.766 * [simplify]: Simplified to: (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) 1 (cbrt (+ f n)) 1 (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* n (- n f)) (* f f))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) 1 (cbrt (+ f n)) 1 (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* n (- n f)) (* f f))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (+ f n))) (exp (cbrt (+ f n))) (cbrt (* (cbrt (+ f n)) (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (cbrt (sqrt (+ f n))) (cbrt (sqrt (+ f n))) 1 (cbrt (+ f n)) 1 (cbrt (+ f n)) (cbrt (+ (pow f 3) (pow n 3))) (cbrt (+ (* n (- n f)) (* f f))) (cbrt (- (* f f) (* n n))) (cbrt (- f n)) (* (cbrt (cbrt (+ f n))) (cbrt (cbrt (+ f n)))) (cbrt (cbrt (+ f n))) (+ f n) (sqrt (cbrt (+ f n))) (sqrt (cbrt (+ f n))) (log (cbrt (- f n))) (exp (cbrt (- f n))) (cbrt (* (cbrt (- f n)) (cbrt (- f n)))) (cbrt (cbrt (- f n))) (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))) 1 (cbrt (- f n)) (cbrt (+ (sqrt f) (sqrt n))) (cbrt (- (sqrt f) (sqrt n))) 1 (cbrt (- f n)) (cbrt (- (pow f 3) (pow n 3))) (cbrt (+ (pow f 2) (* n (+ f n)))) (cbrt (- (* f f) (* n n))) (cbrt (+ f n)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))) (cbrt (cbrt (- f n))) (- f n) (sqrt (cbrt (- f n))) (sqrt (cbrt (- f n))) (+ (* f (+ (* (* f (pow n -5/3)) -1/9) (* (pow n -2/3) 1/3))) (cbrt n)) (pow (/ 1 f) -1/3) (* (cbrt -1) (cbrt (- f))) (+ (* f (+ (* (* f (pow n -5/3)) -1/9) (* (pow n -2/3) 1/3))) (cbrt n)) (pow (/ 1 f) -1/3) (* (cbrt -1) (cbrt (- f))) (+ (* f (+ (* (* f (pow n -5/3)) -1/9) (* (pow n -2/3) 1/3))) (cbrt n)) (pow (/ 1 f) -1/3) (* (cbrt -1) (cbrt (- f))) (- (cbrt (- n)) (* f (* (cbrt -1) (+ (* (pow n -2/3) 1/3) (* (* 1/9 f) (pow n -5/3)))))) (pow (/ 1 f) -1/3) (cbrt f) 14.767 * * * [progress]: adding candidates to table 15.149 * [progress]: [Phase 3 of 3] Extracting. 15.149 * * [regime]: Finding splitpoints for: (# # # # # #) 15.152 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 15.152 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# # # # # #) 15.178 * * * * [regimes]: Trying to branch on n from (# # # # # #) 15.201 * * * * [regimes]: Trying to branch on f from (# # # # # #) 15.228 * * * [regime]: Found split indices: #