1.370 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.066 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: Extracting # 3 : cost 0 0.066 * * [simplify]: Extracting # 4 : cost 0 0.066 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: Extracting # 1 : cost 0 0.071 * * [simplify]: Extracting # 2 : cost 0 0.071 * * [simplify]: iteration 1 : 16 enodes (cost 8 ) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.074 * * [simplify]: Extracting # 1 : cost 0 0.074 * * [simplify]: Extracting # 2 : cost 0 0.074 * * [simplify]: iteration 2 : 23 enodes (cost 8 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.078 * * [simplify]: Extracting # 1 : cost 0 0.078 * * [simplify]: Extracting # 2 : cost 0 0.078 * * [simplify]: iteration 3 : 27 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 4 : 31 enodes (cost 8 ) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: iteration done: 31 enodes (cost 8 ) 0.089 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.090 * * [progress]: iteration 1 / 4 0.090 * * * [progress]: picking best candidate 0.121 * * * * [pick]: Picked # 0.121 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.205 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.214 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.214 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.215 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.215 * [taylor]: Taking taylor expansion of -1 in n 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.216 * [taylor]: Taking taylor expansion of (+ n f) in n 0.216 * [taylor]: Taking taylor expansion of n in n 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of f in n 0.216 * [backup-simplify]: Simplify f into f 0.216 * [taylor]: Taking taylor expansion of (- f n) in n 0.216 * [taylor]: Taking taylor expansion of f in n 0.216 * [backup-simplify]: Simplify f into f 0.216 * [taylor]: Taking taylor expansion of n in n 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ 0 f) into f 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ f 0) into f 0.218 * [backup-simplify]: Simplify (/ f f) into 1 0.218 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.218 * [taylor]: Taking taylor expansion of -1 in f 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.218 * [taylor]: Taking taylor expansion of (+ n f) in f 0.218 * [taylor]: Taking taylor expansion of n in f 0.218 * [backup-simplify]: Simplify n into n 0.218 * [taylor]: Taking taylor expansion of f in f 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of (- f n) in f 0.218 * [taylor]: Taking taylor expansion of f in f 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of n in f 0.218 * [backup-simplify]: Simplify n into n 0.218 * [backup-simplify]: Simplify (+ n 0) into n 0.218 * [backup-simplify]: Simplify (- n) into (- n) 0.218 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.218 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.218 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.218 * [taylor]: Taking taylor expansion of -1 in f 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.219 * [taylor]: Taking taylor expansion of (+ n f) in f 0.219 * [taylor]: Taking taylor expansion of n in f 0.219 * [backup-simplify]: Simplify n into n 0.219 * [taylor]: Taking taylor expansion of f in f 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of (- f n) in f 0.219 * [taylor]: Taking taylor expansion of f in f 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of n in f 0.219 * [backup-simplify]: Simplify n into n 0.219 * [backup-simplify]: Simplify (+ n 0) into n 0.219 * [backup-simplify]: Simplify (- n) into (- n) 0.219 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.219 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.220 * [backup-simplify]: Simplify (* -1 -1) into 1 0.221 * [taylor]: Taking taylor expansion of 1 in n 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.223 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.223 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.223 * [taylor]: Taking taylor expansion of 2 in n 0.223 * [backup-simplify]: Simplify 2 into 2 0.223 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.223 * [taylor]: Taking taylor expansion of n in n 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.227 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.228 * [taylor]: Taking taylor expansion of 2 in n 0.228 * [backup-simplify]: Simplify 2 into 2 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.228 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.228 * [taylor]: Taking taylor expansion of n in n 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [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)))) 0.248 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 0.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.248 * [taylor]: Taking taylor expansion of 2 in n 0.248 * [backup-simplify]: Simplify 2 into 2 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.248 * [taylor]: Taking taylor expansion of (pow n 3) 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 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.258 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.258 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.258 * [taylor]: Taking taylor expansion of -1 in n 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.258 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.258 * [taylor]: Taking taylor expansion of f in n 0.258 * [backup-simplify]: Simplify f into f 0.258 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.258 * [taylor]: Taking taylor expansion of n in n 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.259 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.259 * [taylor]: Taking taylor expansion of f in n 0.259 * [backup-simplify]: Simplify f into f 0.259 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.259 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.259 * [taylor]: Taking taylor expansion of n in n 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.261 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.261 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.261 * [taylor]: Taking taylor expansion of -1 in f 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.261 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.261 * [taylor]: Taking taylor expansion of f in f 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.262 * [taylor]: Taking taylor expansion of n in f 0.262 * [backup-simplify]: Simplify n into n 0.262 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.262 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.262 * [taylor]: Taking taylor expansion of f in f 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.262 * [taylor]: Taking taylor expansion of n in f 0.262 * [backup-simplify]: Simplify n into n 0.262 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.263 * [taylor]: Taking taylor expansion of -1 in f 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.263 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.263 * [taylor]: Taking taylor expansion of f in f 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.263 * [taylor]: Taking taylor expansion of n in f 0.263 * [backup-simplify]: Simplify n into n 0.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.263 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.263 * [taylor]: Taking taylor expansion of f in f 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.264 * [taylor]: Taking taylor expansion of n in f 0.264 * [backup-simplify]: Simplify n into n 0.264 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (* -1 1) into -1 0.265 * [taylor]: Taking taylor expansion of -1 in n 0.265 * [backup-simplify]: Simplify -1 into -1 0.265 * [backup-simplify]: Simplify -1 into -1 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.266 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.266 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.266 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.266 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.267 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.267 * [taylor]: Taking taylor expansion of 2 in n 0.267 * [backup-simplify]: Simplify 2 into 2 0.267 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.273 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.273 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.273 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.273 * [taylor]: Taking taylor expansion of 2 in n 0.273 * [backup-simplify]: Simplify 2 into 2 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.273 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 0.282 * [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)))) 0.282 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.282 * [taylor]: Taking taylor expansion of 2 in n 0.282 * [backup-simplify]: Simplify 2 into 2 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.282 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify -1 into -1 0.288 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.289 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 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 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 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 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.290 * [taylor]: Taking taylor expansion of f in n 0.290 * [backup-simplify]: Simplify f into f 0.290 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.290 * [backup-simplify]: Simplify (+ 0 1) into 1 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 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 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.291 * [taylor]: Taking taylor expansion of n in f 0.291 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.291 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.291 * [taylor]: Taking taylor expansion of n in f 0.291 * [backup-simplify]: Simplify n into n 0.291 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.291 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.291 * [taylor]: Taking taylor expansion of f in f 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (- 1) into -1 0.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.293 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.293 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.293 * [taylor]: Taking taylor expansion of f in f 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 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 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.293 * [taylor]: Taking taylor expansion of f in f 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.295 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.295 * [taylor]: Taking taylor expansion of -1 in n 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [backup-simplify]: Simplify -1 into -1 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.296 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.296 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.296 * [taylor]: Taking taylor expansion of 2 in n 0.296 * [backup-simplify]: Simplify 2 into 2 0.296 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.300 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.301 * [taylor]: Taking taylor expansion of 2 in n 0.301 * [backup-simplify]: Simplify 2 into 2 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.301 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [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)))) 0.343 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.343 * [taylor]: Taking taylor expansion of 2 in n 0.343 * [backup-simplify]: Simplify 2 into 2 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [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 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify -1 into -1 0.360 * * * [progress]: simplifying candidates 0.365 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) 1) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ -1 1) (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ -1 1) (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ (- 1) (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (- 1) (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) (/ (- 1) 1) (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) 1) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ 1 1) (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) 1) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) 1) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) 1 -1 -1 0.370 * * [simplify]: Extracting # 0 : cost 0 0.370 * * [simplify]: Extracting # 1 : cost 0 0.370 * * [simplify]: Extracting # 2 : cost 0 0.370 * * [simplify]: Extracting # 3 : cost 0 0.370 * * [simplify]: Extracting # 4 : cost 0 0.371 * * [simplify]: Extracting # 5 : cost 0 0.371 * * [simplify]: Extracting # 6 : cost 0 0.371 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.538 * * [simplify]: Extracting # 0 : cost 0 0.539 * * [simplify]: Extracting # 1 : cost 0 0.540 * * [simplify]: Extracting # 2 : cost 0 0.541 * * [simplify]: Extracting # 3 : cost 0 0.542 * * [simplify]: Extracting # 4 : cost 0 0.543 * * [simplify]: iteration 1 : 695 enodes (cost 1395 ) 3.347 * * [simplify]: Extracting # 0 : cost 0 3.356 * * [simplify]: Extracting # 1 : cost 0 3.369 * * [simplify]: Extracting # 2 : cost 0 3.382 * * [simplify]: Extracting # 3 : cost 0 3.397 * * [simplify]: Extracting # 4 : cost 0 3.409 * * [simplify]: Extracting # 5 : cost 0 3.421 * * [simplify]: iteration done: 5000 enodes (cost 1365 ) 3.422 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ f n) (- (- f n)) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f 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))) (/ (- (+ f n)) (- (* f f) (* n n))) (* (fma f f (* (- n f) n)) (- f n)) (* (- f n) (- f n)) 1 -1 -1 3.424 * * * [progress]: adding candidates to table 3.633 * * [progress]: iteration 2 / 4 3.633 * * * [progress]: picking best candidate 3.641 * * * * [pick]: Picked # 3.641 * * * [progress]: localizing error 3.649 * * * [progress]: generating rewritten candidates 3.649 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.696 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.827 * * * [progress]: generating series expansions 3.827 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.827 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 3.827 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 3.827 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 3.827 * [taylor]: Taking taylor expansion of -1 in n 3.827 * [backup-simplify]: Simplify -1 into -1 3.827 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 3.827 * [taylor]: Taking taylor expansion of (- f n) in n 3.827 * [taylor]: Taking taylor expansion of f in n 3.828 * [backup-simplify]: Simplify f into f 3.828 * [taylor]: Taking taylor expansion of n in n 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [taylor]: Taking taylor expansion of (+ n f) in n 3.828 * [taylor]: Taking taylor expansion of n in n 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [taylor]: Taking taylor expansion of f in n 3.828 * [backup-simplify]: Simplify f into f 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify (+ f 0) into f 3.829 * [backup-simplify]: Simplify (+ 0 f) into f 3.829 * [backup-simplify]: Simplify (/ f f) into 1 3.829 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 3.829 * [taylor]: Taking taylor expansion of -1 in f 3.829 * [backup-simplify]: Simplify -1 into -1 3.829 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.829 * [taylor]: Taking taylor expansion of (- f n) in f 3.829 * [taylor]: Taking taylor expansion of f in f 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.829 * [taylor]: Taking taylor expansion of n in f 3.829 * [backup-simplify]: Simplify n into n 3.829 * [taylor]: Taking taylor expansion of (+ n f) in f 3.829 * [taylor]: Taking taylor expansion of n in f 3.829 * [backup-simplify]: Simplify n into n 3.829 * [taylor]: Taking taylor expansion of f in f 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.829 * [backup-simplify]: Simplify (- n) into (- n) 3.829 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.829 * [backup-simplify]: Simplify (+ n 0) into n 3.829 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.830 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 3.830 * [taylor]: Taking taylor expansion of -1 in f 3.830 * [backup-simplify]: Simplify -1 into -1 3.830 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 3.830 * [taylor]: Taking taylor expansion of (- f n) in f 3.830 * [taylor]: Taking taylor expansion of f in f 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [taylor]: Taking taylor expansion of n in f 3.830 * [backup-simplify]: Simplify n into n 3.830 * [taylor]: Taking taylor expansion of (+ n f) in f 3.830 * [taylor]: Taking taylor expansion of n in f 3.830 * [backup-simplify]: Simplify n into n 3.830 * [taylor]: Taking taylor expansion of f in f 3.830 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (- n) into (- n) 3.830 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.830 * [backup-simplify]: Simplify (+ n 0) into n 3.830 * [backup-simplify]: Simplify (/ (- n) n) into -1 3.831 * [backup-simplify]: Simplify (* -1 -1) into 1 3.831 * [taylor]: Taking taylor expansion of 1 in n 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (- 0) into 0 3.832 * [backup-simplify]: Simplify (+ 1 0) into 1 3.832 * [backup-simplify]: Simplify (+ 0 1) into 1 3.832 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 3.833 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 3.834 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.834 * [taylor]: Taking taylor expansion of 2 in n 3.834 * [backup-simplify]: Simplify 2 into 2 3.834 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.834 * [taylor]: Taking taylor expansion of n in n 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (- 0) into 0 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (- 0) into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 3.839 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.839 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.839 * [taylor]: Taking taylor expansion of 2 in n 3.839 * [backup-simplify]: Simplify 2 into 2 3.839 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.839 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.839 * [taylor]: Taking taylor expansion of n in n 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (* 1 1) into 1 3.840 * [backup-simplify]: Simplify (/ 1 1) into 1 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (- 0) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (- 0) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 3.850 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.850 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.850 * [taylor]: Taking taylor expansion of 2 in n 3.850 * [backup-simplify]: Simplify 2 into 2 3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.850 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.850 * [taylor]: Taking taylor expansion of n in n 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (* 1 1) into 1 3.851 * [backup-simplify]: Simplify (/ 1 1) into 1 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 3.862 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 3.862 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 3.862 * [taylor]: Taking taylor expansion of -1 in n 3.862 * [backup-simplify]: Simplify -1 into -1 3.862 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 3.862 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.862 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.862 * [taylor]: Taking taylor expansion of f in n 3.862 * [backup-simplify]: Simplify f into f 3.862 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.862 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.862 * [taylor]: Taking taylor expansion of n in n 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (/ 1 1) into 1 3.863 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.863 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.863 * [taylor]: Taking taylor expansion of f in n 3.863 * [backup-simplify]: Simplify f into f 3.863 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.863 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.863 * [taylor]: Taking taylor expansion of n in n 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [backup-simplify]: Simplify (- 1) into -1 3.864 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.865 * [backup-simplify]: Simplify (+ 0 1) into 1 3.865 * [backup-simplify]: Simplify (/ -1 1) into -1 3.865 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.865 * [taylor]: Taking taylor expansion of -1 in f 3.865 * [backup-simplify]: Simplify -1 into -1 3.865 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.865 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.865 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.865 * [taylor]: Taking taylor expansion of f in f 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.866 * [taylor]: Taking taylor expansion of n in f 3.866 * [backup-simplify]: Simplify n into n 3.866 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.866 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.866 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.866 * [taylor]: Taking taylor expansion of f in f 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.867 * [taylor]: Taking taylor expansion of n in f 3.867 * [backup-simplify]: Simplify n into n 3.867 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.867 * [backup-simplify]: Simplify (+ 1 0) into 1 3.867 * [backup-simplify]: Simplify (+ 1 0) into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 3.868 * [taylor]: Taking taylor expansion of -1 in f 3.868 * [backup-simplify]: Simplify -1 into -1 3.868 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 3.868 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.868 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.868 * [taylor]: Taking taylor expansion of f in f 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (/ 1 1) into 1 3.869 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.869 * [taylor]: Taking taylor expansion of n in f 3.869 * [backup-simplify]: Simplify n into n 3.869 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.869 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.869 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.869 * [taylor]: Taking taylor expansion of f in f 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (/ 1 1) into 1 3.869 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.869 * [taylor]: Taking taylor expansion of n in f 3.869 * [backup-simplify]: Simplify n into n 3.869 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.870 * [backup-simplify]: Simplify (+ 1 0) into 1 3.870 * [backup-simplify]: Simplify (+ 1 0) into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.871 * [backup-simplify]: Simplify (* -1 1) into -1 3.871 * [taylor]: Taking taylor expansion of -1 in n 3.871 * [backup-simplify]: Simplify -1 into -1 3.871 * [backup-simplify]: Simplify -1 into -1 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.872 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.873 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 3.874 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 3.874 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.874 * [taylor]: Taking taylor expansion of 2 in n 3.874 * [backup-simplify]: Simplify 2 into 2 3.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.875 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.878 * [backup-simplify]: Simplify (- 0) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 3.882 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.882 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.882 * [taylor]: Taking taylor expansion of 2 in n 3.882 * [backup-simplify]: Simplify 2 into 2 3.882 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.882 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.882 * [taylor]: Taking taylor expansion of n in n 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify (* 1 1) into 1 3.883 * [backup-simplify]: Simplify (/ 1 1) into 1 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.887 * [backup-simplify]: Simplify (- 0) into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 3.897 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1)))) into (* 2 (/ 1 (pow n 3))) 3.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.897 * [taylor]: Taking taylor expansion of 2 in n 3.897 * [backup-simplify]: Simplify 2 into 2 3.897 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.897 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.897 * [taylor]: Taking taylor expansion of n in n 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.898 * [backup-simplify]: Simplify (/ 1 1) into 1 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.907 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify -1 into -1 3.908 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 3.908 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 3.908 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 3.908 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.908 * [taylor]: Taking taylor expansion of n in n 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (/ 1 1) into 1 3.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.908 * [taylor]: Taking taylor expansion of f in n 3.908 * [backup-simplify]: Simplify f into f 3.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.908 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.908 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.908 * [taylor]: Taking taylor expansion of f in n 3.908 * [backup-simplify]: Simplify f into f 3.908 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.908 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.909 * [taylor]: Taking taylor expansion of n in n 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (/ 1 1) into 1 3.909 * [backup-simplify]: Simplify (+ 1 0) into 1 3.910 * [backup-simplify]: Simplify (+ 0 1) into 1 3.910 * [backup-simplify]: Simplify (/ 1 1) into 1 3.910 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.910 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.910 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.910 * [taylor]: Taking taylor expansion of n in f 3.910 * [backup-simplify]: Simplify n into n 3.910 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.910 * [taylor]: Taking taylor expansion of f in f 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.911 * [taylor]: Taking taylor expansion of f in f 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.911 * [taylor]: Taking taylor expansion of n in f 3.911 * [backup-simplify]: Simplify n into n 3.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.912 * [backup-simplify]: Simplify (- 1) into -1 3.912 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.913 * [backup-simplify]: Simplify (+ 1 0) into 1 3.913 * [backup-simplify]: Simplify (/ -1 1) into -1 3.913 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 3.913 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.913 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.913 * [taylor]: Taking taylor expansion of n in f 3.913 * [backup-simplify]: Simplify n into n 3.913 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.913 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.913 * [taylor]: Taking taylor expansion of f in f 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (/ 1 1) into 1 3.914 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.914 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.914 * [taylor]: Taking taylor expansion of f in f 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (/ 1 1) into 1 3.914 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.914 * [taylor]: Taking taylor expansion of n in f 3.914 * [backup-simplify]: Simplify n into n 3.914 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.915 * [backup-simplify]: Simplify (- 1) into -1 3.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.916 * [backup-simplify]: Simplify (+ 1 0) into 1 3.916 * [backup-simplify]: Simplify (/ -1 1) into -1 3.916 * [taylor]: Taking taylor expansion of -1 in n 3.916 * [backup-simplify]: Simplify -1 into -1 3.916 * [backup-simplify]: Simplify -1 into -1 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (- 0) into 0 3.917 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.918 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 3.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.918 * [taylor]: Taking taylor expansion of 2 in n 3.918 * [backup-simplify]: Simplify 2 into 2 3.918 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.918 * [taylor]: Taking taylor expansion of n in n 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (- 0) into 0 3.922 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.924 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.925 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.925 * [taylor]: Taking taylor expansion of 2 in n 3.925 * [backup-simplify]: Simplify 2 into 2 3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.925 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.925 * [taylor]: Taking taylor expansion of n in n 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.931 * [backup-simplify]: Simplify (- 0) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.936 * [backup-simplify]: Simplify (+ 0 0) into 0 3.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 3))) 3.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.938 * [taylor]: Taking taylor expansion of 2 in n 3.938 * [backup-simplify]: Simplify 2 into 2 3.938 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.938 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.938 * [taylor]: Taking taylor expansion of n in n 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.939 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify -1 into -1 3.949 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.949 * [backup-simplify]: Simplify (/ 1 (/ (- f n) (- (+ f n)))) into (* -1 (/ (+ n f) (- f n))) 3.949 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.949 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.949 * [taylor]: Taking taylor expansion of -1 in n 3.949 * [backup-simplify]: Simplify -1 into -1 3.949 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.949 * [taylor]: Taking taylor expansion of (+ n f) in n 3.950 * [taylor]: Taking taylor expansion of n in n 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [taylor]: Taking taylor expansion of f in n 3.950 * [backup-simplify]: Simplify f into f 3.950 * [taylor]: Taking taylor expansion of (- f n) in n 3.950 * [taylor]: Taking taylor expansion of f in n 3.950 * [backup-simplify]: Simplify f into f 3.950 * [taylor]: Taking taylor expansion of n in n 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (+ 0 f) into f 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.950 * [backup-simplify]: Simplify (+ f 0) into f 3.950 * [backup-simplify]: Simplify (/ f f) into 1 3.950 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.950 * [taylor]: Taking taylor expansion of -1 in f 3.950 * [backup-simplify]: Simplify -1 into -1 3.950 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.950 * [taylor]: Taking taylor expansion of (+ n f) in f 3.950 * [taylor]: Taking taylor expansion of n in f 3.950 * [backup-simplify]: Simplify n into n 3.950 * [taylor]: Taking taylor expansion of f in f 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [taylor]: Taking taylor expansion of (- f n) in f 3.950 * [taylor]: Taking taylor expansion of f in f 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [taylor]: Taking taylor expansion of n in f 3.950 * [backup-simplify]: Simplify n into n 3.950 * [backup-simplify]: Simplify (+ n 0) into n 3.950 * [backup-simplify]: Simplify (- n) into (- n) 3.950 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.950 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.950 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.951 * [taylor]: Taking taylor expansion of -1 in f 3.951 * [backup-simplify]: Simplify -1 into -1 3.951 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.951 * [taylor]: Taking taylor expansion of (+ n f) in f 3.951 * [taylor]: Taking taylor expansion of n in f 3.951 * [backup-simplify]: Simplify n into n 3.951 * [taylor]: Taking taylor expansion of f in f 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [taylor]: Taking taylor expansion of (- f n) in f 3.951 * [taylor]: Taking taylor expansion of f in f 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [taylor]: Taking taylor expansion of n in f 3.951 * [backup-simplify]: Simplify n into n 3.951 * [backup-simplify]: Simplify (+ n 0) into n 3.951 * [backup-simplify]: Simplify (- n) into (- n) 3.951 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.951 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.951 * [backup-simplify]: Simplify (* -1 -1) into 1 3.951 * [taylor]: Taking taylor expansion of 1 in n 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify 1 into 1 3.952 * [backup-simplify]: Simplify (+ 0 1) into 1 3.952 * [backup-simplify]: Simplify (- 0) into 0 3.952 * [backup-simplify]: Simplify (+ 1 0) into 1 3.952 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.953 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.953 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.953 * [taylor]: Taking taylor expansion of 2 in n 3.953 * [backup-simplify]: Simplify 2 into 2 3.953 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.953 * [taylor]: Taking taylor expansion of n in n 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify (/ 1 1) into 1 3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (+ 0 0) into 0 3.954 * [backup-simplify]: Simplify (- 0) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.955 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.955 * [taylor]: Taking taylor expansion of 2 in n 3.955 * [backup-simplify]: Simplify 2 into 2 3.956 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.956 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.956 * [taylor]: Taking taylor expansion of n in n 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (* 1 1) into 1 3.956 * [backup-simplify]: Simplify (/ 1 1) into 1 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (- 0) into 0 3.960 * [backup-simplify]: Simplify (+ 0 0) into 0 3.961 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 3.961 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 3.961 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.961 * [taylor]: Taking taylor expansion of 2 in n 3.962 * [backup-simplify]: Simplify 2 into 2 3.962 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.962 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.962 * [taylor]: Taking taylor expansion of n in n 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.971 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.971 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.971 * [taylor]: Taking taylor expansion of -1 in n 3.971 * [backup-simplify]: Simplify -1 into -1 3.971 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.971 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.971 * [taylor]: Taking taylor expansion of f in n 3.972 * [backup-simplify]: Simplify f into f 3.972 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.972 * [taylor]: Taking taylor expansion of n in n 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.972 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.972 * [taylor]: Taking taylor expansion of f in n 3.972 * [backup-simplify]: Simplify f into f 3.972 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.972 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.972 * [taylor]: Taking taylor expansion of n in n 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [backup-simplify]: Simplify (+ 0 1) into 1 3.973 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.973 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.973 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.973 * [taylor]: Taking taylor expansion of -1 in f 3.973 * [backup-simplify]: Simplify -1 into -1 3.973 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.973 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.973 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.974 * [taylor]: Taking taylor expansion of f in f 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.974 * [taylor]: Taking taylor expansion of n in f 3.974 * [backup-simplify]: Simplify n into n 3.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.974 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.974 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.974 * [taylor]: Taking taylor expansion of f in f 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.974 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.974 * [taylor]: Taking taylor expansion of n in f 3.974 * [backup-simplify]: Simplify n into n 3.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (+ 1 0) into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.975 * [taylor]: Taking taylor expansion of -1 in f 3.975 * [backup-simplify]: Simplify -1 into -1 3.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.975 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.975 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.975 * [taylor]: Taking taylor expansion of f in f 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.976 * [taylor]: Taking taylor expansion of n in f 3.976 * [backup-simplify]: Simplify n into n 3.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.976 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.976 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.976 * [taylor]: Taking taylor expansion of f in f 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.976 * [taylor]: Taking taylor expansion of n in f 3.976 * [backup-simplify]: Simplify n into n 3.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.976 * [backup-simplify]: Simplify (+ 1 0) into 1 3.977 * [backup-simplify]: Simplify (+ 1 0) into 1 3.977 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [backup-simplify]: Simplify (* -1 1) into -1 3.977 * [taylor]: Taking taylor expansion of -1 in n 3.977 * [backup-simplify]: Simplify -1 into -1 3.977 * [backup-simplify]: Simplify -1 into -1 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.978 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.979 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.979 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.979 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.979 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.979 * [taylor]: Taking taylor expansion of 2 in n 3.979 * [backup-simplify]: Simplify 2 into 2 3.979 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.979 * [taylor]: Taking taylor expansion of n in n 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.983 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.985 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.985 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.985 * [taylor]: Taking taylor expansion of 2 in n 3.985 * [backup-simplify]: Simplify 2 into 2 3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.985 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.985 * [taylor]: Taking taylor expansion of n in n 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (* 1 1) into 1 3.986 * [backup-simplify]: Simplify (/ 1 1) into 1 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.991 * [backup-simplify]: Simplify (- 0) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.993 * [backup-simplify]: Simplify (- 0) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.996 * [backup-simplify]: Simplify (- 0) into 0 3.997 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 3.999 * [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)))) 4.000 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.000 * [taylor]: Taking taylor expansion of 2 in n 4.000 * [backup-simplify]: Simplify 2 into 2 4.000 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.000 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.000 * [taylor]: Taking taylor expansion of n in n 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (/ 1 1) into 1 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (- 0) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify -1 into -1 4.007 * [backup-simplify]: Simplify (/ 1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 4.007 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 4.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.007 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.007 * [taylor]: Taking taylor expansion of f in n 4.007 * [backup-simplify]: Simplify f into f 4.007 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.007 * [taylor]: Taking taylor expansion of n in n 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (/ 1 1) into 1 4.007 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.007 * [taylor]: Taking taylor expansion of n in n 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (/ 1 1) into 1 4.007 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.007 * [taylor]: Taking taylor expansion of f in n 4.008 * [backup-simplify]: Simplify f into f 4.008 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.008 * [backup-simplify]: Simplify (+ 0 1) into 1 4.008 * [backup-simplify]: Simplify (+ 1 0) into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.008 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.008 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.008 * [taylor]: Taking taylor expansion of f in f 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (/ 1 1) into 1 4.009 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.009 * [taylor]: Taking taylor expansion of n in f 4.009 * [backup-simplify]: Simplify n into n 4.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.009 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.009 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.009 * [taylor]: Taking taylor expansion of n in f 4.009 * [backup-simplify]: Simplify n into n 4.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.009 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.009 * [taylor]: Taking taylor expansion of f in f 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (/ 1 1) into 1 4.009 * [backup-simplify]: Simplify (+ 1 0) into 1 4.010 * [backup-simplify]: Simplify (- 1) into -1 4.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.010 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.010 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.010 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.010 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.010 * [taylor]: Taking taylor expansion of f in f 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (/ 1 1) into 1 4.011 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.011 * [taylor]: Taking taylor expansion of n in f 4.011 * [backup-simplify]: Simplify n into n 4.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.011 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.011 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.011 * [taylor]: Taking taylor expansion of n in f 4.011 * [backup-simplify]: Simplify n into n 4.011 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.011 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.011 * [taylor]: Taking taylor expansion of f in f 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (/ 1 1) into 1 4.011 * [backup-simplify]: Simplify (+ 1 0) into 1 4.012 * [backup-simplify]: Simplify (- 1) into -1 4.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.012 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.012 * [taylor]: Taking taylor expansion of -1 in n 4.012 * [backup-simplify]: Simplify -1 into -1 4.012 * [backup-simplify]: Simplify -1 into -1 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.014 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.014 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 4.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 4.014 * [taylor]: Taking taylor expansion of 2 in n 4.014 * [backup-simplify]: Simplify 2 into 2 4.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.014 * [taylor]: Taking taylor expansion of n in n 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (/ 1 1) into 1 4.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (- 0) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 4.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 4.018 * [taylor]: Taking taylor expansion of 2 in n 4.018 * [backup-simplify]: Simplify 2 into 2 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.021 * [backup-simplify]: Simplify (- 0) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (- 0) into 0 4.025 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [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)))) 4.026 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 4.026 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 4.026 * [taylor]: Taking taylor expansion of 2 in n 4.026 * [backup-simplify]: Simplify 2 into 2 4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 4.026 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.026 * [taylor]: Taking taylor expansion of n in n 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.027 * [backup-simplify]: Simplify (/ 1 1) into 1 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify -1 into -1 4.032 * * * [progress]: simplifying candidates 4.041 * [simplify]: Simplifying: (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (- (log (- f n)) (log (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (- (+ f n)) (- (+ f n))) (- (+ f n)))) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (* (* (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n)))) (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- (- f n)) (- (- (+ f n))) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (sqrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) -1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (sqrt (+ f n)))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- 1)) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- 1)) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt 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(sqrt n)) 1)) (/ 1 (/ (+ (sqrt f) (sqrt n)) 1)) (/ 1 (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))))) (/ 1 (/ 1 (sqrt (- (+ f n))))) (/ 1 (/ 1 1)) (/ 1 (/ 1 -1)) (/ 1 (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ 1 (/ 1 (- (sqrt (+ f n))))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (- 1))) (/ 1 (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ 1 (/ 1 (sqrt (+ f n)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- f n)) (/ 1 (/ (- f n) (- (+ (pow f 3) (pow n 3))))) (/ 1 (/ (- f n) (- (- (* f f) (* n n))))) (/ (/ (- f n) (- (+ f n))) (cbrt 1)) (/ (/ (- f n) (- (+ f n))) (sqrt 1)) (/ (/ (- f n) (- (+ f n))) 1) (/ 1 (- f n)) 1 -1 -1 1 -1 -1 4.061 * * [simplify]: Extracting # 0 : cost 0 4.062 * * [simplify]: Extracting # 1 : cost 0 4.064 * * [simplify]: Extracting # 2 : cost 0 4.065 * * [simplify]: Extracting # 3 : cost 0 4.067 * * [simplify]: Extracting # 4 : cost 0 4.068 * * [simplify]: Extracting # 5 : cost 0 4.069 * * [simplify]: Extracting # 6 : cost 0 4.077 * * [simplify]: Extracting # 7 : cost 0 4.078 * * [simplify]: Extracting # 8 : cost 0 4.080 * * [simplify]: iteration 0 : 393 enodes (cost 7392 ) 8.154 * * [simplify]: Extracting # 0 : cost 0 8.163 * * [simplify]: Extracting # 1 : cost 0 8.169 * * [simplify]: Extracting # 2 : cost 0 8.175 * * [simplify]: Extracting # 3 : cost 0 8.182 * * [simplify]: Extracting # 4 : cost 0 8.188 * * [simplify]: iteration 1 : 3470 enodes (cost 6204 ) 11.321 * * [simplify]: Extracting # 0 : cost 0 11.329 * * [simplify]: Extracting # 1 : cost 0 11.334 * * [simplify]: Extracting # 2 : cost 0 11.339 * * [simplify]: Extracting # 3 : cost 0 11.345 * * [simplify]: iteration done: 5000 enodes (cost 6126 ) 11.348 * [simplify]: Simplified to: (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ 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1 (/ (- f n) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ 1 (/ (- f n) (- (cbrt (+ f n))))) (sqrt (+ f n)) (/ 1 (/ (- f n) (- (sqrt (+ f n))))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))))) (/ 1 (/ (- (sqrt f) (sqrt n)) (cbrt (- (+ f n))))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n))))) (/ 1 (/ (- (sqrt f) (sqrt n)) (sqrt (- (+ f n))))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (- (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) -1)) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ 1 (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n))))) (/ 1 (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (+ (sqrt f) (sqrt n)) -1)) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) -1)) (/ 1 (/ (- (sqrt f) (sqrt n)) (+ f n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ 1 (/ (- (sqrt f) (sqrt n)) (- (cbrt (+ f n))))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (/ (- (sqrt f) (sqrt n)) (- (sqrt (+ f n))))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (- (+ f n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (- (sqrt f) (sqrt n)) (- (+ f n)))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ 1 (/ (- f n) (cbrt (- (+ f n))))) (sqrt (- (+ f n))) (/ 1 (/ (- f n) (sqrt (- (+ f n))))) 1 (/ (- (+ f n)) (- f n)) -1 (/ 1 (/ (- f n) (+ f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ 1 (/ (- f n) (cbrt (+ f n)))) (- (sqrt (+ f n))) (/ 1 (/ (- f n) (sqrt (+ f n)))) -1 (/ 1 (/ (- f n) (+ f n))) -1 (/ 1 (/ (- f n) (+ f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ 1 (/ (- f n) (- (cbrt (+ f n))))) (sqrt (+ f n)) (/ 1 (/ (- f n) (- (sqrt (+ f n))))) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (- (+ f n)) (/ 1 (/ (- f n) (- (+ (pow f 3) (pow n 3))))) (/ 1 (fma f f (* (- n f) n))) (* (/ (- (+ f n)) (- f n)) (- f n)) (/ 1 (- f n)) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ f n))) (/ (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (* (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n))))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) -1) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (sqrt (+ f n))))) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) -1) (* (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) -1) (* (* (cbrt (+ f n)) (cbrt (+ f n))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (/ 1 (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (/ (sqrt (- f n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))))) (/ 1 (/ (sqrt (- f n)) (sqrt (- (+ f n))))) (/ 1 (sqrt (- f n))) (/ 1 (/ (sqrt (- f n)) -1)) (/ 1 (/ (sqrt (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ 1 (/ (sqrt (- f n)) (- (sqrt (+ f n))))) (/ 1 (/ (sqrt (- f n)) -1)) (/ 1 (/ (sqrt (- f n)) -1)) (/ 1 (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ 1 (/ (sqrt (- f n)) (sqrt (+ f n)))) (/ 1 (sqrt (- f n))) (/ 1 (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- (+ f n))) 1 -1 (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n))))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (/ (+ (sqrt f) (sqrt n)) -1)) (/ 1 (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n)))))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n))))) (/ 1 (/ (+ (sqrt f) (sqrt n)) -1)) (/ 1 (/ (+ (sqrt f) (sqrt n)) -1)) (/ 1 (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ 1 (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n)))) (/ 1 (+ (sqrt f) (sqrt n))) (/ 1 (+ (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- (+ f n))) 1 -1 (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (- (sqrt (+ f n))) -1 -1 (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (+ f n)) 1 1 1 (/ 1 (- f n)) (/ 1 (/ (- f n) (- (+ (pow f 3) (pow n 3))))) (* (/ (- (+ f n)) (- f n)) (- f n)) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ 1 (- f n)) 1 -1 -1 1 -1 -1 11.354 * * * [progress]: adding candidates to table 11.897 * * [progress]: iteration 3 / 4 11.897 * * * [progress]: picking best candidate 11.906 * * * * [pick]: Picked # 11.906 * * * [progress]: localizing error 11.919 * * * [progress]: generating rewritten candidates 11.919 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 11.919 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 11.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.970 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.976 * * * [progress]: generating series expansions 11.976 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 11.976 * [backup-simplify]: Simplify (expm1 (/ (- f n) (- (+ f n)))) into (expm1 (* -1 (/ (- f n) (+ n f)))) 11.977 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in (f n) around 0 11.977 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in n 11.978 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 11.978 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in n 11.978 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 11.978 * [taylor]: Taking taylor expansion of -1 in n 11.978 * [backup-simplify]: Simplify -1 into -1 11.978 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 11.978 * [taylor]: Taking taylor expansion of (- f n) in n 11.978 * [taylor]: Taking taylor expansion of f in n 11.978 * [backup-simplify]: Simplify f into f 11.978 * [taylor]: Taking taylor expansion of n in n 11.978 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify 1 into 1 11.978 * [taylor]: Taking taylor expansion of (+ n f) in n 11.978 * [taylor]: Taking taylor expansion of n in n 11.978 * [backup-simplify]: Simplify 0 into 0 11.978 * [backup-simplify]: Simplify 1 into 1 11.978 * [taylor]: Taking taylor expansion of f in n 11.978 * [backup-simplify]: Simplify f into f 11.979 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ f 0) into f 11.979 * [backup-simplify]: Simplify (+ 0 f) into f 11.979 * [backup-simplify]: Simplify (/ f f) into 1 11.979 * [backup-simplify]: Simplify (* -1 1) into -1 11.980 * [backup-simplify]: Simplify (exp -1) into (exp -1) 11.980 * [taylor]: Taking taylor expansion of 1 in n 11.980 * [backup-simplify]: Simplify 1 into 1 11.980 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 11.980 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 11.980 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 11.980 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 11.980 * [taylor]: Taking taylor expansion of -1 in f 11.980 * [backup-simplify]: Simplify -1 into -1 11.980 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 11.980 * [taylor]: Taking taylor expansion of (- f n) in f 11.980 * [taylor]: Taking taylor expansion of f in f 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify 1 into 1 11.980 * [taylor]: Taking taylor expansion of n in f 11.980 * [backup-simplify]: Simplify n into n 11.980 * [taylor]: Taking taylor expansion of (+ n f) in f 11.980 * [taylor]: Taking taylor expansion of n in f 11.980 * [backup-simplify]: Simplify n into n 11.980 * [taylor]: Taking taylor expansion of f in f 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify 1 into 1 11.980 * [backup-simplify]: Simplify (- n) into (- n) 11.980 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.981 * [backup-simplify]: Simplify (+ n 0) into n 11.981 * [backup-simplify]: Simplify (/ (- n) n) into -1 11.981 * [backup-simplify]: Simplify (* -1 -1) into 1 11.981 * [backup-simplify]: Simplify (exp 1) into E 11.981 * [taylor]: Taking taylor expansion of 1 in f 11.981 * [backup-simplify]: Simplify 1 into 1 11.981 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 11.981 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 11.981 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 11.981 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 11.981 * [taylor]: Taking taylor expansion of -1 in f 11.981 * [backup-simplify]: Simplify -1 into -1 11.981 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 11.981 * [taylor]: Taking taylor expansion of (- f n) in f 11.981 * [taylor]: Taking taylor expansion of f in f 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify 1 into 1 11.981 * [taylor]: Taking taylor expansion of n in f 11.981 * [backup-simplify]: Simplify n into n 11.981 * [taylor]: Taking taylor expansion of (+ n f) in f 11.981 * [taylor]: Taking taylor expansion of n in f 11.981 * [backup-simplify]: Simplify n into n 11.981 * [taylor]: Taking taylor expansion of f in f 11.981 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify 1 into 1 11.981 * [backup-simplify]: Simplify (- n) into (- n) 11.981 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 11.982 * [backup-simplify]: Simplify (+ n 0) into n 11.982 * [backup-simplify]: Simplify (/ (- n) n) into -1 11.982 * [backup-simplify]: Simplify (* -1 -1) into 1 11.982 * [backup-simplify]: Simplify (exp 1) into E 11.982 * [taylor]: Taking taylor expansion of 1 in f 11.982 * [backup-simplify]: Simplify 1 into 1 11.982 * [backup-simplify]: Simplify (- 1) into -1 11.983 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.983 * [taylor]: Taking taylor expansion of (- E 1) in n 11.983 * [taylor]: Taking taylor expansion of E in n 11.983 * [backup-simplify]: Simplify E into E 11.983 * [taylor]: Taking taylor expansion of 1 in n 11.983 * [backup-simplify]: Simplify 1 into 1 11.984 * [backup-simplify]: Simplify (- 1) into -1 11.984 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 11.984 * [backup-simplify]: Simplify (- E 1) into (- E 1) 11.985 * [backup-simplify]: Simplify (- 0) into 0 11.986 * [backup-simplify]: Simplify (+ 1 0) into 1 11.986 * [backup-simplify]: Simplify (+ 0 1) into 1 11.986 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 11.987 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 11.987 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 11.987 * [backup-simplify]: Simplify (- 0) into 0 11.987 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 11.987 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 11.987 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 11.987 * [taylor]: Taking taylor expansion of 2 in n 11.987 * [backup-simplify]: Simplify 2 into 2 11.987 * [taylor]: Taking taylor expansion of (/ E n) in n 11.987 * [taylor]: Taking taylor expansion of E in n 11.987 * [backup-simplify]: Simplify E into E 11.987 * [taylor]: Taking taylor expansion of n in n 11.987 * [backup-simplify]: Simplify 0 into 0 11.987 * [backup-simplify]: Simplify 1 into 1 11.988 * [backup-simplify]: Simplify (/ E 1) into E 11.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 11.989 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 11.995 * [backup-simplify]: Simplify (- 0) into 0 11.995 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify (- 0) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.996 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify (- 0) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.997 * [backup-simplify]: Simplify (+ 0 0) into 0 11.997 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 11.997 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 11.998 * [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))) 11.998 * [backup-simplify]: Simplify (- 0) into 0 11.998 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 11.998 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 11.998 * [taylor]: Taking taylor expansion of 4 in n 11.998 * [backup-simplify]: Simplify 4 into 4 11.998 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 11.998 * [taylor]: Taking taylor expansion of E in n 11.998 * [backup-simplify]: Simplify E into E 11.998 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.998 * [taylor]: Taking taylor expansion of n in n 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify 1 into 1 11.998 * [backup-simplify]: Simplify (* 1 1) into 1 11.999 * [backup-simplify]: Simplify (/ E 1) into E 11.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 12.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.001 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 12.001 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 12.003 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify (+ 0 0) into 0 12.003 * [backup-simplify]: Simplify 0 into 0 12.004 * [backup-simplify]: Simplify (- 0) into 0 12.004 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (+ 0 0) into 0 12.005 * [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))) 12.005 * [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)))) 12.006 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* -22/3 (/ E (pow n 3))) 12.006 * [backup-simplify]: Simplify (- 0) into 0 12.006 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 12.006 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 12.006 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 12.006 * [taylor]: Taking taylor expansion of 22/3 in n 12.006 * [backup-simplify]: Simplify 22/3 into 22/3 12.006 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 12.006 * [taylor]: Taking taylor expansion of E in n 12.006 * [backup-simplify]: Simplify E into E 12.007 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.007 * [taylor]: Taking taylor expansion of n in n 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (* 1 1) into 1 12.007 * [backup-simplify]: Simplify (* 1 1) into 1 12.007 * [backup-simplify]: Simplify (/ E 1) into E 12.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 12.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.013 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 12.013 * [backup-simplify]: Simplify (- 0) into 0 12.013 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify (- E 1) into (- E 1) 12.013 * [backup-simplify]: Simplify (expm1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))) into (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 12.013 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 12.013 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 12.014 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.014 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 12.014 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 12.014 * [taylor]: Taking taylor expansion of -1 in n 12.014 * [backup-simplify]: Simplify -1 into -1 12.014 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 12.014 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.014 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.014 * [taylor]: Taking taylor expansion of f in n 12.014 * [backup-simplify]: Simplify f into f 12.014 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.014 * [taylor]: Taking taylor expansion of n in n 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (/ 1 1) into 1 12.014 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.014 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.014 * [taylor]: Taking taylor expansion of f in n 12.014 * [backup-simplify]: Simplify f into f 12.014 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.014 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.014 * [taylor]: Taking taylor expansion of n in n 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (/ 1 1) into 1 12.015 * [backup-simplify]: Simplify (- 1) into -1 12.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.015 * [backup-simplify]: Simplify (+ 0 1) into 1 12.016 * [backup-simplify]: Simplify (/ -1 1) into -1 12.016 * [backup-simplify]: Simplify (* -1 -1) into 1 12.016 * [backup-simplify]: Simplify (exp 1) into E 12.016 * [taylor]: Taking taylor expansion of 1 in n 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.016 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.016 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.016 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.016 * [taylor]: Taking taylor expansion of -1 in f 12.016 * [backup-simplify]: Simplify -1 into -1 12.016 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.016 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.016 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.016 * [taylor]: Taking taylor expansion of f in f 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (/ 1 1) into 1 12.016 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.016 * [taylor]: Taking taylor expansion of n in f 12.016 * [backup-simplify]: Simplify n into n 12.016 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.016 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.016 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.017 * [taylor]: Taking taylor expansion of f in f 12.017 * [backup-simplify]: Simplify 0 into 0 12.017 * [backup-simplify]: Simplify 1 into 1 12.017 * [backup-simplify]: Simplify (/ 1 1) into 1 12.017 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.017 * [taylor]: Taking taylor expansion of n in f 12.017 * [backup-simplify]: Simplify n into n 12.017 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.017 * [backup-simplify]: Simplify (+ 1 0) into 1 12.018 * [backup-simplify]: Simplify (+ 1 0) into 1 12.018 * [backup-simplify]: Simplify (/ 1 1) into 1 12.018 * [backup-simplify]: Simplify (* -1 1) into -1 12.019 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.019 * [taylor]: Taking taylor expansion of 1 in f 12.019 * [backup-simplify]: Simplify 1 into 1 12.019 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.019 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.019 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.019 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.019 * [taylor]: Taking taylor expansion of -1 in f 12.019 * [backup-simplify]: Simplify -1 into -1 12.019 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.019 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.019 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.019 * [taylor]: Taking taylor expansion of f in f 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 1 into 1 12.020 * [backup-simplify]: Simplify (/ 1 1) into 1 12.020 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.020 * [taylor]: Taking taylor expansion of n in f 12.020 * [backup-simplify]: Simplify n into n 12.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.020 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.020 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.020 * [taylor]: Taking taylor expansion of f in f 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 1 into 1 12.020 * [backup-simplify]: Simplify (/ 1 1) into 1 12.020 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.020 * [taylor]: Taking taylor expansion of n in f 12.020 * [backup-simplify]: Simplify n into n 12.020 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.021 * [backup-simplify]: Simplify (+ 1 0) into 1 12.021 * [backup-simplify]: Simplify (+ 1 0) into 1 12.021 * [backup-simplify]: Simplify (/ 1 1) into 1 12.022 * [backup-simplify]: Simplify (* -1 1) into -1 12.022 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.022 * [taylor]: Taking taylor expansion of 1 in f 12.022 * [backup-simplify]: Simplify 1 into 1 12.023 * [backup-simplify]: Simplify (- 1) into -1 12.023 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.024 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 12.024 * [taylor]: Taking taylor expansion of (exp -1) in n 12.024 * [taylor]: Taking taylor expansion of -1 in n 12.024 * [backup-simplify]: Simplify -1 into -1 12.024 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.024 * [taylor]: Taking taylor expansion of 1 in n 12.024 * [backup-simplify]: Simplify 1 into 1 12.024 * [backup-simplify]: Simplify (- 1) into -1 12.025 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.026 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 12.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.027 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.027 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.028 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.028 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 12.028 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 12.029 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 12.029 * [backup-simplify]: Simplify (- 0) into 0 12.030 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 12.030 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 12.030 * [taylor]: Taking taylor expansion of 2 in n 12.030 * [backup-simplify]: Simplify 2 into 2 12.030 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 12.030 * [taylor]: Taking taylor expansion of (exp -1) in n 12.030 * [taylor]: Taking taylor expansion of -1 in n 12.030 * [backup-simplify]: Simplify -1 into -1 12.031 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.031 * [taylor]: Taking taylor expansion of n in n 12.031 * [backup-simplify]: Simplify 0 into 0 12.031 * [backup-simplify]: Simplify 1 into 1 12.032 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.033 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 12.035 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.036 * [backup-simplify]: Simplify (- 0) into 0 12.036 * [backup-simplify]: Simplify (+ 0 0) into 0 12.036 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.038 * [backup-simplify]: Simplify (- 0) into 0 12.038 * [backup-simplify]: Simplify (+ 0 0) into 0 12.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.040 * [backup-simplify]: Simplify (+ 0 0) into 0 12.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 12.042 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.043 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.043 * [backup-simplify]: Simplify (- 0) into 0 12.043 * [backup-simplify]: Simplify (+ 0 0) into 0 12.043 * [taylor]: Taking taylor expansion of 0 in n 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.045 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 12.046 * [backup-simplify]: Simplify 0 into 0 12.047 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.048 * [backup-simplify]: Simplify (- 0) into 0 12.048 * [backup-simplify]: Simplify (+ 0 0) into 0 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.049 * [backup-simplify]: Simplify (- 0) into 0 12.049 * [backup-simplify]: Simplify (+ 0 0) into 0 12.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.050 * [backup-simplify]: Simplify (+ 0 0) into 0 12.051 * [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)))) 12.051 * [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))) 12.052 * [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))) 12.053 * [backup-simplify]: Simplify (- 0) into 0 12.053 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.053 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 12.053 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 12.053 * [taylor]: Taking taylor expansion of 2/3 in n 12.053 * [backup-simplify]: Simplify 2/3 into 2/3 12.053 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 12.053 * [taylor]: Taking taylor expansion of (exp -1) in n 12.053 * [taylor]: Taking taylor expansion of -1 in n 12.053 * [backup-simplify]: Simplify -1 into -1 12.053 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.053 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.053 * [taylor]: Taking taylor expansion of n in n 12.053 * [backup-simplify]: Simplify 0 into 0 12.053 * [backup-simplify]: Simplify 1 into 1 12.054 * [backup-simplify]: Simplify (* 1 1) into 1 12.054 * [backup-simplify]: Simplify (* 1 1) into 1 12.054 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.056 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 1))) into 0 12.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.058 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.061 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.063 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 12.063 * [backup-simplify]: Simplify (- 0) into 0 12.063 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 12.064 * [backup-simplify]: Simplify (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 12.064 * [approximate]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 12.064 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 12.064 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.064 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 12.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 12.064 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.064 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.064 * [taylor]: Taking taylor expansion of n in n 12.064 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (/ 1 1) into 1 12.065 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.065 * [taylor]: Taking taylor expansion of f in n 12.065 * [backup-simplify]: Simplify f into f 12.065 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.065 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.065 * [taylor]: Taking taylor expansion of f in n 12.065 * [backup-simplify]: Simplify f into f 12.065 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.065 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.065 * [taylor]: Taking taylor expansion of n in n 12.065 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify 1 into 1 12.065 * [backup-simplify]: Simplify (/ 1 1) into 1 12.065 * [backup-simplify]: Simplify (+ 1 0) into 1 12.066 * [backup-simplify]: Simplify (+ 0 1) into 1 12.066 * [backup-simplify]: Simplify (/ 1 1) into 1 12.066 * [backup-simplify]: Simplify (exp 1) into E 12.066 * [taylor]: Taking taylor expansion of 1 in n 12.066 * [backup-simplify]: Simplify 1 into 1 12.066 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.066 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.066 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.066 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.066 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.066 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.066 * [taylor]: Taking taylor expansion of n in f 12.066 * [backup-simplify]: Simplify n into n 12.066 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.066 * [taylor]: Taking taylor expansion of f in f 12.066 * [backup-simplify]: Simplify 0 into 0 12.066 * [backup-simplify]: Simplify 1 into 1 12.066 * [backup-simplify]: Simplify (/ 1 1) into 1 12.066 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.066 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.066 * [taylor]: Taking taylor expansion of f in f 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify 1 into 1 12.067 * [backup-simplify]: Simplify (/ 1 1) into 1 12.067 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.067 * [taylor]: Taking taylor expansion of n in f 12.067 * [backup-simplify]: Simplify n into n 12.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.067 * [backup-simplify]: Simplify (- 1) into -1 12.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.068 * [backup-simplify]: Simplify (+ 1 0) into 1 12.068 * [backup-simplify]: Simplify (/ -1 1) into -1 12.068 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.068 * [taylor]: Taking taylor expansion of 1 in f 12.068 * [backup-simplify]: Simplify 1 into 1 12.068 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.068 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.068 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.068 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.068 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.068 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.068 * [taylor]: Taking taylor expansion of n in f 12.068 * [backup-simplify]: Simplify n into n 12.068 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.068 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.068 * [taylor]: Taking taylor expansion of f in f 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (/ 1 1) into 1 12.069 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 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 12.069 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify (- 1) into -1 12.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.070 * [backup-simplify]: Simplify (+ 1 0) into 1 12.070 * [backup-simplify]: Simplify (/ -1 1) into -1 12.070 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.070 * [taylor]: Taking taylor expansion of 1 in f 12.070 * [backup-simplify]: Simplify 1 into 1 12.071 * [backup-simplify]: Simplify (- 1) into -1 12.071 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.071 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 12.071 * [taylor]: Taking taylor expansion of (exp -1) in n 12.071 * [taylor]: Taking taylor expansion of -1 in n 12.071 * [backup-simplify]: Simplify -1 into -1 12.072 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.072 * [taylor]: Taking taylor expansion of 1 in n 12.072 * [backup-simplify]: Simplify 1 into 1 12.072 * [backup-simplify]: Simplify (- 1) into -1 12.072 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.073 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 12.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (- 0) into 0 12.074 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.074 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 12.075 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 12.075 * [backup-simplify]: Simplify (- 0) into 0 12.075 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 12.075 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 12.075 * [taylor]: Taking taylor expansion of 2 in n 12.075 * [backup-simplify]: Simplify 2 into 2 12.075 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 12.075 * [taylor]: Taking taylor expansion of (exp -1) in n 12.075 * [taylor]: Taking taylor expansion of -1 in n 12.075 * [backup-simplify]: Simplify -1 into -1 12.076 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.076 * [taylor]: Taking taylor expansion of n in n 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 1 into 1 12.076 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.077 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.078 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 12.078 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.080 * [backup-simplify]: Simplify (- 0) into 0 12.080 * [backup-simplify]: Simplify (+ 0 0) into 0 12.080 * [backup-simplify]: Simplify 0 into 0 12.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.082 * [backup-simplify]: Simplify (- 0) into 0 12.082 * [backup-simplify]: Simplify (+ 0 0) into 0 12.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.083 * [backup-simplify]: Simplify (+ 0 0) into 0 12.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.086 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.086 * [backup-simplify]: Simplify (- 0) into 0 12.086 * [backup-simplify]: Simplify (+ 0 0) into 0 12.086 * [taylor]: Taking taylor expansion of 0 in n 12.087 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 12.091 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.093 * [backup-simplify]: Simplify (- 0) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.093 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.095 * [backup-simplify]: Simplify (- 0) into 0 12.095 * [backup-simplify]: Simplify (+ 0 0) into 0 12.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.097 * [backup-simplify]: Simplify (+ 0 0) into 0 12.099 * [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))) 12.100 * [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))) 12.101 * [backup-simplify]: Simplify (- 0) into 0 12.101 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.101 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 12.102 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 12.102 * [taylor]: Taking taylor expansion of 2/3 in n 12.102 * [backup-simplify]: Simplify 2/3 into 2/3 12.102 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 12.102 * [taylor]: Taking taylor expansion of (exp -1) in n 12.102 * [taylor]: Taking taylor expansion of -1 in n 12.102 * [backup-simplify]: Simplify -1 into -1 12.102 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.102 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.102 * [taylor]: Taking taylor expansion of n in n 12.102 * [backup-simplify]: Simplify 0 into 0 12.102 * [backup-simplify]: Simplify 1 into 1 12.103 * [backup-simplify]: Simplify (* 1 1) into 1 12.103 * [backup-simplify]: Simplify (* 1 1) into 1 12.110 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 12.112 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.115 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 12.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 12.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.118 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.120 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 12.120 * [backup-simplify]: Simplify (- 0) into 0 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 12.120 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 12.121 * [backup-simplify]: Simplify (/ (- f n) (- (+ f n))) into (* -1 (/ (- f n) (+ n f))) 12.121 * [approximate]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in (f n) around 0 12.121 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 12.121 * [taylor]: Taking taylor expansion of -1 in n 12.121 * [backup-simplify]: Simplify -1 into -1 12.121 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 12.121 * [taylor]: Taking taylor expansion of (- f n) in n 12.121 * [taylor]: Taking taylor expansion of f in n 12.121 * [backup-simplify]: Simplify f into f 12.121 * [taylor]: Taking taylor expansion of n in n 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [taylor]: Taking taylor expansion of (+ n f) in n 12.121 * [taylor]: Taking taylor expansion of n in n 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [taylor]: Taking taylor expansion of f in n 12.121 * [backup-simplify]: Simplify f into f 12.121 * [backup-simplify]: Simplify (- 0) into 0 12.121 * [backup-simplify]: Simplify (+ f 0) into f 12.121 * [backup-simplify]: Simplify (+ 0 f) into f 12.121 * [backup-simplify]: Simplify (/ f f) into 1 12.121 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 12.121 * [taylor]: Taking taylor expansion of -1 in f 12.121 * [backup-simplify]: Simplify -1 into -1 12.121 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 12.121 * [taylor]: Taking taylor expansion of (- f n) in f 12.121 * [taylor]: Taking taylor expansion of f in f 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [taylor]: Taking taylor expansion of n in f 12.121 * [backup-simplify]: Simplify n into n 12.121 * [taylor]: Taking taylor expansion of (+ n f) in f 12.121 * [taylor]: Taking taylor expansion of n in f 12.121 * [backup-simplify]: Simplify n into n 12.121 * [taylor]: Taking taylor expansion of f in f 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.121 * [backup-simplify]: Simplify (- n) into (- n) 12.122 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.122 * [backup-simplify]: Simplify (+ n 0) into n 12.122 * [backup-simplify]: Simplify (/ (- n) n) into -1 12.122 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 12.122 * [taylor]: Taking taylor expansion of -1 in f 12.122 * [backup-simplify]: Simplify -1 into -1 12.122 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 12.122 * [taylor]: Taking taylor expansion of (- f n) in f 12.122 * [taylor]: Taking taylor expansion of f in f 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [taylor]: Taking taylor expansion of n in f 12.122 * [backup-simplify]: Simplify n into n 12.122 * [taylor]: Taking taylor expansion of (+ n f) in f 12.122 * [taylor]: Taking taylor expansion of n in f 12.122 * [backup-simplify]: Simplify n into n 12.122 * [taylor]: Taking taylor expansion of f in f 12.122 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify (- n) into (- n) 12.122 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.122 * [backup-simplify]: Simplify (+ n 0) into n 12.122 * [backup-simplify]: Simplify (/ (- n) n) into -1 12.122 * [backup-simplify]: Simplify (* -1 -1) into 1 12.122 * [taylor]: Taking taylor expansion of 1 in n 12.122 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify 1 into 1 12.123 * [backup-simplify]: Simplify (- 0) into 0 12.123 * [backup-simplify]: Simplify (+ 1 0) into 1 12.123 * [backup-simplify]: Simplify (+ 0 1) into 1 12.123 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 12.124 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 12.124 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.124 * [taylor]: Taking taylor expansion of 2 in n 12.124 * [backup-simplify]: Simplify 2 into 2 12.124 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.124 * [taylor]: Taking taylor expansion of n in n 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 1 into 1 12.124 * [backup-simplify]: Simplify (/ 1 1) into 1 12.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.125 * [backup-simplify]: Simplify (- 0) into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify (- 0) into 0 12.125 * [backup-simplify]: Simplify (+ 0 0) into 0 12.126 * [backup-simplify]: Simplify (+ 0 0) into 0 12.126 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 12.126 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.126 * [taylor]: Taking taylor expansion of 2 in n 12.126 * [backup-simplify]: Simplify 2 into 2 12.126 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.126 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.126 * [taylor]: Taking taylor expansion of n in n 12.126 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify 1 into 1 12.127 * [backup-simplify]: Simplify (* 1 1) into 1 12.127 * [backup-simplify]: Simplify (/ 1 1) into 1 12.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.131 * [backup-simplify]: Simplify (- 0) into 0 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify (- 0) into 0 12.131 * [backup-simplify]: Simplify (+ 0 0) into 0 12.131 * [backup-simplify]: Simplify (+ 0 0) into 0 12.132 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 0 n)) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 n)))) into (* 2 (/ 1 (pow n 3))) 12.133 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.133 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.133 * [taylor]: Taking taylor expansion of 2 in n 12.133 * [backup-simplify]: Simplify 2 into 2 12.133 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.133 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.133 * [taylor]: Taking taylor expansion of n in n 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [backup-simplify]: Simplify (* 1 1) into 1 12.133 * [backup-simplify]: Simplify (* 1 1) into 1 12.134 * [backup-simplify]: Simplify (/ 1 1) into 1 12.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.139 * [backup-simplify]: Simplify (- 0) into 0 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 1 into 1 12.139 * [backup-simplify]: Simplify (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))) into (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) 12.139 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in (f n) around 0 12.139 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 12.139 * [taylor]: Taking taylor expansion of -1 in n 12.139 * [backup-simplify]: Simplify -1 into -1 12.139 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 12.139 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.139 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.139 * [taylor]: Taking taylor expansion of f in n 12.139 * [backup-simplify]: Simplify f into f 12.139 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.139 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.139 * [taylor]: Taking taylor expansion of n in n 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (/ 1 1) into 1 12.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.140 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.140 * [taylor]: Taking taylor expansion of f in n 12.140 * [backup-simplify]: Simplify f into f 12.140 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.140 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.140 * [taylor]: Taking taylor expansion of n in n 12.140 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify 1 into 1 12.140 * [backup-simplify]: Simplify (/ 1 1) into 1 12.140 * [backup-simplify]: Simplify (- 1) into -1 12.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.141 * [backup-simplify]: Simplify (+ 0 1) into 1 12.141 * [backup-simplify]: Simplify (/ -1 1) into -1 12.141 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.141 * [taylor]: Taking taylor expansion of -1 in f 12.141 * [backup-simplify]: Simplify -1 into -1 12.141 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.141 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.141 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.141 * [taylor]: Taking taylor expansion of f in f 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 1 into 1 12.141 * [backup-simplify]: Simplify (/ 1 1) into 1 12.141 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.142 * [taylor]: Taking taylor expansion of n in f 12.142 * [backup-simplify]: Simplify n into n 12.142 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.142 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.142 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.142 * [taylor]: Taking taylor expansion of f in f 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 1 into 1 12.142 * [backup-simplify]: Simplify (/ 1 1) into 1 12.142 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.142 * [taylor]: Taking taylor expansion of n in f 12.142 * [backup-simplify]: Simplify n into n 12.142 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.143 * [backup-simplify]: Simplify (+ 1 0) into 1 12.143 * [backup-simplify]: Simplify (+ 1 0) into 1 12.144 * [backup-simplify]: Simplify (/ 1 1) into 1 12.144 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.144 * [taylor]: Taking taylor expansion of -1 in f 12.144 * [backup-simplify]: Simplify -1 into -1 12.144 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.144 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.144 * [taylor]: Taking taylor expansion of f in f 12.144 * [backup-simplify]: Simplify 0 into 0 12.144 * [backup-simplify]: Simplify 1 into 1 12.144 * [backup-simplify]: Simplify (/ 1 1) into 1 12.144 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.144 * [taylor]: Taking taylor expansion of n in f 12.144 * [backup-simplify]: Simplify n into n 12.144 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.144 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.144 * [taylor]: Taking taylor expansion of f in f 12.145 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify 1 into 1 12.145 * [backup-simplify]: Simplify (/ 1 1) into 1 12.145 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.145 * [taylor]: Taking taylor expansion of n in f 12.145 * [backup-simplify]: Simplify n into n 12.145 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.146 * [backup-simplify]: Simplify (+ 1 0) into 1 12.146 * [backup-simplify]: Simplify (+ 1 0) into 1 12.146 * [backup-simplify]: Simplify (/ 1 1) into 1 12.147 * [backup-simplify]: Simplify (* -1 1) into -1 12.147 * [taylor]: Taking taylor expansion of -1 in n 12.147 * [backup-simplify]: Simplify -1 into -1 12.147 * [backup-simplify]: Simplify -1 into -1 12.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.148 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.148 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.149 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.149 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 12.150 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 12.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.150 * [taylor]: Taking taylor expansion of 2 in n 12.150 * [backup-simplify]: Simplify 2 into 2 12.150 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.150 * [taylor]: Taking taylor expansion of n in n 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify 1 into 1 12.150 * [backup-simplify]: Simplify (/ 1 1) into 1 12.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.151 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.152 * [backup-simplify]: Simplify (- 0) into 0 12.152 * [backup-simplify]: Simplify (+ 0 0) into 0 12.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.153 * [backup-simplify]: Simplify (+ 0 0) into 0 12.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 12.154 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.154 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.154 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.154 * [taylor]: Taking taylor expansion of 2 in n 12.154 * [backup-simplify]: Simplify 2 into 2 12.154 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.154 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.154 * [taylor]: Taking taylor expansion of n in n 12.154 * [backup-simplify]: Simplify 0 into 0 12.154 * [backup-simplify]: Simplify 1 into 1 12.154 * [backup-simplify]: Simplify (* 1 1) into 1 12.155 * [backup-simplify]: Simplify (/ 1 1) into 1 12.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.157 * [backup-simplify]: Simplify (- 0) into 0 12.157 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.158 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.159 * [backup-simplify]: Simplify (- 0) into 0 12.160 * [backup-simplify]: Simplify (+ 0 0) into 0 12.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.160 * [backup-simplify]: Simplify (+ 0 0) into 0 12.161 * [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)))) 12.162 * [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))) 12.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.162 * [taylor]: Taking taylor expansion of 2 in n 12.162 * [backup-simplify]: Simplify 2 into 2 12.162 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.162 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.162 * [taylor]: Taking taylor expansion of n in n 12.162 * [backup-simplify]: Simplify 0 into 0 12.162 * [backup-simplify]: Simplify 1 into 1 12.162 * [backup-simplify]: Simplify (* 1 1) into 1 12.163 * [backup-simplify]: Simplify (* 1 1) into 1 12.163 * [backup-simplify]: Simplify (/ 1 1) into 1 12.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify -1 into -1 12.168 * [backup-simplify]: Simplify (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) 12.168 * [approximate]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in (f n) around 0 12.168 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 12.168 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.168 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.168 * [taylor]: Taking taylor expansion of n in n 12.168 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify 1 into 1 12.169 * [backup-simplify]: Simplify (/ 1 1) into 1 12.169 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.169 * [taylor]: Taking taylor expansion of f in n 12.169 * [backup-simplify]: Simplify f into f 12.169 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.169 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.169 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.169 * [taylor]: Taking taylor expansion of f in n 12.169 * [backup-simplify]: Simplify f into f 12.169 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.169 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.169 * [taylor]: Taking taylor expansion of n in n 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 1 into 1 12.169 * [backup-simplify]: Simplify (/ 1 1) into 1 12.169 * [backup-simplify]: Simplify (+ 1 0) into 1 12.170 * [backup-simplify]: Simplify (+ 0 1) into 1 12.170 * [backup-simplify]: Simplify (/ 1 1) into 1 12.170 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.170 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.170 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.170 * [taylor]: Taking taylor expansion of n in f 12.170 * [backup-simplify]: Simplify n into n 12.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.170 * [taylor]: Taking taylor expansion of f in f 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify 1 into 1 12.170 * [backup-simplify]: Simplify (/ 1 1) into 1 12.170 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.170 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.170 * [taylor]: Taking taylor expansion of f in f 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify 1 into 1 12.171 * [backup-simplify]: Simplify (/ 1 1) into 1 12.171 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.171 * [taylor]: Taking taylor expansion of n in f 12.171 * [backup-simplify]: Simplify n into n 12.171 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.171 * [backup-simplify]: Simplify (- 1) into -1 12.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.172 * [backup-simplify]: Simplify (+ 1 0) into 1 12.172 * [backup-simplify]: Simplify (/ -1 1) into -1 12.172 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.172 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.172 * [taylor]: Taking taylor expansion of n in f 12.172 * [backup-simplify]: Simplify n into n 12.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.172 * [taylor]: Taking taylor expansion of f in f 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [backup-simplify]: Simplify (/ 1 1) into 1 12.172 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.172 * [taylor]: Taking taylor expansion of f in f 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.173 * [backup-simplify]: Simplify (/ 1 1) into 1 12.173 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.173 * [taylor]: Taking taylor expansion of n in f 12.173 * [backup-simplify]: Simplify n into n 12.173 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.173 * [backup-simplify]: Simplify (- 1) into -1 12.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.174 * [backup-simplify]: Simplify (+ 1 0) into 1 12.174 * [backup-simplify]: Simplify (/ -1 1) into -1 12.174 * [taylor]: Taking taylor expansion of -1 in n 12.174 * [backup-simplify]: Simplify -1 into -1 12.174 * [backup-simplify]: Simplify -1 into -1 12.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.175 * [backup-simplify]: Simplify (- 0) into 0 12.175 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.175 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.175 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 12.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.175 * [taylor]: Taking taylor expansion of 2 in n 12.175 * [backup-simplify]: Simplify 2 into 2 12.175 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.175 * [taylor]: Taking taylor expansion of n in n 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (/ 1 1) into 1 12.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.176 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.177 * [backup-simplify]: Simplify (- 0) into 0 12.178 * [backup-simplify]: Simplify (+ 0 0) into 0 12.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.178 * [backup-simplify]: Simplify (+ 0 0) into 0 12.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.179 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.179 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.179 * [taylor]: Taking taylor expansion of 2 in n 12.179 * [backup-simplify]: Simplify 2 into 2 12.179 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.179 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.179 * [taylor]: Taking taylor expansion of n in n 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (* 1 1) into 1 12.180 * [backup-simplify]: Simplify (/ 1 1) into 1 12.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.182 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.182 * [backup-simplify]: Simplify (- 0) into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.183 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.183 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.184 * [backup-simplify]: Simplify (- 0) into 0 12.185 * [backup-simplify]: Simplify (+ 0 0) into 0 12.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.186 * [backup-simplify]: Simplify (+ 0 0) into 0 12.188 * [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))) 12.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.188 * [taylor]: Taking taylor expansion of 2 in n 12.188 * [backup-simplify]: Simplify 2 into 2 12.188 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.188 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.188 * [taylor]: Taking taylor expansion of n in n 12.188 * [backup-simplify]: Simplify 0 into 0 12.188 * [backup-simplify]: Simplify 1 into 1 12.188 * [backup-simplify]: Simplify (* 1 1) into 1 12.189 * [backup-simplify]: Simplify (* 1 1) into 1 12.189 * [backup-simplify]: Simplify (/ 1 1) into 1 12.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.198 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify -1 into -1 12.198 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.198 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) into (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.198 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in (f n) around 0 12.198 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in n 12.198 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in n 12.198 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.198 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in n 12.199 * [taylor]: Taking taylor expansion of 1 in n 12.199 * [backup-simplify]: Simplify 1 into 1 12.199 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in n 12.199 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 12.199 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in n 12.199 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 12.199 * [taylor]: Taking taylor expansion of -1 in n 12.199 * [backup-simplify]: Simplify -1 into -1 12.199 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 12.199 * [taylor]: Taking taylor expansion of (- f n) in n 12.199 * [taylor]: Taking taylor expansion of f in n 12.199 * [backup-simplify]: Simplify f into f 12.199 * [taylor]: Taking taylor expansion of n in n 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 1 into 1 12.199 * [taylor]: Taking taylor expansion of (+ n f) in n 12.199 * [taylor]: Taking taylor expansion of n in n 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 1 into 1 12.199 * [taylor]: Taking taylor expansion of f in n 12.199 * [backup-simplify]: Simplify f into f 12.200 * [backup-simplify]: Simplify (- 0) into 0 12.200 * [backup-simplify]: Simplify (+ f 0) into f 12.200 * [backup-simplify]: Simplify (+ 0 f) into f 12.200 * [backup-simplify]: Simplify (/ f f) into 1 12.200 * [backup-simplify]: Simplify (* -1 1) into -1 12.201 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.201 * [taylor]: Taking taylor expansion of 1 in n 12.201 * [backup-simplify]: Simplify 1 into 1 12.201 * [backup-simplify]: Simplify (- 1) into -1 12.202 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.204 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.205 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.205 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.205 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in f 12.205 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.205 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.205 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.205 * [taylor]: Taking taylor expansion of 1 in f 12.206 * [backup-simplify]: Simplify 1 into 1 12.206 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 12.206 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 12.206 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 12.206 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 12.206 * [taylor]: Taking taylor expansion of -1 in f 12.206 * [backup-simplify]: Simplify -1 into -1 12.206 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 12.206 * [taylor]: Taking taylor expansion of (- f n) in f 12.206 * [taylor]: Taking taylor expansion of f in f 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 1 into 1 12.206 * [taylor]: Taking taylor expansion of n in f 12.206 * [backup-simplify]: Simplify n into n 12.206 * [taylor]: Taking taylor expansion of (+ n f) in f 12.206 * [taylor]: Taking taylor expansion of n in f 12.206 * [backup-simplify]: Simplify n into n 12.206 * [taylor]: Taking taylor expansion of f in f 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 1 into 1 12.206 * [backup-simplify]: Simplify (- n) into (- n) 12.206 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.206 * [backup-simplify]: Simplify (+ n 0) into n 12.206 * [backup-simplify]: Simplify (/ (- n) n) into -1 12.207 * [backup-simplify]: Simplify (* -1 -1) into 1 12.207 * [backup-simplify]: Simplify (exp 1) into E 12.207 * [taylor]: Taking taylor expansion of 1 in f 12.207 * [backup-simplify]: Simplify 1 into 1 12.207 * [backup-simplify]: Simplify (- 1) into -1 12.208 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.209 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.209 * [backup-simplify]: Simplify (log E) into 1 12.209 * [backup-simplify]: Simplify (/ 1 1) into 1 12.209 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- f n) (+ n f)))))) in f 12.209 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.210 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.210 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.210 * [taylor]: Taking taylor expansion of 1 in f 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 12.210 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 12.210 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 12.210 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 12.210 * [taylor]: Taking taylor expansion of -1 in f 12.210 * [backup-simplify]: Simplify -1 into -1 12.210 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 12.210 * [taylor]: Taking taylor expansion of (- f n) in f 12.210 * [taylor]: Taking taylor expansion of f in f 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [taylor]: Taking taylor expansion of n in f 12.210 * [backup-simplify]: Simplify n into n 12.210 * [taylor]: Taking taylor expansion of (+ n f) in f 12.210 * [taylor]: Taking taylor expansion of n in f 12.210 * [backup-simplify]: Simplify n into n 12.210 * [taylor]: Taking taylor expansion of f in f 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (- n) into (- n) 12.210 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.210 * [backup-simplify]: Simplify (+ n 0) into n 12.211 * [backup-simplify]: Simplify (/ (- n) n) into -1 12.211 * [backup-simplify]: Simplify (* -1 -1) into 1 12.211 * [backup-simplify]: Simplify (exp 1) into E 12.211 * [taylor]: Taking taylor expansion of 1 in f 12.211 * [backup-simplify]: Simplify 1 into 1 12.211 * [backup-simplify]: Simplify (- 1) into -1 12.212 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.218 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.218 * [backup-simplify]: Simplify (log E) into 1 12.219 * [backup-simplify]: Simplify (/ 1 1) into 1 12.219 * [taylor]: Taking taylor expansion of 1 in n 12.219 * [backup-simplify]: Simplify 1 into 1 12.219 * [backup-simplify]: Simplify 1 into 1 12.220 * [backup-simplify]: Simplify (- 0) into 0 12.220 * [backup-simplify]: Simplify (+ 1 0) into 1 12.221 * [backup-simplify]: Simplify (+ 0 1) into 1 12.221 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 12.221 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 12.222 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 12.222 * [backup-simplify]: Simplify (- 0) into 0 12.222 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 12.222 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 12.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 12.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 n) 1)))) into (* 2 (/ 1 n)) 12.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.224 * [taylor]: Taking taylor expansion of 2 in n 12.224 * [backup-simplify]: Simplify 2 into 2 12.224 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.224 * [taylor]: Taking taylor expansion of n in n 12.224 * [backup-simplify]: Simplify 0 into 0 12.224 * [backup-simplify]: Simplify 1 into 1 12.224 * [backup-simplify]: Simplify (/ 1 1) into 1 12.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.225 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.225 * [backup-simplify]: Simplify 0 into 0 12.226 * [backup-simplify]: Simplify 0 into 0 12.226 * [backup-simplify]: Simplify (- 0) into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [backup-simplify]: Simplify (+ 0 0) into 0 12.227 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 12.228 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.228 * [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))) 12.228 * [backup-simplify]: Simplify (- 0) into 0 12.228 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 12.229 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 12.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 12.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 n)) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 2))) 12.230 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.230 * [taylor]: Taking taylor expansion of 2 in n 12.230 * [backup-simplify]: Simplify 2 into 2 12.230 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.230 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.230 * [taylor]: Taking taylor expansion of n in n 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 1 into 1 12.230 * [backup-simplify]: Simplify (* 1 1) into 1 12.231 * [backup-simplify]: Simplify (/ 1 1) into 1 12.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify (- 0) into 0 12.235 * [backup-simplify]: Simplify (+ 0 0) into 0 12.235 * [backup-simplify]: Simplify (+ 0 0) into 0 12.235 * [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))) 12.236 * [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)))) 12.236 * [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))) 12.237 * [backup-simplify]: Simplify (- 0) into 0 12.237 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 12.237 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 12.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 (pow n 3)) 1)) (* (* 2 (/ 1 n)) (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 3))) 12.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.240 * [taylor]: Taking taylor expansion of 2 in n 12.240 * [backup-simplify]: Simplify 2 into 2 12.240 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.240 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.240 * [taylor]: Taking taylor expansion of n in n 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (* 1 1) into 1 12.240 * [backup-simplify]: Simplify (* 1 1) into 1 12.241 * [backup-simplify]: Simplify (/ 1 1) into 1 12.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n))))))) into (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.246 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in (f n) around 0 12.246 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in n 12.246 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 12.247 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.247 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 12.247 * [taylor]: Taking taylor expansion of 1 in n 12.247 * [backup-simplify]: Simplify 1 into 1 12.247 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 12.247 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.247 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 12.247 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 12.247 * [taylor]: Taking taylor expansion of -1 in n 12.247 * [backup-simplify]: Simplify -1 into -1 12.247 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 12.247 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.247 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.247 * [taylor]: Taking taylor expansion of f in n 12.247 * [backup-simplify]: Simplify f into f 12.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.247 * [taylor]: Taking taylor expansion of n in n 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 1 into 1 12.247 * [backup-simplify]: Simplify (/ 1 1) into 1 12.247 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.247 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.247 * [taylor]: Taking taylor expansion of f in n 12.247 * [backup-simplify]: Simplify f into f 12.247 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.247 * [taylor]: Taking taylor expansion of n in n 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 1 into 1 12.248 * [backup-simplify]: Simplify (/ 1 1) into 1 12.248 * [backup-simplify]: Simplify (- 1) into -1 12.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.249 * [backup-simplify]: Simplify (+ 0 1) into 1 12.249 * [backup-simplify]: Simplify (/ -1 1) into -1 12.249 * [backup-simplify]: Simplify (* -1 -1) into 1 12.249 * [backup-simplify]: Simplify (exp 1) into E 12.249 * [taylor]: Taking taylor expansion of 1 in n 12.249 * [backup-simplify]: Simplify 1 into 1 12.250 * [backup-simplify]: Simplify (- 1) into -1 12.250 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.251 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.251 * [backup-simplify]: Simplify (log E) into 1 12.251 * [backup-simplify]: Simplify (/ 1 1) into 1 12.251 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in f 12.251 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.251 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.251 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.251 * [taylor]: Taking taylor expansion of 1 in f 12.251 * [backup-simplify]: Simplify 1 into 1 12.251 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.251 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.251 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.251 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.251 * [taylor]: Taking taylor expansion of -1 in f 12.251 * [backup-simplify]: Simplify -1 into -1 12.251 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.251 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.251 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.251 * [taylor]: Taking taylor expansion of f in f 12.251 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify 1 into 1 12.252 * [backup-simplify]: Simplify (/ 1 1) into 1 12.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.252 * [taylor]: Taking taylor expansion of n in f 12.252 * [backup-simplify]: Simplify n into n 12.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.252 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.252 * [taylor]: Taking taylor expansion of f in f 12.252 * [backup-simplify]: Simplify 0 into 0 12.252 * [backup-simplify]: Simplify 1 into 1 12.252 * [backup-simplify]: Simplify (/ 1 1) into 1 12.252 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.252 * [taylor]: Taking taylor expansion of n in f 12.252 * [backup-simplify]: Simplify n into n 12.252 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.252 * [backup-simplify]: Simplify (+ 1 0) into 1 12.253 * [backup-simplify]: Simplify (+ 1 0) into 1 12.253 * [backup-simplify]: Simplify (/ 1 1) into 1 12.253 * [backup-simplify]: Simplify (* -1 1) into -1 12.253 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.253 * [taylor]: Taking taylor expansion of 1 in f 12.253 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (- 1) into -1 12.254 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.255 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.256 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.256 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.256 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) in f 12.256 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.256 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.256 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.256 * [taylor]: Taking taylor expansion of 1 in f 12.256 * [backup-simplify]: Simplify 1 into 1 12.256 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.256 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.256 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.256 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.256 * [taylor]: Taking taylor expansion of -1 in f 12.256 * [backup-simplify]: Simplify -1 into -1 12.256 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.256 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.256 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.256 * [taylor]: Taking taylor expansion of f in f 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 1 into 1 12.257 * [backup-simplify]: Simplify (/ 1 1) into 1 12.257 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.257 * [taylor]: Taking taylor expansion of n in f 12.257 * [backup-simplify]: Simplify n into n 12.257 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.257 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.257 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.257 * [taylor]: Taking taylor expansion of f in f 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.257 * [backup-simplify]: Simplify (/ 1 1) into 1 12.257 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.257 * [taylor]: Taking taylor expansion of n in f 12.257 * [backup-simplify]: Simplify n into n 12.257 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.257 * [backup-simplify]: Simplify (+ 1 0) into 1 12.258 * [backup-simplify]: Simplify (+ 1 0) into 1 12.258 * [backup-simplify]: Simplify (/ 1 1) into 1 12.258 * [backup-simplify]: Simplify (* -1 1) into -1 12.258 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.258 * [taylor]: Taking taylor expansion of 1 in f 12.258 * [backup-simplify]: Simplify 1 into 1 12.259 * [backup-simplify]: Simplify (- 1) into -1 12.259 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.260 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.261 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.261 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.261 * [taylor]: Taking taylor expansion of -1 in n 12.261 * [backup-simplify]: Simplify -1 into -1 12.261 * [backup-simplify]: Simplify -1 into -1 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.262 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.262 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 12.263 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 12.263 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 12.263 * [backup-simplify]: Simplify (- 0) into 0 12.264 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 12.264 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 12.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 12.265 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 12.265 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.265 * [taylor]: Taking taylor expansion of 2 in n 12.265 * [backup-simplify]: Simplify 2 into 2 12.266 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.266 * [taylor]: Taking taylor expansion of n in n 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify 1 into 1 12.266 * [backup-simplify]: Simplify (/ 1 1) into 1 12.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.267 * [backup-simplify]: Simplify (- 0) into 0 12.267 * [backup-simplify]: Simplify 0 into 0 12.267 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.268 * [backup-simplify]: Simplify (- 0) into 0 12.268 * [backup-simplify]: Simplify (+ 0 0) into 0 12.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.269 * [backup-simplify]: Simplify (+ 0 0) into 0 12.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 12.270 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.271 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.272 * [backup-simplify]: Simplify (+ 0 0) into 0 12.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 12.274 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.274 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.274 * [taylor]: Taking taylor expansion of 2 in n 12.274 * [backup-simplify]: Simplify 2 into 2 12.274 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.274 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.274 * [taylor]: Taking taylor expansion of n in n 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (* 1 1) into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.277 * [backup-simplify]: Simplify (- 0) into 0 12.277 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.279 * [backup-simplify]: Simplify (- 0) into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.280 * [backup-simplify]: Simplify (- 0) into 0 12.280 * [backup-simplify]: Simplify (+ 0 0) into 0 12.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.281 * [backup-simplify]: Simplify (+ 0 0) into 0 12.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.282 * [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))) 12.283 * [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))) 12.283 * [backup-simplify]: Simplify (- 0) into 0 12.284 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.284 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.288 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 12.288 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.288 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.288 * [taylor]: Taking taylor expansion of 2 in n 12.288 * [backup-simplify]: Simplify 2 into 2 12.288 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.288 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.288 * [taylor]: Taking taylor expansion of n in n 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (* 1 1) into 1 12.289 * [backup-simplify]: Simplify (* 1 1) into 1 12.289 * [backup-simplify]: Simplify (/ 1 1) into 1 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.294 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.294 * [backup-simplify]: Simplify (- 0) into 0 12.294 * [backup-simplify]: Simplify 0 into 0 12.294 * [backup-simplify]: Simplify -1 into -1 12.295 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n)))))))) into (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.295 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 12.295 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in n 12.295 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 12.295 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.295 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 12.295 * [taylor]: Taking taylor expansion of 1 in n 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 12.295 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.295 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 12.295 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 12.295 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.295 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.295 * [taylor]: Taking taylor expansion of n in n 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [backup-simplify]: Simplify (/ 1 1) into 1 12.295 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.295 * [taylor]: Taking taylor expansion of f in n 12.295 * [backup-simplify]: Simplify f into f 12.295 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.295 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.295 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.295 * [taylor]: Taking taylor expansion of f in n 12.296 * [backup-simplify]: Simplify f into f 12.296 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.296 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.296 * [taylor]: Taking taylor expansion of n in n 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify (/ 1 1) into 1 12.296 * [backup-simplify]: Simplify (+ 1 0) into 1 12.296 * [backup-simplify]: Simplify (+ 0 1) into 1 12.297 * [backup-simplify]: Simplify (/ 1 1) into 1 12.297 * [backup-simplify]: Simplify (exp 1) into E 12.297 * [taylor]: Taking taylor expansion of 1 in n 12.297 * [backup-simplify]: Simplify 1 into 1 12.297 * [backup-simplify]: Simplify (- 1) into -1 12.297 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.298 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.298 * [backup-simplify]: Simplify (log E) into 1 12.298 * [backup-simplify]: Simplify (/ 1 1) into 1 12.298 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 12.298 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.298 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.298 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.298 * [taylor]: Taking taylor expansion of 1 in f 12.298 * [backup-simplify]: Simplify 1 into 1 12.298 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.298 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.298 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.298 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.298 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.298 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.299 * [taylor]: Taking taylor expansion of n in f 12.299 * [backup-simplify]: Simplify n into n 12.299 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.299 * [taylor]: Taking taylor expansion of f in f 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 1 into 1 12.299 * [backup-simplify]: Simplify (/ 1 1) into 1 12.299 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.299 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.299 * [taylor]: Taking taylor expansion of f in f 12.299 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify 1 into 1 12.299 * [backup-simplify]: Simplify (/ 1 1) into 1 12.299 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.299 * [taylor]: Taking taylor expansion of n in f 12.299 * [backup-simplify]: Simplify n into n 12.299 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.300 * [backup-simplify]: Simplify (- 1) into -1 12.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.300 * [backup-simplify]: Simplify (+ 1 0) into 1 12.300 * [backup-simplify]: Simplify (/ -1 1) into -1 12.301 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.301 * [taylor]: Taking taylor expansion of 1 in f 12.301 * [backup-simplify]: Simplify 1 into 1 12.301 * [backup-simplify]: Simplify (- 1) into -1 12.301 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.302 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.303 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.303 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.303 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) in f 12.303 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.303 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.303 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.303 * [taylor]: Taking taylor expansion of 1 in f 12.303 * [backup-simplify]: Simplify 1 into 1 12.303 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.303 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.303 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.303 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.303 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.303 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.303 * [taylor]: Taking taylor expansion of n in f 12.303 * [backup-simplify]: Simplify n into n 12.304 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.304 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.304 * [taylor]: Taking taylor expansion of f in f 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify (/ 1 1) into 1 12.304 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.304 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.304 * [taylor]: Taking taylor expansion of f in f 12.304 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify 1 into 1 12.304 * [backup-simplify]: Simplify (/ 1 1) into 1 12.304 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.304 * [taylor]: Taking taylor expansion of n in f 12.304 * [backup-simplify]: Simplify n into n 12.304 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.305 * [backup-simplify]: Simplify (- 1) into -1 12.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.305 * [backup-simplify]: Simplify (+ 1 0) into 1 12.305 * [backup-simplify]: Simplify (/ -1 1) into -1 12.306 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.306 * [taylor]: Taking taylor expansion of 1 in f 12.306 * [backup-simplify]: Simplify 1 into 1 12.306 * [backup-simplify]: Simplify (- 1) into -1 12.306 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.307 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.308 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.308 * [backup-simplify]: Simplify (/ 1 -1) into -1 12.308 * [taylor]: Taking taylor expansion of -1 in n 12.308 * [backup-simplify]: Simplify -1 into -1 12.308 * [backup-simplify]: Simplify -1 into -1 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (- 0) into 0 12.309 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.310 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.310 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 12.310 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 12.310 * [backup-simplify]: Simplify (- 0) into 0 12.311 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 12.311 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 12.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 12.312 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 12.312 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 12.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 12.312 * [taylor]: Taking taylor expansion of 2 in n 12.312 * [backup-simplify]: Simplify 2 into 2 12.312 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.312 * [taylor]: Taking taylor expansion of n in n 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 1 into 1 12.313 * [backup-simplify]: Simplify (/ 1 1) into 1 12.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.317 * [backup-simplify]: Simplify (- 0) into 0 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify 0 into 0 12.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (- 0) into 0 12.319 * [backup-simplify]: Simplify (+ 0 0) into 0 12.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.320 * [backup-simplify]: Simplify (+ 0 0) into 0 12.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.322 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.322 * [backup-simplify]: Simplify (- 0) into 0 12.322 * [backup-simplify]: Simplify (+ 0 0) into 0 12.322 * [backup-simplify]: Simplify (+ 0 0) into 0 12.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 12.325 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.325 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 12.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 12.325 * [taylor]: Taking taylor expansion of 2 in n 12.325 * [backup-simplify]: Simplify 2 into 2 12.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 12.325 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.325 * [taylor]: Taking taylor expansion of n in n 12.325 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify 1 into 1 12.325 * [backup-simplify]: Simplify (* 1 1) into 1 12.325 * [backup-simplify]: Simplify (/ 1 1) into 1 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.328 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.328 * [backup-simplify]: Simplify (- 0) into 0 12.328 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.329 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.329 * [backup-simplify]: Simplify (- 0) into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.331 * [backup-simplify]: Simplify (- 0) into 0 12.331 * [backup-simplify]: Simplify (+ 0 0) into 0 12.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.332 * [backup-simplify]: Simplify (+ 0 0) into 0 12.333 * [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))) 12.334 * [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))) 12.334 * [backup-simplify]: Simplify (- 0) into 0 12.334 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.335 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 12.339 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 12.339 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 12.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 12.339 * [taylor]: Taking taylor expansion of 2 in n 12.339 * [backup-simplify]: Simplify 2 into 2 12.339 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 12.339 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.339 * [taylor]: Taking taylor expansion of n in n 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.339 * [backup-simplify]: Simplify (* 1 1) into 1 12.340 * [backup-simplify]: Simplify (* 1 1) into 1 12.340 * [backup-simplify]: Simplify (/ 1 1) into 1 12.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.348 * [backup-simplify]: Simplify (- 0) into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify -1 into -1 12.349 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 12.349 * [backup-simplify]: Simplify (log1p (expm1 (/ (- f n) (- (+ f n))))) into (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) 12.349 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in (f n) around 0 12.349 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in n 12.349 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.349 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in n 12.349 * [taylor]: Taking taylor expansion of 1 in n 12.349 * [backup-simplify]: Simplify 1 into 1 12.349 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in n 12.349 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 12.350 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in n 12.350 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in n 12.350 * [taylor]: Taking taylor expansion of -1 in n 12.350 * [backup-simplify]: Simplify -1 into -1 12.350 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in n 12.350 * [taylor]: Taking taylor expansion of (- f n) in n 12.350 * [taylor]: Taking taylor expansion of f in n 12.350 * [backup-simplify]: Simplify f into f 12.350 * [taylor]: Taking taylor expansion of n in n 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [taylor]: Taking taylor expansion of (+ n f) in n 12.350 * [taylor]: Taking taylor expansion of n in n 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [taylor]: Taking taylor expansion of f in n 12.350 * [backup-simplify]: Simplify f into f 12.350 * [backup-simplify]: Simplify (- 0) into 0 12.350 * [backup-simplify]: Simplify (+ f 0) into f 12.351 * [backup-simplify]: Simplify (+ 0 f) into f 12.351 * [backup-simplify]: Simplify (/ f f) into 1 12.351 * [backup-simplify]: Simplify (* -1 1) into -1 12.351 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.352 * [taylor]: Taking taylor expansion of 1 in n 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify (- 1) into -1 12.353 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.354 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.355 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.355 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.355 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.355 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.355 * [taylor]: Taking taylor expansion of 1 in f 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 12.356 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 12.356 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 12.356 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 12.356 * [taylor]: Taking taylor expansion of -1 in f 12.356 * [backup-simplify]: Simplify -1 into -1 12.356 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 12.356 * [taylor]: Taking taylor expansion of (- f n) in f 12.356 * [taylor]: Taking taylor expansion of f in f 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [taylor]: Taking taylor expansion of n in f 12.356 * [backup-simplify]: Simplify n into n 12.356 * [taylor]: Taking taylor expansion of (+ n f) in f 12.356 * [taylor]: Taking taylor expansion of n in f 12.356 * [backup-simplify]: Simplify n into n 12.356 * [taylor]: Taking taylor expansion of f in f 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (- n) into (- n) 12.356 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.356 * [backup-simplify]: Simplify (+ n 0) into n 12.356 * [backup-simplify]: Simplify (/ (- n) n) into -1 12.357 * [backup-simplify]: Simplify (* -1 -1) into 1 12.357 * [backup-simplify]: Simplify (exp 1) into E 12.357 * [taylor]: Taking taylor expansion of 1 in f 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (- 1) into -1 12.358 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.359 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.359 * [backup-simplify]: Simplify (log E) into 1 12.359 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.359 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- f n) (+ n f)))))) 12.359 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- f n) (+ n f))))) in f 12.359 * [taylor]: Taking taylor expansion of 1 in f 12.359 * [backup-simplify]: Simplify 1 into 1 12.359 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- f n) (+ n f)))) in f 12.359 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- f n) (+ n f)))) 1) 12.359 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- f n) (+ n f)))) in f 12.359 * [taylor]: Taking taylor expansion of (* -1 (/ (- f n) (+ n f))) in f 12.359 * [taylor]: Taking taylor expansion of -1 in f 12.359 * [backup-simplify]: Simplify -1 into -1 12.359 * [taylor]: Taking taylor expansion of (/ (- f n) (+ n f)) in f 12.359 * [taylor]: Taking taylor expansion of (- f n) in f 12.359 * [taylor]: Taking taylor expansion of f in f 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 1 into 1 12.360 * [taylor]: Taking taylor expansion of n in f 12.360 * [backup-simplify]: Simplify n into n 12.360 * [taylor]: Taking taylor expansion of (+ n f) in f 12.360 * [taylor]: Taking taylor expansion of n in f 12.360 * [backup-simplify]: Simplify n into n 12.360 * [taylor]: Taking taylor expansion of f in f 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 1 into 1 12.360 * [backup-simplify]: Simplify (- n) into (- n) 12.360 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 12.360 * [backup-simplify]: Simplify (+ n 0) into n 12.360 * [backup-simplify]: Simplify (/ (- n) n) into -1 12.360 * [backup-simplify]: Simplify (* -1 -1) into 1 12.361 * [backup-simplify]: Simplify (exp 1) into E 12.361 * [taylor]: Taking taylor expansion of 1 in f 12.361 * [backup-simplify]: Simplify 1 into 1 12.361 * [backup-simplify]: Simplify (- 1) into -1 12.361 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.362 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.362 * [backup-simplify]: Simplify (log E) into 1 12.362 * [taylor]: Taking taylor expansion of 1 in n 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (- 0) into 0 12.363 * [backup-simplify]: Simplify (+ 1 0) into 1 12.364 * [backup-simplify]: Simplify (+ 0 1) into 1 12.364 * [backup-simplify]: Simplify (- (/ 1 n) (+ (* -1 (/ 1 n)))) into (* 2 (/ 1 n)) 12.364 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 -1)) into (- (* 2 (/ 1 n))) 12.365 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 12.365 * [backup-simplify]: Simplify (- 0) into 0 12.365 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 12.365 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 12.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 12.366 * [taylor]: Taking taylor expansion of (/ -2 n) in n 12.366 * [taylor]: Taking taylor expansion of -2 in n 12.366 * [backup-simplify]: Simplify -2 into -2 12.366 * [taylor]: Taking taylor expansion of n in n 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify 1 into 1 12.367 * [backup-simplify]: Simplify (/ -2 1) into -2 12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify (- 0) into 0 12.368 * [backup-simplify]: Simplify (+ 0 0) into 0 12.369 * [backup-simplify]: Simplify (+ 0 0) into 0 12.369 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* -1 (/ 0 n)) (* (* 2 (/ 1 n)) (/ 1 n)))) into (- (* 2 (/ 1 (pow n 2)))) 12.370 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (* 2 (/ 1 n))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 12.371 * [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))) 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.371 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 12.371 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 12.373 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 12.373 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 12.373 * [taylor]: Taking taylor expansion of 2 in n 12.373 * [backup-simplify]: Simplify 2 into 2 12.373 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.373 * [taylor]: Taking taylor expansion of n in n 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.373 * [backup-simplify]: Simplify (* 1 1) into 1 12.374 * [backup-simplify]: Simplify (/ 2 1) into 2 12.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 12.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [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))) 12.378 * [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)))) 12.379 * [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))) 12.379 * [backup-simplify]: Simplify (- 0) into 0 12.379 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 12.379 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 12.381 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 12.381 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 12.381 * [taylor]: Taking taylor expansion of -2 in n 12.381 * [backup-simplify]: Simplify -2 into -2 12.381 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.381 * [taylor]: Taking taylor expansion of n in n 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (* 1 1) into 1 12.382 * [backup-simplify]: Simplify (* 1 1) into 1 12.382 * [backup-simplify]: Simplify (/ -2 1) into -2 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (/ 1 f) (/ 1 n)) (- (+ (/ 1 f) (/ 1 n)))))) into (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) 12.387 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in (f n) around 0 12.387 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 12.387 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.387 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in n 12.387 * [taylor]: Taking taylor expansion of 1 in n 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 12.387 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.387 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in n 12.387 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in n 12.387 * [taylor]: Taking taylor expansion of -1 in n 12.387 * [backup-simplify]: Simplify -1 into -1 12.387 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in n 12.387 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 12.387 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.387 * [taylor]: Taking taylor expansion of f in n 12.387 * [backup-simplify]: Simplify f into f 12.387 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.387 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.387 * [taylor]: Taking taylor expansion of n in n 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.388 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.388 * [taylor]: Taking taylor expansion of f in n 12.388 * [backup-simplify]: Simplify f into f 12.388 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.388 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.388 * [taylor]: Taking taylor expansion of n in n 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [backup-simplify]: Simplify (- 1) into -1 12.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.389 * [backup-simplify]: Simplify (+ 0 1) into 1 12.389 * [backup-simplify]: Simplify (/ -1 1) into -1 12.389 * [backup-simplify]: Simplify (* -1 -1) into 1 12.389 * [backup-simplify]: Simplify (exp 1) into E 12.389 * [taylor]: Taking taylor expansion of 1 in n 12.389 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (- 1) into -1 12.390 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.391 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.391 * [backup-simplify]: Simplify (log E) into 1 12.391 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.391 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.391 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.391 * [taylor]: Taking taylor expansion of 1 in f 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.391 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.391 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.391 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.391 * [taylor]: Taking taylor expansion of -1 in f 12.391 * [backup-simplify]: Simplify -1 into -1 12.391 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.391 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.391 * [taylor]: Taking taylor expansion of f in f 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.391 * [taylor]: Taking taylor expansion of n in f 12.391 * [backup-simplify]: Simplify n into n 12.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.391 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.391 * [taylor]: Taking taylor expansion of f in f 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.392 * [backup-simplify]: Simplify (/ 1 1) into 1 12.392 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.392 * [taylor]: Taking taylor expansion of n in f 12.392 * [backup-simplify]: Simplify n into n 12.392 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.392 * [backup-simplify]: Simplify (+ 1 0) into 1 12.392 * [backup-simplify]: Simplify (+ 1 0) into 1 12.393 * [backup-simplify]: Simplify (/ 1 1) into 1 12.393 * [backup-simplify]: Simplify (* -1 1) into -1 12.393 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.393 * [taylor]: Taking taylor expansion of 1 in f 12.393 * [backup-simplify]: Simplify 1 into 1 12.393 * [backup-simplify]: Simplify (- 1) into -1 12.394 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.395 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.395 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.395 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.395 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))))) 12.395 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))))) in f 12.395 * [taylor]: Taking taylor expansion of 1 in f 12.395 * [backup-simplify]: Simplify 1 into 1 12.395 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.395 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) 1) 12.395 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))))) in f 12.395 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n)))) in f 12.396 * [taylor]: Taking taylor expansion of -1 in f 12.396 * [backup-simplify]: Simplify -1 into -1 12.396 * [taylor]: Taking taylor expansion of (/ (- (/ 1 f) (/ 1 n)) (+ (/ 1 f) (/ 1 n))) in f 12.396 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 12.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.396 * [taylor]: Taking taylor expansion of f in f 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [backup-simplify]: Simplify (/ 1 1) into 1 12.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.396 * [taylor]: Taking taylor expansion of n in f 12.396 * [backup-simplify]: Simplify n into n 12.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.396 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.396 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.396 * [taylor]: Taking taylor expansion of f in f 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [backup-simplify]: Simplify (/ 1 1) into 1 12.396 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.396 * [taylor]: Taking taylor expansion of n in f 12.396 * [backup-simplify]: Simplify n into n 12.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.397 * [backup-simplify]: Simplify (+ 1 0) into 1 12.397 * [backup-simplify]: Simplify (+ 1 0) into 1 12.397 * [backup-simplify]: Simplify (/ 1 1) into 1 12.397 * [backup-simplify]: Simplify (* -1 1) into -1 12.398 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.398 * [taylor]: Taking taylor expansion of 1 in f 12.398 * [backup-simplify]: Simplify 1 into 1 12.398 * [backup-simplify]: Simplify (- 1) into -1 12.398 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.399 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.400 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.400 * [taylor]: Taking taylor expansion of -1 in n 12.400 * [backup-simplify]: Simplify -1 into -1 12.400 * [backup-simplify]: Simplify -1 into -1 12.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.400 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 12.401 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 12.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.401 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.401 * [backup-simplify]: Simplify (- (/ (- (/ 1 n)) 1) (+ (* 1 (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 n))) 12.402 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 1)) into (* 2 (/ 1 n)) 12.402 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 12.402 * [backup-simplify]: Simplify (- 0) into 0 12.402 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 12.403 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 12.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 12.404 * [taylor]: Taking taylor expansion of (/ 2 n) in n 12.404 * [taylor]: Taking taylor expansion of 2 in n 12.404 * [backup-simplify]: Simplify 2 into 2 12.404 * [taylor]: Taking taylor expansion of n in n 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (/ 2 1) into 2 12.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.406 * [backup-simplify]: Simplify (- 0) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.408 * [backup-simplify]: Simplify (+ 0 0) into 0 12.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) 1)))) into (* 2 (/ 1 (pow n 2))) 12.410 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 12.411 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.411 * [backup-simplify]: Simplify (- 0) into 0 12.412 * [backup-simplify]: Simplify (+ 0 0) into 0 12.412 * [backup-simplify]: Simplify (+ 0 0) into 0 12.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 12.415 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 12.415 * [taylor]: Taking taylor expansion of -2 in n 12.415 * [backup-simplify]: Simplify -2 into -2 12.415 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.415 * [taylor]: Taking taylor expansion of n in n 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 1 into 1 12.416 * [backup-simplify]: Simplify (* 1 1) into 1 12.416 * [backup-simplify]: Simplify (/ -2 1) into -2 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.423 * [backup-simplify]: Simplify (- 0) into 0 12.423 * [backup-simplify]: Simplify (+ 0 0) into 0 12.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.425 * [backup-simplify]: Simplify (+ 0 0) into 0 12.426 * [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)))) 12.428 * [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))) 12.429 * [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))) 12.430 * [backup-simplify]: Simplify (- 0) into 0 12.430 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.431 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.439 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 12.439 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 12.439 * [taylor]: Taking taylor expansion of 2 in n 12.439 * [backup-simplify]: Simplify 2 into 2 12.439 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.439 * [taylor]: Taking taylor expansion of n in n 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 1 into 1 12.439 * [backup-simplify]: Simplify (* 1 1) into 1 12.440 * [backup-simplify]: Simplify (* 1 1) into 1 12.440 * [backup-simplify]: Simplify (/ 2 1) into 2 12.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 12.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify -1 into -1 12.445 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (/ 1 (- f)) (/ 1 (- n))) (- (+ (/ 1 (- f)) (/ 1 (- n))))))) into (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) 12.445 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in (f n) around 0 12.445 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 12.445 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.445 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in n 12.445 * [taylor]: Taking taylor expansion of 1 in n 12.445 * [backup-simplify]: Simplify 1 into 1 12.445 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 12.445 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.445 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in n 12.445 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in n 12.445 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 12.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.445 * [taylor]: Taking taylor expansion of n in n 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.445 * [backup-simplify]: Simplify (/ 1 1) into 1 12.445 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.446 * [taylor]: Taking taylor expansion of f in n 12.446 * [backup-simplify]: Simplify f into f 12.446 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.446 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 12.446 * [taylor]: Taking taylor expansion of (/ 1 f) in n 12.446 * [taylor]: Taking taylor expansion of f in n 12.446 * [backup-simplify]: Simplify f into f 12.446 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 12.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.446 * [taylor]: Taking taylor expansion of n in n 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (/ 1 1) into 1 12.446 * [backup-simplify]: Simplify (+ 1 0) into 1 12.447 * [backup-simplify]: Simplify (+ 0 1) into 1 12.447 * [backup-simplify]: Simplify (/ 1 1) into 1 12.447 * [backup-simplify]: Simplify (exp 1) into E 12.447 * [taylor]: Taking taylor expansion of 1 in n 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (- 1) into -1 12.447 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 12.448 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 12.448 * [backup-simplify]: Simplify (log E) into 1 12.448 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.448 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.448 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.448 * [taylor]: Taking taylor expansion of 1 in f 12.448 * [backup-simplify]: Simplify 1 into 1 12.448 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.448 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.448 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.448 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.448 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.448 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.448 * [taylor]: Taking taylor expansion of n in f 12.448 * [backup-simplify]: Simplify n into n 12.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.448 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.448 * [taylor]: Taking taylor expansion of f in f 12.449 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify 1 into 1 12.449 * [backup-simplify]: Simplify (/ 1 1) into 1 12.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.449 * [taylor]: Taking taylor expansion of f in f 12.449 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify 1 into 1 12.449 * [backup-simplify]: Simplify (/ 1 1) into 1 12.449 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.449 * [taylor]: Taking taylor expansion of n in f 12.449 * [backup-simplify]: Simplify n into n 12.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.449 * [backup-simplify]: Simplify (- 1) into -1 12.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.450 * [backup-simplify]: Simplify (+ 1 0) into 1 12.450 * [backup-simplify]: Simplify (/ -1 1) into -1 12.450 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.451 * [taylor]: Taking taylor expansion of 1 in f 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [backup-simplify]: Simplify (- 1) into -1 12.451 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.452 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.453 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.453 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.453 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))))) 12.453 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))))) in f 12.453 * [taylor]: Taking taylor expansion of 1 in f 12.453 * [backup-simplify]: Simplify 1 into 1 12.453 * [taylor]: Taking taylor expansion of (expm1 (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.453 * [taylor]: Rewrote expression to (- (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) 1) 12.453 * [taylor]: Taking taylor expansion of (exp (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n)))) in f 12.453 * [taylor]: Taking taylor expansion of (/ (- (/ 1 n) (/ 1 f)) (+ (/ 1 f) (/ 1 n))) in f 12.453 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 12.453 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.453 * [taylor]: Taking taylor expansion of n in f 12.453 * [backup-simplify]: Simplify n into n 12.453 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.453 * [taylor]: Taking taylor expansion of f in f 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify 1 into 1 12.453 * [backup-simplify]: Simplify (/ 1 1) into 1 12.453 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 12.453 * [taylor]: Taking taylor expansion of (/ 1 f) in f 12.453 * [taylor]: Taking taylor expansion of f in f 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 1 into 1 12.454 * [backup-simplify]: Simplify (/ 1 1) into 1 12.454 * [taylor]: Taking taylor expansion of (/ 1 n) in f 12.454 * [taylor]: Taking taylor expansion of n in f 12.454 * [backup-simplify]: Simplify n into n 12.454 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.454 * [backup-simplify]: Simplify (- 1) into -1 12.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.455 * [backup-simplify]: Simplify (+ 1 0) into 1 12.455 * [backup-simplify]: Simplify (/ -1 1) into -1 12.455 * [backup-simplify]: Simplify (exp -1) into (exp -1) 12.455 * [taylor]: Taking taylor expansion of 1 in f 12.455 * [backup-simplify]: Simplify 1 into 1 12.455 * [backup-simplify]: Simplify (- 1) into -1 12.456 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 12.457 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 12.457 * [backup-simplify]: Simplify (log (exp -1)) into -1 12.457 * [taylor]: Taking taylor expansion of -1 in n 12.457 * [backup-simplify]: Simplify -1 into -1 12.457 * [backup-simplify]: Simplify -1 into -1 12.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.458 * [backup-simplify]: Simplify (- 0) into 0 12.458 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.459 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.459 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* -1 (/ (/ 1 n) 1)))) into (* 2 (/ 1 n)) 12.459 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 12.459 * [backup-simplify]: Simplify (- 0) into 0 12.460 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 12.460 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 12.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 12.461 * [taylor]: Taking taylor expansion of (/ 2 n) in n 12.461 * [taylor]: Taking taylor expansion of 2 in n 12.461 * [backup-simplify]: Simplify 2 into 2 12.461 * [taylor]: Taking taylor expansion of n in n 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify (/ 2 1) into 2 12.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.463 * [backup-simplify]: Simplify (- 0) into 0 12.463 * [backup-simplify]: Simplify (+ 0 0) into 0 12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.464 * [backup-simplify]: Simplify (+ 0 0) into 0 12.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (/ 1 n) 1)))) into (- (* 2 (/ 1 (pow n 2)))) 12.465 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 12.466 * [backup-simplify]: Simplify (- 0) into 0 12.466 * [backup-simplify]: Simplify (+ 0 0) into 0 12.466 * [backup-simplify]: Simplify (+ 0 0) into 0 12.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 12.469 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 12.469 * [taylor]: Taking taylor expansion of -2 in n 12.469 * [backup-simplify]: Simplify -2 into -2 12.470 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.470 * [taylor]: Taking taylor expansion of n in n 12.470 * [backup-simplify]: Simplify 0 into 0 12.470 * [backup-simplify]: Simplify 1 into 1 12.470 * [backup-simplify]: Simplify (* 1 1) into 1 12.470 * [backup-simplify]: Simplify (/ -2 1) into -2 12.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.475 * [backup-simplify]: Simplify (- 0) into 0 12.475 * [backup-simplify]: Simplify (+ 0 0) into 0 12.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.476 * [backup-simplify]: Simplify (+ 0 0) into 0 12.477 * [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))) 12.478 * [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))) 12.478 * [backup-simplify]: Simplify (- 0) into 0 12.479 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.480 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 12.483 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 12.483 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 12.483 * [taylor]: Taking taylor expansion of 2 in n 12.483 * [backup-simplify]: Simplify 2 into 2 12.483 * [taylor]: Taking taylor expansion of (pow n 3) in n 12.483 * [taylor]: Taking taylor expansion of n in n 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify (* 1 1) into 1 12.483 * [backup-simplify]: Simplify (* 1 1) into 1 12.484 * [backup-simplify]: Simplify (/ 2 1) into 2 12.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 12.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify -1 into -1 12.489 * * * [progress]: simplifying candidates 12.491 * [simplify]: Simplifying: (exp (/ (- f n) (- (+ f n)))) (expm1 (expm1 (/ (- f n) (- (+ f n))))) (log1p (expm1 (/ (- f n) (- (+ f n))))) (log (expm1 (/ (- f n) (- (+ f n))))) (exp (expm1 (/ (- f n) (- (+ f n))))) (* (cbrt (expm1 (/ (- f n) (- (+ f n))))) (cbrt (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (expm1 (/ (- f n) (- (+ f n))))) (* (* (expm1 (/ (- f n) (- (+ f n)))) (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n))))) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (- (log (- f n)) (log (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (- (+ f n)) (- (+ f n))) (- (+ f n)))) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (* (* (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n)))) (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- (- f n)) (- (- (+ f n))) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (sqrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) -1) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (cbrt (- f n)) (cbrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- (sqrt (+ f n)))) (/ (cbrt (- f n)) (sqrt (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- 1)) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (- 1)) (/ (cbrt (- f n)) (+ f n)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (- f n)) (- (cbrt (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (+ f n))) (/ (cbrt (- f n)) (- (sqrt (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) 1) (/ (cbrt (- f n)) (- (+ f n))) (/ (sqrt (- f n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (sqrt (- f n)) (cbrt (- (+ f n)))) (/ (sqrt (- f n)) (sqrt (- (+ f n)))) (/ (sqrt (- f n)) (sqrt (- (+ f n)))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (- (+ f n))) (/ (sqrt (- f n)) -1) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (sqrt (- f n)) (cbrt (+ f n))) (/ (sqrt (- f n)) (- (sqrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (- 1)) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (- 1)) (/ (sqrt (- f n)) (+ f n)) (/ (sqrt (- f n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (sqrt (- f n)) (- (cbrt (+ f n)))) (/ (sqrt (- f n)) (sqrt (+ f n))) (/ (sqrt (- f n)) (- (sqrt (+ f n)))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (- (+ f n))) (/ (sqrt (- f n)) 1) (/ (sqrt (- f n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ 1 1) (/ (- f n) (- (+ f n))) (/ 1 -1) (/ (- f n) (+ f n)) (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))) (/ 1 (- (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ (- f n) (- (sqrt (+ f n)))) (/ 1 1) (/ (- f n) (- (+ f n))) (/ 1 1) (/ (- f n) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) -1) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- 1)) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (- (cbrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) 1) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ 1 1) (/ (- f n) (- (+ f n))) (/ 1 -1) (/ (- f n) (+ f n)) (/ 1 (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (cbrt (+ f n))) (/ 1 (- (sqrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (- 1)) (/ (- f n) (+ f n)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (- (cbrt (+ f n)))) (/ 1 (sqrt (+ f n))) (/ (- f n) (- (sqrt (+ f n)))) (/ 1 1) (/ (- f n) (- (+ f n))) (/ 1 1) (/ (- f n) (- (+ f n))) (/ 1 (- (+ f n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) 1) (/ (- f n) -1) (/ (- f n) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- 1)) (/ (- f n) (- 1)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) 1) (/ (- f n) 1) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ (pow f 3) (pow n 3)))) (/ (- f n) (- (- (* f f) (* n n)))) (* (- (+ f n)) (+ (* f f) (+ (* n n) (* f n)))) (* (- (+ f n)) (+ f n)) (expm1 (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (log1p (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- 1) (- (log (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- 0 (log (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- (log 1) (log (log1p (expm1 (/ (- f n) (- (+ f n))))))) (log (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (exp (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (* (* 1 1) 1) (* (* (log1p (expm1 (/ (- f n) (- (+ f n))))) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log1p (expm1 (/ (- f n) (- (+ f n))))))) (* (cbrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (cbrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (cbrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (* (* (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (sqrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (sqrt (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))) (- 1) (- (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ (cbrt 1) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (cbrt 1) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ (sqrt 1) (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ (sqrt 1) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (sqrt 1) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (sqrt 1) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ (sqrt 1) 1) (/ (sqrt 1) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ 1 (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 1) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ 1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) 1) (/ 1 (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))))) (/ 1 (sqrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (/ 1 1) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) (cbrt 1)) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) (sqrt 1)) (/ (log1p (expm1 (/ (- f n) (- (+ f n))))) 1) (+ 1 (expm1 (/ (- f n) (- (+ f n))))) (expm1 (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log1p (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log (log1p (expm1 (/ (- f n) (- (+ f n)))))) (exp (log1p (expm1 (/ (- f n) (- (+ f n)))))) (* (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n))))))) (cbrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (* (* (log1p (expm1 (/ (- f n) (- (+ f n))))) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (log1p (expm1 (/ (- f n) (- (+ f n)))))) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (sqrt (log1p (expm1 (/ (- f n) (- (+ f n)))))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 1 -1 -1 1 -1 -1 12.495 * * [simplify]: Extracting # 0 : cost 0 12.495 * * [simplify]: Extracting # 1 : cost 0 12.495 * * [simplify]: Extracting # 2 : cost 0 12.495 * * [simplify]: Extracting # 3 : cost 0 12.496 * * [simplify]: Extracting # 4 : cost 0 12.496 * * [simplify]: Extracting # 5 : cost 0 12.496 * * [simplify]: iteration 0 : 199 enodes (cost 2365 ) 12.857 * * [simplify]: Extracting # 0 : cost 0 12.860 * * [simplify]: Extracting # 1 : cost 0 12.863 * * [simplify]: Extracting # 2 : cost 0 12.865 * * [simplify]: Extracting # 3 : cost 0 12.868 * * [simplify]: iteration 1 : 1131 enodes (cost 2124 ) 14.678 * * [simplify]: Extracting # 0 : cost 0 14.687 * * [simplify]: Extracting # 1 : cost 0 14.694 * * [simplify]: Extracting # 2 : cost 0 14.700 * * [simplify]: Extracting # 3 : cost 0 14.707 * * [simplify]: Extracting # 4 : cost 0 14.713 * * [simplify]: iteration done: 5000 enodes (cost 2016 ) 14.714 * [simplify]: Simplified to: (exp (/ (- f n) (- (+ f n)))) (expm1 (expm1 (/ (- f n) (- (+ f n))))) (/ (- f n) (- (+ f n))) (log (expm1 (/ (- f n) (- (+ f n))))) (exp (expm1 (/ (- f n) (- (+ f n))))) (* (cbrt (expm1 (/ (- f n) (- (+ f n))))) (cbrt (expm1 (/ (- f n) (- (+ f n)))))) (cbrt (expm1 (/ (- f n) (- (+ f n))))) (pow (expm1 (/ (- f n) (- (+ f n)))) 3) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (sqrt (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- (- f n)) (+ n f) (/ f (- (+ f n))) (/ n (- (+ f n))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (cbrt (- f n)) (cbrt (- (+ f n)))) (/ (* (cbrt (- f n)) (cbrt (- f n))) (sqrt (- (+ f n)))) (/ (cbrt (- f n)) (sqrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))) (/ (cbrt (- f n)) (- (+ f n))) (- (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- 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)))) (/ (cbrt (- 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))) (/ (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 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 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 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 (/ (- 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 (/ (- 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 (/ (- f n) (- (+ f n))) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (- (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (- (+ f n)))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (- (+ (sqrt f) (sqrt n))) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- (sqrt f) (sqrt n)) (cbrt (+ f n))) (/ (+ (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (sqrt (+ f n))) (- (+ (sqrt f) (sqrt n))) (/ (- (sqrt f) (sqrt n)) (+ f n)) (- (+ (sqrt f) (sqrt n))) (/ (- (sqrt f) (sqrt n)) (+ f n)) (/ (+ (sqrt f) (sqrt n)) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- (sqrt f) (sqrt n)) (- (cbrt (+ f n)))) (/ (+ (sqrt f) (sqrt n)) (sqrt (+ f n))) (/ (- (sqrt f) (sqrt n)) (- (sqrt (+ f n)))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (+ (sqrt f) (sqrt n)) (/ (- (sqrt f) (sqrt n)) (- (+ f n))) (/ 1 (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (cbrt (- (+ f n)))) (/ 1 (sqrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) 1 (/ (- f n) (- (+ f 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 (/ (- 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 (/ (- f n) (- (+ f n))) (/ 1 (- (+ f n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (/ (- f n) (sqrt (- (+ f n)))) (- f n) (- (- f n)) (/ (- f n) (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (/ (- f n) (- (sqrt (+ f n)))) (- (- f n)) (- (- f n)) (/ (- f n) (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (- f n) (sqrt (+ f n))) (- f n) (- f n) (/ (- (+ f n)) (cbrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) (/ (- (+ f n)) (- f n)) (/ (- f n) (- (+ (pow f 3) (pow n 3)))) (/ (- f n) (- (- (* f f) (* n n)))) (* (fma f f (* n (+ f n))) (- (+ f n))) (* (+ f n) (- (+ f n))) (expm1 (/ 1 (/ (- f n) (- (+ f n))))) (log1p (/ 1 (/ (- f n) (- (+ f n))))) -1 (- (log (/ (- f n) (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (- (log (/ (- f n) (- (+ f n))))) (exp (/ 1 (/ (- f n) (- (+ f n))))) (pow (/ 1 (/ (- f n) (- (+ f n)))) 3) (* (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (cbrt (/ 1 (/ (- f n) (- (+ f n)))))) (cbrt (/ 1 (/ (- f n) (- (+ f n))))) (pow (/ 1 (/ (- f n) (- (+ f n)))) 3) (sqrt (/ 1 (/ (- f n) (- (+ f n))))) (sqrt (/ 1 (/ (- f n) (- (+ f n))))) -1 (/ (- (- f n)) (- (+ f n))) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ 1 (/ (- f n) (- (+ f n)))) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ 1 (/ (- f n) (- (+ f n)))) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (cbrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ 1 (/ (- f n) (- (+ f n)))) (/ 1 (/ (- f n) (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ 1 (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n)))))) (/ 1 (sqrt (/ (- f n) (- (+ f n))))) 1 (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (+ 1 (expm1 (/ (- f n) (- (+ f n))))) (expm1 (/ (- f n) (- (+ f n)))) (log1p (/ (- f n) (- (+ f n)))) (log (/ (- f n) (- (+ f n)))) (exp (/ (- f n) (- (+ f n)))) (* (cbrt (/ (- f n) (- (+ f n)))) (cbrt (/ (- f n) (- (+ f n))))) (cbrt (/ (- f n) (- (+ f n)))) (pow (/ (- f n) (- (+ f n))) 3) (sqrt (/ (- f n) (- (+ f n)))) (sqrt (/ (- f n) (- (+ f n)))) (- E 1) (expm1 -1) (expm1 -1) 1 -1 -1 1 -1 -1 1 -1 -1 14.715 * * * [progress]: adding candidates to table 15.119 * * [progress]: iteration 4 / 4 15.119 * * * [progress]: picking best candidate 15.128 * * * * [pick]: Picked # 15.128 * * * [progress]: localizing error 15.153 * * * [progress]: generating rewritten candidates 15.154 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 15.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 15.607 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 15.647 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 16.020 * * * [progress]: generating series expansions 16.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 16.021 * [backup-simplify]: Simplify (expm1 (- (/ f (- (+ f n))) (/ n (- (+ f n))))) into (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) 16.021 * [approximate]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in (f n) around 0 16.021 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in n 16.021 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 16.021 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in n 16.021 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in n 16.021 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 16.021 * [taylor]: Taking taylor expansion of n in n 16.021 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify 1 into 1 16.021 * [taylor]: Taking taylor expansion of (+ n f) in n 16.021 * [taylor]: Taking taylor expansion of n in n 16.021 * [backup-simplify]: Simplify 0 into 0 16.021 * [backup-simplify]: Simplify 1 into 1 16.021 * [taylor]: Taking taylor expansion of f in n 16.021 * [backup-simplify]: Simplify f into f 16.021 * [backup-simplify]: Simplify (+ 0 f) into f 16.021 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.021 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 16.021 * [taylor]: Taking taylor expansion of f in n 16.022 * [backup-simplify]: Simplify f into f 16.022 * [taylor]: Taking taylor expansion of (+ n f) in n 16.022 * [taylor]: Taking taylor expansion of n in n 16.022 * [backup-simplify]: Simplify 0 into 0 16.022 * [backup-simplify]: Simplify 1 into 1 16.022 * [taylor]: Taking taylor expansion of f in n 16.022 * [backup-simplify]: Simplify f into f 16.022 * [backup-simplify]: Simplify (+ 0 f) into f 16.022 * [backup-simplify]: Simplify (/ f f) into 1 16.023 * [backup-simplify]: Simplify (- 1) into -1 16.023 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.024 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.024 * [taylor]: Taking taylor expansion of 1 in n 16.024 * [backup-simplify]: Simplify 1 into 1 16.024 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.024 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 16.024 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.024 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 16.024 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.024 * [taylor]: Taking taylor expansion of n in f 16.024 * [backup-simplify]: Simplify n into n 16.024 * [taylor]: Taking taylor expansion of (+ n f) in f 16.024 * [taylor]: Taking taylor expansion of n in f 16.024 * [backup-simplify]: Simplify n into n 16.024 * [taylor]: Taking taylor expansion of f in f 16.024 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify 1 into 1 16.024 * [backup-simplify]: Simplify (+ n 0) into n 16.024 * [backup-simplify]: Simplify (/ n n) into 1 16.024 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 16.024 * [taylor]: Taking taylor expansion of f in f 16.024 * [backup-simplify]: Simplify 0 into 0 16.024 * [backup-simplify]: Simplify 1 into 1 16.024 * [taylor]: Taking taylor expansion of (+ n f) in f 16.025 * [taylor]: Taking taylor expansion of n in f 16.025 * [backup-simplify]: Simplify n into n 16.025 * [taylor]: Taking taylor expansion of f in f 16.025 * [backup-simplify]: Simplify 0 into 0 16.025 * [backup-simplify]: Simplify 1 into 1 16.025 * [backup-simplify]: Simplify (+ n 0) into n 16.025 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.025 * [backup-simplify]: Simplify (+ 1 0) into 1 16.025 * [backup-simplify]: Simplify (exp 1) into E 16.025 * [taylor]: Taking taylor expansion of 1 in f 16.025 * [backup-simplify]: Simplify 1 into 1 16.025 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.026 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 16.026 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.026 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 16.026 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.026 * [taylor]: Taking taylor expansion of n in f 16.026 * [backup-simplify]: Simplify n into n 16.026 * [taylor]: Taking taylor expansion of (+ n f) in f 16.026 * [taylor]: Taking taylor expansion of n in f 16.026 * [backup-simplify]: Simplify n into n 16.026 * [taylor]: Taking taylor expansion of f in f 16.026 * [backup-simplify]: Simplify 0 into 0 16.026 * [backup-simplify]: Simplify 1 into 1 16.026 * [backup-simplify]: Simplify (+ n 0) into n 16.026 * [backup-simplify]: Simplify (/ n n) into 1 16.026 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 16.026 * [taylor]: Taking taylor expansion of f in f 16.026 * [backup-simplify]: Simplify 0 into 0 16.026 * [backup-simplify]: Simplify 1 into 1 16.026 * [taylor]: Taking taylor expansion of (+ n f) in f 16.026 * [taylor]: Taking taylor expansion of n in f 16.026 * [backup-simplify]: Simplify n into n 16.026 * [taylor]: Taking taylor expansion of f in f 16.026 * [backup-simplify]: Simplify 0 into 0 16.026 * [backup-simplify]: Simplify 1 into 1 16.026 * [backup-simplify]: Simplify (+ n 0) into n 16.026 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.027 * [backup-simplify]: Simplify (+ 1 0) into 1 16.027 * [backup-simplify]: Simplify (exp 1) into E 16.027 * [taylor]: Taking taylor expansion of 1 in f 16.027 * [backup-simplify]: Simplify 1 into 1 16.027 * [backup-simplify]: Simplify (- 1) into -1 16.028 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 16.028 * [taylor]: Taking taylor expansion of (- E 1) in n 16.028 * [taylor]: Taking taylor expansion of E in n 16.028 * [backup-simplify]: Simplify E into E 16.028 * [taylor]: Taking taylor expansion of 1 in n 16.028 * [backup-simplify]: Simplify 1 into 1 16.029 * [backup-simplify]: Simplify (- 1) into -1 16.029 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 16.030 * [backup-simplify]: Simplify (- E 1) into (- E 1) 16.030 * [backup-simplify]: Simplify (+ 0 1) into 1 16.031 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 16.031 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 16.031 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 16.031 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 16.032 * [backup-simplify]: Simplify (- 0) into 0 16.032 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 16.032 * [taylor]: Taking taylor expansion of (- (* 2 (/ E n))) in n 16.032 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 16.032 * [taylor]: Taking taylor expansion of 2 in n 16.032 * [backup-simplify]: Simplify 2 into 2 16.032 * [taylor]: Taking taylor expansion of (/ E n) in n 16.032 * [taylor]: Taking taylor expansion of E in n 16.032 * [backup-simplify]: Simplify E into E 16.032 * [taylor]: Taking taylor expansion of n in n 16.032 * [backup-simplify]: Simplify 0 into 0 16.032 * [backup-simplify]: Simplify 1 into 1 16.033 * [backup-simplify]: Simplify (/ E 1) into E 16.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 16.034 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 16.035 * [backup-simplify]: Simplify (- 0) into 0 16.035 * [backup-simplify]: Simplify 0 into 0 16.035 * [backup-simplify]: Simplify (- 0) into 0 16.036 * [backup-simplify]: Simplify (+ 0 0) into 0 16.036 * [backup-simplify]: Simplify 0 into 0 16.036 * [backup-simplify]: Simplify (+ 0 0) into 0 16.036 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 16.037 * [backup-simplify]: Simplify (+ 0 1) into 1 16.037 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.037 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 16.038 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 16.038 * [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))) 16.039 * [backup-simplify]: Simplify (- 0) into 0 16.039 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 16.039 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 16.039 * [taylor]: Taking taylor expansion of 4 in n 16.039 * [backup-simplify]: Simplify 4 into 4 16.039 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 16.039 * [taylor]: Taking taylor expansion of E in n 16.039 * [backup-simplify]: Simplify E into E 16.039 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.039 * [taylor]: Taking taylor expansion of n in n 16.039 * [backup-simplify]: Simplify 0 into 0 16.039 * [backup-simplify]: Simplify 1 into 1 16.040 * [backup-simplify]: Simplify (* 1 1) into 1 16.040 * [backup-simplify]: Simplify (/ E 1) into E 16.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 16.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.045 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 16.045 * [backup-simplify]: Simplify 0 into 0 16.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 16.048 * [backup-simplify]: Simplify (- 0) into 0 16.048 * [backup-simplify]: Simplify 0 into 0 16.048 * [backup-simplify]: Simplify (- 0) into 0 16.048 * [backup-simplify]: Simplify (+ 0 0) into 0 16.048 * [backup-simplify]: Simplify 0 into 0 16.049 * [backup-simplify]: Simplify (+ 0 0) into 0 16.049 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 16.050 * [backup-simplify]: Simplify (+ 0 0) into 0 16.050 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.050 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 16.051 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 16.052 * [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))) 16.052 * [backup-simplify]: Simplify (- 0) into 0 16.053 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 16.053 * [taylor]: Taking taylor expansion of (- (* 22/3 (/ E (pow n 3)))) in n 16.053 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 16.053 * [taylor]: Taking taylor expansion of 22/3 in n 16.053 * [backup-simplify]: Simplify 22/3 into 22/3 16.053 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 16.053 * [taylor]: Taking taylor expansion of E in n 16.053 * [backup-simplify]: Simplify E into E 16.053 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.053 * [taylor]: Taking taylor expansion of n in n 16.053 * [backup-simplify]: Simplify 0 into 0 16.053 * [backup-simplify]: Simplify 1 into 1 16.053 * [backup-simplify]: Simplify (* 1 1) into 1 16.054 * [backup-simplify]: Simplify (* 1 1) into 1 16.054 * [backup-simplify]: Simplify (/ E 1) into E 16.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 16.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.063 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 16.064 * [backup-simplify]: Simplify (- 0) into 0 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify (- E 1) into (- E 1) 16.065 * [backup-simplify]: Simplify (expm1 (- (/ (/ 1 f) (- (+ (/ 1 f) (/ 1 n)))) (/ (/ 1 n) (- (+ (/ 1 f) (/ 1 n)))))) into (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 16.065 * [approximate]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in (f n) around 0 16.065 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.065 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.065 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.065 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 16.065 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.065 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.065 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.065 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.066 * [taylor]: Taking taylor expansion of f in n 16.066 * [backup-simplify]: Simplify f into f 16.066 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.066 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.066 * [taylor]: Taking taylor expansion of n in n 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 1 into 1 16.066 * [backup-simplify]: Simplify (/ 1 1) into 1 16.066 * [taylor]: Taking taylor expansion of n in n 16.066 * [backup-simplify]: Simplify 0 into 0 16.066 * [backup-simplify]: Simplify 1 into 1 16.067 * [backup-simplify]: Simplify (+ 0 1) into 1 16.067 * [backup-simplify]: Simplify (* 1 0) into 0 16.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.068 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.069 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.069 * [backup-simplify]: Simplify (/ 1 1) into 1 16.069 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 16.069 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 16.069 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.069 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.069 * [taylor]: Taking taylor expansion of f in n 16.069 * [backup-simplify]: Simplify f into f 16.069 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.069 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.069 * [taylor]: Taking taylor expansion of n in n 16.069 * [backup-simplify]: Simplify 0 into 0 16.069 * [backup-simplify]: Simplify 1 into 1 16.070 * [backup-simplify]: Simplify (/ 1 1) into 1 16.070 * [taylor]: Taking taylor expansion of f in n 16.070 * [backup-simplify]: Simplify f into f 16.070 * [backup-simplify]: Simplify (+ 0 1) into 1 16.070 * [backup-simplify]: Simplify (* 1 f) into f 16.070 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.071 * [backup-simplify]: Simplify (+ 1 0) into 1 16.071 * [backup-simplify]: Simplify (exp 1) into E 16.071 * [taylor]: Taking taylor expansion of 1 in n 16.071 * [backup-simplify]: Simplify 1 into 1 16.071 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.071 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.071 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.071 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.071 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.071 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.071 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.071 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.071 * [taylor]: Taking taylor expansion of f in f 16.071 * [backup-simplify]: Simplify 0 into 0 16.071 * [backup-simplify]: Simplify 1 into 1 16.072 * [backup-simplify]: Simplify (/ 1 1) into 1 16.072 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.072 * [taylor]: Taking taylor expansion of n in f 16.072 * [backup-simplify]: Simplify n into n 16.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.072 * [taylor]: Taking taylor expansion of n in f 16.072 * [backup-simplify]: Simplify n into n 16.072 * [backup-simplify]: Simplify (+ 1 0) into 1 16.072 * [backup-simplify]: Simplify (* 1 n) into n 16.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.072 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.072 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.072 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.072 * [taylor]: Taking taylor expansion of f in f 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [backup-simplify]: Simplify (/ 1 1) into 1 16.073 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.073 * [taylor]: Taking taylor expansion of n in f 16.073 * [backup-simplify]: Simplify n into n 16.073 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.073 * [taylor]: Taking taylor expansion of f in f 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [backup-simplify]: Simplify (+ 1 0) into 1 16.074 * [backup-simplify]: Simplify (* 1 0) into 0 16.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.075 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.075 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.076 * [backup-simplify]: Simplify (/ 1 1) into 1 16.076 * [backup-simplify]: Simplify (- 1) into -1 16.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.077 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.077 * [taylor]: Taking taylor expansion of 1 in f 16.077 * [backup-simplify]: Simplify 1 into 1 16.077 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.077 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.077 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.077 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.077 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.077 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.077 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.077 * [taylor]: Taking taylor expansion of f in f 16.077 * [backup-simplify]: Simplify 0 into 0 16.077 * [backup-simplify]: Simplify 1 into 1 16.077 * [backup-simplify]: Simplify (/ 1 1) into 1 16.077 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.078 * [taylor]: Taking taylor expansion of n in f 16.078 * [backup-simplify]: Simplify n into n 16.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.078 * [taylor]: Taking taylor expansion of n in f 16.078 * [backup-simplify]: Simplify n into n 16.078 * [backup-simplify]: Simplify (+ 1 0) into 1 16.078 * [backup-simplify]: Simplify (* 1 n) into n 16.078 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.078 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.078 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.078 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.078 * [taylor]: Taking taylor expansion of f in f 16.078 * [backup-simplify]: Simplify 0 into 0 16.078 * [backup-simplify]: Simplify 1 into 1 16.079 * [backup-simplify]: Simplify (/ 1 1) into 1 16.079 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.079 * [taylor]: Taking taylor expansion of n in f 16.079 * [backup-simplify]: Simplify n into n 16.079 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.079 * [taylor]: Taking taylor expansion of f in f 16.079 * [backup-simplify]: Simplify 0 into 0 16.079 * [backup-simplify]: Simplify 1 into 1 16.079 * [backup-simplify]: Simplify (+ 1 0) into 1 16.080 * [backup-simplify]: Simplify (* 1 0) into 0 16.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.081 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.081 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.081 * [backup-simplify]: Simplify (/ 1 1) into 1 16.082 * [backup-simplify]: Simplify (- 1) into -1 16.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.082 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.083 * [taylor]: Taking taylor expansion of 1 in f 16.083 * [backup-simplify]: Simplify 1 into 1 16.083 * [backup-simplify]: Simplify (- 1) into -1 16.084 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.084 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 16.084 * [taylor]: Taking taylor expansion of (exp -1) in n 16.084 * [taylor]: Taking taylor expansion of -1 in n 16.084 * [backup-simplify]: Simplify -1 into -1 16.084 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.084 * [taylor]: Taking taylor expansion of 1 in n 16.084 * [backup-simplify]: Simplify 1 into 1 16.085 * [backup-simplify]: Simplify (- 1) into -1 16.085 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.086 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 16.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.088 * [backup-simplify]: Simplify (+ 0 0) into 0 16.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 16.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 16.089 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 16.089 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 16.090 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 16.090 * [backup-simplify]: Simplify (- 0) into 0 16.091 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 16.091 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 16.091 * [taylor]: Taking taylor expansion of 2 in n 16.091 * [backup-simplify]: Simplify 2 into 2 16.091 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 16.091 * [taylor]: Taking taylor expansion of (exp -1) in n 16.091 * [taylor]: Taking taylor expansion of -1 in n 16.091 * [backup-simplify]: Simplify -1 into -1 16.091 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.092 * [taylor]: Taking taylor expansion of n in n 16.092 * [backup-simplify]: Simplify 0 into 0 16.092 * [backup-simplify]: Simplify 1 into 1 16.092 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 16.094 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 16.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 16.095 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 16.095 * [backup-simplify]: Simplify 0 into 0 16.097 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 16.097 * [backup-simplify]: Simplify (- 0) into 0 16.097 * [backup-simplify]: Simplify (+ 0 0) into 0 16.097 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.098 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.099 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 16.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.100 * [backup-simplify]: Simplify (+ 0 0) into 0 16.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 16.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 16.102 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.103 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 16.104 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 16.104 * [backup-simplify]: Simplify (- 0) into 0 16.105 * [backup-simplify]: Simplify (+ 0 0) into 0 16.105 * [taylor]: Taking taylor expansion of 0 in n 16.105 * [backup-simplify]: Simplify 0 into 0 16.105 * [backup-simplify]: Simplify 0 into 0 16.107 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 16.109 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.111 * [backup-simplify]: Simplify (- 0) into 0 16.112 * [backup-simplify]: Simplify (+ 0 0) into 0 16.112 * [backup-simplify]: Simplify 0 into 0 16.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.113 * [backup-simplify]: Simplify (+ 0 0) into 0 16.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 16.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.121 * [backup-simplify]: Simplify (+ 0 0) into 0 16.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 16.122 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 16.123 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 16.123 * [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))) 16.124 * [backup-simplify]: Simplify (- 0) into 0 16.124 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 16.124 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 16.124 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 16.124 * [taylor]: Taking taylor expansion of 2/3 in n 16.124 * [backup-simplify]: Simplify 2/3 into 2/3 16.124 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 16.124 * [taylor]: Taking taylor expansion of (exp -1) in n 16.124 * [taylor]: Taking taylor expansion of -1 in n 16.124 * [backup-simplify]: Simplify -1 into -1 16.125 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.125 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.125 * [taylor]: Taking taylor expansion of n in n 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 1 into 1 16.125 * [backup-simplify]: Simplify (* 1 1) into 1 16.125 * [backup-simplify]: Simplify (* 1 1) into 1 16.126 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 16.127 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.130 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 16.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 16.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.132 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.134 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 16.134 * [backup-simplify]: Simplify (- 0) into 0 16.134 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 16.135 * [backup-simplify]: Simplify (expm1 (- (/ (/ 1 (- f)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (/ 1 (- n)) (- (+ (/ 1 (- f)) (/ 1 (- n))))))) into (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 16.135 * [approximate]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in (f n) around 0 16.135 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.135 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.135 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.135 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 16.135 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.135 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.135 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.135 * [taylor]: Taking taylor expansion of f in n 16.136 * [backup-simplify]: Simplify f into f 16.136 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.136 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.136 * [taylor]: Taking taylor expansion of n in n 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 1 into 1 16.136 * [backup-simplify]: Simplify (/ 1 1) into 1 16.136 * [taylor]: Taking taylor expansion of n in n 16.136 * [backup-simplify]: Simplify 0 into 0 16.136 * [backup-simplify]: Simplify 1 into 1 16.136 * [backup-simplify]: Simplify (+ 0 1) into 1 16.136 * [backup-simplify]: Simplify (* 1 0) into 0 16.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.137 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.137 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.138 * [backup-simplify]: Simplify (/ 1 1) into 1 16.138 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 16.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 16.138 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.138 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.138 * [taylor]: Taking taylor expansion of f in n 16.138 * [backup-simplify]: Simplify f into f 16.138 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.138 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.138 * [taylor]: Taking taylor expansion of n in n 16.138 * [backup-simplify]: Simplify 0 into 0 16.138 * [backup-simplify]: Simplify 1 into 1 16.138 * [backup-simplify]: Simplify (/ 1 1) into 1 16.138 * [taylor]: Taking taylor expansion of f in n 16.138 * [backup-simplify]: Simplify f into f 16.138 * [backup-simplify]: Simplify (+ 0 1) into 1 16.138 * [backup-simplify]: Simplify (* 1 f) into f 16.138 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.139 * [backup-simplify]: Simplify (+ 1 0) into 1 16.139 * [backup-simplify]: Simplify (exp 1) into E 16.139 * [taylor]: Taking taylor expansion of 1 in n 16.139 * [backup-simplify]: Simplify 1 into 1 16.139 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.139 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.139 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.139 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.139 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.139 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.139 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.139 * [taylor]: Taking taylor expansion of f in f 16.139 * [backup-simplify]: Simplify 0 into 0 16.139 * [backup-simplify]: Simplify 1 into 1 16.139 * [backup-simplify]: Simplify (/ 1 1) into 1 16.139 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.139 * [taylor]: Taking taylor expansion of n in f 16.139 * [backup-simplify]: Simplify n into n 16.139 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.139 * [taylor]: Taking taylor expansion of n in f 16.139 * [backup-simplify]: Simplify n into n 16.140 * [backup-simplify]: Simplify (+ 1 0) into 1 16.140 * [backup-simplify]: Simplify (* 1 n) into n 16.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.140 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.140 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.140 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.140 * [taylor]: Taking taylor expansion of f in f 16.140 * [backup-simplify]: Simplify 0 into 0 16.140 * [backup-simplify]: Simplify 1 into 1 16.140 * [backup-simplify]: Simplify (/ 1 1) into 1 16.140 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.140 * [taylor]: Taking taylor expansion of n in f 16.140 * [backup-simplify]: Simplify n into n 16.140 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.140 * [taylor]: Taking taylor expansion of f in f 16.140 * [backup-simplify]: Simplify 0 into 0 16.140 * [backup-simplify]: Simplify 1 into 1 16.141 * [backup-simplify]: Simplify (+ 1 0) into 1 16.141 * [backup-simplify]: Simplify (* 1 0) into 0 16.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.142 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.142 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.142 * [backup-simplify]: Simplify (/ 1 1) into 1 16.143 * [backup-simplify]: Simplify (- 1) into -1 16.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.143 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.143 * [taylor]: Taking taylor expansion of 1 in f 16.144 * [backup-simplify]: Simplify 1 into 1 16.144 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.144 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.144 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.144 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.144 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.144 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.144 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.144 * [taylor]: Taking taylor expansion of f in f 16.144 * [backup-simplify]: Simplify 0 into 0 16.144 * [backup-simplify]: Simplify 1 into 1 16.144 * [backup-simplify]: Simplify (/ 1 1) into 1 16.145 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.145 * [taylor]: Taking taylor expansion of n in f 16.145 * [backup-simplify]: Simplify n into n 16.145 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.145 * [taylor]: Taking taylor expansion of n in f 16.145 * [backup-simplify]: Simplify n into n 16.145 * [backup-simplify]: Simplify (+ 1 0) into 1 16.145 * [backup-simplify]: Simplify (* 1 n) into n 16.145 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.145 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.145 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.145 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.145 * [taylor]: Taking taylor expansion of f in f 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify 1 into 1 16.146 * [backup-simplify]: Simplify (/ 1 1) into 1 16.146 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.146 * [taylor]: Taking taylor expansion of n in f 16.146 * [backup-simplify]: Simplify n into n 16.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.146 * [taylor]: Taking taylor expansion of f in f 16.146 * [backup-simplify]: Simplify 0 into 0 16.146 * [backup-simplify]: Simplify 1 into 1 16.147 * [backup-simplify]: Simplify (+ 1 0) into 1 16.147 * [backup-simplify]: Simplify (* 1 0) into 0 16.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.148 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.148 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.149 * [backup-simplify]: Simplify (/ 1 1) into 1 16.149 * [backup-simplify]: Simplify (- 1) into -1 16.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.150 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.150 * [taylor]: Taking taylor expansion of 1 in f 16.150 * [backup-simplify]: Simplify 1 into 1 16.150 * [backup-simplify]: Simplify (- 1) into -1 16.151 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.151 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 16.151 * [taylor]: Taking taylor expansion of (exp -1) in n 16.151 * [taylor]: Taking taylor expansion of -1 in n 16.151 * [backup-simplify]: Simplify -1 into -1 16.152 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.152 * [taylor]: Taking taylor expansion of 1 in n 16.152 * [backup-simplify]: Simplify 1 into 1 16.152 * [backup-simplify]: Simplify (- 1) into -1 16.153 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.154 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 16.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.155 * [backup-simplify]: Simplify (+ 0 0) into 0 16.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 16.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 16.156 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 16.157 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 16.157 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 16.158 * [backup-simplify]: Simplify (- 0) into 0 16.158 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 16.158 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 16.158 * [taylor]: Taking taylor expansion of 2 in n 16.158 * [backup-simplify]: Simplify 2 into 2 16.158 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 16.158 * [taylor]: Taking taylor expansion of (exp -1) in n 16.158 * [taylor]: Taking taylor expansion of -1 in n 16.158 * [backup-simplify]: Simplify -1 into -1 16.159 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.159 * [taylor]: Taking taylor expansion of n in n 16.159 * [backup-simplify]: Simplify 0 into 0 16.159 * [backup-simplify]: Simplify 1 into 1 16.160 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 16.161 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 16.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 16.162 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 16.162 * [backup-simplify]: Simplify 0 into 0 16.164 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 16.164 * [backup-simplify]: Simplify (- 0) into 0 16.164 * [backup-simplify]: Simplify (+ 0 0) into 0 16.164 * [backup-simplify]: Simplify 0 into 0 16.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.165 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.165 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 16.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.167 * [backup-simplify]: Simplify (+ 0 0) into 0 16.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 16.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 16.168 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.168 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 16.169 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 16.169 * [backup-simplify]: Simplify (- 0) into 0 16.169 * [backup-simplify]: Simplify (+ 0 0) into 0 16.169 * [taylor]: Taking taylor expansion of 0 in n 16.169 * [backup-simplify]: Simplify 0 into 0 16.169 * [backup-simplify]: Simplify 0 into 0 16.170 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.172 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 16.172 * [backup-simplify]: Simplify 0 into 0 16.173 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.173 * [backup-simplify]: Simplify (- 0) into 0 16.173 * [backup-simplify]: Simplify (+ 0 0) into 0 16.173 * [backup-simplify]: Simplify 0 into 0 16.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.174 * [backup-simplify]: Simplify (+ 0 0) into 0 16.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 16.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.176 * [backup-simplify]: Simplify (+ 0 0) into 0 16.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 16.177 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 16.178 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 16.178 * [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))) 16.179 * [backup-simplify]: Simplify (- 0) into 0 16.179 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 16.179 * [taylor]: Taking taylor expansion of (- (* 2/3 (/ (exp -1) (pow n 3)))) in n 16.179 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 16.179 * [taylor]: Taking taylor expansion of 2/3 in n 16.179 * [backup-simplify]: Simplify 2/3 into 2/3 16.179 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 16.179 * [taylor]: Taking taylor expansion of (exp -1) in n 16.179 * [taylor]: Taking taylor expansion of -1 in n 16.179 * [backup-simplify]: Simplify -1 into -1 16.180 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.180 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.180 * [taylor]: Taking taylor expansion of n in n 16.180 * [backup-simplify]: Simplify 0 into 0 16.180 * [backup-simplify]: Simplify 1 into 1 16.180 * [backup-simplify]: Simplify (* 1 1) into 1 16.180 * [backup-simplify]: Simplify (* 1 1) into 1 16.181 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 16.182 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.185 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 16.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 16.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.187 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.189 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 16.190 * [backup-simplify]: Simplify (- 0) into 0 16.190 * [backup-simplify]: Simplify 0 into 0 16.190 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 16.190 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 16.190 * [backup-simplify]: Simplify (- (/ f (- (+ f n))) (/ n (- (+ f n)))) into (- (/ n (+ n f)) (/ f (+ n f))) 16.190 * [approximate]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in (f n) around 0 16.190 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in n 16.190 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 16.190 * [taylor]: Taking taylor expansion of n in n 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [taylor]: Taking taylor expansion of (+ n f) in n 16.191 * [taylor]: Taking taylor expansion of n in n 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [taylor]: Taking taylor expansion of f in n 16.191 * [backup-simplify]: Simplify f into f 16.191 * [backup-simplify]: Simplify (+ 0 f) into f 16.191 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.191 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 16.191 * [taylor]: Taking taylor expansion of f in n 16.191 * [backup-simplify]: Simplify f into f 16.191 * [taylor]: Taking taylor expansion of (+ n f) in n 16.191 * [taylor]: Taking taylor expansion of n in n 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [taylor]: Taking taylor expansion of f in n 16.191 * [backup-simplify]: Simplify f into f 16.191 * [backup-simplify]: Simplify (+ 0 f) into f 16.191 * [backup-simplify]: Simplify (/ f f) into 1 16.191 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 16.191 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.191 * [taylor]: Taking taylor expansion of n in f 16.191 * [backup-simplify]: Simplify n into n 16.191 * [taylor]: Taking taylor expansion of (+ n f) in f 16.191 * [taylor]: Taking taylor expansion of n in f 16.191 * [backup-simplify]: Simplify n into n 16.191 * [taylor]: Taking taylor expansion of f in f 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [backup-simplify]: Simplify (+ n 0) into n 16.191 * [backup-simplify]: Simplify (/ n n) into 1 16.191 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 16.191 * [taylor]: Taking taylor expansion of f in f 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [taylor]: Taking taylor expansion of (+ n f) in f 16.191 * [taylor]: Taking taylor expansion of n in f 16.191 * [backup-simplify]: Simplify n into n 16.191 * [taylor]: Taking taylor expansion of f in f 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [backup-simplify]: Simplify (+ n 0) into n 16.191 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.191 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 16.191 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.191 * [taylor]: Taking taylor expansion of n in f 16.191 * [backup-simplify]: Simplify n into n 16.191 * [taylor]: Taking taylor expansion of (+ n f) in f 16.191 * [taylor]: Taking taylor expansion of n in f 16.192 * [backup-simplify]: Simplify n into n 16.192 * [taylor]: Taking taylor expansion of f in f 16.192 * [backup-simplify]: Simplify 0 into 0 16.192 * [backup-simplify]: Simplify 1 into 1 16.192 * [backup-simplify]: Simplify (+ n 0) into n 16.192 * [backup-simplify]: Simplify (/ n n) into 1 16.192 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 16.192 * [taylor]: Taking taylor expansion of f in f 16.192 * [backup-simplify]: Simplify 0 into 0 16.192 * [backup-simplify]: Simplify 1 into 1 16.192 * [taylor]: Taking taylor expansion of (+ n f) in f 16.192 * [taylor]: Taking taylor expansion of n in f 16.192 * [backup-simplify]: Simplify n into n 16.192 * [taylor]: Taking taylor expansion of f in f 16.192 * [backup-simplify]: Simplify 0 into 0 16.192 * [backup-simplify]: Simplify 1 into 1 16.192 * [backup-simplify]: Simplify (+ n 0) into n 16.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.192 * [backup-simplify]: Simplify (+ 1 0) into 1 16.192 * [taylor]: Taking taylor expansion of 1 in n 16.192 * [backup-simplify]: Simplify 1 into 1 16.192 * [backup-simplify]: Simplify 1 into 1 16.193 * [backup-simplify]: Simplify (+ 0 1) into 1 16.193 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 16.193 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 16.193 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 16.193 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 16.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.193 * [taylor]: Taking taylor expansion of 2 in n 16.193 * [backup-simplify]: Simplify 2 into 2 16.193 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.193 * [taylor]: Taking taylor expansion of n in n 16.193 * [backup-simplify]: Simplify 0 into 0 16.193 * [backup-simplify]: Simplify 1 into 1 16.194 * [backup-simplify]: Simplify (/ 1 1) into 1 16.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.195 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.195 * [backup-simplify]: Simplify (- 0) into 0 16.195 * [backup-simplify]: Simplify 0 into 0 16.195 * [backup-simplify]: Simplify 0 into 0 16.196 * [backup-simplify]: Simplify (+ 0 0) into 0 16.196 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 16.196 * [backup-simplify]: Simplify (+ 0 1) into 1 16.197 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.197 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 16.197 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 16.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 16.197 * [taylor]: Taking taylor expansion of 2 in n 16.197 * [backup-simplify]: Simplify 2 into 2 16.197 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.197 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.197 * [taylor]: Taking taylor expansion of n in n 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 1 into 1 16.198 * [backup-simplify]: Simplify (* 1 1) into 1 16.198 * [backup-simplify]: Simplify (/ 1 1) into 1 16.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.202 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.205 * [backup-simplify]: Simplify (- 0) into 0 16.205 * [backup-simplify]: Simplify 0 into 0 16.205 * [backup-simplify]: Simplify 0 into 0 16.205 * [backup-simplify]: Simplify (+ 0 0) into 0 16.206 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 16.206 * [backup-simplify]: Simplify (+ 0 0) into 0 16.206 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.207 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 16.207 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 16.207 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 16.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 16.207 * [taylor]: Taking taylor expansion of 2 in n 16.207 * [backup-simplify]: Simplify 2 into 2 16.207 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 16.207 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.207 * [taylor]: Taking taylor expansion of n in n 16.207 * [backup-simplify]: Simplify 0 into 0 16.207 * [backup-simplify]: Simplify 1 into 1 16.208 * [backup-simplify]: Simplify (* 1 1) into 1 16.208 * [backup-simplify]: Simplify (* 1 1) into 1 16.209 * [backup-simplify]: Simplify (/ 1 1) into 1 16.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.218 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.218 * [backup-simplify]: Simplify (- 0) into 0 16.218 * [backup-simplify]: Simplify 0 into 0 16.218 * [backup-simplify]: Simplify 1 into 1 16.219 * [backup-simplify]: Simplify (- (/ (/ 1 f) (- (+ (/ 1 f) (/ 1 n)))) (/ (/ 1 n) (- (+ (/ 1 f) (/ 1 n))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) 16.219 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in (f n) around 0 16.219 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 16.219 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.219 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.219 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.219 * [taylor]: Taking taylor expansion of f in n 16.219 * [backup-simplify]: Simplify f into f 16.219 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.219 * [taylor]: Taking taylor expansion of n in n 16.219 * [backup-simplify]: Simplify 0 into 0 16.219 * [backup-simplify]: Simplify 1 into 1 16.220 * [backup-simplify]: Simplify (/ 1 1) into 1 16.220 * [taylor]: Taking taylor expansion of n in n 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify 1 into 1 16.220 * [backup-simplify]: Simplify (+ 0 1) into 1 16.221 * [backup-simplify]: Simplify (* 1 0) into 0 16.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.221 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.222 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.222 * [backup-simplify]: Simplify (/ 1 1) into 1 16.222 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 16.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 16.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.222 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.222 * [taylor]: Taking taylor expansion of f in n 16.222 * [backup-simplify]: Simplify f into f 16.222 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.222 * [taylor]: Taking taylor expansion of n in n 16.222 * [backup-simplify]: Simplify 0 into 0 16.223 * [backup-simplify]: Simplify 1 into 1 16.223 * [backup-simplify]: Simplify (/ 1 1) into 1 16.223 * [taylor]: Taking taylor expansion of f in n 16.223 * [backup-simplify]: Simplify f into f 16.223 * [backup-simplify]: Simplify (+ 0 1) into 1 16.223 * [backup-simplify]: Simplify (* 1 f) into f 16.223 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.223 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.224 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.224 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.224 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.224 * [taylor]: Taking taylor expansion of f in f 16.224 * [backup-simplify]: Simplify 0 into 0 16.224 * [backup-simplify]: Simplify 1 into 1 16.224 * [backup-simplify]: Simplify (/ 1 1) into 1 16.224 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.224 * [taylor]: Taking taylor expansion of n in f 16.224 * [backup-simplify]: Simplify n into n 16.224 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.224 * [taylor]: Taking taylor expansion of n in f 16.224 * [backup-simplify]: Simplify n into n 16.225 * [backup-simplify]: Simplify (+ 1 0) into 1 16.225 * [backup-simplify]: Simplify (* 1 n) into n 16.225 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.225 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.225 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.225 * [taylor]: Taking taylor expansion of f in f 16.225 * [backup-simplify]: Simplify 0 into 0 16.225 * [backup-simplify]: Simplify 1 into 1 16.225 * [backup-simplify]: Simplify (/ 1 1) into 1 16.225 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.225 * [taylor]: Taking taylor expansion of n in f 16.225 * [backup-simplify]: Simplify n into n 16.225 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.226 * [taylor]: Taking taylor expansion of f in f 16.226 * [backup-simplify]: Simplify 0 into 0 16.226 * [backup-simplify]: Simplify 1 into 1 16.226 * [backup-simplify]: Simplify (+ 1 0) into 1 16.226 * [backup-simplify]: Simplify (* 1 0) into 0 16.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.227 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.228 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.228 * [backup-simplify]: Simplify (/ 1 1) into 1 16.228 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.228 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.228 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.228 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.228 * [taylor]: Taking taylor expansion of f in f 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 1 into 1 16.229 * [backup-simplify]: Simplify (/ 1 1) into 1 16.229 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.229 * [taylor]: Taking taylor expansion of n in f 16.229 * [backup-simplify]: Simplify n into n 16.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.229 * [taylor]: Taking taylor expansion of n in f 16.229 * [backup-simplify]: Simplify n into n 16.229 * [backup-simplify]: Simplify (+ 1 0) into 1 16.229 * [backup-simplify]: Simplify (* 1 n) into n 16.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.229 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.229 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.229 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.229 * [taylor]: Taking taylor expansion of f in f 16.229 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify 1 into 1 16.230 * [backup-simplify]: Simplify (/ 1 1) into 1 16.230 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.230 * [taylor]: Taking taylor expansion of n in f 16.230 * [backup-simplify]: Simplify n into n 16.230 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.230 * [taylor]: Taking taylor expansion of f in f 16.230 * [backup-simplify]: Simplify 0 into 0 16.230 * [backup-simplify]: Simplify 1 into 1 16.230 * [backup-simplify]: Simplify (+ 1 0) into 1 16.231 * [backup-simplify]: Simplify (* 1 0) into 0 16.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.232 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.232 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.232 * [backup-simplify]: Simplify (/ 1 1) into 1 16.233 * [backup-simplify]: Simplify (- 1) into -1 16.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.233 * [taylor]: Taking taylor expansion of -1 in n 16.233 * [backup-simplify]: Simplify -1 into -1 16.233 * [backup-simplify]: Simplify -1 into -1 16.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.239 * [backup-simplify]: Simplify (+ 0 0) into 0 16.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 16.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 16.240 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 16.241 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 16.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.241 * [taylor]: Taking taylor expansion of 2 in n 16.241 * [backup-simplify]: Simplify 2 into 2 16.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.241 * [taylor]: Taking taylor expansion of n in n 16.241 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify 1 into 1 16.241 * [backup-simplify]: Simplify (/ 1 1) into 1 16.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.243 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.244 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 16.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.246 * [backup-simplify]: Simplify (+ 0 0) into 0 16.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 16.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 16.248 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.248 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 16.248 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 16.248 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 16.248 * [taylor]: Taking taylor expansion of 2 in n 16.248 * [backup-simplify]: Simplify 2 into 2 16.248 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.248 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.248 * [taylor]: Taking taylor expansion of n in n 16.248 * [backup-simplify]: Simplify 0 into 0 16.248 * [backup-simplify]: Simplify 1 into 1 16.249 * [backup-simplify]: Simplify (* 1 1) into 1 16.249 * [backup-simplify]: Simplify (/ 1 1) into 1 16.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.254 * [backup-simplify]: Simplify (- 0) into 0 16.254 * [backup-simplify]: Simplify 0 into 0 16.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.256 * [backup-simplify]: Simplify 0 into 0 16.256 * [backup-simplify]: Simplify 0 into 0 16.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.257 * [backup-simplify]: Simplify (+ 0 0) into 0 16.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 16.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.260 * [backup-simplify]: Simplify (+ 0 0) into 0 16.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 16.262 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 16.262 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 16.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 16.263 * [taylor]: Taking taylor expansion of 2 in n 16.263 * [backup-simplify]: Simplify 2 into 2 16.263 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 16.263 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.263 * [taylor]: Taking taylor expansion of n in n 16.263 * [backup-simplify]: Simplify 0 into 0 16.263 * [backup-simplify]: Simplify 1 into 1 16.263 * [backup-simplify]: Simplify (* 1 1) into 1 16.263 * [backup-simplify]: Simplify (* 1 1) into 1 16.264 * [backup-simplify]: Simplify (/ 1 1) into 1 16.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.272 * [backup-simplify]: Simplify 0 into 0 16.272 * [backup-simplify]: Simplify -1 into -1 16.273 * [backup-simplify]: Simplify (- (/ (/ 1 (- f)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (/ 1 (- n)) (- (+ (/ 1 (- f)) (/ 1 (- n)))))) into (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) 16.273 * [approximate]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in (f n) around 0 16.273 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 16.273 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.273 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.273 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.273 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.273 * [taylor]: Taking taylor expansion of f in n 16.273 * [backup-simplify]: Simplify f into f 16.273 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.273 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.273 * [taylor]: Taking taylor expansion of n in n 16.273 * [backup-simplify]: Simplify 0 into 0 16.273 * [backup-simplify]: Simplify 1 into 1 16.274 * [backup-simplify]: Simplify (/ 1 1) into 1 16.274 * [taylor]: Taking taylor expansion of n in n 16.274 * [backup-simplify]: Simplify 0 into 0 16.274 * [backup-simplify]: Simplify 1 into 1 16.274 * [backup-simplify]: Simplify (+ 0 1) into 1 16.275 * [backup-simplify]: Simplify (* 1 0) into 0 16.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.275 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.276 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.276 * [backup-simplify]: Simplify (/ 1 1) into 1 16.276 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 16.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 16.276 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.276 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.276 * [taylor]: Taking taylor expansion of f in n 16.276 * [backup-simplify]: Simplify f into f 16.276 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.276 * [taylor]: Taking taylor expansion of n in n 16.277 * [backup-simplify]: Simplify 0 into 0 16.277 * [backup-simplify]: Simplify 1 into 1 16.277 * [backup-simplify]: Simplify (/ 1 1) into 1 16.277 * [taylor]: Taking taylor expansion of f in n 16.277 * [backup-simplify]: Simplify f into f 16.277 * [backup-simplify]: Simplify (+ 0 1) into 1 16.277 * [backup-simplify]: Simplify (* 1 f) into f 16.277 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.278 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.278 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.278 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.278 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.278 * [taylor]: Taking taylor expansion of f in f 16.278 * [backup-simplify]: Simplify 0 into 0 16.278 * [backup-simplify]: Simplify 1 into 1 16.278 * [backup-simplify]: Simplify (/ 1 1) into 1 16.278 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.278 * [taylor]: Taking taylor expansion of n in f 16.278 * [backup-simplify]: Simplify n into n 16.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.278 * [taylor]: Taking taylor expansion of n in f 16.278 * [backup-simplify]: Simplify n into n 16.279 * [backup-simplify]: Simplify (+ 1 0) into 1 16.279 * [backup-simplify]: Simplify (* 1 n) into n 16.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.279 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.279 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.279 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.279 * [taylor]: Taking taylor expansion of f in f 16.279 * [backup-simplify]: Simplify 0 into 0 16.279 * [backup-simplify]: Simplify 1 into 1 16.279 * [backup-simplify]: Simplify (/ 1 1) into 1 16.279 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.280 * [taylor]: Taking taylor expansion of n in f 16.280 * [backup-simplify]: Simplify n into n 16.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.280 * [taylor]: Taking taylor expansion of f in f 16.280 * [backup-simplify]: Simplify 0 into 0 16.280 * [backup-simplify]: Simplify 1 into 1 16.280 * [backup-simplify]: Simplify (+ 1 0) into 1 16.281 * [backup-simplify]: Simplify (* 1 0) into 0 16.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.282 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.282 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.282 * [backup-simplify]: Simplify (/ 1 1) into 1 16.282 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.282 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.282 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.283 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.283 * [taylor]: Taking taylor expansion of f in f 16.283 * [backup-simplify]: Simplify 0 into 0 16.283 * [backup-simplify]: Simplify 1 into 1 16.283 * [backup-simplify]: Simplify (/ 1 1) into 1 16.283 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.283 * [taylor]: Taking taylor expansion of n in f 16.283 * [backup-simplify]: Simplify n into n 16.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.283 * [taylor]: Taking taylor expansion of n in f 16.283 * [backup-simplify]: Simplify n into n 16.284 * [backup-simplify]: Simplify (+ 1 0) into 1 16.284 * [backup-simplify]: Simplify (* 1 n) into n 16.284 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.284 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.284 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.284 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.284 * [taylor]: Taking taylor expansion of f in f 16.284 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify 1 into 1 16.284 * [backup-simplify]: Simplify (/ 1 1) into 1 16.284 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.284 * [taylor]: Taking taylor expansion of n in f 16.284 * [backup-simplify]: Simplify n into n 16.284 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.284 * [taylor]: Taking taylor expansion of f in f 16.284 * [backup-simplify]: Simplify 0 into 0 16.284 * [backup-simplify]: Simplify 1 into 1 16.285 * [backup-simplify]: Simplify (+ 1 0) into 1 16.285 * [backup-simplify]: Simplify (* 1 0) into 0 16.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.286 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.286 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.287 * [backup-simplify]: Simplify (/ 1 1) into 1 16.287 * [backup-simplify]: Simplify (- 1) into -1 16.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.288 * [taylor]: Taking taylor expansion of -1 in n 16.288 * [backup-simplify]: Simplify -1 into -1 16.288 * [backup-simplify]: Simplify -1 into -1 16.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.289 * [backup-simplify]: Simplify (+ 0 0) into 0 16.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 16.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 16.290 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 16.290 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 16.291 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.291 * [taylor]: Taking taylor expansion of 2 in n 16.291 * [backup-simplify]: Simplify 2 into 2 16.291 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.291 * [taylor]: Taking taylor expansion of n in n 16.291 * [backup-simplify]: Simplify 0 into 0 16.291 * [backup-simplify]: Simplify 1 into 1 16.291 * [backup-simplify]: Simplify (/ 1 1) into 1 16.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.293 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify 0 into 0 16.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.294 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.294 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 16.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.296 * [backup-simplify]: Simplify (+ 0 0) into 0 16.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 16.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 16.298 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.298 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 16.298 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 16.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 16.298 * [taylor]: Taking taylor expansion of 2 in n 16.298 * [backup-simplify]: Simplify 2 into 2 16.298 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.298 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.298 * [taylor]: Taking taylor expansion of n in n 16.298 * [backup-simplify]: Simplify 0 into 0 16.298 * [backup-simplify]: Simplify 1 into 1 16.299 * [backup-simplify]: Simplify (* 1 1) into 1 16.299 * [backup-simplify]: Simplify (/ 1 1) into 1 16.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.303 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.303 * [backup-simplify]: Simplify (- 0) into 0 16.303 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.305 * [backup-simplify]: Simplify 0 into 0 16.306 * [backup-simplify]: Simplify 0 into 0 16.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.307 * [backup-simplify]: Simplify (+ 0 0) into 0 16.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 16.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.309 * [backup-simplify]: Simplify (+ 0 0) into 0 16.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 16.313 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 16.313 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 16.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 16.313 * [taylor]: Taking taylor expansion of 2 in n 16.313 * [backup-simplify]: Simplify 2 into 2 16.313 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 16.313 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.313 * [taylor]: Taking taylor expansion of n in n 16.313 * [backup-simplify]: Simplify 0 into 0 16.313 * [backup-simplify]: Simplify 1 into 1 16.313 * [backup-simplify]: Simplify (* 1 1) into 1 16.314 * [backup-simplify]: Simplify (* 1 1) into 1 16.314 * [backup-simplify]: Simplify (/ 1 1) into 1 16.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.323 * [backup-simplify]: Simplify 0 into 0 16.323 * [backup-simplify]: Simplify -1 into -1 16.323 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 16.323 * [backup-simplify]: Simplify (/ n (- (+ f n))) into (* -1 (/ n (+ n f))) 16.323 * [approximate]: Taking taylor expansion of (* -1 (/ n (+ n f))) in (n f) around 0 16.323 * [taylor]: Taking taylor expansion of (* -1 (/ n (+ n f))) in f 16.323 * [taylor]: Taking taylor expansion of -1 in f 16.323 * [backup-simplify]: Simplify -1 into -1 16.323 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.323 * [taylor]: Taking taylor expansion of n in f 16.323 * [backup-simplify]: Simplify n into n 16.323 * [taylor]: Taking taylor expansion of (+ n f) in f 16.324 * [taylor]: Taking taylor expansion of n in f 16.324 * [backup-simplify]: Simplify n into n 16.324 * [taylor]: Taking taylor expansion of f in f 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [backup-simplify]: Simplify (+ n 0) into n 16.324 * [backup-simplify]: Simplify (/ n n) into 1 16.324 * [taylor]: Taking taylor expansion of (* -1 (/ n (+ n f))) in n 16.324 * [taylor]: Taking taylor expansion of -1 in n 16.324 * [backup-simplify]: Simplify -1 into -1 16.324 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 16.324 * [taylor]: Taking taylor expansion of n in n 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [taylor]: Taking taylor expansion of (+ n f) in n 16.324 * [taylor]: Taking taylor expansion of n in n 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [taylor]: Taking taylor expansion of f in n 16.324 * [backup-simplify]: Simplify f into f 16.324 * [backup-simplify]: Simplify (+ 0 f) into f 16.324 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.324 * [taylor]: Taking taylor expansion of (* -1 (/ n (+ n f))) in n 16.324 * [taylor]: Taking taylor expansion of -1 in n 16.324 * [backup-simplify]: Simplify -1 into -1 16.324 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 16.324 * [taylor]: Taking taylor expansion of n in n 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [taylor]: Taking taylor expansion of (+ n f) in n 16.324 * [taylor]: Taking taylor expansion of n in n 16.324 * [backup-simplify]: Simplify 0 into 0 16.324 * [backup-simplify]: Simplify 1 into 1 16.324 * [taylor]: Taking taylor expansion of f in n 16.324 * [backup-simplify]: Simplify f into f 16.325 * [backup-simplify]: Simplify (+ 0 f) into f 16.325 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.325 * [backup-simplify]: Simplify (* -1 (/ 1 f)) into (/ -1 f) 16.325 * [taylor]: Taking taylor expansion of (/ -1 f) in f 16.325 * [taylor]: Taking taylor expansion of -1 in f 16.325 * [backup-simplify]: Simplify -1 into -1 16.325 * [taylor]: Taking taylor expansion of f in f 16.325 * [backup-simplify]: Simplify 0 into 0 16.325 * [backup-simplify]: Simplify 1 into 1 16.325 * [backup-simplify]: Simplify (/ -1 1) into -1 16.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.326 * [backup-simplify]: Simplify 0 into 0 16.327 * [backup-simplify]: Simplify (+ 1 0) into 1 16.327 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 1 f)))) into (- (/ 1 (pow f 2))) 16.327 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow f 2)))) (* 0 (/ 1 f))) into (/ 1 (pow f 2)) 16.327 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.327 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.327 * [taylor]: Taking taylor expansion of f in f 16.327 * [backup-simplify]: Simplify 0 into 0 16.327 * [backup-simplify]: Simplify 1 into 1 16.328 * [backup-simplify]: Simplify (* 1 1) into 1 16.328 * [backup-simplify]: Simplify (/ 1 1) into 1 16.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.331 * [backup-simplify]: Simplify 0 into 0 16.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.332 * [backup-simplify]: Simplify 0 into 0 16.333 * [backup-simplify]: Simplify (+ 0 0) into 0 16.333 * [backup-simplify]: Simplify (- (/ 0 f) (+ (* (/ 1 f) (/ 0 f)) (* (- (/ 1 (pow f 2))) (/ 1 f)))) into (/ 1 (pow f 3)) 16.334 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow f 3))) (+ (* 0 (- (/ 1 (pow f 2)))) (* 0 (/ 1 f)))) into (- (/ 1 (pow f 3))) 16.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 3))) in f 16.334 * [taylor]: Taking taylor expansion of (/ 1 (pow f 3)) in f 16.334 * [taylor]: Taking taylor expansion of (pow f 3) in f 16.334 * [taylor]: Taking taylor expansion of f in f 16.334 * [backup-simplify]: Simplify 0 into 0 16.334 * [backup-simplify]: Simplify 1 into 1 16.334 * [backup-simplify]: Simplify (* 1 1) into 1 16.335 * [backup-simplify]: Simplify (* 1 1) into 1 16.335 * [backup-simplify]: Simplify (/ 1 1) into 1 16.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.342 * [backup-simplify]: Simplify (- 0) into 0 16.342 * [backup-simplify]: Simplify 0 into 0 16.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.343 * [backup-simplify]: Simplify 0 into 0 16.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.344 * [backup-simplify]: Simplify 0 into 0 16.344 * [backup-simplify]: Simplify 0 into 0 16.344 * [backup-simplify]: Simplify (/ (/ 1 n) (- (+ (/ 1 f) (/ 1 n)))) into (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) 16.344 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 16.344 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.344 * [taylor]: Taking taylor expansion of -1 in f 16.344 * [backup-simplify]: Simplify -1 into -1 16.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.344 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.344 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.344 * [taylor]: Taking taylor expansion of f in f 16.344 * [backup-simplify]: Simplify 0 into 0 16.344 * [backup-simplify]: Simplify 1 into 1 16.345 * [backup-simplify]: Simplify (/ 1 1) into 1 16.345 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.345 * [taylor]: Taking taylor expansion of n in f 16.345 * [backup-simplify]: Simplify n into n 16.345 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.345 * [taylor]: Taking taylor expansion of n in f 16.345 * [backup-simplify]: Simplify n into n 16.345 * [backup-simplify]: Simplify (+ 1 0) into 1 16.345 * [backup-simplify]: Simplify (* 1 n) into n 16.345 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.345 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.345 * [taylor]: Taking taylor expansion of -1 in n 16.345 * [backup-simplify]: Simplify -1 into -1 16.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.345 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.345 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.345 * [taylor]: Taking taylor expansion of f in n 16.345 * [backup-simplify]: Simplify f into f 16.345 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.345 * [taylor]: Taking taylor expansion of n in n 16.345 * [backup-simplify]: Simplify 0 into 0 16.346 * [backup-simplify]: Simplify 1 into 1 16.346 * [backup-simplify]: Simplify (/ 1 1) into 1 16.346 * [taylor]: Taking taylor expansion of n in n 16.346 * [backup-simplify]: Simplify 0 into 0 16.346 * [backup-simplify]: Simplify 1 into 1 16.346 * [backup-simplify]: Simplify (+ 0 1) into 1 16.346 * [backup-simplify]: Simplify (* 1 0) into 0 16.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.347 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.347 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.347 * [backup-simplify]: Simplify (/ -1 1) into -1 16.347 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.347 * [taylor]: Taking taylor expansion of -1 in n 16.347 * [backup-simplify]: Simplify -1 into -1 16.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.347 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.347 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.348 * [taylor]: Taking taylor expansion of f in n 16.348 * [backup-simplify]: Simplify f into f 16.348 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.348 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.348 * [taylor]: Taking taylor expansion of n in n 16.348 * [backup-simplify]: Simplify 0 into 0 16.348 * [backup-simplify]: Simplify 1 into 1 16.348 * [backup-simplify]: Simplify (/ 1 1) into 1 16.348 * [taylor]: Taking taylor expansion of n in n 16.348 * [backup-simplify]: Simplify 0 into 0 16.348 * [backup-simplify]: Simplify 1 into 1 16.348 * [backup-simplify]: Simplify (+ 0 1) into 1 16.348 * [backup-simplify]: Simplify (* 1 0) into 0 16.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.349 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.349 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.350 * [backup-simplify]: Simplify (/ -1 1) into -1 16.350 * [taylor]: Taking taylor expansion of -1 in f 16.350 * [backup-simplify]: Simplify -1 into -1 16.350 * [backup-simplify]: Simplify 0 into 0 16.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 16.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.350 * [backup-simplify]: Simplify (+ 0 0) into 0 16.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 16.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 f) 1)))) into (/ 1 f) 16.351 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.351 * [taylor]: Taking taylor expansion of f in f 16.351 * [backup-simplify]: Simplify 0 into 0 16.351 * [backup-simplify]: Simplify 1 into 1 16.352 * [backup-simplify]: Simplify (/ 1 1) into 1 16.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.353 * [backup-simplify]: Simplify 0 into 0 16.353 * [backup-simplify]: Simplify 0 into 0 16.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 16.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.354 * [backup-simplify]: Simplify (+ 0 0) into 0 16.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 16.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 f) (/ (/ 1 f) 1)))) into (- (/ 1 (pow f 2))) 16.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 16.355 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.355 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.355 * [taylor]: Taking taylor expansion of f in f 16.355 * [backup-simplify]: Simplify 0 into 0 16.355 * [backup-simplify]: Simplify 1 into 1 16.355 * [backup-simplify]: Simplify (* 1 1) into 1 16.355 * [backup-simplify]: Simplify (/ 1 1) into 1 16.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.359 * [backup-simplify]: Simplify (- 0) into 0 16.359 * [backup-simplify]: Simplify 0 into 0 16.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.359 * [backup-simplify]: Simplify 0 into 0 16.359 * [backup-simplify]: Simplify 0 into 0 16.359 * [backup-simplify]: Simplify 0 into 0 16.359 * [backup-simplify]: Simplify (/ (/ 1 (- n)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) into (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) 16.360 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in (n f) around 0 16.360 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.360 * [taylor]: Taking taylor expansion of -1 in f 16.360 * [backup-simplify]: Simplify -1 into -1 16.360 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.360 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.360 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.360 * [taylor]: Taking taylor expansion of f in f 16.360 * [backup-simplify]: Simplify 0 into 0 16.360 * [backup-simplify]: Simplify 1 into 1 16.360 * [backup-simplify]: Simplify (/ 1 1) into 1 16.360 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.360 * [taylor]: Taking taylor expansion of n in f 16.360 * [backup-simplify]: Simplify n into n 16.360 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.360 * [taylor]: Taking taylor expansion of n in f 16.360 * [backup-simplify]: Simplify n into n 16.360 * [backup-simplify]: Simplify (+ 1 0) into 1 16.360 * [backup-simplify]: Simplify (* 1 n) into n 16.360 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.360 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.360 * [taylor]: Taking taylor expansion of -1 in n 16.361 * [backup-simplify]: Simplify -1 into -1 16.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.361 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.361 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.361 * [taylor]: Taking taylor expansion of f in n 16.361 * [backup-simplify]: Simplify f into f 16.361 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.361 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.361 * [taylor]: Taking taylor expansion of n in n 16.361 * [backup-simplify]: Simplify 0 into 0 16.361 * [backup-simplify]: Simplify 1 into 1 16.361 * [backup-simplify]: Simplify (/ 1 1) into 1 16.361 * [taylor]: Taking taylor expansion of n in n 16.361 * [backup-simplify]: Simplify 0 into 0 16.361 * [backup-simplify]: Simplify 1 into 1 16.361 * [backup-simplify]: Simplify (+ 0 1) into 1 16.362 * [backup-simplify]: Simplify (* 1 0) into 0 16.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.362 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.363 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.363 * [backup-simplify]: Simplify (/ -1 1) into -1 16.363 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.363 * [taylor]: Taking taylor expansion of -1 in n 16.363 * [backup-simplify]: Simplify -1 into -1 16.363 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.363 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.363 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.363 * [taylor]: Taking taylor expansion of f in n 16.363 * [backup-simplify]: Simplify f into f 16.363 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.363 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.363 * [taylor]: Taking taylor expansion of n in n 16.363 * [backup-simplify]: Simplify 0 into 0 16.363 * [backup-simplify]: Simplify 1 into 1 16.363 * [backup-simplify]: Simplify (/ 1 1) into 1 16.363 * [taylor]: Taking taylor expansion of n in n 16.364 * [backup-simplify]: Simplify 0 into 0 16.364 * [backup-simplify]: Simplify 1 into 1 16.364 * [backup-simplify]: Simplify (+ 0 1) into 1 16.364 * [backup-simplify]: Simplify (* 1 0) into 0 16.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.365 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.365 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.365 * [backup-simplify]: Simplify (/ -1 1) into -1 16.365 * [taylor]: Taking taylor expansion of -1 in f 16.365 * [backup-simplify]: Simplify -1 into -1 16.365 * [backup-simplify]: Simplify 0 into 0 16.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)))) into 0 16.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.366 * [backup-simplify]: Simplify (+ 0 0) into 0 16.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 1) (* 0 0))) into (/ 1 f) 16.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 f) 1)))) into (/ 1 f) 16.370 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.370 * [taylor]: Taking taylor expansion of f in f 16.370 * [backup-simplify]: Simplify 0 into 0 16.370 * [backup-simplify]: Simplify 1 into 1 16.370 * [backup-simplify]: Simplify (/ 1 1) into 1 16.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.371 * [backup-simplify]: Simplify 0 into 0 16.371 * [backup-simplify]: Simplify 0 into 0 16.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 f) (/ 0 f)) (* 0 (/ 0 f)))) into 0 16.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.372 * [backup-simplify]: Simplify (+ 0 0) into 0 16.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 f) 0) (+ (* 0 1) (* 0 0)))) into 0 16.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 f) (/ (/ 1 f) 1)))) into (- (/ 1 (pow f 2))) 16.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow f 2))) in f 16.374 * [taylor]: Taking taylor expansion of (/ 1 (pow f 2)) in f 16.374 * [taylor]: Taking taylor expansion of (pow f 2) in f 16.374 * [taylor]: Taking taylor expansion of f in f 16.374 * [backup-simplify]: Simplify 0 into 0 16.374 * [backup-simplify]: Simplify 1 into 1 16.374 * [backup-simplify]: Simplify (* 1 1) into 1 16.374 * [backup-simplify]: Simplify (/ 1 1) into 1 16.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.377 * [backup-simplify]: Simplify (- 0) into 0 16.377 * [backup-simplify]: Simplify 0 into 0 16.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.378 * [backup-simplify]: Simplify 0 into 0 16.378 * [backup-simplify]: Simplify 0 into 0 16.378 * [backup-simplify]: Simplify 0 into 0 16.378 * * * * [progress]: [ 4 / 4 ] generating series at (2) 16.378 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (- (/ f (- (+ f n))) (/ n (- (+ f n))))))) into (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 16.378 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in (f n) around 0 16.378 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in n 16.379 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in n 16.379 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 16.379 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in n 16.379 * [taylor]: Taking taylor expansion of 1 in n 16.379 * [backup-simplify]: Simplify 1 into 1 16.379 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in n 16.379 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 16.379 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in n 16.379 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in n 16.379 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in n 16.379 * [taylor]: Taking taylor expansion of n in n 16.379 * [backup-simplify]: Simplify 0 into 0 16.379 * [backup-simplify]: Simplify 1 into 1 16.379 * [taylor]: Taking taylor expansion of (+ n f) in n 16.379 * [taylor]: Taking taylor expansion of n in n 16.379 * [backup-simplify]: Simplify 0 into 0 16.379 * [backup-simplify]: Simplify 1 into 1 16.379 * [taylor]: Taking taylor expansion of f in n 16.379 * [backup-simplify]: Simplify f into f 16.379 * [backup-simplify]: Simplify (+ 0 f) into f 16.379 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.379 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in n 16.379 * [taylor]: Taking taylor expansion of f in n 16.379 * [backup-simplify]: Simplify f into f 16.379 * [taylor]: Taking taylor expansion of (+ n f) in n 16.379 * [taylor]: Taking taylor expansion of n in n 16.379 * [backup-simplify]: Simplify 0 into 0 16.379 * [backup-simplify]: Simplify 1 into 1 16.379 * [taylor]: Taking taylor expansion of f in n 16.379 * [backup-simplify]: Simplify f into f 16.379 * [backup-simplify]: Simplify (+ 0 f) into f 16.379 * [backup-simplify]: Simplify (/ f f) into 1 16.380 * [backup-simplify]: Simplify (- 1) into -1 16.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.380 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.380 * [taylor]: Taking taylor expansion of 1 in n 16.380 * [backup-simplify]: Simplify 1 into 1 16.380 * [backup-simplify]: Simplify (- 1) into -1 16.381 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.382 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 16.383 * [backup-simplify]: Simplify (log (exp -1)) into -1 16.384 * [backup-simplify]: Simplify (/ 1 -1) into -1 16.384 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in f 16.384 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 16.384 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 16.384 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 16.384 * [taylor]: Taking taylor expansion of 1 in f 16.384 * [backup-simplify]: Simplify 1 into 1 16.384 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.384 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 16.384 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.384 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 16.384 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.384 * [taylor]: Taking taylor expansion of n in f 16.384 * [backup-simplify]: Simplify n into n 16.384 * [taylor]: Taking taylor expansion of (+ n f) in f 16.384 * [taylor]: Taking taylor expansion of n in f 16.384 * [backup-simplify]: Simplify n into n 16.384 * [taylor]: Taking taylor expansion of f in f 16.384 * [backup-simplify]: Simplify 0 into 0 16.384 * [backup-simplify]: Simplify 1 into 1 16.384 * [backup-simplify]: Simplify (+ n 0) into n 16.384 * [backup-simplify]: Simplify (/ n n) into 1 16.384 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 16.384 * [taylor]: Taking taylor expansion of f in f 16.384 * [backup-simplify]: Simplify 0 into 0 16.384 * [backup-simplify]: Simplify 1 into 1 16.385 * [taylor]: Taking taylor expansion of (+ n f) in f 16.385 * [taylor]: Taking taylor expansion of n in f 16.385 * [backup-simplify]: Simplify n into n 16.385 * [taylor]: Taking taylor expansion of f in f 16.385 * [backup-simplify]: Simplify 0 into 0 16.385 * [backup-simplify]: Simplify 1 into 1 16.385 * [backup-simplify]: Simplify (+ n 0) into n 16.385 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.385 * [backup-simplify]: Simplify (+ 1 0) into 1 16.385 * [backup-simplify]: Simplify (exp 1) into E 16.385 * [taylor]: Taking taylor expansion of 1 in f 16.385 * [backup-simplify]: Simplify 1 into 1 16.386 * [backup-simplify]: Simplify (- 1) into -1 16.386 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 16.387 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 16.387 * [backup-simplify]: Simplify (log E) into 1 16.388 * [backup-simplify]: Simplify (/ 1 1) into 1 16.388 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) in f 16.388 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 16.388 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f)))))) 16.388 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ n (+ n f)) (/ f (+ n f))))) in f 16.388 * [taylor]: Taking taylor expansion of 1 in f 16.388 * [backup-simplify]: Simplify 1 into 1 16.388 * [taylor]: Taking taylor expansion of (expm1 (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.388 * [taylor]: Rewrote expression to (- (exp (- (/ n (+ n f)) (/ f (+ n f)))) 1) 16.388 * [taylor]: Taking taylor expansion of (exp (- (/ n (+ n f)) (/ f (+ n f)))) in f 16.388 * [taylor]: Taking taylor expansion of (- (/ n (+ n f)) (/ f (+ n f))) in f 16.388 * [taylor]: Taking taylor expansion of (/ n (+ n f)) in f 16.388 * [taylor]: Taking taylor expansion of n in f 16.388 * [backup-simplify]: Simplify n into n 16.388 * [taylor]: Taking taylor expansion of (+ n f) in f 16.388 * [taylor]: Taking taylor expansion of n in f 16.388 * [backup-simplify]: Simplify n into n 16.388 * [taylor]: Taking taylor expansion of f in f 16.388 * [backup-simplify]: Simplify 0 into 0 16.388 * [backup-simplify]: Simplify 1 into 1 16.388 * [backup-simplify]: Simplify (+ n 0) into n 16.388 * [backup-simplify]: Simplify (/ n n) into 1 16.389 * [taylor]: Taking taylor expansion of (/ f (+ n f)) in f 16.389 * [taylor]: Taking taylor expansion of f in f 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 1 into 1 16.389 * [taylor]: Taking taylor expansion of (+ n f) in f 16.389 * [taylor]: Taking taylor expansion of n in f 16.389 * [backup-simplify]: Simplify n into n 16.389 * [taylor]: Taking taylor expansion of f in f 16.389 * [backup-simplify]: Simplify 0 into 0 16.389 * [backup-simplify]: Simplify 1 into 1 16.389 * [backup-simplify]: Simplify (+ n 0) into n 16.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.389 * [backup-simplify]: Simplify (+ 1 0) into 1 16.389 * [backup-simplify]: Simplify (exp 1) into E 16.389 * [taylor]: Taking taylor expansion of 1 in f 16.389 * [backup-simplify]: Simplify 1 into 1 16.390 * [backup-simplify]: Simplify (- 1) into -1 16.390 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 16.391 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 16.391 * [backup-simplify]: Simplify (log E) into 1 16.392 * [backup-simplify]: Simplify (/ 1 1) into 1 16.392 * [taylor]: Taking taylor expansion of 1 in n 16.392 * [backup-simplify]: Simplify 1 into 1 16.392 * [backup-simplify]: Simplify 1 into 1 16.392 * [backup-simplify]: Simplify (+ 0 1) into 1 16.393 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 1 n)))) into (- (/ 1 n)) 16.393 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 16.393 * [backup-simplify]: Simplify (+ (- (/ 1 n)) (- (/ 1 n))) into (- (* 2 (/ 1 n))) 16.393 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ E n)) 16.394 * [backup-simplify]: Simplify (- 0) into 0 16.394 * [backup-simplify]: Simplify (+ (* -2 (/ E n)) 0) into (- (* 2 (/ E n))) 16.394 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ E n)))) into (- (* 2 (/ E n))) 16.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1)) (pow E 1)))) 1) into (/ -2 n) 16.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 n) 1)))) into (* 2 (/ 1 n)) 16.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.395 * [taylor]: Taking taylor expansion of 2 in n 16.395 * [backup-simplify]: Simplify 2 into 2 16.395 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.395 * [taylor]: Taking taylor expansion of n in n 16.395 * [backup-simplify]: Simplify 0 into 0 16.395 * [backup-simplify]: Simplify 1 into 1 16.395 * [backup-simplify]: Simplify (/ 1 1) into 1 16.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.397 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.397 * [backup-simplify]: Simplify 0 into 0 16.397 * [backup-simplify]: Simplify 0 into 0 16.397 * [backup-simplify]: Simplify (+ 0 0) into 0 16.398 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 1 n)))) into (/ 1 (pow n 2)) 16.398 * [backup-simplify]: Simplify (+ 0 1) into 1 16.398 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.399 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 2)))) into (/ 1 (pow n 2)) 16.399 * [backup-simplify]: Simplify (+ (/ 1 (pow n 2)) (/ 1 (pow n 2))) into (* 2 (/ 1 (pow n 2))) 16.399 * [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))) 16.400 * [backup-simplify]: Simplify (- 0) into 0 16.400 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 16.400 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 16.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 16.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 n)) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 2))) 16.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 16.403 * [taylor]: Taking taylor expansion of 2 in n 16.403 * [backup-simplify]: Simplify 2 into 2 16.403 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.403 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.403 * [taylor]: Taking taylor expansion of n in n 16.403 * [backup-simplify]: Simplify 0 into 0 16.403 * [backup-simplify]: Simplify 1 into 1 16.403 * [backup-simplify]: Simplify (* 1 1) into 1 16.403 * [backup-simplify]: Simplify (/ 1 1) into 1 16.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.407 * [backup-simplify]: Simplify 0 into 0 16.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.409 * [backup-simplify]: Simplify 0 into 0 16.409 * [backup-simplify]: Simplify 0 into 0 16.410 * [backup-simplify]: Simplify (+ 0 0) into 0 16.410 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* 1 (/ 0 n)) (* (- (/ 1 n)) (/ 0 n)) (* (/ 1 (pow n 2)) (/ 1 n)))) into (- (/ 1 (pow n 3))) 16.411 * [backup-simplify]: Simplify (+ 0 0) into 0 16.411 * [backup-simplify]: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.411 * [backup-simplify]: Simplify (- (/ 1 (pow n 3))) into (- (/ 1 (pow n 3))) 16.412 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 3))) (- (/ 1 (pow n 3)))) into (- (* 2 (/ 1 (pow n 3)))) 16.413 * [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))) 16.413 * [backup-simplify]: Simplify (- 0) into 0 16.414 * [backup-simplify]: Simplify (+ (* -22/3 (/ E (pow n 3))) 0) into (- (* 22/3 (/ E (pow n 3)))) 16.414 * [backup-simplify]: Simplify (+ 0 (- (* 22/3 (/ E (pow n 3))))) into (- (* 22/3 (/ E (pow n 3)))) 16.417 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ E n)))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 22/3 (/ E (pow n 3))))) 1)) (pow E 1)))) 6) into (/ -2 (pow n 3)) 16.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ -2 (pow n 3)) 1)) (* (* 2 (/ 1 n)) (/ (/ 2 (pow n 2)) 1)) (* (* 2 (/ 1 (pow n 2))) (/ (/ -2 n) 1)))) into (* 2 (/ 1 (pow n 3))) 16.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 16.418 * [taylor]: Taking taylor expansion of 2 in n 16.418 * [backup-simplify]: Simplify 2 into 2 16.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 16.418 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.418 * [taylor]: Taking taylor expansion of n in n 16.418 * [backup-simplify]: Simplify 0 into 0 16.418 * [backup-simplify]: Simplify 1 into 1 16.418 * [backup-simplify]: Simplify (* 1 1) into 1 16.419 * [backup-simplify]: Simplify (* 1 1) into 1 16.419 * [backup-simplify]: Simplify (/ 1 1) into 1 16.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.427 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.428 * [backup-simplify]: Simplify 0 into 0 16.428 * [backup-simplify]: Simplify 1 into 1 16.428 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (- (/ (/ 1 f) (- (+ (/ 1 f) (/ 1 n)))) (/ (/ 1 n) (- (+ (/ 1 f) (/ 1 n)))))))) into (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.428 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in (f n) around 0 16.428 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in n 16.428 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 16.429 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.429 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 16.429 * [taylor]: Taking taylor expansion of 1 in n 16.429 * [backup-simplify]: Simplify 1 into 1 16.429 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.429 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.429 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.429 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 16.429 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.429 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.429 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.429 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.429 * [taylor]: Taking taylor expansion of f in n 16.429 * [backup-simplify]: Simplify f into f 16.429 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.429 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.429 * [taylor]: Taking taylor expansion of n in n 16.429 * [backup-simplify]: Simplify 0 into 0 16.429 * [backup-simplify]: Simplify 1 into 1 16.430 * [backup-simplify]: Simplify (/ 1 1) into 1 16.430 * [taylor]: Taking taylor expansion of n in n 16.430 * [backup-simplify]: Simplify 0 into 0 16.430 * [backup-simplify]: Simplify 1 into 1 16.430 * [backup-simplify]: Simplify (+ 0 1) into 1 16.431 * [backup-simplify]: Simplify (* 1 0) into 0 16.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.432 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.432 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.432 * [backup-simplify]: Simplify (/ 1 1) into 1 16.432 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 16.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 16.433 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.433 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.433 * [taylor]: Taking taylor expansion of f in n 16.433 * [backup-simplify]: Simplify f into f 16.433 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.433 * [taylor]: Taking taylor expansion of n in n 16.433 * [backup-simplify]: Simplify 0 into 0 16.433 * [backup-simplify]: Simplify 1 into 1 16.433 * [backup-simplify]: Simplify (/ 1 1) into 1 16.433 * [taylor]: Taking taylor expansion of f in n 16.433 * [backup-simplify]: Simplify f into f 16.434 * [backup-simplify]: Simplify (+ 0 1) into 1 16.434 * [backup-simplify]: Simplify (* 1 f) into f 16.434 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.434 * [backup-simplify]: Simplify (+ 1 0) into 1 16.434 * [backup-simplify]: Simplify (exp 1) into E 16.434 * [taylor]: Taking taylor expansion of 1 in n 16.434 * [backup-simplify]: Simplify 1 into 1 16.435 * [backup-simplify]: Simplify (- 1) into -1 16.435 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 16.436 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 16.436 * [backup-simplify]: Simplify (log E) into 1 16.436 * [backup-simplify]: Simplify (/ 1 1) into 1 16.436 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 16.436 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.437 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.437 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.437 * [taylor]: Taking taylor expansion of 1 in f 16.437 * [backup-simplify]: Simplify 1 into 1 16.437 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.437 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.437 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.437 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.437 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.437 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.437 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.437 * [taylor]: Taking taylor expansion of f in f 16.437 * [backup-simplify]: Simplify 0 into 0 16.437 * [backup-simplify]: Simplify 1 into 1 16.438 * [backup-simplify]: Simplify (/ 1 1) into 1 16.438 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.438 * [taylor]: Taking taylor expansion of n in f 16.438 * [backup-simplify]: Simplify n into n 16.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.438 * [taylor]: Taking taylor expansion of n in f 16.438 * [backup-simplify]: Simplify n into n 16.438 * [backup-simplify]: Simplify (+ 1 0) into 1 16.438 * [backup-simplify]: Simplify (* 1 n) into n 16.438 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.438 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.439 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.439 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.439 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.439 * [taylor]: Taking taylor expansion of f in f 16.439 * [backup-simplify]: Simplify 0 into 0 16.439 * [backup-simplify]: Simplify 1 into 1 16.439 * [backup-simplify]: Simplify (/ 1 1) into 1 16.439 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.439 * [taylor]: Taking taylor expansion of n in f 16.439 * [backup-simplify]: Simplify n into n 16.439 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.439 * [taylor]: Taking taylor expansion of f in f 16.439 * [backup-simplify]: Simplify 0 into 0 16.439 * [backup-simplify]: Simplify 1 into 1 16.440 * [backup-simplify]: Simplify (+ 1 0) into 1 16.440 * [backup-simplify]: Simplify (* 1 0) into 0 16.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.441 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.442 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.442 * [backup-simplify]: Simplify (/ 1 1) into 1 16.442 * [backup-simplify]: Simplify (- 1) into -1 16.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.443 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.443 * [taylor]: Taking taylor expansion of 1 in f 16.443 * [backup-simplify]: Simplify 1 into 1 16.444 * [backup-simplify]: Simplify (- 1) into -1 16.444 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.446 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 16.447 * [backup-simplify]: Simplify (log (exp -1)) into -1 16.447 * [backup-simplify]: Simplify (/ 1 -1) into -1 16.447 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 16.448 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.448 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.448 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.448 * [taylor]: Taking taylor expansion of 1 in f 16.448 * [backup-simplify]: Simplify 1 into 1 16.448 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.448 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.448 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.448 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.448 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.448 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.448 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.448 * [taylor]: Taking taylor expansion of f in f 16.448 * [backup-simplify]: Simplify 0 into 0 16.448 * [backup-simplify]: Simplify 1 into 1 16.448 * [backup-simplify]: Simplify (/ 1 1) into 1 16.449 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.449 * [taylor]: Taking taylor expansion of n in f 16.449 * [backup-simplify]: Simplify n into n 16.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.449 * [taylor]: Taking taylor expansion of n in f 16.449 * [backup-simplify]: Simplify n into n 16.449 * [backup-simplify]: Simplify (+ 1 0) into 1 16.449 * [backup-simplify]: Simplify (* 1 n) into n 16.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.449 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.449 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.449 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.449 * [taylor]: Taking taylor expansion of f in f 16.449 * [backup-simplify]: Simplify 0 into 0 16.450 * [backup-simplify]: Simplify 1 into 1 16.450 * [backup-simplify]: Simplify (/ 1 1) into 1 16.450 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.450 * [taylor]: Taking taylor expansion of n in f 16.450 * [backup-simplify]: Simplify n into n 16.450 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.450 * [taylor]: Taking taylor expansion of f in f 16.450 * [backup-simplify]: Simplify 0 into 0 16.450 * [backup-simplify]: Simplify 1 into 1 16.451 * [backup-simplify]: Simplify (+ 1 0) into 1 16.451 * [backup-simplify]: Simplify (* 1 0) into 0 16.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.452 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.452 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.453 * [backup-simplify]: Simplify (/ 1 1) into 1 16.453 * [backup-simplify]: Simplify (- 1) into -1 16.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.454 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.454 * [taylor]: Taking taylor expansion of 1 in f 16.454 * [backup-simplify]: Simplify 1 into 1 16.454 * [backup-simplify]: Simplify (- 1) into -1 16.455 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.457 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 16.458 * [backup-simplify]: Simplify (log (exp -1)) into -1 16.458 * [backup-simplify]: Simplify (/ 1 -1) into -1 16.458 * [taylor]: Taking taylor expansion of -1 in n 16.458 * [backup-simplify]: Simplify -1 into -1 16.458 * [backup-simplify]: Simplify -1 into -1 16.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.459 * [backup-simplify]: Simplify (+ 0 0) into 0 16.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 16.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 16.460 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 16.460 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 16.460 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 16.460 * [backup-simplify]: Simplify (- 0) into 0 16.461 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 16.461 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 16.462 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 16.462 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 16.462 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 16.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.462 * [taylor]: Taking taylor expansion of 2 in n 16.462 * [backup-simplify]: Simplify 2 into 2 16.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.462 * [taylor]: Taking taylor expansion of n in n 16.462 * [backup-simplify]: Simplify 0 into 0 16.462 * [backup-simplify]: Simplify 1 into 1 16.463 * [backup-simplify]: Simplify (/ 1 1) into 1 16.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.463 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.464 * [backup-simplify]: Simplify (- 0) into 0 16.464 * [backup-simplify]: Simplify 0 into 0 16.464 * [backup-simplify]: Simplify 0 into 0 16.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.464 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.465 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 16.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.466 * [backup-simplify]: Simplify (+ 0 0) into 0 16.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 16.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 16.467 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.467 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 16.468 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 16.468 * [backup-simplify]: Simplify (- 0) into 0 16.468 * [backup-simplify]: Simplify (+ 0 0) into 0 16.468 * [backup-simplify]: Simplify (+ 0 0) into 0 16.470 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 16.471 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 16.471 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 16.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 16.471 * [taylor]: Taking taylor expansion of 2 in n 16.471 * [backup-simplify]: Simplify 2 into 2 16.471 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.471 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.471 * [taylor]: Taking taylor expansion of n in n 16.471 * [backup-simplify]: Simplify 0 into 0 16.471 * [backup-simplify]: Simplify 1 into 1 16.471 * [backup-simplify]: Simplify (* 1 1) into 1 16.471 * [backup-simplify]: Simplify (/ 1 1) into 1 16.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.474 * [backup-simplify]: Simplify (- 0) into 0 16.474 * [backup-simplify]: Simplify 0 into 0 16.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.476 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.476 * [backup-simplify]: Simplify (- 0) into 0 16.476 * [backup-simplify]: Simplify 0 into 0 16.476 * [backup-simplify]: Simplify 0 into 0 16.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.477 * [backup-simplify]: Simplify (+ 0 0) into 0 16.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 16.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.479 * [backup-simplify]: Simplify (+ 0 0) into 0 16.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 16.480 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 16.481 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 16.482 * [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))) 16.482 * [backup-simplify]: Simplify (- 0) into 0 16.482 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 16.483 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 16.486 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 16.487 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 16.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 16.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 16.487 * [taylor]: Taking taylor expansion of 2 in n 16.487 * [backup-simplify]: Simplify 2 into 2 16.487 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 16.487 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.487 * [taylor]: Taking taylor expansion of n in n 16.487 * [backup-simplify]: Simplify 0 into 0 16.487 * [backup-simplify]: Simplify 1 into 1 16.487 * [backup-simplify]: Simplify (* 1 1) into 1 16.488 * [backup-simplify]: Simplify (* 1 1) into 1 16.488 * [backup-simplify]: Simplify (/ 1 1) into 1 16.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.501 * [backup-simplify]: Simplify (- 0) into 0 16.502 * [backup-simplify]: Simplify 0 into 0 16.502 * [backup-simplify]: Simplify -1 into -1 16.503 * [backup-simplify]: Simplify (/ 1 (log1p (expm1 (- (/ (/ 1 (- f)) (- (+ (/ 1 (- f)) (/ 1 (- n))))) (/ (/ 1 (- n)) (- (+ (/ 1 (- f)) (/ 1 (- n))))))))) into (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.503 * [approximate]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in (f n) around 0 16.503 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in n 16.503 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 16.503 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.503 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in n 16.503 * [taylor]: Taking taylor expansion of 1 in n 16.503 * [backup-simplify]: Simplify 1 into 1 16.503 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.503 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.503 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in n 16.503 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in n 16.503 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in n 16.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in n 16.503 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.503 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.503 * [taylor]: Taking taylor expansion of f in n 16.503 * [backup-simplify]: Simplify f into f 16.503 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.503 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.504 * [taylor]: Taking taylor expansion of n in n 16.504 * [backup-simplify]: Simplify 0 into 0 16.504 * [backup-simplify]: Simplify 1 into 1 16.504 * [backup-simplify]: Simplify (/ 1 1) into 1 16.504 * [taylor]: Taking taylor expansion of n in n 16.504 * [backup-simplify]: Simplify 0 into 0 16.504 * [backup-simplify]: Simplify 1 into 1 16.505 * [backup-simplify]: Simplify (+ 0 1) into 1 16.505 * [backup-simplify]: Simplify (* 1 0) into 0 16.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.506 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 16.506 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 f) 0)) into 1 16.507 * [backup-simplify]: Simplify (/ 1 1) into 1 16.507 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in n 16.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in n 16.507 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 16.507 * [taylor]: Taking taylor expansion of (/ 1 f) in n 16.507 * [taylor]: Taking taylor expansion of f in n 16.507 * [backup-simplify]: Simplify f into f 16.507 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.507 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.507 * [taylor]: Taking taylor expansion of n in n 16.507 * [backup-simplify]: Simplify 0 into 0 16.507 * [backup-simplify]: Simplify 1 into 1 16.507 * [backup-simplify]: Simplify (/ 1 1) into 1 16.507 * [taylor]: Taking taylor expansion of f in n 16.507 * [backup-simplify]: Simplify f into f 16.508 * [backup-simplify]: Simplify (+ 0 1) into 1 16.508 * [backup-simplify]: Simplify (* 1 f) into f 16.508 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 16.508 * [backup-simplify]: Simplify (+ 1 0) into 1 16.509 * [backup-simplify]: Simplify (exp 1) into E 16.509 * [taylor]: Taking taylor expansion of 1 in n 16.509 * [backup-simplify]: Simplify 1 into 1 16.509 * [backup-simplify]: Simplify (- 1) into -1 16.509 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 16.510 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 16.511 * [backup-simplify]: Simplify (log E) into 1 16.511 * [backup-simplify]: Simplify (/ 1 1) into 1 16.511 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 16.511 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.511 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.511 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.511 * [taylor]: Taking taylor expansion of 1 in f 16.511 * [backup-simplify]: Simplify 1 into 1 16.511 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.511 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.511 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.512 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.512 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.512 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.512 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.512 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.512 * [taylor]: Taking taylor expansion of f in f 16.512 * [backup-simplify]: Simplify 0 into 0 16.512 * [backup-simplify]: Simplify 1 into 1 16.512 * [backup-simplify]: Simplify (/ 1 1) into 1 16.512 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.512 * [taylor]: Taking taylor expansion of n in f 16.512 * [backup-simplify]: Simplify n into n 16.512 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.512 * [taylor]: Taking taylor expansion of n in f 16.512 * [backup-simplify]: Simplify n into n 16.513 * [backup-simplify]: Simplify (+ 1 0) into 1 16.513 * [backup-simplify]: Simplify (* 1 n) into n 16.513 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.513 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.513 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.513 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.513 * [taylor]: Taking taylor expansion of f in f 16.513 * [backup-simplify]: Simplify 0 into 0 16.513 * [backup-simplify]: Simplify 1 into 1 16.514 * [backup-simplify]: Simplify (/ 1 1) into 1 16.514 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.514 * [taylor]: Taking taylor expansion of n in f 16.514 * [backup-simplify]: Simplify n into n 16.514 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.514 * [taylor]: Taking taylor expansion of f in f 16.514 * [backup-simplify]: Simplify 0 into 0 16.514 * [backup-simplify]: Simplify 1 into 1 16.514 * [backup-simplify]: Simplify (+ 1 0) into 1 16.515 * [backup-simplify]: Simplify (* 1 0) into 0 16.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.516 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.516 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.516 * [backup-simplify]: Simplify (/ 1 1) into 1 16.517 * [backup-simplify]: Simplify (- 1) into -1 16.517 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.518 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.518 * [taylor]: Taking taylor expansion of 1 in f 16.518 * [backup-simplify]: Simplify 1 into 1 16.518 * [backup-simplify]: Simplify (- 1) into -1 16.519 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.520 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 16.521 * [backup-simplify]: Simplify (log (exp -1)) into -1 16.522 * [backup-simplify]: Simplify (/ 1 -1) into -1 16.522 * [taylor]: Taking taylor expansion of (/ 1 (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) in f 16.522 * [taylor]: Taking taylor expansion of (log1p (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.522 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))))) 16.522 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))))) in f 16.522 * [taylor]: Taking taylor expansion of 1 in f 16.522 * [backup-simplify]: Simplify 1 into 1 16.522 * [taylor]: Taking taylor expansion of (expm1 (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.522 * [taylor]: Rewrote expression to (- (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) 1) 16.522 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)))) in f 16.522 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) (/ 1 (* (+ (/ 1 f) (/ 1 n)) f))) in f 16.522 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) n)) in f 16.522 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) n) in f 16.522 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.522 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.522 * [taylor]: Taking taylor expansion of f in f 16.522 * [backup-simplify]: Simplify 0 into 0 16.522 * [backup-simplify]: Simplify 1 into 1 16.523 * [backup-simplify]: Simplify (/ 1 1) into 1 16.523 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.523 * [taylor]: Taking taylor expansion of n in f 16.523 * [backup-simplify]: Simplify n into n 16.523 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.523 * [taylor]: Taking taylor expansion of n in f 16.523 * [backup-simplify]: Simplify n into n 16.524 * [backup-simplify]: Simplify (+ 1 0) into 1 16.524 * [backup-simplify]: Simplify (* 1 n) into n 16.524 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.524 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 f) (/ 1 n)) f)) in f 16.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 f) (/ 1 n)) f) in f 16.524 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 16.524 * [taylor]: Taking taylor expansion of (/ 1 f) in f 16.524 * [taylor]: Taking taylor expansion of f in f 16.524 * [backup-simplify]: Simplify 0 into 0 16.524 * [backup-simplify]: Simplify 1 into 1 16.524 * [backup-simplify]: Simplify (/ 1 1) into 1 16.525 * [taylor]: Taking taylor expansion of (/ 1 n) in f 16.525 * [taylor]: Taking taylor expansion of n in f 16.525 * [backup-simplify]: Simplify n into n 16.525 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.525 * [taylor]: Taking taylor expansion of f in f 16.525 * [backup-simplify]: Simplify 0 into 0 16.525 * [backup-simplify]: Simplify 1 into 1 16.525 * [backup-simplify]: Simplify (+ 1 0) into 1 16.526 * [backup-simplify]: Simplify (* 1 0) into 0 16.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.526 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.527 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 n) 0)) into 1 16.527 * [backup-simplify]: Simplify (/ 1 1) into 1 16.528 * [backup-simplify]: Simplify (- 1) into -1 16.528 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.528 * [backup-simplify]: Simplify (exp -1) into (exp -1) 16.528 * [taylor]: Taking taylor expansion of 1 in f 16.528 * [backup-simplify]: Simplify 1 into 1 16.529 * [backup-simplify]: Simplify (- 1) into -1 16.530 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 16.531 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 16.532 * [backup-simplify]: Simplify (log (exp -1)) into -1 16.532 * [backup-simplify]: Simplify (/ 1 -1) into -1 16.532 * [taylor]: Taking taylor expansion of -1 in n 16.532 * [backup-simplify]: Simplify -1 into -1 16.532 * [backup-simplify]: Simplify -1 into -1 16.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.534 * [backup-simplify]: Simplify (+ 0 0) into 0 16.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 1) (* 0 0))) into (/ 1 n) 16.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 n) 1)))) into (- (/ 1 n)) 16.535 * [backup-simplify]: Simplify (- (- (/ 1 n))) into (/ 1 n) 16.535 * [backup-simplify]: Simplify (+ (/ 1 n) (/ 1 n)) into (* 2 (/ 1 n)) 16.536 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ (exp -1) n)) 16.536 * [backup-simplify]: Simplify (- 0) into 0 16.537 * [backup-simplify]: Simplify (+ (* 2 (/ (exp -1) n)) 0) into (* 2 (/ (exp -1) n)) 16.537 * [backup-simplify]: Simplify (+ 0 (* 2 (/ (exp -1) n))) into (* 2 (/ (exp -1) n)) 16.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1)) (pow (exp -1) 1)))) 1) into (/ 2 n) 16.538 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 n))) 16.538 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 16.538 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 16.538 * [taylor]: Taking taylor expansion of 2 in n 16.538 * [backup-simplify]: Simplify 2 into 2 16.538 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.538 * [taylor]: Taking taylor expansion of n in n 16.538 * [backup-simplify]: Simplify 0 into 0 16.538 * [backup-simplify]: Simplify 1 into 1 16.539 * [backup-simplify]: Simplify (/ 1 1) into 1 16.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.540 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 16.540 * [backup-simplify]: Simplify (- 0) into 0 16.540 * [backup-simplify]: Simplify 0 into 0 16.540 * [backup-simplify]: Simplify 0 into 0 16.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.540 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 16.541 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 n) n)) into 1 16.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 1 n)))) into (- (/ 1 (pow n 2))) 16.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.542 * [backup-simplify]: Simplify (+ 0 0) into 0 16.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 1) (* 0 0)))) into 0 16.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ (/ 1 n) 1)))) into (/ 1 (pow n 2)) 16.543 * [backup-simplify]: Simplify (- (/ 1 (pow n 2))) into (- (/ 1 (pow n 2))) 16.543 * [backup-simplify]: Simplify (+ (- (/ 1 (pow n 2))) (- (/ 1 (pow n 2)))) into (- (* 2 (/ 1 (pow n 2)))) 16.544 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 16.544 * [backup-simplify]: Simplify (- 0) into 0 16.544 * [backup-simplify]: Simplify (+ 0 0) into 0 16.544 * [backup-simplify]: Simplify (+ 0 0) into 0 16.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 16.547 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 16.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 16.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 16.547 * [taylor]: Taking taylor expansion of 2 in n 16.547 * [backup-simplify]: Simplify 2 into 2 16.547 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 16.547 * [taylor]: Taking taylor expansion of (pow n 2) in n 16.547 * [taylor]: Taking taylor expansion of n in n 16.547 * [backup-simplify]: Simplify 0 into 0 16.547 * [backup-simplify]: Simplify 1 into 1 16.547 * [backup-simplify]: Simplify (* 1 1) into 1 16.547 * [backup-simplify]: Simplify (/ 1 1) into 1 16.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.550 * [backup-simplify]: Simplify (- 0) into 0 16.550 * [backup-simplify]: Simplify 0 into 0 16.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.552 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 16.552 * [backup-simplify]: Simplify (- 0) into 0 16.552 * [backup-simplify]: Simplify 0 into 0 16.552 * [backup-simplify]: Simplify 0 into 0 16.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 16.553 * [backup-simplify]: Simplify (+ 0 0) into 0 16.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 n))) into 0 16.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* (- (/ 1 (pow n 2))) (/ 1 n)))) into (/ 1 (pow n 3)) 16.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 16.554 * [backup-simplify]: Simplify (+ 0 0) into 0 16.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 n)) (/ 0 1)) (* (/ 1 (pow n 2)) (/ (/ 1 n) 1)))) into (- (/ 1 (pow n 3))) 16.556 * [backup-simplify]: Simplify (- (- (/ 1 (pow n 3)))) into (/ 1 (pow n 3)) 16.556 * [backup-simplify]: Simplify (+ (/ 1 (pow n 3)) (/ 1 (pow n 3))) into (* 2 (/ 1 (pow n 3))) 16.557 * [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))) 16.557 * [backup-simplify]: Simplify (- 0) into 0 16.558 * [backup-simplify]: Simplify (+ (* -2/3 (/ (exp -1) (pow n 3))) 0) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 16.558 * [backup-simplify]: Simplify (+ 0 (- (* 2/3 (/ (exp -1) (pow n 3))))) into (- (* 2/3 (/ (exp -1) (pow n 3)))) 16.561 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ (exp -1) n))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 2/3 (/ (exp -1) (pow n 3))))) 1)) (pow (exp -1) 1)))) 6) into (/ 2 (pow n 3)) 16.562 * [backup-simplify]: Simplify (- (+ (* -1 (/ (/ 2 (pow n 3)) -1)) (* (- (* 2 (/ 1 n))) (/ (/ -2 (pow n 2)) -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 2 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 16.562 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 16.562 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 16.562 * [taylor]: Taking taylor expansion of 2 in n 16.562 * [backup-simplify]: Simplify 2 into 2 16.562 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 16.562 * [taylor]: Taking taylor expansion of (pow n 3) in n 16.562 * [taylor]: Taking taylor expansion of n in n 16.562 * [backup-simplify]: Simplify 0 into 0 16.562 * [backup-simplify]: Simplify 1 into 1 16.562 * [backup-simplify]: Simplify (* 1 1) into 1 16.563 * [backup-simplify]: Simplify (* 1 1) into 1 16.563 * [backup-simplify]: Simplify (/ 1 1) into 1 16.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.570 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.570 * [backup-simplify]: Simplify (- 0) into 0 16.571 * [backup-simplify]: Simplify 0 into 0 16.571 * [backup-simplify]: Simplify -1 into -1 16.571 * * * [progress]: simplifying candidates 16.652 * [simplify]: Simplifying: 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