0.662 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying: (/ (- (+ f n)) (- f n)) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: Extracting # 3 : cost 0 0.070 * * [simplify]: Extracting # 4 : cost 0 0.070 * * [simplify]: iteration 0 : 6 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 1 : 13 enodes (cost 8 ) 0.076 * * [simplify]: Extracting # 0 : cost 0 0.076 * * [simplify]: iteration 2 : 16 enodes (cost 8 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 3 : 20 enodes (cost 8 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: iteration 4 : 26 enodes (cost 8 ) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: iteration 5 : 30 enodes (cost 8 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: iteration 6 : 32 enodes (cost 8 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: iteration done: 32 enodes (cost 8 ) 0.122 * [simplify]: Simplified to: (/ (- (+ f n)) (- f n)) 0.124 * * [progress]: iteration 1 / 4 0.124 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.126 * * * [progress]: localizing error 0.134 * * * [progress]: generating rewritten candidates 0.134 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.186 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 0.186 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 0.187 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 0.187 * [taylor]: Taking taylor expansion of -1 in n 0.187 * [backup-simplify]: Simplify -1 into -1 0.187 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 0.187 * [taylor]: Taking taylor expansion of (+ n f) in n 0.187 * [taylor]: Taking taylor expansion of n in n 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of f in n 0.187 * [backup-simplify]: Simplify f into f 0.187 * [taylor]: Taking taylor expansion of (- f n) in n 0.187 * [taylor]: Taking taylor expansion of f in n 0.187 * [backup-simplify]: Simplify f into f 0.187 * [taylor]: Taking taylor expansion of n in n 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ 0 f) into f 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ f 0) into f 0.188 * [backup-simplify]: Simplify (/ f f) into 1 0.188 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.188 * [taylor]: Taking taylor expansion of -1 in f 0.188 * [backup-simplify]: Simplify -1 into -1 0.188 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.188 * [taylor]: Taking taylor expansion of (+ n f) in f 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.188 * [taylor]: Taking taylor expansion of f in f 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (- f n) in f 0.188 * [taylor]: Taking taylor expansion of f in f 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of n in f 0.188 * [backup-simplify]: Simplify n into n 0.188 * [backup-simplify]: Simplify (+ n 0) into n 0.188 * [backup-simplify]: Simplify (- n) into (- n) 0.189 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.189 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.189 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 0.189 * [taylor]: Taking taylor expansion of -1 in f 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 0.189 * [taylor]: Taking taylor expansion of (+ n f) in f 0.189 * [taylor]: Taking taylor expansion of n in f 0.189 * [backup-simplify]: Simplify n into n 0.189 * [taylor]: Taking taylor expansion of f in f 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (- f n) in f 0.189 * [taylor]: Taking taylor expansion of f in f 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of n in f 0.189 * [backup-simplify]: Simplify n into n 0.189 * [backup-simplify]: Simplify (+ n 0) into n 0.189 * [backup-simplify]: Simplify (- n) into (- n) 0.189 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 0.189 * [backup-simplify]: Simplify (/ n (- n)) into -1 0.190 * [backup-simplify]: Simplify (* -1 -1) into 1 0.190 * [taylor]: Taking taylor expansion of 1 in n 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 0.192 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 0.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.192 * [taylor]: Taking taylor expansion of 2 in n 0.192 * [backup-simplify]: Simplify 2 into 2 0.192 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.192 * [taylor]: Taking taylor expansion of n in n 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 0.195 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 0.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.195 * [taylor]: Taking taylor expansion of 2 in n 0.195 * [backup-simplify]: Simplify 2 into 2 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.195 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.195 * [taylor]: Taking taylor expansion of n in n 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [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)))) 0.210 * [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))) 0.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.210 * [taylor]: Taking taylor expansion of 2 in n 0.210 * [backup-simplify]: Simplify 2 into 2 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.210 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.210 * [taylor]: Taking taylor expansion of n in n 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 0.216 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 0.216 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 0.216 * [taylor]: Taking taylor expansion of -1 in n 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.216 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.217 * [taylor]: Taking taylor expansion of f in n 0.217 * [backup-simplify]: Simplify f into f 0.217 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.217 * [taylor]: Taking taylor expansion of n in n 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 0.217 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.217 * [taylor]: Taking taylor expansion of f in n 0.217 * [backup-simplify]: Simplify f into f 0.217 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.217 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.217 * [taylor]: Taking taylor expansion of n in n 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ 0 1) into 1 0.218 * [backup-simplify]: Simplify (- 1) into -1 0.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.219 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.219 * [taylor]: Taking taylor expansion of -1 in f 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.219 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.219 * [taylor]: Taking taylor expansion of n in f 0.219 * [backup-simplify]: Simplify n into n 0.219 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.219 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.219 * [taylor]: Taking taylor expansion of (/ 1 f) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.219 * [taylor]: Taking taylor expansion of n in f 0.219 * [backup-simplify]: Simplify n into n 0.219 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.220 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 0.220 * [taylor]: Taking taylor expansion of -1 in f 0.220 * [backup-simplify]: Simplify -1 into -1 0.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.220 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.220 * [taylor]: Taking taylor expansion of f in f 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.221 * [taylor]: Taking taylor expansion of n in f 0.221 * [backup-simplify]: Simplify n into n 0.221 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 0.221 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.221 * [taylor]: Taking taylor expansion of f in f 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.221 * [taylor]: Taking taylor expansion of n in f 0.221 * [backup-simplify]: Simplify n into n 0.221 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (* -1 1) into -1 0.222 * [taylor]: Taking taylor expansion of -1 in n 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [backup-simplify]: Simplify -1 into -1 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 0.224 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 0.224 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 0.224 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 0.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.224 * [taylor]: Taking taylor expansion of 2 in n 0.224 * [backup-simplify]: Simplify 2 into 2 0.224 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.224 * [taylor]: Taking taylor expansion of n in n 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [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 into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 0.229 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 0.229 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.229 * [taylor]: Taking taylor expansion of 2 in n 0.229 * [backup-simplify]: Simplify 2 into 2 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.229 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.229 * [taylor]: Taking taylor expansion of n in n 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [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 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [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))) 0.240 * [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)))) 0.240 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.240 * [taylor]: Taking taylor expansion of 2 in n 0.241 * [backup-simplify]: Simplify 2 into 2 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.241 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify -1 into -1 0.251 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 0.252 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 0.252 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.252 * [taylor]: Taking taylor expansion of f in n 0.252 * [backup-simplify]: Simplify f into f 0.252 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 0.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of (/ 1 f) in n 0.253 * [taylor]: Taking taylor expansion of f in n 0.253 * [backup-simplify]: Simplify f into f 0.253 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.254 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.254 * [taylor]: Taking taylor expansion of f in f 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.255 * [taylor]: Taking taylor expansion of n in f 0.255 * [backup-simplify]: Simplify n into n 0.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.255 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.255 * [taylor]: Taking taylor expansion of n in f 0.255 * [backup-simplify]: Simplify n into n 0.255 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.255 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.255 * [taylor]: Taking taylor expansion of f in f 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (- 1) into -1 0.257 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.257 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 0.257 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.257 * [taylor]: Taking taylor expansion of f in f 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.258 * [taylor]: Taking taylor expansion of n in f 0.258 * [backup-simplify]: Simplify n into n 0.258 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 0.258 * [taylor]: Taking taylor expansion of (/ 1 n) in f 0.258 * [taylor]: Taking taylor expansion of n in f 0.258 * [backup-simplify]: Simplify n into n 0.258 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.258 * [taylor]: Taking taylor expansion of (/ 1 f) in f 0.258 * [taylor]: Taking taylor expansion of f in f 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.260 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.261 * [taylor]: Taking taylor expansion of -1 in n 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 0.263 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 0.263 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 0.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 0.263 * [taylor]: Taking taylor expansion of 2 in n 0.263 * [backup-simplify]: Simplify 2 into 2 0.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.263 * [taylor]: Taking taylor expansion of n in n 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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 0.270 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 0.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 0.270 * [taylor]: Taking taylor expansion of 2 in n 0.270 * [backup-simplify]: Simplify 2 into 2 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.270 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [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)))) 0.280 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 0.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 0.280 * [taylor]: Taking taylor expansion of 2 in n 0.280 * [backup-simplify]: Simplify 2 into 2 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 0.280 * [taylor]: Taking taylor expansion of (pow n 3) in n 0.280 * [taylor]: Taking taylor expansion of n in n 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify -1 into -1 0.286 * * * [progress]: simplifying candidates 0.288 * [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 0.290 * * [simplify]: Extracting # 0 : cost 0 0.290 * * [simplify]: Extracting # 1 : cost 0 0.290 * * [simplify]: Extracting # 2 : cost 0 0.290 * * [simplify]: Extracting # 3 : cost 0 0.291 * * [simplify]: Extracting # 4 : cost 0 0.291 * * [simplify]: Extracting # 5 : cost 0 0.291 * * [simplify]: Extracting # 6 : cost 0 0.291 * * [simplify]: iteration 0 : 135 enodes (cost 1469 ) 0.333 * * [simplify]: Extracting # 0 : cost 0 0.333 * * [simplify]: Extracting # 1 : cost 0 0.334 * * [simplify]: Extracting # 2 : cost 0 0.335 * * [simplify]: Extracting # 3 : cost 0 0.336 * * [simplify]: Extracting # 4 : cost 0 0.336 * * [simplify]: iteration 1 : 316 enodes (cost 1395 ) 0.478 * * [simplify]: Extracting # 0 : cost 0 0.480 * * [simplify]: Extracting # 1 : cost 0 0.482 * * [simplify]: Extracting # 2 : cost 0 0.484 * * [simplify]: Extracting # 3 : cost 0 0.486 * * [simplify]: iteration 2 : 1080 enodes (cost 1367 ) 1.072 * * [simplify]: Extracting # 0 : cost 0 1.098 * * [simplify]: Extracting # 1 : cost 0 1.111 * * [simplify]: Extracting # 2 : cost 0 1.117 * * [simplify]: Extracting # 3 : cost 0 1.123 * * [simplify]: Extracting # 4 : cost 0 1.129 * * [simplify]: Extracting # 5 : cost 0 1.135 * * [simplify]: iteration done: 5001 enodes (cost 1358 ) 1.136 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (pow (/ (- (+ f n)) (- f n)) 3) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (+ n f) (- (- f n)) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ n f)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ n f)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (/ -1 (- f n)) (* (fma f f (* n (- n f))) (- f n)) (* (- f n) (- f n)) 1 -1 -1 1.137 * * * [progress]: adding candidates to table 1.378 * * [progress]: iteration 2 / 4 1.378 * * * [progress]: picking best candidate 1.391 * * * * [pick]: Picked # 1.391 * * * [progress]: localizing error 1.414 * * * [progress]: generating rewritten candidates 1.414 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.415 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 1.463 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.471 * * * [progress]: generating series expansions 1.471 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.471 * [backup-simplify]: Simplify (expm1 (/ (- (+ f n)) (- f n))) into (expm1 (* -1 (/ (+ n f) (- f n)))) 1.471 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 1.471 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 1.473 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.473 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.474 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.474 * [taylor]: Taking taylor expansion of -1 in n 1.474 * [backup-simplify]: Simplify -1 into -1 1.474 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.474 * [taylor]: Taking taylor expansion of (+ n f) in n 1.474 * [taylor]: Taking taylor expansion of n in n 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [taylor]: Taking taylor expansion of f in n 1.474 * [backup-simplify]: Simplify f into f 1.474 * [taylor]: Taking taylor expansion of (- f n) in n 1.474 * [taylor]: Taking taylor expansion of f in n 1.474 * [backup-simplify]: Simplify f into f 1.474 * [taylor]: Taking taylor expansion of n in n 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (+ 0 f) into f 1.475 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ f 0) into f 1.475 * [backup-simplify]: Simplify (/ f f) into 1 1.475 * [backup-simplify]: Simplify (* -1 1) into -1 1.476 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.476 * [taylor]: Taking taylor expansion of 1 in n 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.476 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.476 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.476 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.476 * [taylor]: Taking taylor expansion of -1 in f 1.476 * [backup-simplify]: Simplify -1 into -1 1.476 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.476 * [taylor]: Taking taylor expansion of (+ n f) in f 1.476 * [taylor]: Taking taylor expansion of n in f 1.476 * [backup-simplify]: Simplify n into n 1.476 * [taylor]: Taking taylor expansion of f in f 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [taylor]: Taking taylor expansion of (- f n) in f 1.476 * [taylor]: Taking taylor expansion of f in f 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [taylor]: Taking taylor expansion of n in f 1.477 * [backup-simplify]: Simplify n into n 1.477 * [backup-simplify]: Simplify (+ n 0) into n 1.477 * [backup-simplify]: Simplify (- n) into (- n) 1.477 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.477 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.477 * [backup-simplify]: Simplify (* -1 -1) into 1 1.477 * [backup-simplify]: Simplify (exp 1) into E 1.477 * [taylor]: Taking taylor expansion of 1 in f 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.478 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.478 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.478 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.478 * [taylor]: Taking taylor expansion of -1 in f 1.478 * [backup-simplify]: Simplify -1 into -1 1.478 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.478 * [taylor]: Taking taylor expansion of (+ n f) in f 1.478 * [taylor]: Taking taylor expansion of n in f 1.478 * [backup-simplify]: Simplify n into n 1.478 * [taylor]: Taking taylor expansion of f in f 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of (- f n) in f 1.478 * [taylor]: Taking taylor expansion of f in f 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of n in f 1.478 * [backup-simplify]: Simplify n into n 1.478 * [backup-simplify]: Simplify (+ n 0) into n 1.478 * [backup-simplify]: Simplify (- n) into (- n) 1.478 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.478 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.479 * [backup-simplify]: Simplify (* -1 -1) into 1 1.479 * [backup-simplify]: Simplify (exp 1) into E 1.479 * [taylor]: Taking taylor expansion of 1 in f 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (- 1) into -1 1.480 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.480 * [taylor]: Taking taylor expansion of (- E 1) in n 1.480 * [taylor]: Taking taylor expansion of E in n 1.480 * [backup-simplify]: Simplify E into E 1.480 * [taylor]: Taking taylor expansion of 1 in n 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (- 1) into -1 1.481 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.481 * [backup-simplify]: Simplify (- E 1) into (- E 1) 1.482 * [backup-simplify]: Simplify (+ 0 1) into 1 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.484 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.484 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 1.485 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 1.485 * [taylor]: Taking taylor expansion of 2 in n 1.485 * [backup-simplify]: Simplify 2 into 2 1.485 * [taylor]: Taking taylor expansion of (/ E n) in n 1.485 * [taylor]: Taking taylor expansion of E in n 1.485 * [backup-simplify]: Simplify E into E 1.485 * [taylor]: Taking taylor expansion of n in n 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ E 1) into E 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.491 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.492 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 1.492 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 1.492 * [taylor]: Taking taylor expansion of 4 in n 1.492 * [backup-simplify]: Simplify 4 into 4 1.493 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 1.493 * [taylor]: Taking taylor expansion of E in n 1.493 * [backup-simplify]: Simplify E into E 1.493 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.494 * [backup-simplify]: Simplify (/ E 1) into E 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 1.504 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 1.505 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 1.506 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 1.506 * [taylor]: Taking taylor expansion of 22/3 in n 1.506 * [backup-simplify]: Simplify 22/3 into 22/3 1.506 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 1.506 * [taylor]: Taking taylor expansion of E in n 1.506 * [backup-simplify]: Simplify E into E 1.506 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.506 * [taylor]: Taking taylor expansion of n in n 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (/ E 1) into E 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (- E 1) into (- E 1) 1.517 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1.517 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 1.517 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.518 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.518 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.518 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.518 * [taylor]: Taking taylor expansion of -1 in n 1.518 * [backup-simplify]: Simplify -1 into -1 1.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.518 * [taylor]: Taking taylor expansion of f in n 1.518 * [backup-simplify]: Simplify f into f 1.518 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.518 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (/ 1 1) into 1 1.518 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.519 * [taylor]: Taking taylor expansion of f in n 1.519 * [backup-simplify]: Simplify f into f 1.519 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.519 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [backup-simplify]: Simplify (+ 0 1) into 1 1.520 * [backup-simplify]: Simplify (- 1) into -1 1.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.521 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.521 * [backup-simplify]: Simplify (* -1 -1) into 1 1.521 * [backup-simplify]: Simplify (exp 1) into E 1.521 * [taylor]: Taking taylor expansion of 1 in n 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.522 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.522 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.522 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.522 * [taylor]: Taking taylor expansion of -1 in f 1.522 * [backup-simplify]: Simplify -1 into -1 1.522 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.522 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.522 * [taylor]: Taking taylor expansion of f in f 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (/ 1 1) into 1 1.522 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.522 * [taylor]: Taking taylor expansion of n in f 1.522 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.523 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.523 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.523 * [taylor]: Taking taylor expansion of f in f 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.523 * [taylor]: Taking taylor expansion of n in f 1.523 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.525 * [backup-simplify]: Simplify (/ 1 1) into 1 1.525 * [backup-simplify]: Simplify (* -1 1) into -1 1.525 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.525 * [taylor]: Taking taylor expansion of 1 in f 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.526 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.526 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.526 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.526 * [taylor]: Taking taylor expansion of -1 in f 1.526 * [backup-simplify]: Simplify -1 into -1 1.526 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.526 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.526 * [taylor]: Taking taylor expansion of f in f 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (/ 1 1) into 1 1.526 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.526 * [taylor]: Taking taylor expansion of n in f 1.526 * [backup-simplify]: Simplify n into n 1.527 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.527 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.527 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.527 * [taylor]: Taking taylor expansion of f in f 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (/ 1 1) into 1 1.527 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.527 * [taylor]: Taking taylor expansion of n in f 1.527 * [backup-simplify]: Simplify n into n 1.527 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.528 * [backup-simplify]: Simplify (+ 1 0) into 1 1.528 * [backup-simplify]: Simplify (+ 1 0) into 1 1.529 * [backup-simplify]: Simplify (/ 1 1) into 1 1.529 * [backup-simplify]: Simplify (* -1 1) into -1 1.529 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.529 * [taylor]: Taking taylor expansion of 1 in f 1.529 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (- 1) into -1 1.531 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.531 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.531 * [taylor]: Taking taylor expansion of (exp -1) in n 1.531 * [taylor]: Taking taylor expansion of -1 in n 1.531 * [backup-simplify]: Simplify -1 into -1 1.531 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.531 * [taylor]: Taking taylor expansion of 1 in n 1.531 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (- 1) into -1 1.532 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.533 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.535 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.535 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.543 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.544 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.545 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.545 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.545 * [taylor]: Taking taylor expansion of 2 in n 1.545 * [backup-simplify]: Simplify 2 into 2 1.545 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.545 * [taylor]: Taking taylor expansion of (exp -1) in n 1.545 * [taylor]: Taking taylor expansion of -1 in n 1.545 * [backup-simplify]: Simplify -1 into -1 1.546 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.546 * [taylor]: Taking taylor expansion of n in n 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.548 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.557 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.558 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.558 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [taylor]: Taking taylor expansion of 0 in n 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.571 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.572 * [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))) 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.573 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.573 * [taylor]: Taking taylor expansion of 2/3 in n 1.573 * [backup-simplify]: Simplify 2/3 into 2/3 1.573 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.573 * [taylor]: Taking taylor expansion of (exp -1) in n 1.573 * [taylor]: Taking taylor expansion of -1 in n 1.573 * [backup-simplify]: Simplify -1 into -1 1.574 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.574 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.574 * [taylor]: Taking taylor expansion of n in n 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.577 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.586 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.591 * [backup-simplify]: Simplify (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1.591 * [approximate]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 1.591 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.591 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.591 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.591 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.591 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.591 * [taylor]: Taking taylor expansion of f in n 1.591 * [backup-simplify]: Simplify f into f 1.591 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.591 * [taylor]: Taking taylor expansion of n in n 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.592 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.592 * [taylor]: Taking taylor expansion of n in n 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.592 * [taylor]: Taking taylor expansion of f in n 1.593 * [backup-simplify]: Simplify f into f 1.593 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.593 * [backup-simplify]: Simplify (+ 0 1) into 1 1.593 * [backup-simplify]: Simplify (+ 1 0) into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (exp 1) into E 1.594 * [taylor]: Taking taylor expansion of 1 in n 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.594 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.594 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.594 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.594 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.594 * [taylor]: Taking taylor expansion of f in f 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.595 * [taylor]: Taking taylor expansion of n in f 1.595 * [backup-simplify]: Simplify n into n 1.595 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.595 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.595 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.595 * [taylor]: Taking taylor expansion of n in f 1.595 * [backup-simplify]: Simplify n into n 1.595 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.595 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.595 * [taylor]: Taking taylor expansion of f in f 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (+ 1 0) into 1 1.597 * [backup-simplify]: Simplify (- 1) into -1 1.598 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.598 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.598 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.598 * [taylor]: Taking taylor expansion of 1 in f 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.599 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.599 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.599 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.599 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.599 * [taylor]: Taking taylor expansion of f in f 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.599 * [taylor]: Taking taylor expansion of n in f 1.599 * [backup-simplify]: Simplify n into n 1.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.600 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.600 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.600 * [taylor]: Taking taylor expansion of n in f 1.600 * [backup-simplify]: Simplify n into n 1.600 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.600 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.600 * [taylor]: Taking taylor expansion of f in f 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [backup-simplify]: Simplify (+ 1 0) into 1 1.601 * [backup-simplify]: Simplify (- 1) into -1 1.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.602 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.603 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.603 * [taylor]: Taking taylor expansion of 1 in f 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (- 1) into -1 1.604 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.604 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 1.604 * [taylor]: Taking taylor expansion of (exp -1) in n 1.604 * [taylor]: Taking taylor expansion of -1 in n 1.604 * [backup-simplify]: Simplify -1 into -1 1.605 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.605 * [taylor]: Taking taylor expansion of 1 in n 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (- 1) into -1 1.606 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.607 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.609 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.610 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.611 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 1.611 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 1.611 * [taylor]: Taking taylor expansion of 2 in n 1.611 * [backup-simplify]: Simplify 2 into 2 1.611 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 1.611 * [taylor]: Taking taylor expansion of (exp -1) in n 1.611 * [taylor]: Taking taylor expansion of -1 in n 1.611 * [backup-simplify]: Simplify -1 into -1 1.612 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.614 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.624 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.625 * [backup-simplify]: Simplify (- 0) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [taylor]: Taking taylor expansion of 0 in n 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.639 * [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))) 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.640 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 1.640 * [taylor]: Taking taylor expansion of 2/3 in n 1.640 * [backup-simplify]: Simplify 2/3 into 2/3 1.640 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 1.640 * [taylor]: Taking taylor expansion of (exp -1) in n 1.640 * [taylor]: Taking taylor expansion of -1 in n 1.640 * [backup-simplify]: Simplify -1 into -1 1.641 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.641 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.642 * [backup-simplify]: Simplify (* 1 1) into 1 1.643 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 1.645 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.651 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 1.654 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 1.654 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 1.654 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 1.654 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.654 * [taylor]: Taking taylor expansion of -1 in n 1.654 * [backup-simplify]: Simplify -1 into -1 1.654 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.654 * [taylor]: Taking taylor expansion of (+ n f) in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [taylor]: Taking taylor expansion of f in n 1.654 * [backup-simplify]: Simplify f into f 1.654 * [taylor]: Taking taylor expansion of (- f n) in n 1.654 * [taylor]: Taking taylor expansion of f in n 1.654 * [backup-simplify]: Simplify f into f 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (+ 0 f) into f 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ f 0) into f 1.655 * [backup-simplify]: Simplify (/ f f) into 1 1.655 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.655 * [taylor]: Taking taylor expansion of -1 in f 1.655 * [backup-simplify]: Simplify -1 into -1 1.655 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.655 * [taylor]: Taking taylor expansion of (+ n f) in f 1.655 * [taylor]: Taking taylor expansion of n in f 1.655 * [backup-simplify]: Simplify n into n 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of (- f n) in f 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of n in f 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (+ n 0) into n 1.655 * [backup-simplify]: Simplify (- n) into (- n) 1.655 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.655 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.655 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.655 * [taylor]: Taking taylor expansion of -1 in f 1.655 * [backup-simplify]: Simplify -1 into -1 1.655 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.655 * [taylor]: Taking taylor expansion of (+ n f) in f 1.655 * [taylor]: Taking taylor expansion of n in f 1.655 * [backup-simplify]: Simplify n into n 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of (- f n) in f 1.655 * [taylor]: Taking taylor expansion of f in f 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of n in f 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (+ n 0) into n 1.656 * [backup-simplify]: Simplify (- n) into (- n) 1.656 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.656 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.656 * [backup-simplify]: Simplify (* -1 -1) into 1 1.656 * [taylor]: Taking taylor expansion of 1 in n 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (+ 0 1) into 1 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.657 * [backup-simplify]: Simplify (+ 1 0) into 1 1.657 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.657 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.657 * [taylor]: Taking taylor expansion of 2 in n 1.657 * [backup-simplify]: Simplify 2 into 2 1.657 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (/ 1 1) into 1 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.660 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.660 * [taylor]: Taking taylor expansion of 2 in n 1.660 * [backup-simplify]: Simplify 2 into 2 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.660 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.660 * [taylor]: Taking taylor expansion of n in n 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (* 1 1) into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.663 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 1.666 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 1.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.666 * [taylor]: Taking taylor expansion of 2 in n 1.666 * [backup-simplify]: Simplify 2 into 2 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.666 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 1.672 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 1.672 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.672 * [taylor]: Taking taylor expansion of -1 in n 1.672 * [backup-simplify]: Simplify -1 into -1 1.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.672 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.672 * [taylor]: Taking taylor expansion of f in n 1.672 * [backup-simplify]: Simplify f into f 1.672 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.678 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.678 * [taylor]: Taking taylor expansion of f in n 1.678 * [backup-simplify]: Simplify f into f 1.678 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.678 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify (+ 0 1) into 1 1.680 * [backup-simplify]: Simplify (- 1) into -1 1.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.681 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.681 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.681 * [taylor]: Taking taylor expansion of -1 in f 1.681 * [backup-simplify]: Simplify -1 into -1 1.681 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.681 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.681 * [taylor]: Taking taylor expansion of f in f 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.682 * [taylor]: Taking taylor expansion of n in f 1.682 * [backup-simplify]: Simplify n into n 1.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.682 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.682 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.682 * [taylor]: Taking taylor expansion of f in f 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.683 * [taylor]: Taking taylor expansion of n in f 1.683 * [backup-simplify]: Simplify n into n 1.683 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.683 * [backup-simplify]: Simplify (+ 1 0) into 1 1.684 * [backup-simplify]: Simplify (+ 1 0) into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.684 * [taylor]: Taking taylor expansion of -1 in f 1.684 * [backup-simplify]: Simplify -1 into -1 1.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.684 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.684 * [taylor]: Taking taylor expansion of f in f 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.685 * [taylor]: Taking taylor expansion of n in f 1.685 * [backup-simplify]: Simplify n into n 1.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.685 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.685 * [taylor]: Taking taylor expansion of f in f 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.686 * [taylor]: Taking taylor expansion of n in f 1.686 * [backup-simplify]: Simplify n into n 1.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.686 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [backup-simplify]: Simplify (* -1 1) into -1 1.688 * [taylor]: Taking taylor expansion of -1 in n 1.688 * [backup-simplify]: Simplify -1 into -1 1.688 * [backup-simplify]: Simplify -1 into -1 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.690 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.690 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.691 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.691 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.691 * [taylor]: Taking taylor expansion of 2 in n 1.691 * [backup-simplify]: Simplify 2 into 2 1.691 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.696 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.698 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.698 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.699 * [taylor]: Taking taylor expansion of 2 in n 1.699 * [backup-simplify]: Simplify 2 into 2 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.699 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.699 * [taylor]: Taking taylor expansion of n in n 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* 1 1) into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.709 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.713 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.713 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.713 * [taylor]: Taking taylor expansion of 2 in n 1.713 * [backup-simplify]: Simplify 2 into 2 1.713 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.713 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.713 * [taylor]: Taking taylor expansion of n in n 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (* 1 1) into 1 1.714 * [backup-simplify]: Simplify (* 1 1) into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (- 0) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify -1 into -1 1.724 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 1.724 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 1.724 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.724 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.724 * [taylor]: Taking taylor expansion of f in n 1.724 * [backup-simplify]: Simplify f into f 1.724 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.724 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (/ 1 1) into 1 1.724 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.725 * [taylor]: Taking taylor expansion of f in n 1.725 * [backup-simplify]: Simplify f into f 1.725 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.726 * [backup-simplify]: Simplify (+ 0 1) into 1 1.726 * [backup-simplify]: Simplify (+ 1 0) into 1 1.726 * [backup-simplify]: Simplify (/ 1 1) into 1 1.726 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.726 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.726 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.727 * [taylor]: Taking taylor expansion of f in f 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.727 * [taylor]: Taking taylor expansion of n in f 1.727 * [backup-simplify]: Simplify n into n 1.727 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.727 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.727 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.727 * [taylor]: Taking taylor expansion of n in f 1.727 * [backup-simplify]: Simplify n into n 1.727 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.727 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.727 * [taylor]: Taking taylor expansion of f in f 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [backup-simplify]: Simplify (+ 1 0) into 1 1.729 * [backup-simplify]: Simplify (- 1) into -1 1.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.729 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.730 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.730 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.730 * [taylor]: Taking taylor expansion of f in f 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.730 * [taylor]: Taking taylor expansion of n in f 1.730 * [backup-simplify]: Simplify n into n 1.730 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.730 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.730 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.730 * [taylor]: Taking taylor expansion of n in f 1.730 * [backup-simplify]: Simplify n into n 1.730 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.730 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.730 * [taylor]: Taking taylor expansion of f in f 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify (- 1) into -1 1.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.732 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.733 * [taylor]: Taking taylor expansion of -1 in n 1.733 * [backup-simplify]: Simplify -1 into -1 1.733 * [backup-simplify]: Simplify -1 into -1 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.735 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.735 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 1.735 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 1.735 * [taylor]: Taking taylor expansion of 2 in n 1.735 * [backup-simplify]: Simplify 2 into 2 1.735 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.742 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 1.742 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 1.742 * [taylor]: Taking taylor expansion of 2 in n 1.742 * [backup-simplify]: Simplify 2 into 2 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.742 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (* 1 1) into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.755 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 1.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 1.755 * [taylor]: Taking taylor expansion of 2 in n 1.755 * [backup-simplify]: Simplify 2 into 2 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 1.755 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.755 * [taylor]: Taking taylor expansion of n in n 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (- 0) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify -1 into -1 1.766 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.766 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ f n)) (- f n)))) into (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) 1.766 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in (f n) around 0 1.766 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in n 1.766 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.766 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in n 1.766 * [taylor]: Taking taylor expansion of 1 in n 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in n 1.767 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.767 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 1.767 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 1.767 * [taylor]: Taking taylor expansion of -1 in n 1.767 * [backup-simplify]: Simplify -1 into -1 1.767 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 1.767 * [taylor]: Taking taylor expansion of (+ n f) in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [taylor]: Taking taylor expansion of f in n 1.767 * [backup-simplify]: Simplify f into f 1.767 * [taylor]: Taking taylor expansion of (- f n) in n 1.767 * [taylor]: Taking taylor expansion of f in n 1.767 * [backup-simplify]: Simplify f into f 1.767 * [taylor]: Taking taylor expansion of n in n 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (+ 0 f) into f 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify (+ f 0) into f 1.768 * [backup-simplify]: Simplify (/ f f) into 1 1.768 * [backup-simplify]: Simplify (* -1 1) into -1 1.768 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.769 * [taylor]: Taking taylor expansion of 1 in n 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (- 1) into -1 1.770 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.771 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.773 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.773 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.773 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.773 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.773 * [taylor]: Taking taylor expansion of 1 in f 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.773 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.773 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.773 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.773 * [taylor]: Taking taylor expansion of -1 in f 1.773 * [backup-simplify]: Simplify -1 into -1 1.773 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.773 * [taylor]: Taking taylor expansion of (+ n f) in f 1.773 * [taylor]: Taking taylor expansion of n in f 1.773 * [backup-simplify]: Simplify n into n 1.773 * [taylor]: Taking taylor expansion of f in f 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (- f n) in f 1.773 * [taylor]: Taking taylor expansion of f in f 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of n in f 1.773 * [backup-simplify]: Simplify n into n 1.773 * [backup-simplify]: Simplify (+ n 0) into n 1.773 * [backup-simplify]: Simplify (- n) into (- n) 1.774 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.774 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.774 * [backup-simplify]: Simplify (* -1 -1) into 1 1.774 * [backup-simplify]: Simplify (exp 1) into E 1.774 * [taylor]: Taking taylor expansion of 1 in f 1.774 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (- 1) into -1 1.775 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.776 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.776 * [backup-simplify]: Simplify (log E) into 1 1.776 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.776 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ n f) (- f n)))))) 1.776 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ n f) (- f n))))) in f 1.776 * [taylor]: Taking taylor expansion of 1 in f 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ n f) (- f n)))) in f 1.777 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 1.777 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 1.777 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 1.777 * [taylor]: Taking taylor expansion of -1 in f 1.777 * [backup-simplify]: Simplify -1 into -1 1.777 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 1.777 * [taylor]: Taking taylor expansion of (+ n f) in f 1.777 * [taylor]: Taking taylor expansion of n in f 1.777 * [backup-simplify]: Simplify n into n 1.777 * [taylor]: Taking taylor expansion of f in f 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [taylor]: Taking taylor expansion of (- f n) in f 1.777 * [taylor]: Taking taylor expansion of f in f 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [taylor]: Taking taylor expansion of n in f 1.777 * [backup-simplify]: Simplify n into n 1.777 * [backup-simplify]: Simplify (+ n 0) into n 1.777 * [backup-simplify]: Simplify (- n) into (- n) 1.777 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 1.777 * [backup-simplify]: Simplify (/ n (- n)) into -1 1.778 * [backup-simplify]: Simplify (* -1 -1) into 1 1.778 * [backup-simplify]: Simplify (exp 1) into E 1.778 * [taylor]: Taking taylor expansion of 1 in f 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (- 1) into -1 1.779 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.780 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.780 * [backup-simplify]: Simplify (log E) into 1 1.780 * [taylor]: Taking taylor expansion of 1 in n 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (+ 0 1) into 1 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.782 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 1.782 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 1.783 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 1.783 * [backup-simplify]: Simplify (- 0) into 0 1.783 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 1.783 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 1.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 1.784 * [taylor]: Taking taylor expansion of (/ 2 n) in n 1.784 * [taylor]: Taking taylor expansion of 2 in n 1.784 * [backup-simplify]: Simplify 2 into 2 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ 2 1) into 2 1.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 1.789 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 1.790 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 1.791 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 1.792 * [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)) 1.792 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 1.793 * [taylor]: Taking taylor expansion of 2 in n 1.793 * [backup-simplify]: Simplify 2 into 2 1.793 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.793 * [taylor]: Taking taylor expansion of n in n 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (* 1 1) into 1 1.793 * [backup-simplify]: Simplify (/ 2 1) into 2 1.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 1.801 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 1.802 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.803 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 1.803 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 1.806 * [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)) 1.806 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 1.806 * [taylor]: Taking taylor expansion of 2 in n 1.807 * [backup-simplify]: Simplify 2 into 2 1.807 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (* 1 1) into 1 1.807 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 2 1) into 2 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [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)))))) 1.817 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in (f n) around 0 1.817 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.817 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.817 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 1.817 * [taylor]: Taking taylor expansion of 1 in n 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.817 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.817 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 1.817 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 1.817 * [taylor]: Taking taylor expansion of -1 in n 1.817 * [backup-simplify]: Simplify -1 into -1 1.817 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.817 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.817 * [taylor]: Taking taylor expansion of f in n 1.817 * [backup-simplify]: Simplify f into f 1.817 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 1.818 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.818 * [taylor]: Taking taylor expansion of f in n 1.818 * [backup-simplify]: Simplify f into f 1.818 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.818 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.818 * [taylor]: Taking taylor expansion of n in n 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify (+ 0 1) into 1 1.819 * [backup-simplify]: Simplify (- 1) into -1 1.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.820 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.821 * [backup-simplify]: Simplify (* -1 -1) into 1 1.821 * [backup-simplify]: Simplify (exp 1) into E 1.821 * [taylor]: Taking taylor expansion of 1 in n 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (- 1) into -1 1.822 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.823 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.823 * [backup-simplify]: Simplify (log E) into 1 1.823 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.823 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.823 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.823 * [taylor]: Taking taylor expansion of 1 in f 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.824 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.824 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.824 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.824 * [taylor]: Taking taylor expansion of -1 in f 1.824 * [backup-simplify]: Simplify -1 into -1 1.824 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.824 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.824 * [taylor]: Taking taylor expansion of f in f 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.824 * [taylor]: Taking taylor expansion of n in f 1.824 * [backup-simplify]: Simplify n into n 1.824 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.825 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.825 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.825 * [taylor]: Taking taylor expansion of f in f 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.825 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.825 * [taylor]: Taking taylor expansion of n in f 1.825 * [backup-simplify]: Simplify n into n 1.825 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.826 * [backup-simplify]: Simplify (+ 1 0) into 1 1.826 * [backup-simplify]: Simplify (+ 1 0) into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [backup-simplify]: Simplify (* -1 1) into -1 1.827 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.827 * [taylor]: Taking taylor expansion of 1 in f 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (- 1) into -1 1.829 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.830 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.831 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.831 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.831 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) 1.831 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 1.831 * [taylor]: Taking taylor expansion of 1 in f 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.831 * [taylor]: Rewrote expression to (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 1.831 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 1.831 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 1.831 * [taylor]: Taking taylor expansion of -1 in f 1.832 * [backup-simplify]: Simplify -1 into -1 1.832 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 1.832 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.832 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.832 * [taylor]: Taking taylor expansion of f in f 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.839 * [taylor]: Taking taylor expansion of n in f 1.839 * [backup-simplify]: Simplify n into n 1.839 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.839 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 1.839 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.839 * [taylor]: Taking taylor expansion of f in f 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.840 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.840 * [taylor]: Taking taylor expansion of n in f 1.840 * [backup-simplify]: Simplify n into n 1.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.841 * [backup-simplify]: Simplify (+ 1 0) into 1 1.841 * [backup-simplify]: Simplify (+ 1 0) into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [backup-simplify]: Simplify (* -1 1) into -1 1.843 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.843 * [taylor]: Taking taylor expansion of 1 in f 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (- 1) into -1 1.844 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.845 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.846 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.846 * [taylor]: Taking taylor expansion of -1 in n 1.846 * [backup-simplify]: Simplify -1 into -1 1.846 * [backup-simplify]: Simplify -1 into -1 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 1.848 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 1.849 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 1.849 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 1.850 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.851 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 1.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 1.853 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.853 * [taylor]: Taking taylor expansion of -2 in n 1.853 * [backup-simplify]: Simplify -2 into -2 1.853 * [taylor]: Taking taylor expansion of n in n 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ -2 1) into -2 1.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.858 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 1.860 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 1.861 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [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)) 1.865 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.866 * [taylor]: Taking taylor expansion of -2 in n 1.866 * [backup-simplify]: Simplify -2 into -2 1.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ -2 1) into -2 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.875 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 1.878 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.880 * [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))) 1.880 * [backup-simplify]: Simplify (- 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.881 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.884 * [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)) 1.884 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.884 * [taylor]: Taking taylor expansion of -2 in n 1.884 * [backup-simplify]: Simplify -2 into -2 1.884 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* 1 1) into 1 1.885 * [backup-simplify]: Simplify (* 1 1) into 1 1.885 * [backup-simplify]: Simplify (/ -2 1) into -2 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify -1 into -1 1.890 * [backup-simplify]: Simplify (log1p (expm1 (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) into (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) 1.890 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in (f n) around 0 1.890 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.890 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.890 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 1.890 * [taylor]: Taking taylor expansion of 1 in n 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.890 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.890 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 1.890 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 1.890 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.890 * [taylor]: Taking taylor expansion of f in n 1.890 * [backup-simplify]: Simplify f into f 1.890 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.890 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.890 * [taylor]: Taking taylor expansion of n in n 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 1.891 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [taylor]: Taking taylor expansion of (/ 1 f) in n 1.891 * [taylor]: Taking taylor expansion of f in n 1.891 * [backup-simplify]: Simplify f into f 1.891 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 1.891 * [backup-simplify]: Simplify (+ 0 1) into 1 1.891 * [backup-simplify]: Simplify (+ 1 0) into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [backup-simplify]: Simplify (exp 1) into E 1.892 * [taylor]: Taking taylor expansion of 1 in n 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify (- 1) into -1 1.892 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 1.893 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 1.893 * [backup-simplify]: Simplify (log E) into 1 1.893 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.893 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.893 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.893 * [taylor]: Taking taylor expansion of 1 in f 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.893 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.893 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.893 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.893 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.893 * [taylor]: Taking taylor expansion of f in f 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.894 * [taylor]: Taking taylor expansion of n in f 1.894 * [backup-simplify]: Simplify n into n 1.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.894 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.894 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.894 * [taylor]: Taking taylor expansion of n in f 1.894 * [backup-simplify]: Simplify n into n 1.894 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.894 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.894 * [taylor]: Taking taylor expansion of f in f 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [backup-simplify]: Simplify (+ 1 0) into 1 1.895 * [backup-simplify]: Simplify (- 1) into -1 1.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.895 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.896 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.896 * [taylor]: Taking taylor expansion of 1 in f 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (- 1) into -1 1.896 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.898 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.898 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.898 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.898 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) 1.898 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 1.898 * [taylor]: Taking taylor expansion of 1 in f 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [taylor]: Taking taylor expansion of (expm1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.898 * [taylor]: Rewrote expression to (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 1.898 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 1.898 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 1.898 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.899 * [taylor]: Taking taylor expansion of n in f 1.899 * [backup-simplify]: Simplify n into n 1.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.899 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 1.899 * [taylor]: Taking taylor expansion of (/ 1 n) in f 1.899 * [taylor]: Taking taylor expansion of n in f 1.899 * [backup-simplify]: Simplify n into n 1.899 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.899 * [taylor]: Taking taylor expansion of (/ 1 f) in f 1.899 * [taylor]: Taking taylor expansion of f in f 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify (+ 1 0) into 1 1.900 * [backup-simplify]: Simplify (- 1) into -1 1.900 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.900 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.901 * [backup-simplify]: Simplify (exp -1) into (exp -1) 1.901 * [taylor]: Taking taylor expansion of 1 in f 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (- 1) into -1 1.901 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 1.902 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 1.903 * [backup-simplify]: Simplify (log (exp -1)) into -1 1.903 * [taylor]: Taking taylor expansion of -1 in n 1.903 * [backup-simplify]: Simplify -1 into -1 1.903 * [backup-simplify]: Simplify -1 into -1 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 1.904 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 1.905 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 1.906 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 1.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 1.907 * [taylor]: Taking taylor expansion of (/ -2 n) in n 1.907 * [taylor]: Taking taylor expansion of -2 in n 1.907 * [backup-simplify]: Simplify -2 into -2 1.907 * [taylor]: Taking taylor expansion of n in n 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ -2 1) into -2 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 1.914 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 1.918 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 1.918 * [taylor]: Taking taylor expansion of -2 in n 1.918 * [backup-simplify]: Simplify -2 into -2 1.918 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.918 * [taylor]: Taking taylor expansion of n in n 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (/ -2 1) into -2 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 1.930 * [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))) 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 1.932 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 1.938 * [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)) 1.938 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 1.938 * [taylor]: Taking taylor expansion of -2 in n 1.938 * [backup-simplify]: Simplify -2 into -2 1.938 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ -2 1) into -2 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * * * [progress]: simplifying candidates 1.951 * [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)) (/ 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 (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 1.956 * * [simplify]: Extracting # 0 : cost 0 1.956 * * [simplify]: Extracting # 1 : cost 0 1.957 * * [simplify]: Extracting # 2 : cost 0 1.957 * * [simplify]: Extracting # 3 : cost 0 1.957 * * [simplify]: Extracting # 4 : cost 0 1.958 * * [simplify]: Extracting # 5 : cost 0 1.958 * * [simplify]: iteration 0 : 158 enodes (cost 1755 ) 2.009 * * [simplify]: Extracting # 0 : cost 0 2.009 * * [simplify]: Extracting # 1 : cost 0 2.010 * * [simplify]: Extracting # 2 : cost 0 2.010 * * [simplify]: Extracting # 3 : cost 0 2.010 * * [simplify]: Extracting # 4 : cost 0 2.011 * * [simplify]: iteration 1 : 352 enodes (cost 1651 ) 2.134 * * [simplify]: Extracting # 0 : cost 0 2.136 * * [simplify]: Extracting # 1 : cost 0 2.138 * * [simplify]: Extracting # 2 : cost 0 2.139 * * [simplify]: Extracting # 3 : cost 0 2.141 * * [simplify]: Extracting # 4 : cost 0 2.142 * * [simplify]: iteration 2 : 1142 enodes (cost 1589 ) 2.704 * * [simplify]: Extracting # 0 : cost 0 2.717 * * [simplify]: Extracting # 1 : cost 0 2.727 * * [simplify]: Extracting # 2 : cost 0 2.733 * * [simplify]: Extracting # 3 : cost 0 2.739 * * [simplify]: Extracting # 4 : cost 0 2.744 * * [simplify]: Extracting # 5 : cost 0 2.751 * * [simplify]: iteration done: 5001 enodes (cost 1581 ) 2.751 * [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) (- (- f n)) 0 (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (/ (cbrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (- (+ f n))) (cbrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (/ (sqrt (- (+ f n))) (sqrt (- f n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (- (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (- (+ f n))) (/ (sqrt (- (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (+ f n)) (cbrt (- f n))) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n))) (/ (cbrt (+ f n)) (sqrt (- f n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (+ f n)) (- (sqrt f) (sqrt n))) (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (/ (cbrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (- (/ 1 (- f n))) (* (- f n) (fma f f (* n (- n f)))) (* (- 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 2.752 * * * [progress]: adding candidates to table 3.185 * * [progress]: iteration 3 / 4 3.185 * * * [progress]: picking best candidate 3.196 * * * * [pick]: Picked # 3.196 * * * [progress]: localizing error 3.222 * * * [progress]: generating rewritten candidates 3.222 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.525 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.682 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.704 * * * [progress]: generating series expansions 3.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.704 * [backup-simplify]: Simplify (- (exp (/ (- (+ f n)) (- f n))) 1) into (- (exp (* -1 (/ (+ n f) (- f n)))) 1) 3.704 * [approximate]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in (f n) around 0 3.704 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in n 3.704 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.704 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.704 * [taylor]: Taking taylor expansion of -1 in n 3.704 * [backup-simplify]: Simplify -1 into -1 3.704 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.704 * [taylor]: Taking taylor expansion of (+ n f) in n 3.704 * [taylor]: Taking taylor expansion of n in n 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of f in n 3.705 * [backup-simplify]: Simplify f into f 3.705 * [taylor]: Taking taylor expansion of (- f n) in n 3.705 * [taylor]: Taking taylor expansion of f in n 3.705 * [backup-simplify]: Simplify f into f 3.705 * [taylor]: Taking taylor expansion of n in n 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [backup-simplify]: Simplify (+ 0 f) into f 3.705 * [backup-simplify]: Simplify (- 0) into 0 3.705 * [backup-simplify]: Simplify (+ f 0) into f 3.706 * [backup-simplify]: Simplify (/ f f) into 1 3.706 * [backup-simplify]: Simplify (* -1 1) into -1 3.706 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.706 * [taylor]: Taking taylor expansion of 1 in n 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in f 3.706 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.707 * [taylor]: Taking taylor expansion of -1 in f 3.707 * [backup-simplify]: Simplify -1 into -1 3.707 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.707 * [taylor]: Taking taylor expansion of (+ n f) in f 3.707 * [taylor]: Taking taylor expansion of n in f 3.707 * [backup-simplify]: Simplify n into n 3.707 * [taylor]: Taking taylor expansion of f in f 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [taylor]: Taking taylor expansion of (- f n) in f 3.707 * [taylor]: Taking taylor expansion of f in f 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [taylor]: Taking taylor expansion of n in f 3.707 * [backup-simplify]: Simplify n into n 3.707 * [backup-simplify]: Simplify (+ n 0) into n 3.707 * [backup-simplify]: Simplify (- n) into (- n) 3.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.707 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.707 * [backup-simplify]: Simplify (* -1 -1) into 1 3.708 * [backup-simplify]: Simplify (exp 1) into E 3.708 * [taylor]: Taking taylor expansion of 1 in f 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in f 3.708 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.708 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.708 * [taylor]: Taking taylor expansion of -1 in f 3.708 * [backup-simplify]: Simplify -1 into -1 3.708 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.708 * [taylor]: Taking taylor expansion of (+ n f) in f 3.708 * [taylor]: Taking taylor expansion of n in f 3.708 * [backup-simplify]: Simplify n into n 3.708 * [taylor]: Taking taylor expansion of f in f 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [taylor]: Taking taylor expansion of (- f n) in f 3.708 * [taylor]: Taking taylor expansion of f in f 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [taylor]: Taking taylor expansion of n in f 3.708 * [backup-simplify]: Simplify n into n 3.708 * [backup-simplify]: Simplify (+ n 0) into n 3.708 * [backup-simplify]: Simplify (- n) into (- n) 3.708 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.708 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.709 * [backup-simplify]: Simplify (* -1 -1) into 1 3.709 * [backup-simplify]: Simplify (exp 1) into E 3.709 * [taylor]: Taking taylor expansion of 1 in f 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (- 1) into -1 3.710 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.710 * [taylor]: Taking taylor expansion of (- E 1) in n 3.710 * [taylor]: Taking taylor expansion of E in n 3.710 * [backup-simplify]: Simplify E into E 3.710 * [taylor]: Taking taylor expansion of 1 in n 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (- 1) into -1 3.711 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 3.711 * [backup-simplify]: Simplify (- E 1) into (- E 1) 3.711 * [backup-simplify]: Simplify (+ 0 1) into 1 3.712 * [backup-simplify]: Simplify (- 0) into 0 3.712 * [backup-simplify]: Simplify (+ 1 0) into 1 3.712 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.713 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.713 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.714 * [backup-simplify]: Simplify (- 0) into 0 3.714 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 3.714 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 3.714 * [taylor]: Taking taylor expansion of 2 in n 3.714 * [backup-simplify]: Simplify 2 into 2 3.714 * [taylor]: Taking taylor expansion of (/ E n) in n 3.714 * [taylor]: Taking taylor expansion of E in n 3.714 * [backup-simplify]: Simplify E into E 3.714 * [taylor]: Taking taylor expansion of n in n 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (/ E 1) into E 3.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (- 0) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.719 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.720 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.720 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 3.721 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 3.721 * [taylor]: Taking taylor expansion of 4 in n 3.721 * [backup-simplify]: Simplify 4 into 4 3.721 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 3.721 * [taylor]: Taking taylor expansion of E in n 3.721 * [backup-simplify]: Simplify E into E 3.721 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.721 * [taylor]: Taking taylor expansion of n in n 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (* 1 1) into 1 3.722 * [backup-simplify]: Simplify (/ E 1) into E 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify (- 0) into 0 3.731 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [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)))) 3.732 * [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))) 3.733 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.734 * [backup-simplify]: Simplify (- 0) into 0 3.734 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 3.734 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 3.734 * [taylor]: Taking taylor expansion of 22/3 in n 3.734 * [backup-simplify]: Simplify 22/3 into 22/3 3.734 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 3.734 * [taylor]: Taking taylor expansion of E in n 3.734 * [backup-simplify]: Simplify E into E 3.734 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.734 * [taylor]: Taking taylor expansion of n in n 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.735 * [backup-simplify]: Simplify (/ E 1) into E 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (- E 1) into (- E 1) 3.745 * [backup-simplify]: Simplify (- (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) 1) into (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) 3.746 * [approximate]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in (f n) around 0 3.746 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in n 3.746 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.746 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.746 * [taylor]: Taking taylor expansion of -1 in n 3.746 * [backup-simplify]: Simplify -1 into -1 3.746 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.746 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.746 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.746 * [taylor]: Taking taylor expansion of f in n 3.746 * [backup-simplify]: Simplify f into f 3.746 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.746 * [taylor]: Taking taylor expansion of n in n 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.747 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.747 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.747 * [taylor]: Taking taylor expansion of f in n 3.747 * [backup-simplify]: Simplify f into f 3.747 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.747 * [taylor]: Taking taylor expansion of n in n 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1 1) into 1 3.748 * [backup-simplify]: Simplify (+ 0 1) into 1 3.748 * [backup-simplify]: Simplify (- 1) into -1 3.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.749 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.749 * [backup-simplify]: Simplify (* -1 -1) into 1 3.750 * [backup-simplify]: Simplify (exp 1) into E 3.750 * [taylor]: Taking taylor expansion of 1 in n 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 3.750 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.750 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.750 * [taylor]: Taking taylor expansion of -1 in f 3.750 * [backup-simplify]: Simplify -1 into -1 3.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.750 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.750 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.750 * [taylor]: Taking taylor expansion of f in f 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (/ 1 1) into 1 3.750 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.750 * [taylor]: Taking taylor expansion of n in f 3.750 * [backup-simplify]: Simplify n into n 3.750 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.750 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.751 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.751 * [taylor]: Taking taylor expansion of f in f 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.751 * [taylor]: Taking taylor expansion of n in f 3.751 * [backup-simplify]: Simplify n into n 3.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.751 * [backup-simplify]: Simplify (+ 1 0) into 1 3.759 * [backup-simplify]: Simplify (+ 1 0) into 1 3.759 * [backup-simplify]: Simplify (/ 1 1) into 1 3.760 * [backup-simplify]: Simplify (* -1 1) into -1 3.760 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.760 * [taylor]: Taking taylor expansion of 1 in f 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 3.760 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.760 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.760 * [taylor]: Taking taylor expansion of -1 in f 3.760 * [backup-simplify]: Simplify -1 into -1 3.760 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.760 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.760 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.761 * [taylor]: Taking taylor expansion of f in f 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.761 * [backup-simplify]: Simplify (/ 1 1) into 1 3.761 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.761 * [taylor]: Taking taylor expansion of n in f 3.761 * [backup-simplify]: Simplify n into n 3.761 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.761 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.761 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.761 * [taylor]: Taking taylor expansion of f in f 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (/ 1 1) into 1 3.762 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.762 * [taylor]: Taking taylor expansion of n in f 3.762 * [backup-simplify]: Simplify n into n 3.762 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.763 * [backup-simplify]: Simplify (+ 1 0) into 1 3.763 * [backup-simplify]: Simplify (+ 1 0) into 1 3.763 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [backup-simplify]: Simplify (* -1 1) into -1 3.764 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.764 * [taylor]: Taking taylor expansion of 1 in f 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (- 1) into -1 3.766 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.766 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 3.766 * [taylor]: Taking taylor expansion of (exp -1) in n 3.766 * [taylor]: Taking taylor expansion of -1 in n 3.766 * [backup-simplify]: Simplify -1 into -1 3.766 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.766 * [taylor]: Taking taylor expansion of 1 in n 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (- 1) into -1 3.767 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.768 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.770 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.770 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.771 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.771 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.772 * [backup-simplify]: Simplify (- 0) into 0 3.772 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 3.772 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 3.772 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 3.772 * [taylor]: Taking taylor expansion of 2 in n 3.772 * [backup-simplify]: Simplify 2 into 2 3.772 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.772 * [taylor]: Taking taylor expansion of (exp -1) in n 3.772 * [taylor]: Taking taylor expansion of -1 in n 3.772 * [backup-simplify]: Simplify -1 into -1 3.773 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.773 * [taylor]: Taking taylor expansion of n in n 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.774 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 3.775 * [backup-simplify]: Simplify (- 0) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.776 * [backup-simplify]: Simplify (- 0) into 0 3.776 * [backup-simplify]: Simplify (+ 0 0) into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.777 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.778 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [backup-simplify]: Simplify (+ 0 0) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.779 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.780 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.780 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [taylor]: Taking taylor expansion of 0 in n 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.783 * [backup-simplify]: Simplify (- 0) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.784 * [backup-simplify]: Simplify (- 0) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.786 * [backup-simplify]: Simplify (- 0) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [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))) 3.788 * [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)))) 3.789 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.789 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 3.789 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.789 * [taylor]: Taking taylor expansion of 2/3 in n 3.789 * [backup-simplify]: Simplify 2/3 into 2/3 3.789 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.789 * [taylor]: Taking taylor expansion of (exp -1) in n 3.789 * [taylor]: Taking taylor expansion of -1 in n 3.789 * [backup-simplify]: Simplify -1 into -1 3.790 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.790 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.790 * [taylor]: Taking taylor expansion of n in n 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (* 1 1) into 1 3.790 * [backup-simplify]: Simplify (* 1 1) into 1 3.791 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.792 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.795 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.800 * [backup-simplify]: Simplify (- (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) 1) into (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) 3.800 * [approximate]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in (f n) around 0 3.800 * [taylor]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in n 3.800 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 3.800 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.800 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.800 * [taylor]: Taking taylor expansion of f in n 3.800 * [backup-simplify]: Simplify f into f 3.800 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.800 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.800 * [taylor]: Taking taylor expansion of n in n 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.801 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.801 * [taylor]: Taking taylor expansion of n in n 3.801 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.801 * [taylor]: Taking taylor expansion of f in n 3.801 * [backup-simplify]: Simplify f into f 3.801 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.801 * [backup-simplify]: Simplify (+ 0 1) into 1 3.802 * [backup-simplify]: Simplify (+ 1 0) into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [backup-simplify]: Simplify (exp 1) into E 3.802 * [taylor]: Taking taylor expansion of 1 in n 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [taylor]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 3.802 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.802 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.802 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.802 * [taylor]: Taking taylor expansion of f in f 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.802 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.802 * [taylor]: Taking taylor expansion of n in f 3.802 * [backup-simplify]: Simplify n into n 3.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.802 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.802 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.802 * [taylor]: Taking taylor expansion of n in f 3.802 * [backup-simplify]: Simplify n into n 3.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.803 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.803 * [taylor]: Taking taylor expansion of f in f 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (/ 1 1) into 1 3.803 * [backup-simplify]: Simplify (+ 1 0) into 1 3.803 * [backup-simplify]: Simplify (- 1) into -1 3.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.804 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.804 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.804 * [taylor]: Taking taylor expansion of 1 in f 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [taylor]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 3.804 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 3.804 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.804 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.805 * [taylor]: Taking taylor expansion of f in f 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.805 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.805 * [taylor]: Taking taylor expansion of n in f 3.805 * [backup-simplify]: Simplify n into n 3.805 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.805 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.805 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.805 * [taylor]: Taking taylor expansion of n in f 3.805 * [backup-simplify]: Simplify n into n 3.805 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.805 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.805 * [taylor]: Taking taylor expansion of f in f 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.806 * [backup-simplify]: Simplify (+ 1 0) into 1 3.806 * [backup-simplify]: Simplify (- 1) into -1 3.806 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.806 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.807 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.807 * [taylor]: Taking taylor expansion of 1 in f 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [backup-simplify]: Simplify (- 1) into -1 3.807 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.807 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 3.807 * [taylor]: Taking taylor expansion of (exp -1) in n 3.807 * [taylor]: Taking taylor expansion of -1 in n 3.807 * [backup-simplify]: Simplify -1 into -1 3.808 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.808 * [taylor]: Taking taylor expansion of 1 in n 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (- 1) into -1 3.808 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 3.809 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (- 0) into 0 3.810 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.810 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.811 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 3.811 * [backup-simplify]: Simplify (- 0) into 0 3.811 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 3.811 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 3.811 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 3.811 * [taylor]: Taking taylor expansion of 2 in n 3.811 * [backup-simplify]: Simplify 2 into 2 3.811 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 3.811 * [taylor]: Taking taylor expansion of (exp -1) in n 3.811 * [taylor]: Taking taylor expansion of -1 in n 3.812 * [backup-simplify]: Simplify -1 into -1 3.812 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.812 * [taylor]: Taking taylor expansion of n in n 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.814 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 3.816 * [backup-simplify]: Simplify (- 0) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.818 * [backup-simplify]: Simplify (- 0) into 0 3.818 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.820 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (- 0) into 0 3.822 * [backup-simplify]: Simplify (+ 0 0) into 0 3.823 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.824 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 3.824 * [backup-simplify]: Simplify (- 0) into 0 3.825 * [backup-simplify]: Simplify (+ 0 0) into 0 3.825 * [taylor]: Taking taylor expansion of 0 in n 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.832 * [backup-simplify]: Simplify (- 0) into 0 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (- 0) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.837 * [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)))) 3.839 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 3.839 * [backup-simplify]: Simplify (- 0) into 0 3.840 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 3.840 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 3.840 * [taylor]: Taking taylor expansion of 2/3 in n 3.840 * [backup-simplify]: Simplify 2/3 into 2/3 3.840 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 3.840 * [taylor]: Taking taylor expansion of (exp -1) in n 3.840 * [taylor]: Taking taylor expansion of -1 in n 3.840 * [backup-simplify]: Simplify -1 into -1 3.841 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.841 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.841 * [taylor]: Taking taylor expansion of n in n 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (* 1 1) into 1 3.842 * [backup-simplify]: Simplify (* 1 1) into 1 3.843 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 3.845 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.854 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 3.858 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.858 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 3.858 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 3.858 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.858 * [taylor]: Taking taylor expansion of -1 in n 3.858 * [backup-simplify]: Simplify -1 into -1 3.858 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.858 * [taylor]: Taking taylor expansion of (+ n f) in n 3.858 * [taylor]: Taking taylor expansion of n in n 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [taylor]: Taking taylor expansion of f in n 3.859 * [backup-simplify]: Simplify f into f 3.859 * [taylor]: Taking taylor expansion of (- f n) in n 3.859 * [taylor]: Taking taylor expansion of f in n 3.859 * [backup-simplify]: Simplify f into f 3.859 * [taylor]: Taking taylor expansion of n in n 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (+ 0 f) into f 3.859 * [backup-simplify]: Simplify (- 0) into 0 3.859 * [backup-simplify]: Simplify (+ f 0) into f 3.859 * [backup-simplify]: Simplify (/ f f) into 1 3.859 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.859 * [taylor]: Taking taylor expansion of -1 in f 3.859 * [backup-simplify]: Simplify -1 into -1 3.859 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.859 * [taylor]: Taking taylor expansion of (+ n f) in f 3.859 * [taylor]: Taking taylor expansion of n in f 3.859 * [backup-simplify]: Simplify n into n 3.859 * [taylor]: Taking taylor expansion of f in f 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [taylor]: Taking taylor expansion of (- f n) in f 3.860 * [taylor]: Taking taylor expansion of f in f 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [taylor]: Taking taylor expansion of n in f 3.860 * [backup-simplify]: Simplify n into n 3.860 * [backup-simplify]: Simplify (+ n 0) into n 3.860 * [backup-simplify]: Simplify (- n) into (- n) 3.860 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.860 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.860 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.860 * [taylor]: Taking taylor expansion of -1 in f 3.860 * [backup-simplify]: Simplify -1 into -1 3.860 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.860 * [taylor]: Taking taylor expansion of (+ n f) in f 3.860 * [taylor]: Taking taylor expansion of n in f 3.860 * [backup-simplify]: Simplify n into n 3.860 * [taylor]: Taking taylor expansion of f in f 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [taylor]: Taking taylor expansion of (- f n) in f 3.860 * [taylor]: Taking taylor expansion of f in f 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [taylor]: Taking taylor expansion of n in f 3.860 * [backup-simplify]: Simplify n into n 3.860 * [backup-simplify]: Simplify (+ n 0) into n 3.860 * [backup-simplify]: Simplify (- n) into (- n) 3.860 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.861 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.861 * [backup-simplify]: Simplify (* -1 -1) into 1 3.861 * [taylor]: Taking taylor expansion of 1 in n 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (+ 0 1) into 1 3.862 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 1 0) into 1 3.862 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.863 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.863 * [taylor]: Taking taylor expansion of 2 in n 3.863 * [backup-simplify]: Simplify 2 into 2 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 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [backup-simplify]: Simplify (- 0) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 3.866 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 3.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.866 * [taylor]: Taking taylor expansion of 2 in n 3.866 * [backup-simplify]: Simplify 2 into 2 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.866 * [taylor]: Taking taylor expansion of n in n 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 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [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)))) 3.872 * [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))) 3.872 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.872 * [taylor]: Taking taylor expansion of 2 in n 3.872 * [backup-simplify]: Simplify 2 into 2 3.872 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.872 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.872 * [taylor]: Taking taylor expansion of n in n 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (/ 1 1) into 1 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 3.885 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 3.885 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.885 * [taylor]: Taking taylor expansion of -1 in n 3.885 * [backup-simplify]: Simplify -1 into -1 3.885 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.885 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.885 * [taylor]: Taking taylor expansion of f in n 3.885 * [backup-simplify]: Simplify f into f 3.885 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.885 * [taylor]: Taking taylor expansion of n in n 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (/ 1 1) into 1 3.885 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.885 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.885 * [taylor]: Taking taylor expansion of f in n 3.885 * [backup-simplify]: Simplify f into f 3.885 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.885 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.885 * [taylor]: Taking taylor expansion of n in n 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (/ 1 1) into 1 3.886 * [backup-simplify]: Simplify (+ 0 1) into 1 3.886 * [backup-simplify]: Simplify (- 1) into -1 3.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.887 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.887 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.887 * [taylor]: Taking taylor expansion of -1 in f 3.887 * [backup-simplify]: Simplify -1 into -1 3.887 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.887 * [taylor]: Taking taylor expansion of f in f 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.887 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.887 * [taylor]: Taking taylor expansion of n in f 3.887 * [backup-simplify]: Simplify n into n 3.887 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.887 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.887 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.887 * [taylor]: Taking taylor expansion of f in f 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (/ 1 1) into 1 3.888 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.888 * [taylor]: Taking taylor expansion of n in f 3.888 * [backup-simplify]: Simplify n into n 3.888 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.888 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (+ 1 0) into 1 3.888 * [backup-simplify]: Simplify (/ 1 1) into 1 3.888 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.888 * [taylor]: Taking taylor expansion of -1 in f 3.888 * [backup-simplify]: Simplify -1 into -1 3.888 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.889 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.889 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.889 * [taylor]: Taking taylor expansion of f in f 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (/ 1 1) into 1 3.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.889 * [taylor]: Taking taylor expansion of n in f 3.889 * [backup-simplify]: Simplify n into n 3.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.889 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.889 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.889 * [taylor]: Taking taylor expansion of f in f 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 1 into 1 3.889 * [backup-simplify]: Simplify (/ 1 1) into 1 3.889 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.889 * [taylor]: Taking taylor expansion of n in f 3.889 * [backup-simplify]: Simplify n into n 3.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.890 * [backup-simplify]: Simplify (+ 1 0) into 1 3.890 * [backup-simplify]: Simplify (+ 1 0) into 1 3.890 * [backup-simplify]: Simplify (/ 1 1) into 1 3.890 * [backup-simplify]: Simplify (* -1 1) into -1 3.890 * [taylor]: Taking taylor expansion of -1 in n 3.890 * [backup-simplify]: Simplify -1 into -1 3.890 * [backup-simplify]: Simplify -1 into -1 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.892 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.892 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.892 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 3.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.892 * [taylor]: Taking taylor expansion of 2 in n 3.892 * [backup-simplify]: Simplify 2 into 2 3.892 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.892 * [taylor]: Taking taylor expansion of n in n 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.895 * [backup-simplify]: Simplify (- 0) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 3.897 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 3.897 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) 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 2)) in n 3.897 * [taylor]: Taking taylor expansion of (pow n 2) 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 3.897 * [backup-simplify]: Simplify (* 1 1) into 1 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.900 * [backup-simplify]: Simplify (- 0) into 0 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.901 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.901 * [backup-simplify]: Simplify (- 0) into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.903 * [backup-simplify]: Simplify (- 0) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [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))) 3.906 * [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)))) 3.906 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.906 * [taylor]: Taking taylor expansion of 2 in n 3.906 * [backup-simplify]: Simplify 2 into 2 3.906 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.906 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.906 * [taylor]: Taking taylor expansion of n in n 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (* 1 1) into 1 3.907 * [backup-simplify]: Simplify (* 1 1) into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (- 0) into 0 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify -1 into -1 3.917 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 3.917 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 3.917 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 3.917 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.917 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.917 * [taylor]: Taking taylor expansion of f in n 3.917 * [backup-simplify]: Simplify f into f 3.917 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.917 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.917 * [taylor]: Taking taylor expansion of n in n 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 3.917 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.917 * [taylor]: Taking taylor expansion of n in n 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.918 * [taylor]: Taking taylor expansion of f in n 3.918 * [backup-simplify]: Simplify f into f 3.918 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.918 * [backup-simplify]: Simplify (+ 0 1) into 1 3.919 * [backup-simplify]: Simplify (+ 1 0) into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.919 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.919 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.919 * [taylor]: Taking taylor expansion of f in f 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.920 * [taylor]: Taking taylor expansion of n in f 3.920 * [backup-simplify]: Simplify n into n 3.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.920 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.920 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.920 * [taylor]: Taking taylor expansion of n in f 3.920 * [backup-simplify]: Simplify n into n 3.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.920 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.920 * [taylor]: Taking taylor expansion of f in f 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [backup-simplify]: Simplify (+ 1 0) into 1 3.921 * [backup-simplify]: Simplify (- 1) into -1 3.922 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.922 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.922 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.922 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.922 * [taylor]: Taking taylor expansion of f in f 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.923 * [taylor]: Taking taylor expansion of n in f 3.923 * [backup-simplify]: Simplify n into n 3.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.923 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 3.923 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.923 * [taylor]: Taking taylor expansion of n in f 3.923 * [backup-simplify]: Simplify n into n 3.923 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.923 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.923 * [taylor]: Taking taylor expansion of f in f 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.924 * [backup-simplify]: Simplify (+ 1 0) into 1 3.924 * [backup-simplify]: Simplify (- 1) into -1 3.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.925 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.925 * [taylor]: Taking taylor expansion of -1 in n 3.925 * [backup-simplify]: Simplify -1 into -1 3.925 * [backup-simplify]: Simplify -1 into -1 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.927 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 3.927 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 3.927 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 3.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 3.927 * [taylor]: Taking taylor expansion of 2 in n 3.927 * [backup-simplify]: Simplify 2 into 2 3.927 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.927 * [taylor]: Taking taylor expansion of n in n 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.930 * [backup-simplify]: Simplify (- 0) into 0 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (- 0) into 0 3.932 * [backup-simplify]: Simplify (+ 0 0) into 0 3.933 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 3.933 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 3.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 3.933 * [taylor]: Taking taylor expansion of 2 in n 3.933 * [backup-simplify]: Simplify 2 into 2 3.933 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.933 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.933 * [taylor]: Taking taylor expansion of n in n 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (* 1 1) into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.938 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.939 * [backup-simplify]: Simplify (+ 0 0) into 0 3.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (- 0) into 0 3.940 * [backup-simplify]: Simplify (+ 0 0) into 0 3.941 * [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)))) 3.941 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 3.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 3.941 * [taylor]: Taking taylor expansion of 2 in n 3.941 * [backup-simplify]: Simplify 2 into 2 3.941 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 3.941 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.941 * [taylor]: Taking taylor expansion of n in n 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.942 * [backup-simplify]: Simplify (/ 1 1) into 1 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (- 0) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify -1 into -1 3.947 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.948 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 3.948 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 3.948 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 3.948 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 3.948 * [taylor]: Taking taylor expansion of -1 in n 3.948 * [backup-simplify]: Simplify -1 into -1 3.948 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 3.948 * [taylor]: Taking taylor expansion of (+ n f) in n 3.948 * [taylor]: Taking taylor expansion of n in n 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [taylor]: Taking taylor expansion of f in n 3.948 * [backup-simplify]: Simplify f into f 3.948 * [taylor]: Taking taylor expansion of (- f n) in n 3.948 * [taylor]: Taking taylor expansion of f in n 3.948 * [backup-simplify]: Simplify f into f 3.948 * [taylor]: Taking taylor expansion of n in n 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify (+ 0 f) into f 3.948 * [backup-simplify]: Simplify (- 0) into 0 3.948 * [backup-simplify]: Simplify (+ f 0) into f 3.948 * [backup-simplify]: Simplify (/ f f) into 1 3.949 * [backup-simplify]: Simplify (* -1 1) into -1 3.949 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.949 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.949 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 3.949 * [taylor]: Taking taylor expansion of -1 in f 3.949 * [backup-simplify]: Simplify -1 into -1 3.949 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 3.949 * [taylor]: Taking taylor expansion of (+ n f) in f 3.949 * [taylor]: Taking taylor expansion of n in f 3.949 * [backup-simplify]: Simplify n into n 3.949 * [taylor]: Taking taylor expansion of f in f 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [taylor]: Taking taylor expansion of (- f n) in f 3.949 * [taylor]: Taking taylor expansion of f in f 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [taylor]: Taking taylor expansion of n in f 3.949 * [backup-simplify]: Simplify n into n 3.949 * [backup-simplify]: Simplify (+ n 0) into n 3.949 * [backup-simplify]: Simplify (- n) into (- n) 3.949 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 3.949 * [backup-simplify]: Simplify (/ n (- n)) into -1 3.949 * [backup-simplify]: Simplify (* -1 -1) into 1 3.949 * [backup-simplify]: Simplify (exp 1) into E 3.949 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 3.949 * [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 * [backup-simplify]: Simplify (* -1 -1) into 1 3.950 * [backup-simplify]: Simplify (exp 1) into E 3.950 * [taylor]: Taking taylor expansion of E in n 3.950 * [backup-simplify]: Simplify E into E 3.950 * [backup-simplify]: Simplify E into E 3.951 * [backup-simplify]: Simplify (+ 0 1) into 1 3.951 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ 1 0) into 1 3.951 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 3.952 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 3.952 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 3.952 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 3.952 * [taylor]: Taking taylor expansion of 2 in n 3.952 * [backup-simplify]: Simplify 2 into 2 3.952 * [taylor]: Taking taylor expansion of (/ E n) in n 3.952 * [taylor]: Taking taylor expansion of E in n 3.952 * [backup-simplify]: Simplify E into E 3.952 * [taylor]: Taking taylor expansion of n in n 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 1 into 1 3.952 * [backup-simplify]: Simplify (/ E 1) into E 3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (+ 0 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 (- 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 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 3.955 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 3.955 * [taylor]: Taking taylor expansion of 4 in n 3.955 * [backup-simplify]: Simplify 4 into 4 3.955 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 3.955 * [taylor]: Taking taylor expansion of E in n 3.955 * [backup-simplify]: Simplify E into E 3.955 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.955 * [taylor]: Taking taylor expansion of n in n 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (* 1 1) into 1 3.956 * [backup-simplify]: Simplify (/ E 1) into E 3.956 * [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 (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.962 * [backup-simplify]: Simplify (- 0) into 0 3.962 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [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)))) 3.964 * [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))) 3.966 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 3.966 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 3.966 * [taylor]: Taking taylor expansion of 22/3 in n 3.966 * [backup-simplify]: Simplify 22/3 into 22/3 3.966 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 3.966 * [taylor]: Taking taylor expansion of E in n 3.966 * [backup-simplify]: Simplify E into E 3.966 * [taylor]: Taking taylor expansion of (pow n 3) in n 3.966 * [taylor]: Taking taylor expansion of n in n 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.967 * [backup-simplify]: Simplify (/ E 1) into E 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify E into E 3.978 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 3.978 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 3.978 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 3.978 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 3.978 * [taylor]: Taking taylor expansion of -1 in n 3.978 * [backup-simplify]: Simplify -1 into -1 3.978 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 3.978 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 3.978 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.978 * [taylor]: Taking taylor expansion of f in n 3.978 * [backup-simplify]: Simplify f into f 3.978 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 3.978 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.978 * [taylor]: Taking taylor expansion of n in n 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (/ 1 1) into 1 3.979 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 3.979 * [taylor]: Taking taylor expansion of (/ 1 f) in n 3.979 * [taylor]: Taking taylor expansion of f in n 3.979 * [backup-simplify]: Simplify f into f 3.979 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 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 3.980 * [backup-simplify]: Simplify (/ 1 1) into 1 3.980 * [backup-simplify]: Simplify (+ 0 1) into 1 3.980 * [backup-simplify]: Simplify (- 1) into -1 3.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.981 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.982 * [backup-simplify]: Simplify (* -1 -1) into 1 3.982 * [backup-simplify]: Simplify (exp 1) into E 3.982 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.982 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.982 * [taylor]: Taking taylor expansion of -1 in f 3.982 * [backup-simplify]: Simplify -1 into -1 3.982 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.982 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.982 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.982 * [taylor]: Taking taylor expansion of f in f 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.982 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.982 * [taylor]: Taking taylor expansion of n in f 3.982 * [backup-simplify]: Simplify n into n 3.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.983 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.983 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.983 * [taylor]: Taking taylor expansion of f in f 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.983 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.983 * [taylor]: Taking taylor expansion of n in f 3.983 * [backup-simplify]: Simplify n into n 3.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.984 * [backup-simplify]: Simplify (+ 1 0) into 1 3.984 * [backup-simplify]: Simplify (+ 1 0) into 1 3.985 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [backup-simplify]: Simplify (* -1 1) into -1 3.985 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.985 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 3.985 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 3.985 * [taylor]: Taking taylor expansion of -1 in f 3.985 * [backup-simplify]: Simplify -1 into -1 3.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 3.986 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 3.986 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.986 * [taylor]: Taking taylor expansion of f in f 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (/ 1 1) into 1 3.986 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.986 * [taylor]: Taking taylor expansion of n in f 3.986 * [backup-simplify]: Simplify n into n 3.986 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.986 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 3.986 * [taylor]: Taking taylor expansion of (/ 1 f) in f 3.986 * [taylor]: Taking taylor expansion of f in f 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (/ 1 1) into 1 3.987 * [taylor]: Taking taylor expansion of (/ 1 n) in f 3.987 * [taylor]: Taking taylor expansion of n in f 3.987 * [backup-simplify]: Simplify n into n 3.987 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.987 * [backup-simplify]: Simplify (+ 1 0) into 1 3.988 * [backup-simplify]: Simplify (+ 1 0) into 1 3.988 * [backup-simplify]: Simplify (/ 1 1) into 1 3.989 * [backup-simplify]: Simplify (* -1 1) into -1 3.989 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.989 * [taylor]: Taking taylor expansion of (exp -1) in n 3.989 * [taylor]: Taking taylor expansion of -1 in n 3.989 * [backup-simplify]: Simplify -1 into -1 3.990 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.990 * [backup-simplify]: Simplify (exp -1) into (exp -1) 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.992 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 3.992 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 3.992 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 3.993 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.001 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.001 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 4.001 * [taylor]: Taking taylor expansion of -2 in n 4.001 * [backup-simplify]: Simplify -2 into -2 4.001 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.001 * [taylor]: Taking taylor expansion of (exp -1) in n 4.001 * [taylor]: Taking taylor expansion of -1 in n 4.001 * [backup-simplify]: Simplify -1 into -1 4.002 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.002 * [taylor]: Taking taylor expansion of n in n 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.004 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.010 * [backup-simplify]: Simplify (- 0) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.012 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.013 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.013 * [taylor]: Taking taylor expansion of 0 in n 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.018 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.020 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.022 * [backup-simplify]: Simplify (+ 0 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 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.024 * [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))) 4.028 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.029 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.029 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.029 * [taylor]: Taking taylor expansion of 2/3 in n 4.029 * [backup-simplify]: Simplify 2/3 into 2/3 4.029 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.029 * [taylor]: Taking taylor expansion of (exp -1) in n 4.029 * [taylor]: Taking taylor expansion of -1 in n 4.029 * [backup-simplify]: Simplify -1 into -1 4.030 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.030 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.030 * [taylor]: Taking taylor expansion of n in n 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.032 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.034 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.043 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.048 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 4.048 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 4.048 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.048 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.048 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.048 * [taylor]: Taking taylor expansion of f in n 4.048 * [backup-simplify]: Simplify f into f 4.048 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.048 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.048 * [taylor]: Taking taylor expansion of n in n 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.049 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.049 * [taylor]: Taking taylor expansion of n in n 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (/ 1 1) into 1 4.049 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.049 * [taylor]: Taking taylor expansion of f in n 4.049 * [backup-simplify]: Simplify f into f 4.050 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.050 * [backup-simplify]: Simplify (+ 0 1) into 1 4.050 * [backup-simplify]: Simplify (+ 1 0) into 1 4.051 * [backup-simplify]: Simplify (/ 1 1) into 1 4.051 * [backup-simplify]: Simplify (exp 1) into E 4.051 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.051 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.051 * [taylor]: Taking taylor expansion of f in f 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (/ 1 1) into 1 4.052 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.052 * [taylor]: Taking taylor expansion of n in f 4.052 * [backup-simplify]: Simplify n into n 4.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.052 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.052 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.052 * [taylor]: Taking taylor expansion of n in f 4.052 * [backup-simplify]: Simplify n into n 4.052 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.052 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.052 * [taylor]: Taking taylor expansion of f in f 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (/ 1 1) into 1 4.053 * [backup-simplify]: Simplify (+ 1 0) into 1 4.053 * [backup-simplify]: Simplify (- 1) into -1 4.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.054 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.055 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.055 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.055 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.055 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.055 * [taylor]: Taking taylor expansion of f in f 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (/ 1 1) into 1 4.055 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.055 * [taylor]: Taking taylor expansion of n in f 4.055 * [backup-simplify]: Simplify n into n 4.056 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.056 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.056 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.056 * [taylor]: Taking taylor expansion of n in f 4.056 * [backup-simplify]: Simplify n into n 4.056 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.056 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.056 * [taylor]: Taking taylor expansion of f in f 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [backup-simplify]: Simplify (+ 1 0) into 1 4.057 * [backup-simplify]: Simplify (- 1) into -1 4.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.058 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.058 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.058 * [taylor]: Taking taylor expansion of (exp -1) in n 4.058 * [taylor]: Taking taylor expansion of -1 in n 4.058 * [backup-simplify]: Simplify -1 into -1 4.059 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.059 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.062 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.062 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.062 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 4.062 * [taylor]: Taking taylor expansion of -2 in n 4.062 * [backup-simplify]: Simplify -2 into -2 4.062 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 4.062 * [taylor]: Taking taylor expansion of (exp -1) in n 4.062 * [taylor]: Taking taylor expansion of -1 in n 4.063 * [backup-simplify]: Simplify -1 into -1 4.063 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.065 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 4.067 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.070 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (- 0) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.074 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.074 * [taylor]: Taking taylor expansion of 0 in n 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (- 0) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.086 * [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)))) 4.088 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.088 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 4.088 * [taylor]: Taking taylor expansion of 2/3 in n 4.088 * [backup-simplify]: Simplify 2/3 into 2/3 4.088 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 4.088 * [taylor]: Taking taylor expansion of (exp -1) in n 4.088 * [taylor]: Taking taylor expansion of -1 in n 4.088 * [backup-simplify]: Simplify -1 into -1 4.088 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.088 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.088 * [taylor]: Taking taylor expansion of n in n 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (* 1 1) into 1 4.089 * [backup-simplify]: Simplify (* 1 1) into 1 4.090 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 4.092 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.102 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.106 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.106 * [backup-simplify]: Simplify (log1p (- (exp (/ (- (+ f n)) (- f n))) 1)) into (log1p (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) 4.106 * [approximate]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in (f n) around 0 4.106 * [taylor]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in n 4.107 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (* -1 (/ (+ n f) (- f n)))) 1))) 4.107 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in n 4.107 * [taylor]: Taking taylor expansion of 1 in n 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in n 4.107 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 4.107 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 4.107 * [taylor]: Taking taylor expansion of -1 in n 4.107 * [backup-simplify]: Simplify -1 into -1 4.107 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 4.107 * [taylor]: Taking taylor expansion of (+ n f) in n 4.107 * [taylor]: Taking taylor expansion of n in n 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of f in n 4.107 * [backup-simplify]: Simplify f into f 4.107 * [taylor]: Taking taylor expansion of (- f n) in n 4.107 * [taylor]: Taking taylor expansion of f in n 4.107 * [backup-simplify]: Simplify f into f 4.107 * [taylor]: Taking taylor expansion of n in n 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (+ 0 f) into f 4.108 * [backup-simplify]: Simplify (- 0) into 0 4.108 * [backup-simplify]: Simplify (+ f 0) into f 4.108 * [backup-simplify]: Simplify (/ f f) into 1 4.108 * [backup-simplify]: Simplify (* -1 1) into -1 4.109 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.109 * [taylor]: Taking taylor expansion of 1 in n 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (- 1) into -1 4.110 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.112 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.113 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.113 * [taylor]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in f 4.113 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (* -1 (/ (+ n f) (- f n)))) 1))) 4.113 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in f 4.113 * [taylor]: Taking taylor expansion of 1 in f 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in f 4.113 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.113 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.113 * [taylor]: Taking taylor expansion of -1 in f 4.113 * [backup-simplify]: Simplify -1 into -1 4.113 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.113 * [taylor]: Taking taylor expansion of (+ n f) in f 4.113 * [taylor]: Taking taylor expansion of n in f 4.113 * [backup-simplify]: Simplify n into n 4.113 * [taylor]: Taking taylor expansion of f in f 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (- f n) in f 4.113 * [taylor]: Taking taylor expansion of f in f 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of n in f 4.113 * [backup-simplify]: Simplify n into n 4.113 * [backup-simplify]: Simplify (+ n 0) into n 4.113 * [backup-simplify]: Simplify (- n) into (- n) 4.113 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.114 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.114 * [backup-simplify]: Simplify (* -1 -1) into 1 4.114 * [backup-simplify]: Simplify (exp 1) into E 4.114 * [taylor]: Taking taylor expansion of 1 in f 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (- 1) into -1 4.115 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.116 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.116 * [backup-simplify]: Simplify (log E) into 1 4.116 * [taylor]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in f 4.116 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (* -1 (/ (+ n f) (- f n)))) 1))) 4.116 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (* -1 (/ (+ n f) (- f n)))) 1)) in f 4.116 * [taylor]: Taking taylor expansion of 1 in f 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ n f) (- f n)))) 1) in f 4.116 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 4.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 4.116 * [taylor]: Taking taylor expansion of -1 in f 4.116 * [backup-simplify]: Simplify -1 into -1 4.116 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 4.116 * [taylor]: Taking taylor expansion of (+ n f) in f 4.116 * [taylor]: Taking taylor expansion of n in f 4.116 * [backup-simplify]: Simplify n into n 4.116 * [taylor]: Taking taylor expansion of f in f 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (- f n) in f 4.117 * [taylor]: Taking taylor expansion of f in f 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [taylor]: Taking taylor expansion of n in f 4.117 * [backup-simplify]: Simplify n into n 4.117 * [backup-simplify]: Simplify (+ n 0) into n 4.117 * [backup-simplify]: Simplify (- n) into (- n) 4.117 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 4.117 * [backup-simplify]: Simplify (/ n (- n)) into -1 4.117 * [backup-simplify]: Simplify (* -1 -1) into 1 4.117 * [backup-simplify]: Simplify (exp 1) into E 4.117 * [taylor]: Taking taylor expansion of 1 in f 4.117 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (- 1) into -1 4.118 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.119 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.119 * [backup-simplify]: Simplify (log E) into 1 4.119 * [taylor]: Taking taylor expansion of 1 in n 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (+ 0 1) into 1 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify (+ 1 0) into 1 4.121 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 4.121 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 4.122 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 4.122 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 4.122 * [backup-simplify]: Simplify (+ 0 (* 2 (/ E n))) into (* 2 (/ E n)) 4.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 2 (/ E n))) 1)) (pow E 1)))) 1) into (/ 2 n) 4.123 * [taylor]: Taking taylor expansion of (/ 2 n) in n 4.123 * [taylor]: Taking taylor expansion of 2 in n 4.123 * [backup-simplify]: Simplify 2 into 2 4.123 * [taylor]: Taking taylor expansion of n in n 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (/ 2 1) into 2 4.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (- 0) into 0 4.126 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 4.127 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 4.128 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 4.128 * [backup-simplify]: Simplify (- 0) into 0 4.128 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 4.129 * [backup-simplify]: Simplify (+ 0 (* 4 (/ E (pow n 2)))) into (* 4 (/ E (pow n 2))) 4.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 2 (/ E n))) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 1)))) 2) into (/ 2 (pow n 2)) 4.130 * [taylor]: Taking taylor expansion of (/ 2 (pow n 2)) in n 4.130 * [taylor]: Taking taylor expansion of 2 in n 4.130 * [backup-simplify]: Simplify 2 into 2 4.130 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.131 * [backup-simplify]: Simplify (* 1 1) into 1 4.131 * [backup-simplify]: Simplify (/ 2 1) into 2 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (+ 0 0) into 0 4.137 * [backup-simplify]: Simplify (- 0) into 0 4.137 * [backup-simplify]: Simplify (+ 0 0) into 0 4.138 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 4.139 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 4.140 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 4.141 * [backup-simplify]: Simplify (- 0) into 0 4.141 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 4.141 * [backup-simplify]: Simplify (+ 0 (* 22/3 (/ E (pow n 3)))) into (* 22/3 (/ E (pow n 3))) 4.144 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 2 (/ E n))) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 (* 2 (/ E n))) 1) (pow (* 2 (* 4 (/ E (pow n 2)))) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 22/3 (/ E (pow n 3)))) 1)) (pow E 1)))) 6) into (/ 2 (pow n 3)) 4.144 * [taylor]: Taking taylor expansion of (/ 2 (pow n 3)) in n 4.144 * [taylor]: Taking taylor expansion of 2 in n 4.144 * [backup-simplify]: Simplify 2 into 2 4.144 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.144 * [taylor]: Taking taylor expansion of n in n 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 2 1) into 2 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (log1p (- (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) 1)) into (log1p (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) 4.154 * [approximate]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in (f n) around 0 4.154 * [taylor]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in n 4.154 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1))) 4.154 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in n 4.154 * [taylor]: Taking taylor expansion of 1 in n 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in n 4.154 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 4.154 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 4.154 * [taylor]: Taking taylor expansion of -1 in n 4.154 * [backup-simplify]: Simplify -1 into -1 4.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 4.154 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.154 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.154 * [taylor]: Taking taylor expansion of f in n 4.155 * [backup-simplify]: Simplify f into f 4.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.155 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.155 * [taylor]: Taking taylor expansion of n in n 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 4.155 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.155 * [taylor]: Taking taylor expansion of f in n 4.155 * [backup-simplify]: Simplify f into f 4.155 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.155 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.164 * [backup-simplify]: Simplify (+ 0 1) into 1 4.165 * [backup-simplify]: Simplify (- 1) into -1 4.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.165 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.165 * [backup-simplify]: Simplify (* -1 -1) into 1 4.165 * [backup-simplify]: Simplify (exp 1) into E 4.165 * [taylor]: Taking taylor expansion of 1 in n 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (- 1) into -1 4.166 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.167 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.167 * [backup-simplify]: Simplify (log E) into 1 4.167 * [taylor]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in f 4.167 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1))) 4.167 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in f 4.167 * [taylor]: Taking taylor expansion of 1 in f 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 4.167 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.167 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.167 * [taylor]: Taking taylor expansion of -1 in f 4.167 * [backup-simplify]: Simplify -1 into -1 4.167 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.167 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.167 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.167 * [taylor]: Taking taylor expansion of f in f 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.167 * [taylor]: Taking taylor expansion of n in f 4.167 * [backup-simplify]: Simplify n into n 4.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.168 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.168 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.168 * [taylor]: Taking taylor expansion of f in f 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.168 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.168 * [taylor]: Taking taylor expansion of n in f 4.168 * [backup-simplify]: Simplify n into n 4.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.168 * [backup-simplify]: Simplify (+ 1 0) into 1 4.168 * [backup-simplify]: Simplify (+ 1 0) into 1 4.169 * [backup-simplify]: Simplify (/ 1 1) into 1 4.169 * [backup-simplify]: Simplify (* -1 1) into -1 4.169 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.169 * [taylor]: Taking taylor expansion of 1 in f 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (- 1) into -1 4.170 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.171 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.171 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.171 * [taylor]: Taking taylor expansion of (log1p (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in f 4.172 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1))) 4.172 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1)) in f 4.172 * [taylor]: Taking taylor expansion of 1 in f 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of (- (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 1) in f 4.172 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 4.172 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 4.172 * [taylor]: Taking taylor expansion of -1 in f 4.172 * [backup-simplify]: Simplify -1 into -1 4.172 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 4.172 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.172 * [taylor]: Taking taylor expansion of f in f 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.172 * [taylor]: Taking taylor expansion of n in f 4.172 * [backup-simplify]: Simplify n into n 4.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.172 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 4.172 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.172 * [taylor]: Taking taylor expansion of f in f 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.172 * [taylor]: Taking taylor expansion of n in f 4.173 * [backup-simplify]: Simplify n into n 4.173 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.173 * [backup-simplify]: Simplify (+ 1 0) into 1 4.173 * [backup-simplify]: Simplify (+ 1 0) into 1 4.173 * [backup-simplify]: Simplify (/ 1 1) into 1 4.174 * [backup-simplify]: Simplify (* -1 1) into -1 4.174 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.174 * [taylor]: Taking taylor expansion of 1 in f 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (- 1) into -1 4.175 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.175 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.176 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.176 * [taylor]: Taking taylor expansion of -1 in n 4.176 * [backup-simplify]: Simplify -1 into -1 4.176 * [backup-simplify]: Simplify -1 into -1 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 4.177 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 4.177 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 4.178 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 4.178 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.178 * [backup-simplify]: Simplify (- 0) into 0 4.179 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 4.179 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 4.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 4.180 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.180 * [taylor]: Taking taylor expansion of -2 in n 4.180 * [backup-simplify]: Simplify -2 into -2 4.180 * [taylor]: Taking taylor expansion of n in n 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (/ -2 1) into -2 4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.182 * [backup-simplify]: Simplify (+ 0 0) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.183 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 4.184 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 4.185 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 4.187 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 4.187 * [taylor]: Taking taylor expansion of -2 in n 4.187 * [backup-simplify]: Simplify -2 into -2 4.187 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.188 * [taylor]: Taking taylor expansion of n in n 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (* 1 1) into 1 4.188 * [backup-simplify]: Simplify (/ -2 1) into -2 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.193 * [backup-simplify]: Simplify (- 0) into 0 4.193 * [backup-simplify]: Simplify (+ 0 0) into 0 4.194 * [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))) 4.194 * [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)))) 4.195 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.196 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 4.196 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.200 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 4.200 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 4.200 * [taylor]: Taking taylor expansion of -2 in n 4.200 * [backup-simplify]: Simplify -2 into -2 4.200 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.200 * [taylor]: Taking taylor expansion of n in n 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (* 1 1) into 1 4.201 * [backup-simplify]: Simplify (* 1 1) into 1 4.201 * [backup-simplify]: Simplify (/ -2 1) into -2 4.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify -1 into -1 4.210 * [backup-simplify]: Simplify (log1p (- (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) 1)) into (log1p (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) 4.210 * [approximate]: Taking taylor expansion of (log1p (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in (f n) around 0 4.210 * [taylor]: Taking taylor expansion of (log1p (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in n 4.210 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1))) 4.210 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in n 4.210 * [taylor]: Taking taylor expansion of 1 in n 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in n 4.210 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 4.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 4.210 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 4.210 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.210 * [taylor]: Taking taylor expansion of f in n 4.210 * [backup-simplify]: Simplify f into f 4.210 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.210 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.210 * [taylor]: Taking taylor expansion of n in n 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 4.211 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.211 * [taylor]: Taking taylor expansion of n in n 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [taylor]: Taking taylor expansion of (/ 1 f) in n 4.211 * [taylor]: Taking taylor expansion of f in n 4.211 * [backup-simplify]: Simplify f into f 4.211 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 4.212 * [backup-simplify]: Simplify (+ 0 1) into 1 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (exp 1) into E 4.213 * [taylor]: Taking taylor expansion of 1 in n 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (- 1) into -1 4.213 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 4.214 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E 4.214 * [backup-simplify]: Simplify (log E) into 1 4.214 * [taylor]: Taking taylor expansion of (log1p (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in f 4.215 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1))) 4.215 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in f 4.215 * [taylor]: Taking taylor expansion of 1 in f 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [taylor]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 4.215 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.215 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.215 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.215 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.215 * [taylor]: Taking taylor expansion of f in f 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (/ 1 1) into 1 4.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.215 * [taylor]: Taking taylor expansion of n in f 4.215 * [backup-simplify]: Simplify n into n 4.215 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.215 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.215 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.215 * [taylor]: Taking taylor expansion of n in f 4.216 * [backup-simplify]: Simplify n into n 4.216 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.216 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.216 * [taylor]: Taking taylor expansion of f in f 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (/ 1 1) into 1 4.216 * [backup-simplify]: Simplify (+ 1 0) into 1 4.217 * [backup-simplify]: Simplify (- 1) into -1 4.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.218 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.218 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.218 * [taylor]: Taking taylor expansion of 1 in f 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (- 1) into -1 4.219 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.221 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.221 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.222 * [taylor]: Taking taylor expansion of (log1p (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in f 4.222 * [taylor]: Rewrote expression to (log (+ 1 (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1))) 4.222 * [taylor]: Taking taylor expansion of (+ 1 (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1)) in f 4.222 * [taylor]: Taking taylor expansion of 1 in f 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [taylor]: Taking taylor expansion of (- (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 1) in f 4.222 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 4.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 4.222 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 4.222 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.222 * [taylor]: Taking taylor expansion of f in f 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.222 * [taylor]: Taking taylor expansion of n in f 4.222 * [backup-simplify]: Simplify n into n 4.222 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.222 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 4.223 * [taylor]: Taking taylor expansion of (/ 1 n) in f 4.223 * [taylor]: Taking taylor expansion of n in f 4.223 * [backup-simplify]: Simplify n into n 4.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.223 * [taylor]: Taking taylor expansion of (/ 1 f) in f 4.223 * [taylor]: Taking taylor expansion of f in f 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [backup-simplify]: Simplify (+ 1 0) into 1 4.224 * [backup-simplify]: Simplify (- 1) into -1 4.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.225 * [backup-simplify]: Simplify (/ 1 -1) into -1 4.225 * [backup-simplify]: Simplify (exp -1) into (exp -1) 4.225 * [taylor]: Taking taylor expansion of 1 in f 4.225 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (- 1) into -1 4.226 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 4.228 * [backup-simplify]: Simplify (+ 1 (- (exp -1) 1)) into (exp -1) 4.228 * [backup-simplify]: Simplify (log (exp -1)) into -1 4.228 * [taylor]: Taking taylor expansion of -1 in n 4.228 * [backup-simplify]: Simplify -1 into -1 4.228 * [backup-simplify]: Simplify -1 into -1 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (- 0) into 0 4.230 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 4.230 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 4.230 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 4.230 * [backup-simplify]: Simplify (- 0) into 0 4.231 * [backup-simplify]: Simplify (+ (* -2 (/ (exp -1) n)) 0) into (- (* 2 (/ (exp -1) n))) 4.231 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ (exp -1) n)))) into (- (* 2 (/ (exp -1) n))) 4.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1)) (pow (exp -1) 1)))) 1) into (/ -2 n) 4.232 * [taylor]: Taking taylor expansion of (/ -2 n) in n 4.232 * [taylor]: Taking taylor expansion of -2 in n 4.232 * [backup-simplify]: Simplify -2 into -2 4.232 * [taylor]: Taking taylor expansion of n in n 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ -2 1) into -2 4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (- 0) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 4.236 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 4.237 * [backup-simplify]: Simplify (- 0) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into (/ -2 (pow n 2)) 4.239 * [taylor]: Taking taylor expansion of (/ -2 (pow n 2)) in n 4.239 * [taylor]: Taking taylor expansion of -2 in n 4.239 * [backup-simplify]: Simplify -2 into -2 4.239 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.239 * [taylor]: Taking taylor expansion of n in n 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (* 1 1) into 1 4.239 * [backup-simplify]: Simplify (/ -2 1) into -2 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.243 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (- 0) into 0 4.244 * [backup-simplify]: Simplify (+ 0 0) into 0 4.245 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 4.246 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.246 * [backup-simplify]: Simplify (- 0) into 0 4.247 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 4.247 * [backup-simplify]: Simplify (+ 0 (* 2/3 (/ (exp -1) (pow n 3)))) into (* 2/3 (/ (exp -1) (pow n 3))) 4.251 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (exp -1) n)))) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 2/3 (/ (exp -1) (pow n 3)))) 1)) (pow (exp -1) 1)))) 6) into (/ -2 (pow n 3)) 4.251 * [taylor]: Taking taylor expansion of (/ -2 (pow n 3)) in n 4.251 * [taylor]: Taking taylor expansion of -2 in n 4.251 * [backup-simplify]: Simplify -2 into -2 4.251 * [taylor]: Taking taylor expansion of (pow n 3) in n 4.251 * [taylor]: Taking taylor expansion of n in n 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (* 1 1) into 1 4.251 * [backup-simplify]: Simplify (* 1 1) into 1 4.251 * [backup-simplify]: Simplify (/ -2 1) into -2 4.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify -1 into -1 4.257 * * * [progress]: simplifying candidates 4.260 * [simplify]: Simplifying: (fma (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (* (cbrt (exp (/ (- (+ f n)) (- 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(/ (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)) (/ (- (* 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n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (+ 1 (- (exp (/ (- (+ f n)) (- f n))) 1)) (expm1 (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (log1p (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (log (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (exp (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (* (cbrt (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (cbrt (log1p (- (exp (/ (- (+ f n)) (- f n))) 1)))) (cbrt (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (* (* (log1p (- (exp (/ (- (+ f n)) (- f n))) 1)) (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (sqrt (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (sqrt (log1p (- (exp (/ (- (+ f n)) (- f n))) 1))) (- E 1) (- (exp -1) 1) (- (exp -1) 1) 1 -1 -1 E (exp -1) (exp -1) 1 -1 -1 4.265 * * [simplify]: Extracting # 0 : cost 0 4.265 * * [simplify]: Extracting # 1 : cost 0 4.265 * * [simplify]: Extracting # 2 : cost 0 4.265 * * [simplify]: Extracting # 3 : cost 0 4.266 * * [simplify]: Extracting # 4 : cost 0 4.266 * * [simplify]: Extracting # 5 : cost 0 4.275 * * [simplify]: Extracting # 6 : cost 0 4.275 * * [simplify]: Extracting # 7 : cost 0 4.276 * * [simplify]: iteration 0 : 248 enodes (cost 3172 ) 4.379 * * [simplify]: Extracting # 0 : cost 0 4.380 * * [simplify]: Extracting # 1 : cost 0 4.381 * * [simplify]: Extracting # 2 : cost 0 4.381 * * [simplify]: Extracting # 3 : cost 0 4.382 * * [simplify]: Extracting # 4 : cost 0 4.383 * * [simplify]: iteration 1 : 523 enodes (cost 2786 ) 4.676 * * [simplify]: Extracting # 0 : cost 0 4.680 * * [simplify]: Extracting # 1 : cost 0 4.684 * * [simplify]: Extracting # 2 : cost 0 4.688 * * [simplify]: Extracting # 3 : cost 0 4.697 * * [simplify]: Extracting # 4 : cost 0 4.702 * * [simplify]: iteration 2 : 1758 enodes (cost 2636 ) 5.509 * * [simplify]: Extracting # 0 : cost 0 5.543 * * [simplify]: Extracting # 1 : cost 0 5.554 * * [simplify]: Extracting # 2 : cost 0 5.564 * * [simplify]: Extracting # 3 : cost 0 5.575 * * [simplify]: Extracting # 4 : cost 0 5.585 * * [simplify]: iteration done: 5000 enodes (cost 2563 ) 5.587 * [simplify]: Simplified to: (+ -1 (pow (cbrt (exp (/ (- (+ f n)) (- f n)))) 3)) 0 (+ -1 (pow (cbrt (exp (/ (- (+ f n)) (- f n)))) 3)) 0 (+ -1 (pow (cbrt (exp (/ (- (+ f n)) (- f n)))) 3)) 0 (expm1 (/ (- (+ f n)) (- f n))) 0 (expm1 (/ (- (+ f n)) (- f n))) 0 (expm1 (/ (- (+ f n)) (- f n))) 0 (expm1 (/ (- (+ f n)) (- f n))) 0 (expm1 (/ (- (+ f n)) (- f n))) 0 (expm1 (/ (- (+ f n)) (- f n))) 0 (expm1 (expm1 (/ (- (+ f n)) (- f n)))) (/ (- (+ f n)) (- f n)) -1 -1 -1 (exp (expm1 (/ (- (+ f n)) (- f n)))) (log (expm1 (/ (- 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(- 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))) 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(- f n)))) (/ (sqrt (+ f n)) (cbrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (sqrt (+ f n)) (- (sqrt f) (sqrt n))) (- (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ -1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (+ f n) (cbrt (- f n))) (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))) -1 (/ (+ f n) (- f n)) (/ -1 (+ (sqrt f) (sqrt n))) (/ (+ f n) (- (sqrt f) (sqrt n))) -1 (/ (+ f n) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (cbrt (+ f n))) (cbrt (- f n))) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n))) (/ (- (cbrt (+ f n))) (sqrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n))) (/ (- (cbrt (+ f n))) (- (sqrt f) (sqrt n))) (* (cbrt (+ f n)) (cbrt (+ f n))) (/ (- (cbrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (sqrt (+ f n))) (cbrt (- f n))) (/ (sqrt (+ f n)) (sqrt (- f n))) (/ (- (sqrt (+ f n))) (sqrt (- f n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n))) (/ (- (sqrt (+ f n))) (- (sqrt f) (sqrt n))) (sqrt (+ f n)) (/ (- (sqrt (+ f n))) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (cbrt (- f n))) (/ 1 (sqrt (- f n))) (/ (- (+ f n)) (sqrt (- f n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (+ (sqrt f) (sqrt n))) (/ (- (+ f n)) (- (sqrt f) (sqrt n))) 1 (/ (- (+ f n)) (- f n)) (/ 1 (- f n)) (/ (- f n) (- (+ f n))) (/ (+ f n) (- f n)) (/ (- (+ f n)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (- (+ f n)) (sqrt (- f n))) (- (+ f n)) (/ (- (+ f n)) (+ (sqrt f) (sqrt n))) (- (+ f n)) (/ (- f n) (cbrt (- (+ f n)))) (/ (- f n) (sqrt (- (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (cbrt (+ f n))) (/ (- f n) (sqrt (+ f n))) (/ (- f n) (+ f n)) (/ (- f n) (+ f n)) (/ (- f n) (- (cbrt (+ f n)))) (/ (- f n) (- (sqrt (+ f n)))) (/ (- f n) (- (+ f n))) (/ (- f n) (- (+ f n))) (/ (- (+ f n)) (- (pow f 3) (pow n 3))) (- (/ 1 (- f n))) (* (- f n) (fma f f (* n (- n f)))) (* (- f n) (- f n)) (expm1 (exp (/ (- (+ f n)) (- f n)))) (log1p (exp (/ (- (+ f n)) (- f n)))) (exp (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))) (exp (sqrt (/ (- (+ f n)) (- f n)))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n)))) (exp (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (exp (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (* (cbrt (- (+ f n))) (cbrt (- (+ f n))))) (exp (/ (sqrt (- (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (- (+ f n))) (sqrt (- f n)))) (exp (sqrt (- (+ f n)))) (exp (/ (sqrt (- (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (sqrt (- (+ f n)))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (+ (sqrt f) (sqrt n)))) (exp (- (* (cbrt (+ f n)) (cbrt (+ f n))))) (exp (/ (- (sqrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- (sqrt (+ f n))) (sqrt (- f n)))) (exp (- (sqrt (+ f n)))) (exp (/ (- (sqrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (- (sqrt (+ f n)))) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp (/ -1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ -1 (sqrt (- f n)))) (exp -1) (exp (/ -1 (+ (sqrt f) (sqrt n)))) (exp -1) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (* (cbrt (+ f n)) (cbrt (+ f n)))) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (sqrt (+ f n))) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (sqrt (+ f n))) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) E (exp (/ 1 (+ (sqrt f) (sqrt n)))) E E (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (- (/ 1 (- f n)))) (exp (/ (+ f n) (- f n))) 1 (exp (/ (+ f n) (- f n))) (/ (- (+ f n)) (- f n)) (exp (exp (- (/ (+ f n) (- f n))))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (pow (exp (/ (- (+ f n)) (- f n))) 3) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (exp (- (/ (+ 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 E (exp -1) (exp -1) 1 -1 -1 5.590 * * * [progress]: adding candidates to table 6.363 * * [progress]: iteration 4 / 4 6.363 * * * [progress]: picking best candidate 6.373 * * * * [pick]: Picked # 6.373 * * * [progress]: localizing error 6.392 * * * [progress]: generating rewritten candidates 6.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 6.447 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 6.515 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.515 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 6.633 * * * [progress]: generating series expansions 6.633 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 6.633 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.633 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.633 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.633 * [taylor]: Taking taylor expansion of -1 in n 6.633 * [backup-simplify]: Simplify -1 into -1 6.633 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.633 * [taylor]: Taking taylor expansion of (+ n f) in n 6.633 * [taylor]: Taking taylor expansion of n in n 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [taylor]: Taking taylor expansion of f in n 6.633 * [backup-simplify]: Simplify f into f 6.633 * [taylor]: Taking taylor expansion of (- f n) in n 6.633 * [taylor]: Taking taylor expansion of f in n 6.633 * [backup-simplify]: Simplify f into f 6.633 * [taylor]: Taking taylor expansion of n in n 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [backup-simplify]: Simplify (+ 0 f) into f 6.634 * [backup-simplify]: Simplify (- 0) into 0 6.634 * [backup-simplify]: Simplify (+ f 0) into f 6.634 * [backup-simplify]: Simplify (/ f f) into 1 6.634 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.634 * [taylor]: Taking taylor expansion of -1 in f 6.634 * [backup-simplify]: Simplify -1 into -1 6.634 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.634 * [taylor]: Taking taylor expansion of (+ n f) in f 6.634 * [taylor]: Taking taylor expansion of n in f 6.634 * [backup-simplify]: Simplify n into n 6.634 * [taylor]: Taking taylor expansion of f in f 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [taylor]: Taking taylor expansion of (- f n) in f 6.634 * [taylor]: Taking taylor expansion of f in f 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [taylor]: Taking taylor expansion of n in f 6.634 * [backup-simplify]: Simplify n into n 6.634 * [backup-simplify]: Simplify (+ n 0) into n 6.634 * [backup-simplify]: Simplify (- n) into (- n) 6.634 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.634 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.634 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.634 * [taylor]: Taking taylor expansion of -1 in f 6.635 * [backup-simplify]: Simplify -1 into -1 6.635 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.635 * [taylor]: Taking taylor expansion of (+ n f) in f 6.635 * [taylor]: Taking taylor expansion of n in f 6.635 * [backup-simplify]: Simplify n into n 6.635 * [taylor]: Taking taylor expansion of f in f 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of (- f n) in f 6.635 * [taylor]: Taking taylor expansion of f in f 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [taylor]: Taking taylor expansion of n in f 6.635 * [backup-simplify]: Simplify n into n 6.635 * [backup-simplify]: Simplify (+ n 0) into n 6.635 * [backup-simplify]: Simplify (- n) into (- n) 6.635 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.635 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.636 * [backup-simplify]: Simplify (* -1 -1) into 1 6.636 * [taylor]: Taking taylor expansion of 1 in n 6.636 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (+ 0 1) into 1 6.636 * [backup-simplify]: Simplify (- 0) into 0 6.637 * [backup-simplify]: Simplify (+ 1 0) into 1 6.637 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.637 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.637 * [taylor]: Taking taylor expansion of 2 in n 6.637 * [backup-simplify]: Simplify 2 into 2 6.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.637 * [taylor]: Taking taylor expansion of n in n 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.638 * [backup-simplify]: Simplify (/ 1 1) into 1 6.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (- 0) into 0 6.640 * [backup-simplify]: Simplify (+ 0 0) into 0 6.640 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.641 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.641 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.641 * [taylor]: Taking taylor expansion of 2 in n 6.641 * [backup-simplify]: Simplify 2 into 2 6.641 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.641 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.641 * [taylor]: Taking taylor expansion of n in n 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (* 1 1) into 1 6.642 * [backup-simplify]: Simplify (/ 1 1) into 1 6.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.644 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify (+ 0 0) into 0 6.646 * [backup-simplify]: Simplify (- 0) into 0 6.646 * [backup-simplify]: Simplify (+ 0 0) into 0 6.646 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.647 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.647 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.647 * [taylor]: Taking taylor expansion of 2 in n 6.647 * [backup-simplify]: Simplify 2 into 2 6.647 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.647 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.647 * [taylor]: Taking taylor expansion of n in n 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 1 into 1 6.648 * [backup-simplify]: Simplify (* 1 1) into 1 6.648 * [backup-simplify]: Simplify (* 1 1) into 1 6.648 * [backup-simplify]: Simplify (/ 1 1) into 1 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.653 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.653 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.653 * [taylor]: Taking taylor expansion of -1 in n 6.653 * [backup-simplify]: Simplify -1 into -1 6.653 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.653 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.653 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.653 * [taylor]: Taking taylor expansion of f in n 6.653 * [backup-simplify]: Simplify f into f 6.653 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.654 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.654 * [taylor]: Taking taylor expansion of n in n 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (/ 1 1) into 1 6.654 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.654 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.654 * [taylor]: Taking taylor expansion of f in n 6.654 * [backup-simplify]: Simplify f into f 6.654 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.654 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.654 * [taylor]: Taking taylor expansion of n in n 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (/ 1 1) into 1 6.654 * [backup-simplify]: Simplify (+ 0 1) into 1 6.655 * [backup-simplify]: Simplify (- 1) into -1 6.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.655 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.655 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.655 * [taylor]: Taking taylor expansion of -1 in f 6.655 * [backup-simplify]: Simplify -1 into -1 6.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.655 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.655 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.655 * [taylor]: Taking taylor expansion of f in f 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.656 * [taylor]: Taking taylor expansion of n in f 6.656 * [backup-simplify]: Simplify n into n 6.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.656 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.656 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.656 * [taylor]: Taking taylor expansion of f in f 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.656 * [taylor]: Taking taylor expansion of n in f 6.656 * [backup-simplify]: Simplify n into n 6.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.656 * [backup-simplify]: Simplify (+ 1 0) into 1 6.657 * [backup-simplify]: Simplify (+ 1 0) into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.657 * [taylor]: Taking taylor expansion of -1 in f 6.657 * [backup-simplify]: Simplify -1 into -1 6.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.657 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.657 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.657 * [taylor]: Taking taylor expansion of f in f 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.657 * [taylor]: Taking taylor expansion of n in f 6.657 * [backup-simplify]: Simplify n into n 6.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.658 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.658 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.658 * [taylor]: Taking taylor expansion of f in f 6.658 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify 1 into 1 6.658 * [backup-simplify]: Simplify (/ 1 1) into 1 6.658 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.658 * [taylor]: Taking taylor expansion of n in f 6.658 * [backup-simplify]: Simplify n into n 6.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.658 * [backup-simplify]: Simplify (+ 1 0) into 1 6.658 * [backup-simplify]: Simplify (+ 1 0) into 1 6.659 * [backup-simplify]: Simplify (/ 1 1) into 1 6.659 * [backup-simplify]: Simplify (* -1 1) into -1 6.659 * [taylor]: Taking taylor expansion of -1 in n 6.659 * [backup-simplify]: Simplify -1 into -1 6.659 * [backup-simplify]: Simplify -1 into -1 6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.660 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.660 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.660 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.660 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.661 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.661 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.661 * [taylor]: Taking taylor expansion of 2 in n 6.661 * [backup-simplify]: Simplify 2 into 2 6.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.661 * [taylor]: Taking taylor expansion of n in n 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.662 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.662 * [backup-simplify]: Simplify (- 0) into 0 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.664 * [backup-simplify]: Simplify (- 0) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.666 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.666 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.666 * [taylor]: Taking taylor expansion of 2 in n 6.666 * [backup-simplify]: Simplify 2 into 2 6.666 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.666 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.666 * [taylor]: Taking taylor expansion of n in n 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 1 into 1 6.666 * [backup-simplify]: Simplify (* 1 1) into 1 6.667 * [backup-simplify]: Simplify (/ 1 1) into 1 6.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.669 * [backup-simplify]: Simplify (- 0) into 0 6.669 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.671 * [backup-simplify]: Simplify (- 0) into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.672 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.672 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify (+ 0 0) into 0 6.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.674 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.674 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.674 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.674 * [taylor]: Taking taylor expansion of 2 in n 6.674 * [backup-simplify]: Simplify 2 into 2 6.674 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.674 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.674 * [taylor]: Taking taylor expansion of n in n 6.674 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (* 1 1) into 1 6.675 * [backup-simplify]: Simplify (* 1 1) into 1 6.675 * [backup-simplify]: Simplify (/ 1 1) into 1 6.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (- 0) into 0 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify -1 into -1 6.681 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.681 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.681 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.681 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.681 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.681 * [taylor]: Taking taylor expansion of f in n 6.681 * [backup-simplify]: Simplify f into f 6.681 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.681 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.681 * [taylor]: Taking taylor expansion of n in n 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ 1 1) into 1 6.681 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.681 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.681 * [taylor]: Taking taylor expansion of n in n 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (/ 1 1) into 1 6.682 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.682 * [taylor]: Taking taylor expansion of f in n 6.682 * [backup-simplify]: Simplify f into f 6.682 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.682 * [backup-simplify]: Simplify (+ 0 1) into 1 6.682 * [backup-simplify]: Simplify (+ 1 0) into 1 6.682 * [backup-simplify]: Simplify (/ 1 1) into 1 6.682 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.683 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.683 * [taylor]: Taking taylor expansion of f in f 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (/ 1 1) into 1 6.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.683 * [taylor]: Taking taylor expansion of n in f 6.683 * [backup-simplify]: Simplify n into n 6.683 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.683 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.683 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.683 * [taylor]: Taking taylor expansion of n in f 6.683 * [backup-simplify]: Simplify n into n 6.683 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.683 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.683 * [taylor]: Taking taylor expansion of f in f 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (/ 1 1) into 1 6.684 * [backup-simplify]: Simplify (+ 1 0) into 1 6.684 * [backup-simplify]: Simplify (- 1) into -1 6.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.684 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.684 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.684 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.684 * [taylor]: Taking taylor expansion of f in f 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (/ 1 1) into 1 6.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.685 * [taylor]: Taking taylor expansion of n in f 6.685 * [backup-simplify]: Simplify n into n 6.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.685 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.685 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.685 * [taylor]: Taking taylor expansion of n in f 6.685 * [backup-simplify]: Simplify n into n 6.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.685 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.685 * [taylor]: Taking taylor expansion of f in f 6.685 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (/ 1 1) into 1 6.685 * [backup-simplify]: Simplify (+ 1 0) into 1 6.686 * [backup-simplify]: Simplify (- 1) into -1 6.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.686 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.686 * [taylor]: Taking taylor expansion of -1 in n 6.686 * [backup-simplify]: Simplify -1 into -1 6.686 * [backup-simplify]: Simplify -1 into -1 6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.688 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.688 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.688 * [taylor]: Taking taylor expansion of 2 in n 6.688 * [backup-simplify]: Simplify 2 into 2 6.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.688 * [taylor]: Taking taylor expansion of n in n 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 1 into 1 6.688 * [backup-simplify]: Simplify (/ 1 1) into 1 6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.689 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.689 * [backup-simplify]: Simplify (- 0) into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.690 * [backup-simplify]: Simplify (+ 0 0) into 0 6.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.691 * [backup-simplify]: Simplify (- 0) into 0 6.691 * [backup-simplify]: Simplify (+ 0 0) into 0 6.692 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.692 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.692 * [taylor]: Taking taylor expansion of 2 in n 6.692 * [backup-simplify]: Simplify 2 into 2 6.692 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.692 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.692 * [taylor]: Taking taylor expansion of n in n 6.692 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify 1 into 1 6.692 * [backup-simplify]: Simplify (* 1 1) into 1 6.693 * [backup-simplify]: Simplify (/ 1 1) into 1 6.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.695 * [backup-simplify]: Simplify (- 0) into 0 6.695 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.697 * [backup-simplify]: Simplify (- 0) into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.697 * [backup-simplify]: Simplify (+ 0 0) into 0 6.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (- 0) into 0 6.699 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.700 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.700 * [taylor]: Taking taylor expansion of 2 in n 6.700 * [backup-simplify]: Simplify 2 into 2 6.700 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.700 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.700 * [taylor]: Taking taylor expansion of n in n 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify 1 into 1 6.700 * [backup-simplify]: Simplify (* 1 1) into 1 6.700 * [backup-simplify]: Simplify (* 1 1) into 1 6.701 * [backup-simplify]: Simplify (/ 1 1) into 1 6.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.706 * [backup-simplify]: Simplify (- 0) into 0 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify -1 into -1 6.706 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 6.706 * [backup-simplify]: Simplify (/ (- (+ f n)) (- f n)) into (* -1 (/ (+ n f) (- f n))) 6.706 * [approximate]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in (f n) around 0 6.706 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.706 * [taylor]: Taking taylor expansion of -1 in n 6.706 * [backup-simplify]: Simplify -1 into -1 6.706 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.706 * [taylor]: Taking taylor expansion of (+ n f) in n 6.706 * [taylor]: Taking taylor expansion of n in n 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [taylor]: Taking taylor expansion of f in n 6.706 * [backup-simplify]: Simplify f into f 6.706 * [taylor]: Taking taylor expansion of (- f n) in n 6.706 * [taylor]: Taking taylor expansion of f in n 6.706 * [backup-simplify]: Simplify f into f 6.706 * [taylor]: Taking taylor expansion of n in n 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (+ 0 f) into f 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ f 0) into f 6.707 * [backup-simplify]: Simplify (/ f f) into 1 6.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.707 * [taylor]: Taking taylor expansion of -1 in f 6.707 * [backup-simplify]: Simplify -1 into -1 6.707 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.707 * [taylor]: Taking taylor expansion of (+ n f) in f 6.707 * [taylor]: Taking taylor expansion of n in f 6.707 * [backup-simplify]: Simplify n into n 6.707 * [taylor]: Taking taylor expansion of f in f 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of (- f n) in f 6.707 * [taylor]: Taking taylor expansion of f in f 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of n in f 6.707 * [backup-simplify]: Simplify n into n 6.707 * [backup-simplify]: Simplify (+ n 0) into n 6.707 * [backup-simplify]: Simplify (- n) into (- n) 6.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.707 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.707 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.707 * [taylor]: Taking taylor expansion of -1 in f 6.707 * [backup-simplify]: Simplify -1 into -1 6.707 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.707 * [taylor]: Taking taylor expansion of (+ n f) in f 6.707 * [taylor]: Taking taylor expansion of n in f 6.707 * [backup-simplify]: Simplify n into n 6.707 * [taylor]: Taking taylor expansion of f in f 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of (- f n) in f 6.707 * [taylor]: Taking taylor expansion of f in f 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [taylor]: Taking taylor expansion of n in f 6.707 * [backup-simplify]: Simplify n into n 6.707 * [backup-simplify]: Simplify (+ n 0) into n 6.707 * [backup-simplify]: Simplify (- n) into (- n) 6.707 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.707 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.708 * [backup-simplify]: Simplify (* -1 -1) into 1 6.708 * [taylor]: Taking taylor expansion of 1 in n 6.708 * [backup-simplify]: Simplify 1 into 1 6.708 * [backup-simplify]: Simplify 1 into 1 6.708 * [backup-simplify]: Simplify (+ 0 1) into 1 6.708 * [backup-simplify]: Simplify (- 0) into 0 6.709 * [backup-simplify]: Simplify (+ 1 0) into 1 6.709 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.710 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.710 * [taylor]: Taking taylor expansion of 2 in n 6.710 * [backup-simplify]: Simplify 2 into 2 6.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.710 * [taylor]: Taking taylor expansion of n in n 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [backup-simplify]: Simplify (- 0) into 0 6.712 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.712 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.712 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.712 * [taylor]: Taking taylor expansion of 2 in n 6.712 * [backup-simplify]: Simplify 2 into 2 6.712 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.712 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.712 * [taylor]: Taking taylor expansion of n in n 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (* 1 1) into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.715 * [backup-simplify]: Simplify 0 into 0 6.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (- 0) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.724 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.724 * [taylor]: Taking taylor expansion of 2 in n 6.724 * [backup-simplify]: Simplify 2 into 2 6.724 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.724 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.724 * [taylor]: Taking taylor expansion of n in n 6.724 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify 1 into 1 6.725 * [backup-simplify]: Simplify (* 1 1) into 1 6.725 * [backup-simplify]: Simplify (* 1 1) into 1 6.725 * [backup-simplify]: Simplify (/ 1 1) into 1 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.730 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify 1 into 1 6.730 * [backup-simplify]: Simplify (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))) into (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) 6.730 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in (f n) around 0 6.731 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.731 * [taylor]: Taking taylor expansion of -1 in n 6.731 * [backup-simplify]: Simplify -1 into -1 6.731 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.731 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.731 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.731 * [taylor]: Taking taylor expansion of f in n 6.731 * [backup-simplify]: Simplify f into f 6.731 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.731 * [taylor]: Taking taylor expansion of n in n 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 1 into 1 6.731 * [backup-simplify]: Simplify (/ 1 1) into 1 6.731 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.731 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.731 * [taylor]: Taking taylor expansion of f in n 6.731 * [backup-simplify]: Simplify f into f 6.731 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.731 * [taylor]: Taking taylor expansion of n in n 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 1 into 1 6.731 * [backup-simplify]: Simplify (/ 1 1) into 1 6.732 * [backup-simplify]: Simplify (+ 0 1) into 1 6.732 * [backup-simplify]: Simplify (- 1) into -1 6.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.732 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.732 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.732 * [taylor]: Taking taylor expansion of -1 in f 6.732 * [backup-simplify]: Simplify -1 into -1 6.733 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.733 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.733 * [taylor]: Taking taylor expansion of f in f 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (/ 1 1) into 1 6.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.733 * [taylor]: Taking taylor expansion of n in f 6.733 * [backup-simplify]: Simplify n into n 6.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.733 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.733 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.733 * [taylor]: Taking taylor expansion of f in f 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (/ 1 1) into 1 6.733 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.733 * [taylor]: Taking taylor expansion of n in f 6.733 * [backup-simplify]: Simplify n into n 6.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.734 * [backup-simplify]: Simplify (+ 1 0) into 1 6.734 * [backup-simplify]: Simplify (+ 1 0) into 1 6.734 * [backup-simplify]: Simplify (/ 1 1) into 1 6.734 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.734 * [taylor]: Taking taylor expansion of -1 in f 6.734 * [backup-simplify]: Simplify -1 into -1 6.734 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.734 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.734 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.734 * [taylor]: Taking taylor expansion of f in f 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify 1 into 1 6.734 * [backup-simplify]: Simplify (/ 1 1) into 1 6.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.735 * [taylor]: Taking taylor expansion of n in f 6.735 * [backup-simplify]: Simplify n into n 6.735 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.735 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.735 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.735 * [taylor]: Taking taylor expansion of f in f 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [backup-simplify]: Simplify (/ 1 1) into 1 6.735 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.735 * [taylor]: Taking taylor expansion of n in f 6.735 * [backup-simplify]: Simplify n into n 6.735 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.735 * [backup-simplify]: Simplify (+ 1 0) into 1 6.736 * [backup-simplify]: Simplify (+ 1 0) into 1 6.736 * [backup-simplify]: Simplify (/ 1 1) into 1 6.736 * [backup-simplify]: Simplify (* -1 1) into -1 6.736 * [taylor]: Taking taylor expansion of -1 in n 6.736 * [backup-simplify]: Simplify -1 into -1 6.736 * [backup-simplify]: Simplify -1 into -1 6.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.737 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.737 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.738 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.738 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.738 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.738 * [taylor]: Taking taylor expansion of 2 in n 6.738 * [backup-simplify]: Simplify 2 into 2 6.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.738 * [taylor]: Taking taylor expansion of n in n 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [backup-simplify]: Simplify (/ 1 1) into 1 6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.739 * [backup-simplify]: Simplify (- 0) into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.740 * [backup-simplify]: Simplify (+ 0 0) into 0 6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.741 * [backup-simplify]: Simplify (- 0) into 0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.743 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.743 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.743 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.743 * [taylor]: Taking taylor expansion of 2 in n 6.743 * [backup-simplify]: Simplify 2 into 2 6.743 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.743 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.743 * [taylor]: Taking taylor expansion of n in n 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (* 1 1) into 1 6.743 * [backup-simplify]: Simplify (/ 1 1) into 1 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.746 * [backup-simplify]: Simplify (- 0) into 0 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.747 * [backup-simplify]: Simplify (- 0) into 0 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.748 * [backup-simplify]: Simplify (+ 0 0) into 0 6.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.749 * [backup-simplify]: Simplify (- 0) into 0 6.749 * [backup-simplify]: Simplify (+ 0 0) into 0 6.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.751 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.751 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.751 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.751 * [taylor]: Taking taylor expansion of 2 in n 6.751 * [backup-simplify]: Simplify 2 into 2 6.751 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.751 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.751 * [taylor]: Taking taylor expansion of n in n 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [backup-simplify]: Simplify (* 1 1) into 1 6.751 * [backup-simplify]: Simplify (* 1 1) into 1 6.752 * [backup-simplify]: Simplify (/ 1 1) into 1 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (- 0) into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify -1 into -1 6.758 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))) into (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) 6.758 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in (f n) around 0 6.758 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 6.758 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.758 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.758 * [taylor]: Taking taylor expansion of f in n 6.758 * [backup-simplify]: Simplify f into f 6.758 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.758 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.758 * [taylor]: Taking taylor expansion of n in n 6.758 * [backup-simplify]: Simplify 0 into 0 6.758 * [backup-simplify]: Simplify 1 into 1 6.758 * [backup-simplify]: Simplify (/ 1 1) into 1 6.758 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 6.758 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.758 * [taylor]: Taking taylor expansion of n in n 6.758 * [backup-simplify]: Simplify 0 into 0 6.758 * [backup-simplify]: Simplify 1 into 1 6.758 * [backup-simplify]: Simplify (/ 1 1) into 1 6.758 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.758 * [taylor]: Taking taylor expansion of f in n 6.758 * [backup-simplify]: Simplify f into f 6.758 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.759 * [backup-simplify]: Simplify (+ 0 1) into 1 6.759 * [backup-simplify]: Simplify (+ 1 0) into 1 6.759 * [backup-simplify]: Simplify (/ 1 1) into 1 6.759 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.759 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.759 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.759 * [taylor]: Taking taylor expansion of f in f 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 1 into 1 6.760 * [backup-simplify]: Simplify (/ 1 1) into 1 6.760 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.760 * [taylor]: Taking taylor expansion of n in f 6.760 * [backup-simplify]: Simplify n into n 6.760 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.760 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.760 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.760 * [taylor]: Taking taylor expansion of n in f 6.760 * [backup-simplify]: Simplify n into n 6.760 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.760 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.760 * [taylor]: Taking taylor expansion of f in f 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 1 into 1 6.760 * [backup-simplify]: Simplify (/ 1 1) into 1 6.760 * [backup-simplify]: Simplify (+ 1 0) into 1 6.761 * [backup-simplify]: Simplify (- 1) into -1 6.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.761 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.761 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 6.761 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.761 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.761 * [taylor]: Taking taylor expansion of f in f 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.762 * [backup-simplify]: Simplify (/ 1 1) into 1 6.762 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.762 * [taylor]: Taking taylor expansion of n in f 6.762 * [backup-simplify]: Simplify n into n 6.762 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.762 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 6.762 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.762 * [taylor]: Taking taylor expansion of n in f 6.762 * [backup-simplify]: Simplify n into n 6.762 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.762 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.762 * [taylor]: Taking taylor expansion of f in f 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 1 into 1 6.762 * [backup-simplify]: Simplify (/ 1 1) into 1 6.763 * [backup-simplify]: Simplify (+ 1 0) into 1 6.763 * [backup-simplify]: Simplify (- 1) into -1 6.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.763 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.763 * [taylor]: Taking taylor expansion of -1 in n 6.763 * [backup-simplify]: Simplify -1 into -1 6.763 * [backup-simplify]: Simplify -1 into -1 6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.765 * [backup-simplify]: Simplify (- 0) into 0 6.765 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 6.765 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 6.765 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 n))) in n 6.765 * [taylor]: Taking taylor expansion of (* 2 (/ 1 n)) in n 6.765 * [taylor]: Taking taylor expansion of 2 in n 6.765 * [backup-simplify]: Simplify 2 into 2 6.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.765 * [taylor]: Taking taylor expansion of n in n 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [backup-simplify]: Simplify (/ 1 1) into 1 6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.766 * [backup-simplify]: Simplify (- 0) into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.767 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.768 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 6.769 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 2)))) in n 6.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 2))) in n 6.769 * [taylor]: Taking taylor expansion of 2 in n 6.769 * [backup-simplify]: Simplify 2 into 2 6.769 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.769 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.769 * [taylor]: Taking taylor expansion of n in n 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (* 1 1) into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.772 * [backup-simplify]: Simplify (- 0) into 0 6.772 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.774 * [backup-simplify]: Simplify (- 0) into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (- 0) into 0 6.776 * [backup-simplify]: Simplify (+ 0 0) into 0 6.777 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.777 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow n 3)))) in n 6.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow n 3))) in n 6.777 * [taylor]: Taking taylor expansion of 2 in n 6.777 * [backup-simplify]: Simplify 2 into 2 6.777 * [taylor]: Taking taylor expansion of (/ 1 (pow n 3)) in n 6.777 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.777 * [taylor]: Taking taylor expansion of n in n 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.778 * [backup-simplify]: Simplify (* 1 1) into 1 6.778 * [backup-simplify]: Simplify (* 1 1) into 1 6.778 * [backup-simplify]: Simplify (/ 1 1) into 1 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.783 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.783 * [backup-simplify]: Simplify (- 0) into 0 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify -1 into -1 6.783 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.784 * [backup-simplify]: Simplify (fma (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) -1) into (fma (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n))))) -1) 6.784 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n))))) -1) in (f n) around 0 6.784 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n))))) -1) in n 6.784 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n)))))) -1) 6.784 * [taylor]: Taking taylor expansion of (* (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n)))))) in n 6.784 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ n f) (- f n))))) in n 6.784 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 6.784 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.784 * [taylor]: Taking taylor expansion of -1 in n 6.784 * [backup-simplify]: Simplify -1 into -1 6.784 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.784 * [taylor]: Taking taylor expansion of (+ n f) in n 6.784 * [taylor]: Taking taylor expansion of n in n 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [taylor]: Taking taylor expansion of f in n 6.784 * [backup-simplify]: Simplify f into f 6.784 * [taylor]: Taking taylor expansion of (- f n) in n 6.784 * [taylor]: Taking taylor expansion of f in n 6.784 * [backup-simplify]: Simplify f into f 6.784 * [taylor]: Taking taylor expansion of n in n 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [backup-simplify]: Simplify (+ 0 f) into f 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.785 * [backup-simplify]: Simplify (+ f 0) into f 6.785 * [backup-simplify]: Simplify (/ f f) into 1 6.785 * [backup-simplify]: Simplify (* -1 1) into -1 6.785 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.786 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 6.786 * [backup-simplify]: Simplify (+ 1 0) into 1 6.786 * [backup-simplify]: Simplify (- 1) into -1 6.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.787 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 6.787 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 6.787 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 6.789 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) f)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 f))) 6.789 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ n f) (- f n))))) in n 6.789 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 6.789 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 6.789 * [taylor]: Taking taylor expansion of -1 in n 6.789 * [backup-simplify]: Simplify -1 into -1 6.789 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 6.789 * [taylor]: Taking taylor expansion of (+ n f) in n 6.789 * [taylor]: Taking taylor expansion of n in n 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [taylor]: Taking taylor expansion of f in n 6.789 * [backup-simplify]: Simplify f into f 6.789 * [taylor]: Taking taylor expansion of (- f n) in n 6.789 * [taylor]: Taking taylor expansion of f in n 6.789 * [backup-simplify]: Simplify f into f 6.789 * [taylor]: Taking taylor expansion of n in n 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [backup-simplify]: Simplify (+ 0 f) into f 6.789 * [backup-simplify]: Simplify (- 0) into 0 6.789 * [backup-simplify]: Simplify (+ f 0) into f 6.789 * [backup-simplify]: Simplify (/ f f) into 1 6.790 * [backup-simplify]: Simplify (* -1 1) into -1 6.790 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.790 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 6.791 * [backup-simplify]: Simplify (+ 1 0) into 1 6.791 * [backup-simplify]: Simplify (- 1) into -1 6.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.791 * [backup-simplify]: Simplify (- (/ 1 f) (+ (* 1 (/ -1 f)))) into (* 2 (/ 1 f)) 6.792 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 f))) (* 0 1)) into (- (* 2 (/ 1 f))) 6.792 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 f))) 1) 1)))) into (* -2 (/ (exp -1) f)) 6.793 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) f)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 f))) 6.793 * [taylor]: Taking taylor expansion of -1 in n 6.793 * [backup-simplify]: Simplify -1 into -1 6.793 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n))))) -1) in f 6.793 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n)))))) -1) 6.793 * [taylor]: Taking taylor expansion of (* (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n)))))) in f 6.793 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ n f) (- f n))))) in f 6.793 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.794 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.794 * [taylor]: Taking taylor expansion of -1 in f 6.794 * [backup-simplify]: Simplify -1 into -1 6.794 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.794 * [taylor]: Taking taylor expansion of (+ n f) in f 6.794 * [taylor]: Taking taylor expansion of n in f 6.794 * [backup-simplify]: Simplify n into n 6.794 * [taylor]: Taking taylor expansion of f in f 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [taylor]: Taking taylor expansion of (- f n) in f 6.794 * [taylor]: Taking taylor expansion of f in f 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [taylor]: Taking taylor expansion of n in f 6.794 * [backup-simplify]: Simplify n into n 6.794 * [backup-simplify]: Simplify (+ n 0) into n 6.794 * [backup-simplify]: Simplify (- n) into (- n) 6.794 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.794 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.794 * [backup-simplify]: Simplify (* -1 -1) into 1 6.794 * [backup-simplify]: Simplify (exp 1) into E 6.794 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 6.795 * [backup-simplify]: Simplify (+ 0 1) into 1 6.795 * [backup-simplify]: Simplify (- 0) into 0 6.795 * [backup-simplify]: Simplify (+ 1 0) into 1 6.795 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.796 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.796 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 6.797 * [backup-simplify]: Simplify (/ (* 2 (/ E n)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 n)) 6.797 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ n f) (- f n))))) in f 6.797 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.797 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.797 * [taylor]: Taking taylor expansion of -1 in f 6.797 * [backup-simplify]: Simplify -1 into -1 6.797 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.797 * [taylor]: Taking taylor expansion of (+ n f) in f 6.797 * [taylor]: Taking taylor expansion of n in f 6.797 * [backup-simplify]: Simplify n into n 6.797 * [taylor]: Taking taylor expansion of f in f 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [taylor]: Taking taylor expansion of (- f n) in f 6.797 * [taylor]: Taking taylor expansion of f in f 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [taylor]: Taking taylor expansion of n in f 6.797 * [backup-simplify]: Simplify n into n 6.797 * [backup-simplify]: Simplify (+ n 0) into n 6.797 * [backup-simplify]: Simplify (- n) into (- n) 6.797 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.797 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.797 * [backup-simplify]: Simplify (* -1 -1) into 1 6.797 * [backup-simplify]: Simplify (exp 1) into E 6.798 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 6.798 * [backup-simplify]: Simplify (+ 0 1) into 1 6.798 * [backup-simplify]: Simplify (- 0) into 0 6.798 * [backup-simplify]: Simplify (+ 1 0) into 1 6.798 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.799 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.799 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 6.800 * [backup-simplify]: Simplify (/ (* 2 (/ E n)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 n)) 6.800 * [taylor]: Taking taylor expansion of -1 in f 6.800 * [backup-simplify]: Simplify -1 into -1 6.800 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n))))) -1) in f 6.800 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n)))))) -1) 6.800 * [taylor]: Taking taylor expansion of (* (sqrt (exp (* -1 (/ (+ n f) (- f n))))) (sqrt (exp (* -1 (/ (+ n f) (- f n)))))) in f 6.800 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ n f) (- f n))))) in f 6.800 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.800 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.800 * [taylor]: Taking taylor expansion of -1 in f 6.800 * [backup-simplify]: Simplify -1 into -1 6.800 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.800 * [taylor]: Taking taylor expansion of (+ n f) in f 6.800 * [taylor]: Taking taylor expansion of n in f 6.800 * [backup-simplify]: Simplify n into n 6.800 * [taylor]: Taking taylor expansion of f in f 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [taylor]: Taking taylor expansion of (- f n) in f 6.800 * [taylor]: Taking taylor expansion of f in f 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [taylor]: Taking taylor expansion of n in f 6.800 * [backup-simplify]: Simplify n into n 6.800 * [backup-simplify]: Simplify (+ n 0) into n 6.800 * [backup-simplify]: Simplify (- n) into (- n) 6.800 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.800 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.800 * [backup-simplify]: Simplify (* -1 -1) into 1 6.801 * [backup-simplify]: Simplify (exp 1) into E 6.801 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 6.801 * [backup-simplify]: Simplify (+ 0 1) into 1 6.801 * [backup-simplify]: Simplify (- 0) into 0 6.802 * [backup-simplify]: Simplify (+ 1 0) into 1 6.802 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.802 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.802 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 6.803 * [backup-simplify]: Simplify (/ (* 2 (/ E n)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 n)) 6.803 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ n f) (- f n))))) in f 6.803 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 6.803 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 6.803 * [taylor]: Taking taylor expansion of -1 in f 6.803 * [backup-simplify]: Simplify -1 into -1 6.803 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 6.803 * [taylor]: Taking taylor expansion of (+ n f) in f 6.803 * [taylor]: Taking taylor expansion of n in f 6.803 * [backup-simplify]: Simplify n into n 6.803 * [taylor]: Taking taylor expansion of f in f 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of (- f n) in f 6.803 * [taylor]: Taking taylor expansion of f in f 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of n in f 6.803 * [backup-simplify]: Simplify n into n 6.803 * [backup-simplify]: Simplify (+ n 0) into n 6.803 * [backup-simplify]: Simplify (- n) into (- n) 6.803 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 6.803 * [backup-simplify]: Simplify (/ n (- n)) into -1 6.804 * [backup-simplify]: Simplify (* -1 -1) into 1 6.804 * [backup-simplify]: Simplify (exp 1) into E 6.804 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 6.804 * [backup-simplify]: Simplify (+ 0 1) into 1 6.804 * [backup-simplify]: Simplify (- 0) into 0 6.805 * [backup-simplify]: Simplify (+ 1 0) into 1 6.805 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 6.805 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 6.805 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 6.806 * [backup-simplify]: Simplify (/ (* 2 (/ E n)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 n)) 6.806 * [taylor]: Taking taylor expansion of -1 in f 6.806 * [backup-simplify]: Simplify -1 into -1 6.807 * [backup-simplify]: Simplify (* (sqrt E) (sqrt E)) into E 6.807 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 6.807 * [taylor]: Taking taylor expansion of (- E 1) in n 6.807 * [taylor]: Taking taylor expansion of E in n 6.807 * [backup-simplify]: Simplify E into E 6.807 * [taylor]: Taking taylor expansion of 1 in n 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [backup-simplify]: Simplify (- 1) into -1 6.808 * [backup-simplify]: Simplify (+ E -1) into (- E 1) 6.808 * [backup-simplify]: Simplify (- E 1) into (- E 1) 6.809 * [backup-simplify]: Simplify (+ (* (sqrt E) (* (sqrt E) (/ 1 n))) (* (* (sqrt E) (/ 1 n)) (sqrt E))) into (* 2 (/ E n)) 6.809 * [backup-simplify]: Simplify (+ (* 2 (/ E n)) 0) into (* 2 (/ E n)) 6.809 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 6.809 * [taylor]: Taking taylor expansion of 2 in n 6.809 * [backup-simplify]: Simplify 2 into 2 6.809 * [taylor]: Taking taylor expansion of (/ E n) in n 6.809 * [taylor]: Taking taylor expansion of E in n 6.809 * [backup-simplify]: Simplify E into E 6.809 * [taylor]: Taking taylor expansion of n in n 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (/ E 1) into E 6.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (- 0) into 0 6.811 * [backup-simplify]: Simplify (+ 0 0) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify (+ 0 0) into 0 6.812 * [backup-simplify]: Simplify (- 0) into 0 6.813 * [backup-simplify]: Simplify (+ 0 0) into 0 6.813 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.821 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.821 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 6.824 * [backup-simplify]: Simplify (/ (- (* 4 (/ E (pow n 2))) (pow (* (sqrt E) (/ 1 n)) 2) (+)) (* 2 (sqrt E))) into (* 3/2 (* (sqrt E) (/ 1 (pow n 2)))) 6.824 * [backup-simplify]: Simplify (+ 0 0) into 0 6.824 * [backup-simplify]: Simplify (- 0) into 0 6.825 * [backup-simplify]: Simplify (+ 0 0) into 0 6.825 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 6.826 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 6.826 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 2) 2)) (* (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)))) into (* 4 (/ E (pow n 2))) 6.829 * [backup-simplify]: Simplify (/ (- (* 4 (/ E (pow n 2))) (pow (* (sqrt E) (/ 1 n)) 2) (+)) (* 2 (sqrt E))) into (* 3/2 (* (sqrt E) (/ 1 (pow n 2)))) 6.832 * [backup-simplify]: Simplify (+ (* (sqrt E) (* 3/2 (* (sqrt E) (/ 1 (pow n 2))))) (+ (* (* (sqrt E) (/ 1 n)) (* (sqrt E) (/ 1 n))) (* (* 3/2 (* (sqrt E) (/ 1 (pow n 2)))) (sqrt E)))) into (* 4 (/ E (pow n 2))) 6.832 * [backup-simplify]: Simplify (+ (* 4 (/ E (pow n 2))) 0) into (* 4 (/ E (pow n 2))) 6.832 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 6.832 * [taylor]: Taking taylor expansion of 4 in n 6.832 * [backup-simplify]: Simplify 4 into 4 6.832 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 6.832 * [taylor]: Taking taylor expansion of E in n 6.832 * [backup-simplify]: Simplify E into E 6.832 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.832 * [taylor]: Taking taylor expansion of n in n 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify 1 into 1 6.833 * [backup-simplify]: Simplify (* 1 1) into 1 6.833 * [backup-simplify]: Simplify (/ E 1) into E 6.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 6.838 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify (- 0) into 0 6.841 * [backup-simplify]: Simplify (+ 0 0) into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify (+ 0 0) into 0 6.841 * [backup-simplify]: Simplify (- 0) into 0 6.842 * [backup-simplify]: Simplify (+ 0 0) into 0 6.843 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.844 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 3))))) (+ (* 0 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1)))) into (* 2 (/ 1 (pow n 3))) 6.845 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 6.847 * [backup-simplify]: Simplify (/ (- (* 22/3 (/ E (pow n 3))) (+ (* 2 (* (* (sqrt E) (/ 1 n)) (* 3/2 (* (sqrt E) (/ 1 (pow n 2)))))))) (* 2 (sqrt E))) into (* 13/6 (* (sqrt E) (/ 1 (pow n 3)))) 6.848 * [backup-simplify]: Simplify (+ 0 0) into 0 6.848 * [backup-simplify]: Simplify (- 0) into 0 6.848 * [backup-simplify]: Simplify (+ 0 0) into 0 6.849 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 0 (- n))) (* (- (* 2 (/ 1 (pow n 2)))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 3)))) 6.850 * [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))) 6.851 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 3) 6)) (* (/ (pow (* 2 (/ 1 n)) 1) 1) (/ (pow (* 2 (/ 1 (pow n 2))) 1) 1)) (* (/ (pow (* 2 (/ 1 (pow n 3))) 1) 1)))) into (* 22/3 (/ E (pow n 3))) 6.854 * [backup-simplify]: Simplify (/ (- (* 22/3 (/ E (pow n 3))) (+ (* 2 (* (* (sqrt E) (/ 1 n)) (* 3/2 (* (sqrt E) (/ 1 (pow n 2)))))))) (* 2 (sqrt E))) into (* 13/6 (* (sqrt E) (/ 1 (pow n 3)))) 6.859 * [backup-simplify]: Simplify (+ (* (sqrt E) (* 13/6 (* (sqrt E) (/ 1 (pow n 3))))) (+ (* (* (sqrt E) (/ 1 n)) (* 3/2 (* (sqrt E) (/ 1 (pow n 2))))) (+ (* (* 3/2 (* (sqrt E) (/ 1 (pow n 2)))) (* (sqrt E) (/ 1 n))) (* (* 13/6 (* (sqrt E) (/ 1 (pow n 3)))) (sqrt E))))) into (* 22/3 (/ E (pow n 3))) 6.859 * [backup-simplify]: Simplify (+ (* 22/3 (/ E (pow n 3))) 0) into (* 22/3 (/ E (pow n 3))) 6.859 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 6.859 * [taylor]: Taking taylor expansion of 22/3 in n 6.860 * [backup-simplify]: Simplify 22/3 into 22/3 6.860 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 6.860 * [taylor]: Taking taylor expansion of E in n 6.860 * [backup-simplify]: Simplify E into E 6.860 * [taylor]: Taking taylor expansion of (pow n 3) in n 6.860 * [taylor]: Taking taylor expansion of n in n 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [backup-simplify]: Simplify (* 1 1) into 1 6.861 * [backup-simplify]: Simplify (* 1 1) into 1 6.861 * [backup-simplify]: Simplify (/ E 1) into E 6.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (- E 1) into (- E 1) 6.872 * [backup-simplify]: Simplify (fma (sqrt (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) (sqrt (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n))))) -1) into (fma (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) -1) 6.873 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) -1) in (f n) around 0 6.873 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) -1) in n 6.873 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) -1) 6.873 * [taylor]: Taking taylor expansion of (* (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in n 6.873 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 6.873 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 6.873 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.873 * [taylor]: Taking taylor expansion of -1 in n 6.873 * [backup-simplify]: Simplify -1 into -1 6.873 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.873 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.873 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.873 * [taylor]: Taking taylor expansion of f in n 6.873 * [backup-simplify]: Simplify f into f 6.873 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.873 * [taylor]: Taking taylor expansion of n in n 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.874 * [backup-simplify]: Simplify (/ 1 1) into 1 6.874 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.874 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.874 * [taylor]: Taking taylor expansion of f in n 6.874 * [backup-simplify]: Simplify f into f 6.874 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.874 * [taylor]: Taking taylor expansion of n in n 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.875 * [backup-simplify]: Simplify (/ 1 1) into 1 6.875 * [backup-simplify]: Simplify (+ 0 1) into 1 6.875 * [backup-simplify]: Simplify (- 1) into -1 6.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.876 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.877 * [backup-simplify]: Simplify (* -1 -1) into 1 6.877 * [backup-simplify]: Simplify (exp 1) into E 6.877 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.878 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (- 0) into 0 6.879 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.879 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 6.880 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 6.880 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 6.881 * [backup-simplify]: Simplify (/ (* 2 (/ E f)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 f)) 6.881 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in n 6.881 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 6.881 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 6.881 * [taylor]: Taking taylor expansion of -1 in n 6.881 * [backup-simplify]: Simplify -1 into -1 6.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 6.881 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 6.881 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.881 * [taylor]: Taking taylor expansion of f in n 6.881 * [backup-simplify]: Simplify f into f 6.881 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.881 * [taylor]: Taking taylor expansion of n in n 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (/ 1 1) into 1 6.882 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 6.882 * [taylor]: Taking taylor expansion of (/ 1 f) in n 6.882 * [taylor]: Taking taylor expansion of f in n 6.882 * [backup-simplify]: Simplify f into f 6.882 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 6.882 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.882 * [taylor]: Taking taylor expansion of n in n 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 1 into 1 6.883 * [backup-simplify]: Simplify (/ 1 1) into 1 6.883 * [backup-simplify]: Simplify (+ 0 1) into 1 6.883 * [backup-simplify]: Simplify (- 1) into -1 6.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.884 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.885 * [backup-simplify]: Simplify (* -1 -1) into 1 6.885 * [backup-simplify]: Simplify (exp 1) into E 6.885 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 6.887 * [backup-simplify]: Simplify (- (/ (/ 1 f) -1) (+ (* -1 (/ (/ 1 f) -1)))) into (- (* 2 (/ 1 f))) 6.888 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 f)))) (* 0 -1)) into (* 2 (/ 1 f)) 6.888 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 6.890 * [backup-simplify]: Simplify (/ (* 2 (/ E f)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 f)) 6.890 * [taylor]: Taking taylor expansion of -1 in n 6.890 * [backup-simplify]: Simplify -1 into -1 6.890 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) -1) in f 6.890 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) -1) 6.890 * [taylor]: Taking taylor expansion of (* (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 6.890 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 6.890 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.890 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.890 * [taylor]: Taking taylor expansion of -1 in f 6.890 * [backup-simplify]: Simplify -1 into -1 6.890 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.890 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.890 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.890 * [taylor]: Taking taylor expansion of f in f 6.890 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.891 * [backup-simplify]: Simplify (/ 1 1) into 1 6.891 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.891 * [taylor]: Taking taylor expansion of n in f 6.891 * [backup-simplify]: Simplify n into n 6.891 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.891 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.891 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.891 * [taylor]: Taking taylor expansion of f in f 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 1 into 1 6.891 * [backup-simplify]: Simplify (/ 1 1) into 1 6.891 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.891 * [taylor]: Taking taylor expansion of n in f 6.891 * [backup-simplify]: Simplify n into n 6.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.892 * [backup-simplify]: Simplify (+ 1 0) into 1 6.892 * [backup-simplify]: Simplify (+ 1 0) into 1 6.893 * [backup-simplify]: Simplify (/ 1 1) into 1 6.893 * [backup-simplify]: Simplify (* -1 1) into -1 6.894 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.894 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 6.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.895 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.896 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.896 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.897 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.897 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.898 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.900 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 6.900 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 6.900 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.900 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.900 * [taylor]: Taking taylor expansion of -1 in f 6.900 * [backup-simplify]: Simplify -1 into -1 6.900 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.900 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.900 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.900 * [taylor]: Taking taylor expansion of f in f 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify 1 into 1 6.900 * [backup-simplify]: Simplify (/ 1 1) into 1 6.900 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.901 * [taylor]: Taking taylor expansion of n in f 6.901 * [backup-simplify]: Simplify n into n 6.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.901 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.901 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.901 * [taylor]: Taking taylor expansion of f in f 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.901 * [taylor]: Taking taylor expansion of n in f 6.901 * [backup-simplify]: Simplify n into n 6.901 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.902 * [backup-simplify]: Simplify (+ 1 0) into 1 6.902 * [backup-simplify]: Simplify (+ 1 0) into 1 6.903 * [backup-simplify]: Simplify (/ 1 1) into 1 6.903 * [backup-simplify]: Simplify (* -1 1) into -1 6.904 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.904 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.906 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.906 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.907 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.908 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.909 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 6.909 * [taylor]: Taking taylor expansion of -1 in f 6.910 * [backup-simplify]: Simplify -1 into -1 6.910 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) -1) in f 6.910 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) -1) 6.910 * [taylor]: Taking taylor expansion of (* (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))))) in f 6.910 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 6.910 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.910 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.910 * [taylor]: Taking taylor expansion of -1 in f 6.910 * [backup-simplify]: Simplify -1 into -1 6.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.910 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.910 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.910 * [taylor]: Taking taylor expansion of f in f 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify 1 into 1 6.910 * [backup-simplify]: Simplify (/ 1 1) into 1 6.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.911 * [taylor]: Taking taylor expansion of n in f 6.911 * [backup-simplify]: Simplify n into n 6.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.911 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.911 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.911 * [taylor]: Taking taylor expansion of f in f 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (/ 1 1) into 1 6.911 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.911 * [taylor]: Taking taylor expansion of n in f 6.911 * [backup-simplify]: Simplify n into n 6.911 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.912 * [backup-simplify]: Simplify (+ 1 0) into 1 6.912 * [backup-simplify]: Simplify (+ 1 0) into 1 6.913 * [backup-simplify]: Simplify (/ 1 1) into 1 6.913 * [backup-simplify]: Simplify (* -1 1) into -1 6.913 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.914 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 6.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.916 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.916 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.917 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.918 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.919 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 6.919 * [taylor]: Taking taylor expansion of (sqrt (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))))) in f 6.920 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 6.920 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 6.920 * [taylor]: Taking taylor expansion of -1 in f 6.920 * [backup-simplify]: Simplify -1 into -1 6.920 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 6.920 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 6.920 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.920 * [taylor]: Taking taylor expansion of f in f 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify (/ 1 1) into 1 6.920 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.920 * [taylor]: Taking taylor expansion of n in f 6.920 * [backup-simplify]: Simplify n into n 6.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.920 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 6.920 * [taylor]: Taking taylor expansion of (/ 1 f) in f 6.920 * [taylor]: Taking taylor expansion of f in f 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [taylor]: Taking taylor expansion of (/ 1 n) in f 6.921 * [taylor]: Taking taylor expansion of n in f 6.921 * [backup-simplify]: Simplify n into n 6.921 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.921 * [backup-simplify]: Simplify (+ 1 0) into 1 6.922 * [backup-simplify]: Simplify (+ 1 0) into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.923 * [backup-simplify]: Simplify (* -1 1) into -1 6.923 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.924 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.925 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.926 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 6.926 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 6.926 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 6.926 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 6.927 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 6.929 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 6.929 * [taylor]: Taking taylor expansion of -1 in f 6.929 * [backup-simplify]: Simplify -1 into -1 6.931 * [backup-simplify]: Simplify (* (sqrt (exp -1)) (sqrt (exp -1))) into (exp -1) 6.932 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 6.932 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 6.932 * [taylor]: Taking taylor expansion of (exp -1) in n 6.932 * [taylor]: Taking taylor expansion of -1 in n 6.932 * [backup-simplify]: Simplify -1 into -1 6.933 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.933 * [taylor]: Taking taylor expansion of 1 in n 6.933 * [backup-simplify]: Simplify 1 into 1 6.933 * [backup-simplify]: Simplify (- 1) into -1 6.934 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 6.935 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 6.938 * [backup-simplify]: Simplify (+ (* (sqrt (exp -1)) (* -1 (* (sqrt (exp -1)) (/ 1 n)))) (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (sqrt (exp -1)))) into (- (* 2 (/ (exp -1) n))) 6.939 * [backup-simplify]: Simplify (+ (- (* 2 (/ (exp -1) n))) 0) into (- (* 2 (/ (exp -1) n))) 6.939 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 6.939 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 6.939 * [taylor]: Taking taylor expansion of 2 in n 6.939 * [backup-simplify]: Simplify 2 into 2 6.939 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 6.939 * [taylor]: Taking taylor expansion of (exp -1) in n 6.939 * [taylor]: Taking taylor expansion of -1 in n 6.939 * [backup-simplify]: Simplify -1 into -1 6.940 * [backup-simplify]: Simplify (exp -1) into (exp -1) 6.940 * [taylor]: Taking taylor expansion of n in n 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 6.942 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 6.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 6.944 * [backup-simplify]: Simplify (- 0) into 0 6.944 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 6.946 * [backup-simplify]: Simplify (- 0) into 0 6.946 * [backup-simplify]: Simplify (+ 0 0) into 0 6.946 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.948 * [backup-simplify]: Simplify (+ 0 0) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.949 * [backup-simplify]: Simplify (- 0) into 0 6.949 * [backup-simplify]: Simplify (+ 0 0) into 0 6.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.951 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.953 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.956 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (exp -1)) (/ 1 n))) 2) (+)) (* 2 (sqrt (exp -1)))) into (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) 6.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.959 * [backup-simplify]: Simplify (- 0) into 0 6.959 * [backup-simplify]: Simplify (+ 0 0) into 0 6.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 6.961 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 6.962 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 6.965 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (exp -1)) (/ 1 n))) 2) (+)) (* 2 (sqrt (exp -1)))) into (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) 6.978 * [backup-simplify]: Simplify (+ (* (sqrt (exp -1)) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2))))) (+ (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1 (* (sqrt (exp -1)) (/ 1 n)))) (* (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) (sqrt (exp -1))))) into 0 6.978 * [backup-simplify]: Simplify (+ 0 0) into 0 6.978 * [taylor]: Taking taylor expansion of 0 in n 6.978 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 6.983 * [backup-simplify]: Simplify (- 0) into 0 6.983 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.985 * [backup-simplify]: Simplify (- 0) into 0 6.986 * [backup-simplify]: Simplify (+ 0 0) into 0 6.986 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.987 * [backup-simplify]: Simplify (+ 0 0) into 0 6.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.989 * [backup-simplify]: Simplify (- 0) into 0 6.989 * [backup-simplify]: Simplify (+ 0 0) into 0 6.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ 0 1)) (* (* 2 (/ 1 (pow n 2))) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 3))) 6.992 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 3)))) (+ (* 0 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1)))) into (- (* 2 (/ 1 (pow n 3)))) 6.993 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 3) 6)) (* (/ (pow (- (* 2 (/ 1 n))) 1) 1) (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)) (* (/ (pow (- (* 2 (/ 1 (pow n 3)))) 1) 1)))) into (* 2/3 (/ (exp -1) (pow n 3))) 6.997 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ (exp -1) (pow n 3))) (+ (* 2 (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (exp -1)))) into (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3)))) 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.000 * [backup-simplify]: Simplify (- 0) into 0 7.000 * [backup-simplify]: Simplify (+ 0 0) into 0 7.001 * [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))) 7.002 * [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)))) 7.003 * [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))) 7.005 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ (exp -1) (pow n 3))) (+ (* 2 (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (exp -1)))) into (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3)))) 7.010 * [backup-simplify]: Simplify (+ (* (sqrt (exp -1)) (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3))))) (+ (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2))))) (+ (* (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) (* -1 (* (sqrt (exp -1)) (/ 1 n)))) (* (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3)))) (sqrt (exp -1)))))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.011 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 7.011 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.011 * [taylor]: Taking taylor expansion of 2/3 in n 7.011 * [backup-simplify]: Simplify 2/3 into 2/3 7.011 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.011 * [taylor]: Taking taylor expansion of (exp -1) in n 7.011 * [taylor]: Taking taylor expansion of -1 in n 7.011 * [backup-simplify]: Simplify -1 into -1 7.011 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.011 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.011 * [taylor]: Taking taylor expansion of n in n 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.014 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.016 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.019 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.022 * [backup-simplify]: Simplify (fma (sqrt (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) (sqrt (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n)))))) -1) into (fma (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) -1) 7.022 * [approximate]: Taking taylor expansion of (fma (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) -1) in (f n) around 0 7.022 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) -1) in n 7.022 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) -1) 7.022 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in n 7.022 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.022 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.022 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.022 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.022 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.022 * [taylor]: Taking taylor expansion of f in n 7.022 * [backup-simplify]: Simplify f into f 7.022 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.022 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.022 * [taylor]: Taking taylor expansion of n in n 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (/ 1 1) into 1 7.023 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.023 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.023 * [taylor]: Taking taylor expansion of n in n 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (/ 1 1) into 1 7.023 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.023 * [taylor]: Taking taylor expansion of f in n 7.023 * [backup-simplify]: Simplify f into f 7.023 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.023 * [backup-simplify]: Simplify (+ 0 1) into 1 7.024 * [backup-simplify]: Simplify (+ 1 0) into 1 7.024 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [backup-simplify]: Simplify (exp 1) into E 7.024 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.025 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.025 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.025 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.025 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 7.026 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 7.026 * [backup-simplify]: Simplify (/ (* 2 (/ E f)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 f)) 7.026 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in n 7.026 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.026 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.026 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.026 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.026 * [taylor]: Taking taylor expansion of f in n 7.026 * [backup-simplify]: Simplify f into f 7.026 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.026 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.026 * [taylor]: Taking taylor expansion of n in n 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (/ 1 1) into 1 7.027 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.027 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.027 * [taylor]: Taking taylor expansion of n in n 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (/ 1 1) into 1 7.027 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.027 * [taylor]: Taking taylor expansion of f in n 7.027 * [backup-simplify]: Simplify f into f 7.027 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.027 * [backup-simplify]: Simplify (+ 0 1) into 1 7.028 * [backup-simplify]: Simplify (+ 1 0) into 1 7.028 * [backup-simplify]: Simplify (/ 1 1) into 1 7.028 * [backup-simplify]: Simplify (exp 1) into E 7.028 * [backup-simplify]: Simplify (sqrt E) into (sqrt E) 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (+ (/ 1 f) 0) into (/ 1 f) 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (- (/ 1 f)) into (- (/ 1 f)) 7.029 * [backup-simplify]: Simplify (+ 0 (- (/ 1 f))) into (- (/ 1 f)) 7.029 * [backup-simplify]: Simplify (- (/ (/ 1 f) 1) (+ (* 1 (/ (- (/ 1 f)) 1)))) into (* 2 (/ 1 f)) 7.030 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 f)) 1) 1)))) into (* 2 (/ E f)) 7.030 * [backup-simplify]: Simplify (/ (* 2 (/ E f)) (* 2 (sqrt E))) into (* (sqrt E) (/ 1 f)) 7.030 * [taylor]: Taking taylor expansion of -1 in n 7.030 * [backup-simplify]: Simplify -1 into -1 7.030 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) -1) in f 7.031 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) -1) 7.031 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 7.031 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.031 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.031 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.031 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.031 * [taylor]: Taking taylor expansion of f in f 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (/ 1 1) into 1 7.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.031 * [taylor]: Taking taylor expansion of n in f 7.031 * [backup-simplify]: Simplify n into n 7.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.031 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.031 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.031 * [taylor]: Taking taylor expansion of n in f 7.031 * [backup-simplify]: Simplify n into n 7.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.031 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.031 * [taylor]: Taking taylor expansion of f in f 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [backup-simplify]: Simplify (/ 1 1) into 1 7.032 * [backup-simplify]: Simplify (+ 1 0) into 1 7.032 * [backup-simplify]: Simplify (- 1) into -1 7.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.033 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.033 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.034 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 7.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.036 * [backup-simplify]: Simplify (- 0) into 0 7.036 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.036 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.037 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.039 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 7.039 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.039 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.039 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.039 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.039 * [taylor]: Taking taylor expansion of f in f 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (/ 1 1) into 1 7.040 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.040 * [taylor]: Taking taylor expansion of n in f 7.040 * [backup-simplify]: Simplify n into n 7.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.040 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.040 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.040 * [taylor]: Taking taylor expansion of n in f 7.040 * [backup-simplify]: Simplify n into n 7.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.040 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.040 * [taylor]: Taking taylor expansion of f in f 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.041 * [backup-simplify]: Simplify (/ 1 1) into 1 7.041 * [backup-simplify]: Simplify (+ 1 0) into 1 7.041 * [backup-simplify]: Simplify (- 1) into -1 7.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.042 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.043 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.044 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.044 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.045 * [backup-simplify]: Simplify (- 0) into 0 7.046 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.046 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.046 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.048 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 7.048 * [taylor]: Taking taylor expansion of -1 in f 7.048 * [backup-simplify]: Simplify -1 into -1 7.048 * [taylor]: Taking taylor expansion of (fma (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) -1) in f 7.049 * [taylor]: Rewrote expression to (+ (* (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) -1) 7.049 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))))) in f 7.049 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.049 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.049 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.049 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.049 * [taylor]: Taking taylor expansion of f in f 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 1 into 1 7.049 * [backup-simplify]: Simplify (/ 1 1) into 1 7.049 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.049 * [taylor]: Taking taylor expansion of n in f 7.049 * [backup-simplify]: Simplify n into n 7.049 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.049 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.049 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.049 * [taylor]: Taking taylor expansion of n in f 7.049 * [backup-simplify]: Simplify n into n 7.049 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.050 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.050 * [taylor]: Taking taylor expansion of f in f 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify 1 into 1 7.050 * [backup-simplify]: Simplify (/ 1 1) into 1 7.050 * [backup-simplify]: Simplify (+ 1 0) into 1 7.051 * [backup-simplify]: Simplify (- 1) into -1 7.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.052 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.052 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.053 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.054 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (- 0) into 0 7.055 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.055 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.056 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.058 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 7.058 * [taylor]: Taking taylor expansion of (sqrt (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))))) in f 7.058 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.058 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.058 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.058 * [taylor]: Taking taylor expansion of f in f 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (/ 1 1) into 1 7.058 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.058 * [taylor]: Taking taylor expansion of n in f 7.058 * [backup-simplify]: Simplify n into n 7.058 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.058 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.058 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.058 * [taylor]: Taking taylor expansion of n in f 7.058 * [backup-simplify]: Simplify n into n 7.059 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.059 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.059 * [taylor]: Taking taylor expansion of f in f 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (/ 1 1) into 1 7.059 * [backup-simplify]: Simplify (+ 1 0) into 1 7.060 * [backup-simplify]: Simplify (- 1) into -1 7.060 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.061 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.061 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.062 * [backup-simplify]: Simplify (sqrt (exp -1)) into (sqrt (exp -1)) 7.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.063 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (- 0) into 0 7.064 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.064 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.064 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.065 * [backup-simplify]: Simplify (/ (* -2 (/ (exp -1) n)) (* 2 (sqrt (exp -1)))) into (* -1 (* (sqrt (exp -1)) (/ 1 n))) 7.065 * [taylor]: Taking taylor expansion of -1 in f 7.065 * [backup-simplify]: Simplify -1 into -1 7.067 * [backup-simplify]: Simplify (* (sqrt (exp -1)) (sqrt (exp -1))) into (exp -1) 7.067 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.067 * [taylor]: Taking taylor expansion of (- (exp -1) 1) in n 7.067 * [taylor]: Taking taylor expansion of (exp -1) in n 7.067 * [taylor]: Taking taylor expansion of -1 in n 7.067 * [backup-simplify]: Simplify -1 into -1 7.068 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.068 * [taylor]: Taking taylor expansion of 1 in n 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (- 1) into -1 7.068 * [backup-simplify]: Simplify (+ (exp -1) -1) into (- (exp -1) 1) 7.069 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.071 * [backup-simplify]: Simplify (+ (* (sqrt (exp -1)) (* -1 (* (sqrt (exp -1)) (/ 1 n)))) (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (sqrt (exp -1)))) into (- (* 2 (/ (exp -1) n))) 7.071 * [backup-simplify]: Simplify (+ (- (* 2 (/ (exp -1) n))) 0) into (- (* 2 (/ (exp -1) n))) 7.071 * [taylor]: Taking taylor expansion of (- (* 2 (/ (exp -1) n))) in n 7.071 * [taylor]: Taking taylor expansion of (* 2 (/ (exp -1) n)) in n 7.071 * [taylor]: Taking taylor expansion of 2 in n 7.071 * [backup-simplify]: Simplify 2 into 2 7.071 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.071 * [taylor]: Taking taylor expansion of (exp -1) in n 7.071 * [taylor]: Taking taylor expansion of -1 in n 7.071 * [backup-simplify]: Simplify -1 into -1 7.072 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.072 * [taylor]: Taking taylor expansion of n in n 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 1 into 1 7.072 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.073 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (exp -1))) into 0 7.074 * [backup-simplify]: Simplify (- 0) into 0 7.074 * [backup-simplify]: Simplify 0 into 0 7.075 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.075 * [backup-simplify]: Simplify (- 0) into 0 7.075 * [backup-simplify]: Simplify (+ 0 0) into 0 7.075 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (- 0) into 0 7.077 * [backup-simplify]: Simplify (+ 0 0) into 0 7.078 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.079 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.080 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (exp -1)) (/ 1 n))) 2) (+)) (* 2 (sqrt (exp -1)))) into (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) 7.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.081 * [backup-simplify]: Simplify (+ 0 0) into 0 7.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (- 0) into 0 7.082 * [backup-simplify]: Simplify (+ 0 0) into 0 7.083 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.084 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.085 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1 (* (sqrt (exp -1)) (/ 1 n))) 2) (+)) (* 2 (sqrt (exp -1)))) into (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) 7.094 * [backup-simplify]: Simplify (+ (* (sqrt (exp -1)) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2))))) (+ (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1 (* (sqrt (exp -1)) (/ 1 n)))) (* (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) (sqrt (exp -1))))) into 0 7.094 * [backup-simplify]: Simplify (+ 0 0) into 0 7.094 * [taylor]: Taking taylor expansion of 0 in n 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.098 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.100 * [backup-simplify]: Simplify (- 0) into 0 7.101 * [backup-simplify]: Simplify (+ 0 0) into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.102 * [backup-simplify]: Simplify (+ 0 0) into 0 7.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (- 0) into 0 7.104 * [backup-simplify]: Simplify (+ 0 0) into 0 7.106 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ 0 -1)) (* (- (* 2 (/ 1 (pow n 2)))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 3)))) 7.108 * [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))) 7.112 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ (exp -1) (pow n 3))) (+ (* 2 (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (exp -1)))) into (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3)))) 7.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.113 * [backup-simplify]: Simplify (+ 0 0) into 0 7.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (- 0) into 0 7.114 * [backup-simplify]: Simplify (+ 0 0) into 0 7.115 * [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)))) 7.116 * [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))) 7.118 * [backup-simplify]: Simplify (/ (- (* 2/3 (/ (exp -1) (pow n 3))) (+ (* 2 (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))))))) (* 2 (sqrt (exp -1)))) into (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3)))) 7.124 * [backup-simplify]: Simplify (+ (* (sqrt (exp -1)) (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3))))) (+ (* (* -1 (* (sqrt (exp -1)) (/ 1 n))) (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2))))) (+ (* (* -1/2 (* (sqrt (exp -1)) (/ 1 (pow n 2)))) (* -1 (* (sqrt (exp -1)) (/ 1 n)))) (* (* -1/6 (* (sqrt (exp -1)) (/ 1 (pow n 3)))) (sqrt (exp -1)))))) into (* 2/3 (/ (exp -1) (pow n 3))) 7.125 * [backup-simplify]: Simplify (+ (* 2/3 (/ (exp -1) (pow n 3))) 0) into (* 2/3 (/ (exp -1) (pow n 3))) 7.125 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.125 * [taylor]: Taking taylor expansion of 2/3 in n 7.125 * [backup-simplify]: Simplify 2/3 into 2/3 7.125 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.125 * [taylor]: Taking taylor expansion of (exp -1) in n 7.125 * [taylor]: Taking taylor expansion of -1 in n 7.125 * [backup-simplify]: Simplify -1 into -1 7.125 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.125 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.125 * [taylor]: Taking taylor expansion of n in n 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.125 * [backup-simplify]: Simplify (* 1 1) into 1 7.125 * [backup-simplify]: Simplify (* 1 1) into 1 7.126 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.128 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.130 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.133 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify (- (exp -1) 1) into (- (exp -1) 1) 7.136 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 7.136 * [backup-simplify]: Simplify (exp (/ (- (+ f n)) (- f n))) into (exp (* -1 (/ (+ n f) (- f n)))) 7.136 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in (f n) around 0 7.136 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in n 7.136 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in n 7.136 * [taylor]: Taking taylor expansion of -1 in n 7.136 * [backup-simplify]: Simplify -1 into -1 7.136 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in n 7.136 * [taylor]: Taking taylor expansion of (+ n f) in n 7.136 * [taylor]: Taking taylor expansion of n in n 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [taylor]: Taking taylor expansion of f in n 7.136 * [backup-simplify]: Simplify f into f 7.136 * [taylor]: Taking taylor expansion of (- f n) in n 7.136 * [taylor]: Taking taylor expansion of f in n 7.136 * [backup-simplify]: Simplify f into f 7.136 * [taylor]: Taking taylor expansion of n in n 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (+ 0 f) into f 7.136 * [backup-simplify]: Simplify (- 0) into 0 7.136 * [backup-simplify]: Simplify (+ f 0) into f 7.136 * [backup-simplify]: Simplify (/ f f) into 1 7.137 * [backup-simplify]: Simplify (* -1 1) into -1 7.137 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.137 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.137 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.137 * [taylor]: Taking taylor expansion of -1 in f 7.137 * [backup-simplify]: Simplify -1 into -1 7.137 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.137 * [taylor]: Taking taylor expansion of (+ n f) in f 7.137 * [taylor]: Taking taylor expansion of n in f 7.137 * [backup-simplify]: Simplify n into n 7.137 * [taylor]: Taking taylor expansion of f in f 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [taylor]: Taking taylor expansion of (- f n) in f 7.137 * [taylor]: Taking taylor expansion of f in f 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [taylor]: Taking taylor expansion of n in f 7.137 * [backup-simplify]: Simplify n into n 7.137 * [backup-simplify]: Simplify (+ n 0) into n 7.137 * [backup-simplify]: Simplify (- n) into (- n) 7.137 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.137 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.138 * [backup-simplify]: Simplify (* -1 -1) into 1 7.138 * [backup-simplify]: Simplify (exp 1) into E 7.138 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ n f) (- f n)))) in f 7.138 * [taylor]: Taking taylor expansion of (* -1 (/ (+ n f) (- f n))) in f 7.138 * [taylor]: Taking taylor expansion of -1 in f 7.138 * [backup-simplify]: Simplify -1 into -1 7.138 * [taylor]: Taking taylor expansion of (/ (+ n f) (- f n)) in f 7.138 * [taylor]: Taking taylor expansion of (+ n f) in f 7.138 * [taylor]: Taking taylor expansion of n in f 7.138 * [backup-simplify]: Simplify n into n 7.138 * [taylor]: Taking taylor expansion of f in f 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [taylor]: Taking taylor expansion of (- f n) in f 7.138 * [taylor]: Taking taylor expansion of f in f 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [taylor]: Taking taylor expansion of n in f 7.138 * [backup-simplify]: Simplify n into n 7.138 * [backup-simplify]: Simplify (+ n 0) into n 7.138 * [backup-simplify]: Simplify (- n) into (- n) 7.138 * [backup-simplify]: Simplify (+ 0 (- n)) into (- n) 7.138 * [backup-simplify]: Simplify (/ n (- n)) into -1 7.138 * [backup-simplify]: Simplify (* -1 -1) into 1 7.138 * [backup-simplify]: Simplify (exp 1) into E 7.138 * [taylor]: Taking taylor expansion of E in n 7.138 * [backup-simplify]: Simplify E into E 7.138 * [backup-simplify]: Simplify E into E 7.139 * [backup-simplify]: Simplify (+ 0 1) into 1 7.139 * [backup-simplify]: Simplify (- 0) into 0 7.139 * [backup-simplify]: Simplify (+ 1 0) into 1 7.139 * [backup-simplify]: Simplify (- (/ 1 (- n)) (+ (* -1 (/ 1 (- n))))) into (- (* 2 (/ 1 n))) 7.140 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 n)))) (* 0 -1)) into (* 2 (/ 1 n)) 7.140 * [backup-simplify]: Simplify (* (exp 1) (+ (* (/ (pow (* 2 (/ 1 n)) 1) 1)))) into (* 2 (/ E n)) 7.140 * [taylor]: Taking taylor expansion of (* 2 (/ E n)) in n 7.140 * [taylor]: Taking taylor expansion of 2 in n 7.140 * [backup-simplify]: Simplify 2 into 2 7.140 * [taylor]: Taking taylor expansion of (/ E n) in n 7.140 * [taylor]: Taking taylor expansion of E in n 7.140 * [backup-simplify]: Simplify E into E 7.140 * [taylor]: Taking taylor expansion of n in n 7.140 * [backup-simplify]: Simplify 0 into 0 7.140 * [backup-simplify]: Simplify 1 into 1 7.140 * [backup-simplify]: Simplify (/ E 1) into E 7.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 E)) into 0 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify (+ 0 0) into 0 7.142 * [backup-simplify]: Simplify (- 0) into 0 7.142 * [backup-simplify]: Simplify (+ 0 0) into 0 7.142 * [backup-simplify]: Simplify (- (/ 0 (- n)) (+ (* -1 (/ 0 (- n))) (* (- (* 2 (/ 1 n))) (/ 1 (- n))))) into (- (* 2 (/ 1 (pow n 2)))) 7.143 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow n 2))))) (+ (* 0 (- (* 2 (/ 1 n)))) (* 0 -1))) into (* 2 (/ 1 (pow n 2))) 7.143 * [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))) 7.143 * [taylor]: Taking taylor expansion of (* 4 (/ E (pow n 2))) in n 7.143 * [taylor]: Taking taylor expansion of 4 in n 7.143 * [backup-simplify]: Simplify 4 into 4 7.143 * [taylor]: Taking taylor expansion of (/ E (pow n 2)) in n 7.143 * [taylor]: Taking taylor expansion of E in n 7.143 * [backup-simplify]: Simplify E into E 7.143 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.143 * [taylor]: Taking taylor expansion of n in n 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.144 * [backup-simplify]: Simplify (* 1 1) into 1 7.144 * [backup-simplify]: Simplify (/ E 1) into E 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 E))) into 0 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 E))) into 0 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [backup-simplify]: Simplify (- 0) into 0 7.149 * [backup-simplify]: Simplify (+ 0 0) into 0 7.149 * [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)))) 7.150 * [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))) 7.150 * [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))) 7.150 * [taylor]: Taking taylor expansion of (* 22/3 (/ E (pow n 3))) in n 7.150 * [taylor]: Taking taylor expansion of 22/3 in n 7.150 * [backup-simplify]: Simplify 22/3 into 22/3 7.150 * [taylor]: Taking taylor expansion of (/ E (pow n 3)) in n 7.150 * [taylor]: Taking taylor expansion of E in n 7.150 * [backup-simplify]: Simplify E into E 7.150 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.150 * [taylor]: Taking taylor expansion of n in n 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 1 into 1 7.151 * [backup-simplify]: Simplify (* 1 1) into 1 7.151 * [backup-simplify]: Simplify (* 1 1) into 1 7.151 * [backup-simplify]: Simplify (/ E 1) into E 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)))) into 0 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* E (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (+ (* 22/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 E)))) into 0 7.157 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify E into E 7.157 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 f) (/ 1 n))) (- (/ 1 f) (/ 1 n)))) into (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) 7.157 * [approximate]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in (f n) around 0 7.157 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in n 7.157 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in n 7.157 * [taylor]: Taking taylor expansion of -1 in n 7.157 * [backup-simplify]: Simplify -1 into -1 7.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in n 7.158 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.158 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.158 * [taylor]: Taking taylor expansion of f in n 7.158 * [backup-simplify]: Simplify f into f 7.158 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.158 * [taylor]: Taking taylor expansion of n in n 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 1 into 1 7.158 * [backup-simplify]: Simplify (/ 1 1) into 1 7.158 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in n 7.158 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.158 * [taylor]: Taking taylor expansion of f in n 7.158 * [backup-simplify]: Simplify f into f 7.158 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.158 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.158 * [taylor]: Taking taylor expansion of n in n 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 1 into 1 7.158 * [backup-simplify]: Simplify (/ 1 1) into 1 7.159 * [backup-simplify]: Simplify (+ 0 1) into 1 7.159 * [backup-simplify]: Simplify (- 1) into -1 7.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.159 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.160 * [backup-simplify]: Simplify (* -1 -1) into 1 7.160 * [backup-simplify]: Simplify (exp 1) into E 7.160 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.160 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.160 * [taylor]: Taking taylor expansion of -1 in f 7.160 * [backup-simplify]: Simplify -1 into -1 7.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.160 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.160 * [taylor]: Taking taylor expansion of f in f 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 1 into 1 7.160 * [backup-simplify]: Simplify (/ 1 1) into 1 7.160 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.160 * [taylor]: Taking taylor expansion of n in f 7.160 * [backup-simplify]: Simplify n into n 7.160 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.160 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.160 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.160 * [taylor]: Taking taylor expansion of f in f 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 1 into 1 7.160 * [backup-simplify]: Simplify (/ 1 1) into 1 7.161 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.161 * [taylor]: Taking taylor expansion of n in f 7.161 * [backup-simplify]: Simplify n into n 7.161 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.161 * [backup-simplify]: Simplify (+ 1 0) into 1 7.161 * [backup-simplify]: Simplify (+ 1 0) into 1 7.161 * [backup-simplify]: Simplify (/ 1 1) into 1 7.162 * [backup-simplify]: Simplify (* -1 1) into -1 7.162 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.162 * [taylor]: Taking taylor expansion of (exp (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))))) in f 7.162 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n)))) in f 7.162 * [taylor]: Taking taylor expansion of -1 in f 7.162 * [backup-simplify]: Simplify -1 into -1 7.162 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 f) (/ 1 n))) in f 7.162 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.162 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.162 * [taylor]: Taking taylor expansion of f in f 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.162 * [backup-simplify]: Simplify (/ 1 1) into 1 7.162 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.162 * [taylor]: Taking taylor expansion of n in f 7.162 * [backup-simplify]: Simplify n into n 7.162 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.162 * [taylor]: Taking taylor expansion of (- (/ 1 f) (/ 1 n)) in f 7.162 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.162 * [taylor]: Taking taylor expansion of f in f 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (/ 1 1) into 1 7.163 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.163 * [taylor]: Taking taylor expansion of n in f 7.163 * [backup-simplify]: Simplify n into n 7.163 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.163 * [backup-simplify]: Simplify (+ 1 0) into 1 7.163 * [backup-simplify]: Simplify (+ 1 0) into 1 7.164 * [backup-simplify]: Simplify (/ 1 1) into 1 7.164 * [backup-simplify]: Simplify (* -1 1) into -1 7.164 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.164 * [taylor]: Taking taylor expansion of (exp -1) in n 7.164 * [taylor]: Taking taylor expansion of -1 in n 7.164 * [backup-simplify]: Simplify -1 into -1 7.164 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.165 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.166 * [backup-simplify]: Simplify (- (/ 1 n)) into (- (/ 1 n)) 7.166 * [backup-simplify]: Simplify (+ 0 (- (/ 1 n))) into (- (/ 1 n)) 7.166 * [backup-simplify]: Simplify (- (/ (/ 1 n) 1) (+ (* 1 (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 n)) 7.166 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 n))) (* 0 1)) into (- (* 2 (/ 1 n))) 7.167 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.167 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 7.167 * [taylor]: Taking taylor expansion of -2 in n 7.167 * [backup-simplify]: Simplify -2 into -2 7.167 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.167 * [taylor]: Taking taylor expansion of (exp -1) in n 7.167 * [taylor]: Taking taylor expansion of -1 in n 7.167 * [backup-simplify]: Simplify -1 into -1 7.167 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.167 * [taylor]: Taking taylor expansion of n in n 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.169 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.170 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.171 * [backup-simplify]: Simplify (+ 0 0) into 0 7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.172 * [backup-simplify]: Simplify (- 0) into 0 7.172 * [backup-simplify]: Simplify (+ 0 0) into 0 7.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 n)) (/ (- (/ 1 n)) 1)))) into (* 2 (/ 1 (pow n 2))) 7.173 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow n 2)))) (+ (* 0 (* 2 (/ 1 n))) (* 0 1))) into (- (* 2 (/ 1 (pow n 2)))) 7.174 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.174 * [taylor]: Taking taylor expansion of 0 in n 7.174 * [backup-simplify]: Simplify 0 into 0 7.174 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.176 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.178 * [backup-simplify]: Simplify (+ 0 0) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.179 * [backup-simplify]: Simplify (- 0) into 0 7.180 * [backup-simplify]: Simplify (+ 0 0) into 0 7.181 * [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))) 7.181 * [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)))) 7.182 * [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))) 7.182 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.182 * [taylor]: Taking taylor expansion of 2/3 in n 7.182 * [backup-simplify]: Simplify 2/3 into 2/3 7.182 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.182 * [taylor]: Taking taylor expansion of (exp -1) in n 7.182 * [taylor]: Taking taylor expansion of -1 in n 7.182 * [backup-simplify]: Simplify -1 into -1 7.182 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.183 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.183 * [taylor]: Taking taylor expansion of n in n 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.183 * [backup-simplify]: Simplify (* 1 1) into 1 7.183 * [backup-simplify]: Simplify (* 1 1) into 1 7.184 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.185 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.192 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.195 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.197 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.198 * [backup-simplify]: Simplify (exp (/ (- (+ (/ 1 (- f)) (/ 1 (- n)))) (- (/ 1 (- f)) (/ 1 (- n))))) into (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) 7.198 * [approximate]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in (f n) around 0 7.198 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in n 7.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in n 7.198 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in n 7.198 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.198 * [taylor]: Taking taylor expansion of f in n 7.198 * [backup-simplify]: Simplify f into f 7.198 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.198 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.198 * [taylor]: Taking taylor expansion of n in n 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in n 7.198 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.198 * [taylor]: Taking taylor expansion of n in n 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [taylor]: Taking taylor expansion of (/ 1 f) in n 7.199 * [taylor]: Taking taylor expansion of f in n 7.199 * [backup-simplify]: Simplify f into f 7.199 * [backup-simplify]: Simplify (/ 1 f) into (/ 1 f) 7.199 * [backup-simplify]: Simplify (+ 0 1) into 1 7.199 * [backup-simplify]: Simplify (+ 1 0) into 1 7.199 * [backup-simplify]: Simplify (/ 1 1) into 1 7.199 * [backup-simplify]: Simplify (exp 1) into E 7.199 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.199 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.199 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.199 * [taylor]: Taking taylor expansion of f in f 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (/ 1 1) into 1 7.200 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.200 * [taylor]: Taking taylor expansion of n in f 7.200 * [backup-simplify]: Simplify n into n 7.200 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.200 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.200 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.200 * [taylor]: Taking taylor expansion of n in f 7.200 * [backup-simplify]: Simplify n into n 7.200 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.200 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.200 * [taylor]: Taking taylor expansion of f in f 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (/ 1 1) into 1 7.200 * [backup-simplify]: Simplify (+ 1 0) into 1 7.201 * [backup-simplify]: Simplify (- 1) into -1 7.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.201 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.201 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.202 * [taylor]: Taking taylor expansion of (exp (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f)))) in f 7.202 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 f) (/ 1 n)) (- (/ 1 n) (/ 1 f))) in f 7.202 * [taylor]: Taking taylor expansion of (+ (/ 1 f) (/ 1 n)) in f 7.202 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.202 * [taylor]: Taking taylor expansion of f in f 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (/ 1 1) into 1 7.202 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.202 * [taylor]: Taking taylor expansion of n in f 7.202 * [backup-simplify]: Simplify n into n 7.202 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.202 * [taylor]: Taking taylor expansion of (- (/ 1 n) (/ 1 f)) in f 7.202 * [taylor]: Taking taylor expansion of (/ 1 n) in f 7.202 * [taylor]: Taking taylor expansion of n in f 7.202 * [backup-simplify]: Simplify n into n 7.202 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.202 * [taylor]: Taking taylor expansion of (/ 1 f) in f 7.202 * [taylor]: Taking taylor expansion of f in f 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (/ 1 1) into 1 7.203 * [backup-simplify]: Simplify (+ 1 0) into 1 7.203 * [backup-simplify]: Simplify (- 1) into -1 7.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.203 * [backup-simplify]: Simplify (/ 1 -1) into -1 7.204 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.204 * [taylor]: Taking taylor expansion of (exp -1) in n 7.204 * [taylor]: Taking taylor expansion of -1 in n 7.204 * [backup-simplify]: Simplify -1 into -1 7.204 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.204 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.205 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (- 0) into 0 7.206 * [backup-simplify]: Simplify (+ (/ 1 n) 0) into (/ 1 n) 7.206 * [backup-simplify]: Simplify (- (/ (/ 1 n) -1) (+ (* -1 (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 n))) 7.206 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 1) 1)))) into (* -2 (/ (exp -1) n)) 7.206 * [taylor]: Taking taylor expansion of (* -2 (/ (exp -1) n)) in n 7.206 * [taylor]: Taking taylor expansion of -2 in n 7.206 * [backup-simplify]: Simplify -2 into -2 7.206 * [taylor]: Taking taylor expansion of (/ (exp -1) n) in n 7.206 * [taylor]: Taking taylor expansion of (exp -1) in n 7.206 * [taylor]: Taking taylor expansion of -1 in n 7.206 * [backup-simplify]: Simplify -1 into -1 7.207 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.207 * [taylor]: Taking taylor expansion of n in n 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.208 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (exp -1))) into 0 7.209 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (- 0) into 0 7.212 * [backup-simplify]: Simplify (+ 0 0) into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (* 2 (/ 1 n))) (/ (/ 1 n) -1)))) into (- (* 2 (/ 1 (pow n 2)))) 7.213 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow (- (* 2 (/ 1 n))) 2) 2)) (* (/ (pow (- (* 2 (/ 1 (pow n 2)))) 1) 1)))) into 0 7.213 * [taylor]: Taking taylor expansion of 0 in n 7.213 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify 0 into 0 7.214 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.216 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (exp -1)))) into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.218 * [backup-simplify]: Simplify (+ 0 0) into 0 7.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.219 * [backup-simplify]: Simplify (- 0) into 0 7.219 * [backup-simplify]: Simplify (+ 0 0) into 0 7.220 * [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)))) 7.221 * [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))) 7.221 * [taylor]: Taking taylor expansion of (* 2/3 (/ (exp -1) (pow n 3))) in n 7.221 * [taylor]: Taking taylor expansion of 2/3 in n 7.221 * [backup-simplify]: Simplify 2/3 into 2/3 7.221 * [taylor]: Taking taylor expansion of (/ (exp -1) (pow n 3)) in n 7.221 * [taylor]: Taking taylor expansion of (exp -1) in n 7.221 * [taylor]: Taking taylor expansion of -1 in n 7.221 * [backup-simplify]: Simplify -1 into -1 7.221 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.221 * [taylor]: Taking taylor expansion of (pow n 3) in n 7.221 * [taylor]: Taking taylor expansion of n in n 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.222 * [backup-simplify]: Simplify (* 1 1) into 1 7.222 * [backup-simplify]: Simplify (* 1 1) into 1 7.222 * [backup-simplify]: Simplify (/ (exp -1) 1) into (exp -1) 7.224 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 7.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)))) into 0 7.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.229 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp -1))))) into 0 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify (exp -1) into (exp -1) 7.231 * * * [progress]: simplifying candidates 7.235 * [simplify]: Simplifying: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) 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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))) (/ (- 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n n))) (* (- f n) (+ (* f f) (- (* n n) (* f n)))) (* (- f n) (- f n)) (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (- (log (- (+ f n))) (log (- f n))) (log (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n))) (/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n))) (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n))) (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))) (- (- (+ f n))) (- (- f n)) (/ 0 (- f n)) (/ (+ f n) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (cbrt (- (+ f n))) (cbrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (sqrt (- f n))) (/ (cbrt (- (+ f n))) (sqrt (- f n))) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1) (/ (cbrt (- (+ f n))) (- f n)) (/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (+ (sqrt f) (sqrt n))) (/ (cbrt (- (+ f n))) (- 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(/ (+ 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))) 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(/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (- 1) (sqrt (- f n)))) (exp (/ (- 1) 1)) (exp (/ (- 1) (+ (sqrt f) (sqrt n)))) (exp (/ (- 1) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (sqrt (- f n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) (+ (sqrt f) (sqrt n)))) (exp (/ (* (cbrt (+ f n)) (cbrt (+ f n))) 1)) (exp (/ (sqrt (+ f n)) (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ (sqrt (+ f n)) (sqrt (- f n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ (sqrt (+ f n)) (+ (sqrt f) (sqrt n)))) (exp (/ (sqrt (+ f n)) 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp (/ 1 (* (cbrt (- f n)) (cbrt (- f n))))) (exp (/ 1 (sqrt (- f n)))) (exp (/ 1 1)) (exp (/ 1 (+ (sqrt f) (sqrt n)))) (exp (/ 1 1)) (exp 1) (exp (- (+ f n))) (exp (/ (- (+ f n)) (- (pow f 3) (pow n 3)))) (exp (/ (- (+ f n)) (- (* f f) (* n n)))) (exp (/ (+ f n) (- f n))) (exp (/ 0 (- f n))) (exp (/ (+ f n) (- f n))) (log (exp (/ (- (+ f n)) (- f n)))) (exp (exp (/ (- (+ f n)) (- f n)))) (* (cbrt (exp (/ (- (+ f n)) (- f n)))) (cbrt (exp (/ (- (+ f n)) (- f n))))) (cbrt (exp (/ (- (+ f n)) (- f n)))) (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) (sqrt (exp (/ (- (+ f n)) (- f n)))) 1 -1 -1 1 -1 -1 (- E 1) (- (exp -1) 1) (- (exp -1) 1) E (exp -1) (exp -1) 7.240 * * [simplify]: Extracting # 0 : cost 0 7.240 * * [simplify]: Extracting # 1 : cost 0 7.241 * * [simplify]: Extracting # 2 : cost 0 7.241 * * [simplify]: Extracting # 3 : cost 0 7.241 * * [simplify]: Extracting # 4 : cost 0 7.241 * * [simplify]: Extracting # 5 : cost 0 7.241 * * [simplify]: Extracting # 6 : cost 0 7.242 * * [simplify]: Extracting # 7 : cost 0 7.242 * * [simplify]: iteration 0 : 203 enodes (cost 4076 ) 7.310 * * [simplify]: Extracting # 0 : cost 0 7.311 * * [simplify]: Extracting # 1 : cost 0 7.311 * * [simplify]: Extracting # 2 : cost 0 7.312 * * [simplify]: Extracting # 3 : cost 0 7.312 * * [simplify]: iteration 1 : 402 enodes (cost 3707 ) 7.418 * * [simplify]: Extracting # 0 : cost 0 7.421 * * [simplify]: Extracting # 1 : cost 0 7.424 * * [simplify]: Extracting # 2 : cost 0 7.427 * * [simplify]: Extracting # 3 : cost 0 7.430 * * [simplify]: Extracting # 4 : cost 0 7.433 * * [simplify]: iteration 2 : 1309 enodes (cost 3612 ) 8.064 * * [simplify]: Extracting # 0 : cost 0 8.085 * * [simplify]: Extracting # 1 : cost 0 8.098 * * [simplify]: Extracting # 2 : cost 0 8.114 * * [simplify]: Extracting # 3 : cost 0 8.125 * * [simplify]: Extracting # 4 : cost 0 8.135 * * [simplify]: iteration done: 5000 enodes (cost 3587 ) 8.139 * [simplify]: Simplified to: (expm1 (/ (- (+ f n)) (- f n))) (log1p (/ (- (+ f n)) (- f n))) (log 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[progress]: adding candidates to table 9.478 * [progress]: [Phase 3 of 3] Extracting. 9.479 * * [regime]: Finding splitpoints for: (# #) 9.480 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- (+ f n)) (- f n)) n f) 9.480 * * * * [regimes]: Trying to branch on (/ (- (+ f n)) (- f n)) from (# #) 9.493 * * * * [regimes]: Trying to branch on n from (# #) 9.508 * * * * [regimes]: Trying to branch on f from (# #) 9.540 * * * [regime]: Found split indices: #