33.309 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.039 * * * [progress]: [2/2] Setting up program.
0.042 * [progress]: [Phase 2 of 3] Improving.
0.042 * [simplify]: Simplifying:
  (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) 2.0)
0.042 * [simplify]: Sending expressions to egg_math:
 (/ (+ (/ (/ (* (+ h4 h3) (- h3 h4)) (+ (+ h4 h3) (* h0 h2))) (+ (+ (+ h4 h3) (* h0 h2)) h0)) h1) h0)
0.086 * * [progress]: iteration 1 / 4
0.086 * * * [progress]: picking best candidate
0.088 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) 2.0))>
0.088 * * * [progress]: localizing error
0.125 * * * [progress]: generating rewritten candidates
0.125 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1)
0.187 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.951 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
1.194 * * * [progress]: generating series expansions
1.194 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1)
1.195 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) into (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta)))
1.195 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in (alpha beta i) around 0
1.195 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in i
1.195 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
1.195 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
1.195 * [taylor]: Taking taylor expansion of alpha in i
1.195 * [backup-simplify]: Simplify alpha into alpha
1.195 * [taylor]: Taking taylor expansion of beta in i
1.195 * [backup-simplify]: Simplify beta into beta
1.195 * [taylor]: Taking taylor expansion of (- beta alpha) in i
1.195 * [taylor]: Taking taylor expansion of beta in i
1.195 * [backup-simplify]: Simplify beta into beta
1.195 * [taylor]: Taking taylor expansion of alpha in i
1.195 * [backup-simplify]: Simplify alpha into alpha
1.195 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.195 * [taylor]: Taking taylor expansion of alpha in i
1.195 * [backup-simplify]: Simplify alpha into alpha
1.195 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.195 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.195 * [taylor]: Taking taylor expansion of 2.0 in i
1.195 * [backup-simplify]: Simplify 2.0 into 2.0
1.195 * [taylor]: Taking taylor expansion of i in i
1.195 * [backup-simplify]: Simplify 0 into 0
1.195 * [backup-simplify]: Simplify 1 into 1
1.195 * [taylor]: Taking taylor expansion of beta in i
1.195 * [backup-simplify]: Simplify beta into beta
1.196 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.196 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.196 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
1.196 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
1.197 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.197 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.197 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.197 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (+ alpha beta)) into (- beta alpha)
1.197 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in beta
1.197 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
1.197 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
1.197 * [taylor]: Taking taylor expansion of alpha in beta
1.197 * [backup-simplify]: Simplify alpha into alpha
1.197 * [taylor]: Taking taylor expansion of beta in beta
1.197 * [backup-simplify]: Simplify 0 into 0
1.197 * [backup-simplify]: Simplify 1 into 1
1.197 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
1.197 * [taylor]: Taking taylor expansion of beta in beta
1.197 * [backup-simplify]: Simplify 0 into 0
1.197 * [backup-simplify]: Simplify 1 into 1
1.197 * [taylor]: Taking taylor expansion of alpha in beta
1.197 * [backup-simplify]: Simplify alpha into alpha
1.197 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.197 * [taylor]: Taking taylor expansion of alpha in beta
1.197 * [backup-simplify]: Simplify alpha into alpha
1.197 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.197 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.197 * [taylor]: Taking taylor expansion of 2.0 in beta
1.198 * [backup-simplify]: Simplify 2.0 into 2.0
1.198 * [taylor]: Taking taylor expansion of i in beta
1.198 * [backup-simplify]: Simplify i into i
1.198 * [taylor]: Taking taylor expansion of beta in beta
1.198 * [backup-simplify]: Simplify 0 into 0
1.198 * [backup-simplify]: Simplify 1 into 1
1.198 * [backup-simplify]: Simplify (+ alpha 0) into alpha
1.198 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.198 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
1.198 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
1.198 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.198 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.198 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.198 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (+ alpha (* 2.0 i))) into (* -1 (/ (pow alpha 2) (+ alpha (* 2.0 i))))
1.198 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in alpha
1.198 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.198 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.199 * [taylor]: Taking taylor expansion of alpha in alpha
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [taylor]: Taking taylor expansion of beta in alpha
1.199 * [backup-simplify]: Simplify beta into beta
1.199 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.199 * [taylor]: Taking taylor expansion of beta in alpha
1.199 * [backup-simplify]: Simplify beta into beta
1.199 * [taylor]: Taking taylor expansion of alpha in alpha
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.199 * [taylor]: Taking taylor expansion of alpha in alpha
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify 1 into 1
1.199 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.199 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.199 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.199 * [backup-simplify]: Simplify 2.0 into 2.0
1.199 * [taylor]: Taking taylor expansion of i in alpha
1.199 * [backup-simplify]: Simplify i into i
1.199 * [taylor]: Taking taylor expansion of beta in alpha
1.199 * [backup-simplify]: Simplify beta into beta
1.199 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.200 * [backup-simplify]: Simplify (- 0) into 0
1.200 * [backup-simplify]: Simplify (+ beta 0) into beta
1.200 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.200 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.200 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.200 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.200 * [backup-simplify]: Simplify (/ (pow beta 2) (+ (* 2.0 i) beta)) into (/ (pow beta 2) (+ (* 2.0 i) beta))
1.200 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in alpha
1.200 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.200 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.200 * [taylor]: Taking taylor expansion of alpha in alpha
1.200 * [backup-simplify]: Simplify 0 into 0
1.200 * [backup-simplify]: Simplify 1 into 1
1.200 * [taylor]: Taking taylor expansion of beta in alpha
1.200 * [backup-simplify]: Simplify beta into beta
1.200 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.201 * [taylor]: Taking taylor expansion of beta in alpha
1.201 * [backup-simplify]: Simplify beta into beta
1.201 * [taylor]: Taking taylor expansion of alpha in alpha
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.201 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.201 * [taylor]: Taking taylor expansion of alpha in alpha
1.201 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify 1 into 1
1.201 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.201 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.201 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.201 * [backup-simplify]: Simplify 2.0 into 2.0
1.201 * [taylor]: Taking taylor expansion of i in alpha
1.201 * [backup-simplify]: Simplify i into i
1.201 * [taylor]: Taking taylor expansion of beta in alpha
1.201 * [backup-simplify]: Simplify beta into beta
1.201 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.201 * [backup-simplify]: Simplify (- 0) into 0
1.202 * [backup-simplify]: Simplify (+ beta 0) into beta
1.202 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.202 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.202 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.202 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.202 * [backup-simplify]: Simplify (/ (pow beta 2) (+ (* 2.0 i) beta)) into (/ (pow beta 2) (+ (* 2.0 i) beta))
1.202 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (+ (* 2.0 i) beta)) in beta
1.202 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.202 * [taylor]: Taking taylor expansion of beta in beta
1.202 * [backup-simplify]: Simplify 0 into 0
1.202 * [backup-simplify]: Simplify 1 into 1
1.202 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.202 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.202 * [taylor]: Taking taylor expansion of 2.0 in beta
1.202 * [backup-simplify]: Simplify 2.0 into 2.0
1.202 * [taylor]: Taking taylor expansion of i in beta
1.202 * [backup-simplify]: Simplify i into i
1.203 * [taylor]: Taking taylor expansion of beta in beta
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 1 into 1
1.203 * [backup-simplify]: Simplify (* 1 1) into 1
1.203 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.203 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.203 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
1.204 * [backup-simplify]: Simplify (- 1) into -1
1.204 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.205 * [backup-simplify]: Simplify (+ 1 0) into 1
1.205 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
1.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.206 * [backup-simplify]: Simplify (+ 0 0) into 0
1.206 * [backup-simplify]: Simplify (+ 1 0) into 1
1.207 * [backup-simplify]: Simplify (- (/ 0 (+ (* 2.0 i) beta)) (+ (* (/ (pow beta 2) (+ (* 2.0 i) beta)) (/ 1 (+ (* 2.0 i) beta))))) into (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2)))
1.207 * [taylor]: Taking taylor expansion of (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) in beta
1.207 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2)) in beta
1.207 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.207 * [taylor]: Taking taylor expansion of beta in beta
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 1 into 1
1.207 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.207 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.207 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.207 * [taylor]: Taking taylor expansion of 2.0 in beta
1.207 * [backup-simplify]: Simplify 2.0 into 2.0
1.207 * [taylor]: Taking taylor expansion of i in beta
1.207 * [backup-simplify]: Simplify i into i
1.207 * [taylor]: Taking taylor expansion of beta in beta
1.207 * [backup-simplify]: Simplify 0 into 0
1.207 * [backup-simplify]: Simplify 1 into 1
1.207 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.207 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.208 * [backup-simplify]: Simplify (* 1 1) into 1
1.208 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.208 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
1.209 * [backup-simplify]: Simplify (- 0) into 0
1.209 * [backup-simplify]: Simplify (+ 0 0) into 0
1.209 * [backup-simplify]: Simplify (+ 0 0) into 0
1.210 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
1.211 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.211 * [backup-simplify]: Simplify (+ 0 0) into 0
1.211 * [backup-simplify]: Simplify (+ 0 0) into 0
1.213 * [backup-simplify]: Simplify (- (/ (- 1) (+ (* 2.0 i) beta)) (+ (* (/ (pow beta 2) (+ (* 2.0 i) beta)) (/ 0 (+ (* 2.0 i) beta))) (* (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) (/ 1 (+ (* 2.0 i) beta))))) into (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta)))
1.213 * [taylor]: Taking taylor expansion of (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta))) in beta
1.213 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) in beta
1.213 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.213 * [taylor]: Taking taylor expansion of beta in beta
1.213 * [backup-simplify]: Simplify 0 into 0
1.213 * [backup-simplify]: Simplify 1 into 1
1.213 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.213 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.213 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.213 * [taylor]: Taking taylor expansion of 2.0 in beta
1.213 * [backup-simplify]: Simplify 2.0 into 2.0
1.213 * [taylor]: Taking taylor expansion of i in beta
1.214 * [backup-simplify]: Simplify i into i
1.214 * [taylor]: Taking taylor expansion of beta in beta
1.214 * [backup-simplify]: Simplify 0 into 0
1.214 * [backup-simplify]: Simplify 1 into 1
1.214 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.214 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.214 * [backup-simplify]: Simplify (* 1 1) into 1
1.214 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.215 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.215 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
1.215 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) beta)) in beta
1.215 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.215 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.215 * [taylor]: Taking taylor expansion of 2.0 in beta
1.215 * [backup-simplify]: Simplify 2.0 into 2.0
1.215 * [taylor]: Taking taylor expansion of i in beta
1.215 * [backup-simplify]: Simplify i into i
1.215 * [taylor]: Taking taylor expansion of beta in beta
1.215 * [backup-simplify]: Simplify 0 into 0
1.215 * [backup-simplify]: Simplify 1 into 1
1.215 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.215 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.215 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
1.215 * [backup-simplify]: Simplify (- (/ 0.5 i)) into (- (* 0.5 (/ 1 i)))
1.216 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 i)))) into (- (* 0.5 (/ 1 i)))
1.216 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 i))) in i
1.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 i)) in i
1.216 * [taylor]: Taking taylor expansion of 0.5 in i
1.216 * [backup-simplify]: Simplify 0.5 into 0.5
1.216 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.216 * [taylor]: Taking taylor expansion of i in i
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [backup-simplify]: Simplify (/ 1 1) into 1
1.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
1.218 * [backup-simplify]: Simplify (- 0) into 0
1.218 * [backup-simplify]: Simplify 0 into 0
1.218 * [taylor]: Taking taylor expansion of (/ 0.5 i) in i
1.218 * [taylor]: Taking taylor expansion of 0.5 in i
1.218 * [backup-simplify]: Simplify 0.5 into 0.5
1.218 * [taylor]: Taking taylor expansion of i in i
1.218 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify 1 into 1
1.219 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
1.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
1.220 * [backup-simplify]: Simplify 0 into 0
1.220 * [backup-simplify]: Simplify (- 0) into 0
1.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1.222 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
1.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
1.224 * [backup-simplify]: Simplify (+ 0 0) into 0
1.224 * [backup-simplify]: Simplify (+ 0 0) into 0
1.226 * [backup-simplify]: Simplify (- (/ 0 (+ (* 2.0 i) beta)) (+ (* (/ (pow beta 2) (+ (* 2.0 i) beta)) (/ 0 (+ (* 2.0 i) beta))) (* (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) (/ 0 (+ (* 2.0 i) beta))) (* (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta))) (/ 1 (+ (* 2.0 i) beta))))) into (- (/ 1 (pow (+ (* 2.0 i) beta) 2)) (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4)))
1.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (+ (* 2.0 i) beta) 2)) (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4))) in beta
1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) beta) 2)) in beta
1.226 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.226 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.226 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.226 * [taylor]: Taking taylor expansion of 2.0 in beta
1.226 * [backup-simplify]: Simplify 2.0 into 2.0
1.226 * [taylor]: Taking taylor expansion of i in beta
1.226 * [backup-simplify]: Simplify i into i
1.226 * [taylor]: Taking taylor expansion of beta in beta
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 1 into 1
1.227 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.227 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.227 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.227 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
1.227 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4)) in beta
1.227 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.227 * [taylor]: Taking taylor expansion of beta in beta
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 1 into 1
1.227 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.227 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.227 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.227 * [taylor]: Taking taylor expansion of 2.0 in beta
1.227 * [backup-simplify]: Simplify 2.0 into 2.0
1.227 * [taylor]: Taking taylor expansion of i in beta
1.227 * [backup-simplify]: Simplify i into i
1.227 * [taylor]: Taking taylor expansion of beta in beta
1.227 * [backup-simplify]: Simplify 0 into 0
1.228 * [backup-simplify]: Simplify 1 into 1
1.228 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.228 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.228 * [backup-simplify]: Simplify (* 1 1) into 1
1.228 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.229 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.229 * [backup-simplify]: Simplify (/ 1 (* 16.0 (pow i 4))) into (/ 0.0625 (pow i 4))
1.229 * [backup-simplify]: Simplify (+ (/ 0.25 (pow i 2)) 0) into (* 0.25 (/ 1 (pow i 2)))
1.229 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.229 * [taylor]: Taking taylor expansion of 0.25 in i
1.229 * [backup-simplify]: Simplify 0.25 into 0.25
1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.229 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.229 * [taylor]: Taking taylor expansion of i in i
1.229 * [backup-simplify]: Simplify 0 into 0
1.229 * [backup-simplify]: Simplify 1 into 1
1.230 * [backup-simplify]: Simplify (* 1 1) into 1
1.230 * [backup-simplify]: Simplify (/ 1 1) into 1
1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.234 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.234 * [backup-simplify]: Simplify 0 into 0
1.235 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.235 * [backup-simplify]: Simplify (+ 0 1) into 1
1.236 * [backup-simplify]: Simplify (- (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
1.236 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow i 2))))) into (* 0.25 (/ 1 (pow i 2)))
1.236 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 (pow i 2)))) into (* 0.25 (/ 1 (pow i 2)))
1.236 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.236 * [taylor]: Taking taylor expansion of 0.25 in i
1.236 * [backup-simplify]: Simplify 0.25 into 0.25
1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.237 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.237 * [taylor]: Taking taylor expansion of i in i
1.237 * [backup-simplify]: Simplify 0 into 0
1.237 * [backup-simplify]: Simplify 1 into 1
1.237 * [backup-simplify]: Simplify (* 1 1) into 1
1.237 * [backup-simplify]: Simplify (/ 1 1) into 1
1.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.242 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify (- (/ 0.25 (pow i 2))) into (- (* 0.25 (/ 1 (pow i 2))))
1.242 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
1.242 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.242 * [taylor]: Taking taylor expansion of 0.25 in i
1.242 * [backup-simplify]: Simplify 0.25 into 0.25
1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.242 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.242 * [taylor]: Taking taylor expansion of i in i
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify 1 into 1
1.243 * [backup-simplify]: Simplify (* 1 1) into 1
1.243 * [backup-simplify]: Simplify (/ 1 1) into 1
1.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.247 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.248 * [backup-simplify]: Simplify (- 0) into 0
1.248 * [backup-simplify]: Simplify 0 into 0
1.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.249 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.249 * [backup-simplify]: Simplify (+ 0 1) into 1
1.250 * [backup-simplify]: Simplify (- (/ 0 (* 2.0 i)) (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
1.250 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
1.250 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.250 * [taylor]: Taking taylor expansion of 0.25 in i
1.250 * [backup-simplify]: Simplify 0.25 into 0.25
1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.250 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.250 * [taylor]: Taking taylor expansion of i in i
1.250 * [backup-simplify]: Simplify 0 into 0
1.250 * [backup-simplify]: Simplify 1 into 1
1.250 * [backup-simplify]: Simplify (* 1 1) into 1
1.251 * [backup-simplify]: Simplify (/ 1 1) into 1
1.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.255 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.255 * [backup-simplify]: Simplify (- 0) into 0
1.255 * [backup-simplify]: Simplify 0 into 0
1.255 * [backup-simplify]: Simplify 0 into 0
1.256 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))
1.256 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (alpha beta i) around 0
1.256 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.256 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.256 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.256 * [taylor]: Taking taylor expansion of alpha in i
1.256 * [backup-simplify]: Simplify alpha into alpha
1.256 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.256 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.256 * [taylor]: Taking taylor expansion of beta in i
1.256 * [backup-simplify]: Simplify beta into beta
1.256 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.256 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
1.256 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.256 * [taylor]: Taking taylor expansion of beta in i
1.256 * [backup-simplify]: Simplify beta into beta
1.256 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.256 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.256 * [taylor]: Taking taylor expansion of alpha in i
1.257 * [backup-simplify]: Simplify alpha into alpha
1.257 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.257 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.257 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.257 * [taylor]: Taking taylor expansion of alpha in i
1.257 * [backup-simplify]: Simplify alpha into alpha
1.257 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.257 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.257 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.257 * [taylor]: Taking taylor expansion of 2.0 in i
1.257 * [backup-simplify]: Simplify 2.0 into 2.0
1.257 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.257 * [taylor]: Taking taylor expansion of i in i
1.257 * [backup-simplify]: Simplify 0 into 0
1.257 * [backup-simplify]: Simplify 1 into 1
1.257 * [backup-simplify]: Simplify (/ 1 1) into 1
1.257 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.258 * [taylor]: Taking taylor expansion of beta in i
1.258 * [backup-simplify]: Simplify beta into beta
1.258 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.258 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.258 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
1.258 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
1.258 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
1.259 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.259 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.260 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.260 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 2.0) into (* 0.5 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
1.260 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.260 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.260 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.260 * [taylor]: Taking taylor expansion of alpha in beta
1.260 * [backup-simplify]: Simplify alpha into alpha
1.260 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.260 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.260 * [taylor]: Taking taylor expansion of beta in beta
1.260 * [backup-simplify]: Simplify 0 into 0
1.260 * [backup-simplify]: Simplify 1 into 1
1.261 * [backup-simplify]: Simplify (/ 1 1) into 1
1.261 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
1.261 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.261 * [taylor]: Taking taylor expansion of beta in beta
1.261 * [backup-simplify]: Simplify 0 into 0
1.261 * [backup-simplify]: Simplify 1 into 1
1.261 * [backup-simplify]: Simplify (/ 1 1) into 1
1.261 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.261 * [taylor]: Taking taylor expansion of alpha in beta
1.261 * [backup-simplify]: Simplify alpha into alpha
1.261 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.261 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.261 * [taylor]: Taking taylor expansion of alpha in beta
1.262 * [backup-simplify]: Simplify alpha into alpha
1.262 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.262 * [taylor]: Taking taylor expansion of 2.0 in beta
1.262 * [backup-simplify]: Simplify 2.0 into 2.0
1.262 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.262 * [taylor]: Taking taylor expansion of i in beta
1.262 * [backup-simplify]: Simplify i into i
1.262 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.262 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.262 * [taylor]: Taking taylor expansion of beta in beta
1.262 * [backup-simplify]: Simplify 0 into 0
1.262 * [backup-simplify]: Simplify 1 into 1
1.262 * [backup-simplify]: Simplify (/ 1 1) into 1
1.263 * [backup-simplify]: Simplify (+ 0 1) into 1
1.263 * [backup-simplify]: Simplify (+ 1 0) into 1
1.263 * [backup-simplify]: Simplify (* 1 1) into 1
1.264 * [backup-simplify]: Simplify (+ 0 1) into 1
1.264 * [backup-simplify]: Simplify (+ 0 1) into 1
1.265 * [backup-simplify]: Simplify (/ 1 1) into 1
1.265 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.265 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.265 * [taylor]: Taking taylor expansion of alpha in alpha
1.265 * [backup-simplify]: Simplify 0 into 0
1.265 * [backup-simplify]: Simplify 1 into 1
1.265 * [backup-simplify]: Simplify (/ 1 1) into 1
1.265 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.265 * [taylor]: Taking taylor expansion of beta in alpha
1.265 * [backup-simplify]: Simplify beta into beta
1.266 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.266 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.266 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.266 * [taylor]: Taking taylor expansion of beta in alpha
1.266 * [backup-simplify]: Simplify beta into beta
1.266 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.266 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.266 * [taylor]: Taking taylor expansion of alpha in alpha
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [backup-simplify]: Simplify 1 into 1
1.266 * [backup-simplify]: Simplify (/ 1 1) into 1
1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.266 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.266 * [taylor]: Taking taylor expansion of alpha in alpha
1.266 * [backup-simplify]: Simplify 0 into 0
1.266 * [backup-simplify]: Simplify 1 into 1
1.267 * [backup-simplify]: Simplify (/ 1 1) into 1
1.267 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.267 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.267 * [backup-simplify]: Simplify 2.0 into 2.0
1.267 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.267 * [taylor]: Taking taylor expansion of i in alpha
1.267 * [backup-simplify]: Simplify i into i
1.267 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.267 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.267 * [taylor]: Taking taylor expansion of beta in alpha
1.267 * [backup-simplify]: Simplify beta into beta
1.267 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.268 * [backup-simplify]: Simplify (+ 1 0) into 1
1.268 * [backup-simplify]: Simplify (- 1) into -1
1.268 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.269 * [backup-simplify]: Simplify (* 1 -1) into -1
1.269 * [backup-simplify]: Simplify (+ 1 0) into 1
1.270 * [backup-simplify]: Simplify (/ -1 1) into -1
1.270 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.270 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.270 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.270 * [taylor]: Taking taylor expansion of alpha in alpha
1.270 * [backup-simplify]: Simplify 0 into 0
1.270 * [backup-simplify]: Simplify 1 into 1
1.270 * [backup-simplify]: Simplify (/ 1 1) into 1
1.270 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.270 * [taylor]: Taking taylor expansion of beta in alpha
1.270 * [backup-simplify]: Simplify beta into beta
1.270 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.270 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.270 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.270 * [taylor]: Taking taylor expansion of beta in alpha
1.270 * [backup-simplify]: Simplify beta into beta
1.270 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.270 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.271 * [taylor]: Taking taylor expansion of alpha in alpha
1.271 * [backup-simplify]: Simplify 0 into 0
1.271 * [backup-simplify]: Simplify 1 into 1
1.271 * [backup-simplify]: Simplify (/ 1 1) into 1
1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.271 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.271 * [taylor]: Taking taylor expansion of alpha in alpha
1.271 * [backup-simplify]: Simplify 0 into 0
1.271 * [backup-simplify]: Simplify 1 into 1
1.271 * [backup-simplify]: Simplify (/ 1 1) into 1
1.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.272 * [backup-simplify]: Simplify 2.0 into 2.0
1.272 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.272 * [taylor]: Taking taylor expansion of i in alpha
1.272 * [backup-simplify]: Simplify i into i
1.272 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.272 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.272 * [taylor]: Taking taylor expansion of beta in alpha
1.272 * [backup-simplify]: Simplify beta into beta
1.272 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.272 * [backup-simplify]: Simplify (+ 1 0) into 1
1.273 * [backup-simplify]: Simplify (- 1) into -1
1.273 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.274 * [backup-simplify]: Simplify (* 1 -1) into -1
1.274 * [backup-simplify]: Simplify (+ 1 0) into 1
1.274 * [backup-simplify]: Simplify (/ -1 1) into -1
1.274 * [taylor]: Taking taylor expansion of -1 in beta
1.274 * [backup-simplify]: Simplify -1 into -1
1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.276 * [backup-simplify]: Simplify (- 0) into 0
1.276 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.276 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.277 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.277 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.278 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.278 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.279 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.279 * [taylor]: Taking taylor expansion of 2.0 in beta
1.279 * [backup-simplify]: Simplify 2.0 into 2.0
1.279 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.279 * [taylor]: Taking taylor expansion of i in beta
1.279 * [backup-simplify]: Simplify i into i
1.279 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.279 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.279 * [taylor]: Taking taylor expansion of beta in beta
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 1 into 1
1.279 * [backup-simplify]: Simplify (/ 1 1) into 1
1.280 * [backup-simplify]: Simplify (+ 0 1) into 1
1.280 * [taylor]: Taking taylor expansion of 1 in i
1.280 * [backup-simplify]: Simplify 1 into 1
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [taylor]: Taking taylor expansion of -1 in i
1.280 * [backup-simplify]: Simplify -1 into -1
1.280 * [backup-simplify]: Simplify 0 into 0
1.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.281 * [backup-simplify]: Simplify (- 0) into 0
1.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.282 * [backup-simplify]: Simplify (+ 0 0) into 0
1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
1.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.283 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.284 * [backup-simplify]: Simplify (+ 0 0) into 0
1.284 * [backup-simplify]: Simplify (+ 0 0) into 0
1.285 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ 0 1)) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))))
1.285 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta))))) in beta
1.285 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))) in beta
1.285 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in beta
1.285 * [taylor]: Taking taylor expansion of 4.0 in beta
1.285 * [backup-simplify]: Simplify 4.0 into 4.0
1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.285 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.285 * [taylor]: Taking taylor expansion of i in beta
1.285 * [backup-simplify]: Simplify i into i
1.285 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.285 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.285 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* i beta))) in beta
1.285 * [taylor]: Taking taylor expansion of 4.0 in beta
1.285 * [backup-simplify]: Simplify 4.0 into 4.0
1.285 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.285 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.285 * [taylor]: Taking taylor expansion of i in beta
1.285 * [backup-simplify]: Simplify i into i
1.285 * [taylor]: Taking taylor expansion of beta in beta
1.285 * [backup-simplify]: Simplify 0 into 0
1.285 * [backup-simplify]: Simplify 1 into 1
1.285 * [backup-simplify]: Simplify (* i 0) into 0
1.286 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.286 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.286 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.286 * [backup-simplify]: Simplify (+ 0 (/ 4.0 i)) into (* 4.0 (/ 1 i))
1.286 * [backup-simplify]: Simplify (- (* 4.0 (/ 1 i))) into (- (* 4.0 (/ 1 i)))
1.286 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i))) in i
1.286 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.286 * [taylor]: Taking taylor expansion of 4.0 in i
1.286 * [backup-simplify]: Simplify 4.0 into 4.0
1.286 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.286 * [taylor]: Taking taylor expansion of i in i
1.286 * [backup-simplify]: Simplify 0 into 0
1.286 * [backup-simplify]: Simplify 1 into 1
1.286 * [backup-simplify]: Simplify (/ 1 1) into 1
1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.293 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.294 * [backup-simplify]: Simplify (- 0) into 0
1.294 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.294 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
1.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.294 * [taylor]: Taking taylor expansion of 2.0 in i
1.294 * [backup-simplify]: Simplify 2.0 into 2.0
1.294 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.294 * [taylor]: Taking taylor expansion of i in i
1.294 * [backup-simplify]: Simplify 0 into 0
1.294 * [backup-simplify]: Simplify 1 into 1
1.295 * [backup-simplify]: Simplify (/ 1 1) into 1
1.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.296 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [taylor]: Taking taylor expansion of 0 in i
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify (/ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (- (/ 1 (- beta)) (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))
1.297 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (alpha beta i) around 0
1.297 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.297 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
1.297 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
1.297 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.297 * [taylor]: Taking taylor expansion of alpha in i
1.297 * [backup-simplify]: Simplify alpha into alpha
1.297 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.297 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.297 * [taylor]: Taking taylor expansion of beta in i
1.297 * [backup-simplify]: Simplify beta into beta
1.297 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.297 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.297 * [taylor]: Taking taylor expansion of alpha in i
1.297 * [backup-simplify]: Simplify alpha into alpha
1.297 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.297 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.297 * [taylor]: Taking taylor expansion of beta in i
1.297 * [backup-simplify]: Simplify beta into beta
1.297 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.297 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.297 * [taylor]: Taking taylor expansion of alpha in i
1.297 * [backup-simplify]: Simplify alpha into alpha
1.297 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.297 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.297 * [taylor]: Taking taylor expansion of 2.0 in i
1.297 * [backup-simplify]: Simplify 2.0 into 2.0
1.298 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.298 * [taylor]: Taking taylor expansion of i in i
1.298 * [backup-simplify]: Simplify 0 into 0
1.298 * [backup-simplify]: Simplify 1 into 1
1.298 * [backup-simplify]: Simplify (/ 1 1) into 1
1.298 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.298 * [taylor]: Taking taylor expansion of beta in i
1.298 * [backup-simplify]: Simplify beta into beta
1.298 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.298 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.298 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
1.298 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.298 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
1.299 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.299 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.299 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.299 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) 2.0) into (* 0.5 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
1.299 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.299 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
1.299 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
1.299 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.299 * [taylor]: Taking taylor expansion of alpha in beta
1.299 * [backup-simplify]: Simplify alpha into alpha
1.299 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.299 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.299 * [taylor]: Taking taylor expansion of beta in beta
1.299 * [backup-simplify]: Simplify 0 into 0
1.299 * [backup-simplify]: Simplify 1 into 1
1.300 * [backup-simplify]: Simplify (/ 1 1) into 1
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.300 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.300 * [taylor]: Taking taylor expansion of alpha in beta
1.300 * [backup-simplify]: Simplify alpha into alpha
1.300 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.300 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.300 * [taylor]: Taking taylor expansion of beta in beta
1.300 * [backup-simplify]: Simplify 0 into 0
1.300 * [backup-simplify]: Simplify 1 into 1
1.300 * [backup-simplify]: Simplify (/ 1 1) into 1
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.300 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.300 * [taylor]: Taking taylor expansion of alpha in beta
1.300 * [backup-simplify]: Simplify alpha into alpha
1.300 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.300 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.300 * [taylor]: Taking taylor expansion of 2.0 in beta
1.300 * [backup-simplify]: Simplify 2.0 into 2.0
1.300 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.300 * [taylor]: Taking taylor expansion of i in beta
1.300 * [backup-simplify]: Simplify i into i
1.300 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.300 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.300 * [taylor]: Taking taylor expansion of beta in beta
1.301 * [backup-simplify]: Simplify 0 into 0
1.301 * [backup-simplify]: Simplify 1 into 1
1.301 * [backup-simplify]: Simplify (/ 1 1) into 1
1.301 * [backup-simplify]: Simplify (- 1) into -1
1.301 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.302 * [backup-simplify]: Simplify (+ 0 1) into 1
1.302 * [backup-simplify]: Simplify (* -1 1) into -1
1.302 * [backup-simplify]: Simplify (+ 0 1) into 1
1.302 * [backup-simplify]: Simplify (+ 0 1) into 1
1.303 * [backup-simplify]: Simplify (/ -1 1) into -1
1.303 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.303 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.303 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.303 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.303 * [taylor]: Taking taylor expansion of alpha in alpha
1.303 * [backup-simplify]: Simplify 0 into 0
1.303 * [backup-simplify]: Simplify 1 into 1
1.303 * [backup-simplify]: Simplify (/ 1 1) into 1
1.303 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.303 * [taylor]: Taking taylor expansion of beta in alpha
1.303 * [backup-simplify]: Simplify beta into beta
1.303 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.303 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.303 * [taylor]: Taking taylor expansion of alpha in alpha
1.303 * [backup-simplify]: Simplify 0 into 0
1.303 * [backup-simplify]: Simplify 1 into 1
1.303 * [backup-simplify]: Simplify (/ 1 1) into 1
1.303 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.303 * [taylor]: Taking taylor expansion of beta in alpha
1.303 * [backup-simplify]: Simplify beta into beta
1.303 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.303 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.303 * [taylor]: Taking taylor expansion of alpha in alpha
1.303 * [backup-simplify]: Simplify 0 into 0
1.303 * [backup-simplify]: Simplify 1 into 1
1.304 * [backup-simplify]: Simplify (/ 1 1) into 1
1.304 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.304 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.304 * [backup-simplify]: Simplify 2.0 into 2.0
1.304 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.304 * [taylor]: Taking taylor expansion of i in alpha
1.304 * [backup-simplify]: Simplify i into i
1.304 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.304 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.304 * [taylor]: Taking taylor expansion of beta in alpha
1.304 * [backup-simplify]: Simplify beta into beta
1.304 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.304 * [backup-simplify]: Simplify (+ 1 0) into 1
1.305 * [backup-simplify]: Simplify (+ 1 0) into 1
1.305 * [backup-simplify]: Simplify (* 1 1) into 1
1.305 * [backup-simplify]: Simplify (+ 1 0) into 1
1.305 * [backup-simplify]: Simplify (/ 1 1) into 1
1.305 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.305 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.305 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.305 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.305 * [taylor]: Taking taylor expansion of alpha in alpha
1.305 * [backup-simplify]: Simplify 0 into 0
1.305 * [backup-simplify]: Simplify 1 into 1
1.306 * [backup-simplify]: Simplify (/ 1 1) into 1
1.306 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.306 * [taylor]: Taking taylor expansion of beta in alpha
1.306 * [backup-simplify]: Simplify beta into beta
1.306 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.306 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.306 * [taylor]: Taking taylor expansion of alpha in alpha
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify 1 into 1
1.306 * [backup-simplify]: Simplify (/ 1 1) into 1
1.306 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.306 * [taylor]: Taking taylor expansion of beta in alpha
1.306 * [backup-simplify]: Simplify beta into beta
1.306 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.306 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.306 * [taylor]: Taking taylor expansion of alpha in alpha
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify 1 into 1
1.306 * [backup-simplify]: Simplify (/ 1 1) into 1
1.306 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.306 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.306 * [backup-simplify]: Simplify 2.0 into 2.0
1.307 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.307 * [taylor]: Taking taylor expansion of i in alpha
1.307 * [backup-simplify]: Simplify i into i
1.307 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.307 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.307 * [taylor]: Taking taylor expansion of beta in alpha
1.307 * [backup-simplify]: Simplify beta into beta
1.307 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.307 * [backup-simplify]: Simplify (+ 1 0) into 1
1.307 * [backup-simplify]: Simplify (+ 1 0) into 1
1.307 * [backup-simplify]: Simplify (* 1 1) into 1
1.308 * [backup-simplify]: Simplify (+ 1 0) into 1
1.308 * [backup-simplify]: Simplify (/ 1 1) into 1
1.308 * [taylor]: Taking taylor expansion of 1 in beta
1.308 * [backup-simplify]: Simplify 1 into 1
1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.309 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.310 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.310 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
1.310 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.311 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.311 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.311 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.312 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.312 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.312 * [taylor]: Taking taylor expansion of 2.0 in beta
1.312 * [backup-simplify]: Simplify 2.0 into 2.0
1.312 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.312 * [taylor]: Taking taylor expansion of i in beta
1.312 * [backup-simplify]: Simplify i into i
1.312 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.312 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.312 * [taylor]: Taking taylor expansion of beta in beta
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 1 into 1
1.313 * [backup-simplify]: Simplify (/ 1 1) into 1
1.313 * [backup-simplify]: Simplify (+ 0 1) into 1
1.313 * [backup-simplify]: Simplify (- 1) into -1
1.313 * [taylor]: Taking taylor expansion of -1 in i
1.313 * [backup-simplify]: Simplify -1 into -1
1.313 * [backup-simplify]: Simplify 0 into 0
1.313 * [taylor]: Taking taylor expansion of 1 in i
1.313 * [backup-simplify]: Simplify 1 into 1
1.313 * [backup-simplify]: Simplify 0 into 0
1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.315 * [backup-simplify]: Simplify (+ 0 0) into 0
1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.316 * [backup-simplify]: Simplify (- 0) into 0
1.317 * [backup-simplify]: Simplify (+ 0 0) into 0
1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.319 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.320 * [backup-simplify]: Simplify (+ 0 0) into 0
1.321 * [backup-simplify]: Simplify (+ 0 0) into 0
1.322 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) 1) (+ (* 1 (/ 0 1)) (* (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta))))
1.322 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))) in beta
1.322 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in beta
1.322 * [taylor]: Taking taylor expansion of 4.0 in beta
1.322 * [backup-simplify]: Simplify 4.0 into 4.0
1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.322 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.322 * [taylor]: Taking taylor expansion of i in beta
1.322 * [backup-simplify]: Simplify i into i
1.322 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.323 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.323 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* i beta))) in beta
1.323 * [taylor]: Taking taylor expansion of 4.0 in beta
1.323 * [backup-simplify]: Simplify 4.0 into 4.0
1.323 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.323 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.323 * [taylor]: Taking taylor expansion of i in beta
1.323 * [backup-simplify]: Simplify i into i
1.323 * [taylor]: Taking taylor expansion of beta in beta
1.323 * [backup-simplify]: Simplify 0 into 0
1.323 * [backup-simplify]: Simplify 1 into 1
1.323 * [backup-simplify]: Simplify (* i 0) into 0
1.323 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.324 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.324 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.324 * [backup-simplify]: Simplify (+ 0 (/ 4.0 i)) into (* 4.0 (/ 1 i))
1.324 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.324 * [taylor]: Taking taylor expansion of 4.0 in i
1.324 * [backup-simplify]: Simplify 4.0 into 4.0
1.324 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.324 * [taylor]: Taking taylor expansion of i in i
1.324 * [backup-simplify]: Simplify 0 into 0
1.324 * [backup-simplify]: Simplify 1 into 1
1.324 * [backup-simplify]: Simplify (/ 1 1) into 1
1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.327 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.327 * [backup-simplify]: Simplify 0 into 0
1.327 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.328 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
1.328 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
1.328 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
1.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.328 * [taylor]: Taking taylor expansion of 2.0 in i
1.328 * [backup-simplify]: Simplify 2.0 into 2.0
1.328 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.328 * [taylor]: Taking taylor expansion of i in i
1.328 * [backup-simplify]: Simplify 0 into 0
1.328 * [backup-simplify]: Simplify 1 into 1
1.329 * [backup-simplify]: Simplify (/ 1 1) into 1
1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.331 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
1.332 * [backup-simplify]: Simplify (- 0) into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [taylor]: Taking taylor expansion of 0 in i
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * [backup-simplify]: Simplify 0 into 0
1.332 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
1.333 * [backup-simplify]: Simplify (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
1.333 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
1.333 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
1.333 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
1.333 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
1.333 * [taylor]: Taking taylor expansion of (pow beta 2) in i
1.333 * [taylor]: Taking taylor expansion of beta in i
1.333 * [backup-simplify]: Simplify beta into beta
1.334 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
1.334 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.334 * [taylor]: Taking taylor expansion of alpha in i
1.334 * [backup-simplify]: Simplify alpha into alpha
1.334 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.334 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.334 * [taylor]: Taking taylor expansion of 2.0 in i
1.334 * [backup-simplify]: Simplify 2.0 into 2.0
1.334 * [taylor]: Taking taylor expansion of i in i
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 1 into 1
1.334 * [taylor]: Taking taylor expansion of beta in i
1.334 * [backup-simplify]: Simplify beta into beta
1.334 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
1.334 * [taylor]: Taking taylor expansion of alpha in i
1.334 * [backup-simplify]: Simplify alpha into alpha
1.334 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
1.334 * [taylor]: Taking taylor expansion of 2.0 in i
1.334 * [backup-simplify]: Simplify 2.0 into 2.0
1.334 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.334 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.334 * [taylor]: Taking taylor expansion of 2.0 in i
1.334 * [backup-simplify]: Simplify 2.0 into 2.0
1.334 * [taylor]: Taking taylor expansion of i in i
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 1 into 1
1.334 * [taylor]: Taking taylor expansion of beta in i
1.334 * [backup-simplify]: Simplify beta into beta
1.334 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.335 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.335 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.335 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.335 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.336 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.336 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
1.336 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
1.336 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
1.336 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
1.336 * [taylor]: Taking taylor expansion of 1.0 in i
1.336 * [backup-simplify]: Simplify 1.0 into 1.0
1.336 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
1.336 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
1.336 * [taylor]: Taking taylor expansion of alpha in i
1.336 * [backup-simplify]: Simplify alpha into alpha
1.336 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
1.336 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.336 * [taylor]: Taking taylor expansion of alpha in i
1.336 * [backup-simplify]: Simplify alpha into alpha
1.336 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.337 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.337 * [taylor]: Taking taylor expansion of 2.0 in i
1.337 * [backup-simplify]: Simplify 2.0 into 2.0
1.337 * [taylor]: Taking taylor expansion of i in i
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [taylor]: Taking taylor expansion of beta in i
1.337 * [backup-simplify]: Simplify beta into beta
1.337 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
1.337 * [taylor]: Taking taylor expansion of alpha in i
1.337 * [backup-simplify]: Simplify alpha into alpha
1.337 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
1.337 * [taylor]: Taking taylor expansion of 2.0 in i
1.337 * [backup-simplify]: Simplify 2.0 into 2.0
1.337 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.337 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.337 * [taylor]: Taking taylor expansion of 2.0 in i
1.337 * [backup-simplify]: Simplify 2.0 into 2.0
1.337 * [taylor]: Taking taylor expansion of i in i
1.337 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify 1 into 1
1.337 * [taylor]: Taking taylor expansion of beta in i
1.337 * [backup-simplify]: Simplify beta into beta
1.337 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.338 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.338 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.338 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.338 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.338 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.338 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
1.338 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
1.339 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
1.339 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
1.339 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
1.339 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
1.339 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
1.339 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.339 * [taylor]: Taking taylor expansion of beta in beta
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
1.339 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.339 * [taylor]: Taking taylor expansion of alpha in beta
1.339 * [backup-simplify]: Simplify alpha into alpha
1.339 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.339 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.339 * [taylor]: Taking taylor expansion of 2.0 in beta
1.339 * [backup-simplify]: Simplify 2.0 into 2.0
1.339 * [taylor]: Taking taylor expansion of i in beta
1.339 * [backup-simplify]: Simplify i into i
1.339 * [taylor]: Taking taylor expansion of beta in beta
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.340 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
1.340 * [taylor]: Taking taylor expansion of alpha in beta
1.340 * [backup-simplify]: Simplify alpha into alpha
1.340 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
1.340 * [taylor]: Taking taylor expansion of 2.0 in beta
1.340 * [backup-simplify]: Simplify 2.0 into 2.0
1.340 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.340 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.340 * [taylor]: Taking taylor expansion of 2.0 in beta
1.340 * [backup-simplify]: Simplify 2.0 into 2.0
1.340 * [taylor]: Taking taylor expansion of i in beta
1.340 * [backup-simplify]: Simplify i into i
1.340 * [taylor]: Taking taylor expansion of beta in beta
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (* 1 1) into 1
1.340 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.341 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.341 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.341 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.341 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.341 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
1.341 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
1.341 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
1.341 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
1.342 * [taylor]: Taking taylor expansion of 1.0 in beta
1.342 * [backup-simplify]: Simplify 1.0 into 1.0
1.342 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
1.342 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
1.342 * [taylor]: Taking taylor expansion of alpha in beta
1.342 * [backup-simplify]: Simplify alpha into alpha
1.342 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
1.342 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.342 * [taylor]: Taking taylor expansion of alpha in beta
1.342 * [backup-simplify]: Simplify alpha into alpha
1.342 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.342 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.342 * [taylor]: Taking taylor expansion of 2.0 in beta
1.342 * [backup-simplify]: Simplify 2.0 into 2.0
1.342 * [taylor]: Taking taylor expansion of i in beta
1.342 * [backup-simplify]: Simplify i into i
1.342 * [taylor]: Taking taylor expansion of beta in beta
1.342 * [backup-simplify]: Simplify 0 into 0
1.342 * [backup-simplify]: Simplify 1 into 1
1.342 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
1.342 * [taylor]: Taking taylor expansion of alpha in beta
1.342 * [backup-simplify]: Simplify alpha into alpha
1.342 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
1.342 * [taylor]: Taking taylor expansion of 2.0 in beta
1.342 * [backup-simplify]: Simplify 2.0 into 2.0
1.342 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.342 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.342 * [taylor]: Taking taylor expansion of 2.0 in beta
1.342 * [backup-simplify]: Simplify 2.0 into 2.0
1.342 * [taylor]: Taking taylor expansion of i in beta
1.342 * [backup-simplify]: Simplify i into i
1.342 * [taylor]: Taking taylor expansion of beta in beta
1.343 * [backup-simplify]: Simplify 0 into 0
1.343 * [backup-simplify]: Simplify 1 into 1
1.343 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.343 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.343 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.343 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.343 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.343 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.343 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
1.343 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
1.343 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
1.344 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
1.344 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
1.344 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
1.344 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.344 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.344 * [taylor]: Taking taylor expansion of beta in alpha
1.344 * [backup-simplify]: Simplify beta into beta
1.344 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.344 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.344 * [taylor]: Taking taylor expansion of alpha in alpha
1.344 * [backup-simplify]: Simplify 0 into 0
1.344 * [backup-simplify]: Simplify 1 into 1
1.344 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.344 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.344 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.344 * [backup-simplify]: Simplify 2.0 into 2.0
1.344 * [taylor]: Taking taylor expansion of i in alpha
1.344 * [backup-simplify]: Simplify i into i
1.344 * [taylor]: Taking taylor expansion of beta in alpha
1.344 * [backup-simplify]: Simplify beta into beta
1.344 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.345 * [taylor]: Taking taylor expansion of alpha in alpha
1.345 * [backup-simplify]: Simplify 0 into 0
1.345 * [backup-simplify]: Simplify 1 into 1
1.345 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.345 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.345 * [backup-simplify]: Simplify 2.0 into 2.0
1.345 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.345 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.345 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.345 * [backup-simplify]: Simplify 2.0 into 2.0
1.345 * [taylor]: Taking taylor expansion of i in alpha
1.345 * [backup-simplify]: Simplify i into i
1.345 * [taylor]: Taking taylor expansion of beta in alpha
1.345 * [backup-simplify]: Simplify beta into beta
1.345 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.345 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.345 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.345 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.345 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.345 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.345 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.346 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.346 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.346 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
1.346 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.346 * [backup-simplify]: Simplify 1.0 into 1.0
1.346 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.346 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.346 * [taylor]: Taking taylor expansion of alpha in alpha
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 1 into 1
1.346 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.346 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.347 * [taylor]: Taking taylor expansion of alpha in alpha
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 1 into 1
1.347 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.347 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.347 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.347 * [backup-simplify]: Simplify 2.0 into 2.0
1.347 * [taylor]: Taking taylor expansion of i in alpha
1.347 * [backup-simplify]: Simplify i into i
1.347 * [taylor]: Taking taylor expansion of beta in alpha
1.347 * [backup-simplify]: Simplify beta into beta
1.347 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.347 * [taylor]: Taking taylor expansion of alpha in alpha
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 1 into 1
1.347 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.347 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.347 * [backup-simplify]: Simplify 2.0 into 2.0
1.347 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.347 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.347 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.347 * [backup-simplify]: Simplify 2.0 into 2.0
1.347 * [taylor]: Taking taylor expansion of i in alpha
1.347 * [backup-simplify]: Simplify i into i
1.347 * [taylor]: Taking taylor expansion of beta in alpha
1.347 * [backup-simplify]: Simplify beta into beta
1.348 * [backup-simplify]: Simplify (* 1 1) into 1
1.348 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.348 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.348 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.348 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.348 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.348 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.349 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.349 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.349 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
1.349 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
1.349 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
1.349 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.349 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.349 * [taylor]: Taking taylor expansion of beta in alpha
1.349 * [backup-simplify]: Simplify beta into beta
1.349 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.349 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.349 * [taylor]: Taking taylor expansion of alpha in alpha
1.349 * [backup-simplify]: Simplify 0 into 0
1.349 * [backup-simplify]: Simplify 1 into 1
1.349 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.349 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.349 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.350 * [backup-simplify]: Simplify 2.0 into 2.0
1.350 * [taylor]: Taking taylor expansion of i in alpha
1.350 * [backup-simplify]: Simplify i into i
1.350 * [taylor]: Taking taylor expansion of beta in alpha
1.350 * [backup-simplify]: Simplify beta into beta
1.350 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.350 * [taylor]: Taking taylor expansion of alpha in alpha
1.350 * [backup-simplify]: Simplify 0 into 0
1.350 * [backup-simplify]: Simplify 1 into 1
1.350 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.350 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.350 * [backup-simplify]: Simplify 2.0 into 2.0
1.350 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.350 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.350 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.350 * [backup-simplify]: Simplify 2.0 into 2.0
1.350 * [taylor]: Taking taylor expansion of i in alpha
1.350 * [backup-simplify]: Simplify i into i
1.350 * [taylor]: Taking taylor expansion of beta in alpha
1.350 * [backup-simplify]: Simplify beta into beta
1.350 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.350 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.350 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.350 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.350 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.350 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.351 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.351 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.351 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.351 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
1.351 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.351 * [backup-simplify]: Simplify 1.0 into 1.0
1.351 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.351 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.351 * [taylor]: Taking taylor expansion of alpha in alpha
1.351 * [backup-simplify]: Simplify 0 into 0
1.351 * [backup-simplify]: Simplify 1 into 1
1.351 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.351 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.352 * [taylor]: Taking taylor expansion of alpha in alpha
1.352 * [backup-simplify]: Simplify 0 into 0
1.352 * [backup-simplify]: Simplify 1 into 1
1.352 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.352 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.352 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.352 * [backup-simplify]: Simplify 2.0 into 2.0
1.352 * [taylor]: Taking taylor expansion of i in alpha
1.352 * [backup-simplify]: Simplify i into i
1.352 * [taylor]: Taking taylor expansion of beta in alpha
1.352 * [backup-simplify]: Simplify beta into beta
1.352 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.352 * [taylor]: Taking taylor expansion of alpha in alpha
1.352 * [backup-simplify]: Simplify 0 into 0
1.352 * [backup-simplify]: Simplify 1 into 1
1.352 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.352 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.352 * [backup-simplify]: Simplify 2.0 into 2.0
1.352 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.352 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.352 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.352 * [backup-simplify]: Simplify 2.0 into 2.0
1.352 * [taylor]: Taking taylor expansion of i in alpha
1.352 * [backup-simplify]: Simplify i into i
1.352 * [taylor]: Taking taylor expansion of beta in alpha
1.353 * [backup-simplify]: Simplify beta into beta
1.353 * [backup-simplify]: Simplify (* 1 1) into 1
1.353 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.353 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.353 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.353 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.354 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.354 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.354 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.354 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.354 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
1.355 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
1.355 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
1.355 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
1.355 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.355 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.355 * [taylor]: Taking taylor expansion of beta in beta
1.355 * [backup-simplify]: Simplify 0 into 0
1.355 * [backup-simplify]: Simplify 1 into 1
1.355 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.355 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.356 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.356 * [taylor]: Taking taylor expansion of 2.0 in beta
1.356 * [backup-simplify]: Simplify 2.0 into 2.0
1.356 * [taylor]: Taking taylor expansion of i in beta
1.356 * [backup-simplify]: Simplify i into i
1.356 * [taylor]: Taking taylor expansion of beta in beta
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.356 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.356 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.356 * [taylor]: Taking taylor expansion of 2.0 in beta
1.356 * [backup-simplify]: Simplify 2.0 into 2.0
1.356 * [taylor]: Taking taylor expansion of i in beta
1.356 * [backup-simplify]: Simplify i into i
1.356 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.356 * [taylor]: Taking taylor expansion of beta in beta
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.356 * [taylor]: Taking taylor expansion of 2.0 in beta
1.356 * [backup-simplify]: Simplify 2.0 into 2.0
1.357 * [backup-simplify]: Simplify (* 1 1) into 1
1.357 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.357 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.357 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.357 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.357 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.357 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.358 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.358 * [taylor]: Taking taylor expansion of 1.0 in beta
1.358 * [backup-simplify]: Simplify 1.0 into 1.0
1.358 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.358 * [taylor]: Taking taylor expansion of 1.0 in i
1.358 * [backup-simplify]: Simplify 1.0 into 1.0
1.358 * [backup-simplify]: Simplify 1.0 into 1.0
1.358 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
1.359 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.359 * [backup-simplify]: Simplify (+ 0 0) into 0
1.360 * [backup-simplify]: Simplify (+ 1 0) into 1
1.360 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.361 * [backup-simplify]: Simplify (+ 0 0) into 0
1.361 * [backup-simplify]: Simplify (+ 1 0) into 1
1.361 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
1.363 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
1.366 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
1.370 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
1.370 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
1.370 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
1.370 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.370 * [taylor]: Taking taylor expansion of 4.0 in beta
1.370 * [backup-simplify]: Simplify 4.0 into 4.0
1.370 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.370 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.370 * [taylor]: Taking taylor expansion of i in beta
1.370 * [backup-simplify]: Simplify i into i
1.370 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.370 * [taylor]: Taking taylor expansion of beta in beta
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 1 into 1
1.370 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.370 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.370 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.370 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.370 * [taylor]: Taking taylor expansion of 2.0 in beta
1.370 * [backup-simplify]: Simplify 2.0 into 2.0
1.370 * [taylor]: Taking taylor expansion of i in beta
1.370 * [backup-simplify]: Simplify i into i
1.370 * [taylor]: Taking taylor expansion of beta in beta
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 1 into 1
1.370 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.371 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.371 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.371 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.371 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.371 * [taylor]: Taking taylor expansion of 2.0 in beta
1.371 * [backup-simplify]: Simplify 2.0 into 2.0
1.371 * [taylor]: Taking taylor expansion of i in beta
1.371 * [backup-simplify]: Simplify i into i
1.371 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.371 * [taylor]: Taking taylor expansion of beta in beta
1.371 * [backup-simplify]: Simplify 0 into 0
1.371 * [backup-simplify]: Simplify 1 into 1
1.371 * [taylor]: Taking taylor expansion of 2.0 in beta
1.371 * [backup-simplify]: Simplify 2.0 into 2.0
1.371 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.372 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.372 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.372 * [backup-simplify]: Simplify (* 1 1) into 1
1.372 * [backup-simplify]: Simplify (* i 1) into i
1.372 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.372 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.372 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.373 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
1.373 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
1.373 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.373 * [taylor]: Taking taylor expansion of 2 in beta
1.373 * [backup-simplify]: Simplify 2 into 2
1.373 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.373 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.373 * [taylor]: Taking taylor expansion of beta in beta
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.373 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.373 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.373 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.373 * [taylor]: Taking taylor expansion of 2.0 in beta
1.373 * [backup-simplify]: Simplify 2.0 into 2.0
1.373 * [taylor]: Taking taylor expansion of i in beta
1.373 * [backup-simplify]: Simplify i into i
1.373 * [taylor]: Taking taylor expansion of beta in beta
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.373 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.373 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.373 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.373 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.373 * [taylor]: Taking taylor expansion of 2.0 in beta
1.373 * [backup-simplify]: Simplify 2.0 into 2.0
1.373 * [taylor]: Taking taylor expansion of i in beta
1.373 * [backup-simplify]: Simplify i into i
1.373 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.373 * [taylor]: Taking taylor expansion of beta in beta
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of 2.0 in beta
1.373 * [backup-simplify]: Simplify 2.0 into 2.0
1.373 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.374 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.374 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.374 * [backup-simplify]: Simplify (* 1 1) into 1
1.374 * [backup-simplify]: Simplify (* 1 1) into 1
1.374 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.374 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.375 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.375 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.375 * [taylor]: Taking taylor expansion of 2.0 in beta
1.375 * [backup-simplify]: Simplify 2.0 into 2.0
1.375 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.375 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.375 * [taylor]: Taking taylor expansion of beta in beta
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.375 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.375 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.375 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.375 * [taylor]: Taking taylor expansion of 2.0 in beta
1.375 * [backup-simplify]: Simplify 2.0 into 2.0
1.375 * [taylor]: Taking taylor expansion of i in beta
1.375 * [backup-simplify]: Simplify i into i
1.375 * [taylor]: Taking taylor expansion of beta in beta
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.375 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.375 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.375 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.375 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.375 * [taylor]: Taking taylor expansion of 2.0 in beta
1.375 * [backup-simplify]: Simplify 2.0 into 2.0
1.375 * [taylor]: Taking taylor expansion of i in beta
1.375 * [backup-simplify]: Simplify i into i
1.375 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.375 * [taylor]: Taking taylor expansion of beta in beta
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [backup-simplify]: Simplify 1 into 1
1.376 * [taylor]: Taking taylor expansion of 2.0 in beta
1.376 * [backup-simplify]: Simplify 2.0 into 2.0
1.376 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.376 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.376 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.376 * [backup-simplify]: Simplify (* 1 1) into 1
1.376 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.376 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.377 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.377 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.377 * [backup-simplify]: Simplify (+ 0 0) into 0
1.377 * [taylor]: Taking taylor expansion of 0 in i
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
1.378 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.378 * [backup-simplify]: Simplify (+ 0 0) into 0
1.378 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1.380 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
1.383 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
1.388 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
1.388 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
1.393 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
1.393 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
1.393 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
1.393 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.394 * [taylor]: Taking taylor expansion of 16.0 in beta
1.394 * [backup-simplify]: Simplify 16.0 into 16.0
1.394 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.394 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
1.394 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.394 * [taylor]: Taking taylor expansion of i in beta
1.394 * [backup-simplify]: Simplify i into i
1.394 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.394 * [taylor]: Taking taylor expansion of beta in beta
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 1 into 1
1.394 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.394 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.394 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.394 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.394 * [taylor]: Taking taylor expansion of 2.0 in beta
1.394 * [backup-simplify]: Simplify 2.0 into 2.0
1.394 * [taylor]: Taking taylor expansion of i in beta
1.394 * [backup-simplify]: Simplify i into i
1.394 * [taylor]: Taking taylor expansion of beta in beta
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 1 into 1
1.394 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.394 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.394 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.394 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.394 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.394 * [taylor]: Taking taylor expansion of 2.0 in beta
1.394 * [backup-simplify]: Simplify 2.0 into 2.0
1.394 * [taylor]: Taking taylor expansion of i in beta
1.394 * [backup-simplify]: Simplify i into i
1.394 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.394 * [taylor]: Taking taylor expansion of beta in beta
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify 1 into 1
1.394 * [taylor]: Taking taylor expansion of 2.0 in beta
1.394 * [backup-simplify]: Simplify 2.0 into 2.0
1.394 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.395 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.395 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.395 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.395 * [backup-simplify]: Simplify (* 1 1) into 1
1.395 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.395 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.395 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.395 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.395 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.396 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.396 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
1.396 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
1.396 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.396 * [taylor]: Taking taylor expansion of 4 in beta
1.396 * [backup-simplify]: Simplify 4 into 4
1.396 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.396 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.396 * [taylor]: Taking taylor expansion of beta in beta
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify 1 into 1
1.396 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.396 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.396 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.396 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.396 * [taylor]: Taking taylor expansion of 2.0 in beta
1.396 * [backup-simplify]: Simplify 2.0 into 2.0
1.396 * [taylor]: Taking taylor expansion of i in beta
1.396 * [backup-simplify]: Simplify i into i
1.396 * [taylor]: Taking taylor expansion of beta in beta
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify 1 into 1
1.396 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.396 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.396 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.396 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.396 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.397 * [taylor]: Taking taylor expansion of 2.0 in beta
1.397 * [backup-simplify]: Simplify 2.0 into 2.0
1.397 * [taylor]: Taking taylor expansion of i in beta
1.397 * [backup-simplify]: Simplify i into i
1.397 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.397 * [taylor]: Taking taylor expansion of beta in beta
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 1 into 1
1.397 * [taylor]: Taking taylor expansion of 2.0 in beta
1.397 * [backup-simplify]: Simplify 2.0 into 2.0
1.397 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.397 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.397 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.397 * [backup-simplify]: Simplify (* 1 1) into 1
1.398 * [backup-simplify]: Simplify (* 1 1) into 1
1.398 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.398 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.398 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.398 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.398 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.398 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.398 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
1.398 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.398 * [taylor]: Taking taylor expansion of 8.0 in beta
1.398 * [backup-simplify]: Simplify 8.0 into 8.0
1.398 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.399 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.399 * [taylor]: Taking taylor expansion of beta in beta
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify 1 into 1
1.399 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.399 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.399 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.399 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.399 * [taylor]: Taking taylor expansion of 2.0 in beta
1.399 * [backup-simplify]: Simplify 2.0 into 2.0
1.399 * [taylor]: Taking taylor expansion of i in beta
1.399 * [backup-simplify]: Simplify i into i
1.399 * [taylor]: Taking taylor expansion of beta in beta
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify 1 into 1
1.399 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.399 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.399 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.399 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.399 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.399 * [taylor]: Taking taylor expansion of 2.0 in beta
1.399 * [backup-simplify]: Simplify 2.0 into 2.0
1.399 * [taylor]: Taking taylor expansion of i in beta
1.399 * [backup-simplify]: Simplify i into i
1.399 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.399 * [taylor]: Taking taylor expansion of beta in beta
1.399 * [backup-simplify]: Simplify 0 into 0
1.399 * [backup-simplify]: Simplify 1 into 1
1.399 * [taylor]: Taking taylor expansion of 2.0 in beta
1.399 * [backup-simplify]: Simplify 2.0 into 2.0
1.399 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.399 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.399 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.400 * [backup-simplify]: Simplify (* 1 1) into 1
1.400 * [backup-simplify]: Simplify (* 1 1) into 1
1.400 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.400 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.400 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.400 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.401 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.401 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.401 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
1.401 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.401 * [taylor]: Taking taylor expansion of 16.0 in beta
1.401 * [backup-simplify]: Simplify 16.0 into 16.0
1.401 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.401 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
1.401 * [taylor]: Taking taylor expansion of i in beta
1.402 * [backup-simplify]: Simplify i into i
1.402 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.402 * [taylor]: Taking taylor expansion of beta in beta
1.402 * [backup-simplify]: Simplify 0 into 0
1.402 * [backup-simplify]: Simplify 1 into 1
1.402 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.402 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.402 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.402 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.402 * [taylor]: Taking taylor expansion of 2.0 in beta
1.402 * [backup-simplify]: Simplify 2.0 into 2.0
1.402 * [taylor]: Taking taylor expansion of i in beta
1.402 * [backup-simplify]: Simplify i into i
1.402 * [taylor]: Taking taylor expansion of beta in beta
1.402 * [backup-simplify]: Simplify 0 into 0
1.402 * [backup-simplify]: Simplify 1 into 1
1.402 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.402 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.402 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.402 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.403 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.403 * [taylor]: Taking taylor expansion of 2.0 in beta
1.403 * [backup-simplify]: Simplify 2.0 into 2.0
1.403 * [taylor]: Taking taylor expansion of i in beta
1.403 * [backup-simplify]: Simplify i into i
1.403 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.403 * [taylor]: Taking taylor expansion of beta in beta
1.403 * [backup-simplify]: Simplify 0 into 0
1.403 * [backup-simplify]: Simplify 1 into 1
1.403 * [taylor]: Taking taylor expansion of 2.0 in beta
1.403 * [backup-simplify]: Simplify 2.0 into 2.0
1.403 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.403 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.404 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.404 * [backup-simplify]: Simplify (* 1 1) into 1
1.404 * [backup-simplify]: Simplify (* 1 1) into 1
1.404 * [backup-simplify]: Simplify (* i 1) into i
1.404 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.405 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.405 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.405 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.406 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.406 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
1.406 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
1.406 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.406 * [taylor]: Taking taylor expansion of 16.0 in beta
1.406 * [backup-simplify]: Simplify 16.0 into 16.0
1.406 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.406 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.406 * [taylor]: Taking taylor expansion of i in beta
1.406 * [backup-simplify]: Simplify i into i
1.406 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.406 * [taylor]: Taking taylor expansion of beta in beta
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 1 into 1
1.406 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.407 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.407 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.407 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.407 * [taylor]: Taking taylor expansion of 2.0 in beta
1.407 * [backup-simplify]: Simplify 2.0 into 2.0
1.407 * [taylor]: Taking taylor expansion of i in beta
1.407 * [backup-simplify]: Simplify i into i
1.407 * [taylor]: Taking taylor expansion of beta in beta
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 1 into 1
1.407 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.407 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.407 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.407 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.407 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.407 * [taylor]: Taking taylor expansion of 2.0 in beta
1.407 * [backup-simplify]: Simplify 2.0 into 2.0
1.407 * [taylor]: Taking taylor expansion of i in beta
1.407 * [backup-simplify]: Simplify i into i
1.407 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.407 * [taylor]: Taking taylor expansion of beta in beta
1.407 * [backup-simplify]: Simplify 0 into 0
1.407 * [backup-simplify]: Simplify 1 into 1
1.407 * [taylor]: Taking taylor expansion of 2.0 in beta
1.407 * [backup-simplify]: Simplify 2.0 into 2.0
1.407 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.408 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.408 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.408 * [backup-simplify]: Simplify (* 1 1) into 1
1.409 * [backup-simplify]: Simplify (* i 1) into i
1.409 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.409 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.409 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.409 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.410 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.410 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
1.410 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.410 * [taylor]: Taking taylor expansion of 4.0 in beta
1.410 * [backup-simplify]: Simplify 4.0 into 4.0
1.410 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.410 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.410 * [taylor]: Taking taylor expansion of beta in beta
1.410 * [backup-simplify]: Simplify 0 into 0
1.410 * [backup-simplify]: Simplify 1 into 1
1.410 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.410 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.410 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.410 * [taylor]: Taking taylor expansion of 2.0 in beta
1.410 * [backup-simplify]: Simplify 2.0 into 2.0
1.411 * [taylor]: Taking taylor expansion of i in beta
1.411 * [backup-simplify]: Simplify i into i
1.411 * [taylor]: Taking taylor expansion of beta in beta
1.411 * [backup-simplify]: Simplify 0 into 0
1.411 * [backup-simplify]: Simplify 1 into 1
1.411 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.411 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.411 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.411 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.411 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.411 * [taylor]: Taking taylor expansion of 2.0 in beta
1.411 * [backup-simplify]: Simplify 2.0 into 2.0
1.411 * [taylor]: Taking taylor expansion of i in beta
1.411 * [backup-simplify]: Simplify i into i
1.411 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.411 * [taylor]: Taking taylor expansion of beta in beta
1.411 * [backup-simplify]: Simplify 0 into 0
1.411 * [backup-simplify]: Simplify 1 into 1
1.411 * [taylor]: Taking taylor expansion of 2.0 in beta
1.411 * [backup-simplify]: Simplify 2.0 into 2.0
1.411 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.412 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.412 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.412 * [backup-simplify]: Simplify (* 1 1) into 1
1.412 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.413 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.413 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.413 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.413 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.414 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.414 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.414 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.414 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.414 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.414 * [taylor]: Taking taylor expansion of 2.0 in beta
1.414 * [backup-simplify]: Simplify 2.0 into 2.0
1.414 * [taylor]: Taking taylor expansion of i in beta
1.414 * [backup-simplify]: Simplify i into i
1.414 * [taylor]: Taking taylor expansion of beta in beta
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 1 into 1
1.414 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.414 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.414 * [taylor]: Taking taylor expansion of 2.0 in beta
1.414 * [backup-simplify]: Simplify 2.0 into 2.0
1.414 * [taylor]: Taking taylor expansion of i in beta
1.414 * [backup-simplify]: Simplify i into i
1.414 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.414 * [taylor]: Taking taylor expansion of beta in beta
1.415 * [backup-simplify]: Simplify 0 into 0
1.415 * [backup-simplify]: Simplify 1 into 1
1.415 * [taylor]: Taking taylor expansion of 2.0 in beta
1.415 * [backup-simplify]: Simplify 2.0 into 2.0
1.415 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.415 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.415 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.415 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.415 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.416 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.416 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.416 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.416 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.416 * [taylor]: Taking taylor expansion of beta in beta
1.416 * [backup-simplify]: Simplify 0 into 0
1.416 * [backup-simplify]: Simplify 1 into 1
1.416 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.416 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.416 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.416 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.416 * [taylor]: Taking taylor expansion of 2.0 in beta
1.416 * [backup-simplify]: Simplify 2.0 into 2.0
1.416 * [taylor]: Taking taylor expansion of i in beta
1.416 * [backup-simplify]: Simplify i into i
1.416 * [taylor]: Taking taylor expansion of beta in beta
1.416 * [backup-simplify]: Simplify 0 into 0
1.416 * [backup-simplify]: Simplify 1 into 1
1.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.416 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.417 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.417 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.417 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.417 * [taylor]: Taking taylor expansion of 2.0 in beta
1.417 * [backup-simplify]: Simplify 2.0 into 2.0
1.417 * [taylor]: Taking taylor expansion of i in beta
1.417 * [backup-simplify]: Simplify i into i
1.417 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.417 * [taylor]: Taking taylor expansion of beta in beta
1.417 * [backup-simplify]: Simplify 0 into 0
1.417 * [backup-simplify]: Simplify 1 into 1
1.417 * [taylor]: Taking taylor expansion of 2.0 in beta
1.417 * [backup-simplify]: Simplify 2.0 into 2.0
1.417 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.417 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.418 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.418 * [backup-simplify]: Simplify (* 1 1) into 1
1.418 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.418 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.419 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.419 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.419 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
1.419 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.420 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.420 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
1.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
1.420 * [taylor]: Taking taylor expansion of 0.5 in i
1.420 * [backup-simplify]: Simplify 0.5 into 0.5
1.420 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
1.420 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.420 * [taylor]: Taking taylor expansion of i in i
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.420 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.420 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.420 * [taylor]: Taking taylor expansion of 2.0 in i
1.420 * [backup-simplify]: Simplify 2.0 into 2.0
1.420 * [taylor]: Taking taylor expansion of i in i
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.420 * [taylor]: Taking taylor expansion of 2.0 in i
1.420 * [backup-simplify]: Simplify 2.0 into 2.0
1.421 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.421 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.421 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.423 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.423 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.425 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.425 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
1.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.427 * [backup-simplify]: Simplify (+ 0 0) into 0
1.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.435 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
1.436 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
1.437 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
1.437 * [backup-simplify]: Simplify 0.25 into 0.25
1.437 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
1.437 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
1.437 * [taylor]: Taking taylor expansion of 0.5 in i
1.437 * [backup-simplify]: Simplify 0.5 into 0.5
1.437 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
1.437 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.437 * [taylor]: Taking taylor expansion of i in i
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 1 into 1
1.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.437 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.437 * [taylor]: Taking taylor expansion of 2.0 in i
1.437 * [backup-simplify]: Simplify 2.0 into 2.0
1.437 * [taylor]: Taking taylor expansion of i in i
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 1 into 1
1.437 * [taylor]: Taking taylor expansion of 2.0 in i
1.437 * [backup-simplify]: Simplify 2.0 into 2.0
1.438 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.438 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.438 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.439 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.439 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.440 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.440 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
1.441 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.441 * [backup-simplify]: Simplify (+ 0 0) into 0
1.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.444 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
1.445 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
1.445 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
1.446 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
1.447 * [backup-simplify]: Simplify (+ (/ (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
1.447 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
1.447 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
1.447 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
1.447 * [taylor]: Taking taylor expansion of 1.0 in i
1.447 * [backup-simplify]: Simplify 1.0 into 1.0
1.447 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
1.447 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
1.447 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.447 * [taylor]: Taking taylor expansion of alpha in i
1.447 * [backup-simplify]: Simplify alpha into alpha
1.447 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
1.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.447 * [taylor]: Taking taylor expansion of 2.0 in i
1.447 * [backup-simplify]: Simplify 2.0 into 2.0
1.447 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.447 * [taylor]: Taking taylor expansion of i in i
1.447 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.448 * [backup-simplify]: Simplify (/ 1 1) into 1
1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
1.448 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.448 * [taylor]: Taking taylor expansion of beta in i
1.448 * [backup-simplify]: Simplify beta into beta
1.448 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.448 * [taylor]: Taking taylor expansion of 2.0 in i
1.448 * [backup-simplify]: Simplify 2.0 into 2.0
1.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.448 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.448 * [taylor]: Taking taylor expansion of alpha in i
1.448 * [backup-simplify]: Simplify alpha into alpha
1.448 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.448 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.448 * [taylor]: Taking taylor expansion of 2.0 in i
1.448 * [backup-simplify]: Simplify 2.0 into 2.0
1.448 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.448 * [taylor]: Taking taylor expansion of i in i
1.448 * [backup-simplify]: Simplify 0 into 0
1.448 * [backup-simplify]: Simplify 1 into 1
1.449 * [backup-simplify]: Simplify (/ 1 1) into 1
1.449 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.449 * [taylor]: Taking taylor expansion of beta in i
1.449 * [backup-simplify]: Simplify beta into beta
1.449 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.449 * [taylor]: Taking taylor expansion of (pow beta 2) in i
1.449 * [taylor]: Taking taylor expansion of beta in i
1.449 * [backup-simplify]: Simplify beta into beta
1.449 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.450 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.450 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.451 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.451 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.452 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.452 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.452 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
1.452 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
1.452 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
1.452 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
1.452 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
1.452 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
1.452 * [taylor]: Taking taylor expansion of alpha in i
1.452 * [backup-simplify]: Simplify alpha into alpha
1.452 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.453 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.453 * [taylor]: Taking taylor expansion of alpha in i
1.453 * [backup-simplify]: Simplify alpha into alpha
1.453 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.453 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.453 * [taylor]: Taking taylor expansion of 2.0 in i
1.453 * [backup-simplify]: Simplify 2.0 into 2.0
1.453 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.453 * [taylor]: Taking taylor expansion of i in i
1.453 * [backup-simplify]: Simplify 0 into 0
1.453 * [backup-simplify]: Simplify 1 into 1
1.454 * [backup-simplify]: Simplify (/ 1 1) into 1
1.454 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.454 * [taylor]: Taking taylor expansion of beta in i
1.454 * [backup-simplify]: Simplify beta into beta
1.454 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
1.454 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.454 * [taylor]: Taking taylor expansion of alpha in i
1.454 * [backup-simplify]: Simplify alpha into alpha
1.454 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.454 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
1.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.454 * [taylor]: Taking taylor expansion of 2.0 in i
1.454 * [backup-simplify]: Simplify 2.0 into 2.0
1.454 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.454 * [taylor]: Taking taylor expansion of i in i
1.454 * [backup-simplify]: Simplify 0 into 0
1.454 * [backup-simplify]: Simplify 1 into 1
1.455 * [backup-simplify]: Simplify (/ 1 1) into 1
1.455 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
1.455 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.455 * [taylor]: Taking taylor expansion of beta in i
1.455 * [backup-simplify]: Simplify beta into beta
1.455 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.455 * [taylor]: Taking taylor expansion of 2.0 in i
1.455 * [backup-simplify]: Simplify 2.0 into 2.0
1.455 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.455 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.456 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.456 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.457 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.457 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.457 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.458 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.458 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
1.458 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
1.458 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
1.458 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
1.458 * [taylor]: Taking taylor expansion of 1.0 in beta
1.458 * [backup-simplify]: Simplify 1.0 into 1.0
1.458 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
1.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
1.458 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.459 * [taylor]: Taking taylor expansion of alpha in beta
1.459 * [backup-simplify]: Simplify alpha into alpha
1.459 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.459 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
1.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.459 * [taylor]: Taking taylor expansion of 2.0 in beta
1.459 * [backup-simplify]: Simplify 2.0 into 2.0
1.459 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.459 * [taylor]: Taking taylor expansion of i in beta
1.459 * [backup-simplify]: Simplify i into i
1.459 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
1.459 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.459 * [taylor]: Taking taylor expansion of beta in beta
1.459 * [backup-simplify]: Simplify 0 into 0
1.459 * [backup-simplify]: Simplify 1 into 1
1.459 * [backup-simplify]: Simplify (/ 1 1) into 1
1.459 * [taylor]: Taking taylor expansion of 2.0 in beta
1.459 * [backup-simplify]: Simplify 2.0 into 2.0
1.459 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.460 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.460 * [taylor]: Taking taylor expansion of alpha in beta
1.460 * [backup-simplify]: Simplify alpha into alpha
1.460 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.460 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.460 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.460 * [taylor]: Taking taylor expansion of 2.0 in beta
1.460 * [backup-simplify]: Simplify 2.0 into 2.0
1.460 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.460 * [taylor]: Taking taylor expansion of i in beta
1.460 * [backup-simplify]: Simplify i into i
1.460 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.460 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.460 * [taylor]: Taking taylor expansion of beta in beta
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify 1 into 1
1.460 * [backup-simplify]: Simplify (/ 1 1) into 1
1.460 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.461 * [taylor]: Taking taylor expansion of beta in beta
1.461 * [backup-simplify]: Simplify 0 into 0
1.461 * [backup-simplify]: Simplify 1 into 1
1.461 * [backup-simplify]: Simplify (+ 1 0) into 1
1.461 * [backup-simplify]: Simplify (+ 0 1) into 1
1.462 * [backup-simplify]: Simplify (+ 0 1) into 1
1.462 * [backup-simplify]: Simplify (+ 0 1) into 1
1.463 * [backup-simplify]: Simplify (+ 0 1) into 1
1.463 * [backup-simplify]: Simplify (* 1 1) into 1
1.463 * [backup-simplify]: Simplify (* 1 1) into 1
1.464 * [backup-simplify]: Simplify (* 1 1) into 1
1.464 * [backup-simplify]: Simplify (/ 1 1) into 1
1.464 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
1.464 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
1.464 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
1.464 * [taylor]: Taking taylor expansion of alpha in beta
1.464 * [backup-simplify]: Simplify alpha into alpha
1.464 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.464 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.464 * [taylor]: Taking taylor expansion of alpha in beta
1.464 * [backup-simplify]: Simplify alpha into alpha
1.464 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.465 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.465 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.465 * [taylor]: Taking taylor expansion of 2.0 in beta
1.465 * [backup-simplify]: Simplify 2.0 into 2.0
1.465 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.465 * [taylor]: Taking taylor expansion of i in beta
1.465 * [backup-simplify]: Simplify i into i
1.465 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.465 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.465 * [taylor]: Taking taylor expansion of beta in beta
1.465 * [backup-simplify]: Simplify 0 into 0
1.465 * [backup-simplify]: Simplify 1 into 1
1.465 * [backup-simplify]: Simplify (/ 1 1) into 1
1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
1.465 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.465 * [taylor]: Taking taylor expansion of alpha in beta
1.465 * [backup-simplify]: Simplify alpha into alpha
1.465 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.465 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
1.465 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.465 * [taylor]: Taking taylor expansion of 2.0 in beta
1.465 * [backup-simplify]: Simplify 2.0 into 2.0
1.466 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.466 * [taylor]: Taking taylor expansion of i in beta
1.466 * [backup-simplify]: Simplify i into i
1.466 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.466 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
1.466 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.466 * [taylor]: Taking taylor expansion of beta in beta
1.466 * [backup-simplify]: Simplify 0 into 0
1.466 * [backup-simplify]: Simplify 1 into 1
1.466 * [backup-simplify]: Simplify (/ 1 1) into 1
1.466 * [taylor]: Taking taylor expansion of 2.0 in beta
1.466 * [backup-simplify]: Simplify 2.0 into 2.0
1.466 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.467 * [backup-simplify]: Simplify (+ 0 1) into 1
1.467 * [backup-simplify]: Simplify (+ 0 1) into 1
1.467 * [backup-simplify]: Simplify (+ 1 0) into 1
1.468 * [backup-simplify]: Simplify (+ 0 1) into 1
1.468 * [backup-simplify]: Simplify (+ 0 1) into 1
1.468 * [backup-simplify]: Simplify (* 1 1) into 1
1.469 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
1.469 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
1.469 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
1.469 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
1.469 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.469 * [backup-simplify]: Simplify 1.0 into 1.0
1.469 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
1.469 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.469 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.469 * [taylor]: Taking taylor expansion of alpha in alpha
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 1 into 1
1.470 * [backup-simplify]: Simplify (/ 1 1) into 1
1.470 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.470 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.470 * [backup-simplify]: Simplify 2.0 into 2.0
1.470 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.470 * [taylor]: Taking taylor expansion of i in alpha
1.470 * [backup-simplify]: Simplify i into i
1.470 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.470 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.470 * [taylor]: Taking taylor expansion of beta in alpha
1.470 * [backup-simplify]: Simplify beta into beta
1.470 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.470 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.470 * [backup-simplify]: Simplify 2.0 into 2.0
1.470 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.470 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.470 * [taylor]: Taking taylor expansion of alpha in alpha
1.470 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify 1 into 1
1.471 * [backup-simplify]: Simplify (/ 1 1) into 1
1.471 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.471 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.471 * [backup-simplify]: Simplify 2.0 into 2.0
1.471 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.471 * [taylor]: Taking taylor expansion of i in alpha
1.471 * [backup-simplify]: Simplify i into i
1.471 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.471 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.471 * [taylor]: Taking taylor expansion of beta in alpha
1.471 * [backup-simplify]: Simplify beta into beta
1.471 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.471 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.471 * [taylor]: Taking taylor expansion of beta in alpha
1.471 * [backup-simplify]: Simplify beta into beta
1.472 * [backup-simplify]: Simplify (+ 1 0) into 1
1.472 * [backup-simplify]: Simplify (+ 1 0) into 1
1.472 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.472 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.472 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.472 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
1.472 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
1.472 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
1.473 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.473 * [taylor]: Taking taylor expansion of alpha in alpha
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 1 into 1
1.473 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.473 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.473 * [taylor]: Taking taylor expansion of alpha in alpha
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 1 into 1
1.473 * [backup-simplify]: Simplify (/ 1 1) into 1
1.473 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.473 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.473 * [backup-simplify]: Simplify 2.0 into 2.0
1.473 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.473 * [taylor]: Taking taylor expansion of i in alpha
1.473 * [backup-simplify]: Simplify i into i
1.473 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.473 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.473 * [taylor]: Taking taylor expansion of beta in alpha
1.473 * [backup-simplify]: Simplify beta into beta
1.473 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.473 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.473 * [taylor]: Taking taylor expansion of alpha in alpha
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 1 into 1
1.473 * [backup-simplify]: Simplify (/ 1 1) into 1
1.474 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.474 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.474 * [backup-simplify]: Simplify 2.0 into 2.0
1.474 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.474 * [taylor]: Taking taylor expansion of i in alpha
1.474 * [backup-simplify]: Simplify i into i
1.474 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.474 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.474 * [taylor]: Taking taylor expansion of beta in alpha
1.474 * [backup-simplify]: Simplify beta into beta
1.474 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.474 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.474 * [backup-simplify]: Simplify 2.0 into 2.0
1.474 * [backup-simplify]: Simplify (* 1 1) into 1
1.474 * [backup-simplify]: Simplify (+ 1 0) into 1
1.475 * [backup-simplify]: Simplify (+ 1 0) into 1
1.475 * [backup-simplify]: Simplify (* 1 1) into 1
1.475 * [backup-simplify]: Simplify (* 1 1) into 1
1.475 * [backup-simplify]: Simplify (/ 1 1) into 1
1.475 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
1.475 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
1.475 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.475 * [backup-simplify]: Simplify 1.0 into 1.0
1.475 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
1.475 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.475 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.475 * [taylor]: Taking taylor expansion of alpha in alpha
1.475 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify 1 into 1
1.476 * [backup-simplify]: Simplify (/ 1 1) into 1
1.476 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.476 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.476 * [backup-simplify]: Simplify 2.0 into 2.0
1.476 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.476 * [taylor]: Taking taylor expansion of i in alpha
1.476 * [backup-simplify]: Simplify i into i
1.476 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.476 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.476 * [taylor]: Taking taylor expansion of beta in alpha
1.476 * [backup-simplify]: Simplify beta into beta
1.476 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.476 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.476 * [backup-simplify]: Simplify 2.0 into 2.0
1.476 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.476 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.476 * [taylor]: Taking taylor expansion of alpha in alpha
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [backup-simplify]: Simplify 1 into 1
1.476 * [backup-simplify]: Simplify (/ 1 1) into 1
1.476 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.476 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.476 * [backup-simplify]: Simplify 2.0 into 2.0
1.476 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.477 * [taylor]: Taking taylor expansion of i in alpha
1.477 * [backup-simplify]: Simplify i into i
1.477 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.477 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.477 * [taylor]: Taking taylor expansion of beta in alpha
1.477 * [backup-simplify]: Simplify beta into beta
1.477 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.477 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.477 * [taylor]: Taking taylor expansion of beta in alpha
1.477 * [backup-simplify]: Simplify beta into beta
1.477 * [backup-simplify]: Simplify (+ 1 0) into 1
1.477 * [backup-simplify]: Simplify (+ 1 0) into 1
1.477 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.477 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.477 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.478 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
1.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
1.478 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
1.478 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.478 * [taylor]: Taking taylor expansion of alpha in alpha
1.478 * [backup-simplify]: Simplify 0 into 0
1.478 * [backup-simplify]: Simplify 1 into 1
1.478 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.478 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.478 * [taylor]: Taking taylor expansion of alpha in alpha
1.478 * [backup-simplify]: Simplify 0 into 0
1.478 * [backup-simplify]: Simplify 1 into 1
1.478 * [backup-simplify]: Simplify (/ 1 1) into 1
1.478 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.478 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.478 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.478 * [backup-simplify]: Simplify 2.0 into 2.0
1.478 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.478 * [taylor]: Taking taylor expansion of i in alpha
1.478 * [backup-simplify]: Simplify i into i
1.478 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.478 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.478 * [taylor]: Taking taylor expansion of beta in alpha
1.478 * [backup-simplify]: Simplify beta into beta
1.478 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.478 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.478 * [taylor]: Taking taylor expansion of alpha in alpha
1.478 * [backup-simplify]: Simplify 0 into 0
1.478 * [backup-simplify]: Simplify 1 into 1
1.479 * [backup-simplify]: Simplify (/ 1 1) into 1
1.479 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.479 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.479 * [backup-simplify]: Simplify 2.0 into 2.0
1.479 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.479 * [taylor]: Taking taylor expansion of i in alpha
1.479 * [backup-simplify]: Simplify i into i
1.479 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.479 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.479 * [taylor]: Taking taylor expansion of beta in alpha
1.479 * [backup-simplify]: Simplify beta into beta
1.479 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.479 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.479 * [backup-simplify]: Simplify 2.0 into 2.0
1.479 * [backup-simplify]: Simplify (* 1 1) into 1
1.479 * [backup-simplify]: Simplify (+ 1 0) into 1
1.480 * [backup-simplify]: Simplify (+ 1 0) into 1
1.480 * [backup-simplify]: Simplify (* 1 1) into 1
1.480 * [backup-simplify]: Simplify (* 1 1) into 1
1.480 * [backup-simplify]: Simplify (/ 1 1) into 1
1.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.481 * [backup-simplify]: Simplify (- 1) into -1
1.481 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
1.481 * [taylor]: Taking taylor expansion of 0 in beta
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [taylor]: Taking taylor expansion of 0 in i
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [backup-simplify]: Simplify (+ 0 0) into 0
1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.482 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.482 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
1.482 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.482 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.483 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.483 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.483 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.483 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.484 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
1.484 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.485 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.485 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
1.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.485 * [taylor]: Taking taylor expansion of 4.0 in beta
1.485 * [backup-simplify]: Simplify 4.0 into 4.0
1.485 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.485 * [taylor]: Taking taylor expansion of i in beta
1.485 * [backup-simplify]: Simplify i into i
1.485 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.485 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
1.485 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.485 * [taylor]: Taking taylor expansion of 2 in beta
1.485 * [backup-simplify]: Simplify 2 into 2
1.485 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.485 * [taylor]: Taking taylor expansion of beta in beta
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 1 into 1
1.485 * [backup-simplify]: Simplify (/ 1 1) into 1
1.485 * [taylor]: Taking taylor expansion of 2.0 in beta
1.485 * [backup-simplify]: Simplify 2.0 into 2.0
1.485 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.486 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.486 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.486 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
1.486 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
1.486 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.486 * [taylor]: Taking taylor expansion of 4.0 in i
1.486 * [backup-simplify]: Simplify 4.0 into 4.0
1.486 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.486 * [taylor]: Taking taylor expansion of i in i
1.486 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify (/ 1 1) into 1
1.487 * [taylor]: Taking taylor expansion of 2.0 in i
1.487 * [backup-simplify]: Simplify 2.0 into 2.0
1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.488 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
1.488 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.488 * [backup-simplify]: Simplify 2.0 into 2.0
1.488 * [taylor]: Taking taylor expansion of 0 in i
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.489 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.489 * [backup-simplify]: Simplify (+ 0 0) into 0
1.490 * [backup-simplify]: Simplify (+ 0 0) into 0
1.490 * [backup-simplify]: Simplify (+ 0 0) into 0
1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.491 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.491 * [backup-simplify]: Simplify (+ 0 0) into 0
1.491 * [backup-simplify]: Simplify (+ 0 0) into 0
1.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.494 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
1.495 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
1.496 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
1.496 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
1.496 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
1.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.496 * [taylor]: Taking taylor expansion of 2 in beta
1.497 * [backup-simplify]: Simplify 2 into 2
1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.497 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.497 * [taylor]: Taking taylor expansion of beta in beta
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [backup-simplify]: Simplify (* 1 1) into 1
1.498 * [backup-simplify]: Simplify (/ 1 1) into 1
1.498 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
1.498 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.498 * [taylor]: Taking taylor expansion of 12.0 in beta
1.498 * [backup-simplify]: Simplify 12.0 into 12.0
1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.498 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.498 * [taylor]: Taking taylor expansion of i in beta
1.498 * [backup-simplify]: Simplify i into i
1.498 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.498 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.498 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
1.498 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
1.498 * [taylor]: Taking taylor expansion of 6.0 in beta
1.498 * [backup-simplify]: Simplify 6.0 into 6.0
1.498 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.498 * [taylor]: Taking taylor expansion of beta in beta
1.498 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify 1 into 1
1.499 * [backup-simplify]: Simplify (/ 1 1) into 1
1.499 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
1.499 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.499 * [taylor]: Taking taylor expansion of 12.0 in beta
1.499 * [backup-simplify]: Simplify 12.0 into 12.0
1.499 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.499 * [taylor]: Taking taylor expansion of i in beta
1.499 * [backup-simplify]: Simplify i into i
1.499 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.499 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
1.499 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.499 * [taylor]: Taking taylor expansion of 12.0 in beta
1.499 * [backup-simplify]: Simplify 12.0 into 12.0
1.499 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.499 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.499 * [taylor]: Taking taylor expansion of i in beta
1.499 * [backup-simplify]: Simplify i into i
1.499 * [taylor]: Taking taylor expansion of beta in beta
1.499 * [backup-simplify]: Simplify 0 into 0
1.499 * [backup-simplify]: Simplify 1 into 1
1.499 * [backup-simplify]: Simplify (* i 0) into 0
1.500 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.500 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.500 * [taylor]: Taking taylor expansion of 4.0 in beta
1.500 * [backup-simplify]: Simplify 4.0 into 4.0
1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.504 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.504 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.506 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.506 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.507 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.507 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.508 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.508 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
1.508 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
1.508 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
1.508 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
1.508 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
1.508 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
1.508 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
1.509 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.509 * [taylor]: Taking taylor expansion of 12.0 in i
1.509 * [backup-simplify]: Simplify 12.0 into 12.0
1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.509 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.509 * [taylor]: Taking taylor expansion of i in i
1.509 * [backup-simplify]: Simplify 0 into 0
1.509 * [backup-simplify]: Simplify 1 into 1
1.509 * [backup-simplify]: Simplify (* 1 1) into 1
1.509 * [backup-simplify]: Simplify (/ 1 1) into 1
1.509 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
1.509 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.509 * [taylor]: Taking taylor expansion of 12.0 in i
1.509 * [backup-simplify]: Simplify 12.0 into 12.0
1.509 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.509 * [taylor]: Taking taylor expansion of i in i
1.509 * [backup-simplify]: Simplify 0 into 0
1.509 * [backup-simplify]: Simplify 1 into 1
1.510 * [backup-simplify]: Simplify (/ 1 1) into 1
1.510 * [taylor]: Taking taylor expansion of 4.0 in i
1.510 * [backup-simplify]: Simplify 4.0 into 4.0
1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.513 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
1.513 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.514 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.514 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.514 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.514 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.516 * [backup-simplify]: Simplify (+ 0 0) into 0
1.516 * [backup-simplify]: Simplify (+ 0 0) into 0
1.516 * [taylor]: Taking taylor expansion of 0 in i
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [taylor]: Taking taylor expansion of 0 in i
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.517 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.517 * [backup-simplify]: Simplify (+ 0 0) into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.518 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.518 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.518 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.519 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.519 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
1.519 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.519 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.520 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
1.521 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.522 * [backup-simplify]: Simplify (+ 0 0) into 0
1.523 * [backup-simplify]: Simplify (+ 0 0) into 0
1.523 * [backup-simplify]: Simplify (+ 0 0) into 0
1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.524 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.524 * [backup-simplify]: Simplify (+ 0 0) into 0
1.525 * [backup-simplify]: Simplify (+ 0 0) into 0
1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
1.531 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
1.533 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
1.533 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
1.533 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
1.534 * [taylor]: Taking taylor expansion of 20.0 in beta
1.534 * [backup-simplify]: Simplify 20.0 into 20.0
1.534 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
1.534 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.534 * [taylor]: Taking taylor expansion of i in beta
1.534 * [backup-simplify]: Simplify i into i
1.534 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.534 * [taylor]: Taking taylor expansion of beta in beta
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 1 into 1
1.534 * [backup-simplify]: Simplify (* 1 1) into 1
1.534 * [backup-simplify]: Simplify (* i 1) into i
1.534 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.534 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
1.534 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
1.534 * [taylor]: Taking taylor expansion of 48.0 in beta
1.534 * [backup-simplify]: Simplify 48.0 into 48.0
1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.534 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.534 * [taylor]: Taking taylor expansion of i in beta
1.534 * [backup-simplify]: Simplify i into i
1.534 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.534 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.534 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
1.534 * [taylor]: Taking taylor expansion of 8.0 in beta
1.534 * [backup-simplify]: Simplify 8.0 into 8.0
1.535 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
1.535 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
1.535 * [taylor]: Taking taylor expansion of 10.0 in beta
1.535 * [backup-simplify]: Simplify 10.0 into 10.0
1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.535 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.535 * [taylor]: Taking taylor expansion of beta in beta
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 1 into 1
1.535 * [backup-simplify]: Simplify (* 1 1) into 1
1.535 * [backup-simplify]: Simplify (/ 1 1) into 1
1.535 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
1.535 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
1.535 * [taylor]: Taking taylor expansion of 48.0 in beta
1.535 * [backup-simplify]: Simplify 48.0 into 48.0
1.535 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.535 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.535 * [taylor]: Taking taylor expansion of i in beta
1.535 * [backup-simplify]: Simplify i into i
1.535 * [taylor]: Taking taylor expansion of beta in beta
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 1 into 1
1.535 * [backup-simplify]: Simplify (* i 0) into 0
1.536 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.536 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.536 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
1.536 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
1.536 * [taylor]: Taking taylor expansion of 2 in beta
1.536 * [backup-simplify]: Simplify 2 into 2
1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
1.536 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.536 * [taylor]: Taking taylor expansion of beta in beta
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [backup-simplify]: Simplify (* 1 1) into 1
1.540 * [backup-simplify]: Simplify (* 1 1) into 1
1.541 * [backup-simplify]: Simplify (/ 1 1) into 1
1.541 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
1.541 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
1.541 * [taylor]: Taking taylor expansion of 48.0 in beta
1.541 * [backup-simplify]: Simplify 48.0 into 48.0
1.541 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
1.541 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
1.541 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.541 * [taylor]: Taking taylor expansion of i in beta
1.541 * [backup-simplify]: Simplify i into i
1.541 * [taylor]: Taking taylor expansion of beta in beta
1.541 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify 1 into 1
1.541 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.541 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
1.541 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
1.542 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
1.542 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.542 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
1.542 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
1.542 * [taylor]: Taking taylor expansion of 32.0 in beta
1.542 * [backup-simplify]: Simplify 32.0 into 32.0
1.542 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.542 * [taylor]: Taking taylor expansion of i in beta
1.542 * [backup-simplify]: Simplify i into i
1.542 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.542 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
1.542 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
1.542 * [taylor]: Taking taylor expansion of 16.0 in beta
1.542 * [backup-simplify]: Simplify 16.0 into 16.0
1.542 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.542 * [taylor]: Taking taylor expansion of beta in beta
1.542 * [backup-simplify]: Simplify 0 into 0
1.542 * [backup-simplify]: Simplify 1 into 1
1.542 * [backup-simplify]: Simplify (/ 1 1) into 1
1.542 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
1.543 * [taylor]: Taking taylor expansion of 32.0 in beta
1.543 * [backup-simplify]: Simplify 32.0 into 32.0
1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
1.543 * [taylor]: Taking taylor expansion of (pow i 3) in beta
1.543 * [taylor]: Taking taylor expansion of i in beta
1.543 * [backup-simplify]: Simplify i into i
1.543 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.543 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
1.543 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.544 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
1.544 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
1.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.545 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.545 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.548 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
1.548 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.548 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.554 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.554 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
1.555 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
1.555 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
1.555 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.556 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
1.556 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
1.557 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
1.557 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
1.558 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.558 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.558 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.559 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.559 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
1.559 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
1.560 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
1.560 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
1.560 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
1.560 * [taylor]: Taking taylor expansion of 48.0 in i
1.560 * [backup-simplify]: Simplify 48.0 into 48.0
1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.560 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.560 * [taylor]: Taking taylor expansion of i in i
1.560 * [backup-simplify]: Simplify 0 into 0
1.560 * [backup-simplify]: Simplify 1 into 1
1.561 * [backup-simplify]: Simplify (* 1 1) into 1
1.561 * [backup-simplify]: Simplify (/ 1 1) into 1
1.561 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
1.561 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
1.561 * [taylor]: Taking taylor expansion of 32.0 in i
1.561 * [backup-simplify]: Simplify 32.0 into 32.0
1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
1.561 * [taylor]: Taking taylor expansion of (pow i 3) in i
1.561 * [taylor]: Taking taylor expansion of i in i
1.562 * [backup-simplify]: Simplify 0 into 0
1.562 * [backup-simplify]: Simplify 1 into 1
1.562 * [backup-simplify]: Simplify (* 1 1) into 1
1.562 * [backup-simplify]: Simplify (* 1 1) into 1
1.563 * [backup-simplify]: Simplify (/ 1 1) into 1
1.563 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
1.563 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
1.563 * [taylor]: Taking taylor expansion of 32.0 in i
1.563 * [backup-simplify]: Simplify 32.0 into 32.0
1.563 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.563 * [taylor]: Taking taylor expansion of i in i
1.563 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify 1 into 1
1.563 * [backup-simplify]: Simplify (/ 1 1) into 1
1.563 * [taylor]: Taking taylor expansion of 8.0 in i
1.563 * [backup-simplify]: Simplify 8.0 into 8.0
1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.567 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.575 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.576 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
1.577 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
1.577 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
1.578 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
1.578 * [backup-simplify]: Simplify 8.0 into 8.0
1.579 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
1.580 * [backup-simplify]: Simplify (+ (/ (/ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (- (/ 1 (- beta)) (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
1.580 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
1.580 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
1.580 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
1.580 * [taylor]: Taking taylor expansion of 1.0 in i
1.580 * [backup-simplify]: Simplify 1.0 into 1.0
1.580 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
1.580 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
1.580 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
1.580 * [taylor]: Taking taylor expansion of alpha in i
1.580 * [backup-simplify]: Simplify alpha into alpha
1.580 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.580 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.580 * [taylor]: Taking taylor expansion of 2.0 in i
1.581 * [backup-simplify]: Simplify 2.0 into 2.0
1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.581 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.581 * [taylor]: Taking taylor expansion of alpha in i
1.581 * [backup-simplify]: Simplify alpha into alpha
1.581 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.581 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.581 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.581 * [taylor]: Taking taylor expansion of 2.0 in i
1.581 * [backup-simplify]: Simplify 2.0 into 2.0
1.581 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.581 * [taylor]: Taking taylor expansion of i in i
1.581 * [backup-simplify]: Simplify 0 into 0
1.581 * [backup-simplify]: Simplify 1 into 1
1.581 * [backup-simplify]: Simplify (/ 1 1) into 1
1.581 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.581 * [taylor]: Taking taylor expansion of beta in i
1.582 * [backup-simplify]: Simplify beta into beta
1.582 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.582 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.582 * [taylor]: Taking taylor expansion of alpha in i
1.582 * [backup-simplify]: Simplify alpha into alpha
1.582 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.582 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.582 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.582 * [taylor]: Taking taylor expansion of 2.0 in i
1.582 * [backup-simplify]: Simplify 2.0 into 2.0
1.582 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.582 * [taylor]: Taking taylor expansion of i in i
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.582 * [backup-simplify]: Simplify (/ 1 1) into 1
1.582 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.582 * [taylor]: Taking taylor expansion of beta in i
1.582 * [backup-simplify]: Simplify beta into beta
1.583 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.583 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.583 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.583 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.584 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.584 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.585 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.585 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.586 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.586 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.587 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
1.587 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
1.587 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
1.587 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
1.587 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
1.587 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.587 * [taylor]: Taking taylor expansion of 2.0 in i
1.587 * [backup-simplify]: Simplify 2.0 into 2.0
1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.588 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.588 * [taylor]: Taking taylor expansion of alpha in i
1.588 * [backup-simplify]: Simplify alpha into alpha
1.588 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.588 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.588 * [taylor]: Taking taylor expansion of 2.0 in i
1.588 * [backup-simplify]: Simplify 2.0 into 2.0
1.588 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.588 * [taylor]: Taking taylor expansion of i in i
1.588 * [backup-simplify]: Simplify 0 into 0
1.588 * [backup-simplify]: Simplify 1 into 1
1.588 * [backup-simplify]: Simplify (/ 1 1) into 1
1.588 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.588 * [taylor]: Taking taylor expansion of beta in i
1.588 * [backup-simplify]: Simplify beta into beta
1.588 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.589 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.589 * [taylor]: Taking taylor expansion of alpha in i
1.589 * [backup-simplify]: Simplify alpha into alpha
1.589 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.589 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.589 * [taylor]: Taking taylor expansion of 2.0 in i
1.589 * [backup-simplify]: Simplify 2.0 into 2.0
1.589 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.589 * [taylor]: Taking taylor expansion of i in i
1.589 * [backup-simplify]: Simplify 0 into 0
1.589 * [backup-simplify]: Simplify 1 into 1
1.589 * [backup-simplify]: Simplify (/ 1 1) into 1
1.589 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.589 * [taylor]: Taking taylor expansion of beta in i
1.589 * [backup-simplify]: Simplify beta into beta
1.589 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.589 * [taylor]: Taking taylor expansion of (pow beta 2) in i
1.589 * [taylor]: Taking taylor expansion of beta in i
1.589 * [backup-simplify]: Simplify beta into beta
1.590 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.590 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.591 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.591 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.592 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.592 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.593 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.593 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.593 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.593 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
1.594 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
1.594 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
1.594 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
1.594 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
1.594 * [taylor]: Taking taylor expansion of 1.0 in beta
1.594 * [backup-simplify]: Simplify 1.0 into 1.0
1.594 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
1.594 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
1.594 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
1.594 * [taylor]: Taking taylor expansion of alpha in beta
1.594 * [backup-simplify]: Simplify alpha into alpha
1.594 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.594 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.594 * [taylor]: Taking taylor expansion of 2.0 in beta
1.594 * [backup-simplify]: Simplify 2.0 into 2.0
1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.594 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.595 * [taylor]: Taking taylor expansion of alpha in beta
1.595 * [backup-simplify]: Simplify alpha into alpha
1.595 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.595 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.595 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.595 * [taylor]: Taking taylor expansion of 2.0 in beta
1.595 * [backup-simplify]: Simplify 2.0 into 2.0
1.595 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.595 * [taylor]: Taking taylor expansion of i in beta
1.595 * [backup-simplify]: Simplify i into i
1.595 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.595 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.595 * [taylor]: Taking taylor expansion of beta in beta
1.595 * [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 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.595 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.595 * [taylor]: Taking taylor expansion of alpha in beta
1.595 * [backup-simplify]: Simplify alpha into alpha
1.596 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.596 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.596 * [taylor]: Taking taylor expansion of 2.0 in beta
1.596 * [backup-simplify]: Simplify 2.0 into 2.0
1.596 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.596 * [taylor]: Taking taylor expansion of i in beta
1.596 * [backup-simplify]: Simplify i into i
1.596 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.596 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.596 * [taylor]: Taking taylor expansion of beta in beta
1.596 * [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 (* alpha alpha) into (pow alpha 2)
1.597 * [backup-simplify]: Simplify (+ 0 1) into 1
1.597 * [backup-simplify]: Simplify (+ 0 1) into 1
1.597 * [backup-simplify]: Simplify (- 1) into -1
1.598 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.598 * [backup-simplify]: Simplify (+ 0 1) into 1
1.599 * [backup-simplify]: Simplify (+ 0 1) into 1
1.599 * [backup-simplify]: Simplify (* -1 1) into -1
1.599 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
1.599 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
1.599 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
1.599 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
1.600 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.600 * [taylor]: Taking taylor expansion of 2.0 in beta
1.600 * [backup-simplify]: Simplify 2.0 into 2.0
1.600 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.600 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.600 * [taylor]: Taking taylor expansion of alpha in beta
1.600 * [backup-simplify]: Simplify alpha into alpha
1.600 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.600 * [taylor]: Taking taylor expansion of 2.0 in beta
1.600 * [backup-simplify]: Simplify 2.0 into 2.0
1.600 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.600 * [taylor]: Taking taylor expansion of i in beta
1.600 * [backup-simplify]: Simplify i into i
1.600 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.600 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.600 * [taylor]: Taking taylor expansion of beta in beta
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 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.601 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.601 * [taylor]: Taking taylor expansion of alpha in beta
1.601 * [backup-simplify]: Simplify alpha into alpha
1.601 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.601 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.601 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.601 * [taylor]: Taking taylor expansion of 2.0 in beta
1.601 * [backup-simplify]: Simplify 2.0 into 2.0
1.601 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.601 * [taylor]: Taking taylor expansion of i in beta
1.601 * [backup-simplify]: Simplify i into i
1.601 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.601 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.601 * [taylor]: Taking taylor expansion of beta in beta
1.601 * [backup-simplify]: Simplify 0 into 0
1.601 * [backup-simplify]: Simplify 1 into 1
1.601 * [backup-simplify]: Simplify (/ 1 1) into 1
1.601 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.601 * [taylor]: Taking taylor expansion of beta in beta
1.602 * [backup-simplify]: Simplify 0 into 0
1.602 * [backup-simplify]: Simplify 1 into 1
1.602 * [backup-simplify]: Simplify (+ 0 1) into 1
1.602 * [backup-simplify]: Simplify (+ 0 1) into 1
1.603 * [backup-simplify]: Simplify (- 1) into -1
1.603 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.604 * [backup-simplify]: Simplify (+ 0 1) into 1
1.604 * [backup-simplify]: Simplify (+ 0 1) into 1
1.604 * [backup-simplify]: Simplify (* 1 1) into 1
1.605 * [backup-simplify]: Simplify (* 1 1) into 1
1.605 * [backup-simplify]: Simplify (* -1 1) into -1
1.605 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.606 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
1.606 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
1.606 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.606 * [backup-simplify]: Simplify 1.0 into 1.0
1.606 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
1.606 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
1.606 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.606 * [taylor]: Taking taylor expansion of alpha in alpha
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.606 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.606 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.606 * [backup-simplify]: Simplify 2.0 into 2.0
1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.606 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.606 * [taylor]: Taking taylor expansion of alpha in alpha
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (/ 1 1) into 1
1.607 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.607 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.607 * [backup-simplify]: Simplify 2.0 into 2.0
1.607 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.607 * [taylor]: Taking taylor expansion of i in alpha
1.607 * [backup-simplify]: Simplify i into i
1.607 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.607 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.607 * [taylor]: Taking taylor expansion of beta in alpha
1.607 * [backup-simplify]: Simplify beta into beta
1.607 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.607 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.607 * [taylor]: Taking taylor expansion of alpha in alpha
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (/ 1 1) into 1
1.607 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.608 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.608 * [backup-simplify]: Simplify 2.0 into 2.0
1.608 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.608 * [taylor]: Taking taylor expansion of i in alpha
1.608 * [backup-simplify]: Simplify i into i
1.608 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.608 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.608 * [taylor]: Taking taylor expansion of beta in alpha
1.608 * [backup-simplify]: Simplify beta into beta
1.608 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.608 * [backup-simplify]: Simplify (* 1 1) into 1
1.609 * [backup-simplify]: Simplify (+ 1 0) into 1
1.609 * [backup-simplify]: Simplify (- 1) into -1
1.609 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.610 * [backup-simplify]: Simplify (+ 1 0) into 1
1.610 * [backup-simplify]: Simplify (* -1 1) into -1
1.611 * [backup-simplify]: Simplify (* 1 -1) into -1
1.611 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.611 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
1.611 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
1.611 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.611 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.611 * [backup-simplify]: Simplify 2.0 into 2.0
1.611 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.611 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.611 * [taylor]: Taking taylor expansion of alpha in alpha
1.611 * [backup-simplify]: Simplify 0 into 0
1.611 * [backup-simplify]: Simplify 1 into 1
1.612 * [backup-simplify]: Simplify (/ 1 1) into 1
1.612 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.612 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.612 * [backup-simplify]: Simplify 2.0 into 2.0
1.612 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.612 * [taylor]: Taking taylor expansion of i in alpha
1.612 * [backup-simplify]: Simplify i into i
1.612 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.612 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.612 * [taylor]: Taking taylor expansion of beta in alpha
1.612 * [backup-simplify]: Simplify beta into beta
1.612 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.612 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.612 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.612 * [taylor]: Taking taylor expansion of alpha in alpha
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 1 into 1
1.613 * [backup-simplify]: Simplify (/ 1 1) into 1
1.613 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.613 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.613 * [backup-simplify]: Simplify 2.0 into 2.0
1.613 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.613 * [taylor]: Taking taylor expansion of i in alpha
1.613 * [backup-simplify]: Simplify i into i
1.613 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.613 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.613 * [taylor]: Taking taylor expansion of beta in alpha
1.613 * [backup-simplify]: Simplify beta into beta
1.613 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.613 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.613 * [taylor]: Taking taylor expansion of beta in alpha
1.613 * [backup-simplify]: Simplify beta into beta
1.614 * [backup-simplify]: Simplify (+ 1 0) into 1
1.614 * [backup-simplify]: Simplify (- 1) into -1
1.614 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.615 * [backup-simplify]: Simplify (+ 1 0) into 1
1.615 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.615 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.615 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
1.615 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
1.615 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
1.615 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
1.615 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.615 * [backup-simplify]: Simplify 1.0 into 1.0
1.615 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
1.615 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
1.616 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.616 * [taylor]: Taking taylor expansion of alpha in alpha
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 1 into 1
1.616 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.616 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.616 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.616 * [backup-simplify]: Simplify 2.0 into 2.0
1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.616 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.616 * [taylor]: Taking taylor expansion of alpha in alpha
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 1 into 1
1.616 * [backup-simplify]: Simplify (/ 1 1) into 1
1.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.616 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.616 * [backup-simplify]: Simplify 2.0 into 2.0
1.616 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.616 * [taylor]: Taking taylor expansion of i in alpha
1.616 * [backup-simplify]: Simplify i into i
1.617 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.617 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.617 * [taylor]: Taking taylor expansion of beta in alpha
1.617 * [backup-simplify]: Simplify beta into beta
1.617 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.617 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.617 * [taylor]: Taking taylor expansion of alpha in alpha
1.617 * [backup-simplify]: Simplify 0 into 0
1.617 * [backup-simplify]: Simplify 1 into 1
1.617 * [backup-simplify]: Simplify (/ 1 1) into 1
1.617 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.617 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.617 * [backup-simplify]: Simplify 2.0 into 2.0
1.617 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.617 * [taylor]: Taking taylor expansion of i in alpha
1.617 * [backup-simplify]: Simplify i into i
1.617 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.617 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.617 * [taylor]: Taking taylor expansion of beta in alpha
1.618 * [backup-simplify]: Simplify beta into beta
1.618 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.618 * [backup-simplify]: Simplify (* 1 1) into 1
1.618 * [backup-simplify]: Simplify (+ 1 0) into 1
1.619 * [backup-simplify]: Simplify (- 1) into -1
1.619 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.619 * [backup-simplify]: Simplify (+ 1 0) into 1
1.620 * [backup-simplify]: Simplify (* -1 1) into -1
1.620 * [backup-simplify]: Simplify (* 1 -1) into -1
1.621 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.621 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
1.621 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
1.621 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.621 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.621 * [backup-simplify]: Simplify 2.0 into 2.0
1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.621 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.621 * [taylor]: Taking taylor expansion of alpha in alpha
1.621 * [backup-simplify]: Simplify 0 into 0
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [backup-simplify]: Simplify (/ 1 1) into 1
1.621 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.621 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.621 * [backup-simplify]: Simplify 2.0 into 2.0
1.621 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.621 * [taylor]: Taking taylor expansion of i in alpha
1.621 * [backup-simplify]: Simplify i into i
1.622 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.622 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.622 * [taylor]: Taking taylor expansion of beta in alpha
1.622 * [backup-simplify]: Simplify beta into beta
1.622 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.622 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.622 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.622 * [taylor]: Taking taylor expansion of alpha in alpha
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify (/ 1 1) into 1
1.622 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.622 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.622 * [backup-simplify]: Simplify 2.0 into 2.0
1.622 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.622 * [taylor]: Taking taylor expansion of i in alpha
1.622 * [backup-simplify]: Simplify i into i
1.622 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.623 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.623 * [taylor]: Taking taylor expansion of beta in alpha
1.623 * [backup-simplify]: Simplify beta into beta
1.623 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.623 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.623 * [taylor]: Taking taylor expansion of beta in alpha
1.623 * [backup-simplify]: Simplify beta into beta
1.623 * [backup-simplify]: Simplify (+ 1 0) into 1
1.623 * [backup-simplify]: Simplify (- 1) into -1
1.624 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.624 * [backup-simplify]: Simplify (+ 1 0) into 1
1.624 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.625 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.625 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
1.625 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
1.625 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
1.626 * [backup-simplify]: Simplify (+ 0 0) into 0
1.626 * [taylor]: Taking taylor expansion of 0 in beta
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [taylor]: Taking taylor expansion of 0 in i
1.626 * [backup-simplify]: Simplify 0 into 0
1.626 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.627 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.627 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.627 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.628 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.628 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.628 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.628 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.629 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.629 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
1.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.630 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
1.631 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.631 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.631 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.631 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
1.631 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
1.632 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.632 * [taylor]: Taking taylor expansion of 4.0 in beta
1.632 * [backup-simplify]: Simplify 4.0 into 4.0
1.632 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.632 * [taylor]: Taking taylor expansion of i in beta
1.632 * [backup-simplify]: Simplify i into i
1.632 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.632 * [taylor]: Taking taylor expansion of 2 in beta
1.632 * [backup-simplify]: Simplify 2 into 2
1.632 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.632 * [taylor]: Taking taylor expansion of beta in beta
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 1 into 1
1.632 * [backup-simplify]: Simplify (/ 1 1) into 1
1.632 * [taylor]: Taking taylor expansion of 2.0 in beta
1.632 * [backup-simplify]: Simplify 2.0 into 2.0
1.632 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.633 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.633 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
1.633 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.634 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
1.634 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
1.634 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.634 * [taylor]: Taking taylor expansion of 4.0 in i
1.634 * [backup-simplify]: Simplify 4.0 into 4.0
1.634 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.634 * [taylor]: Taking taylor expansion of i in i
1.634 * [backup-simplify]: Simplify 0 into 0
1.634 * [backup-simplify]: Simplify 1 into 1
1.634 * [backup-simplify]: Simplify (/ 1 1) into 1
1.634 * [taylor]: Taking taylor expansion of 2.0 in i
1.634 * [backup-simplify]: Simplify 2.0 into 2.0
1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.635 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
1.635 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.636 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.636 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.636 * [taylor]: Taking taylor expansion of 0 in i
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 0 into 0
1.636 * [backup-simplify]: Simplify 0 into 0
1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.638 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.640 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.640 * [backup-simplify]: Simplify (+ 0 0) into 0
1.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1.641 * [backup-simplify]: Simplify (- 0) into 0
1.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.645 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
1.647 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
1.648 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
1.648 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
1.649 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
1.650 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
1.650 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
1.650 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.650 * [taylor]: Taking taylor expansion of 12.0 in beta
1.650 * [backup-simplify]: Simplify 12.0 into 12.0
1.650 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.650 * [taylor]: Taking taylor expansion of i in beta
1.650 * [backup-simplify]: Simplify i into i
1.650 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.650 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
1.650 * [taylor]: Taking taylor expansion of 6.0 in beta
1.650 * [backup-simplify]: Simplify 6.0 into 6.0
1.650 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.650 * [taylor]: Taking taylor expansion of beta in beta
1.650 * [backup-simplify]: Simplify 0 into 0
1.650 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (/ 1 1) into 1
1.651 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
1.651 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.651 * [taylor]: Taking taylor expansion of 12.0 in beta
1.651 * [backup-simplify]: Simplify 12.0 into 12.0
1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.651 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.651 * [taylor]: Taking taylor expansion of i in beta
1.651 * [backup-simplify]: Simplify i into i
1.651 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.651 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.651 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
1.651 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.651 * [taylor]: Taking taylor expansion of 12.0 in beta
1.651 * [backup-simplify]: Simplify 12.0 into 12.0
1.651 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.651 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.651 * [taylor]: Taking taylor expansion of i in beta
1.651 * [backup-simplify]: Simplify i into i
1.651 * [taylor]: Taking taylor expansion of beta in beta
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (* i 0) into 0
1.652 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.652 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.652 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
1.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.652 * [taylor]: Taking taylor expansion of 2 in beta
1.652 * [backup-simplify]: Simplify 2 into 2
1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.652 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.652 * [taylor]: Taking taylor expansion of beta in beta
1.652 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify 1 into 1
1.652 * [backup-simplify]: Simplify (* 1 1) into 1
1.653 * [backup-simplify]: Simplify (/ 1 1) into 1
1.653 * [taylor]: Taking taylor expansion of 4.0 in beta
1.653 * [backup-simplify]: Simplify 4.0 into 4.0
1.653 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.655 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.655 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
1.655 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.655 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.656 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.660 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.661 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.661 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
1.661 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
1.661 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
1.661 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
1.662 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.662 * [taylor]: Taking taylor expansion of 12.0 in i
1.662 * [backup-simplify]: Simplify 12.0 into 12.0
1.662 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.662 * [taylor]: Taking taylor expansion of i in i
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [backup-simplify]: Simplify (/ 1 1) into 1
1.662 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
1.662 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.662 * [taylor]: Taking taylor expansion of 12.0 in i
1.662 * [backup-simplify]: Simplify 12.0 into 12.0
1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.662 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.662 * [taylor]: Taking taylor expansion of i in i
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (* 1 1) into 1
1.663 * [backup-simplify]: Simplify (/ 1 1) into 1
1.663 * [taylor]: Taking taylor expansion of 4.0 in i
1.663 * [backup-simplify]: Simplify 4.0 into 4.0
1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.664 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
1.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.668 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
1.668 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.668 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.669 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
1.669 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.675 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.676 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.676 * [backup-simplify]: Simplify (+ 0 0) into 0
1.677 * [backup-simplify]: Simplify (- 0) into 0
1.677 * [backup-simplify]: Simplify (+ 0 0) into 0
1.677 * [taylor]: Taking taylor expansion of 0 in i
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [taylor]: Taking taylor expansion of 0 in i
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.678 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.678 * [backup-simplify]: Simplify (- 0) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.680 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.680 * [backup-simplify]: Simplify (+ 0 0) into 0
1.680 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.681 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.682 * [backup-simplify]: Simplify (+ 0 0) into 0
1.682 * [backup-simplify]: Simplify (+ 0 0) into 0
1.682 * [backup-simplify]: Simplify (- 0) into 0
1.683 * [backup-simplify]: Simplify (+ 0 0) into 0
1.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
1.687 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
1.689 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
1.689 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.690 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.690 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.690 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.690 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.691 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.691 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.691 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.691 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.691 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.692 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
1.692 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
1.693 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
1.694 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
1.695 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
1.695 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
1.695 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
1.695 * [taylor]: Taking taylor expansion of 20.0 in beta
1.695 * [backup-simplify]: Simplify 20.0 into 20.0
1.695 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
1.695 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.695 * [taylor]: Taking taylor expansion of i in beta
1.695 * [backup-simplify]: Simplify i into i
1.695 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.695 * [taylor]: Taking taylor expansion of beta in beta
1.695 * [backup-simplify]: Simplify 0 into 0
1.695 * [backup-simplify]: Simplify 1 into 1
1.695 * [backup-simplify]: Simplify (* 1 1) into 1
1.695 * [backup-simplify]: Simplify (* i 1) into i
1.695 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.695 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
1.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
1.695 * [taylor]: Taking taylor expansion of 2 in beta
1.695 * [backup-simplify]: Simplify 2 into 2
1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
1.695 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.695 * [taylor]: Taking taylor expansion of beta in beta
1.695 * [backup-simplify]: Simplify 0 into 0
1.695 * [backup-simplify]: Simplify 1 into 1
1.696 * [backup-simplify]: Simplify (* 1 1) into 1
1.696 * [backup-simplify]: Simplify (* 1 1) into 1
1.696 * [backup-simplify]: Simplify (/ 1 1) into 1
1.696 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
1.696 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
1.696 * [taylor]: Taking taylor expansion of 48.0 in beta
1.696 * [backup-simplify]: Simplify 48.0 into 48.0
1.696 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
1.696 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
1.696 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.696 * [taylor]: Taking taylor expansion of i in beta
1.696 * [backup-simplify]: Simplify i into i
1.696 * [taylor]: Taking taylor expansion of beta in beta
1.696 * [backup-simplify]: Simplify 0 into 0
1.696 * [backup-simplify]: Simplify 1 into 1
1.696 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.696 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
1.696 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
1.697 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
1.697 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.697 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
1.697 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
1.697 * [taylor]: Taking taylor expansion of 32.0 in beta
1.697 * [backup-simplify]: Simplify 32.0 into 32.0
1.697 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.697 * [taylor]: Taking taylor expansion of i in beta
1.697 * [backup-simplify]: Simplify i into i
1.697 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.697 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
1.697 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
1.697 * [taylor]: Taking taylor expansion of 16.0 in beta
1.697 * [backup-simplify]: Simplify 16.0 into 16.0
1.697 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.697 * [taylor]: Taking taylor expansion of beta in beta
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [backup-simplify]: Simplify 1 into 1
1.697 * [backup-simplify]: Simplify (/ 1 1) into 1
1.697 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
1.697 * [taylor]: Taking taylor expansion of 32.0 in beta
1.698 * [backup-simplify]: Simplify 32.0 into 32.0
1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
1.698 * [taylor]: Taking taylor expansion of (pow i 3) in beta
1.698 * [taylor]: Taking taylor expansion of i in beta
1.698 * [backup-simplify]: Simplify i into i
1.698 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.698 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
1.698 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
1.698 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
1.698 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
1.698 * [taylor]: Taking taylor expansion of 10.0 in beta
1.698 * [backup-simplify]: Simplify 10.0 into 10.0
1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.698 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.698 * [taylor]: Taking taylor expansion of beta in beta
1.698 * [backup-simplify]: Simplify 0 into 0
1.698 * [backup-simplify]: Simplify 1 into 1
1.698 * [backup-simplify]: Simplify (* 1 1) into 1
1.698 * [backup-simplify]: Simplify (/ 1 1) into 1
1.698 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
1.699 * [taylor]: Taking taylor expansion of 8.0 in beta
1.699 * [backup-simplify]: Simplify 8.0 into 8.0
1.699 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
1.699 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
1.699 * [taylor]: Taking taylor expansion of 48.0 in beta
1.699 * [backup-simplify]: Simplify 48.0 into 48.0
1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.699 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.699 * [taylor]: Taking taylor expansion of i in beta
1.699 * [backup-simplify]: Simplify i into i
1.699 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.699 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.699 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
1.699 * [taylor]: Taking taylor expansion of 48.0 in beta
1.699 * [backup-simplify]: Simplify 48.0 into 48.0
1.699 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.699 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.699 * [taylor]: Taking taylor expansion of i in beta
1.699 * [backup-simplify]: Simplify i into i
1.699 * [taylor]: Taking taylor expansion of beta in beta
1.699 * [backup-simplify]: Simplify 0 into 0
1.699 * [backup-simplify]: Simplify 1 into 1
1.699 * [backup-simplify]: Simplify (* i 0) into 0
1.699 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.699 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.701 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
1.701 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.702 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.707 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
1.708 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
1.708 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
1.708 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.709 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
1.709 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
1.709 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
1.709 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
1.710 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.710 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.710 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
1.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.712 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
1.713 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
1.713 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.713 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
1.713 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
1.714 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
1.714 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
1.714 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
1.714 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
1.714 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
1.714 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
1.714 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
1.714 * [taylor]: Taking taylor expansion of 32.0 in i
1.714 * [backup-simplify]: Simplify 32.0 into 32.0
1.714 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.714 * [taylor]: Taking taylor expansion of i in i
1.714 * [backup-simplify]: Simplify 0 into 0
1.714 * [backup-simplify]: Simplify 1 into 1
1.715 * [backup-simplify]: Simplify (/ 1 1) into 1
1.715 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
1.715 * [taylor]: Taking taylor expansion of 32.0 in i
1.715 * [backup-simplify]: Simplify 32.0 into 32.0
1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
1.715 * [taylor]: Taking taylor expansion of (pow i 3) in i
1.715 * [taylor]: Taking taylor expansion of i in i
1.715 * [backup-simplify]: Simplify 0 into 0
1.715 * [backup-simplify]: Simplify 1 into 1
1.715 * [backup-simplify]: Simplify (* 1 1) into 1
1.715 * [backup-simplify]: Simplify (* 1 1) into 1
1.716 * [backup-simplify]: Simplify (/ 1 1) into 1
1.716 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
1.716 * [taylor]: Taking taylor expansion of 8.0 in i
1.716 * [backup-simplify]: Simplify 8.0 into 8.0
1.716 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
1.716 * [taylor]: Taking taylor expansion of 48.0 in i
1.716 * [backup-simplify]: Simplify 48.0 into 48.0
1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.716 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.716 * [taylor]: Taking taylor expansion of i in i
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 1 into 1
1.716 * [backup-simplify]: Simplify (* 1 1) into 1
1.716 * [backup-simplify]: Simplify (/ 1 1) into 1
1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.717 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.720 * [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
1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (+ 0 0) into 0
1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.724 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
1.725 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
1.725 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
1.725 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
1.726 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
1.727 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
1.727 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
1.727 * [backup-simplify]: Simplify (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) into (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
1.727 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (alpha beta i) around 0
1.727 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
1.727 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
1.727 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
1.727 * [taylor]: Taking taylor expansion of alpha in i
1.727 * [backup-simplify]: Simplify alpha into alpha
1.727 * [taylor]: Taking taylor expansion of beta in i
1.727 * [backup-simplify]: Simplify beta into beta
1.727 * [taylor]: Taking taylor expansion of (- beta alpha) in i
1.727 * [taylor]: Taking taylor expansion of beta in i
1.727 * [backup-simplify]: Simplify beta into beta
1.727 * [taylor]: Taking taylor expansion of alpha in i
1.727 * [backup-simplify]: Simplify alpha into alpha
1.727 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
1.727 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.727 * [taylor]: Taking taylor expansion of alpha in i
1.727 * [backup-simplify]: Simplify alpha into alpha
1.727 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.728 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.728 * [taylor]: Taking taylor expansion of 2.0 in i
1.728 * [backup-simplify]: Simplify 2.0 into 2.0
1.728 * [taylor]: Taking taylor expansion of i in i
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [taylor]: Taking taylor expansion of beta in i
1.728 * [backup-simplify]: Simplify beta into beta
1.728 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
1.728 * [taylor]: Taking taylor expansion of alpha in i
1.728 * [backup-simplify]: Simplify alpha into alpha
1.728 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
1.728 * [taylor]: Taking taylor expansion of 2.0 in i
1.728 * [backup-simplify]: Simplify 2.0 into 2.0
1.728 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.728 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.728 * [taylor]: Taking taylor expansion of 2.0 in i
1.728 * [backup-simplify]: Simplify 2.0 into 2.0
1.728 * [taylor]: Taking taylor expansion of i in i
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify 1 into 1
1.728 * [taylor]: Taking taylor expansion of beta in i
1.728 * [backup-simplify]: Simplify beta into beta
1.728 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.728 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.728 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
1.728 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
1.728 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.728 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.728 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.729 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.729 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.729 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
1.729 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
1.729 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
1.729 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
1.729 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
1.729 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
1.729 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
1.729 * [taylor]: Taking taylor expansion of alpha in beta
1.729 * [backup-simplify]: Simplify alpha into alpha
1.729 * [taylor]: Taking taylor expansion of beta in beta
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.729 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
1.729 * [taylor]: Taking taylor expansion of beta in beta
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.729 * [taylor]: Taking taylor expansion of alpha in beta
1.729 * [backup-simplify]: Simplify alpha into alpha
1.729 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
1.729 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.729 * [taylor]: Taking taylor expansion of alpha in beta
1.729 * [backup-simplify]: Simplify alpha into alpha
1.729 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.729 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.729 * [taylor]: Taking taylor expansion of 2.0 in beta
1.729 * [backup-simplify]: Simplify 2.0 into 2.0
1.729 * [taylor]: Taking taylor expansion of i in beta
1.729 * [backup-simplify]: Simplify i into i
1.729 * [taylor]: Taking taylor expansion of beta in beta
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.729 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
1.729 * [taylor]: Taking taylor expansion of alpha in beta
1.729 * [backup-simplify]: Simplify alpha into alpha
1.729 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
1.729 * [taylor]: Taking taylor expansion of 2.0 in beta
1.730 * [backup-simplify]: Simplify 2.0 into 2.0
1.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.730 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.730 * [taylor]: Taking taylor expansion of 2.0 in beta
1.730 * [backup-simplify]: Simplify 2.0 into 2.0
1.730 * [taylor]: Taking taylor expansion of i in beta
1.730 * [backup-simplify]: Simplify i into i
1.730 * [taylor]: Taking taylor expansion of beta in beta
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 1 into 1
1.730 * [backup-simplify]: Simplify (+ alpha 0) into alpha
1.730 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.730 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
1.730 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
1.730 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.730 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.730 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.730 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.730 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.730 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
1.730 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
1.730 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
1.730 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
1.730 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.730 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.731 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.731 * [taylor]: Taking taylor expansion of alpha in alpha
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of beta in alpha
1.731 * [backup-simplify]: Simplify beta into beta
1.731 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.731 * [taylor]: Taking taylor expansion of beta in alpha
1.731 * [backup-simplify]: Simplify beta into beta
1.731 * [taylor]: Taking taylor expansion of alpha in alpha
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.731 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.731 * [taylor]: Taking taylor expansion of alpha in alpha
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.731 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.731 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.731 * [backup-simplify]: Simplify 2.0 into 2.0
1.731 * [taylor]: Taking taylor expansion of i in alpha
1.731 * [backup-simplify]: Simplify i into i
1.731 * [taylor]: Taking taylor expansion of beta in alpha
1.731 * [backup-simplify]: Simplify beta into beta
1.731 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.731 * [taylor]: Taking taylor expansion of alpha in alpha
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.731 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.731 * [backup-simplify]: Simplify 2.0 into 2.0
1.731 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.731 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.731 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.731 * [backup-simplify]: Simplify 2.0 into 2.0
1.731 * [taylor]: Taking taylor expansion of i in alpha
1.731 * [backup-simplify]: Simplify i into i
1.731 * [taylor]: Taking taylor expansion of beta in alpha
1.731 * [backup-simplify]: Simplify beta into beta
1.731 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.731 * [backup-simplify]: Simplify (- 0) into 0
1.731 * [backup-simplify]: Simplify (+ beta 0) into beta
1.731 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.732 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.732 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.732 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.732 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.732 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.732 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.732 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.732 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.732 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
1.732 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.732 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.732 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.732 * [taylor]: Taking taylor expansion of alpha in alpha
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.732 * [taylor]: Taking taylor expansion of beta in alpha
1.732 * [backup-simplify]: Simplify beta into beta
1.732 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.732 * [taylor]: Taking taylor expansion of beta in alpha
1.732 * [backup-simplify]: Simplify beta into beta
1.732 * [taylor]: Taking taylor expansion of alpha in alpha
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.732 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.732 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.732 * [taylor]: Taking taylor expansion of alpha in alpha
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.733 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.733 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.733 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.733 * [backup-simplify]: Simplify 2.0 into 2.0
1.733 * [taylor]: Taking taylor expansion of i in alpha
1.733 * [backup-simplify]: Simplify i into i
1.733 * [taylor]: Taking taylor expansion of beta in alpha
1.733 * [backup-simplify]: Simplify beta into beta
1.733 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.733 * [taylor]: Taking taylor expansion of alpha in alpha
1.733 * [backup-simplify]: Simplify 0 into 0
1.733 * [backup-simplify]: Simplify 1 into 1
1.733 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.733 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.733 * [backup-simplify]: Simplify 2.0 into 2.0
1.733 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.733 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.733 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.733 * [backup-simplify]: Simplify 2.0 into 2.0
1.733 * [taylor]: Taking taylor expansion of i in alpha
1.733 * [backup-simplify]: Simplify i into i
1.733 * [taylor]: Taking taylor expansion of beta in alpha
1.733 * [backup-simplify]: Simplify beta into beta
1.733 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.733 * [backup-simplify]: Simplify (- 0) into 0
1.733 * [backup-simplify]: Simplify (+ beta 0) into beta
1.733 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.733 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.733 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.733 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.733 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.733 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.734 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.734 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.734 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.734 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
1.734 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.734 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.734 * [taylor]: Taking taylor expansion of beta in beta
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 1 into 1
1.734 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.734 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.734 * [taylor]: Taking taylor expansion of 2.0 in beta
1.734 * [backup-simplify]: Simplify 2.0 into 2.0
1.734 * [taylor]: Taking taylor expansion of i in beta
1.734 * [backup-simplify]: Simplify i into i
1.734 * [taylor]: Taking taylor expansion of beta in beta
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 1 into 1
1.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.734 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.734 * [taylor]: Taking taylor expansion of 2.0 in beta
1.734 * [backup-simplify]: Simplify 2.0 into 2.0
1.734 * [taylor]: Taking taylor expansion of i in beta
1.734 * [backup-simplify]: Simplify i into i
1.734 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.734 * [taylor]: Taking taylor expansion of beta in beta
1.734 * [backup-simplify]: Simplify 0 into 0
1.734 * [backup-simplify]: Simplify 1 into 1
1.734 * [taylor]: Taking taylor expansion of 2.0 in beta
1.734 * [backup-simplify]: Simplify 2.0 into 2.0
1.735 * [backup-simplify]: Simplify (* 1 1) into 1
1.735 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.735 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.735 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.735 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.735 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.735 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.735 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.736 * [backup-simplify]: Simplify (- 1) into -1
1.736 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.736 * [backup-simplify]: Simplify (+ 1 0) into 1
1.736 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
1.736 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.737 * [backup-simplify]: Simplify (+ 0 0) into 0
1.737 * [backup-simplify]: Simplify (+ 0 0) into 0
1.737 * [backup-simplify]: Simplify (+ 1 0) into 1
1.737 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.738 * [backup-simplify]: Simplify (+ 0 0) into 0
1.738 * [backup-simplify]: Simplify (+ 1 0) into 1
1.738 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
1.739 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
1.739 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
1.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
1.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.739 * [taylor]: Taking taylor expansion of 2.0 in beta
1.739 * [backup-simplify]: Simplify 2.0 into 2.0
1.739 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.739 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.739 * [taylor]: Taking taylor expansion of beta in beta
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.739 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.739 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.739 * [taylor]: Taking taylor expansion of 2.0 in beta
1.739 * [backup-simplify]: Simplify 2.0 into 2.0
1.739 * [taylor]: Taking taylor expansion of i in beta
1.739 * [backup-simplify]: Simplify i into i
1.739 * [taylor]: Taking taylor expansion of beta in beta
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.739 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.739 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.740 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.740 * [taylor]: Taking taylor expansion of 2.0 in beta
1.740 * [backup-simplify]: Simplify 2.0 into 2.0
1.740 * [taylor]: Taking taylor expansion of i in beta
1.740 * [backup-simplify]: Simplify i into i
1.740 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.740 * [taylor]: Taking taylor expansion of beta in beta
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify 1 into 1
1.740 * [taylor]: Taking taylor expansion of 2.0 in beta
1.740 * [backup-simplify]: Simplify 2.0 into 2.0
1.740 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.740 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.740 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.740 * [backup-simplify]: Simplify (* 1 1) into 1
1.740 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.740 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.741 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.741 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.741 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
1.741 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.741 * [taylor]: Taking taylor expansion of 4.0 in beta
1.741 * [backup-simplify]: Simplify 4.0 into 4.0
1.741 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.741 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.741 * [taylor]: Taking taylor expansion of i in beta
1.741 * [backup-simplify]: Simplify i into i
1.741 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.741 * [taylor]: Taking taylor expansion of beta in beta
1.741 * [backup-simplify]: Simplify 0 into 0
1.741 * [backup-simplify]: Simplify 1 into 1
1.741 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.741 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.741 * [taylor]: Taking taylor expansion of 2.0 in beta
1.741 * [backup-simplify]: Simplify 2.0 into 2.0
1.741 * [taylor]: Taking taylor expansion of i in beta
1.741 * [backup-simplify]: Simplify i into i
1.741 * [taylor]: Taking taylor expansion of beta in beta
1.741 * [backup-simplify]: Simplify 0 into 0
1.741 * [backup-simplify]: Simplify 1 into 1
1.741 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.741 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.741 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.742 * [taylor]: Taking taylor expansion of 2.0 in beta
1.742 * [backup-simplify]: Simplify 2.0 into 2.0
1.742 * [taylor]: Taking taylor expansion of i in beta
1.742 * [backup-simplify]: Simplify i into i
1.742 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.742 * [taylor]: Taking taylor expansion of beta in beta
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 1 into 1
1.742 * [taylor]: Taking taylor expansion of 2.0 in beta
1.742 * [backup-simplify]: Simplify 2.0 into 2.0
1.742 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.742 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.742 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.742 * [backup-simplify]: Simplify (* 1 1) into 1
1.742 * [backup-simplify]: Simplify (* i 1) into i
1.742 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.742 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.743 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.743 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
1.743 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.743 * [taylor]: Taking taylor expansion of 2 in beta
1.743 * [backup-simplify]: Simplify 2 into 2
1.743 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.743 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.743 * [taylor]: Taking taylor expansion of beta in beta
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 1 into 1
1.743 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.743 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.743 * [taylor]: Taking taylor expansion of 2.0 in beta
1.743 * [backup-simplify]: Simplify 2.0 into 2.0
1.743 * [taylor]: Taking taylor expansion of i in beta
1.743 * [backup-simplify]: Simplify i into i
1.743 * [taylor]: Taking taylor expansion of beta in beta
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 1 into 1
1.743 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.743 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.743 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.743 * [taylor]: Taking taylor expansion of 2.0 in beta
1.743 * [backup-simplify]: Simplify 2.0 into 2.0
1.743 * [taylor]: Taking taylor expansion of i in beta
1.743 * [backup-simplify]: Simplify i into i
1.743 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.743 * [taylor]: Taking taylor expansion of beta in beta
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 1 into 1
1.743 * [taylor]: Taking taylor expansion of 2.0 in beta
1.744 * [backup-simplify]: Simplify 2.0 into 2.0
1.744 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.744 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.744 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.744 * [backup-simplify]: Simplify (* 1 1) into 1
1.744 * [backup-simplify]: Simplify (* 1 1) into 1
1.744 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.745 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.745 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.745 * [backup-simplify]: Simplify (- 0) into 0
1.745 * [backup-simplify]: Simplify (+ 0 0) into 0
1.746 * [backup-simplify]: Simplify (+ 0 0) into 0
1.746 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
1.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.748 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.748 * [backup-simplify]: Simplify (+ 0 0) into 0
1.748 * [backup-simplify]: Simplify (+ 0 0) into 0
1.749 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
1.756 * [backup-simplify]: Simplify (- (/ (- 1) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
1.756 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
1.756 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
1.756 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.756 * [taylor]: Taking taylor expansion of 8.0 in beta
1.756 * [backup-simplify]: Simplify 8.0 into 8.0
1.756 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.756 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.756 * [taylor]: Taking taylor expansion of beta in beta
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 1 into 1
1.756 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.756 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.756 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.756 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.756 * [taylor]: Taking taylor expansion of 2.0 in beta
1.756 * [backup-simplify]: Simplify 2.0 into 2.0
1.756 * [taylor]: Taking taylor expansion of i in beta
1.756 * [backup-simplify]: Simplify i into i
1.756 * [taylor]: Taking taylor expansion of beta in beta
1.756 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify 1 into 1
1.757 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.757 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.757 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.757 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.757 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.757 * [taylor]: Taking taylor expansion of 2.0 in beta
1.757 * [backup-simplify]: Simplify 2.0 into 2.0
1.757 * [taylor]: Taking taylor expansion of i in beta
1.757 * [backup-simplify]: Simplify i into i
1.757 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.757 * [taylor]: Taking taylor expansion of beta in beta
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify 1 into 1
1.757 * [taylor]: Taking taylor expansion of 2.0 in beta
1.757 * [backup-simplify]: Simplify 2.0 into 2.0
1.757 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.758 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.758 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.758 * [backup-simplify]: Simplify (* 1 1) into 1
1.758 * [backup-simplify]: Simplify (* 1 1) into 1
1.758 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.759 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.759 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.759 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.759 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.760 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.760 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
1.760 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.760 * [taylor]: Taking taylor expansion of 16.0 in beta
1.760 * [backup-simplify]: Simplify 16.0 into 16.0
1.760 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.760 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
1.760 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.760 * [taylor]: Taking taylor expansion of i in beta
1.760 * [backup-simplify]: Simplify i into i
1.760 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.760 * [taylor]: Taking taylor expansion of beta in beta
1.760 * [backup-simplify]: Simplify 0 into 0
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.760 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.760 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.760 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.760 * [taylor]: Taking taylor expansion of 2.0 in beta
1.760 * [backup-simplify]: Simplify 2.0 into 2.0
1.760 * [taylor]: Taking taylor expansion of i in beta
1.760 * [backup-simplify]: Simplify i into i
1.760 * [taylor]: Taking taylor expansion of beta in beta
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.761 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.761 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.761 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.761 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.761 * [taylor]: Taking taylor expansion of 2.0 in beta
1.761 * [backup-simplify]: Simplify 2.0 into 2.0
1.761 * [taylor]: Taking taylor expansion of i in beta
1.761 * [backup-simplify]: Simplify i into i
1.761 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.761 * [taylor]: Taking taylor expansion of beta in beta
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [taylor]: Taking taylor expansion of 2.0 in beta
1.761 * [backup-simplify]: Simplify 2.0 into 2.0
1.761 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.762 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.762 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.762 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.762 * [backup-simplify]: Simplify (* 1 1) into 1
1.762 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.762 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.762 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.763 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.763 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.763 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.764 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
1.764 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
1.764 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.764 * [taylor]: Taking taylor expansion of 4 in beta
1.764 * [backup-simplify]: Simplify 4 into 4
1.764 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.764 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.764 * [taylor]: Taking taylor expansion of beta in beta
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.764 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.764 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.764 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.764 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.764 * [taylor]: Taking taylor expansion of 2.0 in beta
1.764 * [backup-simplify]: Simplify 2.0 into 2.0
1.764 * [taylor]: Taking taylor expansion of i in beta
1.764 * [backup-simplify]: Simplify i into i
1.764 * [taylor]: Taking taylor expansion of beta in beta
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.764 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.764 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.764 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.764 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.764 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.764 * [taylor]: Taking taylor expansion of 2.0 in beta
1.765 * [backup-simplify]: Simplify 2.0 into 2.0
1.765 * [taylor]: Taking taylor expansion of i in beta
1.765 * [backup-simplify]: Simplify i into i
1.765 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.765 * [taylor]: Taking taylor expansion of beta in beta
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [taylor]: Taking taylor expansion of 2.0 in beta
1.765 * [backup-simplify]: Simplify 2.0 into 2.0
1.765 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.765 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.765 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.766 * [backup-simplify]: Simplify (* 1 1) into 1
1.766 * [backup-simplify]: Simplify (* 1 1) into 1
1.766 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.766 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.766 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.767 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.767 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.767 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.767 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
1.767 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.767 * [taylor]: Taking taylor expansion of 16.0 in beta
1.768 * [backup-simplify]: Simplify 16.0 into 16.0
1.768 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.768 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
1.768 * [taylor]: Taking taylor expansion of i in beta
1.768 * [backup-simplify]: Simplify i into i
1.768 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.768 * [taylor]: Taking taylor expansion of beta in beta
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.768 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.768 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.768 * [taylor]: Taking taylor expansion of 2.0 in beta
1.768 * [backup-simplify]: Simplify 2.0 into 2.0
1.768 * [taylor]: Taking taylor expansion of i in beta
1.768 * [backup-simplify]: Simplify i into i
1.768 * [taylor]: Taking taylor expansion of beta in beta
1.768 * [backup-simplify]: Simplify 0 into 0
1.768 * [backup-simplify]: Simplify 1 into 1
1.768 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.768 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.768 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.768 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.768 * [taylor]: Taking taylor expansion of 2.0 in beta
1.768 * [backup-simplify]: Simplify 2.0 into 2.0
1.768 * [taylor]: Taking taylor expansion of i in beta
1.768 * [backup-simplify]: Simplify i into i
1.768 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.768 * [taylor]: Taking taylor expansion of beta in beta
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 1 into 1
1.769 * [taylor]: Taking taylor expansion of 2.0 in beta
1.769 * [backup-simplify]: Simplify 2.0 into 2.0
1.769 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.769 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.769 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.769 * [backup-simplify]: Simplify (* 1 1) into 1
1.770 * [backup-simplify]: Simplify (* 1 1) into 1
1.770 * [backup-simplify]: Simplify (* i 1) into i
1.770 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.770 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.770 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.771 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.771 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.771 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
1.771 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
1.771 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.771 * [taylor]: Taking taylor expansion of 16.0 in beta
1.771 * [backup-simplify]: Simplify 16.0 into 16.0
1.771 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.771 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.771 * [taylor]: Taking taylor expansion of i in beta
1.771 * [backup-simplify]: Simplify i into i
1.771 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.771 * [taylor]: Taking taylor expansion of beta in beta
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.772 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.772 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.772 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.772 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.772 * [taylor]: Taking taylor expansion of 2.0 in beta
1.772 * [backup-simplify]: Simplify 2.0 into 2.0
1.772 * [taylor]: Taking taylor expansion of i in beta
1.772 * [backup-simplify]: Simplify i into i
1.772 * [taylor]: Taking taylor expansion of beta in beta
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.772 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.772 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.772 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.772 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.772 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.772 * [taylor]: Taking taylor expansion of 2.0 in beta
1.772 * [backup-simplify]: Simplify 2.0 into 2.0
1.772 * [taylor]: Taking taylor expansion of i in beta
1.772 * [backup-simplify]: Simplify i into i
1.772 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.772 * [taylor]: Taking taylor expansion of beta in beta
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.772 * [taylor]: Taking taylor expansion of 2.0 in beta
1.772 * [backup-simplify]: Simplify 2.0 into 2.0
1.772 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.773 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.773 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.773 * [backup-simplify]: Simplify (* 1 1) into 1
1.773 * [backup-simplify]: Simplify (* i 1) into i
1.773 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.774 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.774 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.774 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.774 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.775 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
1.775 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.775 * [taylor]: Taking taylor expansion of 4.0 in beta
1.775 * [backup-simplify]: Simplify 4.0 into 4.0
1.775 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.775 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.775 * [taylor]: Taking taylor expansion of beta in beta
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify 1 into 1
1.775 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.775 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.775 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.775 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.775 * [taylor]: Taking taylor expansion of 2.0 in beta
1.775 * [backup-simplify]: Simplify 2.0 into 2.0
1.775 * [taylor]: Taking taylor expansion of i in beta
1.775 * [backup-simplify]: Simplify i into i
1.775 * [taylor]: Taking taylor expansion of beta in beta
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify 1 into 1
1.775 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.775 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.775 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.775 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.775 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.775 * [taylor]: Taking taylor expansion of 2.0 in beta
1.775 * [backup-simplify]: Simplify 2.0 into 2.0
1.775 * [taylor]: Taking taylor expansion of i in beta
1.775 * [backup-simplify]: Simplify i into i
1.775 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.775 * [taylor]: Taking taylor expansion of beta in beta
1.775 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [taylor]: Taking taylor expansion of 2.0 in beta
1.776 * [backup-simplify]: Simplify 2.0 into 2.0
1.776 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.776 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.776 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.776 * [backup-simplify]: Simplify (* 1 1) into 1
1.777 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.777 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.777 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.777 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.777 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.778 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.778 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.778 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.778 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.778 * [taylor]: Taking taylor expansion of 2.0 in beta
1.778 * [backup-simplify]: Simplify 2.0 into 2.0
1.778 * [taylor]: Taking taylor expansion of i in beta
1.778 * [backup-simplify]: Simplify i into i
1.778 * [taylor]: Taking taylor expansion of beta in beta
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.778 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.778 * [taylor]: Taking taylor expansion of 2.0 in beta
1.778 * [backup-simplify]: Simplify 2.0 into 2.0
1.778 * [taylor]: Taking taylor expansion of i in beta
1.778 * [backup-simplify]: Simplify i into i
1.778 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.778 * [taylor]: Taking taylor expansion of beta in beta
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [taylor]: Taking taylor expansion of 2.0 in beta
1.778 * [backup-simplify]: Simplify 2.0 into 2.0
1.778 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.779 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.779 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.785 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.785 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.785 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.785 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.785 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.785 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.785 * [taylor]: Taking taylor expansion of beta in beta
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 1 into 1
1.785 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.785 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.785 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.785 * [taylor]: Taking taylor expansion of 2.0 in beta
1.785 * [backup-simplify]: Simplify 2.0 into 2.0
1.786 * [taylor]: Taking taylor expansion of i in beta
1.786 * [backup-simplify]: Simplify i into i
1.786 * [taylor]: Taking taylor expansion of beta in beta
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 1 into 1
1.786 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.786 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.786 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.786 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.786 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.786 * [taylor]: Taking taylor expansion of 2.0 in beta
1.786 * [backup-simplify]: Simplify 2.0 into 2.0
1.786 * [taylor]: Taking taylor expansion of i in beta
1.786 * [backup-simplify]: Simplify i into i
1.786 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.786 * [taylor]: Taking taylor expansion of beta in beta
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 1 into 1
1.786 * [taylor]: Taking taylor expansion of 2.0 in beta
1.786 * [backup-simplify]: Simplify 2.0 into 2.0
1.786 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.787 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.787 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.787 * [backup-simplify]: Simplify (* 1 1) into 1
1.788 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.788 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.788 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.788 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.789 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
1.789 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.789 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.789 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
1.789 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
1.789 * [taylor]: Taking taylor expansion of 0.5 in i
1.789 * [backup-simplify]: Simplify 0.5 into 0.5
1.789 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
1.789 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.789 * [taylor]: Taking taylor expansion of i in i
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.789 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.789 * [taylor]: Taking taylor expansion of 2.0 in i
1.789 * [backup-simplify]: Simplify 2.0 into 2.0
1.789 * [taylor]: Taking taylor expansion of i in i
1.789 * [backup-simplify]: Simplify 0 into 0
1.789 * [backup-simplify]: Simplify 1 into 1
1.789 * [taylor]: Taking taylor expansion of 2.0 in i
1.789 * [backup-simplify]: Simplify 2.0 into 2.0
1.790 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.790 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.791 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.792 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.792 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.794 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.794 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
1.795 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.795 * [backup-simplify]: Simplify (+ 0 0) into 0
1.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.799 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
1.801 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
1.802 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
1.802 * [backup-simplify]: Simplify 0.25 into 0.25
1.802 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
1.802 * [taylor]: Taking taylor expansion of 0.5 in i
1.802 * [backup-simplify]: Simplify 0.5 into 0.5
1.802 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.802 * [taylor]: Taking taylor expansion of i in i
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.802 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.802 * [taylor]: Taking taylor expansion of 2.0 in i
1.802 * [backup-simplify]: Simplify 2.0 into 2.0
1.802 * [taylor]: Taking taylor expansion of i in i
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [taylor]: Taking taylor expansion of 2.0 in i
1.802 * [backup-simplify]: Simplify 2.0 into 2.0
1.803 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.803 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.804 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.805 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.806 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.807 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.807 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
1.808 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.808 * [backup-simplify]: Simplify (+ 0 0) into 0
1.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.813 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
1.813 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
1.814 * [backup-simplify]: Simplify (- 0) into 0
1.814 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
1.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
1.818 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (+ 0 0) into 0
1.819 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
1.829 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))))
1.829 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))))) in beta
1.829 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
1.829 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.829 * [taylor]: Taking taylor expansion of 4 in beta
1.829 * [backup-simplify]: Simplify 4 into 4
1.829 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.829 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.829 * [taylor]: Taking taylor expansion of beta in beta
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 1 into 1
1.829 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.829 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.829 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.829 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.829 * [taylor]: Taking taylor expansion of 2.0 in beta
1.829 * [backup-simplify]: Simplify 2.0 into 2.0
1.829 * [taylor]: Taking taylor expansion of i in beta
1.829 * [backup-simplify]: Simplify i into i
1.829 * [taylor]: Taking taylor expansion of beta in beta
1.829 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify 1 into 1
1.829 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.829 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.829 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.829 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.829 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.829 * [taylor]: Taking taylor expansion of 2.0 in beta
1.830 * [backup-simplify]: Simplify 2.0 into 2.0
1.830 * [taylor]: Taking taylor expansion of i in beta
1.830 * [backup-simplify]: Simplify i into i
1.830 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.830 * [taylor]: Taking taylor expansion of beta in beta
1.830 * [backup-simplify]: Simplify 0 into 0
1.830 * [backup-simplify]: Simplify 1 into 1
1.830 * [taylor]: Taking taylor expansion of 2.0 in beta
1.830 * [backup-simplify]: Simplify 2.0 into 2.0
1.830 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.830 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.830 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.830 * [backup-simplify]: Simplify (* 1 1) into 1
1.831 * [backup-simplify]: Simplify (* 1 1) into 1
1.831 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.831 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.831 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.831 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.831 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.831 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.831 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
1.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
1.832 * [taylor]: Taking taylor expansion of 4.0 in beta
1.832 * [backup-simplify]: Simplify 4.0 into 4.0
1.832 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
1.832 * [taylor]: Taking taylor expansion of i in beta
1.832 * [backup-simplify]: Simplify i into i
1.832 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
1.832 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.832 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.832 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.832 * [taylor]: Taking taylor expansion of 2.0 in beta
1.832 * [backup-simplify]: Simplify 2.0 into 2.0
1.832 * [taylor]: Taking taylor expansion of i in beta
1.832 * [backup-simplify]: Simplify i into i
1.832 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.832 * [taylor]: Taking taylor expansion of beta in beta
1.832 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify 1 into 1
1.832 * [taylor]: Taking taylor expansion of 2.0 in beta
1.832 * [backup-simplify]: Simplify 2.0 into 2.0
1.832 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.832 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.832 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.832 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.832 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.832 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.832 * [taylor]: Taking taylor expansion of 2.0 in beta
1.832 * [backup-simplify]: Simplify 2.0 into 2.0
1.832 * [taylor]: Taking taylor expansion of i in beta
1.832 * [backup-simplify]: Simplify i into i
1.832 * [taylor]: Taking taylor expansion of beta in beta
1.832 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify 1 into 1
1.832 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.832 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.833 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.833 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.833 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
1.833 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
1.833 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
1.833 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.833 * [taylor]: Taking taylor expansion of 8.0 in beta
1.833 * [backup-simplify]: Simplify 8.0 into 8.0
1.833 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.833 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.833 * [taylor]: Taking taylor expansion of i in beta
1.833 * [backup-simplify]: Simplify i into i
1.833 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.833 * [taylor]: Taking taylor expansion of beta in beta
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.833 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.833 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.833 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.833 * [taylor]: Taking taylor expansion of 2.0 in beta
1.833 * [backup-simplify]: Simplify 2.0 into 2.0
1.833 * [taylor]: Taking taylor expansion of i in beta
1.833 * [backup-simplify]: Simplify i into i
1.833 * [taylor]: Taking taylor expansion of beta in beta
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.834 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.834 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.834 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.834 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.834 * [taylor]: Taking taylor expansion of 2.0 in beta
1.834 * [backup-simplify]: Simplify 2.0 into 2.0
1.834 * [taylor]: Taking taylor expansion of i in beta
1.834 * [backup-simplify]: Simplify i into i
1.834 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.834 * [taylor]: Taking taylor expansion of beta in beta
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 1 into 1
1.834 * [taylor]: Taking taylor expansion of 2.0 in beta
1.834 * [backup-simplify]: Simplify 2.0 into 2.0
1.834 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.834 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.834 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.834 * [backup-simplify]: Simplify (* 1 1) into 1
1.834 * [backup-simplify]: Simplify (* i 1) into i
1.834 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.835 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.835 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.835 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.835 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.835 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
1.835 * [taylor]: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
1.835 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.835 * [taylor]: Taking taylor expansion of 2 in beta
1.835 * [backup-simplify]: Simplify 2 into 2
1.835 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.835 * [taylor]: Taking taylor expansion of beta in beta
1.835 * [backup-simplify]: Simplify 0 into 0
1.835 * [backup-simplify]: Simplify 1 into 1
1.835 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.835 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.835 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.835 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.835 * [taylor]: Taking taylor expansion of 2.0 in beta
1.835 * [backup-simplify]: Simplify 2.0 into 2.0
1.835 * [taylor]: Taking taylor expansion of i in beta
1.835 * [backup-simplify]: Simplify i into i
1.836 * [taylor]: Taking taylor expansion of beta in beta
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 1 into 1
1.836 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.836 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.836 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.836 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.836 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.836 * [taylor]: Taking taylor expansion of 2.0 in beta
1.836 * [backup-simplify]: Simplify 2.0 into 2.0
1.836 * [taylor]: Taking taylor expansion of i in beta
1.836 * [backup-simplify]: Simplify i into i
1.836 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.836 * [taylor]: Taking taylor expansion of beta in beta
1.836 * [backup-simplify]: Simplify 0 into 0
1.836 * [backup-simplify]: Simplify 1 into 1
1.836 * [taylor]: Taking taylor expansion of 2.0 in beta
1.836 * [backup-simplify]: Simplify 2.0 into 2.0
1.836 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.836 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.836 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.836 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.836 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.837 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.837 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.837 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
1.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.837 * [taylor]: Taking taylor expansion of 2.0 in beta
1.837 * [backup-simplify]: Simplify 2.0 into 2.0
1.837 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.837 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.837 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.837 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.837 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.837 * [taylor]: Taking taylor expansion of 2.0 in beta
1.837 * [backup-simplify]: Simplify 2.0 into 2.0
1.837 * [taylor]: Taking taylor expansion of i in beta
1.837 * [backup-simplify]: Simplify i into i
1.837 * [taylor]: Taking taylor expansion of beta in beta
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 1 into 1
1.837 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.837 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.837 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.837 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.837 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.837 * [taylor]: Taking taylor expansion of 2.0 in beta
1.837 * [backup-simplify]: Simplify 2.0 into 2.0
1.837 * [taylor]: Taking taylor expansion of i in beta
1.837 * [backup-simplify]: Simplify i into i
1.837 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.837 * [taylor]: Taking taylor expansion of beta in beta
1.837 * [backup-simplify]: Simplify 0 into 0
1.837 * [backup-simplify]: Simplify 1 into 1
1.837 * [taylor]: Taking taylor expansion of 2.0 in beta
1.837 * [backup-simplify]: Simplify 2.0 into 2.0
1.837 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.838 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.838 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.838 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.838 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.838 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.838 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.838 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
1.838 * [taylor]: Taking taylor expansion of 4.0 in beta
1.838 * [backup-simplify]: Simplify 4.0 into 4.0
1.838 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.838 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.838 * [taylor]: Taking taylor expansion of beta in beta
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify 1 into 1
1.838 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.839 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.839 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.839 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.839 * [taylor]: Taking taylor expansion of 2.0 in beta
1.839 * [backup-simplify]: Simplify 2.0 into 2.0
1.839 * [taylor]: Taking taylor expansion of i in beta
1.839 * [backup-simplify]: Simplify i into i
1.839 * [taylor]: Taking taylor expansion of beta in beta
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.839 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.839 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.839 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.839 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.839 * [taylor]: Taking taylor expansion of 2.0 in beta
1.839 * [backup-simplify]: Simplify 2.0 into 2.0
1.839 * [taylor]: Taking taylor expansion of i in beta
1.839 * [backup-simplify]: Simplify i into i
1.839 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.839 * [taylor]: Taking taylor expansion of beta in beta
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [taylor]: Taking taylor expansion of 2.0 in beta
1.839 * [backup-simplify]: Simplify 2.0 into 2.0
1.839 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.839 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.839 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.840 * [backup-simplify]: Simplify (* 1 1) into 1
1.840 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.840 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.840 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.840 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.840 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.840 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
1.840 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))) in beta
1.841 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.841 * [taylor]: Taking taylor expansion of 48.0 in beta
1.841 * [backup-simplify]: Simplify 48.0 into 48.0
1.841 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.841 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
1.841 * [taylor]: Taking taylor expansion of i in beta
1.841 * [backup-simplify]: Simplify i into i
1.841 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.841 * [taylor]: Taking taylor expansion of beta in beta
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.841 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.841 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.841 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.841 * [taylor]: Taking taylor expansion of 2.0 in beta
1.841 * [backup-simplify]: Simplify 2.0 into 2.0
1.841 * [taylor]: Taking taylor expansion of i in beta
1.841 * [backup-simplify]: Simplify i into i
1.841 * [taylor]: Taking taylor expansion of beta in beta
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.841 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.841 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.841 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.841 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.841 * [taylor]: Taking taylor expansion of 2.0 in beta
1.841 * [backup-simplify]: Simplify 2.0 into 2.0
1.841 * [taylor]: Taking taylor expansion of i in beta
1.841 * [backup-simplify]: Simplify i into i
1.841 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.841 * [taylor]: Taking taylor expansion of beta in beta
1.841 * [backup-simplify]: Simplify 0 into 0
1.841 * [backup-simplify]: Simplify 1 into 1
1.841 * [taylor]: Taking taylor expansion of 2.0 in beta
1.841 * [backup-simplify]: Simplify 2.0 into 2.0
1.841 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.842 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.842 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.842 * [backup-simplify]: Simplify (* 1 1) into 1
1.843 * [backup-simplify]: Simplify (* 1 1) into 1
1.843 * [backup-simplify]: Simplify (* i 1) into i
1.843 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.843 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.843 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.843 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.844 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.844 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
1.844 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))) in beta
1.844 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.844 * [taylor]: Taking taylor expansion of 24.0 in beta
1.844 * [backup-simplify]: Simplify 24.0 into 24.0
1.844 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.844 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.844 * [taylor]: Taking taylor expansion of beta in beta
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify 1 into 1
1.844 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.844 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.845 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.845 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.845 * [taylor]: Taking taylor expansion of 2.0 in beta
1.845 * [backup-simplify]: Simplify 2.0 into 2.0
1.845 * [taylor]: Taking taylor expansion of i in beta
1.845 * [backup-simplify]: Simplify i into i
1.845 * [taylor]: Taking taylor expansion of beta in beta
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify 1 into 1
1.845 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.845 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.845 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.845 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.845 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.845 * [taylor]: Taking taylor expansion of 2.0 in beta
1.845 * [backup-simplify]: Simplify 2.0 into 2.0
1.845 * [taylor]: Taking taylor expansion of i in beta
1.845 * [backup-simplify]: Simplify i into i
1.845 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.845 * [taylor]: Taking taylor expansion of beta in beta
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify 1 into 1
1.845 * [taylor]: Taking taylor expansion of 2.0 in beta
1.845 * [backup-simplify]: Simplify 2.0 into 2.0
1.845 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.846 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.846 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.846 * [backup-simplify]: Simplify (* 1 1) into 1
1.846 * [backup-simplify]: Simplify (* 1 1) into 1
1.847 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.847 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.847 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.847 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.847 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.848 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.848 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))) in beta
1.848 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.848 * [taylor]: Taking taylor expansion of 96.0 in beta
1.848 * [backup-simplify]: Simplify 96.0 into 96.0
1.848 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.848 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
1.848 * [taylor]: Taking taylor expansion of i in beta
1.848 * [backup-simplify]: Simplify i into i
1.848 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.848 * [taylor]: Taking taylor expansion of beta in beta
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify 1 into 1
1.848 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.848 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.848 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.848 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.848 * [taylor]: Taking taylor expansion of 2.0 in beta
1.848 * [backup-simplify]: Simplify 2.0 into 2.0
1.848 * [taylor]: Taking taylor expansion of i in beta
1.848 * [backup-simplify]: Simplify i into i
1.848 * [taylor]: Taking taylor expansion of beta in beta
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.849 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.849 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.849 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.849 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.849 * [taylor]: Taking taylor expansion of 2.0 in beta
1.849 * [backup-simplify]: Simplify 2.0 into 2.0
1.849 * [taylor]: Taking taylor expansion of i in beta
1.849 * [backup-simplify]: Simplify i into i
1.849 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.849 * [taylor]: Taking taylor expansion of beta in beta
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.849 * [taylor]: Taking taylor expansion of 2.0 in beta
1.849 * [backup-simplify]: Simplify 2.0 into 2.0
1.849 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.849 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.850 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.850 * [backup-simplify]: Simplify (* 1 1) into 1
1.850 * [backup-simplify]: Simplify (* 1 1) into 1
1.850 * [backup-simplify]: Simplify (* i 1) into i
1.850 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.851 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.851 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.851 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.851 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.852 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
1.852 * [taylor]: Taking taylor expansion of (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))) in beta
1.852 * [taylor]: Taking taylor expansion of (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.852 * [taylor]: Taking taylor expansion of 8 in beta
1.852 * [backup-simplify]: Simplify 8 into 8
1.852 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.852 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
1.852 * [taylor]: Taking taylor expansion of beta in beta
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.852 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.852 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.852 * [taylor]: Taking taylor expansion of 2.0 in beta
1.852 * [backup-simplify]: Simplify 2.0 into 2.0
1.852 * [taylor]: Taking taylor expansion of i in beta
1.852 * [backup-simplify]: Simplify i into i
1.852 * [taylor]: Taking taylor expansion of beta in beta
1.852 * [backup-simplify]: Simplify 0 into 0
1.852 * [backup-simplify]: Simplify 1 into 1
1.852 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.852 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.852 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.853 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.853 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.853 * [taylor]: Taking taylor expansion of 2.0 in beta
1.853 * [backup-simplify]: Simplify 2.0 into 2.0
1.853 * [taylor]: Taking taylor expansion of i in beta
1.853 * [backup-simplify]: Simplify i into i
1.853 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.853 * [taylor]: Taking taylor expansion of beta in beta
1.853 * [backup-simplify]: Simplify 0 into 0
1.853 * [backup-simplify]: Simplify 1 into 1
1.853 * [taylor]: Taking taylor expansion of 2.0 in beta
1.853 * [backup-simplify]: Simplify 2.0 into 2.0
1.853 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.853 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.853 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.854 * [backup-simplify]: Simplify (* 1 1) into 1
1.854 * [backup-simplify]: Simplify (* 1 1) into 1
1.854 * [backup-simplify]: Simplify (* 1 1) into 1
1.855 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.855 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.855 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.855 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.856 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.856 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.856 * [taylor]: Taking taylor expansion of (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))) in beta
1.856 * [taylor]: Taking taylor expansion of (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.856 * [taylor]: Taking taylor expansion of 64.0 in beta
1.856 * [backup-simplify]: Simplify 64.0 into 64.0
1.856 * [taylor]: Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.856 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
1.856 * [taylor]: Taking taylor expansion of (pow i 3) in beta
1.856 * [taylor]: Taking taylor expansion of i in beta
1.856 * [backup-simplify]: Simplify i into i
1.856 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.856 * [taylor]: Taking taylor expansion of beta in beta
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 1 into 1
1.856 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.856 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.856 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.856 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.856 * [taylor]: Taking taylor expansion of 2.0 in beta
1.857 * [backup-simplify]: Simplify 2.0 into 2.0
1.857 * [taylor]: Taking taylor expansion of i in beta
1.857 * [backup-simplify]: Simplify i into i
1.857 * [taylor]: Taking taylor expansion of beta in beta
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.857 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.857 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.857 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.857 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.857 * [taylor]: Taking taylor expansion of 2.0 in beta
1.857 * [backup-simplify]: Simplify 2.0 into 2.0
1.857 * [taylor]: Taking taylor expansion of i in beta
1.857 * [backup-simplify]: Simplify i into i
1.857 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.857 * [taylor]: Taking taylor expansion of beta in beta
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [taylor]: Taking taylor expansion of 2.0 in beta
1.857 * [backup-simplify]: Simplify 2.0 into 2.0
1.857 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.857 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.857 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.857 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.857 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
1.858 * [backup-simplify]: Simplify (* 1 1) into 1
1.858 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
1.858 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.858 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.858 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.858 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.858 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.859 * [backup-simplify]: Simplify (/ (pow i 3) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* i (pow (+ (* 2.0 i) 2.0) 4)))
1.859 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))) in beta
1.859 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.859 * [taylor]: Taking taylor expansion of 96.0 in beta
1.859 * [backup-simplify]: Simplify 96.0 into 96.0
1.859 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.859 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
1.859 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.859 * [taylor]: Taking taylor expansion of i in beta
1.859 * [backup-simplify]: Simplify i into i
1.859 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.859 * [taylor]: Taking taylor expansion of beta in beta
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.859 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.859 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.859 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.859 * [taylor]: Taking taylor expansion of 2.0 in beta
1.859 * [backup-simplify]: Simplify 2.0 into 2.0
1.859 * [taylor]: Taking taylor expansion of i in beta
1.859 * [backup-simplify]: Simplify i into i
1.859 * [taylor]: Taking taylor expansion of beta in beta
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.859 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.859 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.859 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.859 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.859 * [taylor]: Taking taylor expansion of 2.0 in beta
1.859 * [backup-simplify]: Simplify 2.0 into 2.0
1.859 * [taylor]: Taking taylor expansion of i in beta
1.859 * [backup-simplify]: Simplify i into i
1.859 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.859 * [taylor]: Taking taylor expansion of beta in beta
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [taylor]: Taking taylor expansion of 2.0 in beta
1.859 * [backup-simplify]: Simplify 2.0 into 2.0
1.859 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.860 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.860 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.860 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.860 * [backup-simplify]: Simplify (* 1 1) into 1
1.860 * [backup-simplify]: Simplify (* 1 1) into 1
1.860 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.861 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.861 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.861 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.861 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.861 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.862 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
1.862 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))) in beta
1.862 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.862 * [taylor]: Taking taylor expansion of 24.0 in beta
1.862 * [backup-simplify]: Simplify 24.0 into 24.0
1.862 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.862 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.862 * [taylor]: Taking taylor expansion of beta in beta
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.862 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.862 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.862 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.862 * [taylor]: Taking taylor expansion of 2.0 in beta
1.862 * [backup-simplify]: Simplify 2.0 into 2.0
1.862 * [taylor]: Taking taylor expansion of i in beta
1.862 * [backup-simplify]: Simplify i into i
1.862 * [taylor]: Taking taylor expansion of beta in beta
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.862 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.862 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.862 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.862 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.862 * [taylor]: Taking taylor expansion of 2.0 in beta
1.862 * [backup-simplify]: Simplify 2.0 into 2.0
1.862 * [taylor]: Taking taylor expansion of i in beta
1.862 * [backup-simplify]: Simplify i into i
1.862 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.862 * [taylor]: Taking taylor expansion of beta in beta
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [taylor]: Taking taylor expansion of 2.0 in beta
1.862 * [backup-simplify]: Simplify 2.0 into 2.0
1.862 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.863 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.863 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.863 * [backup-simplify]: Simplify (* 1 1) into 1
1.863 * [backup-simplify]: Simplify (* 1 1) into 1
1.863 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.863 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.863 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.864 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.864 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.864 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.864 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))) in beta
1.864 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.864 * [taylor]: Taking taylor expansion of 8.0 in beta
1.864 * [backup-simplify]: Simplify 8.0 into 8.0
1.864 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.864 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.864 * [taylor]: Taking taylor expansion of beta in beta
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 1 into 1
1.864 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.864 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.864 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.864 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.864 * [taylor]: Taking taylor expansion of 2.0 in beta
1.864 * [backup-simplify]: Simplify 2.0 into 2.0
1.864 * [taylor]: Taking taylor expansion of i in beta
1.864 * [backup-simplify]: Simplify i into i
1.864 * [taylor]: Taking taylor expansion of beta in beta
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 1 into 1
1.864 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.864 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.864 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.865 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.865 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.865 * [taylor]: Taking taylor expansion of 2.0 in beta
1.865 * [backup-simplify]: Simplify 2.0 into 2.0
1.865 * [taylor]: Taking taylor expansion of i in beta
1.865 * [backup-simplify]: Simplify i into i
1.865 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.865 * [taylor]: Taking taylor expansion of beta in beta
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [taylor]: Taking taylor expansion of 2.0 in beta
1.865 * [backup-simplify]: Simplify 2.0 into 2.0
1.865 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.865 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.865 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.865 * [backup-simplify]: Simplify (* 1 1) into 1
1.865 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.866 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.866 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.866 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.866 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.866 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.866 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))) in beta
1.866 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.866 * [taylor]: Taking taylor expansion of 48.0 in beta
1.866 * [backup-simplify]: Simplify 48.0 into 48.0
1.866 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.866 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.866 * [taylor]: Taking taylor expansion of i in beta
1.866 * [backup-simplify]: Simplify i into i
1.866 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.866 * [taylor]: Taking taylor expansion of beta in beta
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.867 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.867 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.867 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.867 * [taylor]: Taking taylor expansion of 2.0 in beta
1.867 * [backup-simplify]: Simplify 2.0 into 2.0
1.867 * [taylor]: Taking taylor expansion of i in beta
1.867 * [backup-simplify]: Simplify i into i
1.867 * [taylor]: Taking taylor expansion of beta in beta
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.867 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.867 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.867 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.867 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.867 * [taylor]: Taking taylor expansion of 2.0 in beta
1.867 * [backup-simplify]: Simplify 2.0 into 2.0
1.867 * [taylor]: Taking taylor expansion of i in beta
1.867 * [backup-simplify]: Simplify i into i
1.867 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.867 * [taylor]: Taking taylor expansion of beta in beta
1.867 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify 1 into 1
1.867 * [taylor]: Taking taylor expansion of 2.0 in beta
1.867 * [backup-simplify]: Simplify 2.0 into 2.0
1.867 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.867 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.867 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.868 * [backup-simplify]: Simplify (* 1 1) into 1
1.868 * [backup-simplify]: Simplify (* i 1) into i
1.868 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.868 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.868 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.868 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.868 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.869 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
1.869 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
1.869 * [taylor]: Taking taylor expansion of 96.0 in beta
1.869 * [backup-simplify]: Simplify 96.0 into 96.0
1.869 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.869 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
1.869 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.869 * [taylor]: Taking taylor expansion of i in beta
1.869 * [backup-simplify]: Simplify i into i
1.869 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.869 * [taylor]: Taking taylor expansion of beta in beta
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 1 into 1
1.869 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.869 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.869 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.869 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.869 * [taylor]: Taking taylor expansion of 2.0 in beta
1.869 * [backup-simplify]: Simplify 2.0 into 2.0
1.869 * [taylor]: Taking taylor expansion of i in beta
1.869 * [backup-simplify]: Simplify i into i
1.869 * [taylor]: Taking taylor expansion of beta in beta
1.869 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.870 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.870 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.870 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.870 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.870 * [taylor]: Taking taylor expansion of 2.0 in beta
1.870 * [backup-simplify]: Simplify 2.0 into 2.0
1.870 * [taylor]: Taking taylor expansion of i in beta
1.870 * [backup-simplify]: Simplify i into i
1.870 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.870 * [taylor]: Taking taylor expansion of beta in beta
1.870 * [backup-simplify]: Simplify 0 into 0
1.870 * [backup-simplify]: Simplify 1 into 1
1.870 * [taylor]: Taking taylor expansion of 2.0 in beta
1.870 * [backup-simplify]: Simplify 2.0 into 2.0
1.870 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.871 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.871 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.871 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.872 * [backup-simplify]: Simplify (* 1 1) into 1
1.872 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.872 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.872 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.872 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.873 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
1.873 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
1.873 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
1.874 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
1.874 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
1.874 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) 0) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
1.875 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
1.875 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
1.876 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
1.877 * [backup-simplify]: Simplify (+ 0 (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
1.877 * [backup-simplify]: Simplify (+ (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) 0) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
1.877 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) in i
1.877 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
1.877 * [taylor]: Taking taylor expansion of 0.5 in i
1.878 * [backup-simplify]: Simplify 0.5 into 0.5
1.878 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
1.878 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
1.878 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.878 * [taylor]: Taking taylor expansion of i in i
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 1 into 1
1.878 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
1.878 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.878 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.878 * [taylor]: Taking taylor expansion of 2.0 in i
1.878 * [backup-simplify]: Simplify 2.0 into 2.0
1.878 * [taylor]: Taking taylor expansion of i in i
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 1 into 1
1.878 * [taylor]: Taking taylor expansion of 2.0 in i
1.878 * [backup-simplify]: Simplify 2.0 into 2.0
1.878 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.879 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.879 * [backup-simplify]: Simplify (* 1 1) into 1
1.880 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.880 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
1.880 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
1.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
1.880 * [taylor]: Taking taylor expansion of 1.0 in i
1.880 * [backup-simplify]: Simplify 1.0 into 1.0
1.880 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
1.880 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
1.880 * [taylor]: Taking taylor expansion of i in i
1.880 * [backup-simplify]: Simplify 0 into 0
1.881 * [backup-simplify]: Simplify 1 into 1
1.881 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
1.881 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.881 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.881 * [taylor]: Taking taylor expansion of 2.0 in i
1.881 * [backup-simplify]: Simplify 2.0 into 2.0
1.881 * [taylor]: Taking taylor expansion of i in i
1.881 * [backup-simplify]: Simplify 0 into 0
1.881 * [backup-simplify]: Simplify 1 into 1
1.881 * [taylor]: Taking taylor expansion of 2.0 in i
1.881 * [backup-simplify]: Simplify 2.0 into 2.0
1.881 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.882 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.882 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.882 * [backup-simplify]: Simplify (* 0 4.0) into 0
1.884 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.884 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.885 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
1.886 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
1.887 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
1.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.888 * [backup-simplify]: Simplify (+ 0 0) into 0
1.889 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.890 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.892 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
1.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.894 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
1.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.897 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
1.898 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
1.901 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
1.905 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
1.907 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
1.908 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.915 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
1.917 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
1.918 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
1.919 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
1.920 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
1.920 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
1.921 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (* 0.25 (pow (* 1 (* 1 alpha)) 2)))) into (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
1.921 * [backup-simplify]: Simplify (/ (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
1.922 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
1.922 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
1.922 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.922 * [taylor]: Taking taylor expansion of alpha in i
1.922 * [backup-simplify]: Simplify alpha into alpha
1.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.922 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.922 * [taylor]: Taking taylor expansion of beta in i
1.922 * [backup-simplify]: Simplify beta into beta
1.922 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.922 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
1.922 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.922 * [taylor]: Taking taylor expansion of beta in i
1.922 * [backup-simplify]: Simplify beta into beta
1.922 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.922 * [taylor]: Taking taylor expansion of alpha in i
1.922 * [backup-simplify]: Simplify alpha into alpha
1.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.922 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
1.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.922 * [taylor]: Taking taylor expansion of alpha in i
1.922 * [backup-simplify]: Simplify alpha into alpha
1.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.922 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
1.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.922 * [taylor]: Taking taylor expansion of 2.0 in i
1.922 * [backup-simplify]: Simplify 2.0 into 2.0
1.922 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.922 * [taylor]: Taking taylor expansion of i in i
1.922 * [backup-simplify]: Simplify 0 into 0
1.922 * [backup-simplify]: Simplify 1 into 1
1.922 * [backup-simplify]: Simplify (/ 1 1) into 1
1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
1.923 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.923 * [taylor]: Taking taylor expansion of beta in i
1.923 * [backup-simplify]: Simplify beta into beta
1.923 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.923 * [taylor]: Taking taylor expansion of 2.0 in i
1.923 * [backup-simplify]: Simplify 2.0 into 2.0
1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.923 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.923 * [taylor]: Taking taylor expansion of alpha in i
1.923 * [backup-simplify]: Simplify alpha into alpha
1.923 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.923 * [taylor]: Taking taylor expansion of 2.0 in i
1.923 * [backup-simplify]: Simplify 2.0 into 2.0
1.923 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.923 * [taylor]: Taking taylor expansion of i in i
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify 1 into 1
1.923 * [backup-simplify]: Simplify (/ 1 1) into 1
1.923 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.923 * [taylor]: Taking taylor expansion of beta in i
1.923 * [backup-simplify]: Simplify beta into beta
1.923 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.923 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.923 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
1.923 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
1.924 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
1.924 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.924 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.924 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.925 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.925 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.925 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.926 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.926 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
1.926 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
1.926 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.926 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.926 * [taylor]: Taking taylor expansion of alpha in beta
1.926 * [backup-simplify]: Simplify alpha into alpha
1.926 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.926 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.926 * [taylor]: Taking taylor expansion of beta in beta
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.926 * [backup-simplify]: Simplify (/ 1 1) into 1
1.926 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
1.926 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.926 * [taylor]: Taking taylor expansion of beta in beta
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 1 into 1
1.927 * [backup-simplify]: Simplify (/ 1 1) into 1
1.927 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.927 * [taylor]: Taking taylor expansion of alpha in beta
1.927 * [backup-simplify]: Simplify alpha into alpha
1.927 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
1.927 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.927 * [taylor]: Taking taylor expansion of alpha in beta
1.927 * [backup-simplify]: Simplify alpha into alpha
1.927 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
1.927 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.927 * [taylor]: Taking taylor expansion of 2.0 in beta
1.927 * [backup-simplify]: Simplify 2.0 into 2.0
1.927 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.927 * [taylor]: Taking taylor expansion of i in beta
1.927 * [backup-simplify]: Simplify i into i
1.927 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
1.927 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.927 * [taylor]: Taking taylor expansion of beta in beta
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [backup-simplify]: Simplify (/ 1 1) into 1
1.927 * [taylor]: Taking taylor expansion of 2.0 in beta
1.927 * [backup-simplify]: Simplify 2.0 into 2.0
1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.927 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.927 * [taylor]: Taking taylor expansion of alpha in beta
1.927 * [backup-simplify]: Simplify alpha into alpha
1.927 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.927 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.928 * [taylor]: Taking taylor expansion of 2.0 in beta
1.928 * [backup-simplify]: Simplify 2.0 into 2.0
1.928 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.928 * [taylor]: Taking taylor expansion of i in beta
1.928 * [backup-simplify]: Simplify i into i
1.928 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.928 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.928 * [taylor]: Taking taylor expansion of beta in beta
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1.928 * [backup-simplify]: Simplify (+ 0 1) into 1
1.928 * [backup-simplify]: Simplify (+ 1 0) into 1
1.929 * [backup-simplify]: Simplify (* 1 1) into 1
1.929 * [backup-simplify]: Simplify (+ 1 0) into 1
1.929 * [backup-simplify]: Simplify (+ 0 1) into 1
1.929 * [backup-simplify]: Simplify (+ 0 1) into 1
1.930 * [backup-simplify]: Simplify (+ 0 1) into 1
1.930 * [backup-simplify]: Simplify (+ 0 1) into 1
1.930 * [backup-simplify]: Simplify (* 1 1) into 1
1.930 * [backup-simplify]: Simplify (/ 1 1) into 1
1.930 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
1.930 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.930 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.930 * [taylor]: Taking taylor expansion of alpha in alpha
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify (/ 1 1) into 1
1.931 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.931 * [taylor]: Taking taylor expansion of beta in alpha
1.931 * [backup-simplify]: Simplify beta into beta
1.931 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.931 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.931 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.931 * [taylor]: Taking taylor expansion of beta in alpha
1.931 * [backup-simplify]: Simplify beta into beta
1.931 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.931 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.931 * [taylor]: Taking taylor expansion of alpha in alpha
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify (/ 1 1) into 1
1.931 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.931 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.931 * [taylor]: Taking taylor expansion of alpha in alpha
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (/ 1 1) into 1
1.932 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.932 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.932 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.932 * [backup-simplify]: Simplify 2.0 into 2.0
1.932 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.932 * [taylor]: Taking taylor expansion of i in alpha
1.932 * [backup-simplify]: Simplify i into i
1.932 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.932 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.932 * [taylor]: Taking taylor expansion of beta in alpha
1.932 * [backup-simplify]: Simplify beta into beta
1.932 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.932 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.932 * [backup-simplify]: Simplify 2.0 into 2.0
1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.932 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.932 * [taylor]: Taking taylor expansion of alpha in alpha
1.932 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (/ 1 1) into 1
1.932 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.932 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.932 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.932 * [backup-simplify]: Simplify 2.0 into 2.0
1.932 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.932 * [taylor]: Taking taylor expansion of i in alpha
1.932 * [backup-simplify]: Simplify i into i
1.933 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.933 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.933 * [taylor]: Taking taylor expansion of beta in alpha
1.933 * [backup-simplify]: Simplify beta into beta
1.933 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.933 * [backup-simplify]: Simplify (+ 1 0) into 1
1.933 * [backup-simplify]: Simplify (- 1) into -1
1.933 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.934 * [backup-simplify]: Simplify (* 1 -1) into -1
1.934 * [backup-simplify]: Simplify (+ 1 0) into 1
1.934 * [backup-simplify]: Simplify (+ 1 0) into 1
1.934 * [backup-simplify]: Simplify (* 1 1) into 1
1.935 * [backup-simplify]: Simplify (/ -1 1) into -1
1.935 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
1.935 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.935 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.935 * [taylor]: Taking taylor expansion of alpha in alpha
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (/ 1 1) into 1
1.935 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.935 * [taylor]: Taking taylor expansion of beta in alpha
1.935 * [backup-simplify]: Simplify beta into beta
1.935 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.935 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.935 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.935 * [taylor]: Taking taylor expansion of beta in alpha
1.935 * [backup-simplify]: Simplify beta into beta
1.935 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.935 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.935 * [taylor]: Taking taylor expansion of alpha in alpha
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [backup-simplify]: Simplify (/ 1 1) into 1
1.936 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.936 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.936 * [taylor]: Taking taylor expansion of alpha in alpha
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 1 into 1
1.936 * [backup-simplify]: Simplify (/ 1 1) into 1
1.936 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.936 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.936 * [backup-simplify]: Simplify 2.0 into 2.0
1.936 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.936 * [taylor]: Taking taylor expansion of i in alpha
1.936 * [backup-simplify]: Simplify i into i
1.936 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.936 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.936 * [taylor]: Taking taylor expansion of beta in alpha
1.936 * [backup-simplify]: Simplify beta into beta
1.936 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.936 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.936 * [backup-simplify]: Simplify 2.0 into 2.0
1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.936 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.936 * [taylor]: Taking taylor expansion of alpha in alpha
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 1 into 1
1.936 * [backup-simplify]: Simplify (/ 1 1) into 1
1.937 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.937 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.937 * [backup-simplify]: Simplify 2.0 into 2.0
1.937 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.937 * [taylor]: Taking taylor expansion of i in alpha
1.937 * [backup-simplify]: Simplify i into i
1.937 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.937 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.937 * [taylor]: Taking taylor expansion of beta in alpha
1.937 * [backup-simplify]: Simplify beta into beta
1.937 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.937 * [backup-simplify]: Simplify (+ 1 0) into 1
1.937 * [backup-simplify]: Simplify (- 1) into -1
1.937 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.938 * [backup-simplify]: Simplify (* 1 -1) into -1
1.938 * [backup-simplify]: Simplify (+ 1 0) into 1
1.938 * [backup-simplify]: Simplify (+ 1 0) into 1
1.938 * [backup-simplify]: Simplify (* 1 1) into 1
1.939 * [backup-simplify]: Simplify (/ -1 1) into -1
1.939 * [taylor]: Taking taylor expansion of -1 in beta
1.939 * [backup-simplify]: Simplify -1 into -1
1.939 * [taylor]: Taking taylor expansion of -1 in i
1.939 * [backup-simplify]: Simplify -1 into -1
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify (- 0) into 0
1.940 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.940 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.941 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.941 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.941 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.941 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.941 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
1.942 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.942 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.942 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.942 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
1.942 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.942 * [taylor]: Taking taylor expansion of 4.0 in beta
1.942 * [backup-simplify]: Simplify 4.0 into 4.0
1.942 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.942 * [taylor]: Taking taylor expansion of i in beta
1.942 * [backup-simplify]: Simplify i into i
1.943 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.943 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
1.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.943 * [taylor]: Taking taylor expansion of 2 in beta
1.943 * [backup-simplify]: Simplify 2 into 2
1.943 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.943 * [taylor]: Taking taylor expansion of beta in beta
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (/ 1 1) into 1
1.943 * [taylor]: Taking taylor expansion of 2.0 in beta
1.943 * [backup-simplify]: Simplify 2.0 into 2.0
1.943 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.944 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
1.944 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
1.944 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.944 * [taylor]: Taking taylor expansion of 4.0 in i
1.944 * [backup-simplify]: Simplify 4.0 into 4.0
1.944 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.944 * [taylor]: Taking taylor expansion of i in i
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 1 into 1
1.945 * [backup-simplify]: Simplify (/ 1 1) into 1
1.945 * [taylor]: Taking taylor expansion of 2.0 in i
1.945 * [backup-simplify]: Simplify 2.0 into 2.0
1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.947 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [taylor]: Taking taylor expansion of 0 in i
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify (- 0) into 0
1.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.950 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [backup-simplify]: Simplify (+ 0 0) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.952 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.952 * [backup-simplify]: Simplify (+ 0 0) into 0
1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
1.954 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
1.955 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) in beta
1.955 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) in beta
1.955 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.955 * [taylor]: Taking taylor expansion of 2 in beta
1.955 * [backup-simplify]: Simplify 2 into 2
1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.955 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.955 * [taylor]: Taking taylor expansion of beta in beta
1.955 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.955 * [backup-simplify]: Simplify (/ 1 1) into 1
1.955 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))) in beta
1.955 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.955 * [taylor]: Taking taylor expansion of 12.0 in beta
1.956 * [backup-simplify]: Simplify 12.0 into 12.0
1.956 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.956 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.956 * [taylor]: Taking taylor expansion of i in beta
1.956 * [backup-simplify]: Simplify i into i
1.956 * [taylor]: Taking taylor expansion of beta in beta
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 1 into 1
1.956 * [backup-simplify]: Simplify (* i 0) into 0
1.956 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.956 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.956 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
1.956 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.956 * [taylor]: Taking taylor expansion of 12.0 in beta
1.956 * [backup-simplify]: Simplify 12.0 into 12.0
1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.956 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.956 * [taylor]: Taking taylor expansion of i in beta
1.956 * [backup-simplify]: Simplify i into i
1.956 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.956 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.956 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
1.956 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.956 * [taylor]: Taking taylor expansion of 12.0 in beta
1.956 * [backup-simplify]: Simplify 12.0 into 12.0
1.956 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.956 * [taylor]: Taking taylor expansion of i in beta
1.956 * [backup-simplify]: Simplify i into i
1.956 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.956 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
1.956 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
1.956 * [taylor]: Taking taylor expansion of 6.0 in beta
1.957 * [backup-simplify]: Simplify 6.0 into 6.0
1.957 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.957 * [taylor]: Taking taylor expansion of beta in beta
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 1 into 1
1.957 * [backup-simplify]: Simplify (/ 1 1) into 1
1.957 * [taylor]: Taking taylor expansion of 4.0 in beta
1.957 * [backup-simplify]: Simplify 4.0 into 4.0
1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.960 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.960 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.960 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.960 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.961 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.961 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
1.961 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
1.962 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
1.962 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
1.962 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
1.962 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
1.962 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
1.962 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.962 * [taylor]: Taking taylor expansion of 12.0 in i
1.962 * [backup-simplify]: Simplify 12.0 into 12.0
1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.962 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.962 * [taylor]: Taking taylor expansion of i in i
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (* 1 1) into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
1.963 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.963 * [taylor]: Taking taylor expansion of 12.0 in i
1.963 * [backup-simplify]: Simplify 12.0 into 12.0
1.963 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.963 * [taylor]: Taking taylor expansion of i in i
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [taylor]: Taking taylor expansion of 4.0 in i
1.963 * [backup-simplify]: Simplify 4.0 into 4.0
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.971 * [backup-simplify]: Simplify (+ 0 0) into 0
1.971 * [backup-simplify]: Simplify (- 0) into 0
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.972 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.973 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [taylor]: Taking taylor expansion of 0 in i
1.973 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify 0 into 0
1.974 * [backup-simplify]: Simplify (/ (/ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (- (/ 1 (- beta)) (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
1.975 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
1.975 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
1.975 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
1.975 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
1.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.975 * [taylor]: Taking taylor expansion of alpha in i
1.975 * [backup-simplify]: Simplify alpha into alpha
1.975 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.975 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.975 * [taylor]: Taking taylor expansion of beta in i
1.975 * [backup-simplify]: Simplify beta into beta
1.975 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.975 * [taylor]: Taking taylor expansion of alpha in i
1.975 * [backup-simplify]: Simplify alpha into alpha
1.975 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.975 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.975 * [taylor]: Taking taylor expansion of beta in i
1.975 * [backup-simplify]: Simplify beta into beta
1.975 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.975 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.975 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.975 * [taylor]: Taking taylor expansion of 2.0 in i
1.975 * [backup-simplify]: Simplify 2.0 into 2.0
1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.975 * [taylor]: Taking taylor expansion of alpha in i
1.975 * [backup-simplify]: Simplify alpha into alpha
1.975 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.975 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.976 * [taylor]: Taking taylor expansion of 2.0 in i
1.976 * [backup-simplify]: Simplify 2.0 into 2.0
1.976 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.976 * [taylor]: Taking taylor expansion of i in i
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [backup-simplify]: Simplify (/ 1 1) into 1
1.976 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.976 * [taylor]: Taking taylor expansion of beta in i
1.976 * [backup-simplify]: Simplify beta into beta
1.976 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.976 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.976 * [taylor]: Taking taylor expansion of alpha in i
1.976 * [backup-simplify]: Simplify alpha into alpha
1.976 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.976 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.976 * [taylor]: Taking taylor expansion of 2.0 in i
1.976 * [backup-simplify]: Simplify 2.0 into 2.0
1.976 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.976 * [taylor]: Taking taylor expansion of i in i
1.976 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (/ 1 1) into 1
1.977 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.977 * [taylor]: Taking taylor expansion of beta in i
1.977 * [backup-simplify]: Simplify beta into beta
1.977 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.977 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.977 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
1.977 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.978 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
1.978 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.978 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.979 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.979 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.980 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.980 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.981 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.981 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.982 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
1.982 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
1.982 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
1.982 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
1.982 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
1.982 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.982 * [taylor]: Taking taylor expansion of alpha in beta
1.982 * [backup-simplify]: Simplify alpha into alpha
1.982 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.982 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.982 * [taylor]: Taking taylor expansion of beta in beta
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.982 * [backup-simplify]: Simplify (/ 1 1) into 1
1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.982 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.982 * [taylor]: Taking taylor expansion of alpha in beta
1.982 * [backup-simplify]: Simplify alpha into alpha
1.982 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.982 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.982 * [taylor]: Taking taylor expansion of beta in beta
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (/ 1 1) into 1
1.983 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.983 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.983 * [taylor]: Taking taylor expansion of 2.0 in beta
1.983 * [backup-simplify]: Simplify 2.0 into 2.0
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.983 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.983 * [taylor]: Taking taylor expansion of alpha in beta
1.983 * [backup-simplify]: Simplify alpha into alpha
1.983 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.983 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.983 * [taylor]: Taking taylor expansion of 2.0 in beta
1.983 * [backup-simplify]: Simplify 2.0 into 2.0
1.983 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.983 * [taylor]: Taking taylor expansion of i in beta
1.983 * [backup-simplify]: Simplify i into i
1.983 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.983 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.983 * [taylor]: Taking taylor expansion of beta in beta
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [backup-simplify]: Simplify (/ 1 1) into 1
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.983 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.983 * [taylor]: Taking taylor expansion of alpha in beta
1.983 * [backup-simplify]: Simplify alpha into alpha
1.983 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.983 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.984 * [taylor]: Taking taylor expansion of 2.0 in beta
1.984 * [backup-simplify]: Simplify 2.0 into 2.0
1.984 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.984 * [taylor]: Taking taylor expansion of i in beta
1.984 * [backup-simplify]: Simplify i into i
1.984 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.984 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.984 * [taylor]: Taking taylor expansion of beta in beta
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1.984 * [backup-simplify]: Simplify (- 1) into -1
1.984 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.985 * [backup-simplify]: Simplify (+ 0 1) into 1
1.985 * [backup-simplify]: Simplify (* -1 1) into -1
1.985 * [backup-simplify]: Simplify (+ 0 1) into 1
1.985 * [backup-simplify]: Simplify (+ 0 1) into 1
1.986 * [backup-simplify]: Simplify (- 1) into -1
1.986 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.986 * [backup-simplify]: Simplify (+ 0 1) into 1
1.986 * [backup-simplify]: Simplify (+ 0 1) into 1
1.987 * [backup-simplify]: Simplify (* -1 1) into -1
1.987 * [backup-simplify]: Simplify (/ -1 -1) into 1
1.987 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
1.987 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.987 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.987 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.987 * [taylor]: Taking taylor expansion of alpha in alpha
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 1 into 1
1.987 * [backup-simplify]: Simplify (/ 1 1) into 1
1.987 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.987 * [taylor]: Taking taylor expansion of beta in alpha
1.987 * [backup-simplify]: Simplify beta into beta
1.987 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.987 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.987 * [taylor]: Taking taylor expansion of alpha in alpha
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (/ 1 1) into 1
1.988 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.988 * [taylor]: Taking taylor expansion of beta in alpha
1.988 * [backup-simplify]: Simplify beta into beta
1.988 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.988 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.988 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.988 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.988 * [backup-simplify]: Simplify 2.0 into 2.0
1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.988 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.988 * [taylor]: Taking taylor expansion of alpha in alpha
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (/ 1 1) into 1
1.988 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.988 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.988 * [backup-simplify]: Simplify 2.0 into 2.0
1.988 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.988 * [taylor]: Taking taylor expansion of i in alpha
1.988 * [backup-simplify]: Simplify i into i
1.988 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.988 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.988 * [taylor]: Taking taylor expansion of beta in alpha
1.988 * [backup-simplify]: Simplify beta into beta
1.988 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.988 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.988 * [taylor]: Taking taylor expansion of alpha in alpha
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 1 into 1
1.989 * [backup-simplify]: Simplify (/ 1 1) into 1
1.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.989 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.989 * [backup-simplify]: Simplify 2.0 into 2.0
1.989 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.989 * [taylor]: Taking taylor expansion of i in alpha
1.989 * [backup-simplify]: Simplify i into i
1.989 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.989 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.989 * [taylor]: Taking taylor expansion of beta in alpha
1.989 * [backup-simplify]: Simplify beta into beta
1.989 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.989 * [backup-simplify]: Simplify (+ 1 0) into 1
1.989 * [backup-simplify]: Simplify (+ 1 0) into 1
1.990 * [backup-simplify]: Simplify (* 1 1) into 1
1.990 * [backup-simplify]: Simplify (+ 1 0) into 1
1.990 * [backup-simplify]: Simplify (- 1) into -1
1.990 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.991 * [backup-simplify]: Simplify (+ 1 0) into 1
1.991 * [backup-simplify]: Simplify (* -1 1) into -1
1.991 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.991 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
1.991 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.991 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.991 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.991 * [taylor]: Taking taylor expansion of alpha in alpha
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (/ 1 1) into 1
1.992 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.992 * [taylor]: Taking taylor expansion of beta in alpha
1.992 * [backup-simplify]: Simplify beta into beta
1.992 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.992 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.992 * [taylor]: Taking taylor expansion of alpha in alpha
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (/ 1 1) into 1
1.992 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.992 * [taylor]: Taking taylor expansion of beta in alpha
1.992 * [backup-simplify]: Simplify beta into beta
1.992 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.992 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.992 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.992 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.992 * [backup-simplify]: Simplify 2.0 into 2.0
1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.992 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.992 * [taylor]: Taking taylor expansion of alpha in alpha
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (/ 1 1) into 1
1.992 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.992 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.992 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.993 * [backup-simplify]: Simplify 2.0 into 2.0
1.993 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.993 * [taylor]: Taking taylor expansion of i in alpha
1.993 * [backup-simplify]: Simplify i into i
1.993 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.993 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.993 * [taylor]: Taking taylor expansion of beta in alpha
1.993 * [backup-simplify]: Simplify beta into beta
1.993 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.993 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.993 * [taylor]: Taking taylor expansion of alpha in alpha
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify 1 into 1
1.993 * [backup-simplify]: Simplify (/ 1 1) into 1
1.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.993 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.993 * [backup-simplify]: Simplify 2.0 into 2.0
1.993 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.993 * [taylor]: Taking taylor expansion of i in alpha
1.993 * [backup-simplify]: Simplify i into i
1.993 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.993 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.993 * [taylor]: Taking taylor expansion of beta in alpha
1.993 * [backup-simplify]: Simplify beta into beta
1.993 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.994 * [backup-simplify]: Simplify (+ 1 0) into 1
1.994 * [backup-simplify]: Simplify (+ 1 0) into 1
1.994 * [backup-simplify]: Simplify (* 1 1) into 1
1.994 * [backup-simplify]: Simplify (+ 1 0) into 1
1.994 * [backup-simplify]: Simplify (- 1) into -1
1.995 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.995 * [backup-simplify]: Simplify (+ 1 0) into 1
1.995 * [backup-simplify]: Simplify (* -1 1) into -1
1.995 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.996 * [taylor]: Taking taylor expansion of -1 in beta
1.996 * [backup-simplify]: Simplify -1 into -1
1.996 * [taylor]: Taking taylor expansion of -1 in i
1.996 * [backup-simplify]: Simplify -1 into -1
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.996 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.997 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.997 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
1.997 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.997 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.997 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.997 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.998 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.998 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.998 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.998 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.999 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
1.999 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.999 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
1.999 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
1.999 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.999 * [taylor]: Taking taylor expansion of 4.0 in beta
1.999 * [backup-simplify]: Simplify 4.0 into 4.0
1.999 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.999 * [taylor]: Taking taylor expansion of i in beta
1.999 * [backup-simplify]: Simplify i into i
1.999 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.999 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.999 * [taylor]: Taking taylor expansion of 2 in beta
1.999 * [backup-simplify]: Simplify 2 into 2
1.999 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.999 * [taylor]: Taking taylor expansion of beta in beta
1.999 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify 1 into 1
2.000 * [backup-simplify]: Simplify (/ 1 1) into 1
2.000 * [taylor]: Taking taylor expansion of 2.0 in beta
2.000 * [backup-simplify]: Simplify 2.0 into 2.0
2.000 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
2.001 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
2.001 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
2.001 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
2.001 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
2.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
2.001 * [taylor]: Taking taylor expansion of 4.0 in i
2.001 * [backup-simplify]: Simplify 4.0 into 4.0
2.001 * [taylor]: Taking taylor expansion of (/ 1 i) in i
2.001 * [taylor]: Taking taylor expansion of i in i
2.001 * [backup-simplify]: Simplify 0 into 0
2.001 * [backup-simplify]: Simplify 1 into 1
2.001 * [backup-simplify]: Simplify (/ 1 1) into 1
2.002 * [taylor]: Taking taylor expansion of 2.0 in i
2.002 * [backup-simplify]: Simplify 2.0 into 2.0
2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (- 0) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [taylor]: Taking taylor expansion of 0 in i
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
2.005 * [backup-simplify]: Simplify (+ 0 0) into 0
2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
2.011 * [backup-simplify]: Simplify (- 0) into 0
2.011 * [backup-simplify]: Simplify (+ 0 0) into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
2.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
2.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
2.014 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
2.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
2.014 * [backup-simplify]: Simplify (+ 0 0) into 0
2.015 * [backup-simplify]: Simplify (+ 0 0) into 0
2.015 * [backup-simplify]: Simplify (- 0) into 0
2.015 * [backup-simplify]: Simplify (+ 0 0) into 0
2.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
2.017 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) -1) (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))
2.017 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
2.017 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
2.017 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
2.017 * [taylor]: Taking taylor expansion of 6.0 in beta
2.017 * [backup-simplify]: Simplify 6.0 into 6.0
2.017 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
2.017 * [taylor]: Taking taylor expansion of beta in beta
2.017 * [backup-simplify]: Simplify 0 into 0
2.017 * [backup-simplify]: Simplify 1 into 1
2.018 * [backup-simplify]: Simplify (/ 1 1) into 1
2.018 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
2.018 * [taylor]: Taking taylor expansion of 12.0 in beta
2.018 * [backup-simplify]: Simplify 12.0 into 12.0
2.018 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
2.018 * [taylor]: Taking taylor expansion of i in beta
2.018 * [backup-simplify]: Simplify i into i
2.018 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
2.018 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
2.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
2.018 * [taylor]: Taking taylor expansion of 2 in beta
2.018 * [backup-simplify]: Simplify 2 into 2
2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
2.018 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
2.018 * [taylor]: Taking taylor expansion of beta in beta
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify 1 into 1
2.018 * [backup-simplify]: Simplify (* 1 1) into 1
2.018 * [backup-simplify]: Simplify (/ 1 1) into 1
2.018 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
2.018 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
2.018 * [taylor]: Taking taylor expansion of 12.0 in beta
2.018 * [backup-simplify]: Simplify 12.0 into 12.0
2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
2.018 * [taylor]: Taking taylor expansion of (pow i 2) in beta
2.019 * [taylor]: Taking taylor expansion of i in beta
2.019 * [backup-simplify]: Simplify i into i
2.019 * [backup-simplify]: Simplify (* i i) into (pow i 2)
2.019 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
2.019 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
2.019 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
2.019 * [taylor]: Taking taylor expansion of 12.0 in beta
2.019 * [backup-simplify]: Simplify 12.0 into 12.0
2.019 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
2.019 * [taylor]: Taking taylor expansion of (* i beta) in beta
2.019 * [taylor]: Taking taylor expansion of i in beta
2.019 * [backup-simplify]: Simplify i into i
2.019 * [taylor]: Taking taylor expansion of beta in beta
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 1 into 1
2.019 * [backup-simplify]: Simplify (* i 0) into 0
2.019 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
2.019 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
2.019 * [taylor]: Taking taylor expansion of 4.0 in beta
2.019 * [backup-simplify]: Simplify 4.0 into 4.0
2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
2.020 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
2.020 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.023 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
2.023 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
2.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
2.024 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
2.024 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
2.025 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
2.025 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
2.025 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
2.025 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
2.025 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
2.025 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
2.025 * [taylor]: Taking taylor expansion of 12.0 in i
2.026 * [backup-simplify]: Simplify 12.0 into 12.0
2.026 * [taylor]: Taking taylor expansion of (/ 1 i) in i
2.026 * [taylor]: Taking taylor expansion of i in i
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.026 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
2.026 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
2.026 * [taylor]: Taking taylor expansion of 12.0 in i
2.026 * [backup-simplify]: Simplify 12.0 into 12.0
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
2.026 * [taylor]: Taking taylor expansion of (pow i 2) in i
2.026 * [taylor]: Taking taylor expansion of i in i
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.027 * [backup-simplify]: Simplify (* 1 1) into 1
2.027 * [backup-simplify]: Simplify (/ 1 1) into 1
2.027 * [taylor]: Taking taylor expansion of 4.0 in i
2.027 * [backup-simplify]: Simplify 4.0 into 4.0
2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.030 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (- 0) into 0
2.037 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
2.037 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.039 * [backup-simplify]: Simplify (- 0) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.039 * [taylor]: Taking taylor expansion of 0 in i
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * * * [progress]: simplifying candidates
2.042 * [simplify]: Simplifying:
  (- (+ (log (+ alpha beta)) (log (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i))))
  (- (log (* (+ alpha beta) (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i))))
  (log (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (exp (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (- beta alpha) (- beta alpha)) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (+ alpha beta) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i))))
  (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))))
  (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (- (* (+ alpha beta) (- beta alpha)))
  (- (+ (+ alpha beta) (* 2.0 i)))
  (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ alpha beta) 1)
  (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
  (/ 1 (+ (+ alpha beta) (* 2.0 i)))
  (/ (+ (+ alpha beta) (* 2.0 i)) (* (+ alpha beta) (- beta alpha)))
  (/ (* (+ alpha beta) (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (* (+ alpha beta) (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (+ alpha beta) (- beta alpha)) 1)
  (/ (+ (+ alpha beta) (* 2.0 i)) (- beta alpha))
  (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3)))
  (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i))))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha)))))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ beta alpha)))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (- alpha beta) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha)))))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (- alpha beta) (+ beta alpha)))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha))))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ beta alpha))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ (* alpha alpha) (- (* beta beta) (* alpha beta))))
  (* (+ (+ alpha beta) (* 2.0 i)) (- alpha beta))
  (* (exp (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (exp 1.0))
  (log (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (exp (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (* (cbrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)) (cbrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)))
  (cbrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (* (* (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (sqrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (sqrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (+ (pow (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 3) (pow 1.0 3))
  (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (- (* 1.0 1.0) (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)))
  (- (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* 1.0 1.0))
  (- (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)
  (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)
  (- (- (+ (log (+ alpha beta)) (log (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (- (log (* (+ alpha beta) (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (log (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (log (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (exp (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (- beta alpha) (- beta alpha)) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (+ alpha beta) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (cbrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (cbrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (- (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 1)
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 1)
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (+ alpha beta) (- beta alpha)) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (+ alpha beta) (- beta alpha)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (+ alpha beta) (- beta alpha)) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (+ alpha beta) (- beta alpha)) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ 1 (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (- (+ alpha beta) (* 2.0 i)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0)))
  (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ alpha beta) (* 2.0 i)))
  0
  0
  0
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
  0
  0
2.044 * [simplify]: Sending expressions to egg_math:
 (- (+ (log (+ h3 h2)) (log (- h2 h3))) (log (+ (+ h3 h2) (* h1 h0))))
 (- (log (* (+ h3 h2) (- h2 h3))) (log (+ (+ h3 h2) (* h1 h0))))
 (log (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (exp (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (/ (* (* (* (+ h3 h2) (+ h3 h2)) (+ h3 h2)) (* (* (- h2 h3) (- h2 h3)) (- h2 h3))) (* (* (+ (+ h3 h2) (* h1 h0)) (+ (+ h3 h2) (* h1 h0))) (+ (+ h3 h2) (* h1 h0))))
 (/ (* (* (* (+ h3 h2) (- h2 h3)) (* (+ h3 h2) (- h2 h3))) (* (+ h3 h2) (- h2 h3))) (* (* (+ (+ h3 h2) (* h1 h0)) (+ (+ h3 h2) (* h1 h0))) (+ (+ h3 h2) (* h1 h0))))
 (* (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))))
 (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (* (* (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (- (* (+ h3 h2) (- h2 h3)))
 (- (+ (+ h3 h2) (* h1 h0)))
 (/ (+ h3 h2) (* (cbrt (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ h3 h2) (* h1 h0)))))
 (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h1 h0))))
 (/ (+ h3 h2) (sqrt (+ (+ h3 h2) (* h1 h0))))
 (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h1 h0))))
 (/ (+ h3 h2) 1)
 (/ (- h2 h3) (+ (+ h3 h2) (* h1 h0)))
 (/ 1 (+ (+ h3 h2) (* h1 h0)))
 (/ (+ (+ h3 h2) (* h1 h0)) (* (+ h3 h2) (- h2 h3)))
 (/ (* (+ h3 h2) (- h2 h3)) (* (cbrt (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ h3 h2) (* h1 h0)))))
 (/ (* (+ h3 h2) (- h2 h3)) (sqrt (+ (+ h3 h2) (* h1 h0))))
 (/ (* (+ h3 h2) (- h2 h3)) 1)
 (/ (+ (+ h3 h2) (* h1 h0)) (- h2 h3))
 (/ (* (+ h3 h2) (- h2 h3)) (+ (pow (+ h3 h2) 3) (pow (* h1 h0) 3)))
 (/ (* (+ h3 h2) (- h2 h3)) (- (* (+ h3 h2) (+ h3 h2)) (* (* h1 h0) (* h1 h0))))
 (* (+ (+ h3 h2) (* h1 h0)) (* (+ (* h3 h3) (- (* h2 h2) (* h3 h2))) (+ (* h2 h2) (+ (* h3 h3) (* h2 h3)))))
 (* (+ (+ h3 h2) (* h1 h0)) (* (+ (* h3 h3) (- (* h2 h2) (* h3 h2))) (+ h2 h3)))
 (* (+ (+ h3 h2) (* h1 h0)) (* (- h3 h2) (+ (* h2 h2) (+ (* h3 h3) (* h2 h3)))))
 (* (+ (+ h3 h2) (* h1 h0)) (* (- h3 h2) (+ h2 h3)))
 (* (+ (+ h3 h2) (* h1 h0)) (+ (* h2 h2) (+ (* h3 h3) (* h2 h3))))
 (* (+ (+ h3 h2) (* h1 h0)) (+ h2 h3))
 (* (+ (+ h3 h2) (* h1 h0)) (+ (* h3 h3) (- (* h2 h2) (* h3 h2))))
 (* (+ (+ h3 h2) (* h1 h0)) (- h3 h2))
 (* (exp (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))) (exp h4))
 (log (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4))
 (exp (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4))
 (* (cbrt (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4)) (cbrt (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4)))
 (cbrt (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4))
 (* (* (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4) (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4)) (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4))
 (sqrt (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4))
 (sqrt (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4))
 (+ (pow (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) 3) (pow h4 3))
 (+ (* (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))) (- (* h4 h4) (* (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4)))
 (- (* (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))) (* h4 h4))
 (- (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4)
 (+ (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) h4)
 (- (- (+ (log (+ h3 h2)) (log (- h2 h3))) (log (+ (+ h3 h2) (* h1 h0)))) (log (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (- (- (log (* (+ h3 h2) (- h2 h3))) (log (+ (+ h3 h2) (* h1 h0)))) (log (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (- (log (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (log (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (log (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (exp (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (* (* (+ h3 h2) (+ h3 h2)) (+ h3 h2)) (* (* (- h2 h3) (- h2 h3)) (- h2 h3))) (* (* (+ (+ h3 h2) (* h1 h0)) (+ (+ h3 h2) (* h1 h0))) (+ (+ h3 h2) (* h1 h0)))) (* (* (+ (+ (+ h3 h2) (* h1 h0)) h1) (+ (+ (+ h3 h2) (* h1 h0)) h1)) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (* (* (+ h3 h2) (- h2 h3)) (* (+ h3 h2) (- h2 h3))) (* (+ h3 h2) (- h2 h3))) (* (* (+ (+ h3 h2) (* h1 h0)) (+ (+ h3 h2) (* h1 h0))) (+ (+ h3 h2) (* h1 h0)))) (* (* (+ (+ (+ h3 h2) (* h1 h0)) h1) (+ (+ (+ h3 h2) (* h1 h0)) h1)) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (* (* (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (* (* (+ (+ (+ h3 h2) (* h1 h0)) h1) (+ (+ (+ h3 h2) (* h1 h0)) h1)) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (* (cbrt (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))) (cbrt (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (cbrt (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (* (* (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)) (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))) (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (sqrt (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (sqrt (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (- (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (- (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (* (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (* (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (* (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))) 1)
 (/ (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (* (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))) 1)
 (/ (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) 1)
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) 1)
 (/ (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (+ h3 h2) (* (cbrt (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ h3 h2) (* h1 h0))))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h1 h0)))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (+ h3 h2) (* (cbrt (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ h3 h2) (* h1 h0))))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (+ h3 h2) (* (cbrt (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ h3 h2) (* h1 h0))))) 1)
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (+ h3 h2) (* (cbrt (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ h3 h2) (* h1 h0))))) 1)
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (+ h3 h2) (sqrt (+ (+ h3 h2) (* h1 h0)))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h1 h0)))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (+ h3 h2) (sqrt (+ (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (+ h3 h2) (sqrt (+ (+ h3 h2) (* h1 h0)))) 1)
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (+ h3 h2) (sqrt (+ (+ h3 h2) (* h1 h0)))) 1)
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (+ h3 h2) 1) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (+ h3 h2) 1) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h1 h0))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (+ h3 h2) 1) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (+ h3 h2) 1) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ 1 (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ 1 (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ 1 1)
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ 1 1)
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (* (+ h3 h2) (- h2 h3)) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (/ 1 (+ (+ h3 h2) (* h1 h0))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (* (+ h3 h2) (- h2 h3)) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ 1 (+ (+ h3 h2) (* h1 h0))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (* (+ h3 h2) (- h2 h3)) 1)
 (/ (/ 1 (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (* (+ h3 h2) (- h2 h3)) 1)
 (/ (/ 1 (+ (+ h3 h2) (* h1 h0))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (pow (+ h3 h2) 3) (pow (* h1 h0) 3))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h1 h0) (* h1 h0)) (* (+ h3 h2) (* h1 h0)))) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (pow (+ h3 h2) 3) (pow (* h1 h0) 3))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h1 h0) (* h1 h0)) (* (+ h3 h2) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (pow (+ h3 h2) 3) (pow (* h1 h0) 3))) 1)
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h1 h0) (* h1 h0)) (* (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (pow (+ h3 h2) 3) (pow (* h1 h0) 3))) 1)
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h1 h0) (* h1 h0)) (* (+ h3 h2) (* h1 h0)))) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (- (* (+ h3 h2) (+ h3 h2)) (* (* h1 h0) (* h1 h0)))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (- (+ h3 h2) (* h1 h0)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (- (* (+ h3 h2) (+ h3 h2)) (* (* h1 h0) (* h1 h0)))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (- (+ h3 h2) (* h1 h0)) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (- (* (+ h3 h2) (+ h3 h2)) (* (* h1 h0) (* h1 h0)))) 1)
 (/ (- (+ h3 h2) (* h1 h0)) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (- (* (+ h3 h2) (+ h3 h2)) (* (* h1 h0) (* h1 h0)))) 1)
 (/ (- (+ h3 h2) (* h1 h0)) (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ 1 (+ (+ (+ h3 h2) (* h1 h0)) h1))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (* (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1)) (cbrt (+ (+ (+ h3 h2) (* h1 h0)) h1))))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (sqrt (+ (+ (+ h3 h2) (* h1 h0)) h1)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) 1)
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) 1)
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (cbrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (sqrt (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0)))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h1 h0)))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h1 h0)))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (/ (- h2 h3) (+ (+ h3 h2) (* h1 h0))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (/ 1 (+ (+ h3 h2) (* h1 h0))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h1 h0) (* h1 h0)) (* (+ h3 h2) (* h1 h0)))))
 (/ (+ (+ (+ h3 h2) (* h1 h0)) h1) (- (+ h3 h2) (* h1 h0)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (+ (pow (+ (+ h3 h2) (* h1 h0)) 3) (pow h1 3)))
 (/ (/ (* (+ h3 h2) (- h2 h3)) (+ (+ h3 h2) (* h1 h0))) (- (* (+ (+ h3 h2) (* h1 h0)) (+ (+ h3 h2) (* h1 h0))) (* h1 h1)))
 (* (+ (+ (+ h3 h2) (* h1 h0)) h1) (+ (+ h3 h2) (* h1 h0)))
 0
 0
 0
 (- (+ h4 (* h5 (pow h3 2))) (* h5 (pow h2 2)))
 (- (+ (* h1 (/ 1 h3)) (* h7 (/ 1 (pow h3 3)))) (* h6 (/ 1 (pow h3 2))))
 (- (+ (* h1 (/ 1 h3)) (* h7 (/ 1 (pow h3 3)))) (* h6 (/ 1 (pow h3 2))))
 (- (* h5 (pow h3 2)) (+ (* h8 (pow h3 3)) (* h5 (pow h2 2))))
 0
 0
2.125 * * * [progress]: adding candidates to table
2.529 * * [progress]: iteration 2 / 4
2.529 * * * [progress]: picking best candidate
2.564 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 2.0))>
2.565 * * * [progress]: localizing error
2.590 * * * [progress]: generating rewritten candidates
2.590 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
2.754 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
3.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2)
3.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1)
3.555 * * * [progress]: generating series expansions
3.555 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
3.556 * [backup-simplify]: Simplify (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
3.556 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
3.556 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
3.556 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
3.556 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
3.556 * [taylor]: Taking taylor expansion of (pow beta 2) in i
3.556 * [taylor]: Taking taylor expansion of beta in i
3.556 * [backup-simplify]: Simplify beta into beta
3.556 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
3.556 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
3.556 * [taylor]: Taking taylor expansion of alpha in i
3.556 * [backup-simplify]: Simplify alpha into alpha
3.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.556 * [taylor]: Taking taylor expansion of 2.0 in i
3.556 * [backup-simplify]: Simplify 2.0 into 2.0
3.556 * [taylor]: Taking taylor expansion of i in i
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 1 into 1
3.556 * [taylor]: Taking taylor expansion of beta in i
3.556 * [backup-simplify]: Simplify beta into beta
3.556 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
3.556 * [taylor]: Taking taylor expansion of alpha in i
3.556 * [backup-simplify]: Simplify alpha into alpha
3.556 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
3.556 * [taylor]: Taking taylor expansion of 2.0 in i
3.556 * [backup-simplify]: Simplify 2.0 into 2.0
3.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.556 * [taylor]: Taking taylor expansion of 2.0 in i
3.556 * [backup-simplify]: Simplify 2.0 into 2.0
3.556 * [taylor]: Taking taylor expansion of i in i
3.556 * [backup-simplify]: Simplify 0 into 0
3.556 * [backup-simplify]: Simplify 1 into 1
3.556 * [taylor]: Taking taylor expansion of beta in i
3.556 * [backup-simplify]: Simplify beta into beta
3.556 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.557 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.557 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.557 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.557 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.557 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.557 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
3.557 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
3.557 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
3.558 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
3.558 * [taylor]: Taking taylor expansion of 1.0 in i
3.558 * [backup-simplify]: Simplify 1.0 into 1.0
3.558 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
3.558 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
3.558 * [taylor]: Taking taylor expansion of alpha in i
3.558 * [backup-simplify]: Simplify alpha into alpha
3.558 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
3.558 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
3.558 * [taylor]: Taking taylor expansion of alpha in i
3.558 * [backup-simplify]: Simplify alpha into alpha
3.558 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.558 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.558 * [taylor]: Taking taylor expansion of 2.0 in i
3.558 * [backup-simplify]: Simplify 2.0 into 2.0
3.558 * [taylor]: Taking taylor expansion of i in i
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.558 * [taylor]: Taking taylor expansion of beta in i
3.558 * [backup-simplify]: Simplify beta into beta
3.558 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
3.558 * [taylor]: Taking taylor expansion of alpha in i
3.558 * [backup-simplify]: Simplify alpha into alpha
3.558 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
3.558 * [taylor]: Taking taylor expansion of 2.0 in i
3.558 * [backup-simplify]: Simplify 2.0 into 2.0
3.558 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.558 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.558 * [taylor]: Taking taylor expansion of 2.0 in i
3.558 * [backup-simplify]: Simplify 2.0 into 2.0
3.558 * [taylor]: Taking taylor expansion of i in i
3.558 * [backup-simplify]: Simplify 0 into 0
3.558 * [backup-simplify]: Simplify 1 into 1
3.558 * [taylor]: Taking taylor expansion of beta in i
3.558 * [backup-simplify]: Simplify beta into beta
3.558 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.559 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.559 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.559 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.559 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.559 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.559 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
3.559 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
3.559 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
3.559 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
3.559 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
3.559 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
3.559 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
3.559 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.560 * [taylor]: Taking taylor expansion of beta in beta
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
3.560 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
3.560 * [taylor]: Taking taylor expansion of alpha in beta
3.560 * [backup-simplify]: Simplify alpha into alpha
3.560 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.560 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.560 * [taylor]: Taking taylor expansion of 2.0 in beta
3.560 * [backup-simplify]: Simplify 2.0 into 2.0
3.560 * [taylor]: Taking taylor expansion of i in beta
3.560 * [backup-simplify]: Simplify i into i
3.560 * [taylor]: Taking taylor expansion of beta in beta
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
3.560 * [taylor]: Taking taylor expansion of alpha in beta
3.560 * [backup-simplify]: Simplify alpha into alpha
3.560 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
3.560 * [taylor]: Taking taylor expansion of 2.0 in beta
3.560 * [backup-simplify]: Simplify 2.0 into 2.0
3.560 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.560 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.560 * [taylor]: Taking taylor expansion of 2.0 in beta
3.560 * [backup-simplify]: Simplify 2.0 into 2.0
3.560 * [taylor]: Taking taylor expansion of i in beta
3.560 * [backup-simplify]: Simplify i into i
3.560 * [taylor]: Taking taylor expansion of beta in beta
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (* 1 1) into 1
3.560 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.560 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.560 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
3.560 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.561 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.561 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
3.561 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
3.561 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
3.561 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
3.561 * [taylor]: Taking taylor expansion of 1.0 in beta
3.561 * [backup-simplify]: Simplify 1.0 into 1.0
3.561 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
3.561 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
3.561 * [taylor]: Taking taylor expansion of alpha in beta
3.561 * [backup-simplify]: Simplify alpha into alpha
3.561 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
3.561 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
3.561 * [taylor]: Taking taylor expansion of alpha in beta
3.561 * [backup-simplify]: Simplify alpha into alpha
3.561 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.561 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.561 * [taylor]: Taking taylor expansion of 2.0 in beta
3.561 * [backup-simplify]: Simplify 2.0 into 2.0
3.561 * [taylor]: Taking taylor expansion of i in beta
3.561 * [backup-simplify]: Simplify i into i
3.561 * [taylor]: Taking taylor expansion of beta in beta
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.561 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
3.561 * [taylor]: Taking taylor expansion of alpha in beta
3.561 * [backup-simplify]: Simplify alpha into alpha
3.561 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
3.561 * [taylor]: Taking taylor expansion of 2.0 in beta
3.561 * [backup-simplify]: Simplify 2.0 into 2.0
3.561 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.561 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.561 * [taylor]: Taking taylor expansion of 2.0 in beta
3.561 * [backup-simplify]: Simplify 2.0 into 2.0
3.561 * [taylor]: Taking taylor expansion of i in beta
3.561 * [backup-simplify]: Simplify i into i
3.561 * [taylor]: Taking taylor expansion of beta in beta
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.562 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.562 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.562 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.562 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
3.562 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.562 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.562 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
3.562 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
3.562 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
3.562 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
3.562 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
3.562 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
3.562 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.562 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.562 * [taylor]: Taking taylor expansion of beta in alpha
3.562 * [backup-simplify]: Simplify beta into beta
3.562 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.562 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.562 * [taylor]: Taking taylor expansion of alpha in alpha
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.562 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.562 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.562 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.562 * [backup-simplify]: Simplify 2.0 into 2.0
3.562 * [taylor]: Taking taylor expansion of i in alpha
3.562 * [backup-simplify]: Simplify i into i
3.562 * [taylor]: Taking taylor expansion of beta in alpha
3.563 * [backup-simplify]: Simplify beta into beta
3.563 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.563 * [taylor]: Taking taylor expansion of alpha in alpha
3.563 * [backup-simplify]: Simplify 0 into 0
3.563 * [backup-simplify]: Simplify 1 into 1
3.563 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.563 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.563 * [backup-simplify]: Simplify 2.0 into 2.0
3.563 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.563 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.563 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.563 * [backup-simplify]: Simplify 2.0 into 2.0
3.563 * [taylor]: Taking taylor expansion of i in alpha
3.563 * [backup-simplify]: Simplify i into i
3.563 * [taylor]: Taking taylor expansion of beta in alpha
3.563 * [backup-simplify]: Simplify beta into beta
3.563 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.563 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.563 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.563 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.563 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.563 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.563 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.563 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.563 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.563 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
3.563 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.564 * [backup-simplify]: Simplify 1.0 into 1.0
3.564 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.564 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.564 * [taylor]: Taking taylor expansion of alpha in alpha
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.564 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.564 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.564 * [taylor]: Taking taylor expansion of alpha in alpha
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.564 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.564 * [backup-simplify]: Simplify 2.0 into 2.0
3.564 * [taylor]: Taking taylor expansion of i in alpha
3.564 * [backup-simplify]: Simplify i into i
3.564 * [taylor]: Taking taylor expansion of beta in alpha
3.564 * [backup-simplify]: Simplify beta into beta
3.564 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.564 * [taylor]: Taking taylor expansion of alpha in alpha
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 1 into 1
3.564 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.564 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.564 * [backup-simplify]: Simplify 2.0 into 2.0
3.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.564 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.564 * [backup-simplify]: Simplify 2.0 into 2.0
3.564 * [taylor]: Taking taylor expansion of i in alpha
3.564 * [backup-simplify]: Simplify i into i
3.564 * [taylor]: Taking taylor expansion of beta in alpha
3.564 * [backup-simplify]: Simplify beta into beta
3.564 * [backup-simplify]: Simplify (* 1 1) into 1
3.565 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.565 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.565 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.565 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.565 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.565 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.565 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.565 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.565 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
3.565 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
3.565 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
3.565 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.565 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.565 * [taylor]: Taking taylor expansion of beta in alpha
3.565 * [backup-simplify]: Simplify beta into beta
3.565 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.565 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.565 * [taylor]: Taking taylor expansion of alpha in alpha
3.565 * [backup-simplify]: Simplify 0 into 0
3.565 * [backup-simplify]: Simplify 1 into 1
3.565 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.565 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.565 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.565 * [backup-simplify]: Simplify 2.0 into 2.0
3.565 * [taylor]: Taking taylor expansion of i in alpha
3.565 * [backup-simplify]: Simplify i into i
3.565 * [taylor]: Taking taylor expansion of beta in alpha
3.565 * [backup-simplify]: Simplify beta into beta
3.566 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.566 * [taylor]: Taking taylor expansion of alpha in alpha
3.566 * [backup-simplify]: Simplify 0 into 0
3.566 * [backup-simplify]: Simplify 1 into 1
3.566 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.566 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.566 * [backup-simplify]: Simplify 2.0 into 2.0
3.566 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.566 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.566 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.566 * [backup-simplify]: Simplify 2.0 into 2.0
3.566 * [taylor]: Taking taylor expansion of i in alpha
3.566 * [backup-simplify]: Simplify i into i
3.566 * [taylor]: Taking taylor expansion of beta in alpha
3.566 * [backup-simplify]: Simplify beta into beta
3.566 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.566 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.566 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.566 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.566 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.566 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.566 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.566 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.566 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.566 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
3.566 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.567 * [backup-simplify]: Simplify 1.0 into 1.0
3.567 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.567 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.567 * [taylor]: Taking taylor expansion of alpha in alpha
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.567 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.567 * [taylor]: Taking taylor expansion of alpha in alpha
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.567 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.567 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.567 * [backup-simplify]: Simplify 2.0 into 2.0
3.567 * [taylor]: Taking taylor expansion of i in alpha
3.567 * [backup-simplify]: Simplify i into i
3.567 * [taylor]: Taking taylor expansion of beta in alpha
3.567 * [backup-simplify]: Simplify beta into beta
3.567 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.567 * [taylor]: Taking taylor expansion of alpha in alpha
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 1 into 1
3.567 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.567 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.567 * [backup-simplify]: Simplify 2.0 into 2.0
3.567 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.567 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.567 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.567 * [backup-simplify]: Simplify 2.0 into 2.0
3.567 * [taylor]: Taking taylor expansion of i in alpha
3.567 * [backup-simplify]: Simplify i into i
3.567 * [taylor]: Taking taylor expansion of beta in alpha
3.567 * [backup-simplify]: Simplify beta into beta
3.567 * [backup-simplify]: Simplify (* 1 1) into 1
3.567 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.568 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.568 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.568 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.568 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.568 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.568 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.568 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.568 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
3.568 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
3.569 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
3.569 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
3.569 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.569 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.569 * [taylor]: Taking taylor expansion of beta in beta
3.569 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify 1 into 1
3.569 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.569 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.569 * [taylor]: Taking taylor expansion of 2.0 in beta
3.569 * [backup-simplify]: Simplify 2.0 into 2.0
3.569 * [taylor]: Taking taylor expansion of i in beta
3.569 * [backup-simplify]: Simplify i into i
3.569 * [taylor]: Taking taylor expansion of beta in beta
3.569 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify 1 into 1
3.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.569 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.569 * [taylor]: Taking taylor expansion of 2.0 in beta
3.569 * [backup-simplify]: Simplify 2.0 into 2.0
3.569 * [taylor]: Taking taylor expansion of i in beta
3.569 * [backup-simplify]: Simplify i into i
3.569 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.569 * [taylor]: Taking taylor expansion of beta in beta
3.569 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify 1 into 1
3.569 * [taylor]: Taking taylor expansion of 2.0 in beta
3.569 * [backup-simplify]: Simplify 2.0 into 2.0
3.569 * [backup-simplify]: Simplify (* 1 1) into 1
3.569 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.570 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.570 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.570 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.570 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.570 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.570 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.570 * [taylor]: Taking taylor expansion of 1.0 in beta
3.570 * [backup-simplify]: Simplify 1.0 into 1.0
3.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.571 * [taylor]: Taking taylor expansion of 1.0 in i
3.571 * [backup-simplify]: Simplify 1.0 into 1.0
3.571 * [backup-simplify]: Simplify 1.0 into 1.0
3.571 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
3.571 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.571 * [backup-simplify]: Simplify (+ 0 0) into 0
3.572 * [backup-simplify]: Simplify (+ 1 0) into 1
3.572 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.572 * [backup-simplify]: Simplify (+ 0 0) into 0
3.573 * [backup-simplify]: Simplify (+ 1 0) into 1
3.573 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
3.574 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
3.576 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
3.577 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
3.577 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
3.577 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
3.578 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.578 * [taylor]: Taking taylor expansion of 4.0 in beta
3.578 * [backup-simplify]: Simplify 4.0 into 4.0
3.578 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.578 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.578 * [taylor]: Taking taylor expansion of i in beta
3.578 * [backup-simplify]: Simplify i into i
3.578 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.578 * [taylor]: Taking taylor expansion of beta in beta
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.578 * [taylor]: Taking taylor expansion of 2.0 in beta
3.578 * [backup-simplify]: Simplify 2.0 into 2.0
3.578 * [taylor]: Taking taylor expansion of i in beta
3.578 * [backup-simplify]: Simplify i into i
3.578 * [taylor]: Taking taylor expansion of beta in beta
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.578 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.578 * [taylor]: Taking taylor expansion of 2.0 in beta
3.578 * [backup-simplify]: Simplify 2.0 into 2.0
3.578 * [taylor]: Taking taylor expansion of i in beta
3.578 * [backup-simplify]: Simplify i into i
3.578 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.578 * [taylor]: Taking taylor expansion of beta in beta
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.578 * [taylor]: Taking taylor expansion of 2.0 in beta
3.578 * [backup-simplify]: Simplify 2.0 into 2.0
3.578 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.579 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.579 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.579 * [backup-simplify]: Simplify (* 1 1) into 1
3.579 * [backup-simplify]: Simplify (* i 1) into i
3.579 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.579 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.580 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.580 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
3.580 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
3.580 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.580 * [taylor]: Taking taylor expansion of 2 in beta
3.580 * [backup-simplify]: Simplify 2 into 2
3.580 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.580 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.580 * [taylor]: Taking taylor expansion of beta in beta
3.580 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify 1 into 1
3.580 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.580 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.580 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.580 * [taylor]: Taking taylor expansion of 2.0 in beta
3.580 * [backup-simplify]: Simplify 2.0 into 2.0
3.580 * [taylor]: Taking taylor expansion of i in beta
3.580 * [backup-simplify]: Simplify i into i
3.580 * [taylor]: Taking taylor expansion of beta in beta
3.580 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify 1 into 1
3.580 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.580 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.580 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.580 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.580 * [taylor]: Taking taylor expansion of 2.0 in beta
3.580 * [backup-simplify]: Simplify 2.0 into 2.0
3.580 * [taylor]: Taking taylor expansion of i in beta
3.580 * [backup-simplify]: Simplify i into i
3.580 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.580 * [taylor]: Taking taylor expansion of beta in beta
3.580 * [backup-simplify]: Simplify 0 into 0
3.580 * [backup-simplify]: Simplify 1 into 1
3.580 * [taylor]: Taking taylor expansion of 2.0 in beta
3.580 * [backup-simplify]: Simplify 2.0 into 2.0
3.580 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.581 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.581 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.581 * [backup-simplify]: Simplify (* 1 1) into 1
3.582 * [backup-simplify]: Simplify (* 1 1) into 1
3.582 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.582 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.582 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.582 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.582 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.582 * [taylor]: Taking taylor expansion of 2.0 in beta
3.582 * [backup-simplify]: Simplify 2.0 into 2.0
3.582 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.582 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.582 * [taylor]: Taking taylor expansion of beta in beta
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 1 into 1
3.582 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.582 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.582 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.582 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.582 * [taylor]: Taking taylor expansion of 2.0 in beta
3.582 * [backup-simplify]: Simplify 2.0 into 2.0
3.582 * [taylor]: Taking taylor expansion of i in beta
3.582 * [backup-simplify]: Simplify i into i
3.582 * [taylor]: Taking taylor expansion of beta in beta
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 1 into 1
3.583 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.583 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.583 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.583 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.583 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.583 * [taylor]: Taking taylor expansion of 2.0 in beta
3.583 * [backup-simplify]: Simplify 2.0 into 2.0
3.583 * [taylor]: Taking taylor expansion of i in beta
3.583 * [backup-simplify]: Simplify i into i
3.583 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.583 * [taylor]: Taking taylor expansion of beta in beta
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify 1 into 1
3.583 * [taylor]: Taking taylor expansion of 2.0 in beta
3.583 * [backup-simplify]: Simplify 2.0 into 2.0
3.583 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.583 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.583 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.583 * [backup-simplify]: Simplify (* 1 1) into 1
3.584 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.584 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.584 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.584 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.584 * [taylor]: Taking taylor expansion of 0 in i
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
3.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.587 * [backup-simplify]: Simplify (+ 0 0) into 0
3.587 * [backup-simplify]: Simplify (+ 0 0) into 0
3.587 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
3.597 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
3.602 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
3.603 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
3.607 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
3.608 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
3.608 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
3.608 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.608 * [taylor]: Taking taylor expansion of 16.0 in beta
3.608 * [backup-simplify]: Simplify 16.0 into 16.0
3.608 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.608 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
3.608 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.608 * [taylor]: Taking taylor expansion of i in beta
3.608 * [backup-simplify]: Simplify i into i
3.608 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.608 * [taylor]: Taking taylor expansion of beta in beta
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.608 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.608 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.608 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.608 * [taylor]: Taking taylor expansion of 2.0 in beta
3.608 * [backup-simplify]: Simplify 2.0 into 2.0
3.608 * [taylor]: Taking taylor expansion of i in beta
3.608 * [backup-simplify]: Simplify i into i
3.608 * [taylor]: Taking taylor expansion of beta in beta
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.608 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.608 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.608 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.608 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.608 * [taylor]: Taking taylor expansion of 2.0 in beta
3.608 * [backup-simplify]: Simplify 2.0 into 2.0
3.608 * [taylor]: Taking taylor expansion of i in beta
3.608 * [backup-simplify]: Simplify i into i
3.608 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.608 * [taylor]: Taking taylor expansion of beta in beta
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify 1 into 1
3.608 * [taylor]: Taking taylor expansion of 2.0 in beta
3.608 * [backup-simplify]: Simplify 2.0 into 2.0
3.608 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.609 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.609 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.609 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.609 * [backup-simplify]: Simplify (* 1 1) into 1
3.610 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
3.610 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.610 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.610 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.610 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.610 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.610 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
3.610 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
3.610 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.611 * [taylor]: Taking taylor expansion of 4 in beta
3.611 * [backup-simplify]: Simplify 4 into 4
3.611 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.611 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
3.611 * [taylor]: Taking taylor expansion of beta in beta
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.611 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.611 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.611 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.611 * [taylor]: Taking taylor expansion of 2.0 in beta
3.611 * [backup-simplify]: Simplify 2.0 into 2.0
3.611 * [taylor]: Taking taylor expansion of i in beta
3.611 * [backup-simplify]: Simplify i into i
3.611 * [taylor]: Taking taylor expansion of beta in beta
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.611 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.611 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.611 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.611 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.611 * [taylor]: Taking taylor expansion of 2.0 in beta
3.611 * [backup-simplify]: Simplify 2.0 into 2.0
3.611 * [taylor]: Taking taylor expansion of i in beta
3.611 * [backup-simplify]: Simplify i into i
3.611 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.611 * [taylor]: Taking taylor expansion of beta in beta
3.611 * [backup-simplify]: Simplify 0 into 0
3.611 * [backup-simplify]: Simplify 1 into 1
3.611 * [taylor]: Taking taylor expansion of 2.0 in beta
3.611 * [backup-simplify]: Simplify 2.0 into 2.0
3.611 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.612 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.612 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.612 * [backup-simplify]: Simplify (* 1 1) into 1
3.612 * [backup-simplify]: Simplify (* 1 1) into 1
3.612 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.612 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.613 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.613 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.613 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.613 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.613 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
3.613 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.613 * [taylor]: Taking taylor expansion of 8.0 in beta
3.613 * [backup-simplify]: Simplify 8.0 into 8.0
3.613 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.613 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.613 * [taylor]: Taking taylor expansion of beta in beta
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 1 into 1
3.613 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.613 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.613 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.613 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.613 * [taylor]: Taking taylor expansion of 2.0 in beta
3.614 * [backup-simplify]: Simplify 2.0 into 2.0
3.614 * [taylor]: Taking taylor expansion of i in beta
3.614 * [backup-simplify]: Simplify i into i
3.614 * [taylor]: Taking taylor expansion of beta in beta
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify 1 into 1
3.614 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.614 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.614 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.614 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.614 * [taylor]: Taking taylor expansion of 2.0 in beta
3.614 * [backup-simplify]: Simplify 2.0 into 2.0
3.614 * [taylor]: Taking taylor expansion of i in beta
3.614 * [backup-simplify]: Simplify i into i
3.614 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.614 * [taylor]: Taking taylor expansion of beta in beta
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify 1 into 1
3.614 * [taylor]: Taking taylor expansion of 2.0 in beta
3.614 * [backup-simplify]: Simplify 2.0 into 2.0
3.614 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.614 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.614 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.615 * [backup-simplify]: Simplify (* 1 1) into 1
3.615 * [backup-simplify]: Simplify (* 1 1) into 1
3.615 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.615 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.615 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.615 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.615 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.616 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.616 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
3.616 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.616 * [taylor]: Taking taylor expansion of 16.0 in beta
3.616 * [backup-simplify]: Simplify 16.0 into 16.0
3.616 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.616 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
3.616 * [taylor]: Taking taylor expansion of i in beta
3.616 * [backup-simplify]: Simplify i into i
3.616 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.616 * [taylor]: Taking taylor expansion of beta in beta
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.616 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.616 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.616 * [taylor]: Taking taylor expansion of 2.0 in beta
3.616 * [backup-simplify]: Simplify 2.0 into 2.0
3.616 * [taylor]: Taking taylor expansion of i in beta
3.616 * [backup-simplify]: Simplify i into i
3.616 * [taylor]: Taking taylor expansion of beta in beta
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.616 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.616 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.616 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.616 * [taylor]: Taking taylor expansion of 2.0 in beta
3.616 * [backup-simplify]: Simplify 2.0 into 2.0
3.616 * [taylor]: Taking taylor expansion of i in beta
3.616 * [backup-simplify]: Simplify i into i
3.616 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.616 * [taylor]: Taking taylor expansion of beta in beta
3.616 * [backup-simplify]: Simplify 0 into 0
3.616 * [backup-simplify]: Simplify 1 into 1
3.616 * [taylor]: Taking taylor expansion of 2.0 in beta
3.616 * [backup-simplify]: Simplify 2.0 into 2.0
3.616 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.617 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.617 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.617 * [backup-simplify]: Simplify (* 1 1) into 1
3.617 * [backup-simplify]: Simplify (* 1 1) into 1
3.617 * [backup-simplify]: Simplify (* i 1) into i
3.617 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.617 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.618 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.618 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.618 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.618 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
3.618 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
3.618 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.618 * [taylor]: Taking taylor expansion of 16.0 in beta
3.618 * [backup-simplify]: Simplify 16.0 into 16.0
3.618 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.618 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.618 * [taylor]: Taking taylor expansion of i in beta
3.618 * [backup-simplify]: Simplify i into i
3.618 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.618 * [taylor]: Taking taylor expansion of beta in beta
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 1 into 1
3.618 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.618 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.618 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.618 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.618 * [taylor]: Taking taylor expansion of 2.0 in beta
3.618 * [backup-simplify]: Simplify 2.0 into 2.0
3.618 * [taylor]: Taking taylor expansion of i in beta
3.618 * [backup-simplify]: Simplify i into i
3.618 * [taylor]: Taking taylor expansion of beta in beta
3.618 * [backup-simplify]: Simplify 0 into 0
3.618 * [backup-simplify]: Simplify 1 into 1
3.619 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.619 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.619 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.619 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.619 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.619 * [taylor]: Taking taylor expansion of 2.0 in beta
3.619 * [backup-simplify]: Simplify 2.0 into 2.0
3.619 * [taylor]: Taking taylor expansion of i in beta
3.619 * [backup-simplify]: Simplify i into i
3.619 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.619 * [taylor]: Taking taylor expansion of beta in beta
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.619 * [taylor]: Taking taylor expansion of 2.0 in beta
3.619 * [backup-simplify]: Simplify 2.0 into 2.0
3.619 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.619 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.619 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.619 * [backup-simplify]: Simplify (* 1 1) into 1
3.619 * [backup-simplify]: Simplify (* i 1) into i
3.620 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.620 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.620 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.620 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.620 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.620 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
3.620 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.620 * [taylor]: Taking taylor expansion of 4.0 in beta
3.620 * [backup-simplify]: Simplify 4.0 into 4.0
3.620 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.620 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.620 * [taylor]: Taking taylor expansion of beta in beta
3.620 * [backup-simplify]: Simplify 0 into 0
3.620 * [backup-simplify]: Simplify 1 into 1
3.620 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.620 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.620 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.621 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.621 * [taylor]: Taking taylor expansion of 2.0 in beta
3.621 * [backup-simplify]: Simplify 2.0 into 2.0
3.621 * [taylor]: Taking taylor expansion of i in beta
3.621 * [backup-simplify]: Simplify i into i
3.621 * [taylor]: Taking taylor expansion of beta in beta
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 1 into 1
3.621 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.621 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.621 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.621 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.621 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.621 * [taylor]: Taking taylor expansion of 2.0 in beta
3.621 * [backup-simplify]: Simplify 2.0 into 2.0
3.621 * [taylor]: Taking taylor expansion of i in beta
3.621 * [backup-simplify]: Simplify i into i
3.621 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.621 * [taylor]: Taking taylor expansion of beta in beta
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 1 into 1
3.621 * [taylor]: Taking taylor expansion of 2.0 in beta
3.621 * [backup-simplify]: Simplify 2.0 into 2.0
3.621 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.621 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.621 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.622 * [backup-simplify]: Simplify (* 1 1) into 1
3.622 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.622 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.622 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.622 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.622 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.622 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.622 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.622 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.622 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.622 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.622 * [taylor]: Taking taylor expansion of 2.0 in beta
3.622 * [backup-simplify]: Simplify 2.0 into 2.0
3.623 * [taylor]: Taking taylor expansion of i in beta
3.623 * [backup-simplify]: Simplify i into i
3.623 * [taylor]: Taking taylor expansion of beta in beta
3.623 * [backup-simplify]: Simplify 0 into 0
3.623 * [backup-simplify]: Simplify 1 into 1
3.623 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.623 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.623 * [taylor]: Taking taylor expansion of 2.0 in beta
3.623 * [backup-simplify]: Simplify 2.0 into 2.0
3.623 * [taylor]: Taking taylor expansion of i in beta
3.623 * [backup-simplify]: Simplify i into i
3.623 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.623 * [taylor]: Taking taylor expansion of beta in beta
3.623 * [backup-simplify]: Simplify 0 into 0
3.623 * [backup-simplify]: Simplify 1 into 1
3.623 * [taylor]: Taking taylor expansion of 2.0 in beta
3.623 * [backup-simplify]: Simplify 2.0 into 2.0
3.623 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.623 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.623 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.623 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.623 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.623 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.623 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.623 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.623 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.623 * [taylor]: Taking taylor expansion of beta in beta
3.623 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.624 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.624 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.624 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.624 * [taylor]: Taking taylor expansion of 2.0 in beta
3.624 * [backup-simplify]: Simplify 2.0 into 2.0
3.624 * [taylor]: Taking taylor expansion of i in beta
3.624 * [backup-simplify]: Simplify i into i
3.624 * [taylor]: Taking taylor expansion of beta in beta
3.624 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.624 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.624 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.624 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.624 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.624 * [taylor]: Taking taylor expansion of 2.0 in beta
3.624 * [backup-simplify]: Simplify 2.0 into 2.0
3.624 * [taylor]: Taking taylor expansion of i in beta
3.624 * [backup-simplify]: Simplify i into i
3.624 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.624 * [taylor]: Taking taylor expansion of beta in beta
3.624 * [backup-simplify]: Simplify 0 into 0
3.624 * [backup-simplify]: Simplify 1 into 1
3.624 * [taylor]: Taking taylor expansion of 2.0 in beta
3.624 * [backup-simplify]: Simplify 2.0 into 2.0
3.624 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.625 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.625 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.625 * [backup-simplify]: Simplify (* 1 1) into 1
3.625 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.625 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.625 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.625 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.626 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
3.626 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.626 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.626 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
3.626 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
3.626 * [taylor]: Taking taylor expansion of 0.5 in i
3.626 * [backup-simplify]: Simplify 0.5 into 0.5
3.626 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
3.626 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.626 * [taylor]: Taking taylor expansion of i in i
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 1 into 1
3.626 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.626 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.626 * [taylor]: Taking taylor expansion of 2.0 in i
3.626 * [backup-simplify]: Simplify 2.0 into 2.0
3.626 * [taylor]: Taking taylor expansion of i in i
3.626 * [backup-simplify]: Simplify 0 into 0
3.626 * [backup-simplify]: Simplify 1 into 1
3.626 * [taylor]: Taking taylor expansion of 2.0 in i
3.626 * [backup-simplify]: Simplify 2.0 into 2.0
3.626 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.627 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.627 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.628 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.628 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.629 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.629 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
3.630 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.630 * [backup-simplify]: Simplify (+ 0 0) into 0
3.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.634 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
3.635 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
3.635 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
3.635 * [backup-simplify]: Simplify 0.25 into 0.25
3.635 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
3.635 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
3.635 * [taylor]: Taking taylor expansion of 0.5 in i
3.635 * [backup-simplify]: Simplify 0.5 into 0.5
3.636 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
3.636 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.636 * [taylor]: Taking taylor expansion of i in i
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [backup-simplify]: Simplify 1 into 1
3.636 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.636 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.636 * [taylor]: Taking taylor expansion of 2.0 in i
3.636 * [backup-simplify]: Simplify 2.0 into 2.0
3.636 * [taylor]: Taking taylor expansion of i in i
3.636 * [backup-simplify]: Simplify 0 into 0
3.636 * [backup-simplify]: Simplify 1 into 1
3.636 * [taylor]: Taking taylor expansion of 2.0 in i
3.636 * [backup-simplify]: Simplify 2.0 into 2.0
3.636 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.636 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.637 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.637 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.638 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.638 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.639 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
3.639 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.640 * [backup-simplify]: Simplify (+ 0 0) into 0
3.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.642 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
3.643 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
3.644 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
3.644 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
3.645 * [backup-simplify]: Simplify (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
3.645 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
3.645 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
3.645 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
3.645 * [taylor]: Taking taylor expansion of 1.0 in i
3.645 * [backup-simplify]: Simplify 1.0 into 1.0
3.645 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
3.645 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
3.645 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
3.645 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.645 * [taylor]: Taking taylor expansion of alpha in i
3.645 * [backup-simplify]: Simplify alpha into alpha
3.645 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.645 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
3.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.645 * [taylor]: Taking taylor expansion of 2.0 in i
3.645 * [backup-simplify]: Simplify 2.0 into 2.0
3.645 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.645 * [taylor]: Taking taylor expansion of i in i
3.645 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 1 into 1
3.646 * [backup-simplify]: Simplify (/ 1 1) into 1
3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
3.646 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.646 * [taylor]: Taking taylor expansion of beta in i
3.646 * [backup-simplify]: Simplify beta into beta
3.646 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.646 * [taylor]: Taking taylor expansion of 2.0 in i
3.646 * [backup-simplify]: Simplify 2.0 into 2.0
3.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.646 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.646 * [taylor]: Taking taylor expansion of alpha in i
3.646 * [backup-simplify]: Simplify alpha into alpha
3.646 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.646 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.646 * [taylor]: Taking taylor expansion of 2.0 in i
3.646 * [backup-simplify]: Simplify 2.0 into 2.0
3.646 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.646 * [taylor]: Taking taylor expansion of i in i
3.646 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify 1 into 1
3.646 * [backup-simplify]: Simplify (/ 1 1) into 1
3.646 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.647 * [taylor]: Taking taylor expansion of beta in i
3.647 * [backup-simplify]: Simplify beta into beta
3.647 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.647 * [taylor]: Taking taylor expansion of (pow beta 2) in i
3.647 * [taylor]: Taking taylor expansion of beta in i
3.647 * [backup-simplify]: Simplify beta into beta
3.647 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.647 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.647 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.648 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.648 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.648 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.648 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.648 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
3.649 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
3.649 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
3.649 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
3.649 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
3.649 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
3.649 * [taylor]: Taking taylor expansion of alpha in i
3.649 * [backup-simplify]: Simplify alpha into alpha
3.649 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
3.649 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.649 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.649 * [taylor]: Taking taylor expansion of alpha in i
3.649 * [backup-simplify]: Simplify alpha into alpha
3.649 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.649 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.649 * [taylor]: Taking taylor expansion of 2.0 in i
3.649 * [backup-simplify]: Simplify 2.0 into 2.0
3.649 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.649 * [taylor]: Taking taylor expansion of i in i
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 1 into 1
3.649 * [backup-simplify]: Simplify (/ 1 1) into 1
3.649 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.649 * [taylor]: Taking taylor expansion of beta in i
3.649 * [backup-simplify]: Simplify beta into beta
3.649 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.649 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
3.649 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.650 * [taylor]: Taking taylor expansion of alpha in i
3.650 * [backup-simplify]: Simplify alpha into alpha
3.650 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.650 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
3.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.650 * [taylor]: Taking taylor expansion of 2.0 in i
3.650 * [backup-simplify]: Simplify 2.0 into 2.0
3.650 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.650 * [taylor]: Taking taylor expansion of i in i
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (/ 1 1) into 1
3.650 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
3.650 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.650 * [taylor]: Taking taylor expansion of beta in i
3.650 * [backup-simplify]: Simplify beta into beta
3.650 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.650 * [taylor]: Taking taylor expansion of 2.0 in i
3.650 * [backup-simplify]: Simplify 2.0 into 2.0
3.650 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.650 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.651 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.651 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.651 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.652 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.652 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.652 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
3.652 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
3.652 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
3.652 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
3.652 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
3.652 * [taylor]: Taking taylor expansion of 1.0 in beta
3.652 * [backup-simplify]: Simplify 1.0 into 1.0
3.652 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
3.652 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
3.653 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.653 * [taylor]: Taking taylor expansion of alpha in beta
3.653 * [backup-simplify]: Simplify alpha into alpha
3.653 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.653 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
3.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.653 * [taylor]: Taking taylor expansion of 2.0 in beta
3.653 * [backup-simplify]: Simplify 2.0 into 2.0
3.653 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.653 * [taylor]: Taking taylor expansion of i in beta
3.653 * [backup-simplify]: Simplify i into i
3.653 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
3.653 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.653 * [taylor]: Taking taylor expansion of beta in beta
3.653 * [backup-simplify]: Simplify 0 into 0
3.653 * [backup-simplify]: Simplify 1 into 1
3.653 * [backup-simplify]: Simplify (/ 1 1) into 1
3.653 * [taylor]: Taking taylor expansion of 2.0 in beta
3.653 * [backup-simplify]: Simplify 2.0 into 2.0
3.653 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.653 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.653 * [taylor]: Taking taylor expansion of alpha in beta
3.653 * [backup-simplify]: Simplify alpha into alpha
3.653 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.653 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.653 * [taylor]: Taking taylor expansion of 2.0 in beta
3.653 * [backup-simplify]: Simplify 2.0 into 2.0
3.653 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.653 * [taylor]: Taking taylor expansion of i in beta
3.653 * [backup-simplify]: Simplify i into i
3.654 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.654 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.654 * [taylor]: Taking taylor expansion of beta in beta
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.654 * [backup-simplify]: Simplify (/ 1 1) into 1
3.654 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.654 * [taylor]: Taking taylor expansion of beta in beta
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.654 * [backup-simplify]: Simplify (+ 1 0) into 1
3.654 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (* 1 1) into 1
3.656 * [backup-simplify]: Simplify (/ 1 1) into 1
3.656 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
3.656 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
3.656 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
3.656 * [taylor]: Taking taylor expansion of alpha in beta
3.656 * [backup-simplify]: Simplify alpha into alpha
3.656 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
3.656 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.656 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.656 * [taylor]: Taking taylor expansion of alpha in beta
3.656 * [backup-simplify]: Simplify alpha into alpha
3.656 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.656 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.656 * [taylor]: Taking taylor expansion of 2.0 in beta
3.656 * [backup-simplify]: Simplify 2.0 into 2.0
3.656 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.656 * [taylor]: Taking taylor expansion of i in beta
3.656 * [backup-simplify]: Simplify i into i
3.657 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.657 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.657 * [taylor]: Taking taylor expansion of beta in beta
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 1 into 1
3.657 * [backup-simplify]: Simplify (/ 1 1) into 1
3.657 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
3.657 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.657 * [taylor]: Taking taylor expansion of alpha in beta
3.657 * [backup-simplify]: Simplify alpha into alpha
3.657 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.657 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
3.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.657 * [taylor]: Taking taylor expansion of 2.0 in beta
3.657 * [backup-simplify]: Simplify 2.0 into 2.0
3.657 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.657 * [taylor]: Taking taylor expansion of i in beta
3.657 * [backup-simplify]: Simplify i into i
3.657 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.657 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
3.657 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.657 * [taylor]: Taking taylor expansion of beta in beta
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 1 into 1
3.657 * [backup-simplify]: Simplify (/ 1 1) into 1
3.657 * [taylor]: Taking taylor expansion of 2.0 in beta
3.657 * [backup-simplify]: Simplify 2.0 into 2.0
3.657 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.658 * [backup-simplify]: Simplify (+ 0 1) into 1
3.658 * [backup-simplify]: Simplify (+ 0 1) into 1
3.658 * [backup-simplify]: Simplify (+ 1 0) into 1
3.659 * [backup-simplify]: Simplify (+ 0 1) into 1
3.659 * [backup-simplify]: Simplify (+ 0 1) into 1
3.659 * [backup-simplify]: Simplify (* 1 1) into 1
3.659 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
3.659 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
3.659 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
3.659 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
3.659 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.659 * [backup-simplify]: Simplify 1.0 into 1.0
3.659 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
3.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
3.659 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
3.659 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.659 * [taylor]: Taking taylor expansion of alpha in alpha
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [backup-simplify]: Simplify (/ 1 1) into 1
3.660 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
3.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.660 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.660 * [backup-simplify]: Simplify 2.0 into 2.0
3.660 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.660 * [taylor]: Taking taylor expansion of i in alpha
3.660 * [backup-simplify]: Simplify i into i
3.660 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
3.660 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.660 * [taylor]: Taking taylor expansion of beta in alpha
3.660 * [backup-simplify]: Simplify beta into beta
3.660 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.660 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.660 * [backup-simplify]: Simplify 2.0 into 2.0
3.660 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.660 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.660 * [taylor]: Taking taylor expansion of alpha in alpha
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [backup-simplify]: Simplify (/ 1 1) into 1
3.660 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.660 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.661 * [backup-simplify]: Simplify 2.0 into 2.0
3.661 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.661 * [taylor]: Taking taylor expansion of i in alpha
3.661 * [backup-simplify]: Simplify i into i
3.661 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.661 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.661 * [taylor]: Taking taylor expansion of beta in alpha
3.661 * [backup-simplify]: Simplify beta into beta
3.661 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.661 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.661 * [taylor]: Taking taylor expansion of beta in alpha
3.661 * [backup-simplify]: Simplify beta into beta
3.661 * [backup-simplify]: Simplify (+ 1 0) into 1
3.661 * [backup-simplify]: Simplify (+ 1 0) into 1
3.661 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.661 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
3.662 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
3.662 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
3.662 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
3.662 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
3.662 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.662 * [taylor]: Taking taylor expansion of alpha in alpha
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 1 into 1
3.662 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
3.662 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.662 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.662 * [taylor]: Taking taylor expansion of alpha in alpha
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 1 into 1
3.662 * [backup-simplify]: Simplify (/ 1 1) into 1
3.662 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.662 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.662 * [backup-simplify]: Simplify 2.0 into 2.0
3.662 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.662 * [taylor]: Taking taylor expansion of i in alpha
3.662 * [backup-simplify]: Simplify i into i
3.662 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.662 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.662 * [taylor]: Taking taylor expansion of beta in alpha
3.662 * [backup-simplify]: Simplify beta into beta
3.662 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.662 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
3.663 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.663 * [taylor]: Taking taylor expansion of alpha in alpha
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify 1 into 1
3.663 * [backup-simplify]: Simplify (/ 1 1) into 1
3.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
3.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.663 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.663 * [backup-simplify]: Simplify 2.0 into 2.0
3.663 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.663 * [taylor]: Taking taylor expansion of i in alpha
3.663 * [backup-simplify]: Simplify i into i
3.663 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.663 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
3.663 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.663 * [taylor]: Taking taylor expansion of beta in alpha
3.663 * [backup-simplify]: Simplify beta into beta
3.663 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.663 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.663 * [backup-simplify]: Simplify 2.0 into 2.0
3.663 * [backup-simplify]: Simplify (* 1 1) into 1
3.664 * [backup-simplify]: Simplify (+ 1 0) into 1
3.664 * [backup-simplify]: Simplify (+ 1 0) into 1
3.664 * [backup-simplify]: Simplify (* 1 1) into 1
3.664 * [backup-simplify]: Simplify (* 1 1) into 1
3.665 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
3.665 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
3.665 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.665 * [backup-simplify]: Simplify 1.0 into 1.0
3.665 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
3.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
3.665 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.665 * [taylor]: Taking taylor expansion of alpha in alpha
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (/ 1 1) into 1
3.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
3.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.665 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.665 * [backup-simplify]: Simplify 2.0 into 2.0
3.665 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.665 * [taylor]: Taking taylor expansion of i in alpha
3.665 * [backup-simplify]: Simplify i into i
3.665 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
3.665 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.665 * [taylor]: Taking taylor expansion of beta in alpha
3.665 * [backup-simplify]: Simplify beta into beta
3.665 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.665 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.665 * [backup-simplify]: Simplify 2.0 into 2.0
3.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.665 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.666 * [taylor]: Taking taylor expansion of alpha in alpha
3.666 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify 1 into 1
3.666 * [backup-simplify]: Simplify (/ 1 1) into 1
3.666 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.666 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.666 * [backup-simplify]: Simplify 2.0 into 2.0
3.666 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.666 * [taylor]: Taking taylor expansion of i in alpha
3.666 * [backup-simplify]: Simplify i into i
3.666 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.666 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.666 * [taylor]: Taking taylor expansion of beta in alpha
3.666 * [backup-simplify]: Simplify beta into beta
3.666 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.666 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.666 * [taylor]: Taking taylor expansion of beta in alpha
3.666 * [backup-simplify]: Simplify beta into beta
3.666 * [backup-simplify]: Simplify (+ 1 0) into 1
3.667 * [backup-simplify]: Simplify (+ 1 0) into 1
3.667 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.667 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
3.667 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
3.667 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
3.667 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
3.667 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
3.667 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.667 * [taylor]: Taking taylor expansion of alpha in alpha
3.667 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify 1 into 1
3.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
3.667 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.667 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.667 * [taylor]: Taking taylor expansion of alpha in alpha
3.667 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify 1 into 1
3.667 * [backup-simplify]: Simplify (/ 1 1) into 1
3.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.668 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.668 * [backup-simplify]: Simplify 2.0 into 2.0
3.668 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.668 * [taylor]: Taking taylor expansion of i in alpha
3.668 * [backup-simplify]: Simplify i into i
3.668 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.668 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.668 * [taylor]: Taking taylor expansion of beta in alpha
3.668 * [backup-simplify]: Simplify beta into beta
3.668 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
3.668 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.668 * [taylor]: Taking taylor expansion of alpha in alpha
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (/ 1 1) into 1
3.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
3.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.668 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.668 * [backup-simplify]: Simplify 2.0 into 2.0
3.668 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.668 * [taylor]: Taking taylor expansion of i in alpha
3.668 * [backup-simplify]: Simplify i into i
3.668 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.668 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
3.668 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.668 * [taylor]: Taking taylor expansion of beta in alpha
3.668 * [backup-simplify]: Simplify beta into beta
3.668 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.668 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.668 * [backup-simplify]: Simplify 2.0 into 2.0
3.669 * [backup-simplify]: Simplify (* 1 1) into 1
3.669 * [backup-simplify]: Simplify (+ 1 0) into 1
3.669 * [backup-simplify]: Simplify (+ 1 0) into 1
3.669 * [backup-simplify]: Simplify (* 1 1) into 1
3.670 * [backup-simplify]: Simplify (* 1 1) into 1
3.670 * [backup-simplify]: Simplify (/ 1 1) into 1
3.670 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
3.670 * [backup-simplify]: Simplify (- 1) into -1
3.671 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
3.671 * [taylor]: Taking taylor expansion of 0 in beta
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [taylor]: Taking taylor expansion of 0 in i
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify (+ 0 0) into 0
3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.672 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.672 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
3.672 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
3.672 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.672 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.672 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.673 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.673 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
3.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.674 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
3.674 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
3.674 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
3.674 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
3.674 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
3.674 * [taylor]: Taking taylor expansion of 4.0 in beta
3.674 * [backup-simplify]: Simplify 4.0 into 4.0
3.674 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.674 * [taylor]: Taking taylor expansion of i in beta
3.674 * [backup-simplify]: Simplify i into i
3.674 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.674 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
3.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
3.675 * [taylor]: Taking taylor expansion of 2 in beta
3.675 * [backup-simplify]: Simplify 2 into 2
3.675 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.675 * [taylor]: Taking taylor expansion of beta in beta
3.675 * [backup-simplify]: Simplify 0 into 0
3.675 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify (/ 1 1) into 1
3.675 * [taylor]: Taking taylor expansion of 2.0 in beta
3.675 * [backup-simplify]: Simplify 2.0 into 2.0
3.675 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.676 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.676 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.677 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
3.677 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
3.677 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
3.677 * [taylor]: Taking taylor expansion of 4.0 in i
3.677 * [backup-simplify]: Simplify 4.0 into 4.0
3.677 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.677 * [taylor]: Taking taylor expansion of i in i
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 1 into 1
3.677 * [backup-simplify]: Simplify (/ 1 1) into 1
3.677 * [taylor]: Taking taylor expansion of 2.0 in i
3.677 * [backup-simplify]: Simplify 2.0 into 2.0
3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.678 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.678 * [backup-simplify]: Simplify 2.0 into 2.0
3.678 * [taylor]: Taking taylor expansion of 0 in i
3.678 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.679 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.680 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (+ 0 0) into 0
3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.681 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.681 * [backup-simplify]: Simplify (+ 0 0) into 0
3.682 * [backup-simplify]: Simplify (+ 0 0) into 0
3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
3.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.684 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
3.686 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
3.686 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
3.687 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
3.687 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
3.687 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
3.687 * [taylor]: Taking taylor expansion of 2 in beta
3.687 * [backup-simplify]: Simplify 2 into 2
3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
3.687 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.687 * [taylor]: Taking taylor expansion of beta in beta
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify 1 into 1
3.691 * [backup-simplify]: Simplify (* 1 1) into 1
3.692 * [backup-simplify]: Simplify (/ 1 1) into 1
3.692 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
3.692 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
3.692 * [taylor]: Taking taylor expansion of 12.0 in beta
3.692 * [backup-simplify]: Simplify 12.0 into 12.0
3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
3.692 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.692 * [taylor]: Taking taylor expansion of i in beta
3.692 * [backup-simplify]: Simplify i into i
3.692 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.692 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.692 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
3.692 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
3.692 * [taylor]: Taking taylor expansion of 6.0 in beta
3.692 * [backup-simplify]: Simplify 6.0 into 6.0
3.692 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.692 * [taylor]: Taking taylor expansion of beta in beta
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 1 into 1
3.693 * [backup-simplify]: Simplify (/ 1 1) into 1
3.693 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
3.693 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
3.693 * [taylor]: Taking taylor expansion of 12.0 in beta
3.693 * [backup-simplify]: Simplify 12.0 into 12.0
3.693 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.693 * [taylor]: Taking taylor expansion of i in beta
3.693 * [backup-simplify]: Simplify i into i
3.693 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.693 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
3.693 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
3.693 * [taylor]: Taking taylor expansion of 12.0 in beta
3.693 * [backup-simplify]: Simplify 12.0 into 12.0
3.693 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
3.693 * [taylor]: Taking taylor expansion of (* i beta) in beta
3.693 * [taylor]: Taking taylor expansion of i in beta
3.693 * [backup-simplify]: Simplify i into i
3.693 * [taylor]: Taking taylor expansion of beta in beta
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 1 into 1
3.693 * [backup-simplify]: Simplify (* i 0) into 0
3.693 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
3.693 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.693 * [taylor]: Taking taylor expansion of 4.0 in beta
3.693 * [backup-simplify]: Simplify 4.0 into 4.0
3.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.696 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.697 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
3.697 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
3.697 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
3.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.698 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
3.698 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.698 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
3.698 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
3.698 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
3.699 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
3.699 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
3.699 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
3.699 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
3.699 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
3.699 * [taylor]: Taking taylor expansion of 12.0 in i
3.699 * [backup-simplify]: Simplify 12.0 into 12.0
3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
3.699 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.699 * [taylor]: Taking taylor expansion of i in i
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [backup-simplify]: Simplify (* 1 1) into 1
3.700 * [backup-simplify]: Simplify (/ 1 1) into 1
3.700 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
3.700 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
3.700 * [taylor]: Taking taylor expansion of 12.0 in i
3.700 * [backup-simplify]: Simplify 12.0 into 12.0
3.700 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.700 * [taylor]: Taking taylor expansion of i in i
3.700 * [backup-simplify]: Simplify 0 into 0
3.700 * [backup-simplify]: Simplify 1 into 1
3.700 * [backup-simplify]: Simplify (/ 1 1) into 1
3.700 * [taylor]: Taking taylor expansion of 4.0 in i
3.700 * [backup-simplify]: Simplify 4.0 into 4.0
3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
3.704 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.704 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.704 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.705 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.705 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.707 * [backup-simplify]: Simplify (+ 0 0) into 0
3.707 * [backup-simplify]: Simplify (+ 0 0) into 0
3.707 * [taylor]: Taking taylor expansion of 0 in i
3.707 * [backup-simplify]: Simplify 0 into 0
3.707 * [backup-simplify]: Simplify 0 into 0
3.707 * [taylor]: Taking taylor expansion of 0 in i
3.707 * [backup-simplify]: Simplify 0 into 0
3.707 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.708 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.708 * [backup-simplify]: Simplify (+ 0 0) into 0
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify 0 into 0
3.709 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.709 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.709 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.709 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.710 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.710 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.711 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
3.711 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
3.711 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
3.711 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
3.712 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
3.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
3.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
3.714 * [backup-simplify]: Simplify (+ 0 0) into 0
3.715 * [backup-simplify]: Simplify (+ 0 0) into 0
3.715 * [backup-simplify]: Simplify (+ 0 0) into 0
3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
3.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
3.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
3.716 * [backup-simplify]: Simplify (+ 0 0) into 0
3.717 * [backup-simplify]: Simplify (+ 0 0) into 0
3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
3.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
3.727 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
3.732 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
3.732 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
3.732 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
3.732 * [taylor]: Taking taylor expansion of 20.0 in beta
3.732 * [backup-simplify]: Simplify 20.0 into 20.0
3.732 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
3.732 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.732 * [taylor]: Taking taylor expansion of i in beta
3.732 * [backup-simplify]: Simplify i into i
3.732 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.732 * [taylor]: Taking taylor expansion of beta in beta
3.732 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify 1 into 1
3.733 * [backup-simplify]: Simplify (* 1 1) into 1
3.733 * [backup-simplify]: Simplify (* i 1) into i
3.733 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.733 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
3.733 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
3.733 * [taylor]: Taking taylor expansion of 48.0 in beta
3.733 * [backup-simplify]: Simplify 48.0 into 48.0
3.733 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
3.733 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.733 * [taylor]: Taking taylor expansion of i in beta
3.734 * [backup-simplify]: Simplify i into i
3.734 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.734 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.734 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
3.734 * [taylor]: Taking taylor expansion of 8.0 in beta
3.734 * [backup-simplify]: Simplify 8.0 into 8.0
3.734 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
3.734 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
3.734 * [taylor]: Taking taylor expansion of 10.0 in beta
3.734 * [backup-simplify]: Simplify 10.0 into 10.0
3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
3.734 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.734 * [taylor]: Taking taylor expansion of beta in beta
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 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
3.735 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
3.735 * [taylor]: Taking taylor expansion of 48.0 in beta
3.735 * [backup-simplify]: Simplify 48.0 into 48.0
3.736 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
3.736 * [taylor]: Taking taylor expansion of (* i beta) in beta
3.736 * [taylor]: Taking taylor expansion of i in beta
3.736 * [backup-simplify]: Simplify i into i
3.736 * [taylor]: Taking taylor expansion of beta in beta
3.736 * [backup-simplify]: Simplify 0 into 0
3.736 * [backup-simplify]: Simplify 1 into 1
3.736 * [backup-simplify]: Simplify (* i 0) into 0
3.736 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
3.736 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.736 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
3.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
3.736 * [taylor]: Taking taylor expansion of 2 in beta
3.736 * [backup-simplify]: Simplify 2 into 2
3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
3.736 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.736 * [taylor]: Taking taylor expansion of beta in beta
3.736 * [backup-simplify]: Simplify 0 into 0
3.737 * [backup-simplify]: Simplify 1 into 1
3.737 * [backup-simplify]: Simplify (* 1 1) into 1
3.737 * [backup-simplify]: Simplify (* 1 1) into 1
3.738 * [backup-simplify]: Simplify (/ 1 1) into 1
3.738 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
3.738 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
3.738 * [taylor]: Taking taylor expansion of 48.0 in beta
3.738 * [backup-simplify]: Simplify 48.0 into 48.0
3.738 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
3.738 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
3.738 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.738 * [taylor]: Taking taylor expansion of i in beta
3.738 * [backup-simplify]: Simplify i into i
3.738 * [taylor]: Taking taylor expansion of beta in beta
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 1 into 1
3.738 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.738 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
3.738 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
3.739 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
3.739 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.739 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
3.739 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
3.739 * [taylor]: Taking taylor expansion of 32.0 in beta
3.739 * [backup-simplify]: Simplify 32.0 into 32.0
3.739 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.739 * [taylor]: Taking taylor expansion of i in beta
3.739 * [backup-simplify]: Simplify i into i
3.739 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.739 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
3.739 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
3.739 * [taylor]: Taking taylor expansion of 16.0 in beta
3.739 * [backup-simplify]: Simplify 16.0 into 16.0
3.739 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.739 * [taylor]: Taking taylor expansion of beta in beta
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 1 into 1
3.740 * [backup-simplify]: Simplify (/ 1 1) into 1
3.740 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
3.740 * [taylor]: Taking taylor expansion of 32.0 in beta
3.740 * [backup-simplify]: Simplify 32.0 into 32.0
3.740 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
3.740 * [taylor]: Taking taylor expansion of (pow i 3) in beta
3.740 * [taylor]: Taking taylor expansion of i in beta
3.740 * [backup-simplify]: Simplify i into i
3.740 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.740 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
3.740 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
3.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.743 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
3.743 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
3.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
3.744 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
3.744 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
3.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.749 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
3.749 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
3.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.750 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
3.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.760 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
3.761 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
3.762 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
3.762 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.763 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
3.764 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
3.764 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
3.764 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
3.764 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.765 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.765 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.766 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.766 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
3.767 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
3.767 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
3.767 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
3.767 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
3.767 * [taylor]: Taking taylor expansion of 48.0 in i
3.767 * [backup-simplify]: Simplify 48.0 into 48.0
3.767 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
3.767 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.768 * [taylor]: Taking taylor expansion of i in i
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 1 into 1
3.768 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (/ 1 1) into 1
3.769 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
3.769 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
3.769 * [taylor]: Taking taylor expansion of 32.0 in i
3.769 * [backup-simplify]: Simplify 32.0 into 32.0
3.769 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
3.769 * [taylor]: Taking taylor expansion of (pow i 3) in i
3.769 * [taylor]: Taking taylor expansion of i in i
3.769 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify 1 into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.770 * [backup-simplify]: Simplify (* 1 1) into 1
3.770 * [backup-simplify]: Simplify (/ 1 1) into 1
3.770 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
3.770 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
3.770 * [taylor]: Taking taylor expansion of 32.0 in i
3.770 * [backup-simplify]: Simplify 32.0 into 32.0
3.770 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.770 * [taylor]: Taking taylor expansion of i in i
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify 1 into 1
3.771 * [backup-simplify]: Simplify (/ 1 1) into 1
3.771 * [taylor]: Taking taylor expansion of 8.0 in i
3.771 * [backup-simplify]: Simplify 8.0 into 8.0
3.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.775 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
3.782 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
3.782 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
3.782 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
3.782 * [backup-simplify]: Simplify 8.0 into 8.0
3.783 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
3.784 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
3.784 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
3.784 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
3.784 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
3.784 * [taylor]: Taking taylor expansion of 1.0 in i
3.784 * [backup-simplify]: Simplify 1.0 into 1.0
3.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
3.784 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
3.784 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
3.784 * [taylor]: Taking taylor expansion of alpha in i
3.784 * [backup-simplify]: Simplify alpha into alpha
3.784 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
3.784 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
3.784 * [taylor]: Taking taylor expansion of 2.0 in i
3.784 * [backup-simplify]: Simplify 2.0 into 2.0
3.784 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.784 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.784 * [taylor]: Taking taylor expansion of alpha in i
3.784 * [backup-simplify]: Simplify alpha into alpha
3.784 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.784 * [taylor]: Taking taylor expansion of 2.0 in i
3.784 * [backup-simplify]: Simplify 2.0 into 2.0
3.784 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.784 * [taylor]: Taking taylor expansion of i in i
3.784 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify 1 into 1
3.785 * [backup-simplify]: Simplify (/ 1 1) into 1
3.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.785 * [taylor]: Taking taylor expansion of beta in i
3.785 * [backup-simplify]: Simplify beta into beta
3.785 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.785 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.785 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.785 * [taylor]: Taking taylor expansion of alpha in i
3.785 * [backup-simplify]: Simplify alpha into alpha
3.785 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.785 * [taylor]: Taking taylor expansion of 2.0 in i
3.785 * [backup-simplify]: Simplify 2.0 into 2.0
3.785 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.785 * [taylor]: Taking taylor expansion of i in i
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [backup-simplify]: Simplify 1 into 1
3.785 * [backup-simplify]: Simplify (/ 1 1) into 1
3.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.785 * [taylor]: Taking taylor expansion of beta in i
3.785 * [backup-simplify]: Simplify beta into beta
3.786 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.786 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.786 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.786 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.786 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.787 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.787 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
3.787 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.788 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.788 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.788 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
3.788 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
3.789 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
3.789 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
3.789 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
3.789 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
3.789 * [taylor]: Taking taylor expansion of 2.0 in i
3.789 * [backup-simplify]: Simplify 2.0 into 2.0
3.789 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.789 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.789 * [taylor]: Taking taylor expansion of alpha in i
3.789 * [backup-simplify]: Simplify alpha into alpha
3.789 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.789 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.789 * [taylor]: Taking taylor expansion of 2.0 in i
3.789 * [backup-simplify]: Simplify 2.0 into 2.0
3.789 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.789 * [taylor]: Taking taylor expansion of i in i
3.789 * [backup-simplify]: Simplify 0 into 0
3.789 * [backup-simplify]: Simplify 1 into 1
3.789 * [backup-simplify]: Simplify (/ 1 1) into 1
3.789 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.789 * [taylor]: Taking taylor expansion of beta in i
3.789 * [backup-simplify]: Simplify beta into beta
3.789 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.789 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
3.789 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.789 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.789 * [taylor]: Taking taylor expansion of alpha in i
3.789 * [backup-simplify]: Simplify alpha into alpha
3.789 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.789 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.790 * [taylor]: Taking taylor expansion of 2.0 in i
3.790 * [backup-simplify]: Simplify 2.0 into 2.0
3.790 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.790 * [taylor]: Taking taylor expansion of i in i
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 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.790 * [taylor]: Taking taylor expansion of beta in i
3.790 * [backup-simplify]: Simplify beta into beta
3.790 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.790 * [taylor]: Taking taylor expansion of (pow beta 2) in i
3.790 * [taylor]: Taking taylor expansion of beta in i
3.790 * [backup-simplify]: Simplify beta into beta
3.790 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.790 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.791 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.791 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.791 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
3.792 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.792 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.792 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.792 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.792 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
3.793 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
3.793 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
3.793 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
3.793 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
3.793 * [taylor]: Taking taylor expansion of 1.0 in beta
3.793 * [backup-simplify]: Simplify 1.0 into 1.0
3.793 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
3.793 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
3.793 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
3.793 * [taylor]: Taking taylor expansion of alpha in beta
3.793 * [backup-simplify]: Simplify alpha into alpha
3.793 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
3.793 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
3.793 * [taylor]: Taking taylor expansion of 2.0 in beta
3.793 * [backup-simplify]: Simplify 2.0 into 2.0
3.793 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.793 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.793 * [taylor]: Taking taylor expansion of alpha in beta
3.793 * [backup-simplify]: Simplify alpha into alpha
3.793 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.793 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.793 * [taylor]: Taking taylor expansion of 2.0 in beta
3.793 * [backup-simplify]: Simplify 2.0 into 2.0
3.793 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.793 * [taylor]: Taking taylor expansion of i in beta
3.793 * [backup-simplify]: Simplify i into i
3.793 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.793 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.793 * [taylor]: Taking taylor expansion of beta in beta
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.794 * [backup-simplify]: Simplify (/ 1 1) into 1
3.794 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.794 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.794 * [taylor]: Taking taylor expansion of alpha in beta
3.794 * [backup-simplify]: Simplify alpha into alpha
3.794 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.794 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.794 * [taylor]: Taking taylor expansion of 2.0 in beta
3.794 * [backup-simplify]: Simplify 2.0 into 2.0
3.794 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.794 * [taylor]: Taking taylor expansion of i in beta
3.794 * [backup-simplify]: Simplify i into i
3.794 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.794 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.794 * [taylor]: Taking taylor expansion of beta in beta
3.794 * [backup-simplify]: Simplify 0 into 0
3.794 * [backup-simplify]: Simplify 1 into 1
3.794 * [backup-simplify]: Simplify (/ 1 1) into 1
3.794 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.795 * [backup-simplify]: Simplify (+ 0 1) into 1
3.795 * [backup-simplify]: Simplify (+ 0 1) into 1
3.795 * [backup-simplify]: Simplify (- 1) into -1
3.795 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.796 * [backup-simplify]: Simplify (+ 0 1) into 1
3.796 * [backup-simplify]: Simplify (+ 0 1) into 1
3.796 * [backup-simplify]: Simplify (* -1 1) into -1
3.796 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
3.796 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
3.796 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
3.796 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
3.796 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
3.796 * [taylor]: Taking taylor expansion of 2.0 in beta
3.796 * [backup-simplify]: Simplify 2.0 into 2.0
3.796 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.796 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.796 * [taylor]: Taking taylor expansion of alpha in beta
3.797 * [backup-simplify]: Simplify alpha into alpha
3.797 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.797 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.797 * [taylor]: Taking taylor expansion of 2.0 in beta
3.797 * [backup-simplify]: Simplify 2.0 into 2.0
3.797 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.797 * [taylor]: Taking taylor expansion of i in beta
3.797 * [backup-simplify]: Simplify i into i
3.797 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.797 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.797 * [taylor]: Taking taylor expansion of beta in beta
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (/ 1 1) into 1
3.797 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
3.797 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.797 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.797 * [taylor]: Taking taylor expansion of alpha in beta
3.797 * [backup-simplify]: Simplify alpha into alpha
3.797 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.797 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.797 * [taylor]: Taking taylor expansion of 2.0 in beta
3.797 * [backup-simplify]: Simplify 2.0 into 2.0
3.797 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.797 * [taylor]: Taking taylor expansion of i in beta
3.797 * [backup-simplify]: Simplify i into i
3.797 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.797 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.797 * [taylor]: Taking taylor expansion of beta in beta
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (/ 1 1) into 1
3.798 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.798 * [taylor]: Taking taylor expansion of beta in beta
3.798 * [backup-simplify]: Simplify 0 into 0
3.798 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (+ 0 1) into 1
3.798 * [backup-simplify]: Simplify (+ 0 1) into 1
3.798 * [backup-simplify]: Simplify (- 1) into -1
3.799 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.799 * [backup-simplify]: Simplify (+ 0 1) into 1
3.799 * [backup-simplify]: Simplify (+ 0 1) into 1
3.799 * [backup-simplify]: Simplify (* 1 1) into 1
3.800 * [backup-simplify]: Simplify (* 1 1) into 1
3.800 * [backup-simplify]: Simplify (* -1 1) into -1
3.800 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.800 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
3.800 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
3.800 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.800 * [backup-simplify]: Simplify 1.0 into 1.0
3.800 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
3.800 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
3.800 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.800 * [taylor]: Taking taylor expansion of alpha in alpha
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 1 into 1
3.800 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.800 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.800 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.800 * [backup-simplify]: Simplify 2.0 into 2.0
3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.800 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.800 * [taylor]: Taking taylor expansion of alpha in alpha
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 (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.801 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.801 * [backup-simplify]: Simplify 2.0 into 2.0
3.801 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.801 * [taylor]: Taking taylor expansion of i in alpha
3.801 * [backup-simplify]: Simplify i into i
3.801 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.801 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.801 * [taylor]: Taking taylor expansion of beta in alpha
3.801 * [backup-simplify]: Simplify beta into beta
3.801 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.801 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.801 * [taylor]: Taking taylor expansion of alpha in alpha
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 (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.801 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.801 * [backup-simplify]: Simplify 2.0 into 2.0
3.801 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.801 * [taylor]: Taking taylor expansion of i in alpha
3.801 * [backup-simplify]: Simplify i into i
3.801 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.801 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.801 * [taylor]: Taking taylor expansion of beta in alpha
3.801 * [backup-simplify]: Simplify beta into beta
3.802 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.802 * [backup-simplify]: Simplify (* 1 1) into 1
3.802 * [backup-simplify]: Simplify (+ 1 0) into 1
3.802 * [backup-simplify]: Simplify (- 1) into -1
3.802 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.803 * [backup-simplify]: Simplify (+ 1 0) into 1
3.803 * [backup-simplify]: Simplify (* -1 1) into -1
3.803 * [backup-simplify]: Simplify (* 1 -1) into -1
3.803 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.803 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
3.804 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
3.804 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.804 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.804 * [backup-simplify]: Simplify 2.0 into 2.0
3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.804 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.804 * [taylor]: Taking taylor expansion of alpha in alpha
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (/ 1 1) into 1
3.804 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.804 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.804 * [backup-simplify]: Simplify 2.0 into 2.0
3.804 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.804 * [taylor]: Taking taylor expansion of i in alpha
3.804 * [backup-simplify]: Simplify i into i
3.804 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.804 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.804 * [taylor]: Taking taylor expansion of beta in alpha
3.804 * [backup-simplify]: Simplify beta into beta
3.804 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.804 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.804 * [taylor]: Taking taylor expansion of alpha in alpha
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.805 * [backup-simplify]: Simplify (/ 1 1) into 1
3.805 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.805 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.805 * [backup-simplify]: Simplify 2.0 into 2.0
3.805 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.805 * [taylor]: Taking taylor expansion of i in alpha
3.805 * [backup-simplify]: Simplify i into i
3.805 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.805 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.805 * [taylor]: Taking taylor expansion of beta in alpha
3.805 * [backup-simplify]: Simplify beta into beta
3.805 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.805 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.805 * [taylor]: Taking taylor expansion of beta in alpha
3.805 * [backup-simplify]: Simplify beta into beta
3.805 * [backup-simplify]: Simplify (+ 1 0) into 1
3.805 * [backup-simplify]: Simplify (- 1) into -1
3.806 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.806 * [backup-simplify]: Simplify (+ 1 0) into 1
3.806 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.806 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
3.806 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
3.806 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
3.806 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
3.806 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
3.806 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.806 * [backup-simplify]: Simplify 1.0 into 1.0
3.806 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
3.806 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
3.806 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.806 * [taylor]: Taking taylor expansion of alpha in alpha
3.806 * [backup-simplify]: Simplify 0 into 0
3.806 * [backup-simplify]: Simplify 1 into 1
3.806 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.806 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.806 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.806 * [backup-simplify]: Simplify 2.0 into 2.0
3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.807 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.807 * [taylor]: Taking taylor expansion of alpha in alpha
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (/ 1 1) into 1
3.807 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.807 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.807 * [backup-simplify]: Simplify 2.0 into 2.0
3.807 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.807 * [taylor]: Taking taylor expansion of i in alpha
3.807 * [backup-simplify]: Simplify i into i
3.807 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.807 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.807 * [taylor]: Taking taylor expansion of beta in alpha
3.807 * [backup-simplify]: Simplify beta into beta
3.807 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.807 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.807 * [taylor]: Taking taylor expansion of alpha in alpha
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 1 into 1
3.807 * [backup-simplify]: Simplify (/ 1 1) into 1
3.807 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.807 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.807 * [backup-simplify]: Simplify 2.0 into 2.0
3.807 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.808 * [taylor]: Taking taylor expansion of i in alpha
3.808 * [backup-simplify]: Simplify i into i
3.808 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.808 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.808 * [taylor]: Taking taylor expansion of beta in alpha
3.808 * [backup-simplify]: Simplify beta into beta
3.808 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (+ 1 0) into 1
3.813 * [backup-simplify]: Simplify (- 1) into -1
3.814 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.814 * [backup-simplify]: Simplify (+ 1 0) into 1
3.814 * [backup-simplify]: Simplify (* -1 1) into -1
3.814 * [backup-simplify]: Simplify (* 1 -1) into -1
3.815 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.815 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
3.815 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
3.815 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.815 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.815 * [backup-simplify]: Simplify 2.0 into 2.0
3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.815 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.815 * [taylor]: Taking taylor expansion of alpha in alpha
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.815 * [backup-simplify]: Simplify (/ 1 1) into 1
3.815 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.815 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.815 * [backup-simplify]: Simplify 2.0 into 2.0
3.815 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.815 * [taylor]: Taking taylor expansion of i in alpha
3.815 * [backup-simplify]: Simplify i into i
3.815 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.815 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.815 * [taylor]: Taking taylor expansion of beta in alpha
3.815 * [backup-simplify]: Simplify beta into beta
3.815 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.815 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.815 * [taylor]: Taking taylor expansion of alpha in alpha
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.816 * [backup-simplify]: Simplify (/ 1 1) into 1
3.816 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.816 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.816 * [backup-simplify]: Simplify 2.0 into 2.0
3.816 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.816 * [taylor]: Taking taylor expansion of i in alpha
3.816 * [backup-simplify]: Simplify i into i
3.816 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.816 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.816 * [taylor]: Taking taylor expansion of beta in alpha
3.816 * [backup-simplify]: Simplify beta into beta
3.816 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.816 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.816 * [taylor]: Taking taylor expansion of beta in alpha
3.816 * [backup-simplify]: Simplify beta into beta
3.816 * [backup-simplify]: Simplify (+ 1 0) into 1
3.817 * [backup-simplify]: Simplify (- 1) into -1
3.817 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.817 * [backup-simplify]: Simplify (+ 1 0) into 1
3.817 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.817 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
3.817 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
3.817 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
3.818 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
3.818 * [backup-simplify]: Simplify (+ 0 0) into 0
3.818 * [taylor]: Taking taylor expansion of 0 in beta
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [taylor]: Taking taylor expansion of 0 in i
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.819 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.819 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.819 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.819 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.820 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
3.820 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
3.820 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
3.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.821 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
3.821 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
3.821 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
3.821 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
3.821 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
3.821 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
3.821 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
3.821 * [taylor]: Taking taylor expansion of 4.0 in beta
3.821 * [backup-simplify]: Simplify 4.0 into 4.0
3.821 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.821 * [taylor]: Taking taylor expansion of i in beta
3.821 * [backup-simplify]: Simplify i into i
3.822 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
3.822 * [taylor]: Taking taylor expansion of 2 in beta
3.822 * [backup-simplify]: Simplify 2 into 2
3.822 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.822 * [taylor]: Taking taylor expansion of beta in beta
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.822 * [backup-simplify]: Simplify (/ 1 1) into 1
3.822 * [taylor]: Taking taylor expansion of 2.0 in beta
3.822 * [backup-simplify]: Simplify 2.0 into 2.0
3.822 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.823 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.823 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
3.823 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.823 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
3.823 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
3.823 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
3.823 * [taylor]: Taking taylor expansion of 4.0 in i
3.824 * [backup-simplify]: Simplify 4.0 into 4.0
3.824 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.824 * [taylor]: Taking taylor expansion of i in i
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.824 * [taylor]: Taking taylor expansion of 2.0 in i
3.824 * [backup-simplify]: Simplify 2.0 into 2.0
3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.825 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.825 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
3.826 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.826 * [taylor]: Taking taylor expansion of 0 in i
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.827 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.827 * [backup-simplify]: Simplify (+ 0 0) into 0
3.827 * [backup-simplify]: Simplify (+ 0 0) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.828 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.828 * [backup-simplify]: Simplify (+ 0 0) into 0
3.829 * [backup-simplify]: Simplify (+ 0 0) into 0
3.829 * [backup-simplify]: Simplify (- 0) into 0
3.829 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.831 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
3.833 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
3.833 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
3.833 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
3.834 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
3.834 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
3.834 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
3.834 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
3.834 * [taylor]: Taking taylor expansion of 12.0 in beta
3.834 * [backup-simplify]: Simplify 12.0 into 12.0
3.834 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.834 * [taylor]: Taking taylor expansion of i in beta
3.834 * [backup-simplify]: Simplify i into i
3.834 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.834 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
3.834 * [taylor]: Taking taylor expansion of 6.0 in beta
3.834 * [backup-simplify]: Simplify 6.0 into 6.0
3.834 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.834 * [taylor]: Taking taylor expansion of beta in beta
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (/ 1 1) into 1
3.835 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
3.835 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
3.835 * [taylor]: Taking taylor expansion of 12.0 in beta
3.835 * [backup-simplify]: Simplify 12.0 into 12.0
3.835 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
3.835 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.835 * [taylor]: Taking taylor expansion of i in beta
3.835 * [backup-simplify]: Simplify i into i
3.835 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.835 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.835 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
3.835 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
3.835 * [taylor]: Taking taylor expansion of 12.0 in beta
3.835 * [backup-simplify]: Simplify 12.0 into 12.0
3.835 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
3.835 * [taylor]: Taking taylor expansion of (* i beta) in beta
3.835 * [taylor]: Taking taylor expansion of i in beta
3.835 * [backup-simplify]: Simplify i into i
3.835 * [taylor]: Taking taylor expansion of beta in beta
3.835 * [backup-simplify]: Simplify 0 into 0
3.835 * [backup-simplify]: Simplify 1 into 1
3.835 * [backup-simplify]: Simplify (* i 0) into 0
3.835 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
3.835 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.835 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
3.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
3.836 * [taylor]: Taking taylor expansion of 2 in beta
3.836 * [backup-simplify]: Simplify 2 into 2
3.836 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
3.836 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.836 * [taylor]: Taking taylor expansion of beta in beta
3.836 * [backup-simplify]: Simplify 0 into 0
3.836 * [backup-simplify]: Simplify 1 into 1
3.836 * [backup-simplify]: Simplify (* 1 1) into 1
3.836 * [backup-simplify]: Simplify (/ 1 1) into 1
3.836 * [taylor]: Taking taylor expansion of 4.0 in beta
3.836 * [backup-simplify]: Simplify 4.0 into 4.0
3.836 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.837 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
3.837 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
3.837 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
3.838 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
3.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.841 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.841 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.841 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
3.841 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
3.842 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
3.842 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
3.842 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
3.842 * [taylor]: Taking taylor expansion of 12.0 in i
3.842 * [backup-simplify]: Simplify 12.0 into 12.0
3.842 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.842 * [taylor]: Taking taylor expansion of i in i
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.842 * [backup-simplify]: Simplify (/ 1 1) into 1
3.842 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
3.842 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
3.842 * [taylor]: Taking taylor expansion of 12.0 in i
3.842 * [backup-simplify]: Simplify 12.0 into 12.0
3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
3.842 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.842 * [taylor]: Taking taylor expansion of i in i
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 1 into 1
3.842 * [backup-simplify]: Simplify (* 1 1) into 1
3.843 * [backup-simplify]: Simplify (/ 1 1) into 1
3.843 * [taylor]: Taking taylor expansion of 4.0 in i
3.843 * [backup-simplify]: Simplify 4.0 into 4.0
3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.843 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
3.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.846 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
3.846 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.846 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.847 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
3.847 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
3.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.848 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.849 * [backup-simplify]: Simplify (+ 0 0) into 0
3.849 * [backup-simplify]: Simplify (- 0) into 0
3.849 * [backup-simplify]: Simplify (+ 0 0) into 0
3.849 * [taylor]: Taking taylor expansion of 0 in i
3.849 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify 0 into 0
3.849 * [taylor]: Taking taylor expansion of 0 in i
3.849 * [backup-simplify]: Simplify 0 into 0
3.849 * [backup-simplify]: Simplify 0 into 0
3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.850 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.851 * [backup-simplify]: Simplify (- 0) into 0
3.851 * [backup-simplify]: Simplify (+ 0 0) into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
3.852 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
3.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
3.854 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
3.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
3.854 * [backup-simplify]: Simplify (+ 0 0) into 0
3.854 * [backup-simplify]: Simplify (+ 0 0) into 0
3.855 * [backup-simplify]: Simplify (- 0) into 0
3.855 * [backup-simplify]: Simplify (+ 0 0) into 0
3.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
3.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
3.860 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
3.861 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
3.861 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.862 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.862 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.862 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.863 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.863 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.863 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.863 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
3.863 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
3.864 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
3.865 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
3.866 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
3.869 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
3.869 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
3.869 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
3.869 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
3.869 * [taylor]: Taking taylor expansion of 20.0 in beta
3.869 * [backup-simplify]: Simplify 20.0 into 20.0
3.869 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
3.869 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.869 * [taylor]: Taking taylor expansion of i in beta
3.869 * [backup-simplify]: Simplify i into i
3.869 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.869 * [taylor]: Taking taylor expansion of beta in beta
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.870 * [backup-simplify]: Simplify (* 1 1) into 1
3.870 * [backup-simplify]: Simplify (* i 1) into i
3.870 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.870 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
3.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
3.870 * [taylor]: Taking taylor expansion of 2 in beta
3.870 * [backup-simplify]: Simplify 2 into 2
3.870 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
3.870 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.870 * [taylor]: Taking taylor expansion of beta in beta
3.870 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify 1 into 1
3.871 * [backup-simplify]: Simplify (* 1 1) into 1
3.871 * [backup-simplify]: Simplify (* 1 1) into 1
3.872 * [backup-simplify]: Simplify (/ 1 1) into 1
3.872 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
3.872 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
3.872 * [taylor]: Taking taylor expansion of 48.0 in beta
3.872 * [backup-simplify]: Simplify 48.0 into 48.0
3.872 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
3.872 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
3.872 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.872 * [taylor]: Taking taylor expansion of i in beta
3.872 * [backup-simplify]: Simplify i into i
3.872 * [taylor]: Taking taylor expansion of beta in beta
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [backup-simplify]: Simplify 1 into 1
3.872 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.872 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
3.873 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
3.873 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
3.873 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.873 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
3.873 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
3.873 * [taylor]: Taking taylor expansion of 32.0 in beta
3.873 * [backup-simplify]: Simplify 32.0 into 32.0
3.874 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.874 * [taylor]: Taking taylor expansion of i in beta
3.874 * [backup-simplify]: Simplify i into i
3.874 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.874 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
3.874 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
3.874 * [taylor]: Taking taylor expansion of 16.0 in beta
3.874 * [backup-simplify]: Simplify 16.0 into 16.0
3.874 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.874 * [taylor]: Taking taylor expansion of beta in beta
3.874 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify 1 into 1
3.874 * [backup-simplify]: Simplify (/ 1 1) into 1
3.874 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
3.874 * [taylor]: Taking taylor expansion of 32.0 in beta
3.874 * [backup-simplify]: Simplify 32.0 into 32.0
3.874 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
3.875 * [taylor]: Taking taylor expansion of (pow i 3) in beta
3.875 * [taylor]: Taking taylor expansion of i in beta
3.875 * [backup-simplify]: Simplify i into i
3.875 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.875 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
3.875 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
3.875 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
3.875 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
3.875 * [taylor]: Taking taylor expansion of 10.0 in beta
3.875 * [backup-simplify]: Simplify 10.0 into 10.0
3.875 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
3.875 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.875 * [taylor]: Taking taylor expansion of beta in beta
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.876 * [backup-simplify]: Simplify (* 1 1) into 1
3.876 * [backup-simplify]: Simplify (/ 1 1) into 1
3.876 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
3.876 * [taylor]: Taking taylor expansion of 8.0 in beta
3.876 * [backup-simplify]: Simplify 8.0 into 8.0
3.876 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
3.876 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
3.876 * [taylor]: Taking taylor expansion of 48.0 in beta
3.876 * [backup-simplify]: Simplify 48.0 into 48.0
3.876 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
3.876 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.876 * [taylor]: Taking taylor expansion of i in beta
3.876 * [backup-simplify]: Simplify i into i
3.876 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.876 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.877 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
3.877 * [taylor]: Taking taylor expansion of 48.0 in beta
3.877 * [backup-simplify]: Simplify 48.0 into 48.0
3.877 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
3.877 * [taylor]: Taking taylor expansion of (* i beta) in beta
3.877 * [taylor]: Taking taylor expansion of i in beta
3.877 * [backup-simplify]: Simplify i into i
3.877 * [taylor]: Taking taylor expansion of beta in beta
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [backup-simplify]: Simplify (* i 0) into 0
3.877 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
3.877 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.878 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
3.879 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
3.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
3.879 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
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
3.884 * [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
3.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.885 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
3.885 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
3.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
3.886 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
3.886 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.887 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
3.887 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
3.888 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
3.888 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
3.888 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.888 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.888 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.891 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
3.891 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
3.891 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
3.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.892 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
3.892 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
3.892 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
3.892 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
3.892 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
3.893 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
3.893 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
3.893 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
3.893 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
3.893 * [taylor]: Taking taylor expansion of 32.0 in i
3.893 * [backup-simplify]: Simplify 32.0 into 32.0
3.893 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.893 * [taylor]: Taking taylor expansion of i in i
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.893 * [backup-simplify]: Simplify (/ 1 1) into 1
3.893 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
3.893 * [taylor]: Taking taylor expansion of 32.0 in i
3.893 * [backup-simplify]: Simplify 32.0 into 32.0
3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
3.893 * [taylor]: Taking taylor expansion of (pow i 3) in i
3.893 * [taylor]: Taking taylor expansion of i in i
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.893 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.894 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
3.894 * [taylor]: Taking taylor expansion of 8.0 in i
3.894 * [backup-simplify]: Simplify 8.0 into 8.0
3.894 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
3.894 * [taylor]: Taking taylor expansion of 48.0 in i
3.894 * [backup-simplify]: Simplify 48.0 into 48.0
3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
3.894 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.894 * [taylor]: Taking taylor expansion of i in i
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.895 * [backup-simplify]: Simplify (/ 1 1) into 1
3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.902 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.902 * [backup-simplify]: Simplify (+ 0 0) into 0
3.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.904 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
3.905 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
3.905 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
3.905 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
3.906 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
3.912 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
3.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
3.912 * [backup-simplify]: Simplify (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) into (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
3.912 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (alpha beta i) around 0
3.912 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
3.912 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
3.912 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
3.912 * [taylor]: Taking taylor expansion of alpha in i
3.912 * [backup-simplify]: Simplify alpha into alpha
3.912 * [taylor]: Taking taylor expansion of beta in i
3.912 * [backup-simplify]: Simplify beta into beta
3.912 * [taylor]: Taking taylor expansion of (- beta alpha) in i
3.912 * [taylor]: Taking taylor expansion of beta in i
3.912 * [backup-simplify]: Simplify beta into beta
3.912 * [taylor]: Taking taylor expansion of alpha in i
3.912 * [backup-simplify]: Simplify alpha into alpha
3.912 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
3.912 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
3.912 * [taylor]: Taking taylor expansion of alpha in i
3.912 * [backup-simplify]: Simplify alpha into alpha
3.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.913 * [taylor]: Taking taylor expansion of 2.0 in i
3.913 * [backup-simplify]: Simplify 2.0 into 2.0
3.913 * [taylor]: Taking taylor expansion of i in i
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [taylor]: Taking taylor expansion of beta in i
3.913 * [backup-simplify]: Simplify beta into beta
3.913 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
3.913 * [taylor]: Taking taylor expansion of alpha in i
3.913 * [backup-simplify]: Simplify alpha into alpha
3.913 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
3.913 * [taylor]: Taking taylor expansion of 2.0 in i
3.913 * [backup-simplify]: Simplify 2.0 into 2.0
3.913 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.913 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.913 * [taylor]: Taking taylor expansion of 2.0 in i
3.913 * [backup-simplify]: Simplify 2.0 into 2.0
3.913 * [taylor]: Taking taylor expansion of i in i
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [taylor]: Taking taylor expansion of beta in i
3.913 * [backup-simplify]: Simplify beta into beta
3.913 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.913 * [backup-simplify]: Simplify (- alpha) into (- alpha)
3.913 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
3.913 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
3.913 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.914 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.914 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.914 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.914 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.914 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
3.914 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
3.914 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
3.914 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
3.914 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
3.914 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
3.914 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
3.914 * [taylor]: Taking taylor expansion of alpha in beta
3.914 * [backup-simplify]: Simplify alpha into alpha
3.914 * [taylor]: Taking taylor expansion of beta in beta
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
3.914 * [taylor]: Taking taylor expansion of beta in beta
3.914 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify 1 into 1
3.914 * [taylor]: Taking taylor expansion of alpha in beta
3.914 * [backup-simplify]: Simplify alpha into alpha
3.914 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
3.914 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
3.914 * [taylor]: Taking taylor expansion of alpha in beta
3.915 * [backup-simplify]: Simplify alpha into alpha
3.915 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.915 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.915 * [taylor]: Taking taylor expansion of 2.0 in beta
3.915 * [backup-simplify]: Simplify 2.0 into 2.0
3.915 * [taylor]: Taking taylor expansion of i in beta
3.915 * [backup-simplify]: Simplify i into i
3.915 * [taylor]: Taking taylor expansion of beta in beta
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
3.915 * [taylor]: Taking taylor expansion of alpha in beta
3.915 * [backup-simplify]: Simplify alpha into alpha
3.915 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
3.915 * [taylor]: Taking taylor expansion of 2.0 in beta
3.915 * [backup-simplify]: Simplify 2.0 into 2.0
3.915 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.915 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.915 * [taylor]: Taking taylor expansion of 2.0 in beta
3.915 * [backup-simplify]: Simplify 2.0 into 2.0
3.915 * [taylor]: Taking taylor expansion of i in beta
3.915 * [backup-simplify]: Simplify i into i
3.915 * [taylor]: Taking taylor expansion of beta in beta
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 1 into 1
3.915 * [backup-simplify]: Simplify (+ alpha 0) into alpha
3.915 * [backup-simplify]: Simplify (- alpha) into (- alpha)
3.915 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
3.915 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
3.915 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.915 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.915 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
3.915 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.915 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.915 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
3.915 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
3.915 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
3.916 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
3.916 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.916 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
3.916 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
3.916 * [taylor]: Taking taylor expansion of alpha in alpha
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of beta in alpha
3.916 * [backup-simplify]: Simplify beta into beta
3.916 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
3.916 * [taylor]: Taking taylor expansion of beta in alpha
3.916 * [backup-simplify]: Simplify beta into beta
3.916 * [taylor]: Taking taylor expansion of alpha in alpha
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.916 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.916 * [taylor]: Taking taylor expansion of alpha in alpha
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.916 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.916 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.916 * [backup-simplify]: Simplify 2.0 into 2.0
3.916 * [taylor]: Taking taylor expansion of i in alpha
3.916 * [backup-simplify]: Simplify i into i
3.916 * [taylor]: Taking taylor expansion of beta in alpha
3.916 * [backup-simplify]: Simplify beta into beta
3.916 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.916 * [taylor]: Taking taylor expansion of alpha in alpha
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.916 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.916 * [backup-simplify]: Simplify 2.0 into 2.0
3.916 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.916 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.916 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.916 * [backup-simplify]: Simplify 2.0 into 2.0
3.916 * [taylor]: Taking taylor expansion of i in alpha
3.916 * [backup-simplify]: Simplify i into i
3.916 * [taylor]: Taking taylor expansion of beta in alpha
3.916 * [backup-simplify]: Simplify beta into beta
3.916 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.917 * [backup-simplify]: Simplify (- 0) into 0
3.917 * [backup-simplify]: Simplify (+ beta 0) into beta
3.917 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.917 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.917 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.917 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.917 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.917 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.917 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.917 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.917 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.918 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
3.918 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.918 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
3.918 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
3.918 * [taylor]: Taking taylor expansion of alpha in alpha
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.918 * [taylor]: Taking taylor expansion of beta in alpha
3.918 * [backup-simplify]: Simplify beta into beta
3.918 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
3.918 * [taylor]: Taking taylor expansion of beta in alpha
3.918 * [backup-simplify]: Simplify beta into beta
3.918 * [taylor]: Taking taylor expansion of alpha in alpha
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.918 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.918 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.918 * [taylor]: Taking taylor expansion of alpha in alpha
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.918 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.918 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.918 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.918 * [backup-simplify]: Simplify 2.0 into 2.0
3.918 * [taylor]: Taking taylor expansion of i in alpha
3.918 * [backup-simplify]: Simplify i into i
3.918 * [taylor]: Taking taylor expansion of beta in alpha
3.918 * [backup-simplify]: Simplify beta into beta
3.918 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.918 * [taylor]: Taking taylor expansion of alpha in alpha
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.918 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.918 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.918 * [backup-simplify]: Simplify 2.0 into 2.0
3.918 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.918 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.918 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.918 * [backup-simplify]: Simplify 2.0 into 2.0
3.918 * [taylor]: Taking taylor expansion of i in alpha
3.918 * [backup-simplify]: Simplify i into i
3.918 * [taylor]: Taking taylor expansion of beta in alpha
3.918 * [backup-simplify]: Simplify beta into beta
3.918 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.918 * [backup-simplify]: Simplify (- 0) into 0
3.919 * [backup-simplify]: Simplify (+ beta 0) into beta
3.919 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.919 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.919 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.919 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.919 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.919 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.919 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.919 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.919 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.919 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
3.919 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.919 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.919 * [taylor]: Taking taylor expansion of beta in beta
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 1 into 1
3.919 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.919 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.919 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.920 * [taylor]: Taking taylor expansion of 2.0 in beta
3.920 * [backup-simplify]: Simplify 2.0 into 2.0
3.920 * [taylor]: Taking taylor expansion of i in beta
3.920 * [backup-simplify]: Simplify i into i
3.920 * [taylor]: Taking taylor expansion of beta in beta
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.920 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.920 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.920 * [taylor]: Taking taylor expansion of 2.0 in beta
3.920 * [backup-simplify]: Simplify 2.0 into 2.0
3.920 * [taylor]: Taking taylor expansion of i in beta
3.920 * [backup-simplify]: Simplify i into i
3.920 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.920 * [taylor]: Taking taylor expansion of beta in beta
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.920 * [taylor]: Taking taylor expansion of 2.0 in beta
3.920 * [backup-simplify]: Simplify 2.0 into 2.0
3.920 * [backup-simplify]: Simplify (* 1 1) into 1
3.920 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.920 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.920 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.920 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.921 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.921 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.921 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.921 * [backup-simplify]: Simplify (- 1) into -1
3.921 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.921 * [backup-simplify]: Simplify (+ 1 0) into 1
3.922 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
3.922 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.922 * [backup-simplify]: Simplify (+ 0 0) into 0
3.922 * [backup-simplify]: Simplify (+ 0 0) into 0
3.923 * [backup-simplify]: Simplify (+ 1 0) into 1
3.923 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.923 * [backup-simplify]: Simplify (+ 1 0) into 1
3.923 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
3.924 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
3.924 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
3.924 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
3.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.924 * [taylor]: Taking taylor expansion of 2.0 in beta
3.924 * [backup-simplify]: Simplify 2.0 into 2.0
3.925 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.925 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.925 * [taylor]: Taking taylor expansion of beta in beta
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 1 into 1
3.925 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.925 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.925 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.925 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.925 * [taylor]: Taking taylor expansion of 2.0 in beta
3.925 * [backup-simplify]: Simplify 2.0 into 2.0
3.925 * [taylor]: Taking taylor expansion of i in beta
3.925 * [backup-simplify]: Simplify i into i
3.925 * [taylor]: Taking taylor expansion of beta in beta
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 1 into 1
3.925 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.925 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.925 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.925 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.925 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.925 * [taylor]: Taking taylor expansion of 2.0 in beta
3.925 * [backup-simplify]: Simplify 2.0 into 2.0
3.925 * [taylor]: Taking taylor expansion of i in beta
3.925 * [backup-simplify]: Simplify i into i
3.925 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.925 * [taylor]: Taking taylor expansion of beta in beta
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 1 into 1
3.925 * [taylor]: Taking taylor expansion of 2.0 in beta
3.925 * [backup-simplify]: Simplify 2.0 into 2.0
3.925 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.925 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.925 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.926 * [backup-simplify]: Simplify (* 1 1) into 1
3.926 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.926 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.926 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.926 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.926 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
3.926 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.926 * [taylor]: Taking taylor expansion of 4.0 in beta
3.926 * [backup-simplify]: Simplify 4.0 into 4.0
3.926 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.926 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.926 * [taylor]: Taking taylor expansion of i in beta
3.926 * [backup-simplify]: Simplify i into i
3.926 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.927 * [taylor]: Taking taylor expansion of beta in beta
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.927 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.927 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.927 * [taylor]: Taking taylor expansion of 2.0 in beta
3.927 * [backup-simplify]: Simplify 2.0 into 2.0
3.927 * [taylor]: Taking taylor expansion of i in beta
3.927 * [backup-simplify]: Simplify i into i
3.927 * [taylor]: Taking taylor expansion of beta in beta
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.927 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.927 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.927 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.927 * [taylor]: Taking taylor expansion of 2.0 in beta
3.927 * [backup-simplify]: Simplify 2.0 into 2.0
3.927 * [taylor]: Taking taylor expansion of i in beta
3.927 * [backup-simplify]: Simplify i into i
3.927 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.927 * [taylor]: Taking taylor expansion of beta in beta
3.927 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify 1 into 1
3.927 * [taylor]: Taking taylor expansion of 2.0 in beta
3.927 * [backup-simplify]: Simplify 2.0 into 2.0
3.927 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.927 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.927 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.928 * [backup-simplify]: Simplify (* 1 1) into 1
3.928 * [backup-simplify]: Simplify (* i 1) into i
3.928 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.928 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.928 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.928 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
3.928 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.928 * [taylor]: Taking taylor expansion of 2 in beta
3.928 * [backup-simplify]: Simplify 2 into 2
3.928 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.928 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.928 * [taylor]: Taking taylor expansion of beta in beta
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.928 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.928 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.928 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.928 * [taylor]: Taking taylor expansion of 2.0 in beta
3.929 * [backup-simplify]: Simplify 2.0 into 2.0
3.929 * [taylor]: Taking taylor expansion of i in beta
3.929 * [backup-simplify]: Simplify i into i
3.929 * [taylor]: Taking taylor expansion of beta in beta
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.929 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.929 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.929 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.929 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.929 * [taylor]: Taking taylor expansion of 2.0 in beta
3.929 * [backup-simplify]: Simplify 2.0 into 2.0
3.929 * [taylor]: Taking taylor expansion of i in beta
3.929 * [backup-simplify]: Simplify i into i
3.929 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.929 * [taylor]: Taking taylor expansion of beta in beta
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [taylor]: Taking taylor expansion of 2.0 in beta
3.929 * [backup-simplify]: Simplify 2.0 into 2.0
3.929 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.929 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.929 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.929 * [backup-simplify]: Simplify (* 1 1) into 1
3.930 * [backup-simplify]: Simplify (* 1 1) into 1
3.930 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.930 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.930 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.930 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.931 * [backup-simplify]: Simplify (- 0) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
3.932 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.933 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [backup-simplify]: Simplify (+ 0 0) into 0
3.934 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
3.938 * [backup-simplify]: Simplify (- (/ (- 1) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
3.938 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
3.938 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
3.938 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.938 * [taylor]: Taking taylor expansion of 8.0 in beta
3.938 * [backup-simplify]: Simplify 8.0 into 8.0
3.938 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.938 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.938 * [taylor]: Taking taylor expansion of beta in beta
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 1 into 1
3.938 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.938 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.938 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.938 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.938 * [taylor]: Taking taylor expansion of 2.0 in beta
3.938 * [backup-simplify]: Simplify 2.0 into 2.0
3.938 * [taylor]: Taking taylor expansion of i in beta
3.938 * [backup-simplify]: Simplify i into i
3.938 * [taylor]: Taking taylor expansion of beta in beta
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 1 into 1
3.938 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.938 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.939 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.939 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.939 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.939 * [taylor]: Taking taylor expansion of 2.0 in beta
3.939 * [backup-simplify]: Simplify 2.0 into 2.0
3.939 * [taylor]: Taking taylor expansion of i in beta
3.939 * [backup-simplify]: Simplify i into i
3.939 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.939 * [taylor]: Taking taylor expansion of beta in beta
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 1 into 1
3.939 * [taylor]: Taking taylor expansion of 2.0 in beta
3.939 * [backup-simplify]: Simplify 2.0 into 2.0
3.939 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.939 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.939 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.939 * [backup-simplify]: Simplify (* 1 1) into 1
3.940 * [backup-simplify]: Simplify (* 1 1) into 1
3.940 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.940 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.940 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.940 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.940 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.940 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.940 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
3.941 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.941 * [taylor]: Taking taylor expansion of 16.0 in beta
3.941 * [backup-simplify]: Simplify 16.0 into 16.0
3.941 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.941 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
3.941 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.941 * [taylor]: Taking taylor expansion of i in beta
3.941 * [backup-simplify]: Simplify i into i
3.941 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.941 * [taylor]: Taking taylor expansion of beta in beta
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.941 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.941 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.941 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.941 * [taylor]: Taking taylor expansion of 2.0 in beta
3.941 * [backup-simplify]: Simplify 2.0 into 2.0
3.941 * [taylor]: Taking taylor expansion of i in beta
3.941 * [backup-simplify]: Simplify i into i
3.941 * [taylor]: Taking taylor expansion of beta in beta
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.941 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.941 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.941 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.941 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.941 * [taylor]: Taking taylor expansion of 2.0 in beta
3.941 * [backup-simplify]: Simplify 2.0 into 2.0
3.941 * [taylor]: Taking taylor expansion of i in beta
3.941 * [backup-simplify]: Simplify i into i
3.941 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.941 * [taylor]: Taking taylor expansion of beta in beta
3.941 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify 1 into 1
3.941 * [taylor]: Taking taylor expansion of 2.0 in beta
3.941 * [backup-simplify]: Simplify 2.0 into 2.0
3.941 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.942 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.942 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.942 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.942 * [backup-simplify]: Simplify (* 1 1) into 1
3.942 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
3.942 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.942 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.942 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.942 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.943 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.943 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
3.943 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
3.943 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.943 * [taylor]: Taking taylor expansion of 4 in beta
3.943 * [backup-simplify]: Simplify 4 into 4
3.943 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.943 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
3.943 * [taylor]: Taking taylor expansion of beta in beta
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.943 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.943 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.943 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.943 * [taylor]: Taking taylor expansion of 2.0 in beta
3.943 * [backup-simplify]: Simplify 2.0 into 2.0
3.943 * [taylor]: Taking taylor expansion of i in beta
3.943 * [backup-simplify]: Simplify i into i
3.943 * [taylor]: Taking taylor expansion of beta in beta
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.943 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.943 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.943 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.943 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.943 * [taylor]: Taking taylor expansion of 2.0 in beta
3.943 * [backup-simplify]: Simplify 2.0 into 2.0
3.943 * [taylor]: Taking taylor expansion of i in beta
3.943 * [backup-simplify]: Simplify i into i
3.943 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.943 * [taylor]: Taking taylor expansion of beta in beta
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [taylor]: Taking taylor expansion of 2.0 in beta
3.943 * [backup-simplify]: Simplify 2.0 into 2.0
3.944 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.944 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.944 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.944 * [backup-simplify]: Simplify (* 1 1) into 1
3.944 * [backup-simplify]: Simplify (* 1 1) into 1
3.944 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.945 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.945 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.945 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.945 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.945 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.945 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
3.945 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.945 * [taylor]: Taking taylor expansion of 16.0 in beta
3.945 * [backup-simplify]: Simplify 16.0 into 16.0
3.945 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.945 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
3.945 * [taylor]: Taking taylor expansion of i in beta
3.945 * [backup-simplify]: Simplify i into i
3.945 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.945 * [taylor]: Taking taylor expansion of beta in beta
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.945 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.945 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.945 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.945 * [taylor]: Taking taylor expansion of 2.0 in beta
3.946 * [backup-simplify]: Simplify 2.0 into 2.0
3.946 * [taylor]: Taking taylor expansion of i in beta
3.946 * [backup-simplify]: Simplify i into i
3.946 * [taylor]: Taking taylor expansion of beta in beta
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 1 into 1
3.946 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.946 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.946 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.946 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.946 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.946 * [taylor]: Taking taylor expansion of 2.0 in beta
3.946 * [backup-simplify]: Simplify 2.0 into 2.0
3.946 * [taylor]: Taking taylor expansion of i in beta
3.946 * [backup-simplify]: Simplify i into i
3.946 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.946 * [taylor]: Taking taylor expansion of beta in beta
3.946 * [backup-simplify]: Simplify 0 into 0
3.946 * [backup-simplify]: Simplify 1 into 1
3.946 * [taylor]: Taking taylor expansion of 2.0 in beta
3.946 * [backup-simplify]: Simplify 2.0 into 2.0
3.946 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.946 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.946 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.947 * [backup-simplify]: Simplify (* 1 1) into 1
3.947 * [backup-simplify]: Simplify (* 1 1) into 1
3.947 * [backup-simplify]: Simplify (* i 1) into i
3.947 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.947 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.947 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.947 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.947 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.948 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
3.948 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
3.948 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.948 * [taylor]: Taking taylor expansion of 16.0 in beta
3.948 * [backup-simplify]: Simplify 16.0 into 16.0
3.948 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.948 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.948 * [taylor]: Taking taylor expansion of i in beta
3.948 * [backup-simplify]: Simplify i into i
3.948 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.948 * [taylor]: Taking taylor expansion of beta in beta
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.948 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.948 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.948 * [taylor]: Taking taylor expansion of 2.0 in beta
3.948 * [backup-simplify]: Simplify 2.0 into 2.0
3.948 * [taylor]: Taking taylor expansion of i in beta
3.948 * [backup-simplify]: Simplify i into i
3.948 * [taylor]: Taking taylor expansion of beta in beta
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.948 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.948 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.948 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.948 * [taylor]: Taking taylor expansion of 2.0 in beta
3.948 * [backup-simplify]: Simplify 2.0 into 2.0
3.948 * [taylor]: Taking taylor expansion of i in beta
3.948 * [backup-simplify]: Simplify i into i
3.948 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.948 * [taylor]: Taking taylor expansion of beta in beta
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [taylor]: Taking taylor expansion of 2.0 in beta
3.948 * [backup-simplify]: Simplify 2.0 into 2.0
3.948 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.949 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.949 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.949 * [backup-simplify]: Simplify (* 1 1) into 1
3.949 * [backup-simplify]: Simplify (* i 1) into i
3.949 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.949 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.949 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.949 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.950 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.950 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
3.950 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.950 * [taylor]: Taking taylor expansion of 4.0 in beta
3.950 * [backup-simplify]: Simplify 4.0 into 4.0
3.950 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.950 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.950 * [taylor]: Taking taylor expansion of beta in beta
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.950 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.950 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.950 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.950 * [taylor]: Taking taylor expansion of 2.0 in beta
3.950 * [backup-simplify]: Simplify 2.0 into 2.0
3.950 * [taylor]: Taking taylor expansion of i in beta
3.950 * [backup-simplify]: Simplify i into i
3.950 * [taylor]: Taking taylor expansion of beta in beta
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.950 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.950 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.950 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.950 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.950 * [taylor]: Taking taylor expansion of 2.0 in beta
3.950 * [backup-simplify]: Simplify 2.0 into 2.0
3.950 * [taylor]: Taking taylor expansion of i in beta
3.950 * [backup-simplify]: Simplify i into i
3.950 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.950 * [taylor]: Taking taylor expansion of beta in beta
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [taylor]: Taking taylor expansion of 2.0 in beta
3.950 * [backup-simplify]: Simplify 2.0 into 2.0
3.950 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.951 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.951 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.951 * [backup-simplify]: Simplify (* 1 1) into 1
3.951 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.951 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.951 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.951 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.952 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.952 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.952 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.952 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.952 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.952 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.952 * [taylor]: Taking taylor expansion of 2.0 in beta
3.952 * [backup-simplify]: Simplify 2.0 into 2.0
3.952 * [taylor]: Taking taylor expansion of i in beta
3.952 * [backup-simplify]: Simplify i into i
3.952 * [taylor]: Taking taylor expansion of beta in beta
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.952 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.952 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.952 * [taylor]: Taking taylor expansion of 2.0 in beta
3.952 * [backup-simplify]: Simplify 2.0 into 2.0
3.952 * [taylor]: Taking taylor expansion of i in beta
3.952 * [backup-simplify]: Simplify i into i
3.952 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.952 * [taylor]: Taking taylor expansion of beta in beta
3.952 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify 1 into 1
3.952 * [taylor]: Taking taylor expansion of 2.0 in beta
3.952 * [backup-simplify]: Simplify 2.0 into 2.0
3.952 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.952 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.952 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.953 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.953 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.953 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.953 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.953 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.953 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.953 * [taylor]: Taking taylor expansion of beta in beta
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 1 into 1
3.953 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.953 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.953 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.953 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.953 * [taylor]: Taking taylor expansion of 2.0 in beta
3.953 * [backup-simplify]: Simplify 2.0 into 2.0
3.953 * [taylor]: Taking taylor expansion of i in beta
3.953 * [backup-simplify]: Simplify i into i
3.953 * [taylor]: Taking taylor expansion of beta in beta
3.953 * [backup-simplify]: Simplify 0 into 0
3.953 * [backup-simplify]: Simplify 1 into 1
3.953 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.953 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.953 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.953 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.953 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.953 * [taylor]: Taking taylor expansion of 2.0 in beta
3.953 * [backup-simplify]: Simplify 2.0 into 2.0
3.953 * [taylor]: Taking taylor expansion of i in beta
3.953 * [backup-simplify]: Simplify i into i
3.953 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.953 * [taylor]: Taking taylor expansion of beta in beta
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [taylor]: Taking taylor expansion of 2.0 in beta
3.954 * [backup-simplify]: Simplify 2.0 into 2.0
3.954 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.954 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.954 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.954 * [backup-simplify]: Simplify (* 1 1) into 1
3.954 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.954 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.955 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.955 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.955 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
3.955 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.955 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.955 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
3.955 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
3.955 * [taylor]: Taking taylor expansion of 0.5 in i
3.955 * [backup-simplify]: Simplify 0.5 into 0.5
3.955 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
3.955 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.955 * [taylor]: Taking taylor expansion of i in i
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.955 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.955 * [taylor]: Taking taylor expansion of 2.0 in i
3.955 * [backup-simplify]: Simplify 2.0 into 2.0
3.955 * [taylor]: Taking taylor expansion of i in i
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [taylor]: Taking taylor expansion of 2.0 in i
3.955 * [backup-simplify]: Simplify 2.0 into 2.0
3.956 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.956 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.956 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.957 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.957 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.958 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.958 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
3.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.962 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
3.963 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
3.964 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
3.964 * [backup-simplify]: Simplify 0.25 into 0.25
3.964 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
3.964 * [taylor]: Taking taylor expansion of 0.5 in i
3.964 * [backup-simplify]: Simplify 0.5 into 0.5
3.964 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.964 * [taylor]: Taking taylor expansion of i in i
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify 1 into 1
3.964 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.964 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.964 * [taylor]: Taking taylor expansion of 2.0 in i
3.964 * [backup-simplify]: Simplify 2.0 into 2.0
3.964 * [taylor]: Taking taylor expansion of i in i
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify 1 into 1
3.964 * [taylor]: Taking taylor expansion of 2.0 in i
3.964 * [backup-simplify]: Simplify 2.0 into 2.0
3.964 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.964 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.965 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.966 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.966 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.967 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.967 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
3.967 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.971 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
3.971 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
3.971 * [backup-simplify]: Simplify (- 0) into 0
3.971 * [backup-simplify]: Simplify (+ 0 0) into 0
3.972 * [backup-simplify]: Simplify (+ 0 0) into 0
3.972 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
3.973 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
3.973 * [backup-simplify]: Simplify (+ 0 0) into 0
3.973 * [backup-simplify]: Simplify (+ 0 0) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.974 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (+ 0 0) into 0
3.975 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
3.985 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))))
3.986 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))))) in beta
3.986 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
3.986 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.986 * [taylor]: Taking taylor expansion of 4 in beta
3.986 * [backup-simplify]: Simplify 4 into 4
3.986 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.986 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.986 * [taylor]: Taking taylor expansion of beta in beta
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.986 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.986 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.986 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.986 * [taylor]: Taking taylor expansion of 2.0 in beta
3.986 * [backup-simplify]: Simplify 2.0 into 2.0
3.986 * [taylor]: Taking taylor expansion of i in beta
3.986 * [backup-simplify]: Simplify i into i
3.986 * [taylor]: Taking taylor expansion of beta in beta
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.986 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.986 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.986 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.986 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.986 * [taylor]: Taking taylor expansion of 2.0 in beta
3.986 * [backup-simplify]: Simplify 2.0 into 2.0
3.986 * [taylor]: Taking taylor expansion of i in beta
3.986 * [backup-simplify]: Simplify i into i
3.987 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.987 * [taylor]: Taking taylor expansion of beta in beta
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.987 * [taylor]: Taking taylor expansion of 2.0 in beta
3.987 * [backup-simplify]: Simplify 2.0 into 2.0
3.987 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.987 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.987 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.987 * [backup-simplify]: Simplify (* 1 1) into 1
3.988 * [backup-simplify]: Simplify (* 1 1) into 1
3.988 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.988 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.988 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.988 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.988 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.988 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.988 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
3.989 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
3.989 * [taylor]: Taking taylor expansion of 4.0 in beta
3.989 * [backup-simplify]: Simplify 4.0 into 4.0
3.989 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
3.989 * [taylor]: Taking taylor expansion of i in beta
3.989 * [backup-simplify]: Simplify i into i
3.989 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
3.989 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.989 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.989 * [taylor]: Taking taylor expansion of 2.0 in beta
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [taylor]: Taking taylor expansion of i in beta
3.989 * [backup-simplify]: Simplify i into i
3.989 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.989 * [taylor]: Taking taylor expansion of beta in beta
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 1 into 1
3.989 * [taylor]: Taking taylor expansion of 2.0 in beta
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.989 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.989 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.989 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.989 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.989 * [taylor]: Taking taylor expansion of 2.0 in beta
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [taylor]: Taking taylor expansion of i in beta
3.989 * [backup-simplify]: Simplify i into i
3.989 * [taylor]: Taking taylor expansion of beta in beta
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 1 into 1
3.989 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.990 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.990 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.990 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.990 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
3.990 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
3.990 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
3.990 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.990 * [taylor]: Taking taylor expansion of 8.0 in beta
3.990 * [backup-simplify]: Simplify 8.0 into 8.0
3.990 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.990 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.990 * [taylor]: Taking taylor expansion of i in beta
3.990 * [backup-simplify]: Simplify i into i
3.990 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.990 * [taylor]: Taking taylor expansion of beta in beta
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.990 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.990 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.990 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.990 * [taylor]: Taking taylor expansion of 2.0 in beta
3.990 * [backup-simplify]: Simplify 2.0 into 2.0
3.990 * [taylor]: Taking taylor expansion of i in beta
3.990 * [backup-simplify]: Simplify i into i
3.990 * [taylor]: Taking taylor expansion of beta in beta
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.991 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.991 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.991 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.991 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.991 * [taylor]: Taking taylor expansion of 2.0 in beta
3.991 * [backup-simplify]: Simplify 2.0 into 2.0
3.991 * [taylor]: Taking taylor expansion of i in beta
3.991 * [backup-simplify]: Simplify i into i
3.991 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.991 * [taylor]: Taking taylor expansion of beta in beta
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.991 * [taylor]: Taking taylor expansion of 2.0 in beta
3.991 * [backup-simplify]: Simplify 2.0 into 2.0
3.991 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.991 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.991 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.991 * [backup-simplify]: Simplify (* 1 1) into 1
3.991 * [backup-simplify]: Simplify (* i 1) into i
3.992 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.992 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.992 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.992 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.992 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.992 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
3.992 * [taylor]: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
3.992 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.992 * [taylor]: Taking taylor expansion of 2 in beta
3.992 * [backup-simplify]: Simplify 2 into 2
3.992 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.992 * [taylor]: Taking taylor expansion of beta in beta
3.992 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify 1 into 1
3.992 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.993 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.993 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.993 * [taylor]: Taking taylor expansion of 2.0 in beta
3.993 * [backup-simplify]: Simplify 2.0 into 2.0
3.993 * [taylor]: Taking taylor expansion of i in beta
3.993 * [backup-simplify]: Simplify i into i
3.993 * [taylor]: Taking taylor expansion of beta in beta
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 1 into 1
3.993 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.993 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.993 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.993 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.993 * [taylor]: Taking taylor expansion of 2.0 in beta
3.993 * [backup-simplify]: Simplify 2.0 into 2.0
3.993 * [taylor]: Taking taylor expansion of i in beta
3.993 * [backup-simplify]: Simplify i into i
3.993 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.993 * [taylor]: Taking taylor expansion of beta in beta
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 1 into 1
3.993 * [taylor]: Taking taylor expansion of 2.0 in beta
3.993 * [backup-simplify]: Simplify 2.0 into 2.0
3.993 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.993 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.993 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.993 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.994 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.994 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.994 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.994 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
3.994 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.994 * [taylor]: Taking taylor expansion of 2.0 in beta
3.994 * [backup-simplify]: Simplify 2.0 into 2.0
3.994 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.994 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.994 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.994 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.994 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.994 * [taylor]: Taking taylor expansion of 2.0 in beta
3.994 * [backup-simplify]: Simplify 2.0 into 2.0
3.994 * [taylor]: Taking taylor expansion of i in beta
3.994 * [backup-simplify]: Simplify i into i
3.994 * [taylor]: Taking taylor expansion of beta in beta
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 1 into 1
3.994 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.994 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.994 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.994 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.994 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.994 * [taylor]: Taking taylor expansion of 2.0 in beta
3.994 * [backup-simplify]: Simplify 2.0 into 2.0
3.994 * [taylor]: Taking taylor expansion of i in beta
3.994 * [backup-simplify]: Simplify i into i
3.994 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.995 * [taylor]: Taking taylor expansion of beta in beta
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [taylor]: Taking taylor expansion of 2.0 in beta
3.995 * [backup-simplify]: Simplify 2.0 into 2.0
3.995 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.995 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.995 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.995 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.995 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.996 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.996 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
3.996 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
3.996 * [taylor]: Taking taylor expansion of 4.0 in beta
3.996 * [backup-simplify]: Simplify 4.0 into 4.0
3.996 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.996 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.996 * [taylor]: Taking taylor expansion of beta in beta
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.996 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.996 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.996 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.996 * [taylor]: Taking taylor expansion of 2.0 in beta
3.996 * [backup-simplify]: Simplify 2.0 into 2.0
3.996 * [taylor]: Taking taylor expansion of i in beta
3.996 * [backup-simplify]: Simplify i into i
3.996 * [taylor]: Taking taylor expansion of beta in beta
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.996 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.996 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.996 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.996 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.996 * [taylor]: Taking taylor expansion of 2.0 in beta
3.996 * [backup-simplify]: Simplify 2.0 into 2.0
3.996 * [taylor]: Taking taylor expansion of i in beta
3.996 * [backup-simplify]: Simplify i into i
3.996 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.996 * [taylor]: Taking taylor expansion of beta in beta
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [taylor]: Taking taylor expansion of 2.0 in beta
3.996 * [backup-simplify]: Simplify 2.0 into 2.0
3.996 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.997 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.997 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.997 * [backup-simplify]: Simplify (* 1 1) into 1
3.997 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.997 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.997 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.998 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.998 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.998 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
3.998 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))) in beta
3.998 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
3.998 * [taylor]: Taking taylor expansion of 48.0 in beta
3.998 * [backup-simplify]: Simplify 48.0 into 48.0
3.998 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
3.998 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
3.998 * [taylor]: Taking taylor expansion of i in beta
3.998 * [backup-simplify]: Simplify i into i
3.998 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
3.998 * [taylor]: Taking taylor expansion of beta in beta
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.998 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.998 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.998 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.998 * [taylor]: Taking taylor expansion of 2.0 in beta
3.998 * [backup-simplify]: Simplify 2.0 into 2.0
3.998 * [taylor]: Taking taylor expansion of i in beta
3.998 * [backup-simplify]: Simplify i into i
3.998 * [taylor]: Taking taylor expansion of beta in beta
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 1 into 1
3.998 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.998 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.998 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.998 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.999 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.999 * [taylor]: Taking taylor expansion of 2.0 in beta
3.999 * [backup-simplify]: Simplify 2.0 into 2.0
3.999 * [taylor]: Taking taylor expansion of i in beta
3.999 * [backup-simplify]: Simplify i into i
3.999 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.999 * [taylor]: Taking taylor expansion of beta in beta
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 1 into 1
3.999 * [taylor]: Taking taylor expansion of 2.0 in beta
3.999 * [backup-simplify]: Simplify 2.0 into 2.0
3.999 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.999 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.999 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.999 * [backup-simplify]: Simplify (* 1 1) into 1
4.000 * [backup-simplify]: Simplify (* 1 1) into 1
4.000 * [backup-simplify]: Simplify (* i 1) into i
4.000 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.000 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.000 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.000 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.000 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.000 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
4.000 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))) in beta
4.001 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.001 * [taylor]: Taking taylor expansion of 24.0 in beta
4.001 * [backup-simplify]: Simplify 24.0 into 24.0
4.001 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.001 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
4.001 * [taylor]: Taking taylor expansion of beta in beta
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.001 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.001 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.001 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.001 * [taylor]: Taking taylor expansion of 2.0 in beta
4.001 * [backup-simplify]: Simplify 2.0 into 2.0
4.001 * [taylor]: Taking taylor expansion of i in beta
4.001 * [backup-simplify]: Simplify i into i
4.001 * [taylor]: Taking taylor expansion of beta in beta
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.001 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.001 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.001 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.001 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.001 * [taylor]: Taking taylor expansion of 2.0 in beta
4.001 * [backup-simplify]: Simplify 2.0 into 2.0
4.001 * [taylor]: Taking taylor expansion of i in beta
4.001 * [backup-simplify]: Simplify i into i
4.001 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.001 * [taylor]: Taking taylor expansion of beta in beta
4.001 * [backup-simplify]: Simplify 0 into 0
4.001 * [backup-simplify]: Simplify 1 into 1
4.001 * [taylor]: Taking taylor expansion of 2.0 in beta
4.001 * [backup-simplify]: Simplify 2.0 into 2.0
4.001 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.002 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.002 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.002 * [backup-simplify]: Simplify (* 1 1) into 1
4.002 * [backup-simplify]: Simplify (* 1 1) into 1
4.002 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.002 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.002 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.003 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.003 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.003 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.003 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))) in beta
4.003 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.003 * [taylor]: Taking taylor expansion of 96.0 in beta
4.003 * [backup-simplify]: Simplify 96.0 into 96.0
4.003 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.003 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
4.003 * [taylor]: Taking taylor expansion of i in beta
4.003 * [backup-simplify]: Simplify i into i
4.003 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
4.003 * [taylor]: Taking taylor expansion of beta in beta
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.003 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.003 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.003 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.003 * [taylor]: Taking taylor expansion of 2.0 in beta
4.003 * [backup-simplify]: Simplify 2.0 into 2.0
4.003 * [taylor]: Taking taylor expansion of i in beta
4.003 * [backup-simplify]: Simplify i into i
4.003 * [taylor]: Taking taylor expansion of beta in beta
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.003 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.003 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.004 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.004 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.004 * [taylor]: Taking taylor expansion of 2.0 in beta
4.004 * [backup-simplify]: Simplify 2.0 into 2.0
4.004 * [taylor]: Taking taylor expansion of i in beta
4.004 * [backup-simplify]: Simplify i into i
4.004 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.004 * [taylor]: Taking taylor expansion of beta in beta
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 1 into 1
4.004 * [taylor]: Taking taylor expansion of 2.0 in beta
4.004 * [backup-simplify]: Simplify 2.0 into 2.0
4.004 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.004 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.004 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.004 * [backup-simplify]: Simplify (* 1 1) into 1
4.005 * [backup-simplify]: Simplify (* 1 1) into 1
4.005 * [backup-simplify]: Simplify (* i 1) into i
4.005 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.005 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.005 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.005 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.005 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.005 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
4.006 * [taylor]: Taking taylor expansion of (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))) in beta
4.006 * [taylor]: Taking taylor expansion of (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.006 * [taylor]: Taking taylor expansion of 8 in beta
4.006 * [backup-simplify]: Simplify 8 into 8
4.006 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.006 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
4.006 * [taylor]: Taking taylor expansion of beta in beta
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.006 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.006 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.006 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.006 * [taylor]: Taking taylor expansion of 2.0 in beta
4.006 * [backup-simplify]: Simplify 2.0 into 2.0
4.006 * [taylor]: Taking taylor expansion of i in beta
4.006 * [backup-simplify]: Simplify i into i
4.006 * [taylor]: Taking taylor expansion of beta in beta
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.006 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.006 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.006 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.006 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.006 * [taylor]: Taking taylor expansion of 2.0 in beta
4.006 * [backup-simplify]: Simplify 2.0 into 2.0
4.006 * [taylor]: Taking taylor expansion of i in beta
4.006 * [backup-simplify]: Simplify i into i
4.006 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.006 * [taylor]: Taking taylor expansion of beta in beta
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [taylor]: Taking taylor expansion of 2.0 in beta
4.006 * [backup-simplify]: Simplify 2.0 into 2.0
4.006 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.007 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.007 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.007 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.007 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.008 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.008 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.008 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.008 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.008 * [taylor]: Taking taylor expansion of (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))) in beta
4.008 * [taylor]: Taking taylor expansion of (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.008 * [taylor]: Taking taylor expansion of 64.0 in beta
4.008 * [backup-simplify]: Simplify 64.0 into 64.0
4.008 * [taylor]: Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.008 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
4.008 * [taylor]: Taking taylor expansion of (pow i 3) in beta
4.008 * [taylor]: Taking taylor expansion of i in beta
4.008 * [backup-simplify]: Simplify i into i
4.008 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.008 * [taylor]: Taking taylor expansion of beta in beta
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 1 into 1
4.008 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.008 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.009 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.009 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.009 * [taylor]: Taking taylor expansion of 2.0 in beta
4.009 * [backup-simplify]: Simplify 2.0 into 2.0
4.009 * [taylor]: Taking taylor expansion of i in beta
4.009 * [backup-simplify]: Simplify i into i
4.009 * [taylor]: Taking taylor expansion of beta in beta
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.009 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.009 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.009 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.009 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.009 * [taylor]: Taking taylor expansion of 2.0 in beta
4.009 * [backup-simplify]: Simplify 2.0 into 2.0
4.009 * [taylor]: Taking taylor expansion of i in beta
4.009 * [backup-simplify]: Simplify i into i
4.009 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.009 * [taylor]: Taking taylor expansion of beta in beta
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [taylor]: Taking taylor expansion of 2.0 in beta
4.009 * [backup-simplify]: Simplify 2.0 into 2.0
4.009 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.014 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.014 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.014 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.014 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
4.014 * [backup-simplify]: Simplify (* 1 1) into 1
4.014 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
4.014 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.015 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.015 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.015 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.015 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.015 * [backup-simplify]: Simplify (/ (pow i 3) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* i (pow (+ (* 2.0 i) 2.0) 4)))
4.015 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))) in beta
4.015 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.015 * [taylor]: Taking taylor expansion of 96.0 in beta
4.015 * [backup-simplify]: Simplify 96.0 into 96.0
4.015 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.015 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
4.015 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.016 * [taylor]: Taking taylor expansion of i in beta
4.016 * [backup-simplify]: Simplify i into i
4.016 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
4.016 * [taylor]: Taking taylor expansion of beta in beta
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.016 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.016 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.016 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.016 * [taylor]: Taking taylor expansion of 2.0 in beta
4.016 * [backup-simplify]: Simplify 2.0 into 2.0
4.016 * [taylor]: Taking taylor expansion of i in beta
4.016 * [backup-simplify]: Simplify i into i
4.016 * [taylor]: Taking taylor expansion of beta in beta
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.016 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.016 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.016 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.016 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.016 * [taylor]: Taking taylor expansion of 2.0 in beta
4.016 * [backup-simplify]: Simplify 2.0 into 2.0
4.016 * [taylor]: Taking taylor expansion of i in beta
4.016 * [backup-simplify]: Simplify i into i
4.016 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.016 * [taylor]: Taking taylor expansion of beta in beta
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [taylor]: Taking taylor expansion of 2.0 in beta
4.016 * [backup-simplify]: Simplify 2.0 into 2.0
4.016 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.016 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.016 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.017 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.017 * [backup-simplify]: Simplify (* 1 1) into 1
4.017 * [backup-simplify]: Simplify (* 1 1) into 1
4.017 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
4.017 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.017 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.017 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.018 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.018 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.018 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
4.018 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))) in beta
4.018 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.018 * [taylor]: Taking taylor expansion of 24.0 in beta
4.018 * [backup-simplify]: Simplify 24.0 into 24.0
4.018 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.018 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
4.018 * [taylor]: Taking taylor expansion of beta in beta
4.018 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify 1 into 1
4.018 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.018 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.018 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.018 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.018 * [taylor]: Taking taylor expansion of 2.0 in beta
4.018 * [backup-simplify]: Simplify 2.0 into 2.0
4.018 * [taylor]: Taking taylor expansion of i in beta
4.018 * [backup-simplify]: Simplify i into i
4.018 * [taylor]: Taking taylor expansion of beta in beta
4.018 * [backup-simplify]: Simplify 0 into 0
4.018 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.018 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.018 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.019 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.019 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.019 * [taylor]: Taking taylor expansion of 2.0 in beta
4.019 * [backup-simplify]: Simplify 2.0 into 2.0
4.019 * [taylor]: Taking taylor expansion of i in beta
4.019 * [backup-simplify]: Simplify i into i
4.019 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.019 * [taylor]: Taking taylor expansion of beta in beta
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.019 * [taylor]: Taking taylor expansion of 2.0 in beta
4.019 * [backup-simplify]: Simplify 2.0 into 2.0
4.019 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.019 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.019 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.019 * [backup-simplify]: Simplify (* 1 1) into 1
4.020 * [backup-simplify]: Simplify (* 1 1) into 1
4.020 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.020 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.020 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.020 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.020 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.020 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.020 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))) in beta
4.021 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.021 * [taylor]: Taking taylor expansion of 8.0 in beta
4.021 * [backup-simplify]: Simplify 8.0 into 8.0
4.021 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.021 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.021 * [taylor]: Taking taylor expansion of beta in beta
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.021 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.021 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.021 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.021 * [taylor]: Taking taylor expansion of 2.0 in beta
4.021 * [backup-simplify]: Simplify 2.0 into 2.0
4.021 * [taylor]: Taking taylor expansion of i in beta
4.021 * [backup-simplify]: Simplify i into i
4.021 * [taylor]: Taking taylor expansion of beta in beta
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.021 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.021 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.021 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.021 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.021 * [taylor]: Taking taylor expansion of 2.0 in beta
4.021 * [backup-simplify]: Simplify 2.0 into 2.0
4.021 * [taylor]: Taking taylor expansion of i in beta
4.021 * [backup-simplify]: Simplify i into i
4.021 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.021 * [taylor]: Taking taylor expansion of beta in beta
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [taylor]: Taking taylor expansion of 2.0 in beta
4.021 * [backup-simplify]: Simplify 2.0 into 2.0
4.021 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.021 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.022 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.022 * [backup-simplify]: Simplify (* 1 1) into 1
4.022 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.022 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.022 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.022 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.022 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.023 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.023 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))) in beta
4.023 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.023 * [taylor]: Taking taylor expansion of 48.0 in beta
4.023 * [backup-simplify]: Simplify 48.0 into 48.0
4.023 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.023 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
4.023 * [taylor]: Taking taylor expansion of i in beta
4.023 * [backup-simplify]: Simplify i into i
4.023 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.023 * [taylor]: Taking taylor expansion of beta in beta
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 1 into 1
4.023 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.023 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.023 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.023 * [taylor]: Taking taylor expansion of 2.0 in beta
4.023 * [backup-simplify]: Simplify 2.0 into 2.0
4.023 * [taylor]: Taking taylor expansion of i in beta
4.023 * [backup-simplify]: Simplify i into i
4.023 * [taylor]: Taking taylor expansion of beta in beta
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 1 into 1
4.023 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.023 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.023 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.023 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.023 * [taylor]: Taking taylor expansion of 2.0 in beta
4.023 * [backup-simplify]: Simplify 2.0 into 2.0
4.023 * [taylor]: Taking taylor expansion of i in beta
4.023 * [backup-simplify]: Simplify i into i
4.023 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.023 * [taylor]: Taking taylor expansion of beta in beta
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 1 into 1
4.023 * [taylor]: Taking taylor expansion of 2.0 in beta
4.023 * [backup-simplify]: Simplify 2.0 into 2.0
4.023 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.024 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.024 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.024 * [backup-simplify]: Simplify (* 1 1) into 1
4.024 * [backup-simplify]: Simplify (* i 1) into i
4.024 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.024 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.024 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.025 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.025 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.025 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
4.025 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
4.025 * [taylor]: Taking taylor expansion of 96.0 in beta
4.025 * [backup-simplify]: Simplify 96.0 into 96.0
4.025 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
4.025 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
4.025 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.025 * [taylor]: Taking taylor expansion of i in beta
4.025 * [backup-simplify]: Simplify i into i
4.025 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.025 * [taylor]: Taking taylor expansion of beta in beta
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
4.025 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
4.025 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.025 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.025 * [taylor]: Taking taylor expansion of 2.0 in beta
4.025 * [backup-simplify]: Simplify 2.0 into 2.0
4.025 * [taylor]: Taking taylor expansion of i in beta
4.025 * [backup-simplify]: Simplify i into i
4.025 * [taylor]: Taking taylor expansion of beta in beta
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.025 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.025 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.026 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
4.026 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
4.026 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.026 * [taylor]: Taking taylor expansion of 2.0 in beta
4.026 * [backup-simplify]: Simplify 2.0 into 2.0
4.026 * [taylor]: Taking taylor expansion of i in beta
4.026 * [backup-simplify]: Simplify i into i
4.026 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
4.026 * [taylor]: Taking taylor expansion of beta in beta
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.026 * [taylor]: Taking taylor expansion of 2.0 in beta
4.026 * [backup-simplify]: Simplify 2.0 into 2.0
4.026 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.026 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.026 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.026 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.026 * [backup-simplify]: Simplify (* 1 1) into 1
4.026 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
4.027 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.027 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
4.027 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.027 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
4.027 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
4.027 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
4.028 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
4.028 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.028 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) 0) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
4.028 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
4.029 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
4.029 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
4.029 * [backup-simplify]: Simplify (+ 0 (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
4.030 * [backup-simplify]: Simplify (+ (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) 0) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
4.030 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) in i
4.030 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
4.030 * [taylor]: Taking taylor expansion of 0.5 in i
4.030 * [backup-simplify]: Simplify 0.5 into 0.5
4.030 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
4.030 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
4.030 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.030 * [taylor]: Taking taylor expansion of i in i
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
4.030 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.030 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.030 * [taylor]: Taking taylor expansion of 2.0 in i
4.030 * [backup-simplify]: Simplify 2.0 into 2.0
4.030 * [taylor]: Taking taylor expansion of i in i
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [taylor]: Taking taylor expansion of 2.0 in i
4.030 * [backup-simplify]: Simplify 2.0 into 2.0
4.030 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.031 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.031 * [backup-simplify]: Simplify (* 1 1) into 1
4.031 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.031 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
4.032 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
4.032 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
4.032 * [taylor]: Taking taylor expansion of 1.0 in i
4.032 * [backup-simplify]: Simplify 1.0 into 1.0
4.032 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
4.032 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
4.032 * [taylor]: Taking taylor expansion of i in i
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
4.032 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.032 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.032 * [taylor]: Taking taylor expansion of 2.0 in i
4.032 * [backup-simplify]: Simplify 2.0 into 2.0
4.032 * [taylor]: Taking taylor expansion of i in i
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [taylor]: Taking taylor expansion of 2.0 in i
4.032 * [backup-simplify]: Simplify 2.0 into 2.0
4.032 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.033 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.033 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.033 * [backup-simplify]: Simplify (* 0 4.0) into 0
4.034 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.034 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.035 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
4.036 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
4.036 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
4.037 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.037 * [backup-simplify]: Simplify (+ 0 0) into 0
4.038 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.038 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.040 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.041 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.042 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
4.043 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
4.045 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
4.047 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
4.049 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
4.049 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.051 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
4.052 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
4.054 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
4.055 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
4.056 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
4.056 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
4.057 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (* 0.25 (pow (* 1 (* 1 alpha)) 2)))) into (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
4.057 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
4.057 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
4.057 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
4.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
4.057 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
4.057 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.057 * [taylor]: Taking taylor expansion of alpha in i
4.057 * [backup-simplify]: Simplify alpha into alpha
4.057 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.057 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.057 * [taylor]: Taking taylor expansion of beta in i
4.057 * [backup-simplify]: Simplify beta into beta
4.057 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.058 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
4.058 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.058 * [taylor]: Taking taylor expansion of beta in i
4.058 * [backup-simplify]: Simplify beta into beta
4.058 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.058 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.058 * [taylor]: Taking taylor expansion of alpha in i
4.058 * [backup-simplify]: Simplify alpha into alpha
4.058 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.058 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
4.058 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.058 * [taylor]: Taking taylor expansion of alpha in i
4.058 * [backup-simplify]: Simplify alpha into alpha
4.058 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
4.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.058 * [taylor]: Taking taylor expansion of 2.0 in i
4.058 * [backup-simplify]: Simplify 2.0 into 2.0
4.058 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.058 * [taylor]: Taking taylor expansion of i in i
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [backup-simplify]: Simplify (/ 1 1) into 1
4.058 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
4.058 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.058 * [taylor]: Taking taylor expansion of beta in i
4.058 * [backup-simplify]: Simplify beta into beta
4.058 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.058 * [taylor]: Taking taylor expansion of 2.0 in i
4.058 * [backup-simplify]: Simplify 2.0 into 2.0
4.058 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.058 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.058 * [taylor]: Taking taylor expansion of alpha in i
4.058 * [backup-simplify]: Simplify alpha into alpha
4.058 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.059 * [taylor]: Taking taylor expansion of 2.0 in i
4.059 * [backup-simplify]: Simplify 2.0 into 2.0
4.059 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.059 * [taylor]: Taking taylor expansion of i in i
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 1 into 1
4.059 * [backup-simplify]: Simplify (/ 1 1) into 1
4.059 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.059 * [taylor]: Taking taylor expansion of beta in i
4.059 * [backup-simplify]: Simplify beta into beta
4.059 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.059 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
4.059 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.059 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
4.059 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
4.060 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.060 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.060 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.060 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.061 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.061 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.061 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.061 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
4.061 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.061 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
4.061 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.061 * [taylor]: Taking taylor expansion of alpha in beta
4.061 * [backup-simplify]: Simplify alpha into alpha
4.061 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.061 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.061 * [taylor]: Taking taylor expansion of beta in beta
4.061 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.062 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.062 * [taylor]: Taking taylor expansion of beta in beta
4.062 * [backup-simplify]: Simplify 0 into 0
4.062 * [backup-simplify]: Simplify 1 into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.062 * [taylor]: Taking taylor expansion of alpha in beta
4.062 * [backup-simplify]: Simplify alpha into alpha
4.062 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.062 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.062 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
4.062 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.062 * [taylor]: Taking taylor expansion of alpha in beta
4.062 * [backup-simplify]: Simplify alpha into alpha
4.062 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.062 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
4.062 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.062 * [taylor]: Taking taylor expansion of 2.0 in beta
4.062 * [backup-simplify]: Simplify 2.0 into 2.0
4.062 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.062 * [taylor]: Taking taylor expansion of i in beta
4.062 * [backup-simplify]: Simplify i into i
4.062 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.062 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
4.062 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.063 * [taylor]: Taking taylor expansion of beta in beta
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [backup-simplify]: Simplify (/ 1 1) into 1
4.063 * [taylor]: Taking taylor expansion of 2.0 in beta
4.063 * [backup-simplify]: Simplify 2.0 into 2.0
4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.063 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.063 * [taylor]: Taking taylor expansion of alpha in beta
4.063 * [backup-simplify]: Simplify alpha into alpha
4.063 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.063 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.063 * [taylor]: Taking taylor expansion of 2.0 in beta
4.063 * [backup-simplify]: Simplify 2.0 into 2.0
4.063 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.063 * [taylor]: Taking taylor expansion of i in beta
4.063 * [backup-simplify]: Simplify i into i
4.063 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.063 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.063 * [taylor]: Taking taylor expansion of beta in beta
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [backup-simplify]: Simplify (/ 1 1) into 1
4.064 * [backup-simplify]: Simplify (+ 0 1) into 1
4.064 * [backup-simplify]: Simplify (+ 1 0) into 1
4.064 * [backup-simplify]: Simplify (* 1 1) into 1
4.064 * [backup-simplify]: Simplify (+ 1 0) into 1
4.065 * [backup-simplify]: Simplify (+ 0 1) into 1
4.065 * [backup-simplify]: Simplify (+ 0 1) into 1
4.065 * [backup-simplify]: Simplify (+ 0 1) into 1
4.065 * [backup-simplify]: Simplify (+ 0 1) into 1
4.066 * [backup-simplify]: Simplify (* 1 1) into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.066 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.066 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
4.066 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
4.066 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.066 * [taylor]: Taking taylor expansion of alpha in alpha
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.066 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.066 * [taylor]: Taking taylor expansion of beta in alpha
4.066 * [backup-simplify]: Simplify beta into beta
4.066 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.066 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
4.066 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.066 * [taylor]: Taking taylor expansion of beta in alpha
4.066 * [backup-simplify]: Simplify beta into beta
4.066 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.066 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.066 * [taylor]: Taking taylor expansion of alpha in alpha
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (/ 1 1) into 1
4.067 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.067 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.067 * [taylor]: Taking taylor expansion of alpha in alpha
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (/ 1 1) into 1
4.067 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.067 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.067 * [backup-simplify]: Simplify 2.0 into 2.0
4.067 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.067 * [taylor]: Taking taylor expansion of i in alpha
4.067 * [backup-simplify]: Simplify i into i
4.067 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.067 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.067 * [taylor]: Taking taylor expansion of beta in alpha
4.067 * [backup-simplify]: Simplify beta into beta
4.067 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.067 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.067 * [backup-simplify]: Simplify 2.0 into 2.0
4.067 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.067 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.067 * [taylor]: Taking taylor expansion of alpha in alpha
4.067 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.068 * [backup-simplify]: Simplify (/ 1 1) into 1
4.068 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.068 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.068 * [backup-simplify]: Simplify 2.0 into 2.0
4.068 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.068 * [taylor]: Taking taylor expansion of i in alpha
4.068 * [backup-simplify]: Simplify i into i
4.068 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.068 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.068 * [taylor]: Taking taylor expansion of beta in alpha
4.068 * [backup-simplify]: Simplify beta into beta
4.068 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.068 * [backup-simplify]: Simplify (+ 1 0) into 1
4.068 * [backup-simplify]: Simplify (- 1) into -1
4.069 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.069 * [backup-simplify]: Simplify (* 1 -1) into -1
4.069 * [backup-simplify]: Simplify (+ 1 0) into 1
4.069 * [backup-simplify]: Simplify (+ 1 0) into 1
4.070 * [backup-simplify]: Simplify (* 1 1) into 1
4.070 * [backup-simplify]: Simplify (/ -1 1) into -1
4.070 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
4.070 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.070 * [taylor]: Taking taylor expansion of alpha in alpha
4.070 * [backup-simplify]: Simplify 0 into 0
4.070 * [backup-simplify]: Simplify 1 into 1
4.070 * [backup-simplify]: Simplify (/ 1 1) into 1
4.070 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.070 * [taylor]: Taking taylor expansion of beta in alpha
4.070 * [backup-simplify]: Simplify beta into beta
4.070 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.070 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
4.070 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.071 * [taylor]: Taking taylor expansion of beta in alpha
4.071 * [backup-simplify]: Simplify beta into beta
4.071 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.071 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.071 * [taylor]: Taking taylor expansion of alpha in alpha
4.071 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify 1 into 1
4.071 * [backup-simplify]: Simplify (/ 1 1) into 1
4.071 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.071 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.071 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.071 * [taylor]: Taking taylor expansion of alpha in alpha
4.071 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify 1 into 1
4.071 * [backup-simplify]: Simplify (/ 1 1) into 1
4.071 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.071 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.071 * [backup-simplify]: Simplify 2.0 into 2.0
4.071 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.071 * [taylor]: Taking taylor expansion of i in alpha
4.071 * [backup-simplify]: Simplify i into i
4.071 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.071 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.071 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.071 * [taylor]: Taking taylor expansion of beta in alpha
4.071 * [backup-simplify]: Simplify beta into beta
4.071 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.071 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.072 * [backup-simplify]: Simplify 2.0 into 2.0
4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.072 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.072 * [taylor]: Taking taylor expansion of alpha in alpha
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify 1 into 1
4.072 * [backup-simplify]: Simplify (/ 1 1) into 1
4.072 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.072 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.072 * [backup-simplify]: Simplify 2.0 into 2.0
4.072 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.072 * [taylor]: Taking taylor expansion of i in alpha
4.072 * [backup-simplify]: Simplify i into i
4.072 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.072 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.072 * [taylor]: Taking taylor expansion of beta in alpha
4.072 * [backup-simplify]: Simplify beta into beta
4.072 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.072 * [backup-simplify]: Simplify (+ 1 0) into 1
4.073 * [backup-simplify]: Simplify (- 1) into -1
4.073 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.073 * [backup-simplify]: Simplify (* 1 -1) into -1
4.073 * [backup-simplify]: Simplify (+ 1 0) into 1
4.074 * [backup-simplify]: Simplify (+ 1 0) into 1
4.074 * [backup-simplify]: Simplify (* 1 1) into 1
4.074 * [backup-simplify]: Simplify (/ -1 1) into -1
4.074 * [taylor]: Taking taylor expansion of -1 in beta
4.074 * [backup-simplify]: Simplify -1 into -1
4.074 * [taylor]: Taking taylor expansion of -1 in i
4.074 * [backup-simplify]: Simplify -1 into -1
4.074 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (- 0) into 0
4.075 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.076 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
4.076 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.076 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.076 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.076 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.077 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
4.077 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
4.077 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
4.077 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
4.078 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
4.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
4.078 * [taylor]: Taking taylor expansion of 4.0 in beta
4.078 * [backup-simplify]: Simplify 4.0 into 4.0
4.078 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.078 * [taylor]: Taking taylor expansion of i in beta
4.078 * [backup-simplify]: Simplify i into i
4.078 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.078 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
4.078 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
4.078 * [taylor]: Taking taylor expansion of 2 in beta
4.078 * [backup-simplify]: Simplify 2 into 2
4.078 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.078 * [taylor]: Taking taylor expansion of beta in beta
4.078 * [backup-simplify]: Simplify 0 into 0
4.078 * [backup-simplify]: Simplify 1 into 1
4.078 * [backup-simplify]: Simplify (/ 1 1) into 1
4.078 * [taylor]: Taking taylor expansion of 2.0 in beta
4.078 * [backup-simplify]: Simplify 2.0 into 2.0
4.079 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.080 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.080 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
4.080 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
4.080 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
4.080 * [taylor]: Taking taylor expansion of 4.0 in i
4.080 * [backup-simplify]: Simplify 4.0 into 4.0
4.080 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.080 * [taylor]: Taking taylor expansion of i in i
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify 1 into 1
4.080 * [backup-simplify]: Simplify (/ 1 1) into 1
4.080 * [taylor]: Taking taylor expansion of 2.0 in i
4.080 * [backup-simplify]: Simplify 2.0 into 2.0
4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [taylor]: Taking taylor expansion of 0 in i
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.084 * [backup-simplify]: Simplify (- 0) into 0
4.084 * [backup-simplify]: Simplify (+ 0 0) into 0
4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.085 * [backup-simplify]: Simplify (+ 0 0) into 0
4.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.087 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.089 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
4.092 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
4.092 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) in beta
4.092 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) in beta
4.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
4.092 * [taylor]: Taking taylor expansion of 2 in beta
4.092 * [backup-simplify]: Simplify 2 into 2
4.092 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
4.092 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.092 * [taylor]: Taking taylor expansion of beta in beta
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 1 into 1
4.092 * [backup-simplify]: Simplify (* 1 1) into 1
4.092 * [backup-simplify]: Simplify (/ 1 1) into 1
4.092 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))) in beta
4.092 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
4.092 * [taylor]: Taking taylor expansion of 12.0 in beta
4.092 * [backup-simplify]: Simplify 12.0 into 12.0
4.092 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
4.092 * [taylor]: Taking taylor expansion of (* i beta) in beta
4.093 * [taylor]: Taking taylor expansion of i in beta
4.093 * [backup-simplify]: Simplify i into i
4.093 * [taylor]: Taking taylor expansion of beta in beta
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (* i 0) into 0
4.093 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
4.093 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.093 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
4.093 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
4.093 * [taylor]: Taking taylor expansion of 12.0 in beta
4.093 * [backup-simplify]: Simplify 12.0 into 12.0
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
4.093 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.093 * [taylor]: Taking taylor expansion of i in beta
4.093 * [backup-simplify]: Simplify i into i
4.093 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.093 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.093 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
4.093 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
4.093 * [taylor]: Taking taylor expansion of 12.0 in beta
4.093 * [backup-simplify]: Simplify 12.0 into 12.0
4.093 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.093 * [taylor]: Taking taylor expansion of i in beta
4.093 * [backup-simplify]: Simplify i into i
4.093 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.093 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
4.093 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
4.093 * [taylor]: Taking taylor expansion of 6.0 in beta
4.093 * [backup-simplify]: Simplify 6.0 into 6.0
4.093 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.093 * [taylor]: Taking taylor expansion of beta in beta
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (/ 1 1) into 1
4.094 * [taylor]: Taking taylor expansion of 4.0 in beta
4.094 * [backup-simplify]: Simplify 4.0 into 4.0
4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.096 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.097 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.097 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.097 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
4.097 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
4.099 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.099 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
4.099 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
4.099 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
4.099 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
4.100 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
4.100 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
4.100 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
4.100 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
4.100 * [taylor]: Taking taylor expansion of 12.0 in i
4.100 * [backup-simplify]: Simplify 12.0 into 12.0
4.100 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.100 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.100 * [taylor]: Taking taylor expansion of i in i
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (* 1 1) into 1
4.100 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
4.100 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
4.100 * [taylor]: Taking taylor expansion of 12.0 in i
4.100 * [backup-simplify]: Simplify 12.0 into 12.0
4.100 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.100 * [taylor]: Taking taylor expansion of i in i
4.101 * [backup-simplify]: Simplify 0 into 0
4.101 * [backup-simplify]: Simplify 1 into 1
4.101 * [backup-simplify]: Simplify (/ 1 1) into 1
4.101 * [taylor]: Taking taylor expansion of 4.0 in i
4.101 * [backup-simplify]: Simplify 4.0 into 4.0
4.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify (- 0) into 0
4.115 * [backup-simplify]: Simplify 0 into 0
4.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.117 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [taylor]: Taking taylor expansion of 0 in i
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
4.119 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
4.119 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
4.119 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
4.119 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
4.119 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.119 * [taylor]: Taking taylor expansion of alpha in i
4.119 * [backup-simplify]: Simplify alpha into alpha
4.119 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.119 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.119 * [taylor]: Taking taylor expansion of beta in i
4.119 * [backup-simplify]: Simplify beta into beta
4.119 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.119 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
4.119 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.119 * [taylor]: Taking taylor expansion of alpha in i
4.119 * [backup-simplify]: Simplify alpha into alpha
4.119 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.119 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.119 * [taylor]: Taking taylor expansion of beta in i
4.120 * [backup-simplify]: Simplify beta into beta
4.120 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.120 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.120 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.120 * [taylor]: Taking taylor expansion of 2.0 in i
4.120 * [backup-simplify]: Simplify 2.0 into 2.0
4.120 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.120 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.120 * [taylor]: Taking taylor expansion of alpha in i
4.120 * [backup-simplify]: Simplify alpha into alpha
4.120 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.120 * [taylor]: Taking taylor expansion of 2.0 in i
4.120 * [backup-simplify]: Simplify 2.0 into 2.0
4.120 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.120 * [taylor]: Taking taylor expansion of i in i
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.121 * [backup-simplify]: Simplify (/ 1 1) into 1
4.121 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.121 * [taylor]: Taking taylor expansion of beta in i
4.121 * [backup-simplify]: Simplify beta into beta
4.121 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.121 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.121 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.121 * [taylor]: Taking taylor expansion of alpha in i
4.121 * [backup-simplify]: Simplify alpha into alpha
4.121 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.121 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.121 * [taylor]: Taking taylor expansion of 2.0 in i
4.121 * [backup-simplify]: Simplify 2.0 into 2.0
4.121 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.121 * [taylor]: Taking taylor expansion of i in i
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [backup-simplify]: Simplify (/ 1 1) into 1
4.122 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.122 * [taylor]: Taking taylor expansion of beta in i
4.122 * [backup-simplify]: Simplify beta into beta
4.122 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.122 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
4.122 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
4.122 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
4.122 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
4.123 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.123 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.124 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.124 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.125 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
4.125 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.126 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.126 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.127 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
4.127 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
4.127 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.127 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
4.127 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.127 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.127 * [taylor]: Taking taylor expansion of alpha in beta
4.127 * [backup-simplify]: Simplify alpha into alpha
4.127 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.127 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.128 * [taylor]: Taking taylor expansion of beta in beta
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 1 into 1
4.128 * [backup-simplify]: Simplify (/ 1 1) into 1
4.128 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
4.128 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.128 * [taylor]: Taking taylor expansion of alpha in beta
4.128 * [backup-simplify]: Simplify alpha into alpha
4.128 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.128 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.128 * [taylor]: Taking taylor expansion of beta in beta
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 1 into 1
4.129 * [backup-simplify]: Simplify (/ 1 1) into 1
4.129 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.129 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.129 * [taylor]: Taking taylor expansion of 2.0 in beta
4.129 * [backup-simplify]: Simplify 2.0 into 2.0
4.129 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.129 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.129 * [taylor]: Taking taylor expansion of alpha in beta
4.129 * [backup-simplify]: Simplify alpha into alpha
4.129 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.129 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.129 * [taylor]: Taking taylor expansion of 2.0 in beta
4.129 * [backup-simplify]: Simplify 2.0 into 2.0
4.129 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.129 * [taylor]: Taking taylor expansion of i in beta
4.129 * [backup-simplify]: Simplify i into i
4.129 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.129 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.129 * [taylor]: Taking taylor expansion of beta in beta
4.129 * [backup-simplify]: Simplify 0 into 0
4.129 * [backup-simplify]: Simplify 1 into 1
4.130 * [backup-simplify]: Simplify (/ 1 1) into 1
4.130 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.130 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.130 * [taylor]: Taking taylor expansion of alpha in beta
4.130 * [backup-simplify]: Simplify alpha into alpha
4.130 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.130 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.130 * [taylor]: Taking taylor expansion of 2.0 in beta
4.130 * [backup-simplify]: Simplify 2.0 into 2.0
4.130 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.130 * [taylor]: Taking taylor expansion of i in beta
4.130 * [backup-simplify]: Simplify i into i
4.130 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.130 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.130 * [taylor]: Taking taylor expansion of beta in beta
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify (/ 1 1) into 1
4.131 * [backup-simplify]: Simplify (- 1) into -1
4.131 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.132 * [backup-simplify]: Simplify (+ 0 1) into 1
4.132 * [backup-simplify]: Simplify (* -1 1) into -1
4.133 * [backup-simplify]: Simplify (+ 0 1) into 1
4.133 * [backup-simplify]: Simplify (+ 0 1) into 1
4.133 * [backup-simplify]: Simplify (- 1) into -1
4.134 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.134 * [backup-simplify]: Simplify (+ 0 1) into 1
4.135 * [backup-simplify]: Simplify (+ 0 1) into 1
4.135 * [backup-simplify]: Simplify (* -1 1) into -1
4.136 * [backup-simplify]: Simplify (/ -1 -1) into 1
4.136 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.136 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
4.136 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
4.136 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.136 * [taylor]: Taking taylor expansion of alpha in alpha
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify 1 into 1
4.136 * [backup-simplify]: Simplify (/ 1 1) into 1
4.136 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.136 * [taylor]: Taking taylor expansion of beta in alpha
4.136 * [backup-simplify]: Simplify beta into beta
4.136 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.137 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
4.137 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.137 * [taylor]: Taking taylor expansion of alpha in alpha
4.137 * [backup-simplify]: Simplify 0 into 0
4.137 * [backup-simplify]: Simplify 1 into 1
4.137 * [backup-simplify]: Simplify (/ 1 1) into 1
4.137 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.137 * [taylor]: Taking taylor expansion of beta in alpha
4.137 * [backup-simplify]: Simplify beta into beta
4.137 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.138 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.138 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.138 * [backup-simplify]: Simplify 2.0 into 2.0
4.138 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.138 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.138 * [taylor]: Taking taylor expansion of alpha in alpha
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [backup-simplify]: Simplify 1 into 1
4.138 * [backup-simplify]: Simplify (/ 1 1) into 1
4.138 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.138 * [backup-simplify]: Simplify 2.0 into 2.0
4.138 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.138 * [taylor]: Taking taylor expansion of i in alpha
4.138 * [backup-simplify]: Simplify i into i
4.138 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.138 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.138 * [taylor]: Taking taylor expansion of beta in alpha
4.139 * [backup-simplify]: Simplify beta into beta
4.139 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.139 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.139 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.139 * [taylor]: Taking taylor expansion of alpha in alpha
4.139 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [backup-simplify]: Simplify (/ 1 1) into 1
4.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.139 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.139 * [backup-simplify]: Simplify 2.0 into 2.0
4.139 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.139 * [taylor]: Taking taylor expansion of i in alpha
4.139 * [backup-simplify]: Simplify i into i
4.139 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.139 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.139 * [taylor]: Taking taylor expansion of beta in alpha
4.139 * [backup-simplify]: Simplify beta into beta
4.140 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.140 * [backup-simplify]: Simplify (+ 1 0) into 1
4.140 * [backup-simplify]: Simplify (+ 1 0) into 1
4.141 * [backup-simplify]: Simplify (* 1 1) into 1
4.141 * [backup-simplify]: Simplify (+ 1 0) into 1
4.141 * [backup-simplify]: Simplify (- 1) into -1
4.141 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.142 * [backup-simplify]: Simplify (+ 1 0) into 1
4.142 * [backup-simplify]: Simplify (* -1 1) into -1
4.142 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.142 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.142 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
4.142 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
4.142 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.142 * [taylor]: Taking taylor expansion of alpha in alpha
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (/ 1 1) into 1
4.142 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.142 * [taylor]: Taking taylor expansion of beta in alpha
4.142 * [backup-simplify]: Simplify beta into beta
4.142 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
4.143 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.143 * [taylor]: Taking taylor expansion of alpha in alpha
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (/ 1 1) into 1
4.143 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.143 * [taylor]: Taking taylor expansion of beta in alpha
4.143 * [backup-simplify]: Simplify beta into beta
4.143 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.143 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.143 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.143 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.143 * [backup-simplify]: Simplify 2.0 into 2.0
4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.143 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.143 * [taylor]: Taking taylor expansion of alpha in alpha
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (/ 1 1) into 1
4.143 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.143 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.143 * [backup-simplify]: Simplify 2.0 into 2.0
4.143 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.143 * [taylor]: Taking taylor expansion of i in alpha
4.143 * [backup-simplify]: Simplify i into i
4.143 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.143 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.144 * [taylor]: Taking taylor expansion of beta in alpha
4.144 * [backup-simplify]: Simplify beta into beta
4.144 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.144 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.144 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.144 * [taylor]: Taking taylor expansion of alpha in alpha
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 1 into 1
4.144 * [backup-simplify]: Simplify (/ 1 1) into 1
4.144 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.144 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.144 * [backup-simplify]: Simplify 2.0 into 2.0
4.144 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.144 * [taylor]: Taking taylor expansion of i in alpha
4.144 * [backup-simplify]: Simplify i into i
4.144 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.144 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.144 * [taylor]: Taking taylor expansion of beta in alpha
4.144 * [backup-simplify]: Simplify beta into beta
4.144 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.144 * [backup-simplify]: Simplify (+ 1 0) into 1
4.145 * [backup-simplify]: Simplify (+ 1 0) into 1
4.145 * [backup-simplify]: Simplify (* 1 1) into 1
4.145 * [backup-simplify]: Simplify (+ 1 0) into 1
4.145 * [backup-simplify]: Simplify (- 1) into -1
4.146 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.146 * [backup-simplify]: Simplify (+ 1 0) into 1
4.146 * [backup-simplify]: Simplify (* -1 1) into -1
4.146 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.146 * [taylor]: Taking taylor expansion of -1 in beta
4.146 * [backup-simplify]: Simplify -1 into -1
4.146 * [taylor]: Taking taylor expansion of -1 in i
4.146 * [backup-simplify]: Simplify -1 into -1
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.147 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.148 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
4.148 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
4.148 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.148 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.148 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.148 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.149 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.149 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.149 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.149 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
4.149 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
4.150 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
4.150 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
4.150 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
4.150 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
4.150 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
4.150 * [taylor]: Taking taylor expansion of 4.0 in beta
4.150 * [backup-simplify]: Simplify 4.0 into 4.0
4.150 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.150 * [taylor]: Taking taylor expansion of i in beta
4.150 * [backup-simplify]: Simplify i into i
4.150 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
4.150 * [taylor]: Taking taylor expansion of 2 in beta
4.150 * [backup-simplify]: Simplify 2 into 2
4.150 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.150 * [taylor]: Taking taylor expansion of beta in beta
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (/ 1 1) into 1
4.151 * [taylor]: Taking taylor expansion of 2.0 in beta
4.151 * [backup-simplify]: Simplify 2.0 into 2.0
4.151 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.152 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
4.152 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.152 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
4.152 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
4.152 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
4.152 * [taylor]: Taking taylor expansion of 4.0 in i
4.152 * [backup-simplify]: Simplify 4.0 into 4.0
4.152 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.152 * [taylor]: Taking taylor expansion of i in i
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ 1 1) into 1
4.153 * [taylor]: Taking taylor expansion of 2.0 in i
4.153 * [backup-simplify]: Simplify 2.0 into 2.0
4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (- 0) into 0
4.155 * [backup-simplify]: Simplify (+ 0 0) into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [taylor]: Taking taylor expansion of 0 in i
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 0 into 0
4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.156 * [backup-simplify]: Simplify (+ 0 0) into 0
4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.157 * [backup-simplify]: Simplify (- 0) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.158 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.159 * [backup-simplify]: Simplify (+ 0 0) into 0
4.159 * [backup-simplify]: Simplify (+ 0 0) into 0
4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.160 * [backup-simplify]: Simplify (+ 0 0) into 0
4.160 * [backup-simplify]: Simplify (+ 0 0) into 0
4.161 * [backup-simplify]: Simplify (- 0) into 0
4.161 * [backup-simplify]: Simplify (+ 0 0) into 0
4.162 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
4.163 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) -1) (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))
4.163 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
4.163 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
4.163 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
4.163 * [taylor]: Taking taylor expansion of 6.0 in beta
4.163 * [backup-simplify]: Simplify 6.0 into 6.0
4.163 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.163 * [taylor]: Taking taylor expansion of beta in beta
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.163 * [backup-simplify]: Simplify (/ 1 1) into 1
4.163 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
4.163 * [taylor]: Taking taylor expansion of 12.0 in beta
4.163 * [backup-simplify]: Simplify 12.0 into 12.0
4.163 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.163 * [taylor]: Taking taylor expansion of i in beta
4.163 * [backup-simplify]: Simplify i into i
4.164 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.164 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
4.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
4.164 * [taylor]: Taking taylor expansion of 2 in beta
4.164 * [backup-simplify]: Simplify 2 into 2
4.164 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
4.164 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.164 * [taylor]: Taking taylor expansion of beta in beta
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.164 * [backup-simplify]: Simplify (* 1 1) into 1
4.164 * [backup-simplify]: Simplify (/ 1 1) into 1
4.164 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
4.164 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
4.164 * [taylor]: Taking taylor expansion of 12.0 in beta
4.164 * [backup-simplify]: Simplify 12.0 into 12.0
4.164 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
4.164 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.164 * [taylor]: Taking taylor expansion of i in beta
4.164 * [backup-simplify]: Simplify i into i
4.164 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.164 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.164 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
4.165 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
4.165 * [taylor]: Taking taylor expansion of 12.0 in beta
4.165 * [backup-simplify]: Simplify 12.0 into 12.0
4.165 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
4.165 * [taylor]: Taking taylor expansion of (* i beta) in beta
4.165 * [taylor]: Taking taylor expansion of i in beta
4.165 * [backup-simplify]: Simplify i into i
4.165 * [taylor]: Taking taylor expansion of beta in beta
4.165 * [backup-simplify]: Simplify 0 into 0
4.165 * [backup-simplify]: Simplify 1 into 1
4.165 * [backup-simplify]: Simplify (* i 0) into 0
4.165 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
4.165 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.165 * [taylor]: Taking taylor expansion of 4.0 in beta
4.165 * [backup-simplify]: Simplify 4.0 into 4.0
4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.166 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
4.166 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
4.166 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.169 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
4.169 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
4.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.169 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.170 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.170 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
4.170 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
4.170 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
4.170 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
4.170 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
4.170 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
4.170 * [taylor]: Taking taylor expansion of 12.0 in i
4.170 * [backup-simplify]: Simplify 12.0 into 12.0
4.170 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.170 * [taylor]: Taking taylor expansion of i in i
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 1 into 1
4.171 * [backup-simplify]: Simplify (/ 1 1) into 1
4.171 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
4.171 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
4.171 * [taylor]: Taking taylor expansion of 12.0 in i
4.171 * [backup-simplify]: Simplify 12.0 into 12.0
4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.171 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.171 * [taylor]: Taking taylor expansion of i in i
4.171 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify 1 into 1
4.171 * [backup-simplify]: Simplify (* 1 1) into 1
4.171 * [backup-simplify]: Simplify (/ 1 1) into 1
4.171 * [taylor]: Taking taylor expansion of 4.0 in i
4.171 * [backup-simplify]: Simplify 4.0 into 4.0
4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.173 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.178 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.178 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify (- 0) into 0
4.179 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify 0 into 0
4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.179 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.180 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.180 * [backup-simplify]: Simplify (+ 0 0) into 0
4.181 * [backup-simplify]: Simplify (- 0) into 0
4.181 * [backup-simplify]: Simplify (+ 0 0) into 0
4.181 * [taylor]: Taking taylor expansion of 0 in i
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2)
4.181 * [backup-simplify]: Simplify (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) into (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
4.181 * [approximate]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (beta alpha i) around 0
4.181 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
4.181 * [taylor]: Taking taylor expansion of (- beta alpha) in i
4.181 * [taylor]: Taking taylor expansion of beta in i
4.181 * [backup-simplify]: Simplify beta into beta
4.181 * [taylor]: Taking taylor expansion of alpha in i
4.181 * [backup-simplify]: Simplify alpha into alpha
4.181 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
4.181 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
4.182 * [taylor]: Taking taylor expansion of alpha in i
4.182 * [backup-simplify]: Simplify alpha into alpha
4.182 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
4.182 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.182 * [taylor]: Taking taylor expansion of 2.0 in i
4.182 * [backup-simplify]: Simplify 2.0 into 2.0
4.182 * [taylor]: Taking taylor expansion of i in i
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 1 into 1
4.182 * [taylor]: Taking taylor expansion of beta in i
4.182 * [backup-simplify]: Simplify beta into beta
4.182 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
4.182 * [taylor]: Taking taylor expansion of alpha in i
4.182 * [backup-simplify]: Simplify alpha into alpha
4.182 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
4.182 * [taylor]: Taking taylor expansion of 2.0 in i
4.182 * [backup-simplify]: Simplify 2.0 into 2.0
4.182 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
4.182 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.182 * [taylor]: Taking taylor expansion of 2.0 in i
4.182 * [backup-simplify]: Simplify 2.0 into 2.0
4.182 * [taylor]: Taking taylor expansion of i in i
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 1 into 1
4.182 * [taylor]: Taking taylor expansion of beta in i
4.182 * [backup-simplify]: Simplify beta into beta
4.182 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.182 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
4.182 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.182 * [backup-simplify]: Simplify (+ 0 beta) into beta
4.182 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
4.183 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.183 * [backup-simplify]: Simplify (+ 0 beta) into beta
4.183 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
4.183 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
4.183 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
4.183 * [backup-simplify]: Simplify (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
4.183 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
4.183 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
4.183 * [taylor]: Taking taylor expansion of beta in alpha
4.183 * [backup-simplify]: Simplify beta into beta
4.183 * [taylor]: Taking taylor expansion of alpha in alpha
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 1 into 1
4.183 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
4.183 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
4.183 * [taylor]: Taking taylor expansion of alpha in alpha
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 1 into 1
4.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
4.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.183 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.183 * [backup-simplify]: Simplify 2.0 into 2.0
4.183 * [taylor]: Taking taylor expansion of i in alpha
4.183 * [backup-simplify]: Simplify i into i
4.183 * [taylor]: Taking taylor expansion of beta in alpha
4.183 * [backup-simplify]: Simplify beta into beta
4.183 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
4.183 * [taylor]: Taking taylor expansion of alpha in alpha
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify 1 into 1
4.183 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
4.183 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.183 * [backup-simplify]: Simplify 2.0 into 2.0
4.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
4.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.183 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.183 * [backup-simplify]: Simplify 2.0 into 2.0
4.183 * [taylor]: Taking taylor expansion of i in alpha
4.183 * [backup-simplify]: Simplify i into i
4.183 * [taylor]: Taking taylor expansion of beta in alpha
4.183 * [backup-simplify]: Simplify beta into beta
4.184 * [backup-simplify]: Simplify (- 0) into 0
4.184 * [backup-simplify]: Simplify (+ beta 0) into beta
4.184 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.184 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
4.184 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
4.184 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.184 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
4.184 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
4.184 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
4.184 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
4.184 * [backup-simplify]: Simplify (/ beta (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ beta (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
4.184 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
4.184 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.184 * [taylor]: Taking taylor expansion of beta in beta
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [taylor]: Taking taylor expansion of alpha in beta
4.184 * [backup-simplify]: Simplify alpha into alpha
4.184 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
4.184 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.185 * [taylor]: Taking taylor expansion of alpha in beta
4.185 * [backup-simplify]: Simplify alpha into alpha
4.185 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.185 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.185 * [taylor]: Taking taylor expansion of 2.0 in beta
4.185 * [backup-simplify]: Simplify 2.0 into 2.0
4.185 * [taylor]: Taking taylor expansion of i in beta
4.185 * [backup-simplify]: Simplify i into i
4.185 * [taylor]: Taking taylor expansion of beta in beta
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
4.185 * [taylor]: Taking taylor expansion of alpha in beta
4.185 * [backup-simplify]: Simplify alpha into alpha
4.185 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
4.185 * [taylor]: Taking taylor expansion of 2.0 in beta
4.185 * [backup-simplify]: Simplify 2.0 into 2.0
4.185 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.185 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.185 * [taylor]: Taking taylor expansion of 2.0 in beta
4.185 * [backup-simplify]: Simplify 2.0 into 2.0
4.185 * [taylor]: Taking taylor expansion of i in beta
4.185 * [backup-simplify]: Simplify i into i
4.185 * [taylor]: Taking taylor expansion of beta in beta
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.185 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.185 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.185 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.185 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.185 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.185 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.185 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
4.185 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
4.185 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
4.186 * [backup-simplify]: Simplify (/ (- alpha) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
4.186 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
4.186 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.186 * [taylor]: Taking taylor expansion of beta in beta
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [taylor]: Taking taylor expansion of alpha in beta
4.186 * [backup-simplify]: Simplify alpha into alpha
4.186 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
4.186 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.186 * [taylor]: Taking taylor expansion of alpha in beta
4.186 * [backup-simplify]: Simplify alpha into alpha
4.186 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.186 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.186 * [taylor]: Taking taylor expansion of 2.0 in beta
4.186 * [backup-simplify]: Simplify 2.0 into 2.0
4.186 * [taylor]: Taking taylor expansion of i in beta
4.186 * [backup-simplify]: Simplify i into i
4.186 * [taylor]: Taking taylor expansion of beta in beta
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
4.186 * [taylor]: Taking taylor expansion of alpha in beta
4.186 * [backup-simplify]: Simplify alpha into alpha
4.186 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
4.186 * [taylor]: Taking taylor expansion of 2.0 in beta
4.186 * [backup-simplify]: Simplify 2.0 into 2.0
4.186 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.186 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.186 * [taylor]: Taking taylor expansion of 2.0 in beta
4.186 * [backup-simplify]: Simplify 2.0 into 2.0
4.186 * [taylor]: Taking taylor expansion of i in beta
4.186 * [backup-simplify]: Simplify i into i
4.186 * [taylor]: Taking taylor expansion of beta in beta
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.186 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.186 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.186 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.186 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.186 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.186 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.186 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
4.186 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
4.187 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
4.187 * [backup-simplify]: Simplify (/ (- alpha) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
4.187 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
4.187 * [taylor]: Taking taylor expansion of -1 in alpha
4.187 * [backup-simplify]: Simplify -1 into -1
4.187 * [taylor]: Taking taylor expansion of (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
4.187 * [taylor]: Taking taylor expansion of alpha in alpha
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) in alpha
4.187 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.187 * [taylor]: Taking taylor expansion of alpha in alpha
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.187 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.187 * [backup-simplify]: Simplify 2.0 into 2.0
4.187 * [taylor]: Taking taylor expansion of i in alpha
4.187 * [backup-simplify]: Simplify i into i
4.187 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.187 * [taylor]: Taking taylor expansion of alpha in alpha
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.187 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.187 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.187 * [backup-simplify]: Simplify 2.0 into 2.0
4.187 * [taylor]: Taking taylor expansion of i in alpha
4.187 * [backup-simplify]: Simplify i into i
4.187 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.187 * [backup-simplify]: Simplify 2.0 into 2.0
4.187 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.187 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.188 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.188 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.188 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.188 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
4.188 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
4.188 * [backup-simplify]: Simplify (- 0) into 0
4.188 * [backup-simplify]: Simplify (+ 1 0) into 1
4.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.189 * [backup-simplify]: Simplify (+ 0 1) into 1
4.189 * [backup-simplify]: Simplify (+ 0 1) into 1
4.189 * [backup-simplify]: Simplify (+ 0 1) into 1
4.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.190 * [backup-simplify]: Simplify (+ 0 1) into 1
4.190 * [backup-simplify]: Simplify (+ 0 1) into 1
4.190 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 1) (* 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (+ (* 2 alpha) (+ (* 4.0 i) 2.0))
4.191 * [backup-simplify]: Simplify (- (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) (+ (* (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) (/ (+ (* 2 alpha) (+ (* 4.0 i) 2.0)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) into (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))))))
4.191 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) in alpha
4.191 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
4.191 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.191 * [backup-simplify]: Simplify 4.0 into 4.0
4.191 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.191 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.191 * [taylor]: Taking taylor expansion of alpha in alpha
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 1 into 1
4.191 * [taylor]: Taking taylor expansion of i in alpha
4.191 * [backup-simplify]: Simplify i into i
4.191 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.191 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.191 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.191 * [taylor]: Taking taylor expansion of alpha in alpha
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 1 into 1
4.192 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.192 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.192 * [backup-simplify]: Simplify 2.0 into 2.0
4.192 * [taylor]: Taking taylor expansion of i in alpha
4.192 * [backup-simplify]: Simplify i into i
4.192 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.192 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.192 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.192 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.192 * [taylor]: Taking taylor expansion of alpha in alpha
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 1 into 1
4.192 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.192 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.192 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.192 * [backup-simplify]: Simplify 2.0 into 2.0
4.192 * [taylor]: Taking taylor expansion of i in alpha
4.192 * [backup-simplify]: Simplify i into i
4.192 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.192 * [backup-simplify]: Simplify 2.0 into 2.0
4.192 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.192 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.192 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.192 * [backup-simplify]: Simplify (* 0 i) into 0
4.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.192 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.193 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.193 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.193 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
4.193 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))))) in alpha
4.193 * [taylor]: Taking taylor expansion of (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
4.193 * [taylor]: Taking taylor expansion of 2 in alpha
4.193 * [backup-simplify]: Simplify 2 into 2
4.193 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.193 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.193 * [taylor]: Taking taylor expansion of alpha in alpha
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 1 into 1
4.193 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.193 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.193 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.193 * [taylor]: Taking taylor expansion of alpha in alpha
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 1 into 1
4.193 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.193 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.193 * [backup-simplify]: Simplify 2.0 into 2.0
4.193 * [taylor]: Taking taylor expansion of i in alpha
4.193 * [backup-simplify]: Simplify i into i
4.193 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.193 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.193 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.193 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.193 * [taylor]: Taking taylor expansion of alpha in alpha
4.193 * [backup-simplify]: Simplify 0 into 0
4.193 * [backup-simplify]: Simplify 1 into 1
4.194 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.194 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.194 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.194 * [backup-simplify]: Simplify 2.0 into 2.0
4.194 * [taylor]: Taking taylor expansion of i in alpha
4.194 * [backup-simplify]: Simplify i into i
4.194 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.194 * [backup-simplify]: Simplify 2.0 into 2.0
4.194 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.194 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.194 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.194 * [backup-simplify]: Simplify (* 1 1) into 1
4.194 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.194 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.194 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.195 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.195 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))) in alpha
4.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
4.195 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.195 * [backup-simplify]: Simplify 2.0 into 2.0
4.195 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.195 * [taylor]: Taking taylor expansion of alpha in alpha
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.195 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.195 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.195 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.195 * [taylor]: Taking taylor expansion of alpha in alpha
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.195 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.195 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.195 * [backup-simplify]: Simplify 2.0 into 2.0
4.195 * [taylor]: Taking taylor expansion of i in alpha
4.195 * [backup-simplify]: Simplify i into i
4.195 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.195 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.195 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.195 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.195 * [taylor]: Taking taylor expansion of alpha in alpha
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.195 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.195 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.195 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.195 * [backup-simplify]: Simplify 2.0 into 2.0
4.195 * [taylor]: Taking taylor expansion of i in alpha
4.195 * [backup-simplify]: Simplify i into i
4.195 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.195 * [backup-simplify]: Simplify 2.0 into 2.0
4.195 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.195 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.195 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.195 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.195 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.196 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.196 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.196 * [taylor]: Taking taylor expansion of (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) in alpha
4.196 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))) in alpha
4.196 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.196 * [taylor]: Taking taylor expansion of alpha in alpha
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.196 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.196 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.196 * [backup-simplify]: Simplify 2.0 into 2.0
4.196 * [taylor]: Taking taylor expansion of i in alpha
4.196 * [backup-simplify]: Simplify i into i
4.196 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.196 * [backup-simplify]: Simplify 2.0 into 2.0
4.196 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.196 * [taylor]: Taking taylor expansion of alpha in alpha
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 1 into 1
4.196 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.196 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.196 * [backup-simplify]: Simplify 2.0 into 2.0
4.196 * [taylor]: Taking taylor expansion of i in alpha
4.196 * [backup-simplify]: Simplify i into i
4.196 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.196 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.196 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.196 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.197 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.197 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (* 2.0 i)) into (* 2.0 (* (+ (* 2.0 i) 2.0) i))
4.197 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* (+ (* 2.0 i) 2.0) i))) into (/ 0.5 (* (+ (* 2.0 i) 2.0) i))
4.197 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (* (+ (* 2.0 i) 2.0) i))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
4.197 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
4.197 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
4.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i))) in i
4.197 * [taylor]: Taking taylor expansion of 0.5 in i
4.197 * [backup-simplify]: Simplify 0.5 into 0.5
4.197 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) 2.0) i)) in i
4.197 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) 2.0) i) in i
4.197 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.197 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.197 * [taylor]: Taking taylor expansion of 2.0 in i
4.197 * [backup-simplify]: Simplify 2.0 into 2.0
4.197 * [taylor]: Taking taylor expansion of i in i
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 1 into 1
4.197 * [taylor]: Taking taylor expansion of 2.0 in i
4.197 * [backup-simplify]: Simplify 2.0 into 2.0
4.197 * [taylor]: Taking taylor expansion of i in i
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 1 into 1
4.198 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.198 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.198 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.199 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.199 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.200 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 2.0 0)) into 2.0
4.200 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
4.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.202 * [backup-simplify]: Simplify (+ 0 0) into 0
4.204 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
4.206 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
4.207 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
4.208 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
4.208 * [backup-simplify]: Simplify (* -1 (/ 0.5 (* i (+ (* 2.0 i) 2.0)))) into (/ -0.5 (* i (+ (* 2.0 i) 2.0)))
4.208 * [taylor]: Taking taylor expansion of (/ -0.5 (* i (+ (* 2.0 i) 2.0))) in i
4.208 * [taylor]: Taking taylor expansion of -0.5 in i
4.208 * [backup-simplify]: Simplify -0.5 into -0.5
4.208 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
4.208 * [taylor]: Taking taylor expansion of i in i
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.208 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.208 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.208 * [taylor]: Taking taylor expansion of 2.0 in i
4.208 * [backup-simplify]: Simplify 2.0 into 2.0
4.208 * [taylor]: Taking taylor expansion of i in i
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.208 * [taylor]: Taking taylor expansion of 2.0 in i
4.208 * [backup-simplify]: Simplify 2.0 into 2.0
4.208 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.208 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.209 * [backup-simplify]: Simplify (* 0 2.0) into 0
4.210 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.210 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.216 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
4.216 * [backup-simplify]: Simplify (/ -0.5 2.0) into -0.25
4.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.217 * [backup-simplify]: Simplify (+ 0 0) into 0
4.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
4.220 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -0.25 (/ 2.0 2.0)))) into 0.25
4.220 * [backup-simplify]: Simplify 0.25 into 0.25
4.220 * [backup-simplify]: Simplify (- 0) into 0
4.220 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.222 * [backup-simplify]: Simplify (+ 0 0) into 0
4.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
4.222 * [backup-simplify]: Simplify (+ 0 0) into 0
4.222 * [backup-simplify]: Simplify (+ 0 0) into 0
4.223 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 0) (+ (* 1 1) (* 0 (+ alpha (+ (* 2.0 i) 2.0))))) into 1
4.226 * [backup-simplify]: Simplify (- (/ 0 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) (+ (* (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))) (* (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) (/ (+ (* 2 alpha) (+ (* 4.0 i) 2.0)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) into (- (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))))))
4.226 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))))))) in alpha
4.226 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))))) in alpha
4.226 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.226 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.226 * [backup-simplify]: Simplify 16.0 into 16.0
4.226 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.226 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.226 * [taylor]: Taking taylor expansion of alpha in alpha
4.226 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of i in alpha
4.227 * [backup-simplify]: Simplify i into i
4.227 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.227 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.227 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.227 * [taylor]: Taking taylor expansion of alpha in alpha
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.227 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.227 * [backup-simplify]: Simplify 2.0 into 2.0
4.227 * [taylor]: Taking taylor expansion of i in alpha
4.227 * [backup-simplify]: Simplify i into i
4.227 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.227 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.227 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.227 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.227 * [taylor]: Taking taylor expansion of alpha in alpha
4.227 * [backup-simplify]: Simplify 0 into 0
4.227 * [backup-simplify]: Simplify 1 into 1
4.227 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.227 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.227 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.227 * [backup-simplify]: Simplify 2.0 into 2.0
4.227 * [taylor]: Taking taylor expansion of i in alpha
4.227 * [backup-simplify]: Simplify i into i
4.227 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.227 * [backup-simplify]: Simplify 2.0 into 2.0
4.227 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.227 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.227 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.227 * [backup-simplify]: Simplify (* 0 i) into 0
4.228 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.228 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.228 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.228 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.228 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.228 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.228 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
4.228 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))))) in alpha
4.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
4.228 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.228 * [backup-simplify]: Simplify 4.0 into 4.0
4.229 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
4.229 * [taylor]: Taking taylor expansion of i in alpha
4.229 * [backup-simplify]: Simplify i into i
4.229 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.229 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.229 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.229 * [taylor]: Taking taylor expansion of alpha in alpha
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 1 into 1
4.229 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.229 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.229 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.229 * [backup-simplify]: Simplify 2.0 into 2.0
4.229 * [taylor]: Taking taylor expansion of i in alpha
4.229 * [backup-simplify]: Simplify i into i
4.229 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.229 * [backup-simplify]: Simplify 2.0 into 2.0
4.229 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.229 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.229 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.229 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.229 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.229 * [taylor]: Taking taylor expansion of alpha in alpha
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [backup-simplify]: Simplify 1 into 1
4.229 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.229 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.229 * [backup-simplify]: Simplify 2.0 into 2.0
4.229 * [taylor]: Taking taylor expansion of i in alpha
4.229 * [backup-simplify]: Simplify i into i
4.229 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.229 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.229 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.229 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.229 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
4.230 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
4.230 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))) in alpha
4.230 * [taylor]: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.230 * [taylor]: Taking taylor expansion of 4 in alpha
4.230 * [backup-simplify]: Simplify 4 into 4
4.230 * [taylor]: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.230 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
4.230 * [taylor]: Taking taylor expansion of alpha in alpha
4.230 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify 1 into 1
4.230 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.230 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.230 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.230 * [taylor]: Taking taylor expansion of alpha in alpha
4.230 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify 1 into 1
4.230 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.230 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.230 * [backup-simplify]: Simplify 2.0 into 2.0
4.230 * [taylor]: Taking taylor expansion of i in alpha
4.230 * [backup-simplify]: Simplify i into i
4.230 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.230 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.230 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.230 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.230 * [taylor]: Taking taylor expansion of alpha in alpha
4.230 * [backup-simplify]: Simplify 0 into 0
4.230 * [backup-simplify]: Simplify 1 into 1
4.230 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.230 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.230 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.230 * [backup-simplify]: Simplify 2.0 into 2.0
4.230 * [taylor]: Taking taylor expansion of i in alpha
4.230 * [backup-simplify]: Simplify i into i
4.230 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.230 * [backup-simplify]: Simplify 2.0 into 2.0
4.230 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.230 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.231 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.231 * [backup-simplify]: Simplify (* 1 1) into 1
4.231 * [backup-simplify]: Simplify (* 1 1) into 1
4.231 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.231 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.231 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.232 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.232 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.232 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.232 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))) in alpha
4.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
4.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.232 * [backup-simplify]: Simplify 2.0 into 2.0
4.232 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
4.232 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.232 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.232 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.232 * [taylor]: Taking taylor expansion of alpha in alpha
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 1 into 1
4.232 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.232 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.232 * [backup-simplify]: Simplify 2.0 into 2.0
4.232 * [taylor]: Taking taylor expansion of i in alpha
4.232 * [backup-simplify]: Simplify i into i
4.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.232 * [backup-simplify]: Simplify 2.0 into 2.0
4.232 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.232 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.232 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.232 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.232 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.232 * [taylor]: Taking taylor expansion of alpha in alpha
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 1 into 1
4.233 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.233 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.233 * [backup-simplify]: Simplify 2.0 into 2.0
4.233 * [taylor]: Taking taylor expansion of i in alpha
4.233 * [backup-simplify]: Simplify i into i
4.233 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.233 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.233 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.233 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.233 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
4.233 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
4.233 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))) in alpha
4.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.233 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.233 * [backup-simplify]: Simplify 4.0 into 4.0
4.233 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.233 * [taylor]: Taking taylor expansion of alpha in alpha
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 1 into 1
4.233 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.233 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.233 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.233 * [taylor]: Taking taylor expansion of alpha in alpha
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 1 into 1
4.234 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.234 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.234 * [backup-simplify]: Simplify 2.0 into 2.0
4.234 * [taylor]: Taking taylor expansion of i in alpha
4.234 * [backup-simplify]: Simplify i into i
4.234 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.234 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.234 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.234 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.234 * [taylor]: Taking taylor expansion of alpha in alpha
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 1 into 1
4.234 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.234 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.234 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.234 * [backup-simplify]: Simplify 2.0 into 2.0
4.234 * [taylor]: Taking taylor expansion of i in alpha
4.234 * [backup-simplify]: Simplify i into i
4.234 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.234 * [backup-simplify]: Simplify 2.0 into 2.0
4.234 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.234 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.234 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.234 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.234 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.234 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.234 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.235 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.235 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.235 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))) in alpha
4.235 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.235 * [taylor]: Taking taylor expansion of 8.0 in alpha
4.235 * [backup-simplify]: Simplify 8.0 into 8.0
4.235 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.235 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.235 * [taylor]: Taking taylor expansion of alpha in alpha
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.235 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.235 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.235 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.235 * [taylor]: Taking taylor expansion of alpha in alpha
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.235 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.235 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.235 * [backup-simplify]: Simplify 2.0 into 2.0
4.235 * [taylor]: Taking taylor expansion of i in alpha
4.235 * [backup-simplify]: Simplify i into i
4.235 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.235 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.235 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.235 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.235 * [taylor]: Taking taylor expansion of alpha in alpha
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.235 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.235 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.235 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.235 * [backup-simplify]: Simplify 2.0 into 2.0
4.235 * [taylor]: Taking taylor expansion of i in alpha
4.235 * [backup-simplify]: Simplify i into i
4.235 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.235 * [backup-simplify]: Simplify 2.0 into 2.0
4.236 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.236 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.236 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.236 * [backup-simplify]: Simplify (* 1 1) into 1
4.236 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.236 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.236 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.236 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.237 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.237 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.237 * [taylor]: Taking taylor expansion of (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))) in alpha
4.237 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.237 * [taylor]: Taking taylor expansion of alpha in alpha
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.237 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.237 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.237 * [taylor]: Taking taylor expansion of alpha in alpha
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.237 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.237 * [backup-simplify]: Simplify 2.0 into 2.0
4.237 * [taylor]: Taking taylor expansion of i in alpha
4.237 * [backup-simplify]: Simplify i into i
4.237 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.237 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.237 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.237 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.237 * [taylor]: Taking taylor expansion of alpha in alpha
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.237 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.237 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.237 * [backup-simplify]: Simplify 2.0 into 2.0
4.237 * [taylor]: Taking taylor expansion of i in alpha
4.237 * [backup-simplify]: Simplify i into i
4.237 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.237 * [backup-simplify]: Simplify 2.0 into 2.0
4.237 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.237 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.238 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.238 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.238 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.238 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.238 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
4.238 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) in alpha
4.238 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.238 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.238 * [backup-simplify]: Simplify 16.0 into 16.0
4.238 * [taylor]: Taking taylor expansion of (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.238 * [taylor]: Taking taylor expansion of (* alpha (pow i 2)) in alpha
4.238 * [taylor]: Taking taylor expansion of alpha in alpha
4.238 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.239 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.239 * [taylor]: Taking taylor expansion of i in alpha
4.239 * [backup-simplify]: Simplify i into i
4.239 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.239 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.239 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.239 * [taylor]: Taking taylor expansion of alpha in alpha
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.239 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.239 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.239 * [backup-simplify]: Simplify 2.0 into 2.0
4.239 * [taylor]: Taking taylor expansion of i in alpha
4.239 * [backup-simplify]: Simplify i into i
4.239 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.239 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.239 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.239 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.239 * [taylor]: Taking taylor expansion of alpha in alpha
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.239 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.239 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.239 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.239 * [backup-simplify]: Simplify 2.0 into 2.0
4.239 * [taylor]: Taking taylor expansion of i in alpha
4.239 * [backup-simplify]: Simplify i into i
4.239 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.239 * [backup-simplify]: Simplify 2.0 into 2.0
4.239 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.239 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.239 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.239 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.239 * [backup-simplify]: Simplify (* 0 (pow i 2)) into 0
4.239 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow i 2))) into (pow i 2)
4.240 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.240 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.240 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.240 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.240 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.241 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
4.241 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.241 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.241 * [backup-simplify]: Simplify 16.0 into 16.0
4.241 * [taylor]: Taking taylor expansion of (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.241 * [taylor]: Taking taylor expansion of (* (pow alpha 2) i) in alpha
4.241 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.241 * [taylor]: Taking taylor expansion of alpha in alpha
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 1 into 1
4.241 * [taylor]: Taking taylor expansion of i in alpha
4.241 * [backup-simplify]: Simplify i into i
4.241 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.241 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.241 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.241 * [taylor]: Taking taylor expansion of alpha in alpha
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 1 into 1
4.241 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.241 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.241 * [backup-simplify]: Simplify 2.0 into 2.0
4.241 * [taylor]: Taking taylor expansion of i in alpha
4.241 * [backup-simplify]: Simplify i into i
4.241 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.241 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.241 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.241 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.241 * [taylor]: Taking taylor expansion of alpha in alpha
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 1 into 1
4.241 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.241 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.241 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.241 * [backup-simplify]: Simplify 2.0 into 2.0
4.241 * [taylor]: Taking taylor expansion of i in alpha
4.241 * [backup-simplify]: Simplify i into i
4.241 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.241 * [backup-simplify]: Simplify 2.0 into 2.0
4.241 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.241 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.241 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.242 * [backup-simplify]: Simplify (* 1 1) into 1
4.242 * [backup-simplify]: Simplify (* 1 i) into i
4.242 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.242 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.242 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.242 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.242 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
4.243 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
4.243 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
4.243 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.5 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
4.243 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) 0) into (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))
4.243 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) into (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))
4.244 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) into (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))
4.244 * [backup-simplify]: Simplify (+ 0 (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) into (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))
4.245 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) into (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))))
4.245 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) in i
4.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) in i
4.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
4.245 * [taylor]: Taking taylor expansion of 1.0 in i
4.245 * [backup-simplify]: Simplify 1.0 into 1.0
4.245 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
4.245 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
4.245 * [taylor]: Taking taylor expansion of i in i
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
4.245 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.245 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.245 * [taylor]: Taking taylor expansion of 2.0 in i
4.245 * [backup-simplify]: Simplify 2.0 into 2.0
4.245 * [taylor]: Taking taylor expansion of i in i
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [taylor]: Taking taylor expansion of 2.0 in i
4.245 * [backup-simplify]: Simplify 2.0 into 2.0
4.245 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.246 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.246 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.246 * [backup-simplify]: Simplify (* 0 4.0) into 0
4.247 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.247 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.248 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
4.249 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
4.249 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
4.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) in i
4.249 * [taylor]: Taking taylor expansion of 0.5 in i
4.249 * [backup-simplify]: Simplify 0.5 into 0.5
4.249 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) in i
4.249 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)) in i
4.249 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
4.249 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.249 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.249 * [taylor]: Taking taylor expansion of 2.0 in i
4.249 * [backup-simplify]: Simplify 2.0 into 2.0
4.249 * [taylor]: Taking taylor expansion of i in i
4.249 * [backup-simplify]: Simplify 0 into 0
4.249 * [backup-simplify]: Simplify 1 into 1
4.249 * [taylor]: Taking taylor expansion of 2.0 in i
4.249 * [backup-simplify]: Simplify 2.0 into 2.0
4.250 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.250 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.250 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.250 * [taylor]: Taking taylor expansion of i in i
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.250 * [backup-simplify]: Simplify (* 1 1) into 1
4.251 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.251 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
4.252 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.252 * [backup-simplify]: Simplify (+ 0 0) into 0
4.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
4.255 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
4.256 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
4.257 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.259 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.259 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.260 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
4.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.261 * [backup-simplify]: Simplify (+ 0 0) into 0
4.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
4.265 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 8.0 0) (* 4.0 1))) into 4.0
4.266 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 8.0 1)) into 8.0
4.267 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
4.270 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
4.271 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
4.272 * [backup-simplify]: Simplify (+ (- 0.5) 0.375) into (- 0.125)
4.272 * [backup-simplify]: Simplify (- (- 0.125)) into 0.125
4.272 * [backup-simplify]: Simplify 0.125 into 0.125
4.273 * [backup-simplify]: Simplify (+ (* 0.125 (pow (* 1 (* 1 beta)) 2)) (+ (* 0.25 (* 1 (* alpha 1))) (* (- 0.25) (* 1 (* 1 beta))))) into (- (+ (* 0.25 alpha) (* 0.125 (pow beta 2))) (* 0.25 beta))
4.273 * [backup-simplify]: Simplify (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) into (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
4.273 * [approximate]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
4.273 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
4.273 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
4.273 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.273 * [taylor]: Taking taylor expansion of beta in i
4.273 * [backup-simplify]: Simplify beta into beta
4.273 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.273 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.273 * [taylor]: Taking taylor expansion of alpha in i
4.273 * [backup-simplify]: Simplify alpha into alpha
4.273 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.273 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.274 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
4.274 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.274 * [taylor]: Taking taylor expansion of alpha in i
4.274 * [backup-simplify]: Simplify alpha into alpha
4.274 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
4.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.274 * [taylor]: Taking taylor expansion of 2.0 in i
4.274 * [backup-simplify]: Simplify 2.0 into 2.0
4.274 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.274 * [taylor]: Taking taylor expansion of i in i
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 1 into 1
4.274 * [backup-simplify]: Simplify (/ 1 1) into 1
4.274 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
4.274 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.274 * [taylor]: Taking taylor expansion of beta in i
4.274 * [backup-simplify]: Simplify beta into beta
4.274 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.274 * [taylor]: Taking taylor expansion of 2.0 in i
4.274 * [backup-simplify]: Simplify 2.0 into 2.0
4.274 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.274 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.274 * [taylor]: Taking taylor expansion of alpha in i
4.274 * [backup-simplify]: Simplify alpha into alpha
4.274 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.274 * [taylor]: Taking taylor expansion of 2.0 in i
4.274 * [backup-simplify]: Simplify 2.0 into 2.0
4.274 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.274 * [taylor]: Taking taylor expansion of i in i
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 1 into 1
4.275 * [backup-simplify]: Simplify (/ 1 1) into 1
4.275 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.275 * [taylor]: Taking taylor expansion of beta in i
4.275 * [backup-simplify]: Simplify beta into beta
4.275 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.275 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.275 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
4.275 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.275 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.276 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.276 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.276 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.276 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.277 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.277 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 4.0) into (* 0.25 (- (/ 1 beta) (/ 1 alpha)))
4.277 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.277 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
4.277 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.277 * [taylor]: Taking taylor expansion of beta in alpha
4.277 * [backup-simplify]: Simplify beta into beta
4.277 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.277 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.277 * [taylor]: Taking taylor expansion of alpha in alpha
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 1 into 1
4.277 * [backup-simplify]: Simplify (/ 1 1) into 1
4.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.277 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.277 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.277 * [taylor]: Taking taylor expansion of alpha in alpha
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 1 into 1
4.278 * [backup-simplify]: Simplify (/ 1 1) into 1
4.278 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.278 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.278 * [backup-simplify]: Simplify 2.0 into 2.0
4.278 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.278 * [taylor]: Taking taylor expansion of i in alpha
4.278 * [backup-simplify]: Simplify i into i
4.278 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.278 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.278 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.278 * [taylor]: Taking taylor expansion of beta in alpha
4.278 * [backup-simplify]: Simplify beta into beta
4.278 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.278 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.278 * [backup-simplify]: Simplify 2.0 into 2.0
4.278 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.278 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.278 * [taylor]: Taking taylor expansion of alpha in alpha
4.278 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify 1 into 1
4.278 * [backup-simplify]: Simplify (/ 1 1) into 1
4.278 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.278 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.278 * [backup-simplify]: Simplify 2.0 into 2.0
4.278 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.278 * [taylor]: Taking taylor expansion of i in alpha
4.278 * [backup-simplify]: Simplify i into i
4.278 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.278 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.278 * [taylor]: Taking taylor expansion of beta in alpha
4.279 * [backup-simplify]: Simplify beta into beta
4.279 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.279 * [backup-simplify]: Simplify (- 1) into -1
4.279 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.279 * [backup-simplify]: Simplify (+ 1 0) into 1
4.280 * [backup-simplify]: Simplify (+ 1 0) into 1
4.280 * [backup-simplify]: Simplify (* 1 1) into 1
4.280 * [backup-simplify]: Simplify (/ -1 1) into -1
4.280 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.280 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.280 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.280 * [taylor]: Taking taylor expansion of beta in beta
4.280 * [backup-simplify]: Simplify 0 into 0
4.280 * [backup-simplify]: Simplify 1 into 1
4.280 * [backup-simplify]: Simplify (/ 1 1) into 1
4.280 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.280 * [taylor]: Taking taylor expansion of alpha in beta
4.280 * [backup-simplify]: Simplify alpha into alpha
4.280 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.281 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
4.281 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.281 * [taylor]: Taking taylor expansion of alpha in beta
4.281 * [backup-simplify]: Simplify alpha into alpha
4.281 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.281 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
4.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.281 * [taylor]: Taking taylor expansion of 2.0 in beta
4.281 * [backup-simplify]: Simplify 2.0 into 2.0
4.281 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.281 * [taylor]: Taking taylor expansion of i in beta
4.281 * [backup-simplify]: Simplify i into i
4.281 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.281 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
4.281 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.281 * [taylor]: Taking taylor expansion of beta in beta
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.281 * [backup-simplify]: Simplify (/ 1 1) into 1
4.281 * [taylor]: Taking taylor expansion of 2.0 in beta
4.281 * [backup-simplify]: Simplify 2.0 into 2.0
4.281 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.281 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.281 * [taylor]: Taking taylor expansion of alpha in beta
4.281 * [backup-simplify]: Simplify alpha into alpha
4.281 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.281 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.281 * [taylor]: Taking taylor expansion of 2.0 in beta
4.281 * [backup-simplify]: Simplify 2.0 into 2.0
4.281 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.281 * [taylor]: Taking taylor expansion of i in beta
4.281 * [backup-simplify]: Simplify i into i
4.281 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.281 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.281 * [taylor]: Taking taylor expansion of beta in beta
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.282 * [backup-simplify]: Simplify (/ 1 1) into 1
4.282 * [backup-simplify]: Simplify (+ 1 0) into 1
4.282 * [backup-simplify]: Simplify (+ 1 0) into 1
4.282 * [backup-simplify]: Simplify (+ 0 1) into 1
4.283 * [backup-simplify]: Simplify (+ 0 1) into 1
4.283 * [backup-simplify]: Simplify (+ 0 1) into 1
4.283 * [backup-simplify]: Simplify (+ 0 1) into 1
4.283 * [backup-simplify]: Simplify (* 1 1) into 1
4.284 * [backup-simplify]: Simplify (/ 1 1) into 1
4.284 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.284 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.284 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.284 * [taylor]: Taking taylor expansion of beta in beta
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.284 * [backup-simplify]: Simplify (/ 1 1) into 1
4.284 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.284 * [taylor]: Taking taylor expansion of alpha in beta
4.284 * [backup-simplify]: Simplify alpha into alpha
4.284 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.284 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
4.284 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.284 * [taylor]: Taking taylor expansion of alpha in beta
4.284 * [backup-simplify]: Simplify alpha into alpha
4.284 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.284 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
4.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.284 * [taylor]: Taking taylor expansion of 2.0 in beta
4.284 * [backup-simplify]: Simplify 2.0 into 2.0
4.284 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.284 * [taylor]: Taking taylor expansion of i in beta
4.284 * [backup-simplify]: Simplify i into i
4.284 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.284 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
4.284 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.284 * [taylor]: Taking taylor expansion of beta in beta
4.284 * [backup-simplify]: Simplify 0 into 0
4.285 * [backup-simplify]: Simplify 1 into 1
4.285 * [backup-simplify]: Simplify (/ 1 1) into 1
4.285 * [taylor]: Taking taylor expansion of 2.0 in beta
4.285 * [backup-simplify]: Simplify 2.0 into 2.0
4.285 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.285 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.285 * [taylor]: Taking taylor expansion of alpha in beta
4.285 * [backup-simplify]: Simplify alpha into alpha
4.285 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.285 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.285 * [taylor]: Taking taylor expansion of 2.0 in beta
4.285 * [backup-simplify]: Simplify 2.0 into 2.0
4.285 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.285 * [taylor]: Taking taylor expansion of i in beta
4.285 * [backup-simplify]: Simplify i into i
4.285 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.285 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.285 * [taylor]: Taking taylor expansion of beta in beta
4.285 * [backup-simplify]: Simplify 0 into 0
4.285 * [backup-simplify]: Simplify 1 into 1
4.285 * [backup-simplify]: Simplify (/ 1 1) into 1
4.286 * [backup-simplify]: Simplify (+ 1 0) into 1
4.286 * [backup-simplify]: Simplify (+ 1 0) into 1
4.286 * [backup-simplify]: Simplify (+ 0 1) into 1
4.286 * [backup-simplify]: Simplify (+ 0 1) into 1
4.287 * [backup-simplify]: Simplify (+ 0 1) into 1
4.287 * [backup-simplify]: Simplify (+ 0 1) into 1
4.287 * [backup-simplify]: Simplify (* 1 1) into 1
4.287 * [backup-simplify]: Simplify (/ 1 1) into 1
4.288 * [taylor]: Taking taylor expansion of 1 in alpha
4.288 * [backup-simplify]: Simplify 1 into 1
4.288 * [taylor]: Taking taylor expansion of 0 in i
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 0 into 0
4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.289 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.289 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
4.289 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.289 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.290 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.290 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.290 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.290 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
4.291 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
4.291 * [backup-simplify]: Simplify (+ (* 1 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) 1)) into (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))
4.291 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) 1)))) into (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)))
4.291 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) in alpha
4.291 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) in alpha
4.291 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
4.291 * [taylor]: Taking taylor expansion of 3 in alpha
4.291 * [backup-simplify]: Simplify 3 into 3
4.291 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.291 * [taylor]: Taking taylor expansion of alpha in alpha
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 1 into 1
4.292 * [backup-simplify]: Simplify (/ 1 1) into 1
4.292 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in alpha
4.292 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
4.292 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.292 * [backup-simplify]: Simplify 4.0 into 4.0
4.292 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.292 * [taylor]: Taking taylor expansion of i in alpha
4.292 * [backup-simplify]: Simplify i into i
4.292 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.292 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.292 * [backup-simplify]: Simplify 2.0 into 2.0
4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.293 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
4.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.294 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.294 * [backup-simplify]: Simplify (+ 0 0) into 0
4.294 * [backup-simplify]: Simplify (+ 0 0) into 0
4.294 * [backup-simplify]: Simplify (- 0) into 0
4.294 * [taylor]: Taking taylor expansion of 0 in i
4.294 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [taylor]: Taking taylor expansion of 0 in i
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.295 * [backup-simplify]: Simplify (- 0) into 0
4.296 * [backup-simplify]: Simplify (+ 0 0) into 0
4.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.296 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.297 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.298 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.298 * [backup-simplify]: Simplify (+ 0 0) into 0
4.298 * [backup-simplify]: Simplify (+ 0 0) into 0
4.299 * [backup-simplify]: Simplify (+ 0 0) into 0
4.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* 0 1))) into (+ (* 2.0 (/ 1 alpha)) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 i)) (/ 1 (pow alpha 2))))))
4.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (+ (* 2.0 (/ 1 alpha)) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 i)) (/ 1 (pow alpha 2)))))) 1)) (* (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) (/ (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) 1)))) into (+ (* 8.0 (/ 1 alpha)) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))))
4.301 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))))) in alpha
4.301 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
4.301 * [taylor]: Taking taylor expansion of 8.0 in alpha
4.301 * [backup-simplify]: Simplify 8.0 into 8.0
4.301 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.301 * [taylor]: Taking taylor expansion of alpha in alpha
4.301 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify 1 into 1
4.301 * [backup-simplify]: Simplify (/ 1 1) into 1
4.301 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))) in alpha
4.301 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
4.301 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.301 * [backup-simplify]: Simplify 16.0 into 16.0
4.302 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.302 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.302 * [taylor]: Taking taylor expansion of alpha in alpha
4.302 * [backup-simplify]: Simplify 0 into 0
4.302 * [backup-simplify]: Simplify 1 into 1
4.302 * [taylor]: Taking taylor expansion of i in alpha
4.302 * [backup-simplify]: Simplify i into i
4.302 * [backup-simplify]: Simplify (* 0 i) into 0
4.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.302 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.302 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
4.302 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
4.302 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.302 * [backup-simplify]: Simplify 12.0 into 12.0
4.302 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.302 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.302 * [taylor]: Taking taylor expansion of i in alpha
4.302 * [backup-simplify]: Simplify i into i
4.302 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.302 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.302 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
4.302 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
4.302 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.302 * [backup-simplify]: Simplify 12.0 into 12.0
4.302 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.302 * [taylor]: Taking taylor expansion of i in alpha
4.302 * [backup-simplify]: Simplify i into i
4.302 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.302 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
4.302 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
4.302 * [taylor]: Taking taylor expansion of 5 in alpha
4.302 * [backup-simplify]: Simplify 5 into 5
4.302 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.302 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.303 * [taylor]: Taking taylor expansion of alpha in alpha
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify 1 into 1
4.303 * [backup-simplify]: Simplify (* 1 1) into 1
4.303 * [backup-simplify]: Simplify (/ 1 1) into 1
4.303 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.303 * [backup-simplify]: Simplify 4.0 into 4.0
4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.641 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
4.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
4.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.644 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.644 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
4.645 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
4.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.646 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.650 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.651 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (+ 0 0) into 0
4.651 * [backup-simplify]: Simplify (+ 0 0) into 0
4.652 * [backup-simplify]: Simplify (+ 0 0) into 0
4.652 * [taylor]: Taking taylor expansion of 0 in i
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.653 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.654 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.654 * [backup-simplify]: Simplify (+ 0 0) into 0
4.654 * [backup-simplify]: Simplify (+ 0 0) into 0
4.654 * [backup-simplify]: Simplify (- 0) into 0
4.654 * [taylor]: Taking taylor expansion of 0 in i
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) into (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))
4.655 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in (beta alpha i) around 0
4.655 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
4.655 * [taylor]: Taking taylor expansion of -1 in i
4.655 * [backup-simplify]: Simplify -1 into -1
4.655 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
4.655 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
4.655 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.655 * [taylor]: Taking taylor expansion of alpha in i
4.655 * [backup-simplify]: Simplify alpha into alpha
4.655 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.655 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.655 * [taylor]: Taking taylor expansion of beta in i
4.655 * [backup-simplify]: Simplify beta into beta
4.655 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.655 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.655 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.655 * [taylor]: Taking taylor expansion of 2.0 in i
4.655 * [backup-simplify]: Simplify 2.0 into 2.0
4.655 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.655 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.655 * [taylor]: Taking taylor expansion of alpha in i
4.655 * [backup-simplify]: Simplify alpha into alpha
4.655 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.655 * [taylor]: Taking taylor expansion of 2.0 in i
4.655 * [backup-simplify]: Simplify 2.0 into 2.0
4.655 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.655 * [taylor]: Taking taylor expansion of i in i
4.655 * [backup-simplify]: Simplify 0 into 0
4.655 * [backup-simplify]: Simplify 1 into 1
4.656 * [backup-simplify]: Simplify (/ 1 1) into 1
4.656 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.656 * [taylor]: Taking taylor expansion of beta in i
4.656 * [backup-simplify]: Simplify beta into beta
4.656 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.656 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.656 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.656 * [taylor]: Taking taylor expansion of alpha in i
4.656 * [backup-simplify]: Simplify alpha into alpha
4.656 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.656 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.656 * [taylor]: Taking taylor expansion of 2.0 in i
4.656 * [backup-simplify]: Simplify 2.0 into 2.0
4.656 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.656 * [taylor]: Taking taylor expansion of i in i
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify 1 into 1
4.656 * [backup-simplify]: Simplify (/ 1 1) into 1
4.656 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.656 * [taylor]: Taking taylor expansion of beta in i
4.656 * [backup-simplify]: Simplify beta into beta
4.656 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.656 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
4.657 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
4.657 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.657 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.657 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.658 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.658 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
4.658 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.659 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.659 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.659 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
4.660 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) -4.0) into (* -0.25 (- (/ 1 alpha) (/ 1 beta)))
4.660 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
4.660 * [taylor]: Taking taylor expansion of -1 in alpha
4.660 * [backup-simplify]: Simplify -1 into -1
4.660 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.660 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
4.660 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.660 * [taylor]: Taking taylor expansion of alpha in alpha
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.660 * [backup-simplify]: Simplify (/ 1 1) into 1
4.660 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.660 * [taylor]: Taking taylor expansion of beta in alpha
4.660 * [backup-simplify]: Simplify beta into beta
4.660 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.660 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.660 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.660 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.660 * [backup-simplify]: Simplify 2.0 into 2.0
4.660 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.660 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.660 * [taylor]: Taking taylor expansion of alpha in alpha
4.660 * [backup-simplify]: Simplify 0 into 0
4.660 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (/ 1 1) into 1
4.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.661 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.661 * [backup-simplify]: Simplify 2.0 into 2.0
4.661 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.661 * [taylor]: Taking taylor expansion of i in alpha
4.661 * [backup-simplify]: Simplify i into i
4.661 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.661 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.661 * [taylor]: Taking taylor expansion of beta in alpha
4.661 * [backup-simplify]: Simplify beta into beta
4.661 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.661 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.661 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.661 * [taylor]: Taking taylor expansion of alpha in alpha
4.661 * [backup-simplify]: Simplify 0 into 0
4.661 * [backup-simplify]: Simplify 1 into 1
4.661 * [backup-simplify]: Simplify (/ 1 1) into 1
4.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.661 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.661 * [backup-simplify]: Simplify 2.0 into 2.0
4.661 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.661 * [taylor]: Taking taylor expansion of i in alpha
4.661 * [backup-simplify]: Simplify i into i
4.661 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.661 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.661 * [taylor]: Taking taylor expansion of beta in alpha
4.661 * [backup-simplify]: Simplify beta into beta
4.662 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.662 * [backup-simplify]: Simplify (+ 1 0) into 1
4.662 * [backup-simplify]: Simplify (+ 1 0) into 1
4.662 * [backup-simplify]: Simplify (- 1) into -1
4.663 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.663 * [backup-simplify]: Simplify (+ 1 0) into 1
4.663 * [backup-simplify]: Simplify (* -1 1) into -1
4.663 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.663 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
4.663 * [taylor]: Taking taylor expansion of -1 in beta
4.663 * [backup-simplify]: Simplify -1 into -1
4.663 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.663 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.663 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.663 * [taylor]: Taking taylor expansion of alpha in beta
4.663 * [backup-simplify]: Simplify alpha into alpha
4.663 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.663 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.664 * [taylor]: Taking taylor expansion of beta in beta
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 1 into 1
4.664 * [backup-simplify]: Simplify (/ 1 1) into 1
4.664 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.664 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.664 * [taylor]: Taking taylor expansion of 2.0 in beta
4.664 * [backup-simplify]: Simplify 2.0 into 2.0
4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.664 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.664 * [taylor]: Taking taylor expansion of alpha in beta
4.664 * [backup-simplify]: Simplify alpha into alpha
4.664 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.664 * [taylor]: Taking taylor expansion of 2.0 in beta
4.664 * [backup-simplify]: Simplify 2.0 into 2.0
4.664 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.664 * [taylor]: Taking taylor expansion of i in beta
4.664 * [backup-simplify]: Simplify i into i
4.664 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.664 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.664 * [taylor]: Taking taylor expansion of beta in beta
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 1 into 1
4.664 * [backup-simplify]: Simplify (/ 1 1) into 1
4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.664 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.664 * [taylor]: Taking taylor expansion of alpha in beta
4.665 * [backup-simplify]: Simplify alpha into alpha
4.665 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.665 * [taylor]: Taking taylor expansion of 2.0 in beta
4.665 * [backup-simplify]: Simplify 2.0 into 2.0
4.665 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.665 * [taylor]: Taking taylor expansion of i in beta
4.665 * [backup-simplify]: Simplify i into i
4.665 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.665 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.665 * [taylor]: Taking taylor expansion of beta in beta
4.665 * [backup-simplify]: Simplify 0 into 0
4.665 * [backup-simplify]: Simplify 1 into 1
4.665 * [backup-simplify]: Simplify (/ 1 1) into 1
4.665 * [backup-simplify]: Simplify (- 1) into -1
4.665 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.666 * [backup-simplify]: Simplify (+ 0 1) into 1
4.666 * [backup-simplify]: Simplify (+ 0 1) into 1
4.666 * [backup-simplify]: Simplify (- 1) into -1
4.666 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.667 * [backup-simplify]: Simplify (+ 0 1) into 1
4.667 * [backup-simplify]: Simplify (+ 0 1) into 1
4.667 * [backup-simplify]: Simplify (* -1 1) into -1
4.667 * [backup-simplify]: Simplify (/ -1 -1) into 1
4.667 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
4.668 * [taylor]: Taking taylor expansion of -1 in beta
4.668 * [backup-simplify]: Simplify -1 into -1
4.668 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.668 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.668 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.668 * [taylor]: Taking taylor expansion of alpha in beta
4.668 * [backup-simplify]: Simplify alpha into alpha
4.668 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.668 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.668 * [taylor]: Taking taylor expansion of beta in beta
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (/ 1 1) into 1
4.668 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.668 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.668 * [taylor]: Taking taylor expansion of 2.0 in beta
4.668 * [backup-simplify]: Simplify 2.0 into 2.0
4.668 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.668 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.668 * [taylor]: Taking taylor expansion of alpha in beta
4.668 * [backup-simplify]: Simplify alpha into alpha
4.668 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.668 * [taylor]: Taking taylor expansion of 2.0 in beta
4.668 * [backup-simplify]: Simplify 2.0 into 2.0
4.668 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.668 * [taylor]: Taking taylor expansion of i in beta
4.668 * [backup-simplify]: Simplify i into i
4.668 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.668 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.668 * [taylor]: Taking taylor expansion of beta in beta
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.669 * [backup-simplify]: Simplify (/ 1 1) into 1
4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.669 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.669 * [taylor]: Taking taylor expansion of alpha in beta
4.669 * [backup-simplify]: Simplify alpha into alpha
4.669 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.669 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.669 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.669 * [taylor]: Taking taylor expansion of 2.0 in beta
4.669 * [backup-simplify]: Simplify 2.0 into 2.0
4.669 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.669 * [taylor]: Taking taylor expansion of i in beta
4.669 * [backup-simplify]: Simplify i into i
4.669 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.669 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.669 * [taylor]: Taking taylor expansion of beta in beta
4.669 * [backup-simplify]: Simplify 0 into 0
4.669 * [backup-simplify]: Simplify 1 into 1
4.669 * [backup-simplify]: Simplify (/ 1 1) into 1
4.669 * [backup-simplify]: Simplify (- 1) into -1
4.670 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.670 * [backup-simplify]: Simplify (+ 0 1) into 1
4.670 * [backup-simplify]: Simplify (+ 0 1) into 1
4.670 * [backup-simplify]: Simplify (- 1) into -1
4.671 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.671 * [backup-simplify]: Simplify (+ 0 1) into 1
4.671 * [backup-simplify]: Simplify (+ 0 1) into 1
4.672 * [backup-simplify]: Simplify (* -1 1) into -1
4.672 * [backup-simplify]: Simplify (/ -1 -1) into 1
4.672 * [backup-simplify]: Simplify (* -1 1) into -1
4.672 * [taylor]: Taking taylor expansion of -1 in alpha
4.672 * [backup-simplify]: Simplify -1 into -1
4.672 * [taylor]: Taking taylor expansion of 0 in i
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.673 * [backup-simplify]: Simplify (- 0) into 0
4.673 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
4.673 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.674 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.674 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.674 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.674 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
4.675 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
4.675 * [backup-simplify]: Simplify (+ (* -1 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) 1)) into (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i))))
4.675 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) -1) (+ (* 1 (/ (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i)))) -1)))) into (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))
4.675 * [backup-simplify]: Simplify (+ (* -1 (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))) (* 0 1)) into (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0)
4.676 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0) in alpha
4.676 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) in alpha
4.676 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
4.676 * [taylor]: Taking taylor expansion of 3 in alpha
4.676 * [backup-simplify]: Simplify 3 into 3
4.676 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.676 * [taylor]: Taking taylor expansion of alpha in alpha
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 1 into 1
4.676 * [backup-simplify]: Simplify (/ 1 1) into 1
4.676 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
4.676 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.676 * [backup-simplify]: Simplify 4.0 into 4.0
4.676 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.676 * [taylor]: Taking taylor expansion of i in alpha
4.676 * [backup-simplify]: Simplify i into i
4.676 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.676 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.676 * [backup-simplify]: Simplify 2.0 into 2.0
4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.678 * [backup-simplify]: Simplify (+ 0 0) into 0
4.678 * [backup-simplify]: Simplify (- 0) into 0
4.679 * [backup-simplify]: Simplify (+ 0 0) into 0
4.679 * [taylor]: Taking taylor expansion of 0 in i
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [taylor]: Taking taylor expansion of 0 in i
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify 0 into 0
4.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (- 0) into 0
4.680 * [backup-simplify]: Simplify (+ 0 0) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.680 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (+ 0 0) into 0
4.681 * [backup-simplify]: Simplify (+ 0 0) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.682 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.683 * [backup-simplify]: Simplify (- 0) into 0
4.683 * [backup-simplify]: Simplify (+ 0 0) into 0
4.684 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* 0 1))) into (- (+ (* 2.0 (/ 1 alpha)) (* 4.0 (/ 1 i))) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow alpha 2)))))
4.686 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (+ (* 2.0 (/ 1 alpha)) (* 4.0 (/ 1 i))) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow alpha 2))))) -1)) (* (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i)))) (/ (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i)))) -1)))) into (- (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))))
4.687 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))))) (+ (* 0 (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))) (* 0 1))) into (- (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))))
4.687 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))) in alpha
4.687 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) in alpha
4.687 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
4.687 * [taylor]: Taking taylor expansion of 8.0 in alpha
4.687 * [backup-simplify]: Simplify 8.0 into 8.0
4.687 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.687 * [taylor]: Taking taylor expansion of alpha in alpha
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.687 * [backup-simplify]: Simplify (/ 1 1) into 1
4.687 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
4.687 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.687 * [backup-simplify]: Simplify 12.0 into 12.0
4.687 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.687 * [taylor]: Taking taylor expansion of i in alpha
4.687 * [backup-simplify]: Simplify i into i
4.687 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.687 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
4.687 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
4.687 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.687 * [backup-simplify]: Simplify 16.0 into 16.0
4.687 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.687 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.687 * [taylor]: Taking taylor expansion of alpha in alpha
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.687 * [taylor]: Taking taylor expansion of i in alpha
4.687 * [backup-simplify]: Simplify i into i
4.687 * [backup-simplify]: Simplify (* 0 i) into 0
4.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.688 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.688 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
4.688 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
4.688 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.688 * [backup-simplify]: Simplify 12.0 into 12.0
4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.688 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.688 * [taylor]: Taking taylor expansion of i in alpha
4.688 * [backup-simplify]: Simplify i into i
4.688 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.688 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.688 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
4.688 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
4.688 * [taylor]: Taking taylor expansion of 5 in alpha
4.688 * [backup-simplify]: Simplify 5 into 5
4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.688 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.688 * [taylor]: Taking taylor expansion of alpha in alpha
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (* 1 1) into 1
4.689 * [backup-simplify]: Simplify (/ 1 1) into 1
4.689 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.689 * [backup-simplify]: Simplify 4.0 into 4.0
4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.690 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
4.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.691 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.691 * [backup-simplify]: Simplify (+ 0 0) into 0
4.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
4.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.694 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.694 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
4.695 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (- 0) into 0
4.702 * [backup-simplify]: Simplify (+ 0 0) into 0
4.702 * [taylor]: Taking taylor expansion of 0 in i
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.705 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.705 * [backup-simplify]: Simplify (+ 0 0) into 0
4.705 * [backup-simplify]: Simplify (- 0) into 0
4.706 * [backup-simplify]: Simplify (+ 0 0) into 0
4.706 * [taylor]: Taking taylor expansion of 0 in i
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1)
4.706 * [backup-simplify]: Simplify (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) into (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta)))
4.706 * [approximate]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in (beta alpha i) around 0
4.706 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in i
4.706 * [taylor]: Taking taylor expansion of (- beta alpha) in i
4.706 * [taylor]: Taking taylor expansion of beta in i
4.706 * [backup-simplify]: Simplify beta into beta
4.706 * [taylor]: Taking taylor expansion of alpha in i
4.706 * [backup-simplify]: Simplify alpha into alpha
4.706 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
4.706 * [taylor]: Taking taylor expansion of alpha in i
4.706 * [backup-simplify]: Simplify alpha into alpha
4.706 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
4.706 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.706 * [taylor]: Taking taylor expansion of 2.0 in i
4.706 * [backup-simplify]: Simplify 2.0 into 2.0
4.706 * [taylor]: Taking taylor expansion of i in i
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 1 into 1
4.707 * [taylor]: Taking taylor expansion of beta in i
4.707 * [backup-simplify]: Simplify beta into beta
4.707 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.707 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
4.707 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.707 * [backup-simplify]: Simplify (+ 0 beta) into beta
4.707 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
4.707 * [backup-simplify]: Simplify (/ (- beta alpha) (+ alpha beta)) into (/ (- beta alpha) (+ alpha beta))
4.707 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in alpha
4.707 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
4.707 * [taylor]: Taking taylor expansion of beta in alpha
4.707 * [backup-simplify]: Simplify beta into beta
4.707 * [taylor]: Taking taylor expansion of alpha in alpha
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 1 into 1
4.707 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
4.708 * [taylor]: Taking taylor expansion of alpha in alpha
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
4.708 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.708 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.708 * [backup-simplify]: Simplify 2.0 into 2.0
4.708 * [taylor]: Taking taylor expansion of i in alpha
4.708 * [backup-simplify]: Simplify i into i
4.708 * [taylor]: Taking taylor expansion of beta in alpha
4.708 * [backup-simplify]: Simplify beta into beta
4.708 * [backup-simplify]: Simplify (- 0) into 0
4.708 * [backup-simplify]: Simplify (+ beta 0) into beta
4.708 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.708 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
4.708 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
4.709 * [backup-simplify]: Simplify (/ beta (+ (* 2.0 i) beta)) into (/ beta (+ (* 2.0 i) beta))
4.709 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
4.709 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.709 * [taylor]: Taking taylor expansion of beta in beta
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [taylor]: Taking taylor expansion of alpha in beta
4.709 * [backup-simplify]: Simplify alpha into alpha
4.709 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.709 * [taylor]: Taking taylor expansion of alpha in beta
4.709 * [backup-simplify]: Simplify alpha into alpha
4.709 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.709 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.709 * [taylor]: Taking taylor expansion of 2.0 in beta
4.709 * [backup-simplify]: Simplify 2.0 into 2.0
4.709 * [taylor]: Taking taylor expansion of i in beta
4.709 * [backup-simplify]: Simplify i into i
4.709 * [taylor]: Taking taylor expansion of beta in beta
4.709 * [backup-simplify]: Simplify 0 into 0
4.709 * [backup-simplify]: Simplify 1 into 1
4.709 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.709 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.709 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.709 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.709 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.709 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
4.709 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
4.710 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.710 * [taylor]: Taking taylor expansion of beta in beta
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [taylor]: Taking taylor expansion of alpha in beta
4.710 * [backup-simplify]: Simplify alpha into alpha
4.710 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.710 * [taylor]: Taking taylor expansion of alpha in beta
4.710 * [backup-simplify]: Simplify alpha into alpha
4.710 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.710 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.710 * [taylor]: Taking taylor expansion of 2.0 in beta
4.710 * [backup-simplify]: Simplify 2.0 into 2.0
4.710 * [taylor]: Taking taylor expansion of i in beta
4.710 * [backup-simplify]: Simplify i into i
4.710 * [taylor]: Taking taylor expansion of beta in beta
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.710 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.710 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.710 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.710 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.710 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
4.710 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (+ alpha (* 2.0 i)))) in alpha
4.711 * [taylor]: Taking taylor expansion of -1 in alpha
4.711 * [backup-simplify]: Simplify -1 into -1
4.711 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
4.711 * [taylor]: Taking taylor expansion of alpha in alpha
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.711 * [taylor]: Taking taylor expansion of alpha in alpha
4.711 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify 1 into 1
4.711 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.711 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.711 * [backup-simplify]: Simplify 2.0 into 2.0
4.711 * [taylor]: Taking taylor expansion of i in alpha
4.711 * [backup-simplify]: Simplify i into i
4.711 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.711 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.711 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
4.712 * [backup-simplify]: Simplify (- 0) into 0
4.712 * [backup-simplify]: Simplify (+ 1 0) into 1
4.712 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.713 * [backup-simplify]: Simplify (+ 0 1) into 1
4.713 * [backup-simplify]: Simplify (+ 0 1) into 1
4.714 * [backup-simplify]: Simplify (- (/ 1 (+ alpha (* 2.0 i))) (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (/ 1 (+ alpha (* 2.0 i)))))) into (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))
4.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
4.714 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
4.714 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.714 * [taylor]: Taking taylor expansion of alpha in alpha
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.714 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.714 * [backup-simplify]: Simplify 2.0 into 2.0
4.714 * [taylor]: Taking taylor expansion of i in alpha
4.714 * [backup-simplify]: Simplify i into i
4.714 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.714 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.714 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
4.714 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.714 * [taylor]: Taking taylor expansion of alpha in alpha
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.714 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.714 * [taylor]: Taking taylor expansion of alpha in alpha
4.714 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify 1 into 1
4.714 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.715 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.715 * [backup-simplify]: Simplify 2.0 into 2.0
4.715 * [taylor]: Taking taylor expansion of i in alpha
4.715 * [backup-simplify]: Simplify i into i
4.715 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.715 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.715 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.715 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
4.715 * [backup-simplify]: Simplify (+ (/ 0.5 i) 0) into (* 0.5 (/ 1 i))
4.715 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 i)) in i
4.715 * [taylor]: Taking taylor expansion of 0.5 in i
4.715 * [backup-simplify]: Simplify 0.5 into 0.5
4.715 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.715 * [taylor]: Taking taylor expansion of i in i
4.715 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify 1 into 1
4.716 * [backup-simplify]: Simplify (/ 1 1) into 1
4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify (* -1 (/ 0.5 i)) into (/ -0.5 i)
4.717 * [taylor]: Taking taylor expansion of (/ -0.5 i) in i
4.717 * [taylor]: Taking taylor expansion of -0.5 in i
4.717 * [backup-simplify]: Simplify -0.5 into -0.5
4.717 * [taylor]: Taking taylor expansion of i in i
4.717 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify 1 into 1
4.718 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)))) into 0
4.718 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify (- 0) into 0
4.719 * [backup-simplify]: Simplify (+ 0 0) into 0
4.720 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
4.720 * [backup-simplify]: Simplify (+ 0 0) into 0
4.720 * [backup-simplify]: Simplify (+ 0 0) into 0
4.721 * [backup-simplify]: Simplify (- (/ 0 (+ alpha (* 2.0 i))) (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (/ 0 (+ alpha (* 2.0 i)))) (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (/ 1 (+ alpha (* 2.0 i)))))) into (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3))))
4.722 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3)))) in alpha
4.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) in alpha
4.722 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.722 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.722 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.722 * [taylor]: Taking taylor expansion of alpha in alpha
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.722 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.722 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.722 * [backup-simplify]: Simplify 2.0 into 2.0
4.722 * [taylor]: Taking taylor expansion of i in alpha
4.722 * [backup-simplify]: Simplify i into i
4.722 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.722 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.722 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.722 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
4.722 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 3)) in alpha
4.722 * [taylor]: Taking taylor expansion of alpha in alpha
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.722 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.722 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.722 * [taylor]: Taking taylor expansion of alpha in alpha
4.722 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify 1 into 1
4.723 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.723 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.723 * [backup-simplify]: Simplify 2.0 into 2.0
4.723 * [taylor]: Taking taylor expansion of i in alpha
4.723 * [backup-simplify]: Simplify i into i
4.723 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.723 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.723 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.723 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.723 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
4.723 * [backup-simplify]: Simplify (+ (/ 0.25 (pow i 2)) 0) into (* 0.25 (/ 1 (pow i 2)))
4.724 * [backup-simplify]: Simplify (- (* 0.25 (/ 1 (pow i 2)))) into (- (* 0.25 (/ 1 (pow i 2))))
4.724 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
4.724 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
4.724 * [taylor]: Taking taylor expansion of 0.25 in i
4.724 * [backup-simplify]: Simplify 0.25 into 0.25
4.724 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.724 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.724 * [taylor]: Taking taylor expansion of i in i
4.724 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify 1 into 1
4.724 * [backup-simplify]: Simplify (* 1 1) into 1
4.725 * [backup-simplify]: Simplify (/ 1 1) into 1
4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
4.729 * [backup-simplify]: Simplify (- 0) into 0
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.729 * [backup-simplify]: Simplify (+ 1 0) into 1
4.730 * [backup-simplify]: Simplify (- (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
4.730 * [backup-simplify]: Simplify (+ (- (* 0.25 (/ 1 (pow i 2)))) (/ 0.25 (pow i 2))) into 0
4.730 * [taylor]: Taking taylor expansion of 0 in i
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.731 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.731 * [backup-simplify]: Simplify (+ 1 0) into 1
4.732 * [backup-simplify]: Simplify (- (/ 0 (* 2.0 i)) (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
4.732 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.25 (/ 1 (pow i 2))))) (* 0 (/ 0.5 i))) into (* 0.25 (/ 1 (pow i 2)))
4.732 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
4.732 * [taylor]: Taking taylor expansion of 0.25 in i
4.732 * [backup-simplify]: Simplify 0.25 into 0.25
4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.732 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.732 * [taylor]: Taking taylor expansion of i in i
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (* 1 1) into 1
4.733 * [backup-simplify]: Simplify (/ 1 1) into 1
4.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.737 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
4.737 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) into (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))
4.739 * [approximate]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (beta alpha i) around 0
4.739 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.739 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
4.739 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.739 * [taylor]: Taking taylor expansion of beta in i
4.739 * [backup-simplify]: Simplify beta into beta
4.739 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.739 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.739 * [taylor]: Taking taylor expansion of alpha in i
4.739 * [backup-simplify]: Simplify alpha into alpha
4.739 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.739 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.739 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.739 * [taylor]: Taking taylor expansion of alpha in i
4.739 * [backup-simplify]: Simplify alpha into alpha
4.739 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.739 * [taylor]: Taking taylor expansion of 2.0 in i
4.739 * [backup-simplify]: Simplify 2.0 into 2.0
4.739 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.740 * [taylor]: Taking taylor expansion of i in i
4.740 * [backup-simplify]: Simplify 0 into 0
4.740 * [backup-simplify]: Simplify 1 into 1
4.740 * [backup-simplify]: Simplify (/ 1 1) into 1
4.740 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.740 * [taylor]: Taking taylor expansion of beta in i
4.740 * [backup-simplify]: Simplify beta into beta
4.740 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.740 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.740 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
4.741 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.741 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.741 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.742 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 2.0) into (* 0.5 (- (/ 1 beta) (/ 1 alpha)))
4.742 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.742 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
4.742 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.742 * [taylor]: Taking taylor expansion of beta in alpha
4.742 * [backup-simplify]: Simplify beta into beta
4.742 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.742 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.742 * [taylor]: Taking taylor expansion of alpha in alpha
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 1 into 1
4.742 * [backup-simplify]: Simplify (/ 1 1) into 1
4.742 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.742 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.742 * [taylor]: Taking taylor expansion of alpha in alpha
4.742 * [backup-simplify]: Simplify 0 into 0
4.742 * [backup-simplify]: Simplify 1 into 1
4.743 * [backup-simplify]: Simplify (/ 1 1) into 1
4.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.743 * [backup-simplify]: Simplify 2.0 into 2.0
4.743 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.743 * [taylor]: Taking taylor expansion of i in alpha
4.743 * [backup-simplify]: Simplify i into i
4.743 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.743 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.743 * [taylor]: Taking taylor expansion of beta in alpha
4.743 * [backup-simplify]: Simplify beta into beta
4.743 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.743 * [backup-simplify]: Simplify (- 1) into -1
4.744 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.744 * [backup-simplify]: Simplify (+ 1 0) into 1
4.745 * [backup-simplify]: Simplify (/ -1 1) into -1
4.745 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.745 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.745 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.745 * [taylor]: Taking taylor expansion of beta in beta
4.745 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [backup-simplify]: Simplify (/ 1 1) into 1
4.745 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.745 * [taylor]: Taking taylor expansion of alpha in beta
4.745 * [backup-simplify]: Simplify alpha into alpha
4.745 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.745 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.745 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.745 * [taylor]: Taking taylor expansion of alpha in beta
4.745 * [backup-simplify]: Simplify alpha into alpha
4.745 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.745 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.745 * [taylor]: Taking taylor expansion of 2.0 in beta
4.746 * [backup-simplify]: Simplify 2.0 into 2.0
4.746 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.746 * [taylor]: Taking taylor expansion of i in beta
4.746 * [backup-simplify]: Simplify i into i
4.746 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.746 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.746 * [taylor]: Taking taylor expansion of beta in beta
4.746 * [backup-simplify]: Simplify 0 into 0
4.746 * [backup-simplify]: Simplify 1 into 1
4.746 * [backup-simplify]: Simplify (/ 1 1) into 1
4.746 * [backup-simplify]: Simplify (+ 1 0) into 1
4.747 * [backup-simplify]: Simplify (+ 0 1) into 1
4.747 * [backup-simplify]: Simplify (+ 0 1) into 1
4.748 * [backup-simplify]: Simplify (/ 1 1) into 1
4.748 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.748 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.748 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.748 * [taylor]: Taking taylor expansion of beta in beta
4.748 * [backup-simplify]: Simplify 0 into 0
4.748 * [backup-simplify]: Simplify 1 into 1
4.748 * [backup-simplify]: Simplify (/ 1 1) into 1
4.748 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.748 * [taylor]: Taking taylor expansion of alpha in beta
4.748 * [backup-simplify]: Simplify alpha into alpha
4.748 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.748 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.748 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.748 * [taylor]: Taking taylor expansion of alpha in beta
4.748 * [backup-simplify]: Simplify alpha into alpha
4.748 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.748 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.749 * [taylor]: Taking taylor expansion of 2.0 in beta
4.749 * [backup-simplify]: Simplify 2.0 into 2.0
4.749 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.749 * [taylor]: Taking taylor expansion of i in beta
4.749 * [backup-simplify]: Simplify i into i
4.749 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.749 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.749 * [taylor]: Taking taylor expansion of beta in beta
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 1 into 1
4.749 * [backup-simplify]: Simplify (/ 1 1) into 1
4.749 * [backup-simplify]: Simplify (+ 1 0) into 1
4.750 * [backup-simplify]: Simplify (+ 0 1) into 1
4.750 * [backup-simplify]: Simplify (+ 0 1) into 1
4.751 * [backup-simplify]: Simplify (/ 1 1) into 1
4.751 * [taylor]: Taking taylor expansion of 1 in alpha
4.751 * [backup-simplify]: Simplify 1 into 1
4.751 * [taylor]: Taking taylor expansion of 1 in i
4.751 * [backup-simplify]: Simplify 1 into 1
4.751 * [backup-simplify]: Simplify 0 into 0
4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.752 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
4.752 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.753 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.753 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.753 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
4.753 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) in alpha
4.753 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) in alpha
4.754 * [taylor]: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha
4.754 * [taylor]: Taking taylor expansion of 2 in alpha
4.754 * [backup-simplify]: Simplify 2 into 2
4.754 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.754 * [taylor]: Taking taylor expansion of alpha in alpha
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 1 into 1
4.754 * [backup-simplify]: Simplify (/ 1 1) into 1
4.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.754 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.754 * [backup-simplify]: Simplify 2.0 into 2.0
4.754 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.754 * [taylor]: Taking taylor expansion of i in alpha
4.754 * [backup-simplify]: Simplify i into i
4.754 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.761 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.762 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.762 * [backup-simplify]: Simplify (+ 0 (/ 2.0 i)) into (* 2.0 (/ 1 i))
4.762 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
4.762 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
4.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.762 * [taylor]: Taking taylor expansion of 2.0 in i
4.762 * [backup-simplify]: Simplify 2.0 into 2.0
4.762 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.762 * [taylor]: Taking taylor expansion of i in i
4.762 * [backup-simplify]: Simplify 0 into 0
4.762 * [backup-simplify]: Simplify 1 into 1
4.763 * [backup-simplify]: Simplify (/ 1 1) into 1
4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
4.765 * [backup-simplify]: Simplify (- 0) into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [taylor]: Taking taylor expansion of 0 in i
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.765 * [backup-simplify]: Simplify 0 into 0
4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.767 * [backup-simplify]: Simplify (- 0) into 0
4.767 * [backup-simplify]: Simplify (+ 0 0) into 0
4.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.768 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.769 * [backup-simplify]: Simplify (+ 0 0) into 0
4.769 * [backup-simplify]: Simplify (+ 0 0) into 0
4.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))))
4.771 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))) in alpha
4.771 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (* alpha i))) in alpha
4.771 * [taylor]: Taking taylor expansion of 6.0 in alpha
4.771 * [backup-simplify]: Simplify 6.0 into 6.0
4.771 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.771 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.771 * [taylor]: Taking taylor expansion of alpha in alpha
4.772 * [backup-simplify]: Simplify 0 into 0
4.772 * [backup-simplify]: Simplify 1 into 1
4.772 * [taylor]: Taking taylor expansion of i in alpha
4.772 * [backup-simplify]: Simplify i into i
4.772 * [backup-simplify]: Simplify (* 0 i) into 0
4.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.772 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.772 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))) in alpha
4.772 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in alpha
4.772 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.772 * [backup-simplify]: Simplify 4.0 into 4.0
4.772 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.772 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.772 * [taylor]: Taking taylor expansion of i in alpha
4.773 * [backup-simplify]: Simplify i into i
4.773 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.773 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow alpha 2))) in alpha
4.773 * [taylor]: Taking taylor expansion of 2 in alpha
4.773 * [backup-simplify]: Simplify 2 into 2
4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.773 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.773 * [taylor]: Taking taylor expansion of alpha in alpha
4.773 * [backup-simplify]: Simplify 0 into 0
4.773 * [backup-simplify]: Simplify 1 into 1
4.773 * [backup-simplify]: Simplify (* 1 1) into 1
4.774 * [backup-simplify]: Simplify (/ 1 1) into 1
4.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.775 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 (/ 1 i))) into 0
4.776 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow i 2))) into (/ 4.0 (pow i 2))
4.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.780 * [backup-simplify]: Simplify (+ (/ 4.0 (pow i 2)) 0) into (* 4.0 (/ 1 (pow i 2)))
4.780 * [backup-simplify]: Simplify (+ 0 (* 4.0 (/ 1 (pow i 2)))) into (* 4.0 (/ 1 (pow i 2)))
4.780 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i
4.780 * [taylor]: Taking taylor expansion of 4.0 in i
4.780 * [backup-simplify]: Simplify 4.0 into 4.0
4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.780 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.780 * [taylor]: Taking taylor expansion of i in i
4.780 * [backup-simplify]: Simplify 0 into 0
4.780 * [backup-simplify]: Simplify 1 into 1
4.780 * [backup-simplify]: Simplify (* 1 1) into 1
4.781 * [backup-simplify]: Simplify (/ 1 1) into 1
4.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.786 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.786 * [backup-simplify]: Simplify 0 into 0
4.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.788 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.789 * [backup-simplify]: Simplify (+ 0 0) into 0
4.789 * [backup-simplify]: Simplify (- 0) into 0
4.789 * [taylor]: Taking taylor expansion of 0 in i
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 0 into 0
4.789 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) into (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
4.790 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
4.790 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
4.790 * [taylor]: Taking taylor expansion of -1 in i
4.790 * [backup-simplify]: Simplify -1 into -1
4.790 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.790 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
4.790 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.790 * [taylor]: Taking taylor expansion of alpha in i
4.790 * [backup-simplify]: Simplify alpha into alpha
4.790 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.790 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.790 * [taylor]: Taking taylor expansion of beta in i
4.790 * [backup-simplify]: Simplify beta into beta
4.790 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.790 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.790 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.790 * [taylor]: Taking taylor expansion of alpha in i
4.790 * [backup-simplify]: Simplify alpha into alpha
4.790 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.790 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.790 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.790 * [taylor]: Taking taylor expansion of 2.0 in i
4.790 * [backup-simplify]: Simplify 2.0 into 2.0
4.790 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.790 * [taylor]: Taking taylor expansion of i in i
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify 1 into 1
4.791 * [backup-simplify]: Simplify (/ 1 1) into 1
4.791 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.791 * [taylor]: Taking taylor expansion of beta in i
4.791 * [backup-simplify]: Simplify beta into beta
4.791 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.791 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
4.791 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
4.792 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.792 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.793 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.793 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) 2.0) into (* 0.5 (- (/ 1 alpha) (/ 1 beta)))
4.793 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.793 * [taylor]: Taking taylor expansion of -1 in alpha
4.793 * [backup-simplify]: Simplify -1 into -1
4.793 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.793 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
4.793 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.793 * [taylor]: Taking taylor expansion of alpha in alpha
4.793 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify 1 into 1
4.793 * [backup-simplify]: Simplify (/ 1 1) into 1
4.793 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.793 * [taylor]: Taking taylor expansion of beta in alpha
4.793 * [backup-simplify]: Simplify beta into beta
4.793 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.793 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.793 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.794 * [taylor]: Taking taylor expansion of alpha in alpha
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify 1 into 1
4.794 * [backup-simplify]: Simplify (/ 1 1) into 1
4.794 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.794 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.794 * [backup-simplify]: Simplify 2.0 into 2.0
4.794 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.794 * [taylor]: Taking taylor expansion of i in alpha
4.794 * [backup-simplify]: Simplify i into i
4.794 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.794 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.794 * [taylor]: Taking taylor expansion of beta in alpha
4.794 * [backup-simplify]: Simplify beta into beta
4.794 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.795 * [backup-simplify]: Simplify (+ 1 0) into 1
4.795 * [backup-simplify]: Simplify (+ 1 0) into 1
4.795 * [backup-simplify]: Simplify (/ 1 1) into 1
4.795 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.795 * [taylor]: Taking taylor expansion of -1 in beta
4.795 * [backup-simplify]: Simplify -1 into -1
4.795 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.796 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.796 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.796 * [taylor]: Taking taylor expansion of alpha in beta
4.796 * [backup-simplify]: Simplify alpha into alpha
4.796 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.796 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.796 * [taylor]: Taking taylor expansion of beta in beta
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (/ 1 1) into 1
4.796 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.796 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.796 * [taylor]: Taking taylor expansion of alpha in beta
4.796 * [backup-simplify]: Simplify alpha into alpha
4.796 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.796 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.796 * [taylor]: Taking taylor expansion of 2.0 in beta
4.796 * [backup-simplify]: Simplify 2.0 into 2.0
4.796 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.796 * [taylor]: Taking taylor expansion of i in beta
4.796 * [backup-simplify]: Simplify i into i
4.797 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.797 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.797 * [taylor]: Taking taylor expansion of beta in beta
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify 1 into 1
4.797 * [backup-simplify]: Simplify (/ 1 1) into 1
4.797 * [backup-simplify]: Simplify (- 1) into -1
4.798 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.798 * [backup-simplify]: Simplify (+ 0 1) into 1
4.798 * [backup-simplify]: Simplify (+ 0 1) into 1
4.799 * [backup-simplify]: Simplify (/ -1 1) into -1
4.799 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.799 * [taylor]: Taking taylor expansion of -1 in beta
4.799 * [backup-simplify]: Simplify -1 into -1
4.799 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.799 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.799 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.799 * [taylor]: Taking taylor expansion of alpha in beta
4.799 * [backup-simplify]: Simplify alpha into alpha
4.799 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.799 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.799 * [taylor]: Taking taylor expansion of beta in beta
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 1 into 1
4.799 * [backup-simplify]: Simplify (/ 1 1) into 1
4.800 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.800 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.800 * [taylor]: Taking taylor expansion of alpha in beta
4.800 * [backup-simplify]: Simplify alpha into alpha
4.800 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.800 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.800 * [taylor]: Taking taylor expansion of 2.0 in beta
4.800 * [backup-simplify]: Simplify 2.0 into 2.0
4.800 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.800 * [taylor]: Taking taylor expansion of i in beta
4.800 * [backup-simplify]: Simplify i into i
4.800 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.800 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.800 * [taylor]: Taking taylor expansion of beta in beta
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 1 into 1
4.800 * [backup-simplify]: Simplify (/ 1 1) into 1
4.801 * [backup-simplify]: Simplify (- 1) into -1
4.801 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.801 * [backup-simplify]: Simplify (+ 0 1) into 1
4.802 * [backup-simplify]: Simplify (+ 0 1) into 1
4.802 * [backup-simplify]: Simplify (/ -1 1) into -1
4.803 * [backup-simplify]: Simplify (* -1 -1) into 1
4.803 * [taylor]: Taking taylor expansion of 1 in alpha
4.803 * [backup-simplify]: Simplify 1 into 1
4.803 * [taylor]: Taking taylor expansion of 1 in i
4.803 * [backup-simplify]: Simplify 1 into 1
4.803 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.804 * [backup-simplify]: Simplify (- 0) into 0
4.804 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
4.804 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.805 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.805 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.805 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) 1) (+ (* -1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))
4.806 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* 0 -1)) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
4.806 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) in alpha
4.806 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) in alpha
4.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha
4.806 * [taylor]: Taking taylor expansion of 2 in alpha
4.806 * [backup-simplify]: Simplify 2 into 2
4.806 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.806 * [taylor]: Taking taylor expansion of alpha in alpha
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify 1 into 1
4.806 * [backup-simplify]: Simplify (/ 1 1) into 1
4.806 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.806 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.806 * [backup-simplify]: Simplify 2.0 into 2.0
4.806 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.806 * [taylor]: Taking taylor expansion of i in alpha
4.806 * [backup-simplify]: Simplify i into i
4.806 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.808 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.808 * [backup-simplify]: Simplify (+ 0 (/ 2.0 i)) into (* 2.0 (/ 1 i))
4.808 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
4.808 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
4.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.808 * [taylor]: Taking taylor expansion of 2.0 in i
4.808 * [backup-simplify]: Simplify 2.0 into 2.0
4.808 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.808 * [taylor]: Taking taylor expansion of i in i
4.808 * [backup-simplify]: Simplify 0 into 0
4.808 * [backup-simplify]: Simplify 1 into 1
4.809 * [backup-simplify]: Simplify (/ 1 1) into 1
4.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.811 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
4.811 * [backup-simplify]: Simplify (- 0) into 0
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [taylor]: Taking taylor expansion of 0 in i
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify 0 into 0
4.811 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.813 * [backup-simplify]: Simplify (- 0) into 0
4.813 * [backup-simplify]: Simplify (+ 0 0) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.814 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.815 * [backup-simplify]: Simplify (+ 0 0) into 0
4.815 * [backup-simplify]: Simplify (+ 0 0) into 0
4.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))))
4.818 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))))) (+ (* 0 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* 0 -1))) into (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))))
4.818 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))) in alpha
4.818 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (* alpha i))) in alpha
4.818 * [taylor]: Taking taylor expansion of 6.0 in alpha
4.818 * [backup-simplify]: Simplify 6.0 into 6.0
4.818 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.818 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.818 * [taylor]: Taking taylor expansion of alpha in alpha
4.818 * [backup-simplify]: Simplify 0 into 0
4.818 * [backup-simplify]: Simplify 1 into 1
4.818 * [taylor]: Taking taylor expansion of i in alpha
4.818 * [backup-simplify]: Simplify i into i
4.818 * [backup-simplify]: Simplify (* 0 i) into 0
4.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.819 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.819 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))) in alpha
4.819 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in alpha
4.819 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.819 * [backup-simplify]: Simplify 4.0 into 4.0
4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.819 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.819 * [taylor]: Taking taylor expansion of i in alpha
4.819 * [backup-simplify]: Simplify i into i
4.819 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.819 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow alpha 2))) in alpha
4.819 * [taylor]: Taking taylor expansion of 2 in alpha
4.819 * [backup-simplify]: Simplify 2 into 2
4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.819 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.819 * [taylor]: Taking taylor expansion of alpha in alpha
4.819 * [backup-simplify]: Simplify 0 into 0
4.819 * [backup-simplify]: Simplify 1 into 1
4.820 * [backup-simplify]: Simplify (* 1 1) into 1
4.820 * [backup-simplify]: Simplify (/ 1 1) into 1
4.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.821 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 (/ 1 i))) into 0
4.822 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow i 2))) into (/ 4.0 (pow i 2))
4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.825 * [backup-simplify]: Simplify (+ (/ 4.0 (pow i 2)) 0) into (* 4.0 (/ 1 (pow i 2)))
4.826 * [backup-simplify]: Simplify (+ 0 (* 4.0 (/ 1 (pow i 2)))) into (* 4.0 (/ 1 (pow i 2)))
4.826 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i
4.826 * [taylor]: Taking taylor expansion of 4.0 in i
4.826 * [backup-simplify]: Simplify 4.0 into 4.0
4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.826 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.826 * [taylor]: Taking taylor expansion of i in i
4.826 * [backup-simplify]: Simplify 0 into 0
4.826 * [backup-simplify]: Simplify 1 into 1
4.826 * [backup-simplify]: Simplify (* 1 1) into 1
4.827 * [backup-simplify]: Simplify (/ 1 1) into 1
4.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.832 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.832 * [backup-simplify]: Simplify 0 into 0
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.834 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.835 * [backup-simplify]: Simplify (+ 0 0) into 0
4.835 * [backup-simplify]: Simplify (- 0) into 0
4.835 * [taylor]: Taking taylor expansion of 0 in i
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * * * [progress]: simplifying candidates
4.842 * [simplify]: Simplifying:
  (* (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (exp 1.0))
  (log (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (* (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (* (* (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (+ (pow (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 3) (pow 1.0 3))
  (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (- (* 1.0 1.0) (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0))
  (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (+ (log (+ alpha beta)) (- (- (log (- beta alpha)) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ (log (+ alpha beta)) (- (log (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ (log (+ alpha beta)) (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (log (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (/ (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (/ (* (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ (pow alpha 3) (pow beta 3)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (* (- (* alpha alpha) (* beta beta)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (- alpha beta) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (* (sqrt (+ alpha beta)) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
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  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (- beta alpha) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ 1 (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (- (+ alpha beta) (* 2.0 i)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0)))
  (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ alpha beta) (* 2.0 i)))
  (- (log (- beta alpha)) (log (+ (+ alpha beta) (* 2.0 i))))
  (log (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (exp (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i))))
  (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (- (- beta alpha))
  (- (+ (+ alpha beta) (* 2.0 i)))
  (/ beta (+ (+ alpha beta) (* 2.0 i)))
  (/ alpha (+ (+ alpha beta) (* 2.0 i)))
  (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1)
  (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))
  (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (- beta alpha)) 1)
  (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))
  (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ 1 1)
  (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
  (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (sqrt beta) (sqrt alpha)) 1)
  (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i)))
  (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ 1 1)
  (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
  (/ 1 (+ (+ alpha beta) (* 2.0 i)))
  (/ (+ (+ alpha beta) (* 2.0 i)) (- beta alpha))
  (/ (- beta alpha) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (- beta alpha) 1)
  (/ (+ (+ alpha beta) (* 2.0 i)) (cbrt (- beta alpha)))
  (/ (+ (+ alpha beta) (* 2.0 i)) (sqrt (- beta alpha)))
  (/ (+ (+ alpha beta) (* 2.0 i)) (- beta alpha))
  (/ (+ (+ alpha beta) (* 2.0 i)) (- (sqrt beta) (sqrt alpha)))
  (/ (+ (+ alpha beta) (* 2.0 i)) (- beta alpha))
  (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3)))
  (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i))))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha))))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ beta alpha))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
  0
  0
  (- (+ (* 0.25 alpha) (* 0.125 (pow beta 2))) (* 0.25 beta))
  0
  0
  0
  0
  0
4.844 * [simplify]: Sending expressions to egg_math:
 (* (exp (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (exp h0))
 (log (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (exp (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (* (cbrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)) (cbrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)))
 (cbrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (* (* (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0) (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)) (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (sqrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (sqrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (+ (pow (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) 3) (pow h0 3))
 (+ (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (- (* h0 h0) (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)))
 (- (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (* h0 h0))
 (- (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)
 (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))
 (+ (log (+ h4 h3)) (- (- (log (- h3 h4)) (log (+ (+ h4 h3) (* h1 h2)))) (log (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (+ (log (+ h4 h3)) (- (log (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (log (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (+ (log (+ h4 h3)) (log (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (log (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (exp (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (+ h4 h3)) (+ h4 h3)) (/ (/ (* (* (- h3 h4) (- h3 h4)) (- h3 h4)) (* (* (+ (+ h4 h3) (* h1 h2)) (+ (+ h4 h3) (* h1 h2))) (+ (+ h4 h3) (* h1 h2)))) (* (* (+ (+ (+ h4 h3) (* h1 h2)) h1) (+ (+ (+ h4 h3) (* h1 h2)) h1)) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (+ h4 h3)) (+ h4 h3)) (/ (* (* (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (* (* (+ (+ (+ h4 h3) (* h1 h2)) h1) (+ (+ (+ h4 h3) (* h1 h2)) h1)) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (+ h4 h3)) (+ h4 h3)) (* (* (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (cbrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (cbrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (cbrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (sqrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (sqrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ (pow h4 3) (pow h3 3)) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))
 (* (+ (* h4 h4) (- (* h3 h3) (* h4 h3))) (+ (+ (+ h4 h3) (* h1 h2)) h1))
 (* (- (* h4 h4) (* h3 h3)) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))
 (* (- h4 h3) (+ (+ (+ h4 h3) (* h1 h2)) h1))
 (* (sqrt (+ h4 h3)) (sqrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (sqrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (/ (sqrt (- h3 h4)) (sqrt (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (/ (sqrt (- h3 h4)) (sqrt (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (* (cbrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (cbrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (sqrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) (* (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)) (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) 1))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) 1))
 (* (+ h4 h3) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (* (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)) (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) 1))
 (* (+ h4 h3) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) 1))
 (* (+ h4 h3) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt (+ (+ h4 h3) (* h1 h2))) (cbrt (+ (+ h4 h3) (* h1 h2))))) (* (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)) (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt (+ (+ h4 h3) (* h1 h2))) (cbrt (+ (+ h4 h3) (* h1 h2))))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
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 (/ (+ (+ h4 h3) (* h1 h2)) (- (sqrt h3) (sqrt h4)))
 (/ (+ (+ h4 h3) (* h1 h2)) (- h3 h4))
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 (/ (- h3 h4) (- (* (+ h4 h3) (+ h4 h3)) (* (* h1 h2) (* h1 h2))))
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 (* (+ (+ h4 h3) (* h1 h2)) (+ h3 h4))
 (- (+ h0 (* h5 (pow h4 2))) (* h5 (pow h3 2)))
 (- (+ (* h1 (/ 1 h4)) (* h7 (/ 1 (pow h4 3)))) (* h6 (/ 1 (pow h4 2))))
 (- (+ (* h1 (/ 1 h4)) (* h7 (/ 1 (pow h4 3)))) (* h6 (/ 1 (pow h4 2))))
 (- (* h5 (pow h4 2)) (+ (* h8 (pow h4 3)) (* h5 (pow h3 2))))
 0
 0
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 0
 0
 0
 0
 0
4.894 * * * [progress]: adding candidates to table
5.893 * * [progress]: iteration 3 / 4
5.894 * * * [progress]: picking best candidate
5.939 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))>
5.939 * * * [progress]: localizing error
5.979 * * * [progress]: generating rewritten candidates
5.979 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
6.502 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
6.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
7.276 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2)
7.629 * * * [progress]: generating series expansions
7.629 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.631 * [backup-simplify]: Simplify (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
7.631 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
7.631 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
7.631 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
7.631 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.631 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.631 * [taylor]: Taking taylor expansion of beta in i
7.631 * [backup-simplify]: Simplify beta into beta
7.632 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.632 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.632 * [taylor]: Taking taylor expansion of alpha in i
7.632 * [backup-simplify]: Simplify alpha into alpha
7.632 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.632 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.632 * [taylor]: Taking taylor expansion of 2.0 in i
7.632 * [backup-simplify]: Simplify 2.0 into 2.0
7.632 * [taylor]: Taking taylor expansion of i in i
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [taylor]: Taking taylor expansion of beta in i
7.632 * [backup-simplify]: Simplify beta into beta
7.632 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.632 * [taylor]: Taking taylor expansion of alpha in i
7.632 * [backup-simplify]: Simplify alpha into alpha
7.632 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.632 * [taylor]: Taking taylor expansion of 2.0 in i
7.632 * [backup-simplify]: Simplify 2.0 into 2.0
7.632 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.632 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.632 * [taylor]: Taking taylor expansion of 2.0 in i
7.632 * [backup-simplify]: Simplify 2.0 into 2.0
7.632 * [taylor]: Taking taylor expansion of i in i
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [taylor]: Taking taylor expansion of beta in i
7.632 * [backup-simplify]: Simplify beta into beta
7.632 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.633 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.633 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.633 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.633 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.633 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.633 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.633 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.634 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.634 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.634 * [taylor]: Taking taylor expansion of 1.0 in i
7.634 * [backup-simplify]: Simplify 1.0 into 1.0
7.634 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.634 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.634 * [taylor]: Taking taylor expansion of alpha in i
7.634 * [backup-simplify]: Simplify alpha into alpha
7.634 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.634 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.634 * [taylor]: Taking taylor expansion of alpha in i
7.634 * [backup-simplify]: Simplify alpha into alpha
7.634 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.634 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.634 * [taylor]: Taking taylor expansion of 2.0 in i
7.634 * [backup-simplify]: Simplify 2.0 into 2.0
7.634 * [taylor]: Taking taylor expansion of i in i
7.634 * [backup-simplify]: Simplify 0 into 0
7.634 * [backup-simplify]: Simplify 1 into 1
7.634 * [taylor]: Taking taylor expansion of beta in i
7.634 * [backup-simplify]: Simplify beta into beta
7.634 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.634 * [taylor]: Taking taylor expansion of alpha in i
7.634 * [backup-simplify]: Simplify alpha into alpha
7.634 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.634 * [taylor]: Taking taylor expansion of 2.0 in i
7.634 * [backup-simplify]: Simplify 2.0 into 2.0
7.634 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.634 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.634 * [taylor]: Taking taylor expansion of 2.0 in i
7.634 * [backup-simplify]: Simplify 2.0 into 2.0
7.634 * [taylor]: Taking taylor expansion of i in i
7.634 * [backup-simplify]: Simplify 0 into 0
7.634 * [backup-simplify]: Simplify 1 into 1
7.634 * [taylor]: Taking taylor expansion of beta in i
7.634 * [backup-simplify]: Simplify beta into beta
7.634 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.635 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.635 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.635 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.635 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.635 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.635 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.635 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.635 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.636 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.636 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
7.636 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
7.636 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.636 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.636 * [taylor]: Taking taylor expansion of beta in beta
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify 1 into 1
7.636 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.636 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.636 * [taylor]: Taking taylor expansion of alpha in beta
7.636 * [backup-simplify]: Simplify alpha into alpha
7.636 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.636 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.636 * [taylor]: Taking taylor expansion of 2.0 in beta
7.636 * [backup-simplify]: Simplify 2.0 into 2.0
7.636 * [taylor]: Taking taylor expansion of i in beta
7.636 * [backup-simplify]: Simplify i into i
7.636 * [taylor]: Taking taylor expansion of beta in beta
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify 1 into 1
7.636 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.636 * [taylor]: Taking taylor expansion of alpha in beta
7.636 * [backup-simplify]: Simplify alpha into alpha
7.636 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.636 * [taylor]: Taking taylor expansion of 2.0 in beta
7.636 * [backup-simplify]: Simplify 2.0 into 2.0
7.636 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.636 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.636 * [taylor]: Taking taylor expansion of 2.0 in beta
7.636 * [backup-simplify]: Simplify 2.0 into 2.0
7.636 * [taylor]: Taking taylor expansion of i in beta
7.636 * [backup-simplify]: Simplify i into i
7.636 * [taylor]: Taking taylor expansion of beta in beta
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify 1 into 1
7.637 * [backup-simplify]: Simplify (* 1 1) into 1
7.637 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.637 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.637 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.637 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.637 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.637 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.637 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.637 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.637 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
7.637 * [taylor]: Taking taylor expansion of 1.0 in beta
7.637 * [backup-simplify]: Simplify 1.0 into 1.0
7.637 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.637 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.637 * [taylor]: Taking taylor expansion of alpha in beta
7.637 * [backup-simplify]: Simplify alpha into alpha
7.637 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.637 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.637 * [taylor]: Taking taylor expansion of alpha in beta
7.637 * [backup-simplify]: Simplify alpha into alpha
7.637 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.637 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.637 * [taylor]: Taking taylor expansion of 2.0 in beta
7.638 * [backup-simplify]: Simplify 2.0 into 2.0
7.638 * [taylor]: Taking taylor expansion of i in beta
7.638 * [backup-simplify]: Simplify i into i
7.638 * [taylor]: Taking taylor expansion of beta in beta
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.638 * [taylor]: Taking taylor expansion of alpha in beta
7.638 * [backup-simplify]: Simplify alpha into alpha
7.638 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.638 * [taylor]: Taking taylor expansion of 2.0 in beta
7.638 * [backup-simplify]: Simplify 2.0 into 2.0
7.638 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.638 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.638 * [taylor]: Taking taylor expansion of 2.0 in beta
7.638 * [backup-simplify]: Simplify 2.0 into 2.0
7.638 * [taylor]: Taking taylor expansion of i in beta
7.638 * [backup-simplify]: Simplify i into i
7.638 * [taylor]: Taking taylor expansion of beta in beta
7.638 * [backup-simplify]: Simplify 0 into 0
7.638 * [backup-simplify]: Simplify 1 into 1
7.638 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.638 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.638 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.638 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.638 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.638 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.638 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.638 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.638 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.639 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
7.639 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
7.639 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
7.639 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.639 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.639 * [taylor]: Taking taylor expansion of beta in alpha
7.639 * [backup-simplify]: Simplify beta into beta
7.639 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.639 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.639 * [taylor]: Taking taylor expansion of alpha in alpha
7.639 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.639 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.639 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.639 * [backup-simplify]: Simplify 2.0 into 2.0
7.639 * [taylor]: Taking taylor expansion of i in alpha
7.639 * [backup-simplify]: Simplify i into i
7.639 * [taylor]: Taking taylor expansion of beta in alpha
7.639 * [backup-simplify]: Simplify beta into beta
7.639 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.639 * [taylor]: Taking taylor expansion of alpha in alpha
7.639 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.639 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.639 * [backup-simplify]: Simplify 2.0 into 2.0
7.639 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.639 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.639 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.639 * [backup-simplify]: Simplify 2.0 into 2.0
7.639 * [taylor]: Taking taylor expansion of i in alpha
7.639 * [backup-simplify]: Simplify i into i
7.639 * [taylor]: Taking taylor expansion of beta in alpha
7.639 * [backup-simplify]: Simplify beta into beta
7.639 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.639 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.639 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.639 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.639 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.639 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.639 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.640 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.640 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.640 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.640 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.640 * [backup-simplify]: Simplify 1.0 into 1.0
7.640 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.640 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.640 * [taylor]: Taking taylor expansion of alpha in alpha
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify 1 into 1
7.640 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.640 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.640 * [taylor]: Taking taylor expansion of alpha in alpha
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify 1 into 1
7.640 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.640 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.640 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.640 * [backup-simplify]: Simplify 2.0 into 2.0
7.640 * [taylor]: Taking taylor expansion of i in alpha
7.640 * [backup-simplify]: Simplify i into i
7.640 * [taylor]: Taking taylor expansion of beta in alpha
7.640 * [backup-simplify]: Simplify beta into beta
7.640 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.640 * [taylor]: Taking taylor expansion of alpha in alpha
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [backup-simplify]: Simplify 1 into 1
7.640 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.640 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.640 * [backup-simplify]: Simplify 2.0 into 2.0
7.640 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.640 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.640 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.640 * [backup-simplify]: Simplify 2.0 into 2.0
7.640 * [taylor]: Taking taylor expansion of i in alpha
7.640 * [backup-simplify]: Simplify i into i
7.640 * [taylor]: Taking taylor expansion of beta in alpha
7.640 * [backup-simplify]: Simplify beta into beta
7.641 * [backup-simplify]: Simplify (* 1 1) into 1
7.641 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.641 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.641 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.641 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.641 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.641 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.641 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.641 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.641 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.641 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
7.641 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
7.641 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.641 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.642 * [taylor]: Taking taylor expansion of beta in alpha
7.642 * [backup-simplify]: Simplify beta into beta
7.642 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.642 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.642 * [taylor]: Taking taylor expansion of alpha in alpha
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 1 into 1
7.642 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.642 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.642 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.642 * [backup-simplify]: Simplify 2.0 into 2.0
7.642 * [taylor]: Taking taylor expansion of i in alpha
7.642 * [backup-simplify]: Simplify i into i
7.642 * [taylor]: Taking taylor expansion of beta in alpha
7.642 * [backup-simplify]: Simplify beta into beta
7.642 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.642 * [taylor]: Taking taylor expansion of alpha in alpha
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 1 into 1
7.642 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.642 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.642 * [backup-simplify]: Simplify 2.0 into 2.0
7.642 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.642 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.642 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.642 * [backup-simplify]: Simplify 2.0 into 2.0
7.642 * [taylor]: Taking taylor expansion of i in alpha
7.642 * [backup-simplify]: Simplify i into i
7.642 * [taylor]: Taking taylor expansion of beta in alpha
7.642 * [backup-simplify]: Simplify beta into beta
7.642 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.642 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.642 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.642 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.642 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.642 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.642 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.642 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.643 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.643 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.643 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.643 * [backup-simplify]: Simplify 1.0 into 1.0
7.643 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.643 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.643 * [taylor]: Taking taylor expansion of alpha in alpha
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 1 into 1
7.643 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.643 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.643 * [taylor]: Taking taylor expansion of alpha in alpha
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 1 into 1
7.643 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.643 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.643 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.643 * [backup-simplify]: Simplify 2.0 into 2.0
7.643 * [taylor]: Taking taylor expansion of i in alpha
7.643 * [backup-simplify]: Simplify i into i
7.643 * [taylor]: Taking taylor expansion of beta in alpha
7.643 * [backup-simplify]: Simplify beta into beta
7.643 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.643 * [taylor]: Taking taylor expansion of alpha in alpha
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 1 into 1
7.643 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.643 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.643 * [backup-simplify]: Simplify 2.0 into 2.0
7.643 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.643 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.643 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.643 * [backup-simplify]: Simplify 2.0 into 2.0
7.643 * [taylor]: Taking taylor expansion of i in alpha
7.643 * [backup-simplify]: Simplify i into i
7.643 * [taylor]: Taking taylor expansion of beta in alpha
7.643 * [backup-simplify]: Simplify beta into beta
7.644 * [backup-simplify]: Simplify (* 1 1) into 1
7.644 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.644 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.644 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.644 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.644 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.644 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.644 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.644 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.644 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.645 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
7.645 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
7.645 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
7.645 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.645 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.645 * [taylor]: Taking taylor expansion of beta in beta
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 1 into 1
7.645 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.645 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.645 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.645 * [taylor]: Taking taylor expansion of 2.0 in beta
7.645 * [backup-simplify]: Simplify 2.0 into 2.0
7.645 * [taylor]: Taking taylor expansion of i in beta
7.645 * [backup-simplify]: Simplify i into i
7.645 * [taylor]: Taking taylor expansion of beta in beta
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 1 into 1
7.645 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.645 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.645 * [taylor]: Taking taylor expansion of 2.0 in beta
7.645 * [backup-simplify]: Simplify 2.0 into 2.0
7.645 * [taylor]: Taking taylor expansion of i in beta
7.645 * [backup-simplify]: Simplify i into i
7.645 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.645 * [taylor]: Taking taylor expansion of beta in beta
7.645 * [backup-simplify]: Simplify 0 into 0
7.645 * [backup-simplify]: Simplify 1 into 1
7.645 * [taylor]: Taking taylor expansion of 2.0 in beta
7.645 * [backup-simplify]: Simplify 2.0 into 2.0
7.646 * [backup-simplify]: Simplify (* 1 1) into 1
7.646 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.646 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.646 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.646 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.646 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.646 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.646 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.646 * [taylor]: Taking taylor expansion of 1.0 in beta
7.646 * [backup-simplify]: Simplify 1.0 into 1.0
7.647 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.647 * [taylor]: Taking taylor expansion of 1.0 in i
7.647 * [backup-simplify]: Simplify 1.0 into 1.0
7.647 * [backup-simplify]: Simplify 1.0 into 1.0
7.647 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.647 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.647 * [backup-simplify]: Simplify (+ 0 0) into 0
7.647 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (+ 1 0) into 1
7.648 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.648 * [backup-simplify]: Simplify (+ 0 0) into 0
7.649 * [backup-simplify]: Simplify (+ 1 0) into 1
7.649 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
7.650 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
7.651 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
7.653 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
7.653 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
7.653 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
7.653 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.653 * [taylor]: Taking taylor expansion of 4.0 in beta
7.653 * [backup-simplify]: Simplify 4.0 into 4.0
7.653 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.653 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.653 * [taylor]: Taking taylor expansion of i in beta
7.653 * [backup-simplify]: Simplify i into i
7.653 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.653 * [taylor]: Taking taylor expansion of beta in beta
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 1 into 1
7.653 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.653 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.653 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.653 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.653 * [taylor]: Taking taylor expansion of 2.0 in beta
7.653 * [backup-simplify]: Simplify 2.0 into 2.0
7.654 * [taylor]: Taking taylor expansion of i in beta
7.654 * [backup-simplify]: Simplify i into i
7.654 * [taylor]: Taking taylor expansion of beta in beta
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify 1 into 1
7.654 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.654 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.654 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.654 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.654 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.654 * [taylor]: Taking taylor expansion of 2.0 in beta
7.654 * [backup-simplify]: Simplify 2.0 into 2.0
7.654 * [taylor]: Taking taylor expansion of i in beta
7.654 * [backup-simplify]: Simplify i into i
7.654 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.654 * [taylor]: Taking taylor expansion of beta in beta
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify 1 into 1
7.654 * [taylor]: Taking taylor expansion of 2.0 in beta
7.654 * [backup-simplify]: Simplify 2.0 into 2.0
7.654 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.654 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.654 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.655 * [backup-simplify]: Simplify (* 1 1) into 1
7.655 * [backup-simplify]: Simplify (* i 1) into i
7.655 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.655 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.655 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.655 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
7.655 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
7.655 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.655 * [taylor]: Taking taylor expansion of 2 in beta
7.655 * [backup-simplify]: Simplify 2 into 2
7.655 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.655 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.655 * [taylor]: Taking taylor expansion of beta in beta
7.655 * [backup-simplify]: Simplify 0 into 0
7.655 * [backup-simplify]: Simplify 1 into 1
7.655 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.656 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.656 * [taylor]: Taking taylor expansion of 2.0 in beta
7.656 * [backup-simplify]: Simplify 2.0 into 2.0
7.656 * [taylor]: Taking taylor expansion of i in beta
7.656 * [backup-simplify]: Simplify i into i
7.656 * [taylor]: Taking taylor expansion of beta in beta
7.656 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify 1 into 1
7.656 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.656 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.656 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.656 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.656 * [taylor]: Taking taylor expansion of 2.0 in beta
7.656 * [backup-simplify]: Simplify 2.0 into 2.0
7.656 * [taylor]: Taking taylor expansion of i in beta
7.656 * [backup-simplify]: Simplify i into i
7.656 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.656 * [taylor]: Taking taylor expansion of beta in beta
7.656 * [backup-simplify]: Simplify 0 into 0
7.656 * [backup-simplify]: Simplify 1 into 1
7.656 * [taylor]: Taking taylor expansion of 2.0 in beta
7.656 * [backup-simplify]: Simplify 2.0 into 2.0
7.656 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.656 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.657 * [backup-simplify]: Simplify (* 1 1) into 1
7.657 * [backup-simplify]: Simplify (* 1 1) into 1
7.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.657 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.657 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.657 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.657 * [taylor]: Taking taylor expansion of 2.0 in beta
7.657 * [backup-simplify]: Simplify 2.0 into 2.0
7.657 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.658 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.658 * [taylor]: Taking taylor expansion of beta in beta
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 1 into 1
7.658 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.658 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.658 * [taylor]: Taking taylor expansion of 2.0 in beta
7.658 * [backup-simplify]: Simplify 2.0 into 2.0
7.658 * [taylor]: Taking taylor expansion of i in beta
7.658 * [backup-simplify]: Simplify i into i
7.658 * [taylor]: Taking taylor expansion of beta in beta
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 1 into 1
7.658 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.658 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.658 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.658 * [taylor]: Taking taylor expansion of 2.0 in beta
7.658 * [backup-simplify]: Simplify 2.0 into 2.0
7.658 * [taylor]: Taking taylor expansion of i in beta
7.658 * [backup-simplify]: Simplify i into i
7.658 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.658 * [taylor]: Taking taylor expansion of beta in beta
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 1 into 1
7.658 * [taylor]: Taking taylor expansion of 2.0 in beta
7.658 * [backup-simplify]: Simplify 2.0 into 2.0
7.658 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.658 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.658 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.659 * [backup-simplify]: Simplify (* 1 1) into 1
7.659 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.659 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.659 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.659 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.660 * [backup-simplify]: Simplify (+ 0 0) into 0
7.660 * [taylor]: Taking taylor expansion of 0 in i
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
7.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.661 * [backup-simplify]: Simplify (+ 0 0) into 0
7.661 * [backup-simplify]: Simplify (+ 0 0) into 0
7.661 * [backup-simplify]: Simplify (+ 0 0) into 0
7.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.662 * [backup-simplify]: Simplify (+ 0 0) into 0
7.662 * [backup-simplify]: Simplify (+ 0 0) into 0
7.663 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
7.666 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
7.674 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
7.674 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
7.684 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
7.684 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
7.684 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
7.684 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.684 * [taylor]: Taking taylor expansion of 16.0 in beta
7.684 * [backup-simplify]: Simplify 16.0 into 16.0
7.684 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.684 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
7.684 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.684 * [taylor]: Taking taylor expansion of i in beta
7.685 * [backup-simplify]: Simplify i into i
7.685 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.685 * [taylor]: Taking taylor expansion of beta in beta
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.685 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.685 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.685 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.685 * [taylor]: Taking taylor expansion of 2.0 in beta
7.685 * [backup-simplify]: Simplify 2.0 into 2.0
7.685 * [taylor]: Taking taylor expansion of i in beta
7.685 * [backup-simplify]: Simplify i into i
7.685 * [taylor]: Taking taylor expansion of beta in beta
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.685 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.685 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.685 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.685 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.685 * [taylor]: Taking taylor expansion of 2.0 in beta
7.685 * [backup-simplify]: Simplify 2.0 into 2.0
7.685 * [taylor]: Taking taylor expansion of i in beta
7.685 * [backup-simplify]: Simplify i into i
7.685 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.685 * [taylor]: Taking taylor expansion of beta in beta
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.685 * [taylor]: Taking taylor expansion of 2.0 in beta
7.686 * [backup-simplify]: Simplify 2.0 into 2.0
7.686 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.686 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.686 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.686 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.687 * [backup-simplify]: Simplify (* 1 1) into 1
7.687 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
7.687 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.687 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.688 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.688 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.688 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.689 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
7.689 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
7.689 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.689 * [taylor]: Taking taylor expansion of 4 in beta
7.689 * [backup-simplify]: Simplify 4 into 4
7.689 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.689 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
7.689 * [taylor]: Taking taylor expansion of beta in beta
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.689 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.689 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.689 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.689 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.689 * [taylor]: Taking taylor expansion of 2.0 in beta
7.689 * [backup-simplify]: Simplify 2.0 into 2.0
7.689 * [taylor]: Taking taylor expansion of i in beta
7.689 * [backup-simplify]: Simplify i into i
7.689 * [taylor]: Taking taylor expansion of beta in beta
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 1 into 1
7.689 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.689 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.690 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.690 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.690 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.690 * [taylor]: Taking taylor expansion of 2.0 in beta
7.690 * [backup-simplify]: Simplify 2.0 into 2.0
7.690 * [taylor]: Taking taylor expansion of i in beta
7.690 * [backup-simplify]: Simplify i into i
7.690 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.690 * [taylor]: Taking taylor expansion of beta in beta
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify 1 into 1
7.690 * [taylor]: Taking taylor expansion of 2.0 in beta
7.690 * [backup-simplify]: Simplify 2.0 into 2.0
7.690 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.691 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.691 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.691 * [backup-simplify]: Simplify (* 1 1) into 1
7.692 * [backup-simplify]: Simplify (* 1 1) into 1
7.692 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.692 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.692 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.692 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.693 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.693 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.693 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
7.693 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.693 * [taylor]: Taking taylor expansion of 8.0 in beta
7.693 * [backup-simplify]: Simplify 8.0 into 8.0
7.693 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.693 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.693 * [taylor]: Taking taylor expansion of beta in beta
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 1 into 1
7.693 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.693 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.693 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.693 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.693 * [taylor]: Taking taylor expansion of 2.0 in beta
7.693 * [backup-simplify]: Simplify 2.0 into 2.0
7.693 * [taylor]: Taking taylor expansion of i in beta
7.693 * [backup-simplify]: Simplify i into i
7.693 * [taylor]: Taking taylor expansion of beta in beta
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 1 into 1
7.693 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.693 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.693 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.693 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.693 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.693 * [taylor]: Taking taylor expansion of 2.0 in beta
7.693 * [backup-simplify]: Simplify 2.0 into 2.0
7.693 * [taylor]: Taking taylor expansion of i in beta
7.693 * [backup-simplify]: Simplify i into i
7.693 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.693 * [taylor]: Taking taylor expansion of beta in beta
7.693 * [backup-simplify]: Simplify 0 into 0
7.693 * [backup-simplify]: Simplify 1 into 1
7.693 * [taylor]: Taking taylor expansion of 2.0 in beta
7.694 * [backup-simplify]: Simplify 2.0 into 2.0
7.694 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.694 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.694 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.694 * [backup-simplify]: Simplify (* 1 1) into 1
7.694 * [backup-simplify]: Simplify (* 1 1) into 1
7.695 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.695 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.695 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.695 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.695 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.695 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.695 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
7.695 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.695 * [taylor]: Taking taylor expansion of 16.0 in beta
7.695 * [backup-simplify]: Simplify 16.0 into 16.0
7.695 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.695 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
7.695 * [taylor]: Taking taylor expansion of i in beta
7.695 * [backup-simplify]: Simplify i into i
7.696 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.696 * [taylor]: Taking taylor expansion of beta in beta
7.696 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify 1 into 1
7.696 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.696 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.696 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.696 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.696 * [taylor]: Taking taylor expansion of 2.0 in beta
7.696 * [backup-simplify]: Simplify 2.0 into 2.0
7.696 * [taylor]: Taking taylor expansion of i in beta
7.696 * [backup-simplify]: Simplify i into i
7.696 * [taylor]: Taking taylor expansion of beta in beta
7.696 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify 1 into 1
7.696 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.696 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.696 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.696 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.696 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.696 * [taylor]: Taking taylor expansion of 2.0 in beta
7.696 * [backup-simplify]: Simplify 2.0 into 2.0
7.696 * [taylor]: Taking taylor expansion of i in beta
7.696 * [backup-simplify]: Simplify i into i
7.696 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.696 * [taylor]: Taking taylor expansion of beta in beta
7.696 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify 1 into 1
7.696 * [taylor]: Taking taylor expansion of 2.0 in beta
7.696 * [backup-simplify]: Simplify 2.0 into 2.0
7.696 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.696 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.696 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.697 * [backup-simplify]: Simplify (* 1 1) into 1
7.697 * [backup-simplify]: Simplify (* 1 1) into 1
7.697 * [backup-simplify]: Simplify (* i 1) into i
7.697 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.697 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.697 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.697 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.698 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.698 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
7.698 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
7.698 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.698 * [taylor]: Taking taylor expansion of 16.0 in beta
7.698 * [backup-simplify]: Simplify 16.0 into 16.0
7.698 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.698 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.698 * [taylor]: Taking taylor expansion of i in beta
7.698 * [backup-simplify]: Simplify i into i
7.698 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.698 * [taylor]: Taking taylor expansion of beta in beta
7.698 * [backup-simplify]: Simplify 0 into 0
7.698 * [backup-simplify]: Simplify 1 into 1
7.698 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.698 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.698 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.698 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.698 * [taylor]: Taking taylor expansion of 2.0 in beta
7.698 * [backup-simplify]: Simplify 2.0 into 2.0
7.698 * [taylor]: Taking taylor expansion of i in beta
7.698 * [backup-simplify]: Simplify i into i
7.698 * [taylor]: Taking taylor expansion of beta in beta
7.698 * [backup-simplify]: Simplify 0 into 0
7.698 * [backup-simplify]: Simplify 1 into 1
7.698 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.698 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.698 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.698 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.699 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.699 * [taylor]: Taking taylor expansion of 2.0 in beta
7.699 * [backup-simplify]: Simplify 2.0 into 2.0
7.699 * [taylor]: Taking taylor expansion of i in beta
7.699 * [backup-simplify]: Simplify i into i
7.699 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.699 * [taylor]: Taking taylor expansion of beta in beta
7.699 * [backup-simplify]: Simplify 0 into 0
7.699 * [backup-simplify]: Simplify 1 into 1
7.699 * [taylor]: Taking taylor expansion of 2.0 in beta
7.699 * [backup-simplify]: Simplify 2.0 into 2.0
7.699 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.699 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.699 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.699 * [backup-simplify]: Simplify (* 1 1) into 1
7.699 * [backup-simplify]: Simplify (* i 1) into i
7.699 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.700 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.700 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.700 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.700 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.700 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
7.700 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.700 * [taylor]: Taking taylor expansion of 4.0 in beta
7.700 * [backup-simplify]: Simplify 4.0 into 4.0
7.700 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.700 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.700 * [taylor]: Taking taylor expansion of beta in beta
7.700 * [backup-simplify]: Simplify 0 into 0
7.700 * [backup-simplify]: Simplify 1 into 1
7.700 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.700 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.701 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.701 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.701 * [taylor]: Taking taylor expansion of 2.0 in beta
7.701 * [backup-simplify]: Simplify 2.0 into 2.0
7.701 * [taylor]: Taking taylor expansion of i in beta
7.701 * [backup-simplify]: Simplify i into i
7.701 * [taylor]: Taking taylor expansion of beta in beta
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.701 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.701 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.701 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.701 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.701 * [taylor]: Taking taylor expansion of 2.0 in beta
7.701 * [backup-simplify]: Simplify 2.0 into 2.0
7.701 * [taylor]: Taking taylor expansion of i in beta
7.701 * [backup-simplify]: Simplify i into i
7.701 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.701 * [taylor]: Taking taylor expansion of beta in beta
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [taylor]: Taking taylor expansion of 2.0 in beta
7.701 * [backup-simplify]: Simplify 2.0 into 2.0
7.701 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.701 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.701 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.702 * [backup-simplify]: Simplify (* 1 1) into 1
7.702 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.702 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.702 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.702 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.702 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.702 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.703 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.703 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.703 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.703 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.703 * [taylor]: Taking taylor expansion of 2.0 in beta
7.703 * [backup-simplify]: Simplify 2.0 into 2.0
7.703 * [taylor]: Taking taylor expansion of i in beta
7.703 * [backup-simplify]: Simplify i into i
7.703 * [taylor]: Taking taylor expansion of beta in beta
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 1 into 1
7.703 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.703 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.703 * [taylor]: Taking taylor expansion of 2.0 in beta
7.703 * [backup-simplify]: Simplify 2.0 into 2.0
7.703 * [taylor]: Taking taylor expansion of i in beta
7.703 * [backup-simplify]: Simplify i into i
7.703 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.703 * [taylor]: Taking taylor expansion of beta in beta
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 1 into 1
7.703 * [taylor]: Taking taylor expansion of 2.0 in beta
7.703 * [backup-simplify]: Simplify 2.0 into 2.0
7.703 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.703 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.703 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.703 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.703 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.704 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.704 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.704 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.704 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.704 * [taylor]: Taking taylor expansion of beta in beta
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.704 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.704 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.704 * [taylor]: Taking taylor expansion of 2.0 in beta
7.704 * [backup-simplify]: Simplify 2.0 into 2.0
7.704 * [taylor]: Taking taylor expansion of i in beta
7.704 * [backup-simplify]: Simplify i into i
7.704 * [taylor]: Taking taylor expansion of beta in beta
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.704 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.704 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.704 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.704 * [taylor]: Taking taylor expansion of 2.0 in beta
7.704 * [backup-simplify]: Simplify 2.0 into 2.0
7.704 * [taylor]: Taking taylor expansion of i in beta
7.704 * [backup-simplify]: Simplify i into i
7.704 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.704 * [taylor]: Taking taylor expansion of beta in beta
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [taylor]: Taking taylor expansion of 2.0 in beta
7.704 * [backup-simplify]: Simplify 2.0 into 2.0
7.704 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.710 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.710 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.711 * [backup-simplify]: Simplify (* 1 1) into 1
7.711 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.711 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.711 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.711 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.712 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.712 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.712 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.712 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
7.712 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.712 * [taylor]: Taking taylor expansion of 0.5 in i
7.712 * [backup-simplify]: Simplify 0.5 into 0.5
7.712 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.712 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.712 * [taylor]: Taking taylor expansion of i in i
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [backup-simplify]: Simplify 1 into 1
7.712 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.712 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.712 * [taylor]: Taking taylor expansion of 2.0 in i
7.712 * [backup-simplify]: Simplify 2.0 into 2.0
7.712 * [taylor]: Taking taylor expansion of i in i
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [backup-simplify]: Simplify 1 into 1
7.712 * [taylor]: Taking taylor expansion of 2.0 in i
7.712 * [backup-simplify]: Simplify 2.0 into 2.0
7.712 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.713 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.713 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.714 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.714 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.715 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.715 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.716 * [backup-simplify]: Simplify (+ 0 0) into 0
7.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.719 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.721 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.722 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
7.722 * [backup-simplify]: Simplify 0.25 into 0.25
7.722 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.722 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.722 * [taylor]: Taking taylor expansion of 0.5 in i
7.722 * [backup-simplify]: Simplify 0.5 into 0.5
7.722 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.723 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.723 * [taylor]: Taking taylor expansion of i in i
7.723 * [backup-simplify]: Simplify 0 into 0
7.723 * [backup-simplify]: Simplify 1 into 1
7.723 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.723 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.723 * [taylor]: Taking taylor expansion of 2.0 in i
7.723 * [backup-simplify]: Simplify 2.0 into 2.0
7.723 * [taylor]: Taking taylor expansion of i in i
7.723 * [backup-simplify]: Simplify 0 into 0
7.723 * [backup-simplify]: Simplify 1 into 1
7.723 * [taylor]: Taking taylor expansion of 2.0 in i
7.723 * [backup-simplify]: Simplify 2.0 into 2.0
7.723 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.724 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.724 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.726 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.726 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.727 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.728 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.729 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.729 * [backup-simplify]: Simplify (+ 0 0) into 0
7.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.735 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.736 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.737 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
7.737 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
7.738 * [backup-simplify]: Simplify (log (exp (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) 1.0))) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
7.738 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
7.738 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
7.738 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
7.738 * [taylor]: Taking taylor expansion of 1.0 in i
7.738 * [backup-simplify]: Simplify 1.0 into 1.0
7.738 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
7.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
7.738 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.738 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.738 * [taylor]: Taking taylor expansion of alpha in i
7.738 * [backup-simplify]: Simplify alpha into alpha
7.738 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.738 * [taylor]: Taking taylor expansion of 2.0 in i
7.738 * [backup-simplify]: Simplify 2.0 into 2.0
7.738 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.738 * [taylor]: Taking taylor expansion of i in i
7.738 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.739 * [backup-simplify]: Simplify (/ 1 1) into 1
7.739 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.739 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.739 * [taylor]: Taking taylor expansion of beta in i
7.739 * [backup-simplify]: Simplify beta into beta
7.739 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.739 * [taylor]: Taking taylor expansion of 2.0 in i
7.739 * [backup-simplify]: Simplify 2.0 into 2.0
7.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
7.739 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.739 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.739 * [taylor]: Taking taylor expansion of alpha in i
7.739 * [backup-simplify]: Simplify alpha into alpha
7.739 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.739 * [taylor]: Taking taylor expansion of 2.0 in i
7.739 * [backup-simplify]: Simplify 2.0 into 2.0
7.739 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.739 * [taylor]: Taking taylor expansion of i in i
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.739 * [backup-simplify]: Simplify (/ 1 1) into 1
7.739 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.740 * [taylor]: Taking taylor expansion of beta in i
7.740 * [backup-simplify]: Simplify beta into beta
7.740 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.740 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.740 * [taylor]: Taking taylor expansion of beta in i
7.740 * [backup-simplify]: Simplify beta into beta
7.740 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.740 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.741 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.741 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.741 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.741 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.741 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.742 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
7.742 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
7.742 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
7.742 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
7.742 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
7.742 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.742 * [taylor]: Taking taylor expansion of alpha in i
7.742 * [backup-simplify]: Simplify alpha into alpha
7.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
7.742 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.742 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.742 * [taylor]: Taking taylor expansion of alpha in i
7.742 * [backup-simplify]: Simplify alpha into alpha
7.742 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.742 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.742 * [taylor]: Taking taylor expansion of 2.0 in i
7.742 * [backup-simplify]: Simplify 2.0 into 2.0
7.742 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.742 * [taylor]: Taking taylor expansion of i in i
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 1 into 1
7.742 * [backup-simplify]: Simplify (/ 1 1) into 1
7.742 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.742 * [taylor]: Taking taylor expansion of beta in i
7.742 * [backup-simplify]: Simplify beta into beta
7.742 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.742 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.742 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.743 * [taylor]: Taking taylor expansion of alpha in i
7.743 * [backup-simplify]: Simplify alpha into alpha
7.743 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.743 * [taylor]: Taking taylor expansion of 2.0 in i
7.743 * [backup-simplify]: Simplify 2.0 into 2.0
7.743 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.743 * [taylor]: Taking taylor expansion of i in i
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (/ 1 1) into 1
7.743 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.743 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.743 * [taylor]: Taking taylor expansion of beta in i
7.743 * [backup-simplify]: Simplify beta into beta
7.743 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.743 * [taylor]: Taking taylor expansion of 2.0 in i
7.743 * [backup-simplify]: Simplify 2.0 into 2.0
7.743 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.744 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.744 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.744 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.745 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.745 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.746 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.746 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.746 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
7.747 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
7.747 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
7.747 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
7.747 * [taylor]: Taking taylor expansion of 1.0 in beta
7.747 * [backup-simplify]: Simplify 1.0 into 1.0
7.747 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
7.747 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
7.747 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.747 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.747 * [taylor]: Taking taylor expansion of alpha in beta
7.747 * [backup-simplify]: Simplify alpha into alpha
7.747 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.747 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.747 * [taylor]: Taking taylor expansion of 2.0 in beta
7.747 * [backup-simplify]: Simplify 2.0 into 2.0
7.747 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.747 * [taylor]: Taking taylor expansion of i in beta
7.747 * [backup-simplify]: Simplify i into i
7.747 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.747 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.747 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.747 * [taylor]: Taking taylor expansion of beta in beta
7.747 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify (/ 1 1) into 1
7.748 * [taylor]: Taking taylor expansion of 2.0 in beta
7.748 * [backup-simplify]: Simplify 2.0 into 2.0
7.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
7.748 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.748 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.748 * [taylor]: Taking taylor expansion of alpha in beta
7.748 * [backup-simplify]: Simplify alpha into alpha
7.748 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.748 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.748 * [taylor]: Taking taylor expansion of 2.0 in beta
7.748 * [backup-simplify]: Simplify 2.0 into 2.0
7.748 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.748 * [taylor]: Taking taylor expansion of i in beta
7.748 * [backup-simplify]: Simplify i into i
7.748 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.748 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.748 * [taylor]: Taking taylor expansion of beta in beta
7.748 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (/ 1 1) into 1
7.749 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.749 * [taylor]: Taking taylor expansion of beta in beta
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (+ 1 0) into 1
7.750 * [backup-simplify]: Simplify (+ 0 1) into 1
7.750 * [backup-simplify]: Simplify (+ 0 1) into 1
7.751 * [backup-simplify]: Simplify (+ 0 1) into 1
7.751 * [backup-simplify]: Simplify (+ 0 1) into 1
7.751 * [backup-simplify]: Simplify (* 1 1) into 1
7.752 * [backup-simplify]: Simplify (* 1 1) into 1
7.752 * [backup-simplify]: Simplify (* 1 1) into 1
7.753 * [backup-simplify]: Simplify (/ 1 1) into 1
7.753 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
7.753 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
7.753 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.753 * [taylor]: Taking taylor expansion of alpha in beta
7.753 * [backup-simplify]: Simplify alpha into alpha
7.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
7.753 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.753 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.753 * [taylor]: Taking taylor expansion of alpha in beta
7.753 * [backup-simplify]: Simplify alpha into alpha
7.753 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.753 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.753 * [taylor]: Taking taylor expansion of 2.0 in beta
7.753 * [backup-simplify]: Simplify 2.0 into 2.0
7.753 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.753 * [taylor]: Taking taylor expansion of i in beta
7.753 * [backup-simplify]: Simplify i into i
7.753 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.753 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.753 * [taylor]: Taking taylor expansion of beta in beta
7.753 * [backup-simplify]: Simplify 0 into 0
7.753 * [backup-simplify]: Simplify 1 into 1
7.754 * [backup-simplify]: Simplify (/ 1 1) into 1
7.754 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.754 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.754 * [taylor]: Taking taylor expansion of alpha in beta
7.754 * [backup-simplify]: Simplify alpha into alpha
7.754 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.754 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.754 * [taylor]: Taking taylor expansion of 2.0 in beta
7.754 * [backup-simplify]: Simplify 2.0 into 2.0
7.754 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.754 * [taylor]: Taking taylor expansion of i in beta
7.754 * [backup-simplify]: Simplify i into i
7.754 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.754 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.754 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.754 * [taylor]: Taking taylor expansion of beta in beta
7.754 * [backup-simplify]: Simplify 0 into 0
7.754 * [backup-simplify]: Simplify 1 into 1
7.755 * [backup-simplify]: Simplify (/ 1 1) into 1
7.755 * [taylor]: Taking taylor expansion of 2.0 in beta
7.755 * [backup-simplify]: Simplify 2.0 into 2.0
7.755 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.755 * [backup-simplify]: Simplify (+ 0 1) into 1
7.756 * [backup-simplify]: Simplify (+ 0 1) into 1
7.756 * [backup-simplify]: Simplify (+ 1 0) into 1
7.757 * [backup-simplify]: Simplify (+ 0 1) into 1
7.757 * [backup-simplify]: Simplify (+ 0 1) into 1
7.757 * [backup-simplify]: Simplify (* 1 1) into 1
7.757 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
7.758 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
7.758 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
7.758 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
7.758 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.758 * [backup-simplify]: Simplify 1.0 into 1.0
7.758 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
7.758 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
7.758 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.758 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.758 * [taylor]: Taking taylor expansion of alpha in alpha
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [backup-simplify]: Simplify (/ 1 1) into 1
7.758 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.758 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.759 * [backup-simplify]: Simplify 2.0 into 2.0
7.759 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.759 * [taylor]: Taking taylor expansion of i in alpha
7.759 * [backup-simplify]: Simplify i into i
7.759 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.759 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.759 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.759 * [taylor]: Taking taylor expansion of beta in alpha
7.759 * [backup-simplify]: Simplify beta into beta
7.759 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.759 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.759 * [backup-simplify]: Simplify 2.0 into 2.0
7.759 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.759 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.759 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.759 * [taylor]: Taking taylor expansion of alpha in alpha
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify 1 into 1
7.759 * [backup-simplify]: Simplify (/ 1 1) into 1
7.760 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.760 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.760 * [backup-simplify]: Simplify 2.0 into 2.0
7.760 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.760 * [taylor]: Taking taylor expansion of i in alpha
7.760 * [backup-simplify]: Simplify i into i
7.760 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.760 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.760 * [taylor]: Taking taylor expansion of beta in alpha
7.760 * [backup-simplify]: Simplify beta into beta
7.760 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.760 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.760 * [taylor]: Taking taylor expansion of beta in alpha
7.760 * [backup-simplify]: Simplify beta into beta
7.760 * [backup-simplify]: Simplify (+ 1 0) into 1
7.761 * [backup-simplify]: Simplify (+ 1 0) into 1
7.761 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.761 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.761 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.761 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
7.761 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
7.761 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
7.762 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.762 * [taylor]: Taking taylor expansion of alpha in alpha
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 1 into 1
7.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
7.762 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.762 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.762 * [taylor]: Taking taylor expansion of alpha in alpha
7.762 * [backup-simplify]: Simplify 0 into 0
7.762 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (/ 1 1) into 1
7.762 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.762 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.762 * [backup-simplify]: Simplify 2.0 into 2.0
7.762 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.762 * [taylor]: Taking taylor expansion of i in alpha
7.762 * [backup-simplify]: Simplify i into i
7.763 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.763 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.763 * [taylor]: Taking taylor expansion of beta in alpha
7.763 * [backup-simplify]: Simplify beta into beta
7.763 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.763 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.763 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.763 * [taylor]: Taking taylor expansion of alpha in alpha
7.763 * [backup-simplify]: Simplify 0 into 0
7.763 * [backup-simplify]: Simplify 1 into 1
7.763 * [backup-simplify]: Simplify (/ 1 1) into 1
7.763 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.763 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.763 * [backup-simplify]: Simplify 2.0 into 2.0
7.763 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.763 * [taylor]: Taking taylor expansion of i in alpha
7.763 * [backup-simplify]: Simplify i into i
7.763 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.764 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.764 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.764 * [taylor]: Taking taylor expansion of beta in alpha
7.764 * [backup-simplify]: Simplify beta into beta
7.764 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.764 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.764 * [backup-simplify]: Simplify 2.0 into 2.0
7.764 * [backup-simplify]: Simplify (* 1 1) into 1
7.765 * [backup-simplify]: Simplify (+ 1 0) into 1
7.765 * [backup-simplify]: Simplify (+ 1 0) into 1
7.765 * [backup-simplify]: Simplify (* 1 1) into 1
7.766 * [backup-simplify]: Simplify (* 1 1) into 1
7.766 * [backup-simplify]: Simplify (/ 1 1) into 1
7.766 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
7.766 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
7.766 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.766 * [backup-simplify]: Simplify 1.0 into 1.0
7.766 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
7.766 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
7.766 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.766 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.766 * [taylor]: Taking taylor expansion of alpha in alpha
7.766 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify 1 into 1
7.767 * [backup-simplify]: Simplify (/ 1 1) into 1
7.767 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.767 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.767 * [backup-simplify]: Simplify 2.0 into 2.0
7.767 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.767 * [taylor]: Taking taylor expansion of i in alpha
7.767 * [backup-simplify]: Simplify i into i
7.767 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.767 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.767 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.767 * [taylor]: Taking taylor expansion of beta in alpha
7.767 * [backup-simplify]: Simplify beta into beta
7.767 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.767 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.767 * [backup-simplify]: Simplify 2.0 into 2.0
7.767 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.767 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.767 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.767 * [taylor]: Taking taylor expansion of alpha in alpha
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (/ 1 1) into 1
7.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.768 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.768 * [backup-simplify]: Simplify 2.0 into 2.0
7.768 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.768 * [taylor]: Taking taylor expansion of i in alpha
7.768 * [backup-simplify]: Simplify i into i
7.768 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.768 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.768 * [taylor]: Taking taylor expansion of beta in alpha
7.768 * [backup-simplify]: Simplify beta into beta
7.768 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.768 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.768 * [taylor]: Taking taylor expansion of beta in alpha
7.768 * [backup-simplify]: Simplify beta into beta
7.769 * [backup-simplify]: Simplify (+ 1 0) into 1
7.769 * [backup-simplify]: Simplify (+ 1 0) into 1
7.769 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.769 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.769 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.769 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
7.769 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
7.769 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
7.769 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.769 * [taylor]: Taking taylor expansion of alpha in alpha
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 1 into 1
7.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
7.769 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.769 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.769 * [taylor]: Taking taylor expansion of alpha in alpha
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 1 into 1
7.770 * [backup-simplify]: Simplify (/ 1 1) into 1
7.770 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.770 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.770 * [backup-simplify]: Simplify 2.0 into 2.0
7.770 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.770 * [taylor]: Taking taylor expansion of i in alpha
7.770 * [backup-simplify]: Simplify i into i
7.770 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.770 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.770 * [taylor]: Taking taylor expansion of beta in alpha
7.770 * [backup-simplify]: Simplify beta into beta
7.770 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.770 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.770 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.770 * [taylor]: Taking taylor expansion of alpha in alpha
7.770 * [backup-simplify]: Simplify 0 into 0
7.770 * [backup-simplify]: Simplify 1 into 1
7.770 * [backup-simplify]: Simplify (/ 1 1) into 1
7.770 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.770 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.770 * [backup-simplify]: Simplify 2.0 into 2.0
7.770 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.770 * [taylor]: Taking taylor expansion of i in alpha
7.770 * [backup-simplify]: Simplify i into i
7.770 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.771 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.771 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.771 * [taylor]: Taking taylor expansion of beta in alpha
7.771 * [backup-simplify]: Simplify beta into beta
7.771 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.771 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.771 * [backup-simplify]: Simplify 2.0 into 2.0
7.771 * [backup-simplify]: Simplify (* 1 1) into 1
7.771 * [backup-simplify]: Simplify (+ 1 0) into 1
7.771 * [backup-simplify]: Simplify (+ 1 0) into 1
7.772 * [backup-simplify]: Simplify (* 1 1) into 1
7.772 * [backup-simplify]: Simplify (* 1 1) into 1
7.772 * [backup-simplify]: Simplify (/ 1 1) into 1
7.772 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.773 * [backup-simplify]: Simplify (- 1) into -1
7.773 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
7.773 * [taylor]: Taking taylor expansion of 0 in beta
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [taylor]: Taking taylor expansion of 0 in i
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify (+ 0 0) into 0
7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.774 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.774 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.774 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.774 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.775 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.775 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.775 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.775 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.776 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
7.776 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.776 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.776 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
7.776 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.776 * [taylor]: Taking taylor expansion of 4.0 in beta
7.776 * [backup-simplify]: Simplify 4.0 into 4.0
7.776 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.776 * [taylor]: Taking taylor expansion of i in beta
7.777 * [backup-simplify]: Simplify i into i
7.777 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.777 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
7.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.777 * [taylor]: Taking taylor expansion of 2 in beta
7.777 * [backup-simplify]: Simplify 2 into 2
7.777 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.777 * [taylor]: Taking taylor expansion of beta in beta
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 1 into 1
7.777 * [backup-simplify]: Simplify (/ 1 1) into 1
7.777 * [taylor]: Taking taylor expansion of 2.0 in beta
7.777 * [backup-simplify]: Simplify 2.0 into 2.0
7.777 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.778 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.778 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.778 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
7.778 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
7.778 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.778 * [taylor]: Taking taylor expansion of 4.0 in i
7.778 * [backup-simplify]: Simplify 4.0 into 4.0
7.778 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.778 * [taylor]: Taking taylor expansion of i in i
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify (/ 1 1) into 1
7.779 * [taylor]: Taking taylor expansion of 2.0 in i
7.779 * [backup-simplify]: Simplify 2.0 into 2.0
7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.779 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.780 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.780 * [backup-simplify]: Simplify 2.0 into 2.0
7.780 * [taylor]: Taking taylor expansion of 0 in i
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.781 * [backup-simplify]: Simplify (+ 0 0) into 0
7.782 * [backup-simplify]: Simplify (+ 0 0) into 0
7.782 * [backup-simplify]: Simplify (+ 0 0) into 0
7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.783 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.783 * [backup-simplify]: Simplify (+ 0 0) into 0
7.783 * [backup-simplify]: Simplify (+ 0 0) into 0
7.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
7.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.786 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
7.787 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
7.788 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
7.788 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
7.788 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
7.788 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.788 * [taylor]: Taking taylor expansion of 2 in beta
7.788 * [backup-simplify]: Simplify 2 into 2
7.788 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.788 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.788 * [taylor]: Taking taylor expansion of beta in beta
7.788 * [backup-simplify]: Simplify 0 into 0
7.788 * [backup-simplify]: Simplify 1 into 1
7.789 * [backup-simplify]: Simplify (* 1 1) into 1
7.789 * [backup-simplify]: Simplify (/ 1 1) into 1
7.789 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
7.789 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.789 * [taylor]: Taking taylor expansion of 12.0 in beta
7.789 * [backup-simplify]: Simplify 12.0 into 12.0
7.789 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.789 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.789 * [taylor]: Taking taylor expansion of i in beta
7.789 * [backup-simplify]: Simplify i into i
7.789 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.789 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.789 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
7.789 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.789 * [taylor]: Taking taylor expansion of 6.0 in beta
7.789 * [backup-simplify]: Simplify 6.0 into 6.0
7.789 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.789 * [taylor]: Taking taylor expansion of beta in beta
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (/ 1 1) into 1
7.790 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
7.790 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.790 * [taylor]: Taking taylor expansion of 12.0 in beta
7.790 * [backup-simplify]: Simplify 12.0 into 12.0
7.790 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.790 * [taylor]: Taking taylor expansion of i in beta
7.790 * [backup-simplify]: Simplify i into i
7.790 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.790 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
7.790 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.790 * [taylor]: Taking taylor expansion of 12.0 in beta
7.790 * [backup-simplify]: Simplify 12.0 into 12.0
7.790 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.790 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.790 * [taylor]: Taking taylor expansion of i in beta
7.790 * [backup-simplify]: Simplify i into i
7.790 * [taylor]: Taking taylor expansion of beta in beta
7.790 * [backup-simplify]: Simplify 0 into 0
7.790 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (* i 0) into 0
7.790 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.790 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.790 * [taylor]: Taking taylor expansion of 4.0 in beta
7.790 * [backup-simplify]: Simplify 4.0 into 4.0
7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.793 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.794 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.794 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.794 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.795 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.795 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.795 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
7.795 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
7.796 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
7.796 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
7.796 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
7.796 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
7.796 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
7.796 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.796 * [taylor]: Taking taylor expansion of 12.0 in i
7.796 * [backup-simplify]: Simplify 12.0 into 12.0
7.796 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.796 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.796 * [taylor]: Taking taylor expansion of i in i
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 1 into 1
7.796 * [backup-simplify]: Simplify (* 1 1) into 1
7.797 * [backup-simplify]: Simplify (/ 1 1) into 1
7.797 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
7.797 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.797 * [taylor]: Taking taylor expansion of 12.0 in i
7.797 * [backup-simplify]: Simplify 12.0 into 12.0
7.797 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.797 * [taylor]: Taking taylor expansion of i in i
7.797 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify 1 into 1
7.797 * [backup-simplify]: Simplify (/ 1 1) into 1
7.797 * [taylor]: Taking taylor expansion of 4.0 in i
7.797 * [backup-simplify]: Simplify 4.0 into 4.0
7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.799 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.800 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
7.801 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.801 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.801 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.801 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.802 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 0) into 0
7.803 * [backup-simplify]: Simplify (+ 0 0) into 0
7.803 * [taylor]: Taking taylor expansion of 0 in i
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [taylor]: Taking taylor expansion of 0 in i
7.803 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
7.805 * [backup-simplify]: Simplify (+ 0 0) into 0
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.806 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.806 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.806 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.807 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.807 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.807 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.807 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.807 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
7.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
7.809 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
7.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.810 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.810 * [backup-simplify]: Simplify (+ 0 0) into 0
7.810 * [backup-simplify]: Simplify (+ 0 0) into 0
7.811 * [backup-simplify]: Simplify (+ 0 0) into 0
7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.812 * [backup-simplify]: Simplify (+ 0 0) into 0
7.813 * [backup-simplify]: Simplify (+ 0 0) into 0
7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
7.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
7.824 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
7.828 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
7.828 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
7.828 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
7.828 * [taylor]: Taking taylor expansion of 20.0 in beta
7.828 * [backup-simplify]: Simplify 20.0 into 20.0
7.828 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
7.828 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.828 * [taylor]: Taking taylor expansion of i in beta
7.828 * [backup-simplify]: Simplify i into i
7.829 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.829 * [taylor]: Taking taylor expansion of beta in beta
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.833 * [backup-simplify]: Simplify (* 1 1) into 1
7.834 * [backup-simplify]: Simplify (* i 1) into i
7.834 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.834 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
7.834 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
7.834 * [taylor]: Taking taylor expansion of 48.0 in beta
7.834 * [backup-simplify]: Simplify 48.0 into 48.0
7.834 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.834 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.834 * [taylor]: Taking taylor expansion of i in beta
7.834 * [backup-simplify]: Simplify i into i
7.834 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.834 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.834 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
7.834 * [taylor]: Taking taylor expansion of 8.0 in beta
7.834 * [backup-simplify]: Simplify 8.0 into 8.0
7.834 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
7.835 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
7.835 * [taylor]: Taking taylor expansion of 10.0 in beta
7.835 * [backup-simplify]: Simplify 10.0 into 10.0
7.835 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.835 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.835 * [taylor]: Taking taylor expansion of beta in beta
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 1 into 1
7.835 * [backup-simplify]: Simplify (* 1 1) into 1
7.836 * [backup-simplify]: Simplify (/ 1 1) into 1
7.836 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
7.836 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
7.836 * [taylor]: Taking taylor expansion of 48.0 in beta
7.836 * [backup-simplify]: Simplify 48.0 into 48.0
7.836 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.836 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.836 * [taylor]: Taking taylor expansion of i in beta
7.836 * [backup-simplify]: Simplify i into i
7.836 * [taylor]: Taking taylor expansion of beta in beta
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify (* i 0) into 0
7.836 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.836 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.837 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
7.837 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
7.837 * [taylor]: Taking taylor expansion of 2 in beta
7.837 * [backup-simplify]: Simplify 2 into 2
7.837 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
7.837 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.837 * [taylor]: Taking taylor expansion of beta in beta
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [backup-simplify]: Simplify (* 1 1) into 1
7.837 * [backup-simplify]: Simplify (* 1 1) into 1
7.838 * [backup-simplify]: Simplify (/ 1 1) into 1
7.838 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
7.838 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
7.838 * [taylor]: Taking taylor expansion of 48.0 in beta
7.838 * [backup-simplify]: Simplify 48.0 into 48.0
7.838 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
7.838 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
7.838 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.838 * [taylor]: Taking taylor expansion of i in beta
7.838 * [backup-simplify]: Simplify i into i
7.838 * [taylor]: Taking taylor expansion of beta in beta
7.838 * [backup-simplify]: Simplify 0 into 0
7.838 * [backup-simplify]: Simplify 1 into 1
7.838 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.838 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
7.838 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
7.839 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
7.839 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.839 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
7.839 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
7.839 * [taylor]: Taking taylor expansion of 32.0 in beta
7.839 * [backup-simplify]: Simplify 32.0 into 32.0
7.839 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.839 * [taylor]: Taking taylor expansion of i in beta
7.839 * [backup-simplify]: Simplify i into i
7.839 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.839 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
7.839 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
7.840 * [taylor]: Taking taylor expansion of 16.0 in beta
7.840 * [backup-simplify]: Simplify 16.0 into 16.0
7.840 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.840 * [taylor]: Taking taylor expansion of beta in beta
7.840 * [backup-simplify]: Simplify 0 into 0
7.840 * [backup-simplify]: Simplify 1 into 1
7.840 * [backup-simplify]: Simplify (/ 1 1) into 1
7.840 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
7.840 * [taylor]: Taking taylor expansion of 32.0 in beta
7.840 * [backup-simplify]: Simplify 32.0 into 32.0
7.840 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
7.840 * [taylor]: Taking taylor expansion of (pow i 3) in beta
7.840 * [taylor]: Taking taylor expansion of i in beta
7.840 * [backup-simplify]: Simplify i into i
7.840 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.840 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
7.841 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
7.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.843 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
7.843 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
7.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.844 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.844 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
7.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.847 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
7.847 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.848 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.854 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
7.854 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
7.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
7.855 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
7.855 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.856 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
7.856 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
7.856 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
7.856 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
7.856 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.856 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.857 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.857 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.857 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
7.857 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
7.858 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
7.858 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
7.858 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
7.858 * [taylor]: Taking taylor expansion of 48.0 in i
7.858 * [backup-simplify]: Simplify 48.0 into 48.0
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.858 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.858 * [taylor]: Taking taylor expansion of i in i
7.858 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify 1 into 1
7.858 * [backup-simplify]: Simplify (* 1 1) into 1
7.858 * [backup-simplify]: Simplify (/ 1 1) into 1
7.858 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
7.858 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
7.858 * [taylor]: Taking taylor expansion of 32.0 in i
7.858 * [backup-simplify]: Simplify 32.0 into 32.0
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
7.858 * [taylor]: Taking taylor expansion of (pow i 3) in i
7.858 * [taylor]: Taking taylor expansion of i in i
7.858 * [backup-simplify]: Simplify 0 into 0
7.858 * [backup-simplify]: Simplify 1 into 1
7.859 * [backup-simplify]: Simplify (* 1 1) into 1
7.859 * [backup-simplify]: Simplify (* 1 1) into 1
7.859 * [backup-simplify]: Simplify (/ 1 1) into 1
7.859 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
7.859 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
7.859 * [taylor]: Taking taylor expansion of 32.0 in i
7.859 * [backup-simplify]: Simplify 32.0 into 32.0
7.859 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.859 * [taylor]: Taking taylor expansion of i in i
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.860 * [backup-simplify]: Simplify (/ 1 1) into 1
7.860 * [taylor]: Taking taylor expansion of 8.0 in i
7.860 * [backup-simplify]: Simplify 8.0 into 8.0
7.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.862 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
7.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.867 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.868 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
7.868 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
7.868 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
7.869 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
7.869 * [backup-simplify]: Simplify 8.0 into 8.0
7.869 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
7.870 * [backup-simplify]: Simplify (log (exp (+ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) 1.0))) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
7.870 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
7.870 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
7.870 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
7.870 * [taylor]: Taking taylor expansion of 1.0 in i
7.870 * [backup-simplify]: Simplify 1.0 into 1.0
7.870 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
7.870 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
7.870 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.870 * [taylor]: Taking taylor expansion of alpha in i
7.870 * [backup-simplify]: Simplify alpha into alpha
7.870 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
7.870 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
7.871 * [taylor]: Taking taylor expansion of 2.0 in i
7.871 * [backup-simplify]: Simplify 2.0 into 2.0
7.871 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.871 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.871 * [taylor]: Taking taylor expansion of alpha in i
7.871 * [backup-simplify]: Simplify alpha into alpha
7.871 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.871 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.871 * [taylor]: Taking taylor expansion of 2.0 in i
7.871 * [backup-simplify]: Simplify 2.0 into 2.0
7.871 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.871 * [taylor]: Taking taylor expansion of i in i
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [backup-simplify]: Simplify (/ 1 1) into 1
7.871 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.871 * [taylor]: Taking taylor expansion of beta in i
7.871 * [backup-simplify]: Simplify beta into beta
7.871 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.871 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.871 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.871 * [taylor]: Taking taylor expansion of alpha in i
7.871 * [backup-simplify]: Simplify alpha into alpha
7.871 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.871 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.871 * [taylor]: Taking taylor expansion of 2.0 in i
7.871 * [backup-simplify]: Simplify 2.0 into 2.0
7.871 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.871 * [taylor]: Taking taylor expansion of i in i
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (/ 1 1) into 1
7.872 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.872 * [taylor]: Taking taylor expansion of beta in i
7.872 * [backup-simplify]: Simplify beta into beta
7.872 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.872 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.872 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.872 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.873 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.873 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.873 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.874 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.874 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.874 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.875 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
7.875 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
7.875 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
7.875 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
7.875 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
7.875 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
7.875 * [taylor]: Taking taylor expansion of 2.0 in i
7.875 * [backup-simplify]: Simplify 2.0 into 2.0
7.875 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.875 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.875 * [taylor]: Taking taylor expansion of alpha in i
7.875 * [backup-simplify]: Simplify alpha into alpha
7.875 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.875 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.875 * [taylor]: Taking taylor expansion of 2.0 in i
7.875 * [backup-simplify]: Simplify 2.0 into 2.0
7.875 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.875 * [taylor]: Taking taylor expansion of i in i
7.875 * [backup-simplify]: Simplify 0 into 0
7.875 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (/ 1 1) into 1
7.876 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.876 * [taylor]: Taking taylor expansion of beta in i
7.876 * [backup-simplify]: Simplify beta into beta
7.876 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.876 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
7.876 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.876 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.876 * [taylor]: Taking taylor expansion of alpha in i
7.876 * [backup-simplify]: Simplify alpha into alpha
7.876 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.876 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.876 * [taylor]: Taking taylor expansion of 2.0 in i
7.876 * [backup-simplify]: Simplify 2.0 into 2.0
7.876 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.876 * [taylor]: Taking taylor expansion of i in i
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 1 into 1
7.876 * [backup-simplify]: Simplify (/ 1 1) into 1
7.876 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.876 * [taylor]: Taking taylor expansion of beta in i
7.876 * [backup-simplify]: Simplify beta into beta
7.876 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.876 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.876 * [taylor]: Taking taylor expansion of beta in i
7.876 * [backup-simplify]: Simplify beta into beta
7.877 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.877 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.877 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.877 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.878 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.878 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.879 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.879 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.879 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.879 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
7.879 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
7.879 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
7.879 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
7.879 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
7.879 * [taylor]: Taking taylor expansion of 1.0 in beta
7.880 * [backup-simplify]: Simplify 1.0 into 1.0
7.880 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
7.880 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
7.880 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.880 * [taylor]: Taking taylor expansion of alpha in beta
7.880 * [backup-simplify]: Simplify alpha into alpha
7.880 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
7.880 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
7.880 * [taylor]: Taking taylor expansion of 2.0 in beta
7.880 * [backup-simplify]: Simplify 2.0 into 2.0
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.880 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.880 * [taylor]: Taking taylor expansion of alpha in beta
7.880 * [backup-simplify]: Simplify alpha into alpha
7.880 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.880 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.880 * [taylor]: Taking taylor expansion of 2.0 in beta
7.880 * [backup-simplify]: Simplify 2.0 into 2.0
7.880 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.880 * [taylor]: Taking taylor expansion of i in beta
7.880 * [backup-simplify]: Simplify i into i
7.880 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.880 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.880 * [taylor]: Taking taylor expansion of beta in beta
7.880 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (/ 1 1) into 1
7.880 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.880 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.880 * [taylor]: Taking taylor expansion of alpha in beta
7.880 * [backup-simplify]: Simplify alpha into alpha
7.880 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.880 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.880 * [taylor]: Taking taylor expansion of 2.0 in beta
7.880 * [backup-simplify]: Simplify 2.0 into 2.0
7.881 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.881 * [taylor]: Taking taylor expansion of i in beta
7.881 * [backup-simplify]: Simplify i into i
7.881 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.881 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.881 * [taylor]: Taking taylor expansion of beta in beta
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [backup-simplify]: Simplify (/ 1 1) into 1
7.881 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.881 * [backup-simplify]: Simplify (+ 0 1) into 1
7.881 * [backup-simplify]: Simplify (+ 0 1) into 1
7.882 * [backup-simplify]: Simplify (- 1) into -1
7.882 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.882 * [backup-simplify]: Simplify (+ 0 1) into 1
7.882 * [backup-simplify]: Simplify (+ 0 1) into 1
7.883 * [backup-simplify]: Simplify (* -1 1) into -1
7.883 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
7.883 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
7.883 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
7.883 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
7.883 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
7.883 * [taylor]: Taking taylor expansion of 2.0 in beta
7.883 * [backup-simplify]: Simplify 2.0 into 2.0
7.883 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.883 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.883 * [taylor]: Taking taylor expansion of alpha in beta
7.883 * [backup-simplify]: Simplify alpha into alpha
7.883 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.883 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.883 * [taylor]: Taking taylor expansion of 2.0 in beta
7.883 * [backup-simplify]: Simplify 2.0 into 2.0
7.883 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.883 * [taylor]: Taking taylor expansion of i in beta
7.883 * [backup-simplify]: Simplify i into i
7.883 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.883 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.883 * [taylor]: Taking taylor expansion of beta in beta
7.883 * [backup-simplify]: Simplify 0 into 0
7.883 * [backup-simplify]: Simplify 1 into 1
7.884 * [backup-simplify]: Simplify (/ 1 1) into 1
7.884 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
7.884 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.884 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.884 * [taylor]: Taking taylor expansion of alpha in beta
7.884 * [backup-simplify]: Simplify alpha into alpha
7.884 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.884 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.884 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.884 * [taylor]: Taking taylor expansion of 2.0 in beta
7.884 * [backup-simplify]: Simplify 2.0 into 2.0
7.884 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.884 * [taylor]: Taking taylor expansion of i in beta
7.884 * [backup-simplify]: Simplify i into i
7.884 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.884 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.884 * [taylor]: Taking taylor expansion of beta in beta
7.884 * [backup-simplify]: Simplify 0 into 0
7.884 * [backup-simplify]: Simplify 1 into 1
7.884 * [backup-simplify]: Simplify (/ 1 1) into 1
7.884 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.884 * [taylor]: Taking taylor expansion of beta in beta
7.884 * [backup-simplify]: Simplify 0 into 0
7.884 * [backup-simplify]: Simplify 1 into 1
7.885 * [backup-simplify]: Simplify (+ 0 1) into 1
7.885 * [backup-simplify]: Simplify (+ 0 1) into 1
7.885 * [backup-simplify]: Simplify (- 1) into -1
7.885 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.886 * [backup-simplify]: Simplify (+ 0 1) into 1
7.886 * [backup-simplify]: Simplify (+ 0 1) into 1
7.886 * [backup-simplify]: Simplify (* 1 1) into 1
7.886 * [backup-simplify]: Simplify (* 1 1) into 1
7.886 * [backup-simplify]: Simplify (* -1 1) into -1
7.887 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.887 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
7.887 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
7.887 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.887 * [backup-simplify]: Simplify 1.0 into 1.0
7.887 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
7.887 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
7.887 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.887 * [taylor]: Taking taylor expansion of alpha in alpha
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.887 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.887 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.887 * [backup-simplify]: Simplify 2.0 into 2.0
7.887 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.887 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.887 * [taylor]: Taking taylor expansion of alpha in alpha
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [backup-simplify]: Simplify (/ 1 1) into 1
7.887 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.887 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.887 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.887 * [backup-simplify]: Simplify 2.0 into 2.0
7.887 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.887 * [taylor]: Taking taylor expansion of i in alpha
7.887 * [backup-simplify]: Simplify i into i
7.888 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.888 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.888 * [taylor]: Taking taylor expansion of beta in alpha
7.888 * [backup-simplify]: Simplify beta into beta
7.888 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.888 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.888 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.888 * [taylor]: Taking taylor expansion of alpha in alpha
7.888 * [backup-simplify]: Simplify 0 into 0
7.888 * [backup-simplify]: Simplify 1 into 1
7.888 * [backup-simplify]: Simplify (/ 1 1) into 1
7.888 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.888 * [backup-simplify]: Simplify 2.0 into 2.0
7.888 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.888 * [taylor]: Taking taylor expansion of i in alpha
7.888 * [backup-simplify]: Simplify i into i
7.888 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.888 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.888 * [taylor]: Taking taylor expansion of beta in alpha
7.888 * [backup-simplify]: Simplify beta into beta
7.888 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.888 * [backup-simplify]: Simplify (* 1 1) into 1
7.889 * [backup-simplify]: Simplify (+ 1 0) into 1
7.889 * [backup-simplify]: Simplify (- 1) into -1
7.889 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.889 * [backup-simplify]: Simplify (+ 1 0) into 1
7.890 * [backup-simplify]: Simplify (* -1 1) into -1
7.890 * [backup-simplify]: Simplify (* 1 -1) into -1
7.890 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.890 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
7.890 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
7.890 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.890 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.890 * [backup-simplify]: Simplify 2.0 into 2.0
7.890 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.890 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.890 * [taylor]: Taking taylor expansion of alpha in alpha
7.890 * [backup-simplify]: Simplify 0 into 0
7.890 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (/ 1 1) into 1
7.891 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.891 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.891 * [backup-simplify]: Simplify 2.0 into 2.0
7.891 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.891 * [taylor]: Taking taylor expansion of i in alpha
7.891 * [backup-simplify]: Simplify i into i
7.891 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.891 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.891 * [taylor]: Taking taylor expansion of beta in alpha
7.891 * [backup-simplify]: Simplify beta into beta
7.891 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.891 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.891 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.891 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.891 * [taylor]: Taking taylor expansion of alpha in alpha
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (/ 1 1) into 1
7.891 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.891 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.891 * [backup-simplify]: Simplify 2.0 into 2.0
7.891 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.891 * [taylor]: Taking taylor expansion of i in alpha
7.891 * [backup-simplify]: Simplify i into i
7.891 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.891 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.891 * [taylor]: Taking taylor expansion of beta in alpha
7.891 * [backup-simplify]: Simplify beta into beta
7.892 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.892 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.892 * [taylor]: Taking taylor expansion of beta in alpha
7.892 * [backup-simplify]: Simplify beta into beta
7.892 * [backup-simplify]: Simplify (+ 1 0) into 1
7.892 * [backup-simplify]: Simplify (- 1) into -1
7.893 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.893 * [backup-simplify]: Simplify (+ 1 0) into 1
7.893 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.894 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.894 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
7.894 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
7.894 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
7.894 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
7.894 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.894 * [backup-simplify]: Simplify 1.0 into 1.0
7.894 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
7.894 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
7.894 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.894 * [taylor]: Taking taylor expansion of alpha in alpha
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.894 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.894 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.894 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.894 * [backup-simplify]: Simplify 2.0 into 2.0
7.894 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.894 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.894 * [taylor]: Taking taylor expansion of alpha in alpha
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify 1 into 1
7.895 * [backup-simplify]: Simplify (/ 1 1) into 1
7.895 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.895 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.895 * [backup-simplify]: Simplify 2.0 into 2.0
7.895 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.895 * [taylor]: Taking taylor expansion of i in alpha
7.895 * [backup-simplify]: Simplify i into i
7.895 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.895 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.895 * [taylor]: Taking taylor expansion of beta in alpha
7.895 * [backup-simplify]: Simplify beta into beta
7.895 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.895 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.895 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.896 * [taylor]: Taking taylor expansion of alpha in alpha
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 1 into 1
7.896 * [backup-simplify]: Simplify (/ 1 1) into 1
7.896 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.896 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.896 * [backup-simplify]: Simplify 2.0 into 2.0
7.896 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.896 * [taylor]: Taking taylor expansion of i in alpha
7.896 * [backup-simplify]: Simplify i into i
7.896 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.896 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.896 * [taylor]: Taking taylor expansion of beta in alpha
7.896 * [backup-simplify]: Simplify beta into beta
7.896 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.897 * [backup-simplify]: Simplify (* 1 1) into 1
7.897 * [backup-simplify]: Simplify (+ 1 0) into 1
7.898 * [backup-simplify]: Simplify (- 1) into -1
7.898 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.898 * [backup-simplify]: Simplify (+ 1 0) into 1
7.899 * [backup-simplify]: Simplify (* -1 1) into -1
7.899 * [backup-simplify]: Simplify (* 1 -1) into -1
7.900 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.900 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
7.900 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
7.900 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.900 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.900 * [backup-simplify]: Simplify 2.0 into 2.0
7.900 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.900 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.900 * [taylor]: Taking taylor expansion of alpha in alpha
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.901 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.901 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.901 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.901 * [backup-simplify]: Simplify 2.0 into 2.0
7.901 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.901 * [taylor]: Taking taylor expansion of i in alpha
7.901 * [backup-simplify]: Simplify i into i
7.901 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.901 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.901 * [taylor]: Taking taylor expansion of beta in alpha
7.901 * [backup-simplify]: Simplify beta into beta
7.901 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.901 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.901 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.901 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.901 * [taylor]: Taking taylor expansion of alpha in alpha
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.902 * [backup-simplify]: Simplify (/ 1 1) into 1
7.902 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.902 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.902 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.902 * [backup-simplify]: Simplify 2.0 into 2.0
7.902 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.902 * [taylor]: Taking taylor expansion of i in alpha
7.902 * [backup-simplify]: Simplify i into i
7.902 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.902 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.902 * [taylor]: Taking taylor expansion of beta in alpha
7.902 * [backup-simplify]: Simplify beta into beta
7.902 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.902 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.902 * [taylor]: Taking taylor expansion of beta in alpha
7.902 * [backup-simplify]: Simplify beta into beta
7.903 * [backup-simplify]: Simplify (+ 1 0) into 1
7.903 * [backup-simplify]: Simplify (- 1) into -1
7.903 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.904 * [backup-simplify]: Simplify (+ 1 0) into 1
7.904 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.904 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.904 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
7.905 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
7.905 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.906 * [taylor]: Taking taylor expansion of 0 in beta
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [taylor]: Taking taylor expansion of 0 in i
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.907 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.907 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.908 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.908 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.908 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.908 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.909 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.909 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.911 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
7.911 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
7.912 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
7.912 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
7.912 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
7.912 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
7.912 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.912 * [taylor]: Taking taylor expansion of 4.0 in beta
7.912 * [backup-simplify]: Simplify 4.0 into 4.0
7.912 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.912 * [taylor]: Taking taylor expansion of i in beta
7.912 * [backup-simplify]: Simplify i into i
7.912 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.912 * [taylor]: Taking taylor expansion of 2 in beta
7.912 * [backup-simplify]: Simplify 2 into 2
7.912 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.912 * [taylor]: Taking taylor expansion of beta in beta
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.913 * [backup-simplify]: Simplify (/ 1 1) into 1
7.913 * [taylor]: Taking taylor expansion of 2.0 in beta
7.913 * [backup-simplify]: Simplify 2.0 into 2.0
7.913 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.915 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.915 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
7.915 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.916 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
7.916 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
7.916 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.916 * [taylor]: Taking taylor expansion of 4.0 in i
7.916 * [backup-simplify]: Simplify 4.0 into 4.0
7.916 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.916 * [taylor]: Taking taylor expansion of i in i
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [backup-simplify]: Simplify (/ 1 1) into 1
7.916 * [taylor]: Taking taylor expansion of 2.0 in i
7.916 * [backup-simplify]: Simplify 2.0 into 2.0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.918 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.918 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.919 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.920 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.920 * [taylor]: Taking taylor expansion of 0 in i
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 0 into 0
7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.922 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.922 * [backup-simplify]: Simplify (+ 0 0) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (- 0) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.928 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
7.929 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
7.929 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
7.930 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
7.930 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
7.930 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
7.930 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
7.930 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.930 * [taylor]: Taking taylor expansion of 12.0 in beta
7.930 * [backup-simplify]: Simplify 12.0 into 12.0
7.930 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.930 * [taylor]: Taking taylor expansion of i in beta
7.930 * [backup-simplify]: Simplify i into i
7.930 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.930 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.931 * [taylor]: Taking taylor expansion of 6.0 in beta
7.931 * [backup-simplify]: Simplify 6.0 into 6.0
7.931 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.931 * [taylor]: Taking taylor expansion of beta in beta
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 1 into 1
7.931 * [backup-simplify]: Simplify (/ 1 1) into 1
7.931 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
7.931 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.931 * [taylor]: Taking taylor expansion of 12.0 in beta
7.931 * [backup-simplify]: Simplify 12.0 into 12.0
7.931 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.931 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.931 * [taylor]: Taking taylor expansion of i in beta
7.931 * [backup-simplify]: Simplify i into i
7.931 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.931 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.931 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
7.931 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.931 * [taylor]: Taking taylor expansion of 12.0 in beta
7.931 * [backup-simplify]: Simplify 12.0 into 12.0
7.931 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.931 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.931 * [taylor]: Taking taylor expansion of i in beta
7.931 * [backup-simplify]: Simplify i into i
7.931 * [taylor]: Taking taylor expansion of beta in beta
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 1 into 1
7.931 * [backup-simplify]: Simplify (* i 0) into 0
7.932 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.932 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.932 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
7.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.932 * [taylor]: Taking taylor expansion of 2 in beta
7.932 * [backup-simplify]: Simplify 2 into 2
7.932 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.932 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.932 * [taylor]: Taking taylor expansion of beta in beta
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [backup-simplify]: Simplify (* 1 1) into 1
7.932 * [backup-simplify]: Simplify (/ 1 1) into 1
7.932 * [taylor]: Taking taylor expansion of 4.0 in beta
7.933 * [backup-simplify]: Simplify 4.0 into 4.0
7.933 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.933 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.934 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
7.934 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.934 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.935 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.937 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.937 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.938 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
7.938 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
7.938 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
7.938 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
7.938 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.938 * [taylor]: Taking taylor expansion of 12.0 in i
7.938 * [backup-simplify]: Simplify 12.0 into 12.0
7.938 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.938 * [taylor]: Taking taylor expansion of i in i
7.938 * [backup-simplify]: Simplify 0 into 0
7.938 * [backup-simplify]: Simplify 1 into 1
7.938 * [backup-simplify]: Simplify (/ 1 1) into 1
7.938 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
7.938 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.938 * [taylor]: Taking taylor expansion of 12.0 in i
7.938 * [backup-simplify]: Simplify 12.0 into 12.0
7.939 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.939 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.939 * [taylor]: Taking taylor expansion of i in i
7.939 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify 1 into 1
7.939 * [backup-simplify]: Simplify (* 1 1) into 1
7.939 * [backup-simplify]: Simplify (/ 1 1) into 1
7.939 * [taylor]: Taking taylor expansion of 4.0 in i
7.939 * [backup-simplify]: Simplify 4.0 into 4.0
7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
7.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
7.947 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.947 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.948 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
7.948 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.949 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.950 * [backup-simplify]: Simplify (+ 0 0) into 0
7.950 * [backup-simplify]: Simplify (- 0) into 0
7.951 * [backup-simplify]: Simplify (+ 0 0) into 0
7.951 * [taylor]: Taking taylor expansion of 0 in i
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [taylor]: Taking taylor expansion of 0 in i
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.952 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
7.952 * [backup-simplify]: Simplify (- 0) into 0
7.952 * [backup-simplify]: Simplify (+ 0 0) into 0
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify 0 into 0
7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.954 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify (+ 0 0) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.955 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.956 * [backup-simplify]: Simplify (+ 0 0) into 0
7.956 * [backup-simplify]: Simplify (+ 0 0) into 0
7.956 * [backup-simplify]: Simplify (- 0) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
7.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
7.963 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
7.966 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
7.966 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.967 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.967 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.968 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.969 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.970 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.970 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.970 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.970 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.971 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
7.972 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
7.973 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
7.977 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
7.977 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
7.977 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
7.977 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
7.977 * [taylor]: Taking taylor expansion of 20.0 in beta
7.977 * [backup-simplify]: Simplify 20.0 into 20.0
7.977 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
7.977 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.977 * [taylor]: Taking taylor expansion of i in beta
7.977 * [backup-simplify]: Simplify i into i
7.978 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.978 * [taylor]: Taking taylor expansion of beta in beta
7.978 * [backup-simplify]: Simplify 0 into 0
7.978 * [backup-simplify]: Simplify 1 into 1
7.978 * [backup-simplify]: Simplify (* 1 1) into 1
7.978 * [backup-simplify]: Simplify (* i 1) into i
7.978 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.978 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
7.978 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
7.978 * [taylor]: Taking taylor expansion of 2 in beta
7.978 * [backup-simplify]: Simplify 2 into 2
7.979 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
7.979 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.979 * [taylor]: Taking taylor expansion of beta in beta
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify 1 into 1
7.979 * [backup-simplify]: Simplify (* 1 1) into 1
7.979 * [backup-simplify]: Simplify (* 1 1) into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.980 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
7.980 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
7.980 * [taylor]: Taking taylor expansion of 48.0 in beta
7.980 * [backup-simplify]: Simplify 48.0 into 48.0
7.980 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
7.980 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
7.980 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.980 * [taylor]: Taking taylor expansion of i in beta
7.980 * [backup-simplify]: Simplify i into i
7.980 * [taylor]: Taking taylor expansion of beta in beta
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.981 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
7.981 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
7.981 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
7.981 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.981 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
7.981 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
7.982 * [taylor]: Taking taylor expansion of 32.0 in beta
7.982 * [backup-simplify]: Simplify 32.0 into 32.0
7.982 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.982 * [taylor]: Taking taylor expansion of i in beta
7.982 * [backup-simplify]: Simplify i into i
7.982 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.982 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
7.982 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
7.982 * [taylor]: Taking taylor expansion of 16.0 in beta
7.982 * [backup-simplify]: Simplify 16.0 into 16.0
7.982 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.982 * [taylor]: Taking taylor expansion of beta in beta
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify (/ 1 1) into 1
7.982 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
7.982 * [taylor]: Taking taylor expansion of 32.0 in beta
7.982 * [backup-simplify]: Simplify 32.0 into 32.0
7.982 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
7.983 * [taylor]: Taking taylor expansion of (pow i 3) in beta
7.983 * [taylor]: Taking taylor expansion of i in beta
7.983 * [backup-simplify]: Simplify i into i
7.983 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.983 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
7.983 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
7.983 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
7.983 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
7.983 * [taylor]: Taking taylor expansion of 10.0 in beta
7.983 * [backup-simplify]: Simplify 10.0 into 10.0
7.983 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.983 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.983 * [taylor]: Taking taylor expansion of beta in beta
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify 1 into 1
7.984 * [backup-simplify]: Simplify (* 1 1) into 1
7.984 * [backup-simplify]: Simplify (/ 1 1) into 1
7.984 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
7.984 * [taylor]: Taking taylor expansion of 8.0 in beta
7.984 * [backup-simplify]: Simplify 8.0 into 8.0
7.984 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
7.984 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
7.984 * [taylor]: Taking taylor expansion of 48.0 in beta
7.984 * [backup-simplify]: Simplify 48.0 into 48.0
7.984 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.984 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.984 * [taylor]: Taking taylor expansion of i in beta
7.984 * [backup-simplify]: Simplify i into i
7.984 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.984 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.985 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
7.985 * [taylor]: Taking taylor expansion of 48.0 in beta
7.985 * [backup-simplify]: Simplify 48.0 into 48.0
7.985 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.985 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.985 * [taylor]: Taking taylor expansion of i in beta
7.985 * [backup-simplify]: Simplify i into i
7.985 * [taylor]: Taking taylor expansion of beta in beta
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.985 * [backup-simplify]: Simplify (* i 0) into 0
7.985 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.985 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.986 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
7.987 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
7.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.987 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.993 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
7.994 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
7.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
7.995 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
7.995 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.997 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
7.997 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
7.997 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
7.997 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
7.998 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.998 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.998 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
7.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.003 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
8.003 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
8.004 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.005 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
8.005 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
8.005 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.006 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.006 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
8.007 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
8.007 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
8.007 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
8.007 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.007 * [taylor]: Taking taylor expansion of 32.0 in i
8.007 * [backup-simplify]: Simplify 32.0 into 32.0
8.007 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.007 * [taylor]: Taking taylor expansion of i in i
8.007 * [backup-simplify]: Simplify 0 into 0
8.007 * [backup-simplify]: Simplify 1 into 1
8.007 * [backup-simplify]: Simplify (/ 1 1) into 1
8.007 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.007 * [taylor]: Taking taylor expansion of 32.0 in i
8.007 * [backup-simplify]: Simplify 32.0 into 32.0
8.007 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.007 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.008 * [taylor]: Taking taylor expansion of i in i
8.008 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify 1 into 1
8.008 * [backup-simplify]: Simplify (* 1 1) into 1
8.008 * [backup-simplify]: Simplify (* 1 1) into 1
8.009 * [backup-simplify]: Simplify (/ 1 1) into 1
8.009 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
8.009 * [taylor]: Taking taylor expansion of 8.0 in i
8.009 * [backup-simplify]: Simplify 8.0 into 8.0
8.009 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.009 * [taylor]: Taking taylor expansion of 48.0 in i
8.009 * [backup-simplify]: Simplify 48.0 into 48.0
8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.009 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.009 * [taylor]: Taking taylor expansion of i in i
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.009 * [backup-simplify]: Simplify (* 1 1) into 1
8.009 * [backup-simplify]: Simplify (/ 1 1) into 1
8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.010 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (+ 0 0) into 0
8.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.018 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.018 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
8.018 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.019 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
8.019 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.020 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
8.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
8.021 * [backup-simplify]: Simplify (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
8.021 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
8.021 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
8.021 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
8.021 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.021 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.021 * [taylor]: Taking taylor expansion of beta in i
8.021 * [backup-simplify]: Simplify beta into beta
8.021 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.021 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.021 * [taylor]: Taking taylor expansion of alpha in i
8.021 * [backup-simplify]: Simplify alpha into alpha
8.021 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.021 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.021 * [taylor]: Taking taylor expansion of 2.0 in i
8.021 * [backup-simplify]: Simplify 2.0 into 2.0
8.021 * [taylor]: Taking taylor expansion of i in i
8.021 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify 1 into 1
8.021 * [taylor]: Taking taylor expansion of beta in i
8.021 * [backup-simplify]: Simplify beta into beta
8.021 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.021 * [taylor]: Taking taylor expansion of alpha in i
8.021 * [backup-simplify]: Simplify alpha into alpha
8.021 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.021 * [taylor]: Taking taylor expansion of 2.0 in i
8.021 * [backup-simplify]: Simplify 2.0 into 2.0
8.021 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.021 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.021 * [taylor]: Taking taylor expansion of 2.0 in i
8.021 * [backup-simplify]: Simplify 2.0 into 2.0
8.021 * [taylor]: Taking taylor expansion of i in i
8.021 * [backup-simplify]: Simplify 0 into 0
8.021 * [backup-simplify]: Simplify 1 into 1
8.021 * [taylor]: Taking taylor expansion of beta in i
8.021 * [backup-simplify]: Simplify beta into beta
8.021 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.022 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.022 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.022 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.022 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.022 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.022 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.022 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.022 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.022 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
8.022 * [taylor]: Taking taylor expansion of 1.0 in i
8.023 * [backup-simplify]: Simplify 1.0 into 1.0
8.023 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.023 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.023 * [taylor]: Taking taylor expansion of alpha in i
8.023 * [backup-simplify]: Simplify alpha into alpha
8.023 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.023 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.023 * [taylor]: Taking taylor expansion of alpha in i
8.023 * [backup-simplify]: Simplify alpha into alpha
8.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.023 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.023 * [taylor]: Taking taylor expansion of 2.0 in i
8.023 * [backup-simplify]: Simplify 2.0 into 2.0
8.023 * [taylor]: Taking taylor expansion of i in i
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify 1 into 1
8.023 * [taylor]: Taking taylor expansion of beta in i
8.023 * [backup-simplify]: Simplify beta into beta
8.023 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.023 * [taylor]: Taking taylor expansion of alpha in i
8.023 * [backup-simplify]: Simplify alpha into alpha
8.023 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.023 * [taylor]: Taking taylor expansion of 2.0 in i
8.023 * [backup-simplify]: Simplify 2.0 into 2.0
8.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.023 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.023 * [taylor]: Taking taylor expansion of 2.0 in i
8.023 * [backup-simplify]: Simplify 2.0 into 2.0
8.023 * [taylor]: Taking taylor expansion of i in i
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify 1 into 1
8.023 * [taylor]: Taking taylor expansion of beta in i
8.023 * [backup-simplify]: Simplify beta into beta
8.023 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.023 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.023 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.023 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.024 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.024 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.024 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.024 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.024 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.024 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
8.024 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
8.024 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
8.024 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.024 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.024 * [taylor]: Taking taylor expansion of beta in beta
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.024 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.024 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.024 * [taylor]: Taking taylor expansion of alpha in beta
8.024 * [backup-simplify]: Simplify alpha into alpha
8.024 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.024 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.024 * [taylor]: Taking taylor expansion of 2.0 in beta
8.024 * [backup-simplify]: Simplify 2.0 into 2.0
8.024 * [taylor]: Taking taylor expansion of i in beta
8.024 * [backup-simplify]: Simplify i into i
8.024 * [taylor]: Taking taylor expansion of beta in beta
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.024 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.025 * [taylor]: Taking taylor expansion of alpha in beta
8.025 * [backup-simplify]: Simplify alpha into alpha
8.025 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.025 * [taylor]: Taking taylor expansion of 2.0 in beta
8.025 * [backup-simplify]: Simplify 2.0 into 2.0
8.025 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.025 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.025 * [taylor]: Taking taylor expansion of 2.0 in beta
8.025 * [backup-simplify]: Simplify 2.0 into 2.0
8.025 * [taylor]: Taking taylor expansion of i in beta
8.025 * [backup-simplify]: Simplify i into i
8.025 * [taylor]: Taking taylor expansion of beta in beta
8.025 * [backup-simplify]: Simplify 0 into 0
8.025 * [backup-simplify]: Simplify 1 into 1
8.025 * [backup-simplify]: Simplify (* 1 1) into 1
8.025 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.025 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.025 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.025 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.025 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.025 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.025 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.025 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.026 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
8.026 * [taylor]: Taking taylor expansion of 1.0 in beta
8.026 * [backup-simplify]: Simplify 1.0 into 1.0
8.026 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.026 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.026 * [taylor]: Taking taylor expansion of alpha in beta
8.026 * [backup-simplify]: Simplify alpha into alpha
8.026 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.026 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.026 * [taylor]: Taking taylor expansion of alpha in beta
8.026 * [backup-simplify]: Simplify alpha into alpha
8.026 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.026 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.026 * [taylor]: Taking taylor expansion of 2.0 in beta
8.026 * [backup-simplify]: Simplify 2.0 into 2.0
8.026 * [taylor]: Taking taylor expansion of i in beta
8.026 * [backup-simplify]: Simplify i into i
8.026 * [taylor]: Taking taylor expansion of beta in beta
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.026 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.026 * [taylor]: Taking taylor expansion of alpha in beta
8.026 * [backup-simplify]: Simplify alpha into alpha
8.026 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.026 * [taylor]: Taking taylor expansion of 2.0 in beta
8.026 * [backup-simplify]: Simplify 2.0 into 2.0
8.026 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.026 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.026 * [taylor]: Taking taylor expansion of 2.0 in beta
8.026 * [backup-simplify]: Simplify 2.0 into 2.0
8.026 * [taylor]: Taking taylor expansion of i in beta
8.026 * [backup-simplify]: Simplify i into i
8.026 * [taylor]: Taking taylor expansion of beta in beta
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.026 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.026 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.026 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.026 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.026 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.026 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.026 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.027 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.027 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.027 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
8.027 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
8.027 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
8.027 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.027 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.027 * [taylor]: Taking taylor expansion of beta in alpha
8.027 * [backup-simplify]: Simplify beta into beta
8.027 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.027 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.027 * [taylor]: Taking taylor expansion of alpha in alpha
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.027 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.027 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.027 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.027 * [backup-simplify]: Simplify 2.0 into 2.0
8.027 * [taylor]: Taking taylor expansion of i in alpha
8.027 * [backup-simplify]: Simplify i into i
8.027 * [taylor]: Taking taylor expansion of beta in alpha
8.027 * [backup-simplify]: Simplify beta into beta
8.027 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.027 * [taylor]: Taking taylor expansion of alpha in alpha
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.027 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.027 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.027 * [backup-simplify]: Simplify 2.0 into 2.0
8.027 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.027 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.027 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.027 * [backup-simplify]: Simplify 2.0 into 2.0
8.027 * [taylor]: Taking taylor expansion of i in alpha
8.027 * [backup-simplify]: Simplify i into i
8.027 * [taylor]: Taking taylor expansion of beta in alpha
8.027 * [backup-simplify]: Simplify beta into beta
8.027 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.027 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.028 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.028 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.028 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.028 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.028 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.028 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.028 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.028 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.028 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.028 * [backup-simplify]: Simplify 1.0 into 1.0
8.028 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.028 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.028 * [taylor]: Taking taylor expansion of alpha in alpha
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.028 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.028 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.028 * [taylor]: Taking taylor expansion of alpha in alpha
8.028 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.029 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.029 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.029 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.029 * [backup-simplify]: Simplify 2.0 into 2.0
8.029 * [taylor]: Taking taylor expansion of i in alpha
8.029 * [backup-simplify]: Simplify i into i
8.029 * [taylor]: Taking taylor expansion of beta in alpha
8.029 * [backup-simplify]: Simplify beta into beta
8.029 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.029 * [taylor]: Taking taylor expansion of alpha in alpha
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.029 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.029 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.029 * [backup-simplify]: Simplify 2.0 into 2.0
8.029 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.029 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.029 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.029 * [backup-simplify]: Simplify 2.0 into 2.0
8.029 * [taylor]: Taking taylor expansion of i in alpha
8.029 * [backup-simplify]: Simplify i into i
8.029 * [taylor]: Taking taylor expansion of beta in alpha
8.029 * [backup-simplify]: Simplify beta into beta
8.030 * [backup-simplify]: Simplify (* 1 1) into 1
8.030 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.030 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.030 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.030 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.030 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.030 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.030 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.030 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.031 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.031 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
8.031 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
8.031 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.031 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.031 * [taylor]: Taking taylor expansion of beta in alpha
8.031 * [backup-simplify]: Simplify beta into beta
8.031 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.031 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.031 * [taylor]: Taking taylor expansion of alpha in alpha
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.031 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.031 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.031 * [backup-simplify]: Simplify 2.0 into 2.0
8.031 * [taylor]: Taking taylor expansion of i in alpha
8.031 * [backup-simplify]: Simplify i into i
8.031 * [taylor]: Taking taylor expansion of beta in alpha
8.031 * [backup-simplify]: Simplify beta into beta
8.031 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.031 * [taylor]: Taking taylor expansion of alpha in alpha
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.031 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.031 * [backup-simplify]: Simplify 2.0 into 2.0
8.031 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.031 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.031 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.031 * [backup-simplify]: Simplify 2.0 into 2.0
8.032 * [taylor]: Taking taylor expansion of i in alpha
8.032 * [backup-simplify]: Simplify i into i
8.032 * [taylor]: Taking taylor expansion of beta in alpha
8.032 * [backup-simplify]: Simplify beta into beta
8.032 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.032 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.032 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.032 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.032 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.032 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.032 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.032 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.032 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.033 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.033 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.033 * [backup-simplify]: Simplify 1.0 into 1.0
8.033 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.033 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.033 * [taylor]: Taking taylor expansion of alpha in alpha
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 1 into 1
8.033 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.033 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.033 * [taylor]: Taking taylor expansion of alpha in alpha
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 1 into 1
8.033 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.033 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.033 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.033 * [backup-simplify]: Simplify 2.0 into 2.0
8.033 * [taylor]: Taking taylor expansion of i in alpha
8.033 * [backup-simplify]: Simplify i into i
8.033 * [taylor]: Taking taylor expansion of beta in alpha
8.033 * [backup-simplify]: Simplify beta into beta
8.033 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.033 * [taylor]: Taking taylor expansion of alpha in alpha
8.033 * [backup-simplify]: Simplify 0 into 0
8.033 * [backup-simplify]: Simplify 1 into 1
8.033 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.034 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.034 * [backup-simplify]: Simplify 2.0 into 2.0
8.034 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.034 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.034 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.034 * [backup-simplify]: Simplify 2.0 into 2.0
8.034 * [taylor]: Taking taylor expansion of i in alpha
8.034 * [backup-simplify]: Simplify i into i
8.034 * [taylor]: Taking taylor expansion of beta in alpha
8.034 * [backup-simplify]: Simplify beta into beta
8.034 * [backup-simplify]: Simplify (* 1 1) into 1
8.034 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.034 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.034 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.035 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.035 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.035 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.035 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.035 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.035 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.036 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
8.036 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
8.036 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
8.036 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.036 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.036 * [taylor]: Taking taylor expansion of beta in beta
8.036 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify 1 into 1
8.036 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.036 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.036 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.036 * [taylor]: Taking taylor expansion of 2.0 in beta
8.037 * [backup-simplify]: Simplify 2.0 into 2.0
8.037 * [taylor]: Taking taylor expansion of i in beta
8.037 * [backup-simplify]: Simplify i into i
8.037 * [taylor]: Taking taylor expansion of beta in beta
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.037 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.037 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.037 * [taylor]: Taking taylor expansion of 2.0 in beta
8.037 * [backup-simplify]: Simplify 2.0 into 2.0
8.037 * [taylor]: Taking taylor expansion of i in beta
8.037 * [backup-simplify]: Simplify i into i
8.037 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.037 * [taylor]: Taking taylor expansion of beta in beta
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.037 * [taylor]: Taking taylor expansion of 2.0 in beta
8.037 * [backup-simplify]: Simplify 2.0 into 2.0
8.037 * [backup-simplify]: Simplify (* 1 1) into 1
8.038 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.038 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.038 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.038 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.038 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.038 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.038 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.039 * [taylor]: Taking taylor expansion of 1.0 in beta
8.039 * [backup-simplify]: Simplify 1.0 into 1.0
8.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.039 * [taylor]: Taking taylor expansion of 1.0 in i
8.039 * [backup-simplify]: Simplify 1.0 into 1.0
8.039 * [backup-simplify]: Simplify 1.0 into 1.0
8.039 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.040 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.040 * [backup-simplify]: Simplify (+ 0 0) into 0
8.040 * [backup-simplify]: Simplify (+ 0 0) into 0
8.041 * [backup-simplify]: Simplify (+ 1 0) into 1
8.041 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.042 * [backup-simplify]: Simplify (+ 0 0) into 0
8.042 * [backup-simplify]: Simplify (+ 1 0) into 1
8.042 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
8.044 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
8.047 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
8.050 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
8.050 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
8.050 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
8.050 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.050 * [taylor]: Taking taylor expansion of 4.0 in beta
8.050 * [backup-simplify]: Simplify 4.0 into 4.0
8.050 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.050 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.050 * [taylor]: Taking taylor expansion of i in beta
8.050 * [backup-simplify]: Simplify i into i
8.050 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.050 * [taylor]: Taking taylor expansion of beta in beta
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify 1 into 1
8.050 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.050 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.050 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.050 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.050 * [taylor]: Taking taylor expansion of 2.0 in beta
8.050 * [backup-simplify]: Simplify 2.0 into 2.0
8.050 * [taylor]: Taking taylor expansion of i in beta
8.050 * [backup-simplify]: Simplify i into i
8.051 * [taylor]: Taking taylor expansion of beta in beta
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 1 into 1
8.051 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.051 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.051 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.051 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.051 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.051 * [taylor]: Taking taylor expansion of 2.0 in beta
8.051 * [backup-simplify]: Simplify 2.0 into 2.0
8.051 * [taylor]: Taking taylor expansion of i in beta
8.051 * [backup-simplify]: Simplify i into i
8.051 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.051 * [taylor]: Taking taylor expansion of beta in beta
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 1 into 1
8.051 * [taylor]: Taking taylor expansion of 2.0 in beta
8.051 * [backup-simplify]: Simplify 2.0 into 2.0
8.051 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.052 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.052 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.052 * [backup-simplify]: Simplify (* 1 1) into 1
8.052 * [backup-simplify]: Simplify (* i 1) into i
8.052 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.052 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.053 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.053 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.053 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
8.054 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.054 * [taylor]: Taking taylor expansion of 2 in beta
8.054 * [backup-simplify]: Simplify 2 into 2
8.054 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.054 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.054 * [taylor]: Taking taylor expansion of beta in beta
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 1 into 1
8.054 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.054 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.054 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.054 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.054 * [taylor]: Taking taylor expansion of 2.0 in beta
8.054 * [backup-simplify]: Simplify 2.0 into 2.0
8.054 * [taylor]: Taking taylor expansion of i in beta
8.054 * [backup-simplify]: Simplify i into i
8.054 * [taylor]: Taking taylor expansion of beta in beta
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 1 into 1
8.054 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.054 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.054 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.054 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.054 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.054 * [taylor]: Taking taylor expansion of 2.0 in beta
8.054 * [backup-simplify]: Simplify 2.0 into 2.0
8.054 * [taylor]: Taking taylor expansion of i in beta
8.054 * [backup-simplify]: Simplify i into i
8.054 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.054 * [taylor]: Taking taylor expansion of beta in beta
8.054 * [backup-simplify]: Simplify 0 into 0
8.055 * [backup-simplify]: Simplify 1 into 1
8.055 * [taylor]: Taking taylor expansion of 2.0 in beta
8.055 * [backup-simplify]: Simplify 2.0 into 2.0
8.055 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.055 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.055 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.056 * [backup-simplify]: Simplify (* 1 1) into 1
8.056 * [backup-simplify]: Simplify (* 1 1) into 1
8.056 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.057 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.057 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.057 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.057 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.057 * [taylor]: Taking taylor expansion of 2.0 in beta
8.057 * [backup-simplify]: Simplify 2.0 into 2.0
8.057 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.057 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.057 * [taylor]: Taking taylor expansion of beta in beta
8.057 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.058 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.058 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.058 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.058 * [taylor]: Taking taylor expansion of 2.0 in beta
8.058 * [backup-simplify]: Simplify 2.0 into 2.0
8.058 * [taylor]: Taking taylor expansion of i in beta
8.058 * [backup-simplify]: Simplify i into i
8.058 * [taylor]: Taking taylor expansion of beta in beta
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.058 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.058 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.058 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.058 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.058 * [taylor]: Taking taylor expansion of 2.0 in beta
8.058 * [backup-simplify]: Simplify 2.0 into 2.0
8.058 * [taylor]: Taking taylor expansion of i in beta
8.058 * [backup-simplify]: Simplify i into i
8.058 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.058 * [taylor]: Taking taylor expansion of beta in beta
8.058 * [backup-simplify]: Simplify 0 into 0
8.058 * [backup-simplify]: Simplify 1 into 1
8.058 * [taylor]: Taking taylor expansion of 2.0 in beta
8.058 * [backup-simplify]: Simplify 2.0 into 2.0
8.058 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.059 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.059 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.060 * [backup-simplify]: Simplify (* 1 1) into 1
8.060 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.060 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.060 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.061 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.061 * [backup-simplify]: Simplify (+ 0 0) into 0
8.061 * [taylor]: Taking taylor expansion of 0 in i
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.061 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
8.062 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.063 * [backup-simplify]: Simplify (+ 0 0) into 0
8.063 * [backup-simplify]: Simplify (+ 0 0) into 0
8.063 * [backup-simplify]: Simplify (+ 0 0) into 0
8.064 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.064 * [backup-simplify]: Simplify (+ 0 0) into 0
8.065 * [backup-simplify]: Simplify (+ 0 0) into 0
8.065 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
8.069 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
8.074 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
8.074 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
8.082 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
8.082 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
8.082 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
8.082 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.082 * [taylor]: Taking taylor expansion of 16.0 in beta
8.082 * [backup-simplify]: Simplify 16.0 into 16.0
8.082 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.082 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
8.082 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.082 * [taylor]: Taking taylor expansion of i in beta
8.082 * [backup-simplify]: Simplify i into i
8.082 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.082 * [taylor]: Taking taylor expansion of beta in beta
8.082 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.083 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.083 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.083 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.083 * [taylor]: Taking taylor expansion of 2.0 in beta
8.083 * [backup-simplify]: Simplify 2.0 into 2.0
8.083 * [taylor]: Taking taylor expansion of i in beta
8.083 * [backup-simplify]: Simplify i into i
8.083 * [taylor]: Taking taylor expansion of beta in beta
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.083 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.083 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.083 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.083 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.083 * [taylor]: Taking taylor expansion of 2.0 in beta
8.083 * [backup-simplify]: Simplify 2.0 into 2.0
8.083 * [taylor]: Taking taylor expansion of i in beta
8.083 * [backup-simplify]: Simplify i into i
8.083 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.083 * [taylor]: Taking taylor expansion of beta in beta
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [taylor]: Taking taylor expansion of 2.0 in beta
8.083 * [backup-simplify]: Simplify 2.0 into 2.0
8.083 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.084 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.084 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.084 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.084 * [backup-simplify]: Simplify (* 1 1) into 1
8.084 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.084 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.084 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.084 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.084 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.085 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.085 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
8.085 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
8.085 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.085 * [taylor]: Taking taylor expansion of 4 in beta
8.085 * [backup-simplify]: Simplify 4 into 4
8.085 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.085 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.085 * [taylor]: Taking taylor expansion of beta in beta
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.085 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.085 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.085 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.085 * [taylor]: Taking taylor expansion of 2.0 in beta
8.085 * [backup-simplify]: Simplify 2.0 into 2.0
8.085 * [taylor]: Taking taylor expansion of i in beta
8.085 * [backup-simplify]: Simplify i into i
8.085 * [taylor]: Taking taylor expansion of beta in beta
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.085 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.085 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.085 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.085 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.085 * [taylor]: Taking taylor expansion of 2.0 in beta
8.085 * [backup-simplify]: Simplify 2.0 into 2.0
8.085 * [taylor]: Taking taylor expansion of i in beta
8.086 * [backup-simplify]: Simplify i into i
8.086 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.086 * [taylor]: Taking taylor expansion of beta in beta
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [taylor]: Taking taylor expansion of 2.0 in beta
8.086 * [backup-simplify]: Simplify 2.0 into 2.0
8.086 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.086 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.086 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.086 * [backup-simplify]: Simplify (* 1 1) into 1
8.087 * [backup-simplify]: Simplify (* 1 1) into 1
8.087 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.087 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.087 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.087 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.087 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.087 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.087 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
8.087 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.087 * [taylor]: Taking taylor expansion of 8.0 in beta
8.087 * [backup-simplify]: Simplify 8.0 into 8.0
8.088 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.088 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.088 * [taylor]: Taking taylor expansion of beta in beta
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.088 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.088 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.088 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.088 * [taylor]: Taking taylor expansion of 2.0 in beta
8.088 * [backup-simplify]: Simplify 2.0 into 2.0
8.088 * [taylor]: Taking taylor expansion of i in beta
8.088 * [backup-simplify]: Simplify i into i
8.088 * [taylor]: Taking taylor expansion of beta in beta
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.088 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.088 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.088 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.088 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.088 * [taylor]: Taking taylor expansion of 2.0 in beta
8.088 * [backup-simplify]: Simplify 2.0 into 2.0
8.088 * [taylor]: Taking taylor expansion of i in beta
8.088 * [backup-simplify]: Simplify i into i
8.088 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.088 * [taylor]: Taking taylor expansion of beta in beta
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [taylor]: Taking taylor expansion of 2.0 in beta
8.088 * [backup-simplify]: Simplify 2.0 into 2.0
8.088 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.088 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.088 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.089 * [backup-simplify]: Simplify (* 1 1) into 1
8.089 * [backup-simplify]: Simplify (* 1 1) into 1
8.089 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.089 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.089 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.089 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.090 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.090 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.090 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
8.090 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.090 * [taylor]: Taking taylor expansion of 16.0 in beta
8.090 * [backup-simplify]: Simplify 16.0 into 16.0
8.090 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.090 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
8.090 * [taylor]: Taking taylor expansion of i in beta
8.090 * [backup-simplify]: Simplify i into i
8.090 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.090 * [taylor]: Taking taylor expansion of beta in beta
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify 1 into 1
8.090 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.090 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.090 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.090 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.090 * [taylor]: Taking taylor expansion of 2.0 in beta
8.090 * [backup-simplify]: Simplify 2.0 into 2.0
8.090 * [taylor]: Taking taylor expansion of i in beta
8.090 * [backup-simplify]: Simplify i into i
8.090 * [taylor]: Taking taylor expansion of beta in beta
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify 1 into 1
8.090 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.090 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.090 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.090 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.090 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.090 * [taylor]: Taking taylor expansion of 2.0 in beta
8.090 * [backup-simplify]: Simplify 2.0 into 2.0
8.090 * [taylor]: Taking taylor expansion of i in beta
8.090 * [backup-simplify]: Simplify i into i
8.090 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.090 * [taylor]: Taking taylor expansion of beta in beta
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify 1 into 1
8.091 * [taylor]: Taking taylor expansion of 2.0 in beta
8.091 * [backup-simplify]: Simplify 2.0 into 2.0
8.091 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.091 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.091 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.091 * [backup-simplify]: Simplify (* 1 1) into 1
8.091 * [backup-simplify]: Simplify (* 1 1) into 1
8.091 * [backup-simplify]: Simplify (* i 1) into i
8.092 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.092 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.092 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.092 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.092 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.092 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.092 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
8.092 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.092 * [taylor]: Taking taylor expansion of 16.0 in beta
8.092 * [backup-simplify]: Simplify 16.0 into 16.0
8.092 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.092 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.092 * [taylor]: Taking taylor expansion of i in beta
8.092 * [backup-simplify]: Simplify i into i
8.092 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.092 * [taylor]: Taking taylor expansion of beta in beta
8.093 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify 1 into 1
8.093 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.093 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.093 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.093 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.093 * [taylor]: Taking taylor expansion of 2.0 in beta
8.093 * [backup-simplify]: Simplify 2.0 into 2.0
8.093 * [taylor]: Taking taylor expansion of i in beta
8.093 * [backup-simplify]: Simplify i into i
8.093 * [taylor]: Taking taylor expansion of beta in beta
8.093 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify 1 into 1
8.093 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.093 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.093 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.093 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.093 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.093 * [taylor]: Taking taylor expansion of 2.0 in beta
8.093 * [backup-simplify]: Simplify 2.0 into 2.0
8.093 * [taylor]: Taking taylor expansion of i in beta
8.093 * [backup-simplify]: Simplify i into i
8.093 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.093 * [taylor]: Taking taylor expansion of beta in beta
8.093 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify 1 into 1
8.093 * [taylor]: Taking taylor expansion of 2.0 in beta
8.093 * [backup-simplify]: Simplify 2.0 into 2.0
8.093 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.093 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.093 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.094 * [backup-simplify]: Simplify (* 1 1) into 1
8.094 * [backup-simplify]: Simplify (* i 1) into i
8.094 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.094 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.094 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.094 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.094 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.095 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.095 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.095 * [taylor]: Taking taylor expansion of 4.0 in beta
8.095 * [backup-simplify]: Simplify 4.0 into 4.0
8.095 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.095 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.095 * [taylor]: Taking taylor expansion of beta in beta
8.095 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify 1 into 1
8.095 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.095 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.095 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.095 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.095 * [taylor]: Taking taylor expansion of 2.0 in beta
8.095 * [backup-simplify]: Simplify 2.0 into 2.0
8.095 * [taylor]: Taking taylor expansion of i in beta
8.095 * [backup-simplify]: Simplify i into i
8.095 * [taylor]: Taking taylor expansion of beta in beta
8.095 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify 1 into 1
8.095 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.095 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.095 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.095 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.095 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.095 * [taylor]: Taking taylor expansion of 2.0 in beta
8.095 * [backup-simplify]: Simplify 2.0 into 2.0
8.095 * [taylor]: Taking taylor expansion of i in beta
8.095 * [backup-simplify]: Simplify i into i
8.095 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.095 * [taylor]: Taking taylor expansion of beta in beta
8.095 * [backup-simplify]: Simplify 0 into 0
8.095 * [backup-simplify]: Simplify 1 into 1
8.095 * [taylor]: Taking taylor expansion of 2.0 in beta
8.095 * [backup-simplify]: Simplify 2.0 into 2.0
8.095 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.096 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.096 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.096 * [backup-simplify]: Simplify (* 1 1) into 1
8.096 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.096 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.096 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.096 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.097 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.097 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.097 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.097 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.097 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.097 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.097 * [taylor]: Taking taylor expansion of 2.0 in beta
8.097 * [backup-simplify]: Simplify 2.0 into 2.0
8.097 * [taylor]: Taking taylor expansion of i in beta
8.097 * [backup-simplify]: Simplify i into i
8.098 * [taylor]: Taking taylor expansion of beta in beta
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 1 into 1
8.098 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.098 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.098 * [taylor]: Taking taylor expansion of 2.0 in beta
8.098 * [backup-simplify]: Simplify 2.0 into 2.0
8.098 * [taylor]: Taking taylor expansion of i in beta
8.098 * [backup-simplify]: Simplify i into i
8.098 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.098 * [taylor]: Taking taylor expansion of beta in beta
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 1 into 1
8.098 * [taylor]: Taking taylor expansion of 2.0 in beta
8.098 * [backup-simplify]: Simplify 2.0 into 2.0
8.098 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.098 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.098 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.099 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.099 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.099 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.099 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.099 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.099 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.099 * [taylor]: Taking taylor expansion of beta in beta
8.099 * [backup-simplify]: Simplify 0 into 0
8.099 * [backup-simplify]: Simplify 1 into 1
8.099 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.099 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.099 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.100 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.100 * [taylor]: Taking taylor expansion of 2.0 in beta
8.100 * [backup-simplify]: Simplify 2.0 into 2.0
8.100 * [taylor]: Taking taylor expansion of i in beta
8.100 * [backup-simplify]: Simplify i into i
8.100 * [taylor]: Taking taylor expansion of beta in beta
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify 1 into 1
8.100 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.100 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.100 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.100 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.100 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.100 * [taylor]: Taking taylor expansion of 2.0 in beta
8.100 * [backup-simplify]: Simplify 2.0 into 2.0
8.100 * [taylor]: Taking taylor expansion of i in beta
8.100 * [backup-simplify]: Simplify i into i
8.100 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.100 * [taylor]: Taking taylor expansion of beta in beta
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify 1 into 1
8.100 * [taylor]: Taking taylor expansion of 2.0 in beta
8.100 * [backup-simplify]: Simplify 2.0 into 2.0
8.100 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.101 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.101 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.102 * [backup-simplify]: Simplify (* 1 1) into 1
8.102 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.102 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.102 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.103 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.103 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
8.103 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.104 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.104 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
8.104 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
8.104 * [taylor]: Taking taylor expansion of 0.5 in i
8.104 * [backup-simplify]: Simplify 0.5 into 0.5
8.104 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
8.104 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.104 * [taylor]: Taking taylor expansion of i in i
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.104 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.104 * [taylor]: Taking taylor expansion of 2.0 in i
8.104 * [backup-simplify]: Simplify 2.0 into 2.0
8.104 * [taylor]: Taking taylor expansion of i in i
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of 2.0 in i
8.104 * [backup-simplify]: Simplify 2.0 into 2.0
8.105 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.105 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.105 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.106 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.106 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.107 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.107 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.108 * [backup-simplify]: Simplify (+ 0 0) into 0
8.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.111 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.112 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.113 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
8.113 * [backup-simplify]: Simplify 0.25 into 0.25
8.113 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
8.113 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
8.113 * [taylor]: Taking taylor expansion of 0.5 in i
8.113 * [backup-simplify]: Simplify 0.5 into 0.5
8.113 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
8.113 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.113 * [taylor]: Taking taylor expansion of i in i
8.113 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify 1 into 1
8.113 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.113 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.113 * [taylor]: Taking taylor expansion of 2.0 in i
8.113 * [backup-simplify]: Simplify 2.0 into 2.0
8.113 * [taylor]: Taking taylor expansion of i in i
8.113 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify 1 into 1
8.113 * [taylor]: Taking taylor expansion of 2.0 in i
8.113 * [backup-simplify]: Simplify 2.0 into 2.0
8.114 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.114 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.114 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.115 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.115 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.116 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.116 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.117 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.117 * [backup-simplify]: Simplify (+ 0 0) into 0
8.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.120 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.121 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.122 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
8.122 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
8.123 * [backup-simplify]: Simplify (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
8.123 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
8.123 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
8.123 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
8.123 * [taylor]: Taking taylor expansion of 1.0 in i
8.123 * [backup-simplify]: Simplify 1.0 into 1.0
8.123 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
8.123 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
8.123 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.123 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.123 * [taylor]: Taking taylor expansion of alpha in i
8.123 * [backup-simplify]: Simplify alpha into alpha
8.123 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.123 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.123 * [taylor]: Taking taylor expansion of 2.0 in i
8.123 * [backup-simplify]: Simplify 2.0 into 2.0
8.123 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.123 * [taylor]: Taking taylor expansion of i in i
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (/ 1 1) into 1
8.124 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.124 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.124 * [taylor]: Taking taylor expansion of beta in i
8.124 * [backup-simplify]: Simplify beta into beta
8.124 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.124 * [taylor]: Taking taylor expansion of 2.0 in i
8.124 * [backup-simplify]: Simplify 2.0 into 2.0
8.124 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
8.124 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.124 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.124 * [taylor]: Taking taylor expansion of alpha in i
8.124 * [backup-simplify]: Simplify alpha into alpha
8.124 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.124 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.124 * [taylor]: Taking taylor expansion of 2.0 in i
8.124 * [backup-simplify]: Simplify 2.0 into 2.0
8.124 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.124 * [taylor]: Taking taylor expansion of i in i
8.124 * [backup-simplify]: Simplify 0 into 0
8.124 * [backup-simplify]: Simplify 1 into 1
8.124 * [backup-simplify]: Simplify (/ 1 1) into 1
8.124 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.124 * [taylor]: Taking taylor expansion of beta in i
8.124 * [backup-simplify]: Simplify beta into beta
8.124 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.124 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.124 * [taylor]: Taking taylor expansion of beta in i
8.124 * [backup-simplify]: Simplify beta into beta
8.125 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.125 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.125 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.125 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.126 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.126 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.126 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.126 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
8.126 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
8.126 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
8.126 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
8.126 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
8.127 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.127 * [taylor]: Taking taylor expansion of alpha in i
8.127 * [backup-simplify]: Simplify alpha into alpha
8.127 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
8.127 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.127 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.127 * [taylor]: Taking taylor expansion of alpha in i
8.127 * [backup-simplify]: Simplify alpha into alpha
8.127 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.127 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.127 * [taylor]: Taking taylor expansion of 2.0 in i
8.127 * [backup-simplify]: Simplify 2.0 into 2.0
8.127 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.127 * [taylor]: Taking taylor expansion of i in i
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 1 into 1
8.127 * [backup-simplify]: Simplify (/ 1 1) into 1
8.127 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.127 * [taylor]: Taking taylor expansion of beta in i
8.127 * [backup-simplify]: Simplify beta into beta
8.127 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.127 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.127 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.127 * [taylor]: Taking taylor expansion of alpha in i
8.127 * [backup-simplify]: Simplify alpha into alpha
8.127 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.127 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.127 * [taylor]: Taking taylor expansion of 2.0 in i
8.127 * [backup-simplify]: Simplify 2.0 into 2.0
8.127 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.127 * [taylor]: Taking taylor expansion of i in i
8.127 * [backup-simplify]: Simplify 0 into 0
8.127 * [backup-simplify]: Simplify 1 into 1
8.128 * [backup-simplify]: Simplify (/ 1 1) into 1
8.128 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.128 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.128 * [taylor]: Taking taylor expansion of beta in i
8.128 * [backup-simplify]: Simplify beta into beta
8.128 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.128 * [taylor]: Taking taylor expansion of 2.0 in i
8.128 * [backup-simplify]: Simplify 2.0 into 2.0
8.128 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.128 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.128 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.129 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.129 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.129 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.129 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.130 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.130 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
8.130 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
8.130 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
8.130 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
8.130 * [taylor]: Taking taylor expansion of 1.0 in beta
8.130 * [backup-simplify]: Simplify 1.0 into 1.0
8.130 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
8.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
8.130 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.130 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.130 * [taylor]: Taking taylor expansion of alpha in beta
8.130 * [backup-simplify]: Simplify alpha into alpha
8.130 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.130 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.130 * [taylor]: Taking taylor expansion of 2.0 in beta
8.130 * [backup-simplify]: Simplify 2.0 into 2.0
8.130 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.130 * [taylor]: Taking taylor expansion of i in beta
8.130 * [backup-simplify]: Simplify i into i
8.130 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.130 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.130 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.130 * [taylor]: Taking taylor expansion of beta in beta
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify 1 into 1
8.131 * [backup-simplify]: Simplify (/ 1 1) into 1
8.131 * [taylor]: Taking taylor expansion of 2.0 in beta
8.131 * [backup-simplify]: Simplify 2.0 into 2.0
8.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
8.131 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.131 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.131 * [taylor]: Taking taylor expansion of alpha in beta
8.131 * [backup-simplify]: Simplify alpha into alpha
8.131 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.131 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.131 * [taylor]: Taking taylor expansion of 2.0 in beta
8.131 * [backup-simplify]: Simplify 2.0 into 2.0
8.131 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.131 * [taylor]: Taking taylor expansion of i in beta
8.131 * [backup-simplify]: Simplify i into i
8.131 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.131 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.131 * [taylor]: Taking taylor expansion of beta in beta
8.131 * [backup-simplify]: Simplify 0 into 0
8.131 * [backup-simplify]: Simplify 1 into 1
8.131 * [backup-simplify]: Simplify (/ 1 1) into 1
8.131 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.131 * [taylor]: Taking taylor expansion of beta in beta
8.131 * [backup-simplify]: Simplify 0 into 0
8.131 * [backup-simplify]: Simplify 1 into 1
8.132 * [backup-simplify]: Simplify (+ 1 0) into 1
8.132 * [backup-simplify]: Simplify (+ 0 1) into 1
8.132 * [backup-simplify]: Simplify (+ 0 1) into 1
8.133 * [backup-simplify]: Simplify (+ 0 1) into 1
8.133 * [backup-simplify]: Simplify (+ 0 1) into 1
8.133 * [backup-simplify]: Simplify (* 1 1) into 1
8.133 * [backup-simplify]: Simplify (* 1 1) into 1
8.133 * [backup-simplify]: Simplify (* 1 1) into 1
8.134 * [backup-simplify]: Simplify (/ 1 1) into 1
8.134 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
8.134 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
8.134 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.134 * [taylor]: Taking taylor expansion of alpha in beta
8.134 * [backup-simplify]: Simplify alpha into alpha
8.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
8.134 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.134 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.134 * [taylor]: Taking taylor expansion of alpha in beta
8.134 * [backup-simplify]: Simplify alpha into alpha
8.134 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.134 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.134 * [taylor]: Taking taylor expansion of 2.0 in beta
8.134 * [backup-simplify]: Simplify 2.0 into 2.0
8.134 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.134 * [taylor]: Taking taylor expansion of i in beta
8.134 * [backup-simplify]: Simplify i into i
8.134 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.134 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.134 * [taylor]: Taking taylor expansion of beta in beta
8.134 * [backup-simplify]: Simplify 0 into 0
8.134 * [backup-simplify]: Simplify 1 into 1
8.134 * [backup-simplify]: Simplify (/ 1 1) into 1
8.134 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.134 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.134 * [taylor]: Taking taylor expansion of alpha in beta
8.135 * [backup-simplify]: Simplify alpha into alpha
8.135 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.135 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.135 * [taylor]: Taking taylor expansion of 2.0 in beta
8.135 * [backup-simplify]: Simplify 2.0 into 2.0
8.135 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.135 * [taylor]: Taking taylor expansion of i in beta
8.135 * [backup-simplify]: Simplify i into i
8.135 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.135 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.135 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.135 * [taylor]: Taking taylor expansion of beta in beta
8.135 * [backup-simplify]: Simplify 0 into 0
8.135 * [backup-simplify]: Simplify 1 into 1
8.135 * [backup-simplify]: Simplify (/ 1 1) into 1
8.135 * [taylor]: Taking taylor expansion of 2.0 in beta
8.135 * [backup-simplify]: Simplify 2.0 into 2.0
8.135 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.135 * [backup-simplify]: Simplify (+ 0 1) into 1
8.136 * [backup-simplify]: Simplify (+ 0 1) into 1
8.136 * [backup-simplify]: Simplify (+ 1 0) into 1
8.136 * [backup-simplify]: Simplify (+ 0 1) into 1
8.137 * [backup-simplify]: Simplify (+ 0 1) into 1
8.137 * [backup-simplify]: Simplify (* 1 1) into 1
8.137 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
8.137 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
8.137 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
8.137 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
8.137 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.137 * [backup-simplify]: Simplify 1.0 into 1.0
8.137 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
8.137 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.138 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.138 * [taylor]: Taking taylor expansion of alpha in alpha
8.138 * [backup-simplify]: Simplify 0 into 0
8.138 * [backup-simplify]: Simplify 1 into 1
8.138 * [backup-simplify]: Simplify (/ 1 1) into 1
8.138 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.138 * [backup-simplify]: Simplify 2.0 into 2.0
8.138 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.138 * [taylor]: Taking taylor expansion of i in alpha
8.138 * [backup-simplify]: Simplify i into i
8.138 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.138 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.138 * [taylor]: Taking taylor expansion of beta in alpha
8.138 * [backup-simplify]: Simplify beta into beta
8.138 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.139 * [backup-simplify]: Simplify 2.0 into 2.0
8.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.139 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.139 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.139 * [taylor]: Taking taylor expansion of alpha in alpha
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [backup-simplify]: Simplify (/ 1 1) into 1
8.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.139 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.139 * [backup-simplify]: Simplify 2.0 into 2.0
8.139 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.139 * [taylor]: Taking taylor expansion of i in alpha
8.139 * [backup-simplify]: Simplify i into i
8.139 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.139 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.139 * [taylor]: Taking taylor expansion of beta in alpha
8.139 * [backup-simplify]: Simplify beta into beta
8.139 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.139 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.140 * [taylor]: Taking taylor expansion of beta in alpha
8.140 * [backup-simplify]: Simplify beta into beta
8.140 * [backup-simplify]: Simplify (+ 1 0) into 1
8.140 * [backup-simplify]: Simplify (+ 1 0) into 1
8.141 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.141 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.141 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.141 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
8.141 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
8.141 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
8.141 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.141 * [taylor]: Taking taylor expansion of alpha in alpha
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 1 into 1
8.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
8.141 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.141 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.141 * [taylor]: Taking taylor expansion of alpha in alpha
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 1 into 1
8.142 * [backup-simplify]: Simplify (/ 1 1) into 1
8.142 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.142 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.142 * [backup-simplify]: Simplify 2.0 into 2.0
8.142 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.142 * [taylor]: Taking taylor expansion of i in alpha
8.142 * [backup-simplify]: Simplify i into i
8.142 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.142 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.142 * [taylor]: Taking taylor expansion of beta in alpha
8.142 * [backup-simplify]: Simplify beta into beta
8.142 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.142 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.142 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.142 * [taylor]: Taking taylor expansion of alpha in alpha
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.143 * [backup-simplify]: Simplify (/ 1 1) into 1
8.143 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.143 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.143 * [backup-simplify]: Simplify 2.0 into 2.0
8.143 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.143 * [taylor]: Taking taylor expansion of i in alpha
8.143 * [backup-simplify]: Simplify i into i
8.143 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.143 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.143 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.143 * [taylor]: Taking taylor expansion of beta in alpha
8.143 * [backup-simplify]: Simplify beta into beta
8.143 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.143 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.143 * [backup-simplify]: Simplify 2.0 into 2.0
8.144 * [backup-simplify]: Simplify (* 1 1) into 1
8.144 * [backup-simplify]: Simplify (+ 1 0) into 1
8.144 * [backup-simplify]: Simplify (+ 1 0) into 1
8.145 * [backup-simplify]: Simplify (* 1 1) into 1
8.145 * [backup-simplify]: Simplify (* 1 1) into 1
8.145 * [backup-simplify]: Simplify (/ 1 1) into 1
8.145 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
8.146 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
8.146 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.146 * [backup-simplify]: Simplify 1.0 into 1.0
8.146 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
8.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
8.146 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.146 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.146 * [taylor]: Taking taylor expansion of alpha in alpha
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [backup-simplify]: Simplify (/ 1 1) into 1
8.146 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.146 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.146 * [backup-simplify]: Simplify 2.0 into 2.0
8.146 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.146 * [taylor]: Taking taylor expansion of i in alpha
8.147 * [backup-simplify]: Simplify i into i
8.147 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.147 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.147 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.147 * [taylor]: Taking taylor expansion of beta in alpha
8.147 * [backup-simplify]: Simplify beta into beta
8.147 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.147 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.147 * [backup-simplify]: Simplify 2.0 into 2.0
8.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.147 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.147 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.147 * [taylor]: Taking taylor expansion of alpha in alpha
8.147 * [backup-simplify]: Simplify 0 into 0
8.147 * [backup-simplify]: Simplify 1 into 1
8.147 * [backup-simplify]: Simplify (/ 1 1) into 1
8.147 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.148 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.148 * [backup-simplify]: Simplify 2.0 into 2.0
8.148 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.148 * [taylor]: Taking taylor expansion of i in alpha
8.148 * [backup-simplify]: Simplify i into i
8.148 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.148 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.148 * [taylor]: Taking taylor expansion of beta in alpha
8.148 * [backup-simplify]: Simplify beta into beta
8.148 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.148 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.148 * [taylor]: Taking taylor expansion of beta in alpha
8.148 * [backup-simplify]: Simplify beta into beta
8.148 * [backup-simplify]: Simplify (+ 1 0) into 1
8.149 * [backup-simplify]: Simplify (+ 1 0) into 1
8.149 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.149 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.149 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.149 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
8.149 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
8.150 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
8.150 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.150 * [taylor]: Taking taylor expansion of alpha in alpha
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
8.150 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.150 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.150 * [taylor]: Taking taylor expansion of alpha in alpha
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.150 * [backup-simplify]: Simplify (/ 1 1) into 1
8.150 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.150 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.151 * [backup-simplify]: Simplify 2.0 into 2.0
8.151 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.151 * [taylor]: Taking taylor expansion of i in alpha
8.151 * [backup-simplify]: Simplify i into i
8.151 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.151 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.151 * [taylor]: Taking taylor expansion of beta in alpha
8.151 * [backup-simplify]: Simplify beta into beta
8.151 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.151 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.151 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.151 * [taylor]: Taking taylor expansion of alpha in alpha
8.151 * [backup-simplify]: Simplify 0 into 0
8.151 * [backup-simplify]: Simplify 1 into 1
8.151 * [backup-simplify]: Simplify (/ 1 1) into 1
8.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.151 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.152 * [backup-simplify]: Simplify 2.0 into 2.0
8.152 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.152 * [taylor]: Taking taylor expansion of i in alpha
8.152 * [backup-simplify]: Simplify i into i
8.152 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.152 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.152 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.152 * [taylor]: Taking taylor expansion of beta in alpha
8.152 * [backup-simplify]: Simplify beta into beta
8.152 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.152 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.152 * [backup-simplify]: Simplify 2.0 into 2.0
8.152 * [backup-simplify]: Simplify (* 1 1) into 1
8.153 * [backup-simplify]: Simplify (+ 1 0) into 1
8.153 * [backup-simplify]: Simplify (+ 1 0) into 1
8.153 * [backup-simplify]: Simplify (* 1 1) into 1
8.154 * [backup-simplify]: Simplify (* 1 1) into 1
8.154 * [backup-simplify]: Simplify (/ 1 1) into 1
8.155 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.155 * [backup-simplify]: Simplify (- 1) into -1
8.155 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
8.156 * [taylor]: Taking taylor expansion of 0 in beta
8.156 * [backup-simplify]: Simplify 0 into 0
8.156 * [taylor]: Taking taylor expansion of 0 in i
8.156 * [backup-simplify]: Simplify 0 into 0
8.156 * [backup-simplify]: Simplify 0 into 0
8.156 * [backup-simplify]: Simplify (+ 0 0) into 0
8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.157 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.157 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
8.157 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.157 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.158 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.158 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.159 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.159 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.161 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
8.161 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.162 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.162 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
8.162 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.162 * [taylor]: Taking taylor expansion of 4.0 in beta
8.162 * [backup-simplify]: Simplify 4.0 into 4.0
8.162 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.162 * [taylor]: Taking taylor expansion of i in beta
8.162 * [backup-simplify]: Simplify i into i
8.162 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.162 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
8.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.162 * [taylor]: Taking taylor expansion of 2 in beta
8.162 * [backup-simplify]: Simplify 2 into 2
8.162 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.162 * [taylor]: Taking taylor expansion of beta in beta
8.162 * [backup-simplify]: Simplify 0 into 0
8.162 * [backup-simplify]: Simplify 1 into 1
8.163 * [backup-simplify]: Simplify (/ 1 1) into 1
8.163 * [taylor]: Taking taylor expansion of 2.0 in beta
8.163 * [backup-simplify]: Simplify 2.0 into 2.0
8.163 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.165 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.165 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
8.165 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
8.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.166 * [taylor]: Taking taylor expansion of 4.0 in i
8.166 * [backup-simplify]: Simplify 4.0 into 4.0
8.166 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.166 * [taylor]: Taking taylor expansion of i in i
8.166 * [backup-simplify]: Simplify 0 into 0
8.166 * [backup-simplify]: Simplify 1 into 1
8.166 * [backup-simplify]: Simplify (/ 1 1) into 1
8.166 * [taylor]: Taking taylor expansion of 2.0 in i
8.166 * [backup-simplify]: Simplify 2.0 into 2.0
8.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.168 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.168 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.168 * [backup-simplify]: Simplify 2.0 into 2.0
8.168 * [taylor]: Taking taylor expansion of 0 in i
8.168 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify 0 into 0
8.168 * [backup-simplify]: Simplify 0 into 0
8.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.170 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.172 * [backup-simplify]: Simplify (+ 0 0) into 0
8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.174 * [backup-simplify]: Simplify (+ 0 0) into 0
8.174 * [backup-simplify]: Simplify (+ 0 0) into 0
8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
8.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.179 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
8.183 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
8.185 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
8.185 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
8.185 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
8.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.185 * [taylor]: Taking taylor expansion of 2 in beta
8.185 * [backup-simplify]: Simplify 2 into 2
8.185 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.185 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.185 * [taylor]: Taking taylor expansion of beta in beta
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 1 into 1
8.186 * [backup-simplify]: Simplify (* 1 1) into 1
8.186 * [backup-simplify]: Simplify (/ 1 1) into 1
8.186 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
8.186 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.186 * [taylor]: Taking taylor expansion of 12.0 in beta
8.186 * [backup-simplify]: Simplify 12.0 into 12.0
8.186 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.186 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.186 * [taylor]: Taking taylor expansion of i in beta
8.186 * [backup-simplify]: Simplify i into i
8.186 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.187 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.187 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
8.187 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.187 * [taylor]: Taking taylor expansion of 6.0 in beta
8.187 * [backup-simplify]: Simplify 6.0 into 6.0
8.187 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.187 * [taylor]: Taking taylor expansion of beta in beta
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 1 into 1
8.187 * [backup-simplify]: Simplify (/ 1 1) into 1
8.187 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
8.187 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.187 * [taylor]: Taking taylor expansion of 12.0 in beta
8.187 * [backup-simplify]: Simplify 12.0 into 12.0
8.187 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.187 * [taylor]: Taking taylor expansion of i in beta
8.187 * [backup-simplify]: Simplify i into i
8.187 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.188 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
8.188 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.188 * [taylor]: Taking taylor expansion of 12.0 in beta
8.188 * [backup-simplify]: Simplify 12.0 into 12.0
8.188 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.188 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.188 * [taylor]: Taking taylor expansion of i in beta
8.188 * [backup-simplify]: Simplify i into i
8.188 * [taylor]: Taking taylor expansion of beta in beta
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 1 into 1
8.188 * [backup-simplify]: Simplify (* i 0) into 0
8.188 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.188 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.188 * [taylor]: Taking taylor expansion of 4.0 in beta
8.189 * [backup-simplify]: Simplify 4.0 into 4.0
8.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.193 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.195 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.195 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.195 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.196 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.197 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.197 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
8.197 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
8.197 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
8.198 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
8.198 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
8.198 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
8.198 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
8.198 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.198 * [taylor]: Taking taylor expansion of 12.0 in i
8.198 * [backup-simplify]: Simplify 12.0 into 12.0
8.198 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.198 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.198 * [taylor]: Taking taylor expansion of i in i
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 1 into 1
8.199 * [backup-simplify]: Simplify (* 1 1) into 1
8.199 * [backup-simplify]: Simplify (/ 1 1) into 1
8.199 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
8.199 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.199 * [taylor]: Taking taylor expansion of 12.0 in i
8.199 * [backup-simplify]: Simplify 12.0 into 12.0
8.199 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.199 * [taylor]: Taking taylor expansion of i in i
8.199 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify 1 into 1
8.200 * [backup-simplify]: Simplify (/ 1 1) into 1
8.200 * [taylor]: Taking taylor expansion of 4.0 in i
8.200 * [backup-simplify]: Simplify 4.0 into 4.0
8.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.204 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
8.206 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.207 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.207 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.208 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.213 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [taylor]: Taking taylor expansion of 0 in i
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [taylor]: Taking taylor expansion of 0 in i
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify 0 into 0
8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.219 * [backup-simplify]: Simplify (+ 0 0) into 0
8.219 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify 0 into 0
8.219 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.220 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.220 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.221 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.221 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
8.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.222 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.222 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
8.223 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.223 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.224 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
8.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
8.226 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.229 * [backup-simplify]: Simplify (+ 0 0) into 0
8.229 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (+ 0 0) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.232 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.232 * [backup-simplify]: Simplify (+ 0 0) into 0
8.233 * [backup-simplify]: Simplify (+ 0 0) into 0
8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
8.241 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
8.243 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
8.243 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
8.243 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
8.243 * [taylor]: Taking taylor expansion of 20.0 in beta
8.243 * [backup-simplify]: Simplify 20.0 into 20.0
8.243 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
8.243 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.244 * [taylor]: Taking taylor expansion of i in beta
8.244 * [backup-simplify]: Simplify i into i
8.244 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.244 * [taylor]: Taking taylor expansion of beta in beta
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.244 * [backup-simplify]: Simplify (* 1 1) into 1
8.244 * [backup-simplify]: Simplify (* i 1) into i
8.244 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.244 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
8.244 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
8.244 * [taylor]: Taking taylor expansion of 48.0 in beta
8.244 * [backup-simplify]: Simplify 48.0 into 48.0
8.244 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.244 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.244 * [taylor]: Taking taylor expansion of i in beta
8.244 * [backup-simplify]: Simplify i into i
8.244 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.244 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.244 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
8.245 * [taylor]: Taking taylor expansion of 8.0 in beta
8.245 * [backup-simplify]: Simplify 8.0 into 8.0
8.245 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
8.245 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
8.245 * [taylor]: Taking taylor expansion of 10.0 in beta
8.245 * [backup-simplify]: Simplify 10.0 into 10.0
8.245 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.245 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.245 * [taylor]: Taking taylor expansion of beta in beta
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (* 1 1) into 1
8.245 * [backup-simplify]: Simplify (/ 1 1) into 1
8.245 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
8.245 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
8.245 * [taylor]: Taking taylor expansion of 48.0 in beta
8.245 * [backup-simplify]: Simplify 48.0 into 48.0
8.245 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.245 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.245 * [taylor]: Taking taylor expansion of i in beta
8.245 * [backup-simplify]: Simplify i into i
8.245 * [taylor]: Taking taylor expansion of beta in beta
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (* i 0) into 0
8.246 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.246 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.246 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
8.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
8.246 * [taylor]: Taking taylor expansion of 2 in beta
8.246 * [backup-simplify]: Simplify 2 into 2
8.246 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
8.246 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.246 * [taylor]: Taking taylor expansion of beta in beta
8.246 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (* 1 1) into 1
8.247 * [backup-simplify]: Simplify (* 1 1) into 1
8.247 * [backup-simplify]: Simplify (/ 1 1) into 1
8.247 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
8.247 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
8.247 * [taylor]: Taking taylor expansion of 48.0 in beta
8.247 * [backup-simplify]: Simplify 48.0 into 48.0
8.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
8.247 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
8.247 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.247 * [taylor]: Taking taylor expansion of i in beta
8.247 * [backup-simplify]: Simplify i into i
8.247 * [taylor]: Taking taylor expansion of beta in beta
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify 1 into 1
8.247 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.247 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
8.247 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.248 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
8.248 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.248 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
8.248 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
8.248 * [taylor]: Taking taylor expansion of 32.0 in beta
8.248 * [backup-simplify]: Simplify 32.0 into 32.0
8.248 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.248 * [taylor]: Taking taylor expansion of i in beta
8.248 * [backup-simplify]: Simplify i into i
8.248 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.248 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
8.248 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
8.248 * [taylor]: Taking taylor expansion of 16.0 in beta
8.248 * [backup-simplify]: Simplify 16.0 into 16.0
8.248 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.248 * [taylor]: Taking taylor expansion of beta in beta
8.248 * [backup-simplify]: Simplify 0 into 0
8.248 * [backup-simplify]: Simplify 1 into 1
8.249 * [backup-simplify]: Simplify (/ 1 1) into 1
8.249 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
8.249 * [taylor]: Taking taylor expansion of 32.0 in beta
8.249 * [backup-simplify]: Simplify 32.0 into 32.0
8.249 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
8.249 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.249 * [taylor]: Taking taylor expansion of i in beta
8.249 * [backup-simplify]: Simplify i into i
8.249 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.249 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.249 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
8.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.251 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
8.251 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
8.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.252 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.252 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
8.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.255 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
8.255 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.256 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
8.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.261 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
8.262 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.263 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.263 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
8.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.264 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
8.264 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
8.264 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
8.264 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
8.264 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.265 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.265 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.265 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.266 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
8.266 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
8.267 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
8.267 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
8.267 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.267 * [taylor]: Taking taylor expansion of 48.0 in i
8.267 * [backup-simplify]: Simplify 48.0 into 48.0
8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.267 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.267 * [taylor]: Taking taylor expansion of i in i
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.268 * [backup-simplify]: Simplify (* 1 1) into 1
8.269 * [backup-simplify]: Simplify (/ 1 1) into 1
8.269 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
8.269 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.269 * [taylor]: Taking taylor expansion of 32.0 in i
8.269 * [backup-simplify]: Simplify 32.0 into 32.0
8.269 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.269 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.269 * [taylor]: Taking taylor expansion of i in i
8.269 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify 1 into 1
8.269 * [backup-simplify]: Simplify (* 1 1) into 1
8.270 * [backup-simplify]: Simplify (* 1 1) into 1
8.270 * [backup-simplify]: Simplify (/ 1 1) into 1
8.270 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
8.270 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.270 * [taylor]: Taking taylor expansion of 32.0 in i
8.270 * [backup-simplify]: Simplify 32.0 into 32.0
8.270 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.270 * [taylor]: Taking taylor expansion of i in i
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 1 into 1
8.271 * [backup-simplify]: Simplify (/ 1 1) into 1
8.271 * [taylor]: Taking taylor expansion of 8.0 in i
8.271 * [backup-simplify]: Simplify 8.0 into 8.0
8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.276 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.284 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.285 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.286 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.286 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.286 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.286 * [backup-simplify]: Simplify 8.0 into 8.0
8.287 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
8.288 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
8.288 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
8.288 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
8.288 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
8.288 * [taylor]: Taking taylor expansion of 1.0 in i
8.288 * [backup-simplify]: Simplify 1.0 into 1.0
8.288 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
8.288 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.288 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.288 * [taylor]: Taking taylor expansion of alpha in i
8.288 * [backup-simplify]: Simplify alpha into alpha
8.288 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.288 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.288 * [taylor]: Taking taylor expansion of 2.0 in i
8.288 * [backup-simplify]: Simplify 2.0 into 2.0
8.288 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.288 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.288 * [taylor]: Taking taylor expansion of alpha in i
8.288 * [backup-simplify]: Simplify alpha into alpha
8.289 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.289 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.289 * [taylor]: Taking taylor expansion of 2.0 in i
8.289 * [backup-simplify]: Simplify 2.0 into 2.0
8.289 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.289 * [taylor]: Taking taylor expansion of i in i
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 1 into 1
8.289 * [backup-simplify]: Simplify (/ 1 1) into 1
8.289 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.289 * [taylor]: Taking taylor expansion of beta in i
8.289 * [backup-simplify]: Simplify beta into beta
8.289 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.289 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.289 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.289 * [taylor]: Taking taylor expansion of alpha in i
8.289 * [backup-simplify]: Simplify alpha into alpha
8.289 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.289 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.289 * [taylor]: Taking taylor expansion of 2.0 in i
8.289 * [backup-simplify]: Simplify 2.0 into 2.0
8.289 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.289 * [taylor]: Taking taylor expansion of i in i
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 1 into 1
8.290 * [backup-simplify]: Simplify (/ 1 1) into 1
8.290 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.290 * [taylor]: Taking taylor expansion of beta in i
8.290 * [backup-simplify]: Simplify beta into beta
8.290 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.290 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.290 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.290 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.291 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.291 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.291 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.292 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.292 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.292 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.293 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
8.293 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
8.293 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
8.293 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
8.293 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
8.293 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.293 * [taylor]: Taking taylor expansion of 2.0 in i
8.293 * [backup-simplify]: Simplify 2.0 into 2.0
8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.293 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.293 * [taylor]: Taking taylor expansion of alpha in i
8.293 * [backup-simplify]: Simplify alpha into alpha
8.293 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.293 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.293 * [taylor]: Taking taylor expansion of 2.0 in i
8.293 * [backup-simplify]: Simplify 2.0 into 2.0
8.293 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.293 * [taylor]: Taking taylor expansion of i in i
8.293 * [backup-simplify]: Simplify 0 into 0
8.293 * [backup-simplify]: Simplify 1 into 1
8.293 * [backup-simplify]: Simplify (/ 1 1) into 1
8.293 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.293 * [taylor]: Taking taylor expansion of beta in i
8.293 * [backup-simplify]: Simplify beta into beta
8.293 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
8.293 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.294 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.294 * [taylor]: Taking taylor expansion of alpha in i
8.294 * [backup-simplify]: Simplify alpha into alpha
8.294 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.294 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.294 * [taylor]: Taking taylor expansion of 2.0 in i
8.294 * [backup-simplify]: Simplify 2.0 into 2.0
8.294 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.294 * [taylor]: Taking taylor expansion of i in i
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 1 into 1
8.294 * [backup-simplify]: Simplify (/ 1 1) into 1
8.294 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.294 * [taylor]: Taking taylor expansion of beta in i
8.294 * [backup-simplify]: Simplify beta into beta
8.294 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.294 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.294 * [taylor]: Taking taylor expansion of beta in i
8.294 * [backup-simplify]: Simplify beta into beta
8.294 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.295 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.295 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.295 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.296 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.296 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.296 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.296 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.296 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.297 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
8.297 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
8.297 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
8.297 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
8.297 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
8.297 * [taylor]: Taking taylor expansion of 1.0 in beta
8.297 * [backup-simplify]: Simplify 1.0 into 1.0
8.297 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
8.297 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.297 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.297 * [taylor]: Taking taylor expansion of alpha in beta
8.297 * [backup-simplify]: Simplify alpha into alpha
8.297 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.297 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.297 * [taylor]: Taking taylor expansion of 2.0 in beta
8.297 * [backup-simplify]: Simplify 2.0 into 2.0
8.297 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.297 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.297 * [taylor]: Taking taylor expansion of alpha in beta
8.297 * [backup-simplify]: Simplify alpha into alpha
8.297 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.297 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.297 * [taylor]: Taking taylor expansion of 2.0 in beta
8.297 * [backup-simplify]: Simplify 2.0 into 2.0
8.297 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.298 * [taylor]: Taking taylor expansion of i in beta
8.298 * [backup-simplify]: Simplify i into i
8.298 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.298 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.298 * [taylor]: Taking taylor expansion of beta in beta
8.298 * [backup-simplify]: Simplify 0 into 0
8.298 * [backup-simplify]: Simplify 1 into 1
8.298 * [backup-simplify]: Simplify (/ 1 1) into 1
8.298 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.298 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.298 * [taylor]: Taking taylor expansion of alpha in beta
8.298 * [backup-simplify]: Simplify alpha into alpha
8.298 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.298 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.298 * [taylor]: Taking taylor expansion of 2.0 in beta
8.298 * [backup-simplify]: Simplify 2.0 into 2.0
8.298 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.298 * [taylor]: Taking taylor expansion of i in beta
8.298 * [backup-simplify]: Simplify i into i
8.298 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.298 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.298 * [taylor]: Taking taylor expansion of beta in beta
8.298 * [backup-simplify]: Simplify 0 into 0
8.298 * [backup-simplify]: Simplify 1 into 1
8.298 * [backup-simplify]: Simplify (/ 1 1) into 1
8.298 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.299 * [backup-simplify]: Simplify (+ 0 1) into 1
8.299 * [backup-simplify]: Simplify (+ 0 1) into 1
8.299 * [backup-simplify]: Simplify (- 1) into -1
8.299 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.300 * [backup-simplify]: Simplify (+ 0 1) into 1
8.300 * [backup-simplify]: Simplify (+ 0 1) into 1
8.300 * [backup-simplify]: Simplify (* -1 1) into -1
8.300 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
8.300 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
8.300 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
8.300 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
8.300 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.300 * [taylor]: Taking taylor expansion of 2.0 in beta
8.301 * [backup-simplify]: Simplify 2.0 into 2.0
8.301 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.301 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.301 * [taylor]: Taking taylor expansion of alpha in beta
8.301 * [backup-simplify]: Simplify alpha into alpha
8.301 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.301 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.301 * [taylor]: Taking taylor expansion of 2.0 in beta
8.301 * [backup-simplify]: Simplify 2.0 into 2.0
8.301 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.301 * [taylor]: Taking taylor expansion of i in beta
8.301 * [backup-simplify]: Simplify i into i
8.301 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.301 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.301 * [taylor]: Taking taylor expansion of beta in beta
8.301 * [backup-simplify]: Simplify 0 into 0
8.301 * [backup-simplify]: Simplify 1 into 1
8.301 * [backup-simplify]: Simplify (/ 1 1) into 1
8.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
8.301 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.301 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.301 * [taylor]: Taking taylor expansion of alpha in beta
8.301 * [backup-simplify]: Simplify alpha into alpha
8.301 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.301 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.301 * [taylor]: Taking taylor expansion of 2.0 in beta
8.301 * [backup-simplify]: Simplify 2.0 into 2.0
8.301 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.301 * [taylor]: Taking taylor expansion of i in beta
8.301 * [backup-simplify]: Simplify i into i
8.301 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.301 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.301 * [taylor]: Taking taylor expansion of beta in beta
8.301 * [backup-simplify]: Simplify 0 into 0
8.301 * [backup-simplify]: Simplify 1 into 1
8.302 * [backup-simplify]: Simplify (/ 1 1) into 1
8.302 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.302 * [taylor]: Taking taylor expansion of beta in beta
8.302 * [backup-simplify]: Simplify 0 into 0
8.302 * [backup-simplify]: Simplify 1 into 1
8.302 * [backup-simplify]: Simplify (+ 0 1) into 1
8.302 * [backup-simplify]: Simplify (+ 0 1) into 1
8.302 * [backup-simplify]: Simplify (- 1) into -1
8.303 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.303 * [backup-simplify]: Simplify (+ 0 1) into 1
8.303 * [backup-simplify]: Simplify (+ 0 1) into 1
8.303 * [backup-simplify]: Simplify (* 1 1) into 1
8.304 * [backup-simplify]: Simplify (* 1 1) into 1
8.304 * [backup-simplify]: Simplify (* -1 1) into -1
8.304 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.304 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
8.304 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
8.304 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.304 * [backup-simplify]: Simplify 1.0 into 1.0
8.304 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
8.304 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.304 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.304 * [taylor]: Taking taylor expansion of alpha in alpha
8.304 * [backup-simplify]: Simplify 0 into 0
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.304 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.304 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.304 * [backup-simplify]: Simplify 2.0 into 2.0
8.305 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.305 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.305 * [taylor]: Taking taylor expansion of alpha in alpha
8.305 * [backup-simplify]: Simplify 0 into 0
8.305 * [backup-simplify]: Simplify 1 into 1
8.305 * [backup-simplify]: Simplify (/ 1 1) into 1
8.305 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.305 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.305 * [backup-simplify]: Simplify 2.0 into 2.0
8.305 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.305 * [taylor]: Taking taylor expansion of i in alpha
8.305 * [backup-simplify]: Simplify i into i
8.305 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.305 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.305 * [taylor]: Taking taylor expansion of beta in alpha
8.305 * [backup-simplify]: Simplify beta into beta
8.305 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.305 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.305 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.305 * [taylor]: Taking taylor expansion of alpha in alpha
8.305 * [backup-simplify]: Simplify 0 into 0
8.305 * [backup-simplify]: Simplify 1 into 1
8.305 * [backup-simplify]: Simplify (/ 1 1) into 1
8.305 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.305 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.305 * [backup-simplify]: Simplify 2.0 into 2.0
8.305 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.306 * [taylor]: Taking taylor expansion of i in alpha
8.306 * [backup-simplify]: Simplify i into i
8.306 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.306 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.306 * [taylor]: Taking taylor expansion of beta in alpha
8.306 * [backup-simplify]: Simplify beta into beta
8.306 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.306 * [backup-simplify]: Simplify (* 1 1) into 1
8.306 * [backup-simplify]: Simplify (+ 1 0) into 1
8.306 * [backup-simplify]: Simplify (- 1) into -1
8.307 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.307 * [backup-simplify]: Simplify (+ 1 0) into 1
8.307 * [backup-simplify]: Simplify (* -1 1) into -1
8.307 * [backup-simplify]: Simplify (* 1 -1) into -1
8.308 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.308 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
8.308 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
8.308 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.308 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.308 * [backup-simplify]: Simplify 2.0 into 2.0
8.308 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.308 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.308 * [taylor]: Taking taylor expansion of alpha in alpha
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 1 into 1
8.308 * [backup-simplify]: Simplify (/ 1 1) into 1
8.308 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.308 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.308 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.308 * [backup-simplify]: Simplify 2.0 into 2.0
8.308 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.308 * [taylor]: Taking taylor expansion of i in alpha
8.308 * [backup-simplify]: Simplify i into i
8.308 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.308 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.308 * [taylor]: Taking taylor expansion of beta in alpha
8.308 * [backup-simplify]: Simplify beta into beta
8.308 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.308 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.308 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.308 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.308 * [taylor]: Taking taylor expansion of alpha in alpha
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 1 into 1
8.309 * [backup-simplify]: Simplify (/ 1 1) into 1
8.309 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.309 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.309 * [backup-simplify]: Simplify 2.0 into 2.0
8.309 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.309 * [taylor]: Taking taylor expansion of i in alpha
8.309 * [backup-simplify]: Simplify i into i
8.309 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.309 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.309 * [taylor]: Taking taylor expansion of beta in alpha
8.309 * [backup-simplify]: Simplify beta into beta
8.309 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.309 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.309 * [taylor]: Taking taylor expansion of beta in alpha
8.309 * [backup-simplify]: Simplify beta into beta
8.309 * [backup-simplify]: Simplify (+ 1 0) into 1
8.309 * [backup-simplify]: Simplify (- 1) into -1
8.310 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.310 * [backup-simplify]: Simplify (+ 1 0) into 1
8.310 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.310 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.310 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
8.310 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
8.310 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
8.310 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
8.310 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.310 * [backup-simplify]: Simplify 1.0 into 1.0
8.310 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
8.310 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.310 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.310 * [taylor]: Taking taylor expansion of alpha in alpha
8.310 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.311 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.311 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.311 * [backup-simplify]: Simplify 2.0 into 2.0
8.311 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.311 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.311 * [taylor]: Taking taylor expansion of alpha in alpha
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [backup-simplify]: Simplify (/ 1 1) into 1
8.311 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.311 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.311 * [backup-simplify]: Simplify 2.0 into 2.0
8.311 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.311 * [taylor]: Taking taylor expansion of i in alpha
8.311 * [backup-simplify]: Simplify i into i
8.311 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.311 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.311 * [taylor]: Taking taylor expansion of beta in alpha
8.311 * [backup-simplify]: Simplify beta into beta
8.311 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.311 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.311 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.311 * [taylor]: Taking taylor expansion of alpha in alpha
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [backup-simplify]: Simplify (/ 1 1) into 1
8.311 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.312 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.312 * [backup-simplify]: Simplify 2.0 into 2.0
8.312 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.312 * [taylor]: Taking taylor expansion of i in alpha
8.312 * [backup-simplify]: Simplify i into i
8.312 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.312 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.312 * [taylor]: Taking taylor expansion of beta in alpha
8.312 * [backup-simplify]: Simplify beta into beta
8.312 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.312 * [backup-simplify]: Simplify (* 1 1) into 1
8.312 * [backup-simplify]: Simplify (+ 1 0) into 1
8.312 * [backup-simplify]: Simplify (- 1) into -1
8.313 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.313 * [backup-simplify]: Simplify (+ 1 0) into 1
8.313 * [backup-simplify]: Simplify (* -1 1) into -1
8.313 * [backup-simplify]: Simplify (* 1 -1) into -1
8.314 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.314 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
8.314 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
8.314 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.314 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.314 * [backup-simplify]: Simplify 2.0 into 2.0
8.314 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.314 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.314 * [taylor]: Taking taylor expansion of alpha in alpha
8.314 * [backup-simplify]: Simplify 0 into 0
8.314 * [backup-simplify]: Simplify 1 into 1
8.314 * [backup-simplify]: Simplify (/ 1 1) into 1
8.314 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.314 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.314 * [backup-simplify]: Simplify 2.0 into 2.0
8.314 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.314 * [taylor]: Taking taylor expansion of i in alpha
8.314 * [backup-simplify]: Simplify i into i
8.314 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.314 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.314 * [taylor]: Taking taylor expansion of beta in alpha
8.314 * [backup-simplify]: Simplify beta into beta
8.314 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.314 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.314 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.314 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.315 * [taylor]: Taking taylor expansion of alpha in alpha
8.315 * [backup-simplify]: Simplify 0 into 0
8.315 * [backup-simplify]: Simplify 1 into 1
8.315 * [backup-simplify]: Simplify (/ 1 1) into 1
8.315 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.315 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.315 * [backup-simplify]: Simplify 2.0 into 2.0
8.315 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.315 * [taylor]: Taking taylor expansion of i in alpha
8.315 * [backup-simplify]: Simplify i into i
8.315 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.315 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.315 * [taylor]: Taking taylor expansion of beta in alpha
8.315 * [backup-simplify]: Simplify beta into beta
8.315 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.315 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.315 * [taylor]: Taking taylor expansion of beta in alpha
8.315 * [backup-simplify]: Simplify beta into beta
8.315 * [backup-simplify]: Simplify (+ 1 0) into 1
8.316 * [backup-simplify]: Simplify (- 1) into -1
8.316 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.316 * [backup-simplify]: Simplify (+ 1 0) into 1
8.316 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.316 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.316 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
8.317 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
8.317 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
8.317 * [backup-simplify]: Simplify (+ 0 0) into 0
8.317 * [taylor]: Taking taylor expansion of 0 in beta
8.317 * [backup-simplify]: Simplify 0 into 0
8.318 * [taylor]: Taking taylor expansion of 0 in i
8.318 * [backup-simplify]: Simplify 0 into 0
8.318 * [backup-simplify]: Simplify 0 into 0
8.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.318 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.319 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.319 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.320 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.320 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.320 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.320 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.320 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.321 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
8.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.322 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
8.322 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.323 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.323 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.323 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
8.323 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
8.323 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.323 * [taylor]: Taking taylor expansion of 4.0 in beta
8.323 * [backup-simplify]: Simplify 4.0 into 4.0
8.323 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.323 * [taylor]: Taking taylor expansion of i in beta
8.323 * [backup-simplify]: Simplify i into i
8.323 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.323 * [taylor]: Taking taylor expansion of 2 in beta
8.323 * [backup-simplify]: Simplify 2 into 2
8.324 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.324 * [taylor]: Taking taylor expansion of beta in beta
8.324 * [backup-simplify]: Simplify 0 into 0
8.324 * [backup-simplify]: Simplify 1 into 1
8.324 * [backup-simplify]: Simplify (/ 1 1) into 1
8.324 * [taylor]: Taking taylor expansion of 2.0 in beta
8.324 * [backup-simplify]: Simplify 2.0 into 2.0
8.324 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.326 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
8.326 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.326 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
8.327 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
8.327 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.327 * [taylor]: Taking taylor expansion of 4.0 in i
8.327 * [backup-simplify]: Simplify 4.0 into 4.0
8.327 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.327 * [taylor]: Taking taylor expansion of i in i
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify 1 into 1
8.327 * [backup-simplify]: Simplify (/ 1 1) into 1
8.327 * [taylor]: Taking taylor expansion of 2.0 in i
8.327 * [backup-simplify]: Simplify 2.0 into 2.0
8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.329 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.329 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.330 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.330 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.330 * [taylor]: Taking taylor expansion of 0 in i
8.330 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.337 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.340 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.340 * [backup-simplify]: Simplify (+ 0 0) into 0
8.341 * [backup-simplify]: Simplify (+ 0 0) into 0
8.341 * [backup-simplify]: Simplify (- 0) into 0
8.341 * [backup-simplify]: Simplify (+ 0 0) into 0
8.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.346 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
8.347 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
8.349 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
8.349 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
8.350 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
8.350 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
8.350 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
8.350 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.350 * [taylor]: Taking taylor expansion of 12.0 in beta
8.350 * [backup-simplify]: Simplify 12.0 into 12.0
8.350 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.350 * [taylor]: Taking taylor expansion of i in beta
8.350 * [backup-simplify]: Simplify i into i
8.350 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.350 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.351 * [taylor]: Taking taylor expansion of 6.0 in beta
8.351 * [backup-simplify]: Simplify 6.0 into 6.0
8.351 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.351 * [taylor]: Taking taylor expansion of beta in beta
8.351 * [backup-simplify]: Simplify 0 into 0
8.351 * [backup-simplify]: Simplify 1 into 1
8.351 * [backup-simplify]: Simplify (/ 1 1) into 1
8.351 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
8.351 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.351 * [taylor]: Taking taylor expansion of 12.0 in beta
8.351 * [backup-simplify]: Simplify 12.0 into 12.0
8.351 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.351 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.351 * [taylor]: Taking taylor expansion of i in beta
8.351 * [backup-simplify]: Simplify i into i
8.352 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.352 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.352 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
8.352 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.352 * [taylor]: Taking taylor expansion of 12.0 in beta
8.352 * [backup-simplify]: Simplify 12.0 into 12.0
8.352 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.352 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.352 * [taylor]: Taking taylor expansion of i in beta
8.352 * [backup-simplify]: Simplify i into i
8.352 * [taylor]: Taking taylor expansion of beta in beta
8.352 * [backup-simplify]: Simplify 0 into 0
8.352 * [backup-simplify]: Simplify 1 into 1
8.352 * [backup-simplify]: Simplify (* i 0) into 0
8.352 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.353 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.353 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
8.353 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.353 * [taylor]: Taking taylor expansion of 2 in beta
8.353 * [backup-simplify]: Simplify 2 into 2
8.353 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.353 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.353 * [taylor]: Taking taylor expansion of beta in beta
8.353 * [backup-simplify]: Simplify 0 into 0
8.353 * [backup-simplify]: Simplify 1 into 1
8.353 * [backup-simplify]: Simplify (* 1 1) into 1
8.354 * [backup-simplify]: Simplify (/ 1 1) into 1
8.354 * [taylor]: Taking taylor expansion of 4.0 in beta
8.354 * [backup-simplify]: Simplify 4.0 into 4.0
8.354 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.355 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.355 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
8.356 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.356 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.357 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.361 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.362 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.362 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
8.363 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.363 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.363 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
8.363 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.363 * [taylor]: Taking taylor expansion of 12.0 in i
8.363 * [backup-simplify]: Simplify 12.0 into 12.0
8.363 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.363 * [taylor]: Taking taylor expansion of i in i
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (/ 1 1) into 1
8.364 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
8.364 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.364 * [taylor]: Taking taylor expansion of 12.0 in i
8.364 * [backup-simplify]: Simplify 12.0 into 12.0
8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.364 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.364 * [taylor]: Taking taylor expansion of i in i
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (* 1 1) into 1
8.365 * [backup-simplify]: Simplify (/ 1 1) into 1
8.365 * [taylor]: Taking taylor expansion of 4.0 in i
8.365 * [backup-simplify]: Simplify 4.0 into 4.0
8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.366 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
8.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.369 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
8.370 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.370 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.370 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
8.371 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.371 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.373 * [backup-simplify]: Simplify (+ 0 0) into 0
8.373 * [backup-simplify]: Simplify (- 0) into 0
8.373 * [backup-simplify]: Simplify (+ 0 0) into 0
8.373 * [taylor]: Taking taylor expansion of 0 in i
8.373 * [backup-simplify]: Simplify 0 into 0
8.373 * [backup-simplify]: Simplify 0 into 0
8.373 * [taylor]: Taking taylor expansion of 0 in i
8.373 * [backup-simplify]: Simplify 0 into 0
8.373 * [backup-simplify]: Simplify 0 into 0
8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.374 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.375 * [backup-simplify]: Simplify (- 0) into 0
8.375 * [backup-simplify]: Simplify (+ 0 0) into 0
8.375 * [backup-simplify]: Simplify 0 into 0
8.375 * [backup-simplify]: Simplify 0 into 0
8.375 * [backup-simplify]: Simplify 0 into 0
8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.377 * [backup-simplify]: Simplify (+ 0 0) into 0
8.377 * [backup-simplify]: Simplify (+ 0 0) into 0
8.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.378 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.378 * [backup-simplify]: Simplify (+ 0 0) into 0
8.378 * [backup-simplify]: Simplify (+ 0 0) into 0
8.379 * [backup-simplify]: Simplify (- 0) into 0
8.379 * [backup-simplify]: Simplify (+ 0 0) into 0
8.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
8.384 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
8.385 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
8.386 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.386 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.386 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.386 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.387 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.387 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.387 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.388 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.388 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.388 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.388 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
8.389 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
8.389 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
8.391 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
8.391 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
8.391 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
8.391 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
8.391 * [taylor]: Taking taylor expansion of 20.0 in beta
8.391 * [backup-simplify]: Simplify 20.0 into 20.0
8.391 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
8.391 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.391 * [taylor]: Taking taylor expansion of i in beta
8.391 * [backup-simplify]: Simplify i into i
8.391 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.391 * [taylor]: Taking taylor expansion of beta in beta
8.391 * [backup-simplify]: Simplify 0 into 0
8.391 * [backup-simplify]: Simplify 1 into 1
8.392 * [backup-simplify]: Simplify (* 1 1) into 1
8.392 * [backup-simplify]: Simplify (* i 1) into i
8.392 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.392 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
8.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
8.392 * [taylor]: Taking taylor expansion of 2 in beta
8.392 * [backup-simplify]: Simplify 2 into 2
8.392 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
8.392 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.392 * [taylor]: Taking taylor expansion of beta in beta
8.392 * [backup-simplify]: Simplify 0 into 0
8.392 * [backup-simplify]: Simplify 1 into 1
8.392 * [backup-simplify]: Simplify (* 1 1) into 1
8.393 * [backup-simplify]: Simplify (* 1 1) into 1
8.393 * [backup-simplify]: Simplify (/ 1 1) into 1
8.393 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
8.393 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
8.393 * [taylor]: Taking taylor expansion of 48.0 in beta
8.393 * [backup-simplify]: Simplify 48.0 into 48.0
8.393 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
8.393 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
8.393 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.393 * [taylor]: Taking taylor expansion of i in beta
8.393 * [backup-simplify]: Simplify i into i
8.393 * [taylor]: Taking taylor expansion of beta in beta
8.393 * [backup-simplify]: Simplify 0 into 0
8.393 * [backup-simplify]: Simplify 1 into 1
8.393 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.393 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
8.393 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.394 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
8.394 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.394 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
8.394 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
8.394 * [taylor]: Taking taylor expansion of 32.0 in beta
8.394 * [backup-simplify]: Simplify 32.0 into 32.0
8.394 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.394 * [taylor]: Taking taylor expansion of i in beta
8.394 * [backup-simplify]: Simplify i into i
8.394 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.394 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
8.394 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
8.394 * [taylor]: Taking taylor expansion of 16.0 in beta
8.394 * [backup-simplify]: Simplify 16.0 into 16.0
8.394 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.394 * [taylor]: Taking taylor expansion of beta in beta
8.394 * [backup-simplify]: Simplify 0 into 0
8.394 * [backup-simplify]: Simplify 1 into 1
8.394 * [backup-simplify]: Simplify (/ 1 1) into 1
8.394 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
8.394 * [taylor]: Taking taylor expansion of 32.0 in beta
8.394 * [backup-simplify]: Simplify 32.0 into 32.0
8.394 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
8.394 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.394 * [taylor]: Taking taylor expansion of i in beta
8.394 * [backup-simplify]: Simplify i into i
8.394 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.395 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.395 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
8.395 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
8.395 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
8.395 * [taylor]: Taking taylor expansion of 10.0 in beta
8.395 * [backup-simplify]: Simplify 10.0 into 10.0
8.395 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.395 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.395 * [taylor]: Taking taylor expansion of beta in beta
8.395 * [backup-simplify]: Simplify 0 into 0
8.395 * [backup-simplify]: Simplify 1 into 1
8.395 * [backup-simplify]: Simplify (* 1 1) into 1
8.396 * [backup-simplify]: Simplify (/ 1 1) into 1
8.396 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
8.396 * [taylor]: Taking taylor expansion of 8.0 in beta
8.396 * [backup-simplify]: Simplify 8.0 into 8.0
8.396 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
8.396 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
8.396 * [taylor]: Taking taylor expansion of 48.0 in beta
8.396 * [backup-simplify]: Simplify 48.0 into 48.0
8.396 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.396 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.396 * [taylor]: Taking taylor expansion of i in beta
8.396 * [backup-simplify]: Simplify i into i
8.396 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.396 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.396 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
8.396 * [taylor]: Taking taylor expansion of 48.0 in beta
8.396 * [backup-simplify]: Simplify 48.0 into 48.0
8.396 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.396 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.396 * [taylor]: Taking taylor expansion of i in beta
8.396 * [backup-simplify]: Simplify i into i
8.396 * [taylor]: Taking taylor expansion of beta in beta
8.396 * [backup-simplify]: Simplify 0 into 0
8.396 * [backup-simplify]: Simplify 1 into 1
8.396 * [backup-simplify]: Simplify (* i 0) into 0
8.396 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.396 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.398 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
8.398 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.399 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.405 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
8.405 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.406 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.406 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
8.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.407 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
8.407 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
8.407 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
8.407 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
8.408 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.408 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.408 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.410 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
8.411 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
8.411 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.411 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
8.411 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
8.412 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.412 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.412 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
8.412 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
8.412 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
8.412 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
8.412 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.412 * [taylor]: Taking taylor expansion of 32.0 in i
8.412 * [backup-simplify]: Simplify 32.0 into 32.0
8.412 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.412 * [taylor]: Taking taylor expansion of i in i
8.412 * [backup-simplify]: Simplify 0 into 0
8.412 * [backup-simplify]: Simplify 1 into 1
8.413 * [backup-simplify]: Simplify (/ 1 1) into 1
8.413 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.413 * [taylor]: Taking taylor expansion of 32.0 in i
8.413 * [backup-simplify]: Simplify 32.0 into 32.0
8.413 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.413 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.413 * [taylor]: Taking taylor expansion of i in i
8.413 * [backup-simplify]: Simplify 0 into 0
8.413 * [backup-simplify]: Simplify 1 into 1
8.413 * [backup-simplify]: Simplify (* 1 1) into 1
8.413 * [backup-simplify]: Simplify (* 1 1) into 1
8.414 * [backup-simplify]: Simplify (/ 1 1) into 1
8.414 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
8.414 * [taylor]: Taking taylor expansion of 8.0 in i
8.414 * [backup-simplify]: Simplify 8.0 into 8.0
8.414 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.414 * [taylor]: Taking taylor expansion of 48.0 in i
8.414 * [backup-simplify]: Simplify 48.0 into 48.0
8.414 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.414 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.414 * [taylor]: Taking taylor expansion of i in i
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 1 into 1
8.414 * [backup-simplify]: Simplify (* 1 1) into 1
8.414 * [backup-simplify]: Simplify (/ 1 1) into 1
8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.415 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.420 * [backup-simplify]: Simplify (+ 0 0) into 0
8.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.423 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.423 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
8.423 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.424 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
8.424 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.425 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
8.425 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
8.426 * [backup-simplify]: Simplify (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) into (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
8.426 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (alpha beta i) around 0
8.426 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.426 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
8.426 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
8.426 * [taylor]: Taking taylor expansion of alpha in i
8.426 * [backup-simplify]: Simplify alpha into alpha
8.426 * [taylor]: Taking taylor expansion of beta in i
8.426 * [backup-simplify]: Simplify beta into beta
8.426 * [taylor]: Taking taylor expansion of (- beta alpha) in i
8.426 * [taylor]: Taking taylor expansion of beta in i
8.426 * [backup-simplify]: Simplify beta into beta
8.426 * [taylor]: Taking taylor expansion of alpha in i
8.426 * [backup-simplify]: Simplify alpha into alpha
8.426 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.426 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.426 * [taylor]: Taking taylor expansion of alpha in i
8.426 * [backup-simplify]: Simplify alpha into alpha
8.426 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.426 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.426 * [taylor]: Taking taylor expansion of 2.0 in i
8.426 * [backup-simplify]: Simplify 2.0 into 2.0
8.426 * [taylor]: Taking taylor expansion of i in i
8.426 * [backup-simplify]: Simplify 0 into 0
8.426 * [backup-simplify]: Simplify 1 into 1
8.426 * [taylor]: Taking taylor expansion of beta in i
8.426 * [backup-simplify]: Simplify beta into beta
8.426 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.426 * [taylor]: Taking taylor expansion of alpha in i
8.426 * [backup-simplify]: Simplify alpha into alpha
8.426 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.426 * [taylor]: Taking taylor expansion of 2.0 in i
8.426 * [backup-simplify]: Simplify 2.0 into 2.0
8.426 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.426 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.426 * [taylor]: Taking taylor expansion of 2.0 in i
8.426 * [backup-simplify]: Simplify 2.0 into 2.0
8.426 * [taylor]: Taking taylor expansion of i in i
8.426 * [backup-simplify]: Simplify 0 into 0
8.426 * [backup-simplify]: Simplify 1 into 1
8.426 * [taylor]: Taking taylor expansion of beta in i
8.426 * [backup-simplify]: Simplify beta into beta
8.426 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.427 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.427 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
8.427 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
8.427 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.427 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.427 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.427 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.427 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.427 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.427 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.427 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.428 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
8.428 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.428 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
8.428 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
8.428 * [taylor]: Taking taylor expansion of alpha in beta
8.428 * [backup-simplify]: Simplify alpha into alpha
8.428 * [taylor]: Taking taylor expansion of beta in beta
8.428 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify 1 into 1
8.428 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
8.428 * [taylor]: Taking taylor expansion of beta in beta
8.428 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify 1 into 1
8.428 * [taylor]: Taking taylor expansion of alpha in beta
8.428 * [backup-simplify]: Simplify alpha into alpha
8.428 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.428 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.428 * [taylor]: Taking taylor expansion of alpha in beta
8.428 * [backup-simplify]: Simplify alpha into alpha
8.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.428 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.428 * [taylor]: Taking taylor expansion of 2.0 in beta
8.428 * [backup-simplify]: Simplify 2.0 into 2.0
8.428 * [taylor]: Taking taylor expansion of i in beta
8.428 * [backup-simplify]: Simplify i into i
8.428 * [taylor]: Taking taylor expansion of beta in beta
8.428 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify 1 into 1
8.428 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.428 * [taylor]: Taking taylor expansion of alpha in beta
8.428 * [backup-simplify]: Simplify alpha into alpha
8.428 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.428 * [taylor]: Taking taylor expansion of 2.0 in beta
8.428 * [backup-simplify]: Simplify 2.0 into 2.0
8.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.428 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.428 * [taylor]: Taking taylor expansion of 2.0 in beta
8.428 * [backup-simplify]: Simplify 2.0 into 2.0
8.428 * [taylor]: Taking taylor expansion of i in beta
8.428 * [backup-simplify]: Simplify i into i
8.428 * [taylor]: Taking taylor expansion of beta in beta
8.428 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify 1 into 1
8.428 * [backup-simplify]: Simplify (+ alpha 0) into alpha
8.428 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.429 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
8.429 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
8.429 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.429 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.429 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.429 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.429 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.429 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.429 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.429 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.430 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
8.430 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.430 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
8.430 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
8.430 * [taylor]: Taking taylor expansion of alpha in alpha
8.430 * [backup-simplify]: Simplify 0 into 0
8.430 * [backup-simplify]: Simplify 1 into 1
8.430 * [taylor]: Taking taylor expansion of beta in alpha
8.430 * [backup-simplify]: Simplify beta into beta
8.430 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
8.430 * [taylor]: Taking taylor expansion of beta in alpha
8.430 * [backup-simplify]: Simplify beta into beta
8.430 * [taylor]: Taking taylor expansion of alpha in alpha
8.430 * [backup-simplify]: Simplify 0 into 0
8.430 * [backup-simplify]: Simplify 1 into 1
8.430 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.430 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.430 * [taylor]: Taking taylor expansion of alpha in alpha
8.430 * [backup-simplify]: Simplify 0 into 0
8.430 * [backup-simplify]: Simplify 1 into 1
8.431 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.431 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.431 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.431 * [backup-simplify]: Simplify 2.0 into 2.0
8.431 * [taylor]: Taking taylor expansion of i in alpha
8.431 * [backup-simplify]: Simplify i into i
8.431 * [taylor]: Taking taylor expansion of beta in alpha
8.431 * [backup-simplify]: Simplify beta into beta
8.431 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.431 * [taylor]: Taking taylor expansion of alpha in alpha
8.431 * [backup-simplify]: Simplify 0 into 0
8.431 * [backup-simplify]: Simplify 1 into 1
8.431 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.431 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.431 * [backup-simplify]: Simplify 2.0 into 2.0
8.431 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.431 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.431 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.431 * [backup-simplify]: Simplify 2.0 into 2.0
8.431 * [taylor]: Taking taylor expansion of i in alpha
8.431 * [backup-simplify]: Simplify i into i
8.431 * [taylor]: Taking taylor expansion of beta in alpha
8.431 * [backup-simplify]: Simplify beta into beta
8.431 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.432 * [backup-simplify]: Simplify (- 0) into 0
8.432 * [backup-simplify]: Simplify (+ beta 0) into beta
8.432 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.432 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.432 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.432 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.432 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.432 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.432 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.433 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.433 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.433 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.433 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.433 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
8.433 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
8.433 * [taylor]: Taking taylor expansion of alpha in alpha
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify 1 into 1
8.433 * [taylor]: Taking taylor expansion of beta in alpha
8.433 * [backup-simplify]: Simplify beta into beta
8.433 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
8.433 * [taylor]: Taking taylor expansion of beta in alpha
8.433 * [backup-simplify]: Simplify beta into beta
8.433 * [taylor]: Taking taylor expansion of alpha in alpha
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify 1 into 1
8.433 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.434 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.434 * [taylor]: Taking taylor expansion of alpha in alpha
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 1 into 1
8.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.434 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.434 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.434 * [backup-simplify]: Simplify 2.0 into 2.0
8.434 * [taylor]: Taking taylor expansion of i in alpha
8.434 * [backup-simplify]: Simplify i into i
8.434 * [taylor]: Taking taylor expansion of beta in alpha
8.434 * [backup-simplify]: Simplify beta into beta
8.434 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.434 * [taylor]: Taking taylor expansion of alpha in alpha
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 1 into 1
8.434 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.434 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.434 * [backup-simplify]: Simplify 2.0 into 2.0
8.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.434 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.434 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.434 * [backup-simplify]: Simplify 2.0 into 2.0
8.434 * [taylor]: Taking taylor expansion of i in alpha
8.434 * [backup-simplify]: Simplify i into i
8.434 * [taylor]: Taking taylor expansion of beta in alpha
8.434 * [backup-simplify]: Simplify beta into beta
8.434 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.435 * [backup-simplify]: Simplify (- 0) into 0
8.435 * [backup-simplify]: Simplify (+ beta 0) into beta
8.435 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.435 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.435 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.435 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.435 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.435 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.435 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.436 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.436 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.436 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.436 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.436 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.436 * [taylor]: Taking taylor expansion of beta in beta
8.436 * [backup-simplify]: Simplify 0 into 0
8.436 * [backup-simplify]: Simplify 1 into 1
8.436 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.436 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.436 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.436 * [taylor]: Taking taylor expansion of 2.0 in beta
8.437 * [backup-simplify]: Simplify 2.0 into 2.0
8.437 * [taylor]: Taking taylor expansion of i in beta
8.437 * [backup-simplify]: Simplify i into i
8.437 * [taylor]: Taking taylor expansion of beta in beta
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [backup-simplify]: Simplify 1 into 1
8.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.437 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.437 * [taylor]: Taking taylor expansion of 2.0 in beta
8.437 * [backup-simplify]: Simplify 2.0 into 2.0
8.437 * [taylor]: Taking taylor expansion of i in beta
8.437 * [backup-simplify]: Simplify i into i
8.437 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.437 * [taylor]: Taking taylor expansion of beta in beta
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [backup-simplify]: Simplify 1 into 1
8.437 * [taylor]: Taking taylor expansion of 2.0 in beta
8.437 * [backup-simplify]: Simplify 2.0 into 2.0
8.437 * [backup-simplify]: Simplify (* 1 1) into 1
8.438 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.438 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.438 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.438 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.438 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.438 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.439 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.439 * [backup-simplify]: Simplify (- 1) into -1
8.439 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.440 * [backup-simplify]: Simplify (+ 1 0) into 1
8.440 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
8.440 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.441 * [backup-simplify]: Simplify (+ 0 0) into 0
8.441 * [backup-simplify]: Simplify (+ 0 0) into 0
8.442 * [backup-simplify]: Simplify (+ 1 0) into 1
8.442 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.442 * [backup-simplify]: Simplify (+ 0 0) into 0
8.443 * [backup-simplify]: Simplify (+ 1 0) into 1
8.443 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
8.445 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
8.445 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
8.445 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
8.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.445 * [taylor]: Taking taylor expansion of 2.0 in beta
8.445 * [backup-simplify]: Simplify 2.0 into 2.0
8.445 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.445 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.445 * [taylor]: Taking taylor expansion of beta in beta
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 1 into 1
8.446 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.446 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.446 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.446 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.446 * [taylor]: Taking taylor expansion of 2.0 in beta
8.446 * [backup-simplify]: Simplify 2.0 into 2.0
8.446 * [taylor]: Taking taylor expansion of i in beta
8.446 * [backup-simplify]: Simplify i into i
8.446 * [taylor]: Taking taylor expansion of beta in beta
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 1 into 1
8.446 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.446 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.446 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.446 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.446 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.446 * [taylor]: Taking taylor expansion of 2.0 in beta
8.446 * [backup-simplify]: Simplify 2.0 into 2.0
8.446 * [taylor]: Taking taylor expansion of i in beta
8.446 * [backup-simplify]: Simplify i into i
8.446 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.446 * [taylor]: Taking taylor expansion of beta in beta
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 1 into 1
8.446 * [taylor]: Taking taylor expansion of 2.0 in beta
8.446 * [backup-simplify]: Simplify 2.0 into 2.0
8.446 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.447 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.447 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.447 * [backup-simplify]: Simplify (* 1 1) into 1
8.448 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.448 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.448 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.448 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.449 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
8.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.449 * [taylor]: Taking taylor expansion of 4.0 in beta
8.449 * [backup-simplify]: Simplify 4.0 into 4.0
8.449 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.449 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.449 * [taylor]: Taking taylor expansion of i in beta
8.449 * [backup-simplify]: Simplify i into i
8.449 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.449 * [taylor]: Taking taylor expansion of beta in beta
8.449 * [backup-simplify]: Simplify 0 into 0
8.449 * [backup-simplify]: Simplify 1 into 1
8.449 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.449 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.449 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.449 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.449 * [taylor]: Taking taylor expansion of 2.0 in beta
8.449 * [backup-simplify]: Simplify 2.0 into 2.0
8.449 * [taylor]: Taking taylor expansion of i in beta
8.449 * [backup-simplify]: Simplify i into i
8.449 * [taylor]: Taking taylor expansion of beta in beta
8.449 * [backup-simplify]: Simplify 0 into 0
8.449 * [backup-simplify]: Simplify 1 into 1
8.449 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.449 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.449 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.449 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.449 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.450 * [taylor]: Taking taylor expansion of 2.0 in beta
8.450 * [backup-simplify]: Simplify 2.0 into 2.0
8.450 * [taylor]: Taking taylor expansion of i in beta
8.450 * [backup-simplify]: Simplify i into i
8.450 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.450 * [taylor]: Taking taylor expansion of beta in beta
8.450 * [backup-simplify]: Simplify 0 into 0
8.450 * [backup-simplify]: Simplify 1 into 1
8.450 * [taylor]: Taking taylor expansion of 2.0 in beta
8.450 * [backup-simplify]: Simplify 2.0 into 2.0
8.450 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.454 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.454 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.455 * [backup-simplify]: Simplify (* 1 1) into 1
8.455 * [backup-simplify]: Simplify (* i 1) into i
8.455 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.455 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.455 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.455 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.455 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.455 * [taylor]: Taking taylor expansion of 2 in beta
8.455 * [backup-simplify]: Simplify 2 into 2
8.455 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.455 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.456 * [taylor]: Taking taylor expansion of beta in beta
8.456 * [backup-simplify]: Simplify 0 into 0
8.456 * [backup-simplify]: Simplify 1 into 1
8.456 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.456 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.456 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.456 * [taylor]: Taking taylor expansion of 2.0 in beta
8.456 * [backup-simplify]: Simplify 2.0 into 2.0
8.456 * [taylor]: Taking taylor expansion of i in beta
8.456 * [backup-simplify]: Simplify i into i
8.456 * [taylor]: Taking taylor expansion of beta in beta
8.456 * [backup-simplify]: Simplify 0 into 0
8.456 * [backup-simplify]: Simplify 1 into 1
8.456 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.456 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.456 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.456 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.456 * [taylor]: Taking taylor expansion of 2.0 in beta
8.456 * [backup-simplify]: Simplify 2.0 into 2.0
8.456 * [taylor]: Taking taylor expansion of i in beta
8.456 * [backup-simplify]: Simplify i into i
8.456 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.456 * [taylor]: Taking taylor expansion of beta in beta
8.456 * [backup-simplify]: Simplify 0 into 0
8.456 * [backup-simplify]: Simplify 1 into 1
8.456 * [taylor]: Taking taylor expansion of 2.0 in beta
8.456 * [backup-simplify]: Simplify 2.0 into 2.0
8.456 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.456 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.456 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.457 * [backup-simplify]: Simplify (* 1 1) into 1
8.457 * [backup-simplify]: Simplify (* 1 1) into 1
8.457 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.457 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.457 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.458 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.458 * [backup-simplify]: Simplify (- 0) into 0
8.458 * [backup-simplify]: Simplify (+ 0 0) into 0
8.458 * [backup-simplify]: Simplify (+ 0 0) into 0
8.459 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
8.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.459 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.461 * [backup-simplify]: Simplify (+ 0 0) into 0
8.461 * [backup-simplify]: Simplify (+ 0 0) into 0
8.461 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
8.465 * [backup-simplify]: Simplify (- (/ (- 1) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
8.466 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
8.466 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
8.466 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.466 * [taylor]: Taking taylor expansion of 8.0 in beta
8.466 * [backup-simplify]: Simplify 8.0 into 8.0
8.466 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.466 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.466 * [taylor]: Taking taylor expansion of beta in beta
8.466 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify 1 into 1
8.466 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.466 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.466 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.466 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.466 * [taylor]: Taking taylor expansion of 2.0 in beta
8.466 * [backup-simplify]: Simplify 2.0 into 2.0
8.466 * [taylor]: Taking taylor expansion of i in beta
8.466 * [backup-simplify]: Simplify i into i
8.466 * [taylor]: Taking taylor expansion of beta in beta
8.466 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify 1 into 1
8.466 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.466 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.466 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.466 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.466 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.466 * [taylor]: Taking taylor expansion of 2.0 in beta
8.466 * [backup-simplify]: Simplify 2.0 into 2.0
8.466 * [taylor]: Taking taylor expansion of i in beta
8.466 * [backup-simplify]: Simplify i into i
8.466 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.466 * [taylor]: Taking taylor expansion of beta in beta
8.466 * [backup-simplify]: Simplify 0 into 0
8.466 * [backup-simplify]: Simplify 1 into 1
8.466 * [taylor]: Taking taylor expansion of 2.0 in beta
8.466 * [backup-simplify]: Simplify 2.0 into 2.0
8.466 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.467 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.467 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.467 * [backup-simplify]: Simplify (* 1 1) into 1
8.467 * [backup-simplify]: Simplify (* 1 1) into 1
8.467 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.468 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.468 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.468 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.468 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.468 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.468 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
8.468 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.468 * [taylor]: Taking taylor expansion of 16.0 in beta
8.468 * [backup-simplify]: Simplify 16.0 into 16.0
8.468 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.468 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
8.468 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.468 * [taylor]: Taking taylor expansion of i in beta
8.469 * [backup-simplify]: Simplify i into i
8.469 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.469 * [taylor]: Taking taylor expansion of beta in beta
8.469 * [backup-simplify]: Simplify 0 into 0
8.469 * [backup-simplify]: Simplify 1 into 1
8.469 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.469 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.469 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.469 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.469 * [taylor]: Taking taylor expansion of 2.0 in beta
8.469 * [backup-simplify]: Simplify 2.0 into 2.0
8.469 * [taylor]: Taking taylor expansion of i in beta
8.469 * [backup-simplify]: Simplify i into i
8.469 * [taylor]: Taking taylor expansion of beta in beta
8.469 * [backup-simplify]: Simplify 0 into 0
8.469 * [backup-simplify]: Simplify 1 into 1
8.469 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.469 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.469 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.469 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.469 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.469 * [taylor]: Taking taylor expansion of 2.0 in beta
8.469 * [backup-simplify]: Simplify 2.0 into 2.0
8.469 * [taylor]: Taking taylor expansion of i in beta
8.469 * [backup-simplify]: Simplify i into i
8.469 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.469 * [taylor]: Taking taylor expansion of beta in beta
8.469 * [backup-simplify]: Simplify 0 into 0
8.469 * [backup-simplify]: Simplify 1 into 1
8.469 * [taylor]: Taking taylor expansion of 2.0 in beta
8.469 * [backup-simplify]: Simplify 2.0 into 2.0
8.469 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.469 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.469 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.470 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.470 * [backup-simplify]: Simplify (* 1 1) into 1
8.470 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.470 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.470 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.470 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.470 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.470 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.471 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
8.471 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
8.471 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.471 * [taylor]: Taking taylor expansion of 4 in beta
8.471 * [backup-simplify]: Simplify 4 into 4
8.471 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.471 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.471 * [taylor]: Taking taylor expansion of beta in beta
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.471 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.471 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.471 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.471 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.471 * [taylor]: Taking taylor expansion of 2.0 in beta
8.471 * [backup-simplify]: Simplify 2.0 into 2.0
8.471 * [taylor]: Taking taylor expansion of i in beta
8.471 * [backup-simplify]: Simplify i into i
8.471 * [taylor]: Taking taylor expansion of beta in beta
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.471 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.471 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.471 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.471 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.471 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.471 * [taylor]: Taking taylor expansion of 2.0 in beta
8.471 * [backup-simplify]: Simplify 2.0 into 2.0
8.471 * [taylor]: Taking taylor expansion of i in beta
8.471 * [backup-simplify]: Simplify i into i
8.471 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.471 * [taylor]: Taking taylor expansion of beta in beta
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.471 * [taylor]: Taking taylor expansion of 2.0 in beta
8.471 * [backup-simplify]: Simplify 2.0 into 2.0
8.471 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.472 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.472 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.472 * [backup-simplify]: Simplify (* 1 1) into 1
8.472 * [backup-simplify]: Simplify (* 1 1) into 1
8.472 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.473 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.473 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.473 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.473 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.473 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.473 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
8.473 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.473 * [taylor]: Taking taylor expansion of 16.0 in beta
8.473 * [backup-simplify]: Simplify 16.0 into 16.0
8.473 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.473 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
8.473 * [taylor]: Taking taylor expansion of i in beta
8.473 * [backup-simplify]: Simplify i into i
8.473 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.473 * [taylor]: Taking taylor expansion of beta in beta
8.473 * [backup-simplify]: Simplify 0 into 0
8.473 * [backup-simplify]: Simplify 1 into 1
8.473 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.473 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.473 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.473 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.473 * [taylor]: Taking taylor expansion of 2.0 in beta
8.474 * [backup-simplify]: Simplify 2.0 into 2.0
8.474 * [taylor]: Taking taylor expansion of i in beta
8.474 * [backup-simplify]: Simplify i into i
8.474 * [taylor]: Taking taylor expansion of beta in beta
8.474 * [backup-simplify]: Simplify 0 into 0
8.474 * [backup-simplify]: Simplify 1 into 1
8.474 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.474 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.474 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.474 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.474 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.474 * [taylor]: Taking taylor expansion of 2.0 in beta
8.474 * [backup-simplify]: Simplify 2.0 into 2.0
8.474 * [taylor]: Taking taylor expansion of i in beta
8.474 * [backup-simplify]: Simplify i into i
8.474 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.474 * [taylor]: Taking taylor expansion of beta in beta
8.474 * [backup-simplify]: Simplify 0 into 0
8.474 * [backup-simplify]: Simplify 1 into 1
8.474 * [taylor]: Taking taylor expansion of 2.0 in beta
8.474 * [backup-simplify]: Simplify 2.0 into 2.0
8.474 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.474 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.474 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.475 * [backup-simplify]: Simplify (* 1 1) into 1
8.475 * [backup-simplify]: Simplify (* 1 1) into 1
8.475 * [backup-simplify]: Simplify (* i 1) into i
8.475 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.475 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.475 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.475 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.475 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.476 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.476 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
8.476 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.476 * [taylor]: Taking taylor expansion of 16.0 in beta
8.476 * [backup-simplify]: Simplify 16.0 into 16.0
8.476 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.476 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.476 * [taylor]: Taking taylor expansion of i in beta
8.476 * [backup-simplify]: Simplify i into i
8.476 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.476 * [taylor]: Taking taylor expansion of beta in beta
8.476 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify 1 into 1
8.476 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.476 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.476 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.476 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.476 * [taylor]: Taking taylor expansion of 2.0 in beta
8.476 * [backup-simplify]: Simplify 2.0 into 2.0
8.476 * [taylor]: Taking taylor expansion of i in beta
8.476 * [backup-simplify]: Simplify i into i
8.476 * [taylor]: Taking taylor expansion of beta in beta
8.476 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify 1 into 1
8.476 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.476 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.476 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.477 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.477 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.477 * [taylor]: Taking taylor expansion of 2.0 in beta
8.477 * [backup-simplify]: Simplify 2.0 into 2.0
8.477 * [taylor]: Taking taylor expansion of i in beta
8.478 * [backup-simplify]: Simplify i into i
8.478 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.478 * [taylor]: Taking taylor expansion of beta in beta
8.478 * [backup-simplify]: Simplify 0 into 0
8.478 * [backup-simplify]: Simplify 1 into 1
8.478 * [taylor]: Taking taylor expansion of 2.0 in beta
8.478 * [backup-simplify]: Simplify 2.0 into 2.0
8.478 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.478 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.478 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.479 * [backup-simplify]: Simplify (* 1 1) into 1
8.479 * [backup-simplify]: Simplify (* i 1) into i
8.479 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.479 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.479 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.480 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.480 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.480 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.481 * [taylor]: Taking taylor expansion of 4.0 in beta
8.481 * [backup-simplify]: Simplify 4.0 into 4.0
8.481 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.481 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.481 * [taylor]: Taking taylor expansion of beta in beta
8.481 * [backup-simplify]: Simplify 0 into 0
8.481 * [backup-simplify]: Simplify 1 into 1
8.481 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.481 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.481 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.481 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.481 * [taylor]: Taking taylor expansion of 2.0 in beta
8.481 * [backup-simplify]: Simplify 2.0 into 2.0
8.481 * [taylor]: Taking taylor expansion of i in beta
8.481 * [backup-simplify]: Simplify i into i
8.481 * [taylor]: Taking taylor expansion of beta in beta
8.481 * [backup-simplify]: Simplify 0 into 0
8.481 * [backup-simplify]: Simplify 1 into 1
8.481 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.481 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.481 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.481 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.481 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.482 * [taylor]: Taking taylor expansion of 2.0 in beta
8.482 * [backup-simplify]: Simplify 2.0 into 2.0
8.482 * [taylor]: Taking taylor expansion of i in beta
8.482 * [backup-simplify]: Simplify i into i
8.482 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.482 * [taylor]: Taking taylor expansion of beta in beta
8.482 * [backup-simplify]: Simplify 0 into 0
8.482 * [backup-simplify]: Simplify 1 into 1
8.482 * [taylor]: Taking taylor expansion of 2.0 in beta
8.482 * [backup-simplify]: Simplify 2.0 into 2.0
8.482 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.482 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.483 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.483 * [backup-simplify]: Simplify (* 1 1) into 1
8.483 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.483 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.483 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.484 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.484 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.484 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.485 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.485 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.485 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.485 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.485 * [taylor]: Taking taylor expansion of 2.0 in beta
8.485 * [backup-simplify]: Simplify 2.0 into 2.0
8.485 * [taylor]: Taking taylor expansion of i in beta
8.485 * [backup-simplify]: Simplify i into i
8.485 * [taylor]: Taking taylor expansion of beta in beta
8.485 * [backup-simplify]: Simplify 0 into 0
8.485 * [backup-simplify]: Simplify 1 into 1
8.485 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.485 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.485 * [taylor]: Taking taylor expansion of 2.0 in beta
8.485 * [backup-simplify]: Simplify 2.0 into 2.0
8.485 * [taylor]: Taking taylor expansion of i in beta
8.485 * [backup-simplify]: Simplify i into i
8.485 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.485 * [taylor]: Taking taylor expansion of beta in beta
8.485 * [backup-simplify]: Simplify 0 into 0
8.485 * [backup-simplify]: Simplify 1 into 1
8.485 * [taylor]: Taking taylor expansion of 2.0 in beta
8.485 * [backup-simplify]: Simplify 2.0 into 2.0
8.485 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.485 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.485 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.486 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.486 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.486 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.486 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.486 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.486 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.486 * [taylor]: Taking taylor expansion of beta in beta
8.486 * [backup-simplify]: Simplify 0 into 0
8.486 * [backup-simplify]: Simplify 1 into 1
8.486 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.486 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.486 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.486 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.486 * [taylor]: Taking taylor expansion of 2.0 in beta
8.486 * [backup-simplify]: Simplify 2.0 into 2.0
8.486 * [taylor]: Taking taylor expansion of i in beta
8.486 * [backup-simplify]: Simplify i into i
8.486 * [taylor]: Taking taylor expansion of beta in beta
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify 1 into 1
8.487 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.487 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.487 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.487 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.487 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.487 * [taylor]: Taking taylor expansion of 2.0 in beta
8.487 * [backup-simplify]: Simplify 2.0 into 2.0
8.487 * [taylor]: Taking taylor expansion of i in beta
8.487 * [backup-simplify]: Simplify i into i
8.487 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.487 * [taylor]: Taking taylor expansion of beta in beta
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify 1 into 1
8.487 * [taylor]: Taking taylor expansion of 2.0 in beta
8.487 * [backup-simplify]: Simplify 2.0 into 2.0
8.487 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.488 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.488 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.488 * [backup-simplify]: Simplify (* 1 1) into 1
8.488 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.488 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.489 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.489 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.489 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
8.489 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.490 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.490 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
8.490 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
8.490 * [taylor]: Taking taylor expansion of 0.5 in i
8.490 * [backup-simplify]: Simplify 0.5 into 0.5
8.490 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
8.490 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.490 * [taylor]: Taking taylor expansion of i in i
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.490 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.490 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.490 * [taylor]: Taking taylor expansion of 2.0 in i
8.490 * [backup-simplify]: Simplify 2.0 into 2.0
8.490 * [taylor]: Taking taylor expansion of i in i
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 1 into 1
8.490 * [taylor]: Taking taylor expansion of 2.0 in i
8.490 * [backup-simplify]: Simplify 2.0 into 2.0
8.491 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.491 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.491 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.493 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.493 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.495 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.495 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.496 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.497 * [backup-simplify]: Simplify (+ 0 0) into 0
8.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.501 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.503 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.504 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
8.504 * [backup-simplify]: Simplify 0.25 into 0.25
8.504 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
8.504 * [taylor]: Taking taylor expansion of 0.5 in i
8.504 * [backup-simplify]: Simplify 0.5 into 0.5
8.504 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.504 * [taylor]: Taking taylor expansion of i in i
8.504 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify 1 into 1
8.504 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.504 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.504 * [taylor]: Taking taylor expansion of 2.0 in i
8.504 * [backup-simplify]: Simplify 2.0 into 2.0
8.504 * [taylor]: Taking taylor expansion of i in i
8.504 * [backup-simplify]: Simplify 0 into 0
8.504 * [backup-simplify]: Simplify 1 into 1
8.504 * [taylor]: Taking taylor expansion of 2.0 in i
8.504 * [backup-simplify]: Simplify 2.0 into 2.0
8.505 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.505 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.505 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.507 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.507 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.509 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.509 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
8.510 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.510 * [backup-simplify]: Simplify (+ 0 0) into 0
8.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.515 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
8.516 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
8.516 * [backup-simplify]: Simplify (- 0) into 0
8.517 * [backup-simplify]: Simplify (+ 0 0) into 0
8.517 * [backup-simplify]: Simplify (+ 0 0) into 0
8.518 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
8.519 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
8.519 * [backup-simplify]: Simplify (+ 0 0) into 0
8.520 * [backup-simplify]: Simplify (+ 0 0) into 0
8.520 * [backup-simplify]: Simplify (+ 0 0) into 0
8.521 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
8.522 * [backup-simplify]: Simplify (+ 0 0) into 0
8.522 * [backup-simplify]: Simplify (+ 0 0) into 0
8.523 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
8.540 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))))
8.540 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))))) in beta
8.540 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
8.540 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.540 * [taylor]: Taking taylor expansion of 4 in beta
8.540 * [backup-simplify]: Simplify 4 into 4
8.540 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.540 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.540 * [taylor]: Taking taylor expansion of beta in beta
8.540 * [backup-simplify]: Simplify 0 into 0
8.540 * [backup-simplify]: Simplify 1 into 1
8.540 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.540 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.540 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.540 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.540 * [taylor]: Taking taylor expansion of 2.0 in beta
8.540 * [backup-simplify]: Simplify 2.0 into 2.0
8.540 * [taylor]: Taking taylor expansion of i in beta
8.540 * [backup-simplify]: Simplify i into i
8.540 * [taylor]: Taking taylor expansion of beta in beta
8.540 * [backup-simplify]: Simplify 0 into 0
8.540 * [backup-simplify]: Simplify 1 into 1
8.540 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.541 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.541 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.541 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.541 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.541 * [taylor]: Taking taylor expansion of 2.0 in beta
8.541 * [backup-simplify]: Simplify 2.0 into 2.0
8.541 * [taylor]: Taking taylor expansion of i in beta
8.541 * [backup-simplify]: Simplify i into i
8.541 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.541 * [taylor]: Taking taylor expansion of beta in beta
8.541 * [backup-simplify]: Simplify 0 into 0
8.541 * [backup-simplify]: Simplify 1 into 1
8.541 * [taylor]: Taking taylor expansion of 2.0 in beta
8.541 * [backup-simplify]: Simplify 2.0 into 2.0
8.541 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.541 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.541 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.542 * [backup-simplify]: Simplify (* 1 1) into 1
8.542 * [backup-simplify]: Simplify (* 1 1) into 1
8.542 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.542 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.542 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.542 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.542 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.543 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.543 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
8.543 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
8.543 * [taylor]: Taking taylor expansion of 4.0 in beta
8.543 * [backup-simplify]: Simplify 4.0 into 4.0
8.543 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
8.543 * [taylor]: Taking taylor expansion of i in beta
8.543 * [backup-simplify]: Simplify i into i
8.543 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
8.543 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.543 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.543 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.543 * [taylor]: Taking taylor expansion of 2.0 in beta
8.543 * [backup-simplify]: Simplify 2.0 into 2.0
8.543 * [taylor]: Taking taylor expansion of i in beta
8.543 * [backup-simplify]: Simplify i into i
8.543 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.543 * [taylor]: Taking taylor expansion of beta in beta
8.543 * [backup-simplify]: Simplify 0 into 0
8.543 * [backup-simplify]: Simplify 1 into 1
8.543 * [taylor]: Taking taylor expansion of 2.0 in beta
8.543 * [backup-simplify]: Simplify 2.0 into 2.0
8.543 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.544 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.544 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.544 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.544 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.544 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.544 * [taylor]: Taking taylor expansion of 2.0 in beta
8.544 * [backup-simplify]: Simplify 2.0 into 2.0
8.544 * [taylor]: Taking taylor expansion of i in beta
8.544 * [backup-simplify]: Simplify i into i
8.544 * [taylor]: Taking taylor expansion of beta in beta
8.544 * [backup-simplify]: Simplify 0 into 0
8.544 * [backup-simplify]: Simplify 1 into 1
8.544 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.544 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.544 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.544 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.544 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
8.544 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.545 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
8.545 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.545 * [taylor]: Taking taylor expansion of 8.0 in beta
8.545 * [backup-simplify]: Simplify 8.0 into 8.0
8.545 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.545 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.545 * [taylor]: Taking taylor expansion of i in beta
8.545 * [backup-simplify]: Simplify i into i
8.545 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.545 * [taylor]: Taking taylor expansion of beta in beta
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 1 into 1
8.545 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.545 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.545 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.545 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.545 * [taylor]: Taking taylor expansion of 2.0 in beta
8.545 * [backup-simplify]: Simplify 2.0 into 2.0
8.545 * [taylor]: Taking taylor expansion of i in beta
8.545 * [backup-simplify]: Simplify i into i
8.545 * [taylor]: Taking taylor expansion of beta in beta
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 1 into 1
8.545 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.545 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.545 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.545 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.545 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.545 * [taylor]: Taking taylor expansion of 2.0 in beta
8.545 * [backup-simplify]: Simplify 2.0 into 2.0
8.545 * [taylor]: Taking taylor expansion of i in beta
8.545 * [backup-simplify]: Simplify i into i
8.545 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.545 * [taylor]: Taking taylor expansion of beta in beta
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 1 into 1
8.545 * [taylor]: Taking taylor expansion of 2.0 in beta
8.545 * [backup-simplify]: Simplify 2.0 into 2.0
8.545 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.546 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.546 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.546 * [backup-simplify]: Simplify (* 1 1) into 1
8.546 * [backup-simplify]: Simplify (* i 1) into i
8.546 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.546 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.547 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.547 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.547 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.547 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.547 * [taylor]: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
8.547 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.547 * [taylor]: Taking taylor expansion of 2 in beta
8.547 * [backup-simplify]: Simplify 2 into 2
8.547 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.547 * [taylor]: Taking taylor expansion of beta in beta
8.547 * [backup-simplify]: Simplify 0 into 0
8.547 * [backup-simplify]: Simplify 1 into 1
8.547 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.547 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.547 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.547 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.547 * [taylor]: Taking taylor expansion of 2.0 in beta
8.547 * [backup-simplify]: Simplify 2.0 into 2.0
8.547 * [taylor]: Taking taylor expansion of i in beta
8.547 * [backup-simplify]: Simplify i into i
8.547 * [taylor]: Taking taylor expansion of beta in beta
8.547 * [backup-simplify]: Simplify 0 into 0
8.547 * [backup-simplify]: Simplify 1 into 1
8.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.548 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.548 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.548 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.548 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.548 * [taylor]: Taking taylor expansion of 2.0 in beta
8.548 * [backup-simplify]: Simplify 2.0 into 2.0
8.548 * [taylor]: Taking taylor expansion of i in beta
8.548 * [backup-simplify]: Simplify i into i
8.548 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.548 * [taylor]: Taking taylor expansion of beta in beta
8.548 * [backup-simplify]: Simplify 0 into 0
8.548 * [backup-simplify]: Simplify 1 into 1
8.548 * [taylor]: Taking taylor expansion of 2.0 in beta
8.548 * [backup-simplify]: Simplify 2.0 into 2.0
8.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.548 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.548 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.548 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.548 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.549 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.549 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.549 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
8.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.549 * [taylor]: Taking taylor expansion of 2.0 in beta
8.549 * [backup-simplify]: Simplify 2.0 into 2.0
8.549 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.549 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.549 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.549 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.549 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.549 * [taylor]: Taking taylor expansion of 2.0 in beta
8.549 * [backup-simplify]: Simplify 2.0 into 2.0
8.549 * [taylor]: Taking taylor expansion of i in beta
8.549 * [backup-simplify]: Simplify i into i
8.549 * [taylor]: Taking taylor expansion of beta in beta
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 1 into 1
8.549 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.549 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.549 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.549 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.549 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.549 * [taylor]: Taking taylor expansion of 2.0 in beta
8.550 * [backup-simplify]: Simplify 2.0 into 2.0
8.550 * [taylor]: Taking taylor expansion of i in beta
8.550 * [backup-simplify]: Simplify i into i
8.550 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.550 * [taylor]: Taking taylor expansion of beta in beta
8.550 * [backup-simplify]: Simplify 0 into 0
8.550 * [backup-simplify]: Simplify 1 into 1
8.550 * [taylor]: Taking taylor expansion of 2.0 in beta
8.550 * [backup-simplify]: Simplify 2.0 into 2.0
8.550 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.550 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.550 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.550 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.550 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.550 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.551 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.551 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.551 * [taylor]: Taking taylor expansion of 4.0 in beta
8.551 * [backup-simplify]: Simplify 4.0 into 4.0
8.551 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.551 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.551 * [taylor]: Taking taylor expansion of beta in beta
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.551 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.551 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.551 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.551 * [taylor]: Taking taylor expansion of 2.0 in beta
8.551 * [backup-simplify]: Simplify 2.0 into 2.0
8.551 * [taylor]: Taking taylor expansion of i in beta
8.551 * [backup-simplify]: Simplify i into i
8.551 * [taylor]: Taking taylor expansion of beta in beta
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.551 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.551 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.551 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.551 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.551 * [taylor]: Taking taylor expansion of 2.0 in beta
8.551 * [backup-simplify]: Simplify 2.0 into 2.0
8.551 * [taylor]: Taking taylor expansion of i in beta
8.551 * [backup-simplify]: Simplify i into i
8.551 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.551 * [taylor]: Taking taylor expansion of beta in beta
8.551 * [backup-simplify]: Simplify 0 into 0
8.551 * [backup-simplify]: Simplify 1 into 1
8.551 * [taylor]: Taking taylor expansion of 2.0 in beta
8.551 * [backup-simplify]: Simplify 2.0 into 2.0
8.551 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.552 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.552 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.552 * [backup-simplify]: Simplify (* 1 1) into 1
8.552 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.552 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.552 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.552 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.553 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.553 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.553 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))) in beta
8.553 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.553 * [taylor]: Taking taylor expansion of 48.0 in beta
8.553 * [backup-simplify]: Simplify 48.0 into 48.0
8.553 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.553 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
8.553 * [taylor]: Taking taylor expansion of i in beta
8.553 * [backup-simplify]: Simplify i into i
8.553 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.553 * [taylor]: Taking taylor expansion of beta in beta
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.553 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.553 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.553 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.553 * [taylor]: Taking taylor expansion of 2.0 in beta
8.553 * [backup-simplify]: Simplify 2.0 into 2.0
8.553 * [taylor]: Taking taylor expansion of i in beta
8.553 * [backup-simplify]: Simplify i into i
8.553 * [taylor]: Taking taylor expansion of beta in beta
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.553 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.553 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.553 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.553 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.553 * [taylor]: Taking taylor expansion of 2.0 in beta
8.553 * [backup-simplify]: Simplify 2.0 into 2.0
8.553 * [taylor]: Taking taylor expansion of i in beta
8.553 * [backup-simplify]: Simplify i into i
8.553 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.553 * [taylor]: Taking taylor expansion of beta in beta
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [taylor]: Taking taylor expansion of 2.0 in beta
8.554 * [backup-simplify]: Simplify 2.0 into 2.0
8.554 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.554 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.554 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.554 * [backup-simplify]: Simplify (* 1 1) into 1
8.554 * [backup-simplify]: Simplify (* 1 1) into 1
8.554 * [backup-simplify]: Simplify (* i 1) into i
8.555 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.555 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.555 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.555 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.555 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.555 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
8.555 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))) in beta
8.555 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.555 * [taylor]: Taking taylor expansion of 24.0 in beta
8.556 * [backup-simplify]: Simplify 24.0 into 24.0
8.556 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.556 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.556 * [taylor]: Taking taylor expansion of beta in beta
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.556 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.556 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.556 * [taylor]: Taking taylor expansion of 2.0 in beta
8.556 * [backup-simplify]: Simplify 2.0 into 2.0
8.556 * [taylor]: Taking taylor expansion of i in beta
8.556 * [backup-simplify]: Simplify i into i
8.556 * [taylor]: Taking taylor expansion of beta in beta
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.556 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.556 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.556 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.556 * [taylor]: Taking taylor expansion of 2.0 in beta
8.556 * [backup-simplify]: Simplify 2.0 into 2.0
8.556 * [taylor]: Taking taylor expansion of i in beta
8.556 * [backup-simplify]: Simplify i into i
8.556 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.556 * [taylor]: Taking taylor expansion of beta in beta
8.556 * [backup-simplify]: Simplify 0 into 0
8.556 * [backup-simplify]: Simplify 1 into 1
8.556 * [taylor]: Taking taylor expansion of 2.0 in beta
8.556 * [backup-simplify]: Simplify 2.0 into 2.0
8.556 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.556 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.557 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.557 * [backup-simplify]: Simplify (* 1 1) into 1
8.557 * [backup-simplify]: Simplify (* 1 1) into 1
8.557 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.557 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.557 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.558 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.558 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.558 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.558 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))) in beta
8.558 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.558 * [taylor]: Taking taylor expansion of 96.0 in beta
8.558 * [backup-simplify]: Simplify 96.0 into 96.0
8.558 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.558 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
8.558 * [taylor]: Taking taylor expansion of i in beta
8.558 * [backup-simplify]: Simplify i into i
8.558 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.558 * [taylor]: Taking taylor expansion of beta in beta
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.558 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.558 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.558 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.558 * [taylor]: Taking taylor expansion of 2.0 in beta
8.558 * [backup-simplify]: Simplify 2.0 into 2.0
8.558 * [taylor]: Taking taylor expansion of i in beta
8.558 * [backup-simplify]: Simplify i into i
8.558 * [taylor]: Taking taylor expansion of beta in beta
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.558 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.558 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.559 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.559 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.559 * [taylor]: Taking taylor expansion of 2.0 in beta
8.559 * [backup-simplify]: Simplify 2.0 into 2.0
8.559 * [taylor]: Taking taylor expansion of i in beta
8.559 * [backup-simplify]: Simplify i into i
8.559 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.559 * [taylor]: Taking taylor expansion of beta in beta
8.559 * [backup-simplify]: Simplify 0 into 0
8.559 * [backup-simplify]: Simplify 1 into 1
8.559 * [taylor]: Taking taylor expansion of 2.0 in beta
8.559 * [backup-simplify]: Simplify 2.0 into 2.0
8.559 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.559 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.559 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.559 * [backup-simplify]: Simplify (* 1 1) into 1
8.560 * [backup-simplify]: Simplify (* 1 1) into 1
8.560 * [backup-simplify]: Simplify (* i 1) into i
8.560 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.560 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.560 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.560 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.560 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.561 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
8.561 * [taylor]: Taking taylor expansion of (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))) in beta
8.561 * [taylor]: Taking taylor expansion of (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.561 * [taylor]: Taking taylor expansion of 8 in beta
8.561 * [backup-simplify]: Simplify 8 into 8
8.561 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.561 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
8.561 * [taylor]: Taking taylor expansion of beta in beta
8.561 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify 1 into 1
8.561 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.561 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.561 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.561 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.561 * [taylor]: Taking taylor expansion of 2.0 in beta
8.561 * [backup-simplify]: Simplify 2.0 into 2.0
8.561 * [taylor]: Taking taylor expansion of i in beta
8.561 * [backup-simplify]: Simplify i into i
8.561 * [taylor]: Taking taylor expansion of beta in beta
8.561 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify 1 into 1
8.561 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.561 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.561 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.561 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.561 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.561 * [taylor]: Taking taylor expansion of 2.0 in beta
8.561 * [backup-simplify]: Simplify 2.0 into 2.0
8.561 * [taylor]: Taking taylor expansion of i in beta
8.561 * [backup-simplify]: Simplify i into i
8.561 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.561 * [taylor]: Taking taylor expansion of beta in beta
8.561 * [backup-simplify]: Simplify 0 into 0
8.561 * [backup-simplify]: Simplify 1 into 1
8.561 * [taylor]: Taking taylor expansion of 2.0 in beta
8.561 * [backup-simplify]: Simplify 2.0 into 2.0
8.561 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.562 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.562 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.562 * [backup-simplify]: Simplify (* 1 1) into 1
8.562 * [backup-simplify]: Simplify (* 1 1) into 1
8.562 * [backup-simplify]: Simplify (* 1 1) into 1
8.562 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.563 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.563 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.563 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.563 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.563 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.563 * [taylor]: Taking taylor expansion of (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))) in beta
8.563 * [taylor]: Taking taylor expansion of (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.563 * [taylor]: Taking taylor expansion of 64.0 in beta
8.563 * [backup-simplify]: Simplify 64.0 into 64.0
8.563 * [taylor]: Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.563 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
8.563 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.563 * [taylor]: Taking taylor expansion of i in beta
8.563 * [backup-simplify]: Simplify i into i
8.563 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.563 * [taylor]: Taking taylor expansion of beta in beta
8.564 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify 1 into 1
8.564 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.564 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.564 * [taylor]: Taking taylor expansion of 2.0 in beta
8.564 * [backup-simplify]: Simplify 2.0 into 2.0
8.564 * [taylor]: Taking taylor expansion of i in beta
8.564 * [backup-simplify]: Simplify i into i
8.564 * [taylor]: Taking taylor expansion of beta in beta
8.564 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify 1 into 1
8.564 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.564 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.564 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.564 * [taylor]: Taking taylor expansion of 2.0 in beta
8.564 * [backup-simplify]: Simplify 2.0 into 2.0
8.564 * [taylor]: Taking taylor expansion of i in beta
8.564 * [backup-simplify]: Simplify i into i
8.564 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.564 * [taylor]: Taking taylor expansion of beta in beta
8.564 * [backup-simplify]: Simplify 0 into 0
8.564 * [backup-simplify]: Simplify 1 into 1
8.564 * [taylor]: Taking taylor expansion of 2.0 in beta
8.564 * [backup-simplify]: Simplify 2.0 into 2.0
8.564 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.564 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.564 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.564 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.565 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.565 * [backup-simplify]: Simplify (* 1 1) into 1
8.565 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
8.565 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.565 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.565 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.565 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.566 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.566 * [backup-simplify]: Simplify (/ (pow i 3) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* i (pow (+ (* 2.0 i) 2.0) 4)))
8.566 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))) in beta
8.566 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.566 * [taylor]: Taking taylor expansion of 96.0 in beta
8.566 * [backup-simplify]: Simplify 96.0 into 96.0
8.566 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.566 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
8.566 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.566 * [taylor]: Taking taylor expansion of i in beta
8.566 * [backup-simplify]: Simplify i into i
8.566 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.566 * [taylor]: Taking taylor expansion of beta in beta
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.566 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.566 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.566 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.566 * [taylor]: Taking taylor expansion of 2.0 in beta
8.566 * [backup-simplify]: Simplify 2.0 into 2.0
8.566 * [taylor]: Taking taylor expansion of i in beta
8.566 * [backup-simplify]: Simplify i into i
8.566 * [taylor]: Taking taylor expansion of beta in beta
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.566 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.566 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.566 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.567 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.567 * [taylor]: Taking taylor expansion of 2.0 in beta
8.567 * [backup-simplify]: Simplify 2.0 into 2.0
8.567 * [taylor]: Taking taylor expansion of i in beta
8.567 * [backup-simplify]: Simplify i into i
8.567 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.567 * [taylor]: Taking taylor expansion of beta in beta
8.567 * [backup-simplify]: Simplify 0 into 0
8.567 * [backup-simplify]: Simplify 1 into 1
8.567 * [taylor]: Taking taylor expansion of 2.0 in beta
8.567 * [backup-simplify]: Simplify 2.0 into 2.0
8.567 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.567 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.567 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.567 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.568 * [backup-simplify]: Simplify (* 1 1) into 1
8.568 * [backup-simplify]: Simplify (* 1 1) into 1
8.568 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.568 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.568 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.568 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.568 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.569 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.569 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
8.569 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))) in beta
8.569 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.569 * [taylor]: Taking taylor expansion of 24.0 in beta
8.569 * [backup-simplify]: Simplify 24.0 into 24.0
8.569 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.569 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.569 * [taylor]: Taking taylor expansion of beta in beta
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.569 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.569 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.569 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.569 * [taylor]: Taking taylor expansion of 2.0 in beta
8.569 * [backup-simplify]: Simplify 2.0 into 2.0
8.569 * [taylor]: Taking taylor expansion of i in beta
8.569 * [backup-simplify]: Simplify i into i
8.569 * [taylor]: Taking taylor expansion of beta in beta
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.569 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.569 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.569 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.569 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.569 * [taylor]: Taking taylor expansion of 2.0 in beta
8.569 * [backup-simplify]: Simplify 2.0 into 2.0
8.569 * [taylor]: Taking taylor expansion of i in beta
8.569 * [backup-simplify]: Simplify i into i
8.569 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.569 * [taylor]: Taking taylor expansion of beta in beta
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify 1 into 1
8.569 * [taylor]: Taking taylor expansion of 2.0 in beta
8.569 * [backup-simplify]: Simplify 2.0 into 2.0
8.570 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.570 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.570 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.570 * [backup-simplify]: Simplify (* 1 1) into 1
8.570 * [backup-simplify]: Simplify (* 1 1) into 1
8.570 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.571 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.571 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.571 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.571 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.571 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.571 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))) in beta
8.571 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.571 * [taylor]: Taking taylor expansion of 8.0 in beta
8.571 * [backup-simplify]: Simplify 8.0 into 8.0
8.571 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.571 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.571 * [taylor]: Taking taylor expansion of beta in beta
8.571 * [backup-simplify]: Simplify 0 into 0
8.571 * [backup-simplify]: Simplify 1 into 1
8.571 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.571 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.572 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.572 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.572 * [taylor]: Taking taylor expansion of 2.0 in beta
8.572 * [backup-simplify]: Simplify 2.0 into 2.0
8.572 * [taylor]: Taking taylor expansion of i in beta
8.572 * [backup-simplify]: Simplify i into i
8.572 * [taylor]: Taking taylor expansion of beta in beta
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify 1 into 1
8.572 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.572 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.572 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.572 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.572 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.572 * [taylor]: Taking taylor expansion of 2.0 in beta
8.572 * [backup-simplify]: Simplify 2.0 into 2.0
8.572 * [taylor]: Taking taylor expansion of i in beta
8.572 * [backup-simplify]: Simplify i into i
8.572 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.572 * [taylor]: Taking taylor expansion of beta in beta
8.572 * [backup-simplify]: Simplify 0 into 0
8.572 * [backup-simplify]: Simplify 1 into 1
8.572 * [taylor]: Taking taylor expansion of 2.0 in beta
8.572 * [backup-simplify]: Simplify 2.0 into 2.0
8.572 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.572 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.572 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.573 * [backup-simplify]: Simplify (* 1 1) into 1
8.573 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.573 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.573 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.574 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.574 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.574 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.574 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))) in beta
8.574 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.574 * [taylor]: Taking taylor expansion of 48.0 in beta
8.574 * [backup-simplify]: Simplify 48.0 into 48.0
8.574 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.574 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.574 * [taylor]: Taking taylor expansion of i in beta
8.575 * [backup-simplify]: Simplify i into i
8.575 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.575 * [taylor]: Taking taylor expansion of beta in beta
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.575 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.575 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.575 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.575 * [taylor]: Taking taylor expansion of 2.0 in beta
8.575 * [backup-simplify]: Simplify 2.0 into 2.0
8.575 * [taylor]: Taking taylor expansion of i in beta
8.575 * [backup-simplify]: Simplify i into i
8.575 * [taylor]: Taking taylor expansion of beta in beta
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.575 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.575 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.575 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.575 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.575 * [taylor]: Taking taylor expansion of 2.0 in beta
8.575 * [backup-simplify]: Simplify 2.0 into 2.0
8.575 * [taylor]: Taking taylor expansion of i in beta
8.575 * [backup-simplify]: Simplify i into i
8.575 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.575 * [taylor]: Taking taylor expansion of beta in beta
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [taylor]: Taking taylor expansion of 2.0 in beta
8.575 * [backup-simplify]: Simplify 2.0 into 2.0
8.575 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.576 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.576 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.576 * [backup-simplify]: Simplify (* 1 1) into 1
8.576 * [backup-simplify]: Simplify (* i 1) into i
8.577 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.577 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.577 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.577 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.578 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.578 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
8.578 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.578 * [taylor]: Taking taylor expansion of 96.0 in beta
8.578 * [backup-simplify]: Simplify 96.0 into 96.0
8.578 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.578 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
8.578 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.578 * [taylor]: Taking taylor expansion of i in beta
8.578 * [backup-simplify]: Simplify i into i
8.578 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.578 * [taylor]: Taking taylor expansion of beta in beta
8.578 * [backup-simplify]: Simplify 0 into 0
8.578 * [backup-simplify]: Simplify 1 into 1
8.578 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.578 * [taylor]: Taking taylor expansion of 2.0 in beta
8.578 * [backup-simplify]: Simplify 2.0 into 2.0
8.578 * [taylor]: Taking taylor expansion of i in beta
8.578 * [backup-simplify]: Simplify i into i
8.578 * [taylor]: Taking taylor expansion of beta in beta
8.578 * [backup-simplify]: Simplify 0 into 0
8.578 * [backup-simplify]: Simplify 1 into 1
8.579 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.579 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.579 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.579 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.579 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.579 * [taylor]: Taking taylor expansion of 2.0 in beta
8.579 * [backup-simplify]: Simplify 2.0 into 2.0
8.579 * [taylor]: Taking taylor expansion of i in beta
8.579 * [backup-simplify]: Simplify i into i
8.579 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.579 * [taylor]: Taking taylor expansion of beta in beta
8.579 * [backup-simplify]: Simplify 0 into 0
8.579 * [backup-simplify]: Simplify 1 into 1
8.579 * [taylor]: Taking taylor expansion of 2.0 in beta
8.579 * [backup-simplify]: Simplify 2.0 into 2.0
8.579 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.579 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.580 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.580 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.580 * [backup-simplify]: Simplify (* 1 1) into 1
8.580 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.580 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.580 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.581 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.581 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.581 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.582 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
8.582 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.582 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.583 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) 0) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
8.583 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
8.584 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
8.584 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
8.585 * [backup-simplify]: Simplify (+ 0 (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
8.585 * [backup-simplify]: Simplify (+ (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) 0) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
8.585 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) in i
8.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
8.585 * [taylor]: Taking taylor expansion of 0.5 in i
8.585 * [backup-simplify]: Simplify 0.5 into 0.5
8.585 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
8.585 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
8.585 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.585 * [taylor]: Taking taylor expansion of i in i
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify 1 into 1
8.585 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
8.585 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.585 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.585 * [taylor]: Taking taylor expansion of 2.0 in i
8.586 * [backup-simplify]: Simplify 2.0 into 2.0
8.586 * [taylor]: Taking taylor expansion of i in i
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.586 * [taylor]: Taking taylor expansion of 2.0 in i
8.586 * [backup-simplify]: Simplify 2.0 into 2.0
8.589 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.590 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.590 * [backup-simplify]: Simplify (* 1 1) into 1
8.590 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.590 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
8.591 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
8.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
8.591 * [taylor]: Taking taylor expansion of 1.0 in i
8.591 * [backup-simplify]: Simplify 1.0 into 1.0
8.591 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
8.591 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
8.591 * [taylor]: Taking taylor expansion of i in i
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 1 into 1
8.591 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
8.591 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.591 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.591 * [taylor]: Taking taylor expansion of 2.0 in i
8.591 * [backup-simplify]: Simplify 2.0 into 2.0
8.591 * [taylor]: Taking taylor expansion of i in i
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 1 into 1
8.591 * [taylor]: Taking taylor expansion of 2.0 in i
8.591 * [backup-simplify]: Simplify 2.0 into 2.0
8.591 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.591 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.592 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.592 * [backup-simplify]: Simplify (* 0 4.0) into 0
8.593 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.593 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.594 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
8.595 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
8.595 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
8.596 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.596 * [backup-simplify]: Simplify (+ 0 0) into 0
8.597 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.597 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.599 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.600 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.601 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
8.602 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
8.604 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
8.606 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
8.608 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
8.608 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.608 * [backup-simplify]: Simplify (+ 0 0) into 0
8.610 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
8.612 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
8.613 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
8.614 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
8.615 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
8.615 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
8.616 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (* 0.25 (pow (* 1 (* 1 alpha)) 2)))) into (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
8.616 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
8.616 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
8.617 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
8.617 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
8.617 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.617 * [taylor]: Taking taylor expansion of alpha in i
8.617 * [backup-simplify]: Simplify alpha into alpha
8.617 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.617 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.617 * [taylor]: Taking taylor expansion of beta in i
8.617 * [backup-simplify]: Simplify beta into beta
8.617 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.617 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
8.617 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.617 * [taylor]: Taking taylor expansion of beta in i
8.617 * [backup-simplify]: Simplify beta into beta
8.617 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.617 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.617 * [taylor]: Taking taylor expansion of alpha in i
8.617 * [backup-simplify]: Simplify alpha into alpha
8.617 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.617 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.617 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.617 * [taylor]: Taking taylor expansion of alpha in i
8.617 * [backup-simplify]: Simplify alpha into alpha
8.617 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.618 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.618 * [taylor]: Taking taylor expansion of 2.0 in i
8.618 * [backup-simplify]: Simplify 2.0 into 2.0
8.618 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.618 * [taylor]: Taking taylor expansion of i in i
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify 1 into 1
8.618 * [backup-simplify]: Simplify (/ 1 1) into 1
8.618 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.618 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.618 * [taylor]: Taking taylor expansion of beta in i
8.618 * [backup-simplify]: Simplify beta into beta
8.618 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.618 * [taylor]: Taking taylor expansion of 2.0 in i
8.618 * [backup-simplify]: Simplify 2.0 into 2.0
8.618 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.618 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.618 * [taylor]: Taking taylor expansion of alpha in i
8.619 * [backup-simplify]: Simplify alpha into alpha
8.619 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.619 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.619 * [taylor]: Taking taylor expansion of 2.0 in i
8.619 * [backup-simplify]: Simplify 2.0 into 2.0
8.619 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.619 * [taylor]: Taking taylor expansion of i in i
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 1 into 1
8.619 * [backup-simplify]: Simplify (/ 1 1) into 1
8.619 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.619 * [taylor]: Taking taylor expansion of beta in i
8.619 * [backup-simplify]: Simplify beta into beta
8.619 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.619 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
8.620 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
8.620 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
8.620 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
8.620 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.621 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.621 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.622 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.622 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.623 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.623 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.623 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
8.623 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
8.623 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
8.623 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.623 * [taylor]: Taking taylor expansion of alpha in beta
8.623 * [backup-simplify]: Simplify alpha into alpha
8.624 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.624 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.624 * [taylor]: Taking taylor expansion of beta in beta
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [backup-simplify]: Simplify (/ 1 1) into 1
8.624 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
8.624 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.624 * [taylor]: Taking taylor expansion of beta in beta
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.625 * [backup-simplify]: Simplify (/ 1 1) into 1
8.625 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.625 * [taylor]: Taking taylor expansion of alpha in beta
8.625 * [backup-simplify]: Simplify alpha into alpha
8.625 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.625 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.625 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.625 * [taylor]: Taking taylor expansion of alpha in beta
8.625 * [backup-simplify]: Simplify alpha into alpha
8.625 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.625 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.625 * [taylor]: Taking taylor expansion of 2.0 in beta
8.625 * [backup-simplify]: Simplify 2.0 into 2.0
8.625 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.625 * [taylor]: Taking taylor expansion of i in beta
8.625 * [backup-simplify]: Simplify i into i
8.625 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.625 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.625 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.625 * [taylor]: Taking taylor expansion of beta in beta
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [backup-simplify]: Simplify 1 into 1
8.626 * [backup-simplify]: Simplify (/ 1 1) into 1
8.626 * [taylor]: Taking taylor expansion of 2.0 in beta
8.626 * [backup-simplify]: Simplify 2.0 into 2.0
8.626 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.626 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.626 * [taylor]: Taking taylor expansion of alpha in beta
8.626 * [backup-simplify]: Simplify alpha into alpha
8.626 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.626 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.626 * [taylor]: Taking taylor expansion of 2.0 in beta
8.626 * [backup-simplify]: Simplify 2.0 into 2.0
8.626 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.626 * [taylor]: Taking taylor expansion of i in beta
8.626 * [backup-simplify]: Simplify i into i
8.626 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.626 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.626 * [taylor]: Taking taylor expansion of beta in beta
8.626 * [backup-simplify]: Simplify 0 into 0
8.626 * [backup-simplify]: Simplify 1 into 1
8.627 * [backup-simplify]: Simplify (/ 1 1) into 1
8.627 * [backup-simplify]: Simplify (+ 0 1) into 1
8.628 * [backup-simplify]: Simplify (+ 1 0) into 1
8.629 * [backup-simplify]: Simplify (* 1 1) into 1
8.629 * [backup-simplify]: Simplify (+ 1 0) into 1
8.630 * [backup-simplify]: Simplify (+ 0 1) into 1
8.630 * [backup-simplify]: Simplify (+ 0 1) into 1
8.630 * [backup-simplify]: Simplify (+ 0 1) into 1
8.631 * [backup-simplify]: Simplify (+ 0 1) into 1
8.631 * [backup-simplify]: Simplify (* 1 1) into 1
8.631 * [backup-simplify]: Simplify (/ 1 1) into 1
8.632 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.632 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
8.632 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
8.632 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.632 * [taylor]: Taking taylor expansion of alpha in alpha
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 1 into 1
8.632 * [backup-simplify]: Simplify (/ 1 1) into 1
8.632 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.632 * [taylor]: Taking taylor expansion of beta in alpha
8.632 * [backup-simplify]: Simplify beta into beta
8.632 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.632 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
8.632 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.632 * [taylor]: Taking taylor expansion of beta in alpha
8.632 * [backup-simplify]: Simplify beta into beta
8.632 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.632 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.633 * [taylor]: Taking taylor expansion of alpha in alpha
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (/ 1 1) into 1
8.633 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.633 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.633 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.633 * [taylor]: Taking taylor expansion of alpha in alpha
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (/ 1 1) into 1
8.634 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.634 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.634 * [backup-simplify]: Simplify 2.0 into 2.0
8.634 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.634 * [taylor]: Taking taylor expansion of i in alpha
8.634 * [backup-simplify]: Simplify i into i
8.634 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.634 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.634 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.634 * [taylor]: Taking taylor expansion of beta in alpha
8.634 * [backup-simplify]: Simplify beta into beta
8.634 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.634 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.634 * [backup-simplify]: Simplify 2.0 into 2.0
8.634 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.634 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.634 * [taylor]: Taking taylor expansion of alpha in alpha
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 1 into 1
8.635 * [backup-simplify]: Simplify (/ 1 1) into 1
8.635 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.635 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.635 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.635 * [backup-simplify]: Simplify 2.0 into 2.0
8.635 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.635 * [taylor]: Taking taylor expansion of i in alpha
8.635 * [backup-simplify]: Simplify i into i
8.635 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.635 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.635 * [taylor]: Taking taylor expansion of beta in alpha
8.635 * [backup-simplify]: Simplify beta into beta
8.635 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.635 * [backup-simplify]: Simplify (+ 1 0) into 1
8.636 * [backup-simplify]: Simplify (- 1) into -1
8.636 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.637 * [backup-simplify]: Simplify (* 1 -1) into -1
8.637 * [backup-simplify]: Simplify (+ 1 0) into 1
8.637 * [backup-simplify]: Simplify (+ 1 0) into 1
8.638 * [backup-simplify]: Simplify (* 1 1) into 1
8.638 * [backup-simplify]: Simplify (/ -1 1) into -1
8.638 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.638 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
8.638 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
8.638 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.638 * [taylor]: Taking taylor expansion of alpha in alpha
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 1 into 1
8.639 * [backup-simplify]: Simplify (/ 1 1) into 1
8.639 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.639 * [taylor]: Taking taylor expansion of beta in alpha
8.639 * [backup-simplify]: Simplify beta into beta
8.639 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.639 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
8.639 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.639 * [taylor]: Taking taylor expansion of beta in alpha
8.639 * [backup-simplify]: Simplify beta into beta
8.639 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.639 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.639 * [taylor]: Taking taylor expansion of alpha in alpha
8.639 * [backup-simplify]: Simplify 0 into 0
8.639 * [backup-simplify]: Simplify 1 into 1
8.640 * [backup-simplify]: Simplify (/ 1 1) into 1
8.640 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.640 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.640 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.640 * [taylor]: Taking taylor expansion of alpha in alpha
8.640 * [backup-simplify]: Simplify 0 into 0
8.640 * [backup-simplify]: Simplify 1 into 1
8.640 * [backup-simplify]: Simplify (/ 1 1) into 1
8.640 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.640 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.640 * [backup-simplify]: Simplify 2.0 into 2.0
8.640 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.640 * [taylor]: Taking taylor expansion of i in alpha
8.640 * [backup-simplify]: Simplify i into i
8.640 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.640 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.640 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.641 * [taylor]: Taking taylor expansion of beta in alpha
8.641 * [backup-simplify]: Simplify beta into beta
8.641 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.641 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.641 * [backup-simplify]: Simplify 2.0 into 2.0
8.641 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.641 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.641 * [taylor]: Taking taylor expansion of alpha in alpha
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 1 into 1
8.641 * [backup-simplify]: Simplify (/ 1 1) into 1
8.641 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.641 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.641 * [backup-simplify]: Simplify 2.0 into 2.0
8.641 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.641 * [taylor]: Taking taylor expansion of i in alpha
8.641 * [backup-simplify]: Simplify i into i
8.641 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.641 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.642 * [taylor]: Taking taylor expansion of beta in alpha
8.642 * [backup-simplify]: Simplify beta into beta
8.642 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.642 * [backup-simplify]: Simplify (+ 1 0) into 1
8.642 * [backup-simplify]: Simplify (- 1) into -1
8.643 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.643 * [backup-simplify]: Simplify (* 1 -1) into -1
8.644 * [backup-simplify]: Simplify (+ 1 0) into 1
8.644 * [backup-simplify]: Simplify (+ 1 0) into 1
8.644 * [backup-simplify]: Simplify (* 1 1) into 1
8.645 * [backup-simplify]: Simplify (/ -1 1) into -1
8.645 * [taylor]: Taking taylor expansion of -1 in beta
8.645 * [backup-simplify]: Simplify -1 into -1
8.645 * [taylor]: Taking taylor expansion of -1 in i
8.645 * [backup-simplify]: Simplify -1 into -1
8.645 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.647 * [backup-simplify]: Simplify (- 0) into 0
8.647 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
8.648 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.649 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.649 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.649 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.650 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.650 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
8.650 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.650 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.651 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.652 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
8.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.652 * [taylor]: Taking taylor expansion of 4.0 in beta
8.652 * [backup-simplify]: Simplify 4.0 into 4.0
8.652 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.652 * [taylor]: Taking taylor expansion of i in beta
8.652 * [backup-simplify]: Simplify i into i
8.652 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.652 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
8.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.652 * [taylor]: Taking taylor expansion of 2 in beta
8.652 * [backup-simplify]: Simplify 2 into 2
8.652 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.652 * [taylor]: Taking taylor expansion of beta in beta
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 1 into 1
8.652 * [backup-simplify]: Simplify (/ 1 1) into 1
8.652 * [taylor]: Taking taylor expansion of 2.0 in beta
8.652 * [backup-simplify]: Simplify 2.0 into 2.0
8.652 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.654 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.654 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
8.654 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
8.654 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.654 * [taylor]: Taking taylor expansion of 4.0 in i
8.654 * [backup-simplify]: Simplify 4.0 into 4.0
8.654 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.654 * [taylor]: Taking taylor expansion of i in i
8.654 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify 1 into 1
8.654 * [backup-simplify]: Simplify (/ 1 1) into 1
8.654 * [taylor]: Taking taylor expansion of 2.0 in i
8.654 * [backup-simplify]: Simplify 2.0 into 2.0
8.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (+ 0 0) into 0
8.656 * [backup-simplify]: Simplify 0 into 0
8.656 * [taylor]: Taking taylor expansion of 0 in i
8.657 * [backup-simplify]: Simplify 0 into 0
8.657 * [backup-simplify]: Simplify 0 into 0
8.657 * [backup-simplify]: Simplify 0 into 0
8.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.658 * [backup-simplify]: Simplify (- 0) into 0
8.658 * [backup-simplify]: Simplify (+ 0 0) into 0
8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.659 * [backup-simplify]: Simplify (+ 0 0) into 0
8.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
8.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.660 * [backup-simplify]: Simplify (+ 0 0) into 0
8.661 * [backup-simplify]: Simplify (+ 0 0) into 0
8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.662 * [backup-simplify]: Simplify (+ 0 0) into 0
8.662 * [backup-simplify]: Simplify (+ 0 0) into 0
8.662 * [backup-simplify]: Simplify (+ 0 0) into 0
8.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
8.664 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
8.664 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) in beta
8.664 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) in beta
8.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.665 * [taylor]: Taking taylor expansion of 2 in beta
8.665 * [backup-simplify]: Simplify 2 into 2
8.665 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.665 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.665 * [taylor]: Taking taylor expansion of beta in beta
8.665 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify 1 into 1
8.665 * [backup-simplify]: Simplify (* 1 1) into 1
8.665 * [backup-simplify]: Simplify (/ 1 1) into 1
8.665 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))) in beta
8.665 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.665 * [taylor]: Taking taylor expansion of 12.0 in beta
8.665 * [backup-simplify]: Simplify 12.0 into 12.0
8.665 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.665 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.665 * [taylor]: Taking taylor expansion of i in beta
8.665 * [backup-simplify]: Simplify i into i
8.665 * [taylor]: Taking taylor expansion of beta in beta
8.665 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify 1 into 1
8.665 * [backup-simplify]: Simplify (* i 0) into 0
8.666 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.666 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.666 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
8.666 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.666 * [taylor]: Taking taylor expansion of 12.0 in beta
8.666 * [backup-simplify]: Simplify 12.0 into 12.0
8.666 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.666 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.666 * [taylor]: Taking taylor expansion of i in beta
8.666 * [backup-simplify]: Simplify i into i
8.666 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.666 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.666 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
8.666 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.666 * [taylor]: Taking taylor expansion of 12.0 in beta
8.666 * [backup-simplify]: Simplify 12.0 into 12.0
8.666 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.666 * [taylor]: Taking taylor expansion of i in beta
8.666 * [backup-simplify]: Simplify i into i
8.666 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.666 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
8.666 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.666 * [taylor]: Taking taylor expansion of 6.0 in beta
8.666 * [backup-simplify]: Simplify 6.0 into 6.0
8.666 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.666 * [taylor]: Taking taylor expansion of beta in beta
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify 1 into 1
8.666 * [backup-simplify]: Simplify (/ 1 1) into 1
8.666 * [taylor]: Taking taylor expansion of 4.0 in beta
8.666 * [backup-simplify]: Simplify 4.0 into 4.0
8.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.669 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.670 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.670 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.670 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.671 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.671 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
8.671 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
8.671 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
8.672 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
8.672 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
8.672 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
8.672 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
8.672 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.672 * [taylor]: Taking taylor expansion of 12.0 in i
8.672 * [backup-simplify]: Simplify 12.0 into 12.0
8.672 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.672 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.672 * [taylor]: Taking taylor expansion of i in i
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 1 into 1
8.672 * [backup-simplify]: Simplify (* 1 1) into 1
8.672 * [backup-simplify]: Simplify (/ 1 1) into 1
8.673 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
8.673 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.673 * [taylor]: Taking taylor expansion of 12.0 in i
8.673 * [backup-simplify]: Simplify 12.0 into 12.0
8.673 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.673 * [taylor]: Taking taylor expansion of i in i
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (/ 1 1) into 1
8.673 * [taylor]: Taking taylor expansion of 4.0 in i
8.673 * [backup-simplify]: Simplify 4.0 into 4.0
8.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.678 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (+ 0 0) into 0
8.680 * [backup-simplify]: Simplify (+ 0 0) into 0
8.681 * [backup-simplify]: Simplify (- 0) into 0
8.681 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.681 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.684 * [backup-simplify]: Simplify (+ 0 0) into 0
8.684 * [backup-simplify]: Simplify (+ 0 0) into 0
8.684 * [taylor]: Taking taylor expansion of 0 in i
8.684 * [backup-simplify]: Simplify 0 into 0
8.684 * [backup-simplify]: Simplify 0 into 0
8.684 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
8.685 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
8.685 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.685 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
8.685 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
8.685 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.686 * [taylor]: Taking taylor expansion of alpha in i
8.686 * [backup-simplify]: Simplify alpha into alpha
8.686 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.686 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.686 * [taylor]: Taking taylor expansion of beta in i
8.686 * [backup-simplify]: Simplify beta into beta
8.686 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.686 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
8.686 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.686 * [taylor]: Taking taylor expansion of alpha in i
8.686 * [backup-simplify]: Simplify alpha into alpha
8.686 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.686 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.686 * [taylor]: Taking taylor expansion of beta in i
8.686 * [backup-simplify]: Simplify beta into beta
8.686 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.686 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.686 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.686 * [taylor]: Taking taylor expansion of 2.0 in i
8.686 * [backup-simplify]: Simplify 2.0 into 2.0
8.686 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.686 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.686 * [taylor]: Taking taylor expansion of alpha in i
8.686 * [backup-simplify]: Simplify alpha into alpha
8.686 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.686 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.686 * [taylor]: Taking taylor expansion of 2.0 in i
8.686 * [backup-simplify]: Simplify 2.0 into 2.0
8.686 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.686 * [taylor]: Taking taylor expansion of i in i
8.687 * [backup-simplify]: Simplify 0 into 0
8.687 * [backup-simplify]: Simplify 1 into 1
8.687 * [backup-simplify]: Simplify (/ 1 1) into 1
8.687 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.687 * [taylor]: Taking taylor expansion of beta in i
8.687 * [backup-simplify]: Simplify beta into beta
8.687 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.687 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.687 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.687 * [taylor]: Taking taylor expansion of alpha in i
8.687 * [backup-simplify]: Simplify alpha into alpha
8.687 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.687 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.687 * [taylor]: Taking taylor expansion of 2.0 in i
8.687 * [backup-simplify]: Simplify 2.0 into 2.0
8.687 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.688 * [taylor]: Taking taylor expansion of i in i
8.688 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify 1 into 1
8.688 * [backup-simplify]: Simplify (/ 1 1) into 1
8.688 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.688 * [taylor]: Taking taylor expansion of beta in i
8.688 * [backup-simplify]: Simplify beta into beta
8.688 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.688 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
8.688 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
8.689 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
8.689 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
8.689 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.690 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.690 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.690 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.691 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.692 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.692 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.693 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.693 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
8.694 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
8.694 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.694 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
8.694 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
8.694 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.694 * [taylor]: Taking taylor expansion of alpha in beta
8.694 * [backup-simplify]: Simplify alpha into alpha
8.694 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.694 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.694 * [taylor]: Taking taylor expansion of beta in beta
8.694 * [backup-simplify]: Simplify 0 into 0
8.694 * [backup-simplify]: Simplify 1 into 1
8.694 * [backup-simplify]: Simplify (/ 1 1) into 1
8.694 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
8.694 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.694 * [taylor]: Taking taylor expansion of alpha in beta
8.694 * [backup-simplify]: Simplify alpha into alpha
8.694 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.694 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.695 * [taylor]: Taking taylor expansion of beta in beta
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify 1 into 1
8.699 * [backup-simplify]: Simplify (/ 1 1) into 1
8.699 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.699 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.699 * [taylor]: Taking taylor expansion of 2.0 in beta
8.699 * [backup-simplify]: Simplify 2.0 into 2.0
8.699 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.699 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.699 * [taylor]: Taking taylor expansion of alpha in beta
8.699 * [backup-simplify]: Simplify alpha into alpha
8.699 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.699 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.699 * [taylor]: Taking taylor expansion of 2.0 in beta
8.699 * [backup-simplify]: Simplify 2.0 into 2.0
8.699 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.699 * [taylor]: Taking taylor expansion of i in beta
8.699 * [backup-simplify]: Simplify i into i
8.699 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.699 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.700 * [taylor]: Taking taylor expansion of beta in beta
8.700 * [backup-simplify]: Simplify 0 into 0
8.700 * [backup-simplify]: Simplify 1 into 1
8.700 * [backup-simplify]: Simplify (/ 1 1) into 1
8.700 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.700 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.700 * [taylor]: Taking taylor expansion of alpha in beta
8.700 * [backup-simplify]: Simplify alpha into alpha
8.700 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.700 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.700 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.700 * [taylor]: Taking taylor expansion of 2.0 in beta
8.700 * [backup-simplify]: Simplify 2.0 into 2.0
8.700 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.701 * [taylor]: Taking taylor expansion of i in beta
8.701 * [backup-simplify]: Simplify i into i
8.701 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.701 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.701 * [taylor]: Taking taylor expansion of beta in beta
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 1 into 1
8.701 * [backup-simplify]: Simplify (/ 1 1) into 1
8.701 * [backup-simplify]: Simplify (- 1) into -1
8.702 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.702 * [backup-simplify]: Simplify (+ 0 1) into 1
8.703 * [backup-simplify]: Simplify (* -1 1) into -1
8.703 * [backup-simplify]: Simplify (+ 0 1) into 1
8.703 * [backup-simplify]: Simplify (+ 0 1) into 1
8.704 * [backup-simplify]: Simplify (- 1) into -1
8.704 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.705 * [backup-simplify]: Simplify (+ 0 1) into 1
8.705 * [backup-simplify]: Simplify (+ 0 1) into 1
8.705 * [backup-simplify]: Simplify (* -1 1) into -1
8.706 * [backup-simplify]: Simplify (/ -1 -1) into 1
8.706 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.706 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
8.706 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
8.706 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.706 * [taylor]: Taking taylor expansion of alpha in alpha
8.706 * [backup-simplify]: Simplify 0 into 0
8.706 * [backup-simplify]: Simplify 1 into 1
8.706 * [backup-simplify]: Simplify (/ 1 1) into 1
8.706 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.706 * [taylor]: Taking taylor expansion of beta in alpha
8.706 * [backup-simplify]: Simplify beta into beta
8.707 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
8.707 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.707 * [taylor]: Taking taylor expansion of alpha in alpha
8.707 * [backup-simplify]: Simplify 0 into 0
8.707 * [backup-simplify]: Simplify 1 into 1
8.707 * [backup-simplify]: Simplify (/ 1 1) into 1
8.707 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.707 * [taylor]: Taking taylor expansion of beta in alpha
8.707 * [backup-simplify]: Simplify beta into beta
8.707 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.707 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.707 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.707 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.707 * [backup-simplify]: Simplify 2.0 into 2.0
8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.707 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.707 * [taylor]: Taking taylor expansion of alpha in alpha
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 1 into 1
8.708 * [backup-simplify]: Simplify (/ 1 1) into 1
8.708 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.708 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.708 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.708 * [backup-simplify]: Simplify 2.0 into 2.0
8.708 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.708 * [taylor]: Taking taylor expansion of i in alpha
8.708 * [backup-simplify]: Simplify i into i
8.708 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.708 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.708 * [taylor]: Taking taylor expansion of beta in alpha
8.708 * [backup-simplify]: Simplify beta into beta
8.708 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.708 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.708 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.708 * [taylor]: Taking taylor expansion of alpha in alpha
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 1 into 1
8.709 * [backup-simplify]: Simplify (/ 1 1) into 1
8.709 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.709 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.709 * [backup-simplify]: Simplify 2.0 into 2.0
8.709 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.709 * [taylor]: Taking taylor expansion of i in alpha
8.709 * [backup-simplify]: Simplify i into i
8.709 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.709 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.709 * [taylor]: Taking taylor expansion of beta in alpha
8.709 * [backup-simplify]: Simplify beta into beta
8.709 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.710 * [backup-simplify]: Simplify (+ 1 0) into 1
8.710 * [backup-simplify]: Simplify (+ 1 0) into 1
8.710 * [backup-simplify]: Simplify (* 1 1) into 1
8.711 * [backup-simplify]: Simplify (+ 1 0) into 1
8.711 * [backup-simplify]: Simplify (- 1) into -1
8.711 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.712 * [backup-simplify]: Simplify (+ 1 0) into 1
8.712 * [backup-simplify]: Simplify (* -1 1) into -1
8.713 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.713 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.713 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
8.713 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
8.713 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.713 * [taylor]: Taking taylor expansion of alpha in alpha
8.713 * [backup-simplify]: Simplify 0 into 0
8.713 * [backup-simplify]: Simplify 1 into 1
8.713 * [backup-simplify]: Simplify (/ 1 1) into 1
8.713 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.713 * [taylor]: Taking taylor expansion of beta in alpha
8.713 * [backup-simplify]: Simplify beta into beta
8.713 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.713 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
8.713 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.713 * [taylor]: Taking taylor expansion of alpha in alpha
8.714 * [backup-simplify]: Simplify 0 into 0
8.714 * [backup-simplify]: Simplify 1 into 1
8.714 * [backup-simplify]: Simplify (/ 1 1) into 1
8.714 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.714 * [taylor]: Taking taylor expansion of beta in alpha
8.714 * [backup-simplify]: Simplify beta into beta
8.714 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.714 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.714 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.714 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.714 * [backup-simplify]: Simplify 2.0 into 2.0
8.714 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.714 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.714 * [taylor]: Taking taylor expansion of alpha in alpha
8.714 * [backup-simplify]: Simplify 0 into 0
8.714 * [backup-simplify]: Simplify 1 into 1
8.715 * [backup-simplify]: Simplify (/ 1 1) into 1
8.715 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.715 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.715 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.715 * [backup-simplify]: Simplify 2.0 into 2.0
8.715 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.715 * [taylor]: Taking taylor expansion of i in alpha
8.715 * [backup-simplify]: Simplify i into i
8.715 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.715 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.715 * [taylor]: Taking taylor expansion of beta in alpha
8.715 * [backup-simplify]: Simplify beta into beta
8.715 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.715 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.715 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.715 * [taylor]: Taking taylor expansion of alpha in alpha
8.715 * [backup-simplify]: Simplify 0 into 0
8.715 * [backup-simplify]: Simplify 1 into 1
8.716 * [backup-simplify]: Simplify (/ 1 1) into 1
8.716 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.716 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.716 * [backup-simplify]: Simplify 2.0 into 2.0
8.716 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.716 * [taylor]: Taking taylor expansion of i in alpha
8.716 * [backup-simplify]: Simplify i into i
8.716 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.716 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.716 * [taylor]: Taking taylor expansion of beta in alpha
8.716 * [backup-simplify]: Simplify beta into beta
8.716 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.717 * [backup-simplify]: Simplify (+ 1 0) into 1
8.717 * [backup-simplify]: Simplify (+ 1 0) into 1
8.717 * [backup-simplify]: Simplify (* 1 1) into 1
8.718 * [backup-simplify]: Simplify (+ 1 0) into 1
8.718 * [backup-simplify]: Simplify (- 1) into -1
8.718 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.719 * [backup-simplify]: Simplify (+ 1 0) into 1
8.719 * [backup-simplify]: Simplify (* -1 1) into -1
8.720 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.720 * [taylor]: Taking taylor expansion of -1 in beta
8.720 * [backup-simplify]: Simplify -1 into -1
8.720 * [taylor]: Taking taylor expansion of -1 in i
8.720 * [backup-simplify]: Simplify -1 into -1
8.720 * [backup-simplify]: Simplify 0 into 0
8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.720 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.721 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
8.721 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
8.721 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
8.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.722 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.722 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.722 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.722 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.722 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.723 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.723 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.723 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.723 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
8.723 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.723 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
8.724 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
8.724 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.724 * [taylor]: Taking taylor expansion of 4.0 in beta
8.724 * [backup-simplify]: Simplify 4.0 into 4.0
8.724 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.724 * [taylor]: Taking taylor expansion of i in beta
8.724 * [backup-simplify]: Simplify i into i
8.724 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.724 * [taylor]: Taking taylor expansion of 2 in beta
8.724 * [backup-simplify]: Simplify 2 into 2
8.724 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.724 * [taylor]: Taking taylor expansion of beta in beta
8.724 * [backup-simplify]: Simplify 0 into 0
8.724 * [backup-simplify]: Simplify 1 into 1
8.724 * [backup-simplify]: Simplify (/ 1 1) into 1
8.724 * [taylor]: Taking taylor expansion of 2.0 in beta
8.724 * [backup-simplify]: Simplify 2.0 into 2.0
8.724 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.725 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.725 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
8.725 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.726 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
8.726 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
8.726 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.726 * [taylor]: Taking taylor expansion of 4.0 in i
8.726 * [backup-simplify]: Simplify 4.0 into 4.0
8.726 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.726 * [taylor]: Taking taylor expansion of i in i
8.726 * [backup-simplify]: Simplify 0 into 0
8.726 * [backup-simplify]: Simplify 1 into 1
8.726 * [backup-simplify]: Simplify (/ 1 1) into 1
8.726 * [taylor]: Taking taylor expansion of 2.0 in i
8.726 * [backup-simplify]: Simplify 2.0 into 2.0
8.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.728 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.728 * [backup-simplify]: Simplify (- 0) into 0
8.728 * [backup-simplify]: Simplify (+ 0 0) into 0
8.728 * [backup-simplify]: Simplify 0 into 0
8.729 * [taylor]: Taking taylor expansion of 0 in i
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.729 * [backup-simplify]: Simplify (+ 0 0) into 0
8.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.730 * [backup-simplify]: Simplify (- 0) into 0
8.730 * [backup-simplify]: Simplify (+ 0 0) into 0
8.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
8.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.732 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.732 * [backup-simplify]: Simplify (+ 0 0) into 0
8.732 * [backup-simplify]: Simplify (+ 0 0) into 0
8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.733 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.734 * [backup-simplify]: Simplify (+ 0 0) into 0
8.734 * [backup-simplify]: Simplify (+ 0 0) into 0
8.734 * [backup-simplify]: Simplify (- 0) into 0
8.734 * [backup-simplify]: Simplify (+ 0 0) into 0
8.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
8.736 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) -1) (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))
8.736 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
8.736 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
8.736 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.736 * [taylor]: Taking taylor expansion of 6.0 in beta
8.736 * [backup-simplify]: Simplify 6.0 into 6.0
8.737 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.737 * [taylor]: Taking taylor expansion of beta in beta
8.737 * [backup-simplify]: Simplify 0 into 0
8.737 * [backup-simplify]: Simplify 1 into 1
8.737 * [backup-simplify]: Simplify (/ 1 1) into 1
8.737 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.737 * [taylor]: Taking taylor expansion of 12.0 in beta
8.737 * [backup-simplify]: Simplify 12.0 into 12.0
8.737 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.737 * [taylor]: Taking taylor expansion of i in beta
8.737 * [backup-simplify]: Simplify i into i
8.737 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.737 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
8.737 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.737 * [taylor]: Taking taylor expansion of 2 in beta
8.737 * [backup-simplify]: Simplify 2 into 2
8.737 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.737 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.737 * [taylor]: Taking taylor expansion of beta in beta
8.737 * [backup-simplify]: Simplify 0 into 0
8.737 * [backup-simplify]: Simplify 1 into 1
8.737 * [backup-simplify]: Simplify (* 1 1) into 1
8.738 * [backup-simplify]: Simplify (/ 1 1) into 1
8.738 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
8.738 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.738 * [taylor]: Taking taylor expansion of 12.0 in beta
8.738 * [backup-simplify]: Simplify 12.0 into 12.0
8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.738 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.738 * [taylor]: Taking taylor expansion of i in beta
8.738 * [backup-simplify]: Simplify i into i
8.738 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.738 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.738 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
8.738 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.738 * [taylor]: Taking taylor expansion of 12.0 in beta
8.738 * [backup-simplify]: Simplify 12.0 into 12.0
8.738 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.738 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.738 * [taylor]: Taking taylor expansion of i in beta
8.738 * [backup-simplify]: Simplify i into i
8.738 * [taylor]: Taking taylor expansion of beta in beta
8.738 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify 1 into 1
8.738 * [backup-simplify]: Simplify (* i 0) into 0
8.738 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.739 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.739 * [taylor]: Taking taylor expansion of 4.0 in beta
8.739 * [backup-simplify]: Simplify 4.0 into 4.0
8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.739 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.739 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.739 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
8.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.742 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.743 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.743 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.743 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.743 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
8.743 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
8.744 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.744 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.744 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
8.744 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.744 * [taylor]: Taking taylor expansion of 12.0 in i
8.744 * [backup-simplify]: Simplify 12.0 into 12.0
8.744 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.744 * [taylor]: Taking taylor expansion of i in i
8.744 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify 1 into 1
8.744 * [backup-simplify]: Simplify (/ 1 1) into 1
8.744 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
8.744 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.744 * [taylor]: Taking taylor expansion of 12.0 in i
8.744 * [backup-simplify]: Simplify 12.0 into 12.0
8.744 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.744 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.744 * [taylor]: Taking taylor expansion of i in i
8.744 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify (* 1 1) into 1
8.745 * [backup-simplify]: Simplify (/ 1 1) into 1
8.745 * [taylor]: Taking taylor expansion of 4.0 in i
8.745 * [backup-simplify]: Simplify 4.0 into 4.0
8.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.747 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.754 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.755 * [backup-simplify]: Simplify (+ 0 0) into 0
8.755 * [backup-simplify]: Simplify (- 0) into 0
8.755 * [backup-simplify]: Simplify (+ 0 0) into 0
8.755 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.756 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.758 * [backup-simplify]: Simplify (+ 0 0) into 0
8.759 * [backup-simplify]: Simplify (- 0) into 0
8.759 * [backup-simplify]: Simplify (+ 0 0) into 0
8.759 * [taylor]: Taking taylor expansion of 0 in i
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2)
8.760 * [backup-simplify]: Simplify (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) into (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
8.760 * [approximate]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (beta alpha i) around 0
8.760 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.760 * [taylor]: Taking taylor expansion of (- beta alpha) in i
8.760 * [taylor]: Taking taylor expansion of beta in i
8.760 * [backup-simplify]: Simplify beta into beta
8.760 * [taylor]: Taking taylor expansion of alpha in i
8.760 * [backup-simplify]: Simplify alpha into alpha
8.760 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.760 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.760 * [taylor]: Taking taylor expansion of alpha in i
8.760 * [backup-simplify]: Simplify alpha into alpha
8.760 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.760 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.760 * [taylor]: Taking taylor expansion of 2.0 in i
8.760 * [backup-simplify]: Simplify 2.0 into 2.0
8.760 * [taylor]: Taking taylor expansion of i in i
8.760 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify 1 into 1
8.760 * [taylor]: Taking taylor expansion of beta in i
8.761 * [backup-simplify]: Simplify beta into beta
8.761 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.761 * [taylor]: Taking taylor expansion of alpha in i
8.761 * [backup-simplify]: Simplify alpha into alpha
8.761 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.761 * [taylor]: Taking taylor expansion of 2.0 in i
8.761 * [backup-simplify]: Simplify 2.0 into 2.0
8.761 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.761 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.761 * [taylor]: Taking taylor expansion of 2.0 in i
8.761 * [backup-simplify]: Simplify 2.0 into 2.0
8.761 * [taylor]: Taking taylor expansion of i in i
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 1 into 1
8.761 * [taylor]: Taking taylor expansion of beta in i
8.761 * [backup-simplify]: Simplify beta into beta
8.761 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.761 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
8.762 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.762 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.762 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.762 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.762 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.762 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.762 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.762 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.763 * [backup-simplify]: Simplify (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
8.763 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.763 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
8.763 * [taylor]: Taking taylor expansion of beta in alpha
8.763 * [backup-simplify]: Simplify beta into beta
8.763 * [taylor]: Taking taylor expansion of alpha in alpha
8.763 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify 1 into 1
8.763 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.763 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.763 * [taylor]: Taking taylor expansion of alpha in alpha
8.763 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify 1 into 1
8.763 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.763 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.763 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.763 * [backup-simplify]: Simplify 2.0 into 2.0
8.763 * [taylor]: Taking taylor expansion of i in alpha
8.763 * [backup-simplify]: Simplify i into i
8.763 * [taylor]: Taking taylor expansion of beta in alpha
8.763 * [backup-simplify]: Simplify beta into beta
8.763 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.763 * [taylor]: Taking taylor expansion of alpha in alpha
8.763 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify 1 into 1
8.763 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.763 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.763 * [backup-simplify]: Simplify 2.0 into 2.0
8.763 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.763 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.763 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.764 * [backup-simplify]: Simplify 2.0 into 2.0
8.764 * [taylor]: Taking taylor expansion of i in alpha
8.764 * [backup-simplify]: Simplify i into i
8.764 * [taylor]: Taking taylor expansion of beta in alpha
8.764 * [backup-simplify]: Simplify beta into beta
8.764 * [backup-simplify]: Simplify (- 0) into 0
8.764 * [backup-simplify]: Simplify (+ beta 0) into beta
8.764 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.764 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.764 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.764 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.765 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.765 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.765 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.765 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.765 * [backup-simplify]: Simplify (/ beta (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ beta (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.765 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.765 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
8.765 * [taylor]: Taking taylor expansion of beta in beta
8.765 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify 1 into 1
8.765 * [taylor]: Taking taylor expansion of alpha in beta
8.765 * [backup-simplify]: Simplify alpha into alpha
8.766 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.766 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.766 * [taylor]: Taking taylor expansion of alpha in beta
8.766 * [backup-simplify]: Simplify alpha into alpha
8.766 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.766 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.766 * [taylor]: Taking taylor expansion of 2.0 in beta
8.766 * [backup-simplify]: Simplify 2.0 into 2.0
8.766 * [taylor]: Taking taylor expansion of i in beta
8.766 * [backup-simplify]: Simplify i into i
8.766 * [taylor]: Taking taylor expansion of beta in beta
8.766 * [backup-simplify]: Simplify 0 into 0
8.766 * [backup-simplify]: Simplify 1 into 1
8.766 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.766 * [taylor]: Taking taylor expansion of alpha in beta
8.766 * [backup-simplify]: Simplify alpha into alpha
8.766 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.766 * [taylor]: Taking taylor expansion of 2.0 in beta
8.766 * [backup-simplify]: Simplify 2.0 into 2.0
8.766 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.766 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.766 * [taylor]: Taking taylor expansion of 2.0 in beta
8.766 * [backup-simplify]: Simplify 2.0 into 2.0
8.766 * [taylor]: Taking taylor expansion of i in beta
8.766 * [backup-simplify]: Simplify i into i
8.766 * [taylor]: Taking taylor expansion of beta in beta
8.766 * [backup-simplify]: Simplify 0 into 0
8.766 * [backup-simplify]: Simplify 1 into 1
8.766 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.766 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
8.766 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.766 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.767 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.767 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.767 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.767 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.767 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.767 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.767 * [backup-simplify]: Simplify (/ (- alpha) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
8.767 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.767 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
8.767 * [taylor]: Taking taylor expansion of beta in beta
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 1 into 1
8.768 * [taylor]: Taking taylor expansion of alpha in beta
8.768 * [backup-simplify]: Simplify alpha into alpha
8.768 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.768 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.768 * [taylor]: Taking taylor expansion of alpha in beta
8.768 * [backup-simplify]: Simplify alpha into alpha
8.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.768 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.768 * [taylor]: Taking taylor expansion of 2.0 in beta
8.768 * [backup-simplify]: Simplify 2.0 into 2.0
8.768 * [taylor]: Taking taylor expansion of i in beta
8.768 * [backup-simplify]: Simplify i into i
8.768 * [taylor]: Taking taylor expansion of beta in beta
8.768 * [backup-simplify]: Simplify 0 into 0
8.768 * [backup-simplify]: Simplify 1 into 1
8.768 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.768 * [taylor]: Taking taylor expansion of alpha in beta
8.768 * [backup-simplify]: Simplify alpha into alpha
8.768 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.768 * [taylor]: Taking taylor expansion of 2.0 in beta
8.768 * [backup-simplify]: Simplify 2.0 into 2.0
8.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.768 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.768 * [taylor]: Taking taylor expansion of 2.0 in beta
8.768 * [backup-simplify]: Simplify 2.0 into 2.0
8.768 * [taylor]: Taking taylor expansion of i in beta
8.768 * [backup-simplify]: Simplify i into i
8.768 * [taylor]: Taking taylor expansion of beta in beta
8.768 * [backup-simplify]: Simplify 0 into 0
8.768 * [backup-simplify]: Simplify 1 into 1
8.768 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.768 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
8.769 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.769 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.769 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.769 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.769 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.769 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.769 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.769 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.769 * [backup-simplify]: Simplify (/ (- alpha) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
8.770 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
8.770 * [taylor]: Taking taylor expansion of -1 in alpha
8.770 * [backup-simplify]: Simplify -1 into -1
8.770 * [taylor]: Taking taylor expansion of (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
8.770 * [taylor]: Taking taylor expansion of alpha in alpha
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify 1 into 1
8.770 * [taylor]: Taking taylor expansion of (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) in alpha
8.770 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.770 * [taylor]: Taking taylor expansion of alpha in alpha
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify 1 into 1
8.770 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.770 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.770 * [backup-simplify]: Simplify 2.0 into 2.0
8.770 * [taylor]: Taking taylor expansion of i in alpha
8.770 * [backup-simplify]: Simplify i into i
8.770 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.770 * [taylor]: Taking taylor expansion of alpha in alpha
8.770 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify 1 into 1
8.770 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.770 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.770 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.770 * [backup-simplify]: Simplify 2.0 into 2.0
8.770 * [taylor]: Taking taylor expansion of i in alpha
8.770 * [backup-simplify]: Simplify i into i
8.770 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.770 * [backup-simplify]: Simplify 2.0 into 2.0
8.771 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.771 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.771 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.771 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.771 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.771 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.771 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.772 * [backup-simplify]: Simplify (- 0) into 0
8.772 * [backup-simplify]: Simplify (+ 1 0) into 1
8.773 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.773 * [backup-simplify]: Simplify (+ 0 1) into 1
8.773 * [backup-simplify]: Simplify (+ 0 1) into 1
8.774 * [backup-simplify]: Simplify (+ 0 1) into 1
8.774 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.775 * [backup-simplify]: Simplify (+ 0 1) into 1
8.775 * [backup-simplify]: Simplify (+ 0 1) into 1
8.775 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 1) (* 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (+ (* 2 alpha) (+ (* 4.0 i) 2.0))
8.777 * [backup-simplify]: Simplify (- (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) (+ (* (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) (/ (+ (* 2 alpha) (+ (* 4.0 i) 2.0)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) into (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))))))
8.777 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) in alpha
8.777 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
8.777 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.777 * [backup-simplify]: Simplify 4.0 into 4.0
8.777 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
8.777 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
8.777 * [taylor]: Taking taylor expansion of alpha in alpha
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify 1 into 1
8.777 * [taylor]: Taking taylor expansion of i in alpha
8.777 * [backup-simplify]: Simplify i into i
8.777 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
8.778 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
8.778 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.778 * [taylor]: Taking taylor expansion of alpha in alpha
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.778 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.778 * [backup-simplify]: Simplify 2.0 into 2.0
8.778 * [taylor]: Taking taylor expansion of i in alpha
8.778 * [backup-simplify]: Simplify i into i
8.778 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.778 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.778 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
8.778 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.778 * [taylor]: Taking taylor expansion of alpha in alpha
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.778 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.778 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.778 * [backup-simplify]: Simplify 2.0 into 2.0
8.778 * [taylor]: Taking taylor expansion of i in alpha
8.778 * [backup-simplify]: Simplify i into i
8.778 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.778 * [backup-simplify]: Simplify 2.0 into 2.0
8.778 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.778 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.779 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.779 * [backup-simplify]: Simplify (* 0 i) into 0
8.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
8.779 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.779 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.780 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.780 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.780 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))))) in alpha
8.780 * [taylor]: Taking taylor expansion of (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
8.780 * [taylor]: Taking taylor expansion of 2 in alpha
8.780 * [backup-simplify]: Simplify 2 into 2
8.780 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
8.780 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.780 * [taylor]: Taking taylor expansion of alpha in alpha
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify 1 into 1
8.781 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
8.781 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
8.781 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.781 * [taylor]: Taking taylor expansion of alpha in alpha
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify 1 into 1
8.781 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.781 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.781 * [backup-simplify]: Simplify 2.0 into 2.0
8.781 * [taylor]: Taking taylor expansion of i in alpha
8.781 * [backup-simplify]: Simplify i into i
8.781 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.781 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.781 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
8.781 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.781 * [taylor]: Taking taylor expansion of alpha in alpha
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify 1 into 1
8.781 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.781 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.781 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.781 * [backup-simplify]: Simplify 2.0 into 2.0
8.781 * [taylor]: Taking taylor expansion of i in alpha
8.781 * [backup-simplify]: Simplify i into i
8.781 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.781 * [backup-simplify]: Simplify 2.0 into 2.0
8.781 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.782 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.782 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.782 * [backup-simplify]: Simplify (* 1 1) into 1
8.782 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.782 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.783 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.783 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.783 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))) in alpha
8.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
8.783 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.783 * [backup-simplify]: Simplify 2.0 into 2.0
8.783 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
8.783 * [taylor]: Taking taylor expansion of alpha in alpha
8.783 * [backup-simplify]: Simplify 0 into 0
8.783 * [backup-simplify]: Simplify 1 into 1
8.783 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
8.784 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
8.784 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.784 * [taylor]: Taking taylor expansion of alpha in alpha
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 1 into 1
8.784 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.784 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.784 * [backup-simplify]: Simplify 2.0 into 2.0
8.784 * [taylor]: Taking taylor expansion of i in alpha
8.784 * [backup-simplify]: Simplify i into i
8.784 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.784 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.784 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
8.784 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.784 * [taylor]: Taking taylor expansion of alpha in alpha
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 1 into 1
8.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.784 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.784 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.784 * [backup-simplify]: Simplify 2.0 into 2.0
8.784 * [taylor]: Taking taylor expansion of i in alpha
8.784 * [backup-simplify]: Simplify i into i
8.784 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.784 * [backup-simplify]: Simplify 2.0 into 2.0
8.784 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.784 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.785 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.785 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.785 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.785 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.786 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.786 * [taylor]: Taking taylor expansion of (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) in alpha
8.786 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))) in alpha
8.786 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.786 * [taylor]: Taking taylor expansion of alpha in alpha
8.786 * [backup-simplify]: Simplify 0 into 0
8.786 * [backup-simplify]: Simplify 1 into 1
8.786 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.786 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.786 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.786 * [backup-simplify]: Simplify 2.0 into 2.0
8.786 * [taylor]: Taking taylor expansion of i in alpha
8.786 * [backup-simplify]: Simplify i into i
8.786 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.786 * [backup-simplify]: Simplify 2.0 into 2.0
8.786 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.786 * [taylor]: Taking taylor expansion of alpha in alpha
8.786 * [backup-simplify]: Simplify 0 into 0
8.786 * [backup-simplify]: Simplify 1 into 1
8.786 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.786 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.786 * [backup-simplify]: Simplify 2.0 into 2.0
8.786 * [taylor]: Taking taylor expansion of i in alpha
8.786 * [backup-simplify]: Simplify i into i
8.786 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.786 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.786 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.786 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.787 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.787 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (* 2.0 i)) into (* 2.0 (* (+ (* 2.0 i) 2.0) i))
8.787 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* (+ (* 2.0 i) 2.0) i))) into (/ 0.5 (* (+ (* 2.0 i) 2.0) i))
8.787 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (* (+ (* 2.0 i) 2.0) i))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
8.787 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
8.787 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
8.787 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i))) in i
8.787 * [taylor]: Taking taylor expansion of 0.5 in i
8.788 * [backup-simplify]: Simplify 0.5 into 0.5
8.788 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) 2.0) i)) in i
8.788 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) 2.0) i) in i
8.788 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.788 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.788 * [taylor]: Taking taylor expansion of 2.0 in i
8.788 * [backup-simplify]: Simplify 2.0 into 2.0
8.788 * [taylor]: Taking taylor expansion of i in i
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [backup-simplify]: Simplify 1 into 1
8.788 * [taylor]: Taking taylor expansion of 2.0 in i
8.788 * [backup-simplify]: Simplify 2.0 into 2.0
8.788 * [taylor]: Taking taylor expansion of i in i
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [backup-simplify]: Simplify 1 into 1
8.789 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.789 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.789 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.791 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.791 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.793 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 2.0 0)) into 2.0
8.793 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.795 * [backup-simplify]: Simplify (+ 0 0) into 0
8.797 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
8.800 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.802 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.802 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
8.802 * [backup-simplify]: Simplify (* -1 (/ 0.5 (* i (+ (* 2.0 i) 2.0)))) into (/ -0.5 (* i (+ (* 2.0 i) 2.0)))
8.802 * [taylor]: Taking taylor expansion of (/ -0.5 (* i (+ (* 2.0 i) 2.0))) in i
8.803 * [taylor]: Taking taylor expansion of -0.5 in i
8.803 * [backup-simplify]: Simplify -0.5 into -0.5
8.803 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.803 * [taylor]: Taking taylor expansion of i in i
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.803 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.803 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.803 * [taylor]: Taking taylor expansion of 2.0 in i
8.803 * [backup-simplify]: Simplify 2.0 into 2.0
8.803 * [taylor]: Taking taylor expansion of i in i
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.803 * [taylor]: Taking taylor expansion of 2.0 in i
8.803 * [backup-simplify]: Simplify 2.0 into 2.0
8.803 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.804 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.804 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.806 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.806 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.808 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.808 * [backup-simplify]: Simplify (/ -0.5 2.0) into -0.25
8.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.810 * [backup-simplify]: Simplify (+ 0 0) into 0
8.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.815 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -0.25 (/ 2.0 2.0)))) into 0.25
8.815 * [backup-simplify]: Simplify 0.25 into 0.25
8.815 * [backup-simplify]: Simplify (- 0) into 0
8.816 * [backup-simplify]: Simplify (+ 0 0) into 0
8.817 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.817 * [backup-simplify]: Simplify (+ 0 0) into 0
8.817 * [backup-simplify]: Simplify (+ 0 0) into 0
8.818 * [backup-simplify]: Simplify (+ 0 0) into 0
8.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.819 * [backup-simplify]: Simplify (+ 0 0) into 0
8.819 * [backup-simplify]: Simplify (+ 0 0) into 0
8.820 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 0) (+ (* 1 1) (* 0 (+ alpha (+ (* 2.0 i) 2.0))))) into 1
8.826 * [backup-simplify]: Simplify (- (/ 0 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) (+ (* (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))) (* (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) (/ (+ (* 2 alpha) (+ (* 4.0 i) 2.0)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) into (- (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))))))
8.826 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))))))) in alpha
8.826 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))))) in alpha
8.826 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
8.826 * [taylor]: Taking taylor expansion of 16.0 in alpha
8.826 * [backup-simplify]: Simplify 16.0 into 16.0
8.826 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
8.826 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
8.826 * [taylor]: Taking taylor expansion of alpha in alpha
8.826 * [backup-simplify]: Simplify 0 into 0
8.827 * [backup-simplify]: Simplify 1 into 1
8.827 * [taylor]: Taking taylor expansion of i in alpha
8.827 * [backup-simplify]: Simplify i into i
8.827 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
8.827 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
8.827 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.827 * [taylor]: Taking taylor expansion of alpha in alpha
8.827 * [backup-simplify]: Simplify 0 into 0
8.827 * [backup-simplify]: Simplify 1 into 1
8.827 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.827 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.827 * [backup-simplify]: Simplify 2.0 into 2.0
8.827 * [taylor]: Taking taylor expansion of i in alpha
8.827 * [backup-simplify]: Simplify i into i
8.827 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.827 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.827 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
8.827 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.827 * [taylor]: Taking taylor expansion of alpha in alpha
8.827 * [backup-simplify]: Simplify 0 into 0
8.827 * [backup-simplify]: Simplify 1 into 1
8.827 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.827 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.827 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.827 * [backup-simplify]: Simplify 2.0 into 2.0
8.827 * [taylor]: Taking taylor expansion of i in alpha
8.827 * [backup-simplify]: Simplify i into i
8.827 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.827 * [backup-simplify]: Simplify 2.0 into 2.0
8.827 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.827 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.828 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.828 * [backup-simplify]: Simplify (* 0 i) into 0
8.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
8.833 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.833 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.833 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.834 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.834 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.834 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.834 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))))) in alpha
8.834 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
8.835 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.835 * [backup-simplify]: Simplify 4.0 into 4.0
8.835 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
8.835 * [taylor]: Taking taylor expansion of i in alpha
8.835 * [backup-simplify]: Simplify i into i
8.835 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
8.835 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
8.835 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.835 * [taylor]: Taking taylor expansion of alpha in alpha
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.835 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.835 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.835 * [backup-simplify]: Simplify 2.0 into 2.0
8.835 * [taylor]: Taking taylor expansion of i in alpha
8.835 * [backup-simplify]: Simplify i into i
8.835 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.835 * [backup-simplify]: Simplify 2.0 into 2.0
8.835 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.835 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.835 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.835 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
8.835 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.835 * [taylor]: Taking taylor expansion of alpha in alpha
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify 1 into 1
8.835 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.835 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.835 * [backup-simplify]: Simplify 2.0 into 2.0
8.836 * [taylor]: Taking taylor expansion of i in alpha
8.836 * [backup-simplify]: Simplify i into i
8.836 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.836 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.836 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.836 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.836 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
8.837 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.837 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))) in alpha
8.837 * [taylor]: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
8.837 * [taylor]: Taking taylor expansion of 4 in alpha
8.837 * [backup-simplify]: Simplify 4 into 4
8.837 * [taylor]: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
8.837 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
8.837 * [taylor]: Taking taylor expansion of alpha in alpha
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
8.837 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
8.837 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.837 * [taylor]: Taking taylor expansion of alpha in alpha
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.837 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.837 * [backup-simplify]: Simplify 2.0 into 2.0
8.837 * [taylor]: Taking taylor expansion of i in alpha
8.837 * [backup-simplify]: Simplify i into i
8.837 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.837 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.838 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
8.838 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.838 * [taylor]: Taking taylor expansion of alpha in alpha
8.838 * [backup-simplify]: Simplify 0 into 0
8.838 * [backup-simplify]: Simplify 1 into 1
8.838 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.838 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.838 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.838 * [backup-simplify]: Simplify 2.0 into 2.0
8.838 * [taylor]: Taking taylor expansion of i in alpha
8.838 * [backup-simplify]: Simplify i into i
8.838 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.838 * [backup-simplify]: Simplify 2.0 into 2.0
8.838 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.838 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.838 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.839 * [backup-simplify]: Simplify (* 1 1) into 1
8.839 * [backup-simplify]: Simplify (* 1 1) into 1
8.839 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.839 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.840 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.840 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.840 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.841 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.841 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))) in alpha
8.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
8.841 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.841 * [backup-simplify]: Simplify 2.0 into 2.0
8.841 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
8.841 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
8.841 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
8.841 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.841 * [taylor]: Taking taylor expansion of alpha in alpha
8.841 * [backup-simplify]: Simplify 0 into 0
8.841 * [backup-simplify]: Simplify 1 into 1
8.841 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.841 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.841 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.841 * [backup-simplify]: Simplify 2.0 into 2.0
8.841 * [taylor]: Taking taylor expansion of i in alpha
8.841 * [backup-simplify]: Simplify i into i
8.841 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.841 * [backup-simplify]: Simplify 2.0 into 2.0
8.841 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.841 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.842 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.842 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
8.842 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.842 * [taylor]: Taking taylor expansion of alpha in alpha
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.842 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.842 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.842 * [backup-simplify]: Simplify 2.0 into 2.0
8.842 * [taylor]: Taking taylor expansion of i in alpha
8.842 * [backup-simplify]: Simplify i into i
8.842 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.842 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.842 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.842 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.843 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
8.843 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
8.843 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))) in alpha
8.843 * [taylor]: Taking taylor expansion of (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
8.843 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.843 * [backup-simplify]: Simplify 4.0 into 4.0
8.843 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
8.843 * [taylor]: Taking taylor expansion of alpha in alpha
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
8.843 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
8.843 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.843 * [taylor]: Taking taylor expansion of alpha in alpha
8.843 * [backup-simplify]: Simplify 0 into 0
8.843 * [backup-simplify]: Simplify 1 into 1
8.843 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.843 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.843 * [backup-simplify]: Simplify 2.0 into 2.0
8.843 * [taylor]: Taking taylor expansion of i in alpha
8.843 * [backup-simplify]: Simplify i into i
8.844 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.844 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.844 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
8.844 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.844 * [taylor]: Taking taylor expansion of alpha in alpha
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.844 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.844 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.844 * [backup-simplify]: Simplify 2.0 into 2.0
8.844 * [taylor]: Taking taylor expansion of i in alpha
8.844 * [backup-simplify]: Simplify i into i
8.844 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.844 * [backup-simplify]: Simplify 2.0 into 2.0
8.844 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.844 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.844 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.844 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.845 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.845 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.845 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.845 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.846 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.846 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))) in alpha
8.846 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
8.846 * [taylor]: Taking taylor expansion of 8.0 in alpha
8.846 * [backup-simplify]: Simplify 8.0 into 8.0
8.846 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
8.846 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.846 * [taylor]: Taking taylor expansion of alpha in alpha
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
8.846 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
8.846 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.846 * [taylor]: Taking taylor expansion of alpha in alpha
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.846 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.846 * [backup-simplify]: Simplify 2.0 into 2.0
8.846 * [taylor]: Taking taylor expansion of i in alpha
8.846 * [backup-simplify]: Simplify i into i
8.846 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.846 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.846 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
8.847 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.847 * [taylor]: Taking taylor expansion of alpha in alpha
8.847 * [backup-simplify]: Simplify 0 into 0
8.847 * [backup-simplify]: Simplify 1 into 1
8.847 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.847 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.847 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.847 * [backup-simplify]: Simplify 2.0 into 2.0
8.847 * [taylor]: Taking taylor expansion of i in alpha
8.847 * [backup-simplify]: Simplify i into i
8.847 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.847 * [backup-simplify]: Simplify 2.0 into 2.0
8.847 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.847 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.847 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.848 * [backup-simplify]: Simplify (* 1 1) into 1
8.848 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.848 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.848 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.848 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.849 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.849 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.849 * [taylor]: Taking taylor expansion of (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))) in alpha
8.849 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
8.849 * [taylor]: Taking taylor expansion of alpha in alpha
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 1 into 1
8.849 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
8.849 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
8.849 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.849 * [taylor]: Taking taylor expansion of alpha in alpha
8.849 * [backup-simplify]: Simplify 0 into 0
8.849 * [backup-simplify]: Simplify 1 into 1
8.849 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.849 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.849 * [backup-simplify]: Simplify 2.0 into 2.0
8.849 * [taylor]: Taking taylor expansion of i in alpha
8.850 * [backup-simplify]: Simplify i into i
8.850 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.850 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.850 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
8.850 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.850 * [taylor]: Taking taylor expansion of alpha in alpha
8.850 * [backup-simplify]: Simplify 0 into 0
8.850 * [backup-simplify]: Simplify 1 into 1
8.850 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.850 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.850 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.850 * [backup-simplify]: Simplify 2.0 into 2.0
8.850 * [taylor]: Taking taylor expansion of i in alpha
8.850 * [backup-simplify]: Simplify i into i
8.850 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.850 * [backup-simplify]: Simplify 2.0 into 2.0
8.850 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.850 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.850 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.850 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.850 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.851 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.851 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.851 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) in alpha
8.851 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
8.851 * [taylor]: Taking taylor expansion of 16.0 in alpha
8.851 * [backup-simplify]: Simplify 16.0 into 16.0
8.851 * [taylor]: Taking taylor expansion of (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
8.851 * [taylor]: Taking taylor expansion of (* alpha (pow i 2)) in alpha
8.851 * [taylor]: Taking taylor expansion of alpha in alpha
8.851 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify 1 into 1
8.852 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
8.852 * [taylor]: Taking taylor expansion of i in alpha
8.852 * [backup-simplify]: Simplify i into i
8.852 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
8.852 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
8.852 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.852 * [taylor]: Taking taylor expansion of alpha in alpha
8.852 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify 1 into 1
8.852 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.852 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.852 * [backup-simplify]: Simplify 2.0 into 2.0
8.852 * [taylor]: Taking taylor expansion of i in alpha
8.852 * [backup-simplify]: Simplify i into i
8.852 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.852 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.852 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
8.852 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.852 * [taylor]: Taking taylor expansion of alpha in alpha
8.852 * [backup-simplify]: Simplify 0 into 0
8.852 * [backup-simplify]: Simplify 1 into 1
8.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.852 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.852 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.852 * [backup-simplify]: Simplify 2.0 into 2.0
8.852 * [taylor]: Taking taylor expansion of i in alpha
8.852 * [backup-simplify]: Simplify i into i
8.852 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.852 * [backup-simplify]: Simplify 2.0 into 2.0
8.853 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.853 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.853 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.853 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.853 * [backup-simplify]: Simplify (* 0 (pow i 2)) into 0
8.853 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.854 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow i 2))) into (pow i 2)
8.854 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.854 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.854 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.854 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.855 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.855 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
8.855 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
8.855 * [taylor]: Taking taylor expansion of 16.0 in alpha
8.855 * [backup-simplify]: Simplify 16.0 into 16.0
8.855 * [taylor]: Taking taylor expansion of (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
8.855 * [taylor]: Taking taylor expansion of (* (pow alpha 2) i) in alpha
8.855 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.855 * [taylor]: Taking taylor expansion of alpha in alpha
8.855 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 1 into 1
8.856 * [taylor]: Taking taylor expansion of i in alpha
8.856 * [backup-simplify]: Simplify i into i
8.856 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
8.856 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
8.856 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
8.856 * [taylor]: Taking taylor expansion of alpha in alpha
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 1 into 1
8.856 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.856 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.856 * [backup-simplify]: Simplify 2.0 into 2.0
8.856 * [taylor]: Taking taylor expansion of i in alpha
8.856 * [backup-simplify]: Simplify i into i
8.856 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.856 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
8.856 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
8.856 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
8.856 * [taylor]: Taking taylor expansion of alpha in alpha
8.856 * [backup-simplify]: Simplify 0 into 0
8.856 * [backup-simplify]: Simplify 1 into 1
8.856 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
8.856 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.856 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.856 * [backup-simplify]: Simplify 2.0 into 2.0
8.856 * [taylor]: Taking taylor expansion of i in alpha
8.856 * [backup-simplify]: Simplify i into i
8.856 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.856 * [backup-simplify]: Simplify 2.0 into 2.0
8.856 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.857 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.857 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
8.857 * [backup-simplify]: Simplify (* 1 1) into 1
8.857 * [backup-simplify]: Simplify (* 1 i) into i
8.857 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.858 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.858 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.858 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.858 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.859 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.859 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.860 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.5 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
8.860 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) 0) into (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))
8.860 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) into (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))
8.861 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) into (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))
8.862 * [backup-simplify]: Simplify (+ 0 (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) into (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))
8.863 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) into (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))))
8.863 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) in i
8.863 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) in i
8.863 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
8.863 * [taylor]: Taking taylor expansion of 1.0 in i
8.863 * [backup-simplify]: Simplify 1.0 into 1.0
8.863 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
8.863 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
8.863 * [taylor]: Taking taylor expansion of i in i
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 1 into 1
8.863 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
8.863 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.863 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.863 * [taylor]: Taking taylor expansion of 2.0 in i
8.863 * [backup-simplify]: Simplify 2.0 into 2.0
8.863 * [taylor]: Taking taylor expansion of i in i
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 1 into 1
8.863 * [taylor]: Taking taylor expansion of 2.0 in i
8.863 * [backup-simplify]: Simplify 2.0 into 2.0
8.864 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.864 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.865 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.865 * [backup-simplify]: Simplify (* 0 4.0) into 0
8.867 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.867 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.868 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
8.870 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
8.870 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
8.870 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) in i
8.870 * [taylor]: Taking taylor expansion of 0.5 in i
8.870 * [backup-simplify]: Simplify 0.5 into 0.5
8.870 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) in i
8.870 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)) in i
8.870 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
8.870 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.871 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.871 * [taylor]: Taking taylor expansion of 2.0 in i
8.871 * [backup-simplify]: Simplify 2.0 into 2.0
8.871 * [taylor]: Taking taylor expansion of i in i
8.871 * [backup-simplify]: Simplify 0 into 0
8.871 * [backup-simplify]: Simplify 1 into 1
8.871 * [taylor]: Taking taylor expansion of 2.0 in i
8.871 * [backup-simplify]: Simplify 2.0 into 2.0
8.871 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.871 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.872 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.872 * [taylor]: Taking taylor expansion of i in i
8.872 * [backup-simplify]: Simplify 0 into 0
8.872 * [backup-simplify]: Simplify 1 into 1
8.872 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.872 * [backup-simplify]: Simplify (* 1 1) into 1
8.873 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
8.873 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
8.874 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.875 * [backup-simplify]: Simplify (+ 0 0) into 0
8.877 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
8.880 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
8.882 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
8.884 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
8.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.887 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.887 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.888 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
8.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.890 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.890 * [backup-simplify]: Simplify (+ 0 0) into 0
8.892 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
8.895 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 8.0 0) (* 4.0 1))) into 4.0
8.897 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 8.0 1)) into 8.0
8.899 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
8.904 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
8.906 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
8.907 * [backup-simplify]: Simplify (+ (- 0.5) 0.375) into (- 0.125)
8.908 * [backup-simplify]: Simplify (- (- 0.125)) into 0.125
8.908 * [backup-simplify]: Simplify 0.125 into 0.125
8.909 * [backup-simplify]: Simplify (+ (* 0.125 (pow (* 1 (* 1 beta)) 2)) (+ (* 0.25 (* 1 (* alpha 1))) (* (- 0.25) (* 1 (* 1 beta))))) into (- (+ (* 0.25 alpha) (* 0.125 (pow beta 2))) (* 0.25 beta))
8.910 * [backup-simplify]: Simplify (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) into (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
8.910 * [approximate]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
8.910 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.910 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
8.910 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.910 * [taylor]: Taking taylor expansion of beta in i
8.910 * [backup-simplify]: Simplify beta into beta
8.910 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.910 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.910 * [taylor]: Taking taylor expansion of alpha in i
8.910 * [backup-simplify]: Simplify alpha into alpha
8.910 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.910 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.910 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.910 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.910 * [taylor]: Taking taylor expansion of alpha in i
8.910 * [backup-simplify]: Simplify alpha into alpha
8.910 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.910 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.910 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.910 * [taylor]: Taking taylor expansion of 2.0 in i
8.910 * [backup-simplify]: Simplify 2.0 into 2.0
8.911 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.911 * [taylor]: Taking taylor expansion of i in i
8.911 * [backup-simplify]: Simplify 0 into 0
8.911 * [backup-simplify]: Simplify 1 into 1
8.911 * [backup-simplify]: Simplify (/ 1 1) into 1
8.911 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.911 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.911 * [taylor]: Taking taylor expansion of beta in i
8.911 * [backup-simplify]: Simplify beta into beta
8.911 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.911 * [taylor]: Taking taylor expansion of 2.0 in i
8.911 * [backup-simplify]: Simplify 2.0 into 2.0
8.911 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.911 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.911 * [taylor]: Taking taylor expansion of alpha in i
8.911 * [backup-simplify]: Simplify alpha into alpha
8.911 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.911 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.911 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.911 * [taylor]: Taking taylor expansion of 2.0 in i
8.912 * [backup-simplify]: Simplify 2.0 into 2.0
8.912 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.912 * [taylor]: Taking taylor expansion of i in i
8.912 * [backup-simplify]: Simplify 0 into 0
8.912 * [backup-simplify]: Simplify 1 into 1
8.912 * [backup-simplify]: Simplify (/ 1 1) into 1
8.912 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.912 * [taylor]: Taking taylor expansion of beta in i
8.912 * [backup-simplify]: Simplify beta into beta
8.912 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.912 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
8.912 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
8.913 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.913 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.914 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.914 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.915 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.915 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.915 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.915 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 4.0) into (* 0.25 (- (/ 1 beta) (/ 1 alpha)))
8.916 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.916 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
8.916 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.916 * [taylor]: Taking taylor expansion of beta in alpha
8.916 * [backup-simplify]: Simplify beta into beta
8.916 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.916 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.916 * [taylor]: Taking taylor expansion of alpha in alpha
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify 1 into 1
8.916 * [backup-simplify]: Simplify (/ 1 1) into 1
8.916 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.916 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.916 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.916 * [taylor]: Taking taylor expansion of alpha in alpha
8.916 * [backup-simplify]: Simplify 0 into 0
8.916 * [backup-simplify]: Simplify 1 into 1
8.917 * [backup-simplify]: Simplify (/ 1 1) into 1
8.917 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.917 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.917 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.917 * [backup-simplify]: Simplify 2.0 into 2.0
8.917 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.917 * [taylor]: Taking taylor expansion of i in alpha
8.917 * [backup-simplify]: Simplify i into i
8.917 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.917 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.917 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.917 * [taylor]: Taking taylor expansion of beta in alpha
8.917 * [backup-simplify]: Simplify beta into beta
8.917 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.917 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.917 * [backup-simplify]: Simplify 2.0 into 2.0
8.917 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.917 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.917 * [taylor]: Taking taylor expansion of alpha in alpha
8.917 * [backup-simplify]: Simplify 0 into 0
8.917 * [backup-simplify]: Simplify 1 into 1
8.918 * [backup-simplify]: Simplify (/ 1 1) into 1
8.918 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.918 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.918 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.918 * [backup-simplify]: Simplify 2.0 into 2.0
8.918 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.918 * [taylor]: Taking taylor expansion of i in alpha
8.918 * [backup-simplify]: Simplify i into i
8.918 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.918 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.918 * [taylor]: Taking taylor expansion of beta in alpha
8.918 * [backup-simplify]: Simplify beta into beta
8.918 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.919 * [backup-simplify]: Simplify (- 1) into -1
8.919 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.920 * [backup-simplify]: Simplify (+ 1 0) into 1
8.920 * [backup-simplify]: Simplify (+ 1 0) into 1
8.920 * [backup-simplify]: Simplify (* 1 1) into 1
8.921 * [backup-simplify]: Simplify (/ -1 1) into -1
8.921 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.921 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
8.921 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.921 * [taylor]: Taking taylor expansion of beta in beta
8.921 * [backup-simplify]: Simplify 0 into 0
8.921 * [backup-simplify]: Simplify 1 into 1
8.921 * [backup-simplify]: Simplify (/ 1 1) into 1
8.921 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.921 * [taylor]: Taking taylor expansion of alpha in beta
8.921 * [backup-simplify]: Simplify alpha into alpha
8.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.922 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.922 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.922 * [taylor]: Taking taylor expansion of alpha in beta
8.922 * [backup-simplify]: Simplify alpha into alpha
8.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.922 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.922 * [taylor]: Taking taylor expansion of 2.0 in beta
8.922 * [backup-simplify]: Simplify 2.0 into 2.0
8.922 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.922 * [taylor]: Taking taylor expansion of i in beta
8.922 * [backup-simplify]: Simplify i into i
8.922 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.922 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.922 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.922 * [taylor]: Taking taylor expansion of beta in beta
8.922 * [backup-simplify]: Simplify 0 into 0
8.922 * [backup-simplify]: Simplify 1 into 1
8.923 * [backup-simplify]: Simplify (/ 1 1) into 1
8.923 * [taylor]: Taking taylor expansion of 2.0 in beta
8.923 * [backup-simplify]: Simplify 2.0 into 2.0
8.923 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.923 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.923 * [taylor]: Taking taylor expansion of alpha in beta
8.923 * [backup-simplify]: Simplify alpha into alpha
8.923 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.923 * [taylor]: Taking taylor expansion of 2.0 in beta
8.923 * [backup-simplify]: Simplify 2.0 into 2.0
8.923 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.923 * [taylor]: Taking taylor expansion of i in beta
8.923 * [backup-simplify]: Simplify i into i
8.923 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.923 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.923 * [taylor]: Taking taylor expansion of beta in beta
8.923 * [backup-simplify]: Simplify 0 into 0
8.923 * [backup-simplify]: Simplify 1 into 1
8.924 * [backup-simplify]: Simplify (/ 1 1) into 1
8.924 * [backup-simplify]: Simplify (+ 1 0) into 1
8.924 * [backup-simplify]: Simplify (+ 1 0) into 1
8.925 * [backup-simplify]: Simplify (+ 0 1) into 1
8.925 * [backup-simplify]: Simplify (+ 0 1) into 1
8.926 * [backup-simplify]: Simplify (+ 0 1) into 1
8.926 * [backup-simplify]: Simplify (+ 0 1) into 1
8.926 * [backup-simplify]: Simplify (* 1 1) into 1
8.927 * [backup-simplify]: Simplify (/ 1 1) into 1
8.927 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.927 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
8.927 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.927 * [taylor]: Taking taylor expansion of beta in beta
8.927 * [backup-simplify]: Simplify 0 into 0
8.927 * [backup-simplify]: Simplify 1 into 1
8.927 * [backup-simplify]: Simplify (/ 1 1) into 1
8.927 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.927 * [taylor]: Taking taylor expansion of alpha in beta
8.927 * [backup-simplify]: Simplify alpha into alpha
8.927 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.928 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.928 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.928 * [taylor]: Taking taylor expansion of alpha in beta
8.928 * [backup-simplify]: Simplify alpha into alpha
8.928 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.928 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.928 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.928 * [taylor]: Taking taylor expansion of 2.0 in beta
8.928 * [backup-simplify]: Simplify 2.0 into 2.0
8.928 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.928 * [taylor]: Taking taylor expansion of i in beta
8.928 * [backup-simplify]: Simplify i into i
8.928 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.928 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.928 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.928 * [taylor]: Taking taylor expansion of beta in beta
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 1 into 1
8.928 * [backup-simplify]: Simplify (/ 1 1) into 1
8.929 * [taylor]: Taking taylor expansion of 2.0 in beta
8.929 * [backup-simplify]: Simplify 2.0 into 2.0
8.929 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.929 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.929 * [taylor]: Taking taylor expansion of alpha in beta
8.929 * [backup-simplify]: Simplify alpha into alpha
8.929 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.929 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.929 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.929 * [taylor]: Taking taylor expansion of 2.0 in beta
8.929 * [backup-simplify]: Simplify 2.0 into 2.0
8.929 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.929 * [taylor]: Taking taylor expansion of i in beta
8.929 * [backup-simplify]: Simplify i into i
8.929 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.929 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.929 * [taylor]: Taking taylor expansion of beta in beta
8.929 * [backup-simplify]: Simplify 0 into 0
8.929 * [backup-simplify]: Simplify 1 into 1
8.929 * [backup-simplify]: Simplify (/ 1 1) into 1
8.930 * [backup-simplify]: Simplify (+ 1 0) into 1
8.930 * [backup-simplify]: Simplify (+ 1 0) into 1
8.931 * [backup-simplify]: Simplify (+ 0 1) into 1
8.931 * [backup-simplify]: Simplify (+ 0 1) into 1
8.932 * [backup-simplify]: Simplify (+ 0 1) into 1
8.932 * [backup-simplify]: Simplify (+ 0 1) into 1
8.932 * [backup-simplify]: Simplify (* 1 1) into 1
8.933 * [backup-simplify]: Simplify (/ 1 1) into 1
8.933 * [taylor]: Taking taylor expansion of 1 in alpha
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [taylor]: Taking taylor expansion of 0 in i
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.934 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
8.934 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
8.934 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.935 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
8.935 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
8.935 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.936 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.936 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
8.937 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
8.937 * [backup-simplify]: Simplify (+ (* 1 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) 1)) into (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))
8.937 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) 1)))) into (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)))
8.938 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) in alpha
8.938 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) in alpha
8.938 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
8.938 * [taylor]: Taking taylor expansion of 3 in alpha
8.938 * [backup-simplify]: Simplify 3 into 3
8.938 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.938 * [taylor]: Taking taylor expansion of alpha in alpha
8.938 * [backup-simplify]: Simplify 0 into 0
8.938 * [backup-simplify]: Simplify 1 into 1
8.938 * [backup-simplify]: Simplify (/ 1 1) into 1
8.938 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in alpha
8.938 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
8.938 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.938 * [backup-simplify]: Simplify 4.0 into 4.0
8.938 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.938 * [taylor]: Taking taylor expansion of i in alpha
8.938 * [backup-simplify]: Simplify i into i
8.938 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.938 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.938 * [backup-simplify]: Simplify 2.0 into 2.0
8.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.941 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
8.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.942 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.942 * [backup-simplify]: Simplify (+ 0 0) into 0
8.942 * [backup-simplify]: Simplify (+ 0 0) into 0
8.943 * [backup-simplify]: Simplify (- 0) into 0
8.943 * [taylor]: Taking taylor expansion of 0 in i
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [taylor]: Taking taylor expansion of 0 in i
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify 0 into 0
8.943 * [backup-simplify]: Simplify 0 into 0
8.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.944 * [backup-simplify]: Simplify (- 0) into 0
8.945 * [backup-simplify]: Simplify (+ 0 0) into 0
8.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.946 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.947 * [backup-simplify]: Simplify (+ 0 0) into 0
8.947 * [backup-simplify]: Simplify (+ 0 0) into 0
8.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.948 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.949 * [backup-simplify]: Simplify (+ 0 0) into 0
8.950 * [backup-simplify]: Simplify (+ 0 0) into 0
8.950 * [backup-simplify]: Simplify (+ 0 0) into 0
8.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* 0 1))) into (+ (* 2.0 (/ 1 alpha)) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 i)) (/ 1 (pow alpha 2))))))
8.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (+ (* 2.0 (/ 1 alpha)) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 i)) (/ 1 (pow alpha 2)))))) 1)) (* (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) (/ (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) 1)))) into (+ (* 8.0 (/ 1 alpha)) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))))
8.954 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))))) in alpha
8.954 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
8.954 * [taylor]: Taking taylor expansion of 8.0 in alpha
8.954 * [backup-simplify]: Simplify 8.0 into 8.0
8.954 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.954 * [taylor]: Taking taylor expansion of alpha in alpha
8.954 * [backup-simplify]: Simplify 0 into 0
8.954 * [backup-simplify]: Simplify 1 into 1
8.955 * [backup-simplify]: Simplify (/ 1 1) into 1
8.955 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))) in alpha
8.955 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
8.955 * [taylor]: Taking taylor expansion of 16.0 in alpha
8.955 * [backup-simplify]: Simplify 16.0 into 16.0
8.955 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
8.955 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
8.955 * [taylor]: Taking taylor expansion of alpha in alpha
8.955 * [backup-simplify]: Simplify 0 into 0
8.955 * [backup-simplify]: Simplify 1 into 1
8.955 * [taylor]: Taking taylor expansion of i in alpha
8.955 * [backup-simplify]: Simplify i into i
8.955 * [backup-simplify]: Simplify (* 0 i) into 0
8.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
8.956 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.956 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
8.956 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
8.956 * [taylor]: Taking taylor expansion of 12.0 in alpha
8.956 * [backup-simplify]: Simplify 12.0 into 12.0
8.956 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
8.956 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
8.956 * [taylor]: Taking taylor expansion of i in alpha
8.956 * [backup-simplify]: Simplify i into i
8.956 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.956 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.956 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
8.956 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
8.956 * [taylor]: Taking taylor expansion of 12.0 in alpha
8.956 * [backup-simplify]: Simplify 12.0 into 12.0
8.956 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.956 * [taylor]: Taking taylor expansion of i in alpha
8.956 * [backup-simplify]: Simplify i into i
8.956 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.956 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
8.956 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
8.956 * [taylor]: Taking taylor expansion of 5 in alpha
8.956 * [backup-simplify]: Simplify 5 into 5
8.956 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
8.956 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.956 * [taylor]: Taking taylor expansion of alpha in alpha
8.957 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify 1 into 1
8.957 * [backup-simplify]: Simplify (* 1 1) into 1
8.957 * [backup-simplify]: Simplify (/ 1 1) into 1
8.957 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.957 * [backup-simplify]: Simplify 4.0 into 4.0
8.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.960 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
8.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
8.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
8.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.963 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.963 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.964 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.964 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.968 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.968 * [backup-simplify]: Simplify (+ 0 0) into 0
8.969 * [backup-simplify]: Simplify (+ 0 0) into 0
8.969 * [backup-simplify]: Simplify (+ 0 0) into 0
8.969 * [backup-simplify]: Simplify (+ 0 0) into 0
8.970 * [backup-simplify]: Simplify (+ 0 0) into 0
8.970 * [taylor]: Taking taylor expansion of 0 in i
8.970 * [backup-simplify]: Simplify 0 into 0
8.970 * [backup-simplify]: Simplify 0 into 0
8.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.972 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.973 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.973 * [backup-simplify]: Simplify (+ 0 0) into 0
8.973 * [backup-simplify]: Simplify (+ 0 0) into 0
8.974 * [backup-simplify]: Simplify (- 0) into 0
8.974 * [taylor]: Taking taylor expansion of 0 in i
8.974 * [backup-simplify]: Simplify 0 into 0
8.974 * [backup-simplify]: Simplify 0 into 0
8.974 * [backup-simplify]: Simplify 0 into 0
8.975 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) into (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))
8.975 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in (beta alpha i) around 0
8.975 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
8.975 * [taylor]: Taking taylor expansion of -1 in i
8.975 * [backup-simplify]: Simplify -1 into -1
8.975 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.975 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
8.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.975 * [taylor]: Taking taylor expansion of alpha in i
8.975 * [backup-simplify]: Simplify alpha into alpha
8.975 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.975 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.975 * [taylor]: Taking taylor expansion of beta in i
8.975 * [backup-simplify]: Simplify beta into beta
8.975 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.975 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.975 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.975 * [taylor]: Taking taylor expansion of 2.0 in i
8.975 * [backup-simplify]: Simplify 2.0 into 2.0
8.975 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.975 * [taylor]: Taking taylor expansion of alpha in i
8.975 * [backup-simplify]: Simplify alpha into alpha
8.976 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.976 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.976 * [taylor]: Taking taylor expansion of 2.0 in i
8.976 * [backup-simplify]: Simplify 2.0 into 2.0
8.976 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.976 * [taylor]: Taking taylor expansion of i in i
8.976 * [backup-simplify]: Simplify 0 into 0
8.976 * [backup-simplify]: Simplify 1 into 1
8.976 * [backup-simplify]: Simplify (/ 1 1) into 1
8.976 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.976 * [taylor]: Taking taylor expansion of beta in i
8.976 * [backup-simplify]: Simplify beta into beta
8.976 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.976 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.976 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.976 * [taylor]: Taking taylor expansion of alpha in i
8.976 * [backup-simplify]: Simplify alpha into alpha
8.977 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.977 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.977 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.977 * [taylor]: Taking taylor expansion of 2.0 in i
8.977 * [backup-simplify]: Simplify 2.0 into 2.0
8.977 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.977 * [taylor]: Taking taylor expansion of i in i
8.977 * [backup-simplify]: Simplify 0 into 0
8.977 * [backup-simplify]: Simplify 1 into 1
8.977 * [backup-simplify]: Simplify (/ 1 1) into 1
8.977 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.977 * [taylor]: Taking taylor expansion of beta in i
8.977 * [backup-simplify]: Simplify beta into beta
8.977 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.977 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
8.977 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
8.978 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.978 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.982 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.982 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.983 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.983 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.984 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.984 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.984 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
8.984 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) -4.0) into (* -0.25 (- (/ 1 alpha) (/ 1 beta)))
8.984 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
8.985 * [taylor]: Taking taylor expansion of -1 in alpha
8.985 * [backup-simplify]: Simplify -1 into -1
8.985 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.985 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
8.985 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.985 * [taylor]: Taking taylor expansion of alpha in alpha
8.985 * [backup-simplify]: Simplify 0 into 0
8.985 * [backup-simplify]: Simplify 1 into 1
8.985 * [backup-simplify]: Simplify (/ 1 1) into 1
8.985 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.985 * [taylor]: Taking taylor expansion of beta in alpha
8.985 * [backup-simplify]: Simplify beta into beta
8.985 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.985 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.985 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.985 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.985 * [backup-simplify]: Simplify 2.0 into 2.0
8.985 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.985 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.985 * [taylor]: Taking taylor expansion of alpha in alpha
8.985 * [backup-simplify]: Simplify 0 into 0
8.985 * [backup-simplify]: Simplify 1 into 1
8.985 * [backup-simplify]: Simplify (/ 1 1) into 1
8.985 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.985 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.985 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.985 * [backup-simplify]: Simplify 2.0 into 2.0
8.985 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.985 * [taylor]: Taking taylor expansion of i in alpha
8.986 * [backup-simplify]: Simplify i into i
8.986 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.986 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.986 * [taylor]: Taking taylor expansion of beta in alpha
8.986 * [backup-simplify]: Simplify beta into beta
8.986 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.986 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.986 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.986 * [taylor]: Taking taylor expansion of alpha in alpha
8.986 * [backup-simplify]: Simplify 0 into 0
8.986 * [backup-simplify]: Simplify 1 into 1
8.986 * [backup-simplify]: Simplify (/ 1 1) into 1
8.986 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.986 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.986 * [backup-simplify]: Simplify 2.0 into 2.0
8.986 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.986 * [taylor]: Taking taylor expansion of i in alpha
8.986 * [backup-simplify]: Simplify i into i
8.986 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.986 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.986 * [taylor]: Taking taylor expansion of beta in alpha
8.986 * [backup-simplify]: Simplify beta into beta
8.986 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.986 * [backup-simplify]: Simplify (+ 1 0) into 1
8.987 * [backup-simplify]: Simplify (+ 1 0) into 1
8.987 * [backup-simplify]: Simplify (- 1) into -1
8.987 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.987 * [backup-simplify]: Simplify (+ 1 0) into 1
8.988 * [backup-simplify]: Simplify (* -1 1) into -1
8.988 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.988 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
8.988 * [taylor]: Taking taylor expansion of -1 in beta
8.988 * [backup-simplify]: Simplify -1 into -1
8.988 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.988 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
8.988 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.988 * [taylor]: Taking taylor expansion of alpha in beta
8.988 * [backup-simplify]: Simplify alpha into alpha
8.988 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.988 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.988 * [taylor]: Taking taylor expansion of beta in beta
8.988 * [backup-simplify]: Simplify 0 into 0
8.988 * [backup-simplify]: Simplify 1 into 1
8.988 * [backup-simplify]: Simplify (/ 1 1) into 1
8.988 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.989 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.989 * [taylor]: Taking taylor expansion of 2.0 in beta
8.989 * [backup-simplify]: Simplify 2.0 into 2.0
8.989 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.989 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.989 * [taylor]: Taking taylor expansion of alpha in beta
8.989 * [backup-simplify]: Simplify alpha into alpha
8.989 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.989 * [taylor]: Taking taylor expansion of 2.0 in beta
8.989 * [backup-simplify]: Simplify 2.0 into 2.0
8.989 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.989 * [taylor]: Taking taylor expansion of i in beta
8.989 * [backup-simplify]: Simplify i into i
8.989 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.989 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.989 * [taylor]: Taking taylor expansion of beta in beta
8.989 * [backup-simplify]: Simplify 0 into 0
8.989 * [backup-simplify]: Simplify 1 into 1
8.989 * [backup-simplify]: Simplify (/ 1 1) into 1
8.989 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.989 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.989 * [taylor]: Taking taylor expansion of alpha in beta
8.989 * [backup-simplify]: Simplify alpha into alpha
8.989 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.989 * [taylor]: Taking taylor expansion of 2.0 in beta
8.989 * [backup-simplify]: Simplify 2.0 into 2.0
8.989 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.989 * [taylor]: Taking taylor expansion of i in beta
8.989 * [backup-simplify]: Simplify i into i
8.989 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.989 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.989 * [taylor]: Taking taylor expansion of beta in beta
8.989 * [backup-simplify]: Simplify 0 into 0
8.989 * [backup-simplify]: Simplify 1 into 1
8.990 * [backup-simplify]: Simplify (/ 1 1) into 1
8.990 * [backup-simplify]: Simplify (- 1) into -1
8.990 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.990 * [backup-simplify]: Simplify (+ 0 1) into 1
8.991 * [backup-simplify]: Simplify (+ 0 1) into 1
8.991 * [backup-simplify]: Simplify (- 1) into -1
8.991 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.991 * [backup-simplify]: Simplify (+ 0 1) into 1
8.992 * [backup-simplify]: Simplify (+ 0 1) into 1
8.992 * [backup-simplify]: Simplify (* -1 1) into -1
8.992 * [backup-simplify]: Simplify (/ -1 -1) into 1
8.992 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
8.992 * [taylor]: Taking taylor expansion of -1 in beta
8.992 * [backup-simplify]: Simplify -1 into -1
8.992 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.992 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
8.992 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.992 * [taylor]: Taking taylor expansion of alpha in beta
8.992 * [backup-simplify]: Simplify alpha into alpha
8.992 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.992 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.992 * [taylor]: Taking taylor expansion of beta in beta
8.992 * [backup-simplify]: Simplify 0 into 0
8.992 * [backup-simplify]: Simplify 1 into 1
8.993 * [backup-simplify]: Simplify (/ 1 1) into 1
8.993 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.993 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.993 * [taylor]: Taking taylor expansion of 2.0 in beta
8.993 * [backup-simplify]: Simplify 2.0 into 2.0
8.993 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.993 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.993 * [taylor]: Taking taylor expansion of alpha in beta
8.993 * [backup-simplify]: Simplify alpha into alpha
8.993 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.993 * [taylor]: Taking taylor expansion of 2.0 in beta
8.993 * [backup-simplify]: Simplify 2.0 into 2.0
8.993 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.993 * [taylor]: Taking taylor expansion of i in beta
8.993 * [backup-simplify]: Simplify i into i
8.993 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.993 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.993 * [taylor]: Taking taylor expansion of beta in beta
8.993 * [backup-simplify]: Simplify 0 into 0
8.993 * [backup-simplify]: Simplify 1 into 1
8.993 * [backup-simplify]: Simplify (/ 1 1) into 1
8.993 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.993 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.993 * [taylor]: Taking taylor expansion of alpha in beta
8.993 * [backup-simplify]: Simplify alpha into alpha
8.993 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.994 * [taylor]: Taking taylor expansion of 2.0 in beta
8.994 * [backup-simplify]: Simplify 2.0 into 2.0
8.994 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.994 * [taylor]: Taking taylor expansion of i in beta
8.994 * [backup-simplify]: Simplify i into i
8.994 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.994 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.994 * [taylor]: Taking taylor expansion of beta in beta
8.994 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify 1 into 1
8.994 * [backup-simplify]: Simplify (/ 1 1) into 1
8.994 * [backup-simplify]: Simplify (- 1) into -1
8.994 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.995 * [backup-simplify]: Simplify (+ 0 1) into 1
8.995 * [backup-simplify]: Simplify (+ 0 1) into 1
8.995 * [backup-simplify]: Simplify (- 1) into -1
8.996 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.996 * [backup-simplify]: Simplify (+ 0 1) into 1
8.997 * [backup-simplify]: Simplify (+ 0 1) into 1
8.997 * [backup-simplify]: Simplify (* -1 1) into -1
8.997 * [backup-simplify]: Simplify (/ -1 -1) into 1
8.998 * [backup-simplify]: Simplify (* -1 1) into -1
8.998 * [taylor]: Taking taylor expansion of -1 in alpha
8.998 * [backup-simplify]: Simplify -1 into -1
8.998 * [taylor]: Taking taylor expansion of 0 in i
8.998 * [backup-simplify]: Simplify 0 into 0
8.998 * [backup-simplify]: Simplify 0 into 0
8.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.999 * [backup-simplify]: Simplify (- 0) into 0
8.999 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
8.999 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
9.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.000 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
9.000 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
9.000 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
9.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.001 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
9.001 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
9.002 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
9.002 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
9.002 * [backup-simplify]: Simplify (+ (* -1 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) 1)) into (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i))))
9.003 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) -1) (+ (* 1 (/ (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i)))) -1)))) into (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))
9.003 * [backup-simplify]: Simplify (+ (* -1 (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))) (* 0 1)) into (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0)
9.003 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0) in alpha
9.003 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) in alpha
9.004 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
9.004 * [taylor]: Taking taylor expansion of 3 in alpha
9.004 * [backup-simplify]: Simplify 3 into 3
9.004 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.004 * [taylor]: Taking taylor expansion of alpha in alpha
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify 1 into 1
9.004 * [backup-simplify]: Simplify (/ 1 1) into 1
9.004 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
9.004 * [taylor]: Taking taylor expansion of 4.0 in alpha
9.004 * [backup-simplify]: Simplify 4.0 into 4.0
9.004 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.004 * [taylor]: Taking taylor expansion of i in alpha
9.004 * [backup-simplify]: Simplify i into i
9.004 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.004 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.004 * [backup-simplify]: Simplify 2.0 into 2.0
9.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.007 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
9.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.007 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
9.008 * [backup-simplify]: Simplify (+ 0 0) into 0
9.008 * [backup-simplify]: Simplify (- 0) into 0
9.008 * [backup-simplify]: Simplify (+ 0 0) into 0
9.008 * [taylor]: Taking taylor expansion of 0 in i
9.008 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify 0 into 0
9.009 * [taylor]: Taking taylor expansion of 0 in i
9.009 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
9.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.010 * [backup-simplify]: Simplify (- 0) into 0
9.010 * [backup-simplify]: Simplify (+ 0 0) into 0
9.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
9.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
9.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.012 * [backup-simplify]: Simplify (+ 0 0) into 0
9.013 * [backup-simplify]: Simplify (+ 0 0) into 0
9.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
9.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.014 * [backup-simplify]: Simplify (+ 0 0) into 0
9.015 * [backup-simplify]: Simplify (+ 0 0) into 0
9.015 * [backup-simplify]: Simplify (- 0) into 0
9.015 * [backup-simplify]: Simplify (+ 0 0) into 0
9.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* 0 1))) into (- (+ (* 2.0 (/ 1 alpha)) (* 4.0 (/ 1 i))) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow alpha 2)))))
9.020 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (+ (* 2.0 (/ 1 alpha)) (* 4.0 (/ 1 i))) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow alpha 2))))) -1)) (* (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i)))) (/ (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i)))) -1)))) into (- (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))))
9.021 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))))) (+ (* 0 (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))) (* 0 1))) into (- (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))))
9.021 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))) in alpha
9.021 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) in alpha
9.021 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
9.021 * [taylor]: Taking taylor expansion of 8.0 in alpha
9.021 * [backup-simplify]: Simplify 8.0 into 8.0
9.021 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.021 * [taylor]: Taking taylor expansion of alpha in alpha
9.021 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify 1 into 1
9.021 * [backup-simplify]: Simplify (/ 1 1) into 1
9.022 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
9.022 * [taylor]: Taking taylor expansion of 12.0 in alpha
9.022 * [backup-simplify]: Simplify 12.0 into 12.0
9.022 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.022 * [taylor]: Taking taylor expansion of i in alpha
9.022 * [backup-simplify]: Simplify i into i
9.022 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.022 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
9.022 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
9.022 * [taylor]: Taking taylor expansion of 16.0 in alpha
9.022 * [backup-simplify]: Simplify 16.0 into 16.0
9.022 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
9.022 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
9.022 * [taylor]: Taking taylor expansion of alpha in alpha
9.022 * [backup-simplify]: Simplify 0 into 0
9.022 * [backup-simplify]: Simplify 1 into 1
9.022 * [taylor]: Taking taylor expansion of i in alpha
9.022 * [backup-simplify]: Simplify i into i
9.022 * [backup-simplify]: Simplify (* 0 i) into 0
9.022 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
9.022 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.022 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
9.022 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
9.022 * [taylor]: Taking taylor expansion of 12.0 in alpha
9.022 * [backup-simplify]: Simplify 12.0 into 12.0
9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
9.022 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
9.022 * [taylor]: Taking taylor expansion of i in alpha
9.022 * [backup-simplify]: Simplify i into i
9.022 * [backup-simplify]: Simplify (* i i) into (pow i 2)
9.022 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
9.023 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
9.023 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
9.023 * [taylor]: Taking taylor expansion of 5 in alpha
9.023 * [backup-simplify]: Simplify 5 into 5
9.023 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
9.023 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
9.023 * [taylor]: Taking taylor expansion of alpha in alpha
9.023 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify 1 into 1
9.023 * [backup-simplify]: Simplify (* 1 1) into 1
9.023 * [backup-simplify]: Simplify (/ 1 1) into 1
9.023 * [taylor]: Taking taylor expansion of 4.0 in alpha
9.023 * [backup-simplify]: Simplify 4.0 into 4.0
9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.025 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
9.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.025 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
9.025 * [backup-simplify]: Simplify (+ 0 0) into 0
9.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
9.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
9.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
9.027 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
9.027 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
9.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
9.028 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.031 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.031 * [backup-simplify]: Simplify (+ 0 0) into 0
9.032 * [backup-simplify]: Simplify (+ 0 0) into 0
9.032 * [backup-simplify]: Simplify (+ 0 0) into 0
9.032 * [backup-simplify]: Simplify (- 0) into 0
9.032 * [backup-simplify]: Simplify (+ 0 0) into 0
9.032 * [taylor]: Taking taylor expansion of 0 in i
9.032 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.034 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
9.035 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
9.035 * [backup-simplify]: Simplify (+ 0 0) into 0
9.036 * [backup-simplify]: Simplify (- 0) into 0
9.036 * [backup-simplify]: Simplify (+ 0 0) into 0
9.036 * [taylor]: Taking taylor expansion of 0 in i
9.036 * [backup-simplify]: Simplify 0 into 0
9.036 * [backup-simplify]: Simplify 0 into 0
9.036 * [backup-simplify]: Simplify 0 into 0
9.036 * * * [progress]: simplifying candidates
9.046 * [simplify]: Simplifying:
  (log (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (log (exp 1.0))
  (log (* (cbrt (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) (cbrt (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))))
  (log (cbrt (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (log (sqrt (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (log (sqrt (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (log 1)
  (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (log (exp (* (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))))
  (log (exp (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (log (exp 1))
  (log (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (exp (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (* (cbrt (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))) (cbrt (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))))
  (cbrt (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (* (* (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))) (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (sqrt (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (sqrt (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))))
  (* (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (exp 1.0))
  (log (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (* (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (* (* (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (+ (pow (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 3) (pow 1.0 3))
  (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (- (* 1.0 1.0) (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0))
  (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (+ (log (+ alpha beta)) (- (- (log (- beta alpha)) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ (log (+ alpha beta)) (- (log (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ (log (+ alpha beta)) (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (log (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (/ (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (/ (* (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ (pow alpha 3) (pow beta 3)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (* (- (* alpha alpha) (* beta beta)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (- alpha beta) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (* (sqrt (+ alpha beta)) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ (/ 1 1) 1))
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  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (- beta alpha) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ 1 (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (- (+ alpha beta) (* 2.0 i)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0)))
  (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ alpha beta) (* 2.0 i)))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
  0
  0
  (- (+ (* 0.25 alpha) (* 0.125 (pow beta 2))) (* 0.25 beta))
  0
  0
9.050 * [simplify]: Sending expressions to egg_math:
 (log (exp (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))))
 (log (exp h4))
 (log (* (cbrt (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))) (cbrt (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))))
 (log (cbrt (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (log (sqrt (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (log (sqrt (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (log 1)
 (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))
 (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))
 (log (exp (* (cbrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)) (cbrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))))
 (log (exp (sqrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (log (exp 1))
 (log (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (exp (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (* (cbrt (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))) (cbrt (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))))
 (cbrt (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (* (* (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))) (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))) (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (sqrt (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (sqrt (log (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))))
 (* (exp (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))) (exp h4))
 (log (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))
 (exp (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))
 (* (cbrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)) (cbrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))
 (cbrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))
 (* (* (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4) (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)) (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))
 (sqrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))
 (sqrt (+ (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4))
 (+ (pow (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) 3) (pow h4 3))
 (+ (* (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))) (- (* h4 h4) (* (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)))
 (- (* (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))) (* h4 h4))
 (- (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) h4)
 (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (+ (log (+ h3 h2)) (- (- (log (- h2 h3)) (log (+ (+ h3 h2) (* h0 h1)))) (log (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (+ (log (+ h3 h2)) (- (log (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (log (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (+ (log (+ h3 h2)) (log (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (log (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (exp (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (* (* (+ h3 h2) (+ h3 h2)) (+ h3 h2)) (/ (/ (* (* (- h2 h3) (- h2 h3)) (- h2 h3)) (* (* (+ (+ h3 h2) (* h0 h1)) (+ (+ h3 h2) (* h0 h1))) (+ (+ h3 h2) (* h0 h1)))) (* (* (+ (+ (+ h3 h2) (* h0 h1)) h0) (+ (+ (+ h3 h2) (* h0 h1)) h0)) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (* (* (+ h3 h2) (+ h3 h2)) (+ h3 h2)) (/ (* (* (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (* (* (+ (+ (+ h3 h2) (* h0 h1)) h0) (+ (+ (+ h3 h2) (* h0 h1)) h0)) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (* (* (+ h3 h2) (+ h3 h2)) (+ h3 h2)) (* (* (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (cbrt (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))) (cbrt (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))))
 (cbrt (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (* (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))) (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (sqrt (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (sqrt (* (+ h3 h2) (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (+ (pow h3 3) (pow h2 3)) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))
 (* (+ (* h3 h3) (- (* h2 h2) (* h3 h2))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (* (- (* h3 h3) (* h2 h2)) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))
 (* (- h3 h2) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (* (sqrt (+ h3 h2)) (sqrt (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (sqrt (+ h3 h2)) (sqrt (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (sqrt (+ h3 h2)) (/ (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (sqrt (+ h3 h2)) (/ (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (sqrt (+ h3 h2)) (/ (/ (sqrt (- h2 h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (sqrt (+ h3 h2)) (/ (/ (sqrt (- h2 h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (+ h3 h2) (* (cbrt (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))) (cbrt (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0)))))
 (* (+ h3 h2) (sqrt (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (+ h3 h2) (/ (* (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))))
 (* (+ h3 h2) (/ (* (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (+ h3 h2) (/ (* (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))) 1))
 (* (+ h3 h2) (/ (* (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))) 1))
 (* (+ h3 h2) (/ (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))))
 (* (+ h3 h2) (/ (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (+ h3 h2) (/ (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) 1))
 (* (+ h3 h2) (/ (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))) 1))
 (* (+ h3 h2) (/ (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))))
 (* (+ h3 h2) (/ (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (* (+ h3 h2) (/ (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1))
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 (/ (/ (sqrt (- h2 h3)) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1)
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1)
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) 1)
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) 1)
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 1) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 1) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 1) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 1) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- (sqrt h2) (sqrt h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- (sqrt h2) (sqrt h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1)
 (/ (/ (- (sqrt h2) (sqrt h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1)
 (/ (/ (- (sqrt h2) (sqrt h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) 1)
 (/ (/ (- (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (+ (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) 1)
 (/ (/ (- (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (+ (sqrt h2) (sqrt h3)) 1) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- (sqrt h2) (sqrt h3)) (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (+ (sqrt h2) (sqrt h3)) 1) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- (sqrt h2) (sqrt h3)) (+ (+ h3 h2) (* h0 h1))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (+ (sqrt h2) (sqrt h3)) 1) 1)
 (/ (/ (- (sqrt h2) (sqrt h3)) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (+ (sqrt h2) (sqrt h3)) 1) 1)
 (/ (/ (- (sqrt h2) (sqrt h3)) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1)
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (* (cbrt (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ h3 h2) (* h0 h1))))) 1)
 (/ (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) 1)
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 (sqrt (+ (+ h3 h2) (* h0 h1)))) 1)
 (/ (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 1) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 1) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 1) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ 1 1) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ 1 (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ 1 (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ 1 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ 1 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (- h2 h3) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ 1 (+ (+ h3 h2) (* h0 h1))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (- h2 h3) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ 1 (+ (+ h3 h2) (* h0 h1))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (- h2 h3) 1)
 (/ (/ 1 (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (- h2 h3) 1)
 (/ (/ 1 (+ (+ h3 h2) (* h0 h1))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (- h2 h3) (+ (pow (+ h3 h2) 3) (pow (* h0 h1) 3))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h0 h1) (* h0 h1)) (* (+ h3 h2) (* h0 h1)))) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (+ (pow (+ h3 h2) 3) (pow (* h0 h1) 3))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h0 h1) (* h0 h1)) (* (+ h3 h2) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (+ (pow (+ h3 h2) 3) (pow (* h0 h1) 3))) 1)
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h0 h1) (* h0 h1)) (* (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (- h2 h3) (+ (pow (+ h3 h2) 3) (pow (* h0 h1) 3))) 1)
 (/ (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h0 h1) (* h0 h1)) (* (+ h3 h2) (* h0 h1)))) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (- h2 h3) (- (* (+ h3 h2) (+ h3 h2)) (* (* h0 h1) (* h0 h1)))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (- (+ h3 h2) (* h0 h1)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (- (* (+ h3 h2) (+ h3 h2)) (* (* h0 h1) (* h0 h1)))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (- (+ h3 h2) (* h0 h1)) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (- (* (+ h3 h2) (+ h3 h2)) (* (* h0 h1) (* h0 h1)))) 1)
 (/ (- (+ h3 h2) (* h0 h1)) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (/ (- h2 h3) (- (* (+ h3 h2) (+ h3 h2)) (* (* h0 h1) (* h0 h1)))) 1)
 (/ (- (+ h3 h2) (* h0 h1)) (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ 1 (+ (+ (+ h3 h2) (* h0 h1)) h0))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (* (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0)) (cbrt (+ (+ (+ h3 h2) (* h0 h1)) h0))))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (sqrt (+ (+ (+ h3 h2) (* h0 h1)) h0)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) 1)
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) 1)
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (cbrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (sqrt (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (cbrt (- h2 h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (cbrt (- h2 h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (cbrt (- h2 h3)) (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (sqrt (- h2 h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (sqrt (- h2 h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (sqrt (- h2 h3)) (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- (sqrt h2) (sqrt h3)) (cbrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- (sqrt h2) (sqrt h3)) (sqrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- (sqrt h2) (sqrt h3)) (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (cbrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (sqrt (+ (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (/ 1 (+ (+ h3 h2) (* h0 h1))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (+ (* (+ h3 h2) (+ h3 h2)) (- (* (* h0 h1) (* h0 h1)) (* (+ h3 h2) (* h0 h1)))))
 (/ (+ (+ (+ h3 h2) (* h0 h1)) h0) (- (+ h3 h2) (* h0 h1)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (+ (pow (+ (+ h3 h2) (* h0 h1)) 3) (pow h0 3)))
 (/ (/ (- h2 h3) (+ (+ h3 h2) (* h0 h1))) (- (* (+ (+ h3 h2) (* h0 h1)) (+ (+ h3 h2) (* h0 h1))) (* h0 h0)))
 (* (+ (+ (+ h3 h2) (* h0 h1)) h0) (+ (+ h3 h2) (* h0 h1)))
 (- (+ h4 (* h5 (pow h3 2))) (* h5 (pow h2 2)))
 (- (+ (* h0 (/ 1 h3)) (* h7 (/ 1 (pow h3 3)))) (* h6 (/ 1 (pow h3 2))))
 (- (+ (* h0 (/ 1 h3)) (* h7 (/ 1 (pow h3 3)))) (* h6 (/ 1 (pow h3 2))))
 (- (+ h4 (* h5 (pow h3 2))) (* h5 (pow h2 2)))
 (- (+ (* h0 (/ 1 h3)) (* h7 (/ 1 (pow h3 3)))) (* h6 (/ 1 (pow h3 2))))
 (- (+ (* h0 (/ 1 h3)) (* h7 (/ 1 (pow h3 3)))) (* h6 (/ 1 (pow h3 2))))
 (- (* h5 (pow h3 2)) (+ (* h8 (pow h3 3)) (* h5 (pow h2 2))))
 0
 0
 (- (+ (* h5 h3) (* h8 (pow h2 2))) (* h5 h2))
 0
 0
9.122 * * * [progress]: adding candidates to table
10.403 * * [progress]: iteration 4 / 4
10.403 * * * [progress]: picking best candidate
10.432 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)) 2.0))>
10.432 * * * [progress]: localizing error
10.459 * * * [progress]: generating rewritten candidates
10.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
10.626 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1)
11.158 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
11.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2)
11.725 * * * [progress]: generating series expansions
11.725 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
11.726 * [backup-simplify]: Simplify (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
11.726 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
11.726 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
11.726 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
11.726 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
11.726 * [taylor]: Taking taylor expansion of (pow beta 2) in i
11.726 * [taylor]: Taking taylor expansion of beta in i
11.726 * [backup-simplify]: Simplify beta into beta
11.726 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
11.726 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
11.726 * [taylor]: Taking taylor expansion of alpha in i
11.726 * [backup-simplify]: Simplify alpha into alpha
11.726 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.726 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.726 * [taylor]: Taking taylor expansion of 2.0 in i
11.726 * [backup-simplify]: Simplify 2.0 into 2.0
11.726 * [taylor]: Taking taylor expansion of i in i
11.726 * [backup-simplify]: Simplify 0 into 0
11.726 * [backup-simplify]: Simplify 1 into 1
11.726 * [taylor]: Taking taylor expansion of beta in i
11.726 * [backup-simplify]: Simplify beta into beta
11.726 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
11.726 * [taylor]: Taking taylor expansion of alpha in i
11.727 * [backup-simplify]: Simplify alpha into alpha
11.727 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
11.727 * [taylor]: Taking taylor expansion of 2.0 in i
11.727 * [backup-simplify]: Simplify 2.0 into 2.0
11.727 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.727 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.727 * [taylor]: Taking taylor expansion of 2.0 in i
11.727 * [backup-simplify]: Simplify 2.0 into 2.0
11.727 * [taylor]: Taking taylor expansion of i in i
11.727 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify 1 into 1
11.727 * [taylor]: Taking taylor expansion of beta in i
11.727 * [backup-simplify]: Simplify beta into beta
11.727 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.728 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.728 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.728 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
11.729 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.729 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.729 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
11.729 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
11.729 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
11.729 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
11.729 * [taylor]: Taking taylor expansion of 1.0 in i
11.729 * [backup-simplify]: Simplify 1.0 into 1.0
11.729 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
11.729 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
11.729 * [taylor]: Taking taylor expansion of alpha in i
11.729 * [backup-simplify]: Simplify alpha into alpha
11.729 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
11.729 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
11.730 * [taylor]: Taking taylor expansion of alpha in i
11.730 * [backup-simplify]: Simplify alpha into alpha
11.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.730 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.730 * [taylor]: Taking taylor expansion of 2.0 in i
11.730 * [backup-simplify]: Simplify 2.0 into 2.0
11.730 * [taylor]: Taking taylor expansion of i in i
11.730 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify 1 into 1
11.730 * [taylor]: Taking taylor expansion of beta in i
11.730 * [backup-simplify]: Simplify beta into beta
11.730 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
11.730 * [taylor]: Taking taylor expansion of alpha in i
11.730 * [backup-simplify]: Simplify alpha into alpha
11.730 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
11.730 * [taylor]: Taking taylor expansion of 2.0 in i
11.730 * [backup-simplify]: Simplify 2.0 into 2.0
11.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.730 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.730 * [taylor]: Taking taylor expansion of 2.0 in i
11.730 * [backup-simplify]: Simplify 2.0 into 2.0
11.730 * [taylor]: Taking taylor expansion of i in i
11.730 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify 1 into 1
11.730 * [taylor]: Taking taylor expansion of beta in i
11.730 * [backup-simplify]: Simplify beta into beta
11.730 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.731 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.731 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.731 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
11.731 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.731 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.731 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
11.731 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
11.732 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
11.732 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
11.732 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
11.732 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
11.732 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
11.732 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.732 * [taylor]: Taking taylor expansion of beta in beta
11.732 * [backup-simplify]: Simplify 0 into 0
11.732 * [backup-simplify]: Simplify 1 into 1
11.732 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
11.732 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
11.732 * [taylor]: Taking taylor expansion of alpha in beta
11.732 * [backup-simplify]: Simplify alpha into alpha
11.732 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.732 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.732 * [taylor]: Taking taylor expansion of 2.0 in beta
11.732 * [backup-simplify]: Simplify 2.0 into 2.0
11.732 * [taylor]: Taking taylor expansion of i in beta
11.732 * [backup-simplify]: Simplify i into i
11.732 * [taylor]: Taking taylor expansion of beta in beta
11.732 * [backup-simplify]: Simplify 0 into 0
11.732 * [backup-simplify]: Simplify 1 into 1
11.732 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
11.732 * [taylor]: Taking taylor expansion of alpha in beta
11.732 * [backup-simplify]: Simplify alpha into alpha
11.732 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
11.732 * [taylor]: Taking taylor expansion of 2.0 in beta
11.733 * [backup-simplify]: Simplify 2.0 into 2.0
11.733 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.733 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.733 * [taylor]: Taking taylor expansion of 2.0 in beta
11.733 * [backup-simplify]: Simplify 2.0 into 2.0
11.733 * [taylor]: Taking taylor expansion of i in beta
11.733 * [backup-simplify]: Simplify i into i
11.733 * [taylor]: Taking taylor expansion of beta in beta
11.733 * [backup-simplify]: Simplify 0 into 0
11.733 * [backup-simplify]: Simplify 1 into 1
11.733 * [backup-simplify]: Simplify (* 1 1) into 1
11.733 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.733 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.733 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
11.733 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.733 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.734 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
11.734 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
11.734 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
11.734 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
11.734 * [taylor]: Taking taylor expansion of 1.0 in beta
11.734 * [backup-simplify]: Simplify 1.0 into 1.0
11.734 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
11.734 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
11.734 * [taylor]: Taking taylor expansion of alpha in beta
11.734 * [backup-simplify]: Simplify alpha into alpha
11.734 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
11.734 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
11.734 * [taylor]: Taking taylor expansion of alpha in beta
11.734 * [backup-simplify]: Simplify alpha into alpha
11.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.734 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.734 * [taylor]: Taking taylor expansion of 2.0 in beta
11.734 * [backup-simplify]: Simplify 2.0 into 2.0
11.734 * [taylor]: Taking taylor expansion of i in beta
11.734 * [backup-simplify]: Simplify i into i
11.734 * [taylor]: Taking taylor expansion of beta in beta
11.735 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify 1 into 1
11.735 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
11.735 * [taylor]: Taking taylor expansion of alpha in beta
11.735 * [backup-simplify]: Simplify alpha into alpha
11.735 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
11.735 * [taylor]: Taking taylor expansion of 2.0 in beta
11.735 * [backup-simplify]: Simplify 2.0 into 2.0
11.735 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.735 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.735 * [taylor]: Taking taylor expansion of 2.0 in beta
11.735 * [backup-simplify]: Simplify 2.0 into 2.0
11.735 * [taylor]: Taking taylor expansion of i in beta
11.735 * [backup-simplify]: Simplify i into i
11.735 * [taylor]: Taking taylor expansion of beta in beta
11.735 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify 1 into 1
11.735 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.735 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.735 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.735 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
11.735 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.735 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.735 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
11.735 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
11.736 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
11.736 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
11.736 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
11.736 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
11.736 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.736 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.736 * [taylor]: Taking taylor expansion of beta in alpha
11.736 * [backup-simplify]: Simplify beta into beta
11.736 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.736 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.736 * [taylor]: Taking taylor expansion of alpha in alpha
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.736 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.736 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.736 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.736 * [backup-simplify]: Simplify 2.0 into 2.0
11.736 * [taylor]: Taking taylor expansion of i in alpha
11.736 * [backup-simplify]: Simplify i into i
11.736 * [taylor]: Taking taylor expansion of beta in alpha
11.737 * [backup-simplify]: Simplify beta into beta
11.737 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.737 * [taylor]: Taking taylor expansion of alpha in alpha
11.737 * [backup-simplify]: Simplify 0 into 0
11.737 * [backup-simplify]: Simplify 1 into 1
11.737 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.737 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.737 * [backup-simplify]: Simplify 2.0 into 2.0
11.737 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.737 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.737 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.737 * [backup-simplify]: Simplify 2.0 into 2.0
11.737 * [taylor]: Taking taylor expansion of i in alpha
11.737 * [backup-simplify]: Simplify i into i
11.737 * [taylor]: Taking taylor expansion of beta in alpha
11.737 * [backup-simplify]: Simplify beta into beta
11.737 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.737 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.737 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.737 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.737 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.737 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.737 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.738 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.738 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.738 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
11.738 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.738 * [backup-simplify]: Simplify 1.0 into 1.0
11.738 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.738 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.738 * [taylor]: Taking taylor expansion of alpha in alpha
11.738 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify 1 into 1
11.738 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.738 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.738 * [taylor]: Taking taylor expansion of alpha in alpha
11.738 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify 1 into 1
11.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.738 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.738 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.738 * [backup-simplify]: Simplify 2.0 into 2.0
11.738 * [taylor]: Taking taylor expansion of i in alpha
11.738 * [backup-simplify]: Simplify i into i
11.738 * [taylor]: Taking taylor expansion of beta in alpha
11.739 * [backup-simplify]: Simplify beta into beta
11.739 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.739 * [taylor]: Taking taylor expansion of alpha in alpha
11.739 * [backup-simplify]: Simplify 0 into 0
11.739 * [backup-simplify]: Simplify 1 into 1
11.739 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.739 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.739 * [backup-simplify]: Simplify 2.0 into 2.0
11.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.739 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.739 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.739 * [backup-simplify]: Simplify 2.0 into 2.0
11.739 * [taylor]: Taking taylor expansion of i in alpha
11.739 * [backup-simplify]: Simplify i into i
11.739 * [taylor]: Taking taylor expansion of beta in alpha
11.739 * [backup-simplify]: Simplify beta into beta
11.739 * [backup-simplify]: Simplify (* 1 1) into 1
11.739 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.740 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.740 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.740 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.740 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.740 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.740 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.740 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.740 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
11.740 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
11.740 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
11.740 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.741 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.741 * [taylor]: Taking taylor expansion of beta in alpha
11.741 * [backup-simplify]: Simplify beta into beta
11.741 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.741 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.741 * [taylor]: Taking taylor expansion of alpha in alpha
11.741 * [backup-simplify]: Simplify 0 into 0
11.741 * [backup-simplify]: Simplify 1 into 1
11.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.741 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.741 * [backup-simplify]: Simplify 2.0 into 2.0
11.741 * [taylor]: Taking taylor expansion of i in alpha
11.741 * [backup-simplify]: Simplify i into i
11.741 * [taylor]: Taking taylor expansion of beta in alpha
11.741 * [backup-simplify]: Simplify beta into beta
11.741 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.741 * [taylor]: Taking taylor expansion of alpha in alpha
11.741 * [backup-simplify]: Simplify 0 into 0
11.741 * [backup-simplify]: Simplify 1 into 1
11.741 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.741 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.741 * [backup-simplify]: Simplify 2.0 into 2.0
11.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.741 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.741 * [backup-simplify]: Simplify 2.0 into 2.0
11.741 * [taylor]: Taking taylor expansion of i in alpha
11.741 * [backup-simplify]: Simplify i into i
11.741 * [taylor]: Taking taylor expansion of beta in alpha
11.741 * [backup-simplify]: Simplify beta into beta
11.741 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.741 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.741 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.742 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.742 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.742 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.742 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.742 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.742 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.742 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
11.742 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.742 * [backup-simplify]: Simplify 1.0 into 1.0
11.743 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.743 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.743 * [taylor]: Taking taylor expansion of alpha in alpha
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.743 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.743 * [taylor]: Taking taylor expansion of alpha in alpha
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.743 * [backup-simplify]: Simplify 2.0 into 2.0
11.743 * [taylor]: Taking taylor expansion of i in alpha
11.743 * [backup-simplify]: Simplify i into i
11.743 * [taylor]: Taking taylor expansion of beta in alpha
11.743 * [backup-simplify]: Simplify beta into beta
11.743 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.743 * [taylor]: Taking taylor expansion of alpha in alpha
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.743 * [backup-simplify]: Simplify 2.0 into 2.0
11.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.743 * [backup-simplify]: Simplify 2.0 into 2.0
11.743 * [taylor]: Taking taylor expansion of i in alpha
11.743 * [backup-simplify]: Simplify i into i
11.743 * [taylor]: Taking taylor expansion of beta in alpha
11.743 * [backup-simplify]: Simplify beta into beta
11.744 * [backup-simplify]: Simplify (* 1 1) into 1
11.744 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.744 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.744 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.744 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.744 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.744 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.744 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.745 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
11.745 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
11.746 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
11.746 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
11.746 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
11.746 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.746 * [taylor]: Taking taylor expansion of beta in beta
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 1 into 1
11.746 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
11.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.746 * [taylor]: Taking taylor expansion of 2.0 in beta
11.746 * [backup-simplify]: Simplify 2.0 into 2.0
11.746 * [taylor]: Taking taylor expansion of i in beta
11.746 * [backup-simplify]: Simplify i into i
11.746 * [taylor]: Taking taylor expansion of beta in beta
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 1 into 1
11.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.746 * [taylor]: Taking taylor expansion of 2.0 in beta
11.746 * [backup-simplify]: Simplify 2.0 into 2.0
11.746 * [taylor]: Taking taylor expansion of i in beta
11.746 * [backup-simplify]: Simplify i into i
11.746 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.746 * [taylor]: Taking taylor expansion of beta in beta
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [backup-simplify]: Simplify 1 into 1
11.746 * [taylor]: Taking taylor expansion of 2.0 in beta
11.746 * [backup-simplify]: Simplify 2.0 into 2.0
11.747 * [backup-simplify]: Simplify (* 1 1) into 1
11.747 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.747 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.747 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.748 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.748 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.748 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
11.748 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
11.748 * [taylor]: Taking taylor expansion of 1.0 in beta
11.748 * [backup-simplify]: Simplify 1.0 into 1.0
11.749 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
11.749 * [taylor]: Taking taylor expansion of 1.0 in i
11.749 * [backup-simplify]: Simplify 1.0 into 1.0
11.749 * [backup-simplify]: Simplify 1.0 into 1.0
11.749 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
11.749 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
11.750 * [backup-simplify]: Simplify (+ 0 0) into 0
11.750 * [backup-simplify]: Simplify (+ 0 0) into 0
11.751 * [backup-simplify]: Simplify (+ 1 0) into 1
11.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
11.752 * [backup-simplify]: Simplify (+ 0 0) into 0
11.752 * [backup-simplify]: Simplify (+ 1 0) into 1
11.753 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
11.754 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
11.758 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
11.761 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
11.761 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
11.761 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
11.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
11.761 * [taylor]: Taking taylor expansion of 4.0 in beta
11.762 * [backup-simplify]: Simplify 4.0 into 4.0
11.762 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.762 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.762 * [taylor]: Taking taylor expansion of i in beta
11.762 * [backup-simplify]: Simplify i into i
11.762 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.762 * [taylor]: Taking taylor expansion of beta in beta
11.762 * [backup-simplify]: Simplify 0 into 0
11.762 * [backup-simplify]: Simplify 1 into 1
11.762 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.762 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.762 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.762 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.762 * [taylor]: Taking taylor expansion of 2.0 in beta
11.762 * [backup-simplify]: Simplify 2.0 into 2.0
11.762 * [taylor]: Taking taylor expansion of i in beta
11.762 * [backup-simplify]: Simplify i into i
11.762 * [taylor]: Taking taylor expansion of beta in beta
11.762 * [backup-simplify]: Simplify 0 into 0
11.762 * [backup-simplify]: Simplify 1 into 1
11.762 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.762 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.762 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.762 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.762 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.762 * [taylor]: Taking taylor expansion of 2.0 in beta
11.762 * [backup-simplify]: Simplify 2.0 into 2.0
11.762 * [taylor]: Taking taylor expansion of i in beta
11.763 * [backup-simplify]: Simplify i into i
11.763 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.763 * [taylor]: Taking taylor expansion of beta in beta
11.763 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify 1 into 1
11.763 * [taylor]: Taking taylor expansion of 2.0 in beta
11.763 * [backup-simplify]: Simplify 2.0 into 2.0
11.763 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.763 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.764 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.764 * [backup-simplify]: Simplify (* 1 1) into 1
11.764 * [backup-simplify]: Simplify (* i 1) into i
11.764 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.764 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.765 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.765 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
11.765 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
11.765 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
11.765 * [taylor]: Taking taylor expansion of 2 in beta
11.765 * [backup-simplify]: Simplify 2 into 2
11.765 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.765 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.765 * [taylor]: Taking taylor expansion of beta in beta
11.765 * [backup-simplify]: Simplify 0 into 0
11.765 * [backup-simplify]: Simplify 1 into 1
11.765 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.765 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.765 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.765 * [taylor]: Taking taylor expansion of 2.0 in beta
11.766 * [backup-simplify]: Simplify 2.0 into 2.0
11.766 * [taylor]: Taking taylor expansion of i in beta
11.766 * [backup-simplify]: Simplify i into i
11.766 * [taylor]: Taking taylor expansion of beta in beta
11.766 * [backup-simplify]: Simplify 0 into 0
11.766 * [backup-simplify]: Simplify 1 into 1
11.766 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.766 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.766 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.766 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.766 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.766 * [taylor]: Taking taylor expansion of 2.0 in beta
11.766 * [backup-simplify]: Simplify 2.0 into 2.0
11.766 * [taylor]: Taking taylor expansion of i in beta
11.766 * [backup-simplify]: Simplify i into i
11.766 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.766 * [taylor]: Taking taylor expansion of beta in beta
11.766 * [backup-simplify]: Simplify 0 into 0
11.766 * [backup-simplify]: Simplify 1 into 1
11.766 * [taylor]: Taking taylor expansion of 2.0 in beta
11.766 * [backup-simplify]: Simplify 2.0 into 2.0
11.766 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.767 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.767 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.767 * [backup-simplify]: Simplify (* 1 1) into 1
11.768 * [backup-simplify]: Simplify (* 1 1) into 1
11.768 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.768 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.768 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.769 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.769 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
11.769 * [taylor]: Taking taylor expansion of 2.0 in beta
11.769 * [backup-simplify]: Simplify 2.0 into 2.0
11.769 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.769 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.769 * [taylor]: Taking taylor expansion of beta in beta
11.769 * [backup-simplify]: Simplify 0 into 0
11.769 * [backup-simplify]: Simplify 1 into 1
11.769 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.769 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.769 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.769 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.769 * [taylor]: Taking taylor expansion of 2.0 in beta
11.769 * [backup-simplify]: Simplify 2.0 into 2.0
11.769 * [taylor]: Taking taylor expansion of i in beta
11.769 * [backup-simplify]: Simplify i into i
11.769 * [taylor]: Taking taylor expansion of beta in beta
11.769 * [backup-simplify]: Simplify 0 into 0
11.769 * [backup-simplify]: Simplify 1 into 1
11.769 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.769 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.769 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.769 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.769 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.769 * [taylor]: Taking taylor expansion of 2.0 in beta
11.769 * [backup-simplify]: Simplify 2.0 into 2.0
11.770 * [taylor]: Taking taylor expansion of i in beta
11.770 * [backup-simplify]: Simplify i into i
11.770 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.770 * [taylor]: Taking taylor expansion of beta in beta
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 1 into 1
11.770 * [taylor]: Taking taylor expansion of 2.0 in beta
11.770 * [backup-simplify]: Simplify 2.0 into 2.0
11.770 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.770 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.770 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.771 * [backup-simplify]: Simplify (* 1 1) into 1
11.771 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.771 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.771 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.772 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.772 * [backup-simplify]: Simplify (+ 0 0) into 0
11.772 * [taylor]: Taking taylor expansion of 0 in i
11.772 * [backup-simplify]: Simplify 0 into 0
11.772 * [backup-simplify]: Simplify 0 into 0
11.772 * [backup-simplify]: Simplify 0 into 0
11.773 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
11.774 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
11.774 * [backup-simplify]: Simplify (+ 0 0) into 0
11.775 * [backup-simplify]: Simplify (+ 0 0) into 0
11.775 * [backup-simplify]: Simplify (+ 0 0) into 0
11.776 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
11.776 * [backup-simplify]: Simplify (+ 0 0) into 0
11.777 * [backup-simplify]: Simplify (+ 0 0) into 0
11.777 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
11.782 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
11.787 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
11.788 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
11.793 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
11.793 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
11.793 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
11.793 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
11.793 * [taylor]: Taking taylor expansion of 16.0 in beta
11.793 * [backup-simplify]: Simplify 16.0 into 16.0
11.793 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.793 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
11.793 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.793 * [taylor]: Taking taylor expansion of i in beta
11.793 * [backup-simplify]: Simplify i into i
11.793 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.793 * [taylor]: Taking taylor expansion of beta in beta
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 1 into 1
11.793 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.793 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.793 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.793 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.793 * [taylor]: Taking taylor expansion of 2.0 in beta
11.793 * [backup-simplify]: Simplify 2.0 into 2.0
11.793 * [taylor]: Taking taylor expansion of i in beta
11.793 * [backup-simplify]: Simplify i into i
11.793 * [taylor]: Taking taylor expansion of beta in beta
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 1 into 1
11.793 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.793 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.793 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.793 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.793 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.793 * [taylor]: Taking taylor expansion of 2.0 in beta
11.793 * [backup-simplify]: Simplify 2.0 into 2.0
11.793 * [taylor]: Taking taylor expansion of i in beta
11.793 * [backup-simplify]: Simplify i into i
11.793 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.793 * [taylor]: Taking taylor expansion of beta in beta
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 1 into 1
11.793 * [taylor]: Taking taylor expansion of 2.0 in beta
11.793 * [backup-simplify]: Simplify 2.0 into 2.0
11.794 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.794 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.794 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.794 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.794 * [backup-simplify]: Simplify (* 1 1) into 1
11.794 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
11.794 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.795 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.795 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.795 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.795 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.795 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
11.795 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
11.795 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
11.795 * [taylor]: Taking taylor expansion of 4 in beta
11.795 * [backup-simplify]: Simplify 4 into 4
11.795 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.795 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
11.795 * [taylor]: Taking taylor expansion of beta in beta
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify 1 into 1
11.795 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.795 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.796 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.796 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.796 * [taylor]: Taking taylor expansion of 2.0 in beta
11.796 * [backup-simplify]: Simplify 2.0 into 2.0
11.796 * [taylor]: Taking taylor expansion of i in beta
11.796 * [backup-simplify]: Simplify i into i
11.796 * [taylor]: Taking taylor expansion of beta in beta
11.796 * [backup-simplify]: Simplify 0 into 0
11.796 * [backup-simplify]: Simplify 1 into 1
11.796 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.796 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.796 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.796 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.796 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.796 * [taylor]: Taking taylor expansion of 2.0 in beta
11.796 * [backup-simplify]: Simplify 2.0 into 2.0
11.796 * [taylor]: Taking taylor expansion of i in beta
11.796 * [backup-simplify]: Simplify i into i
11.796 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.796 * [taylor]: Taking taylor expansion of beta in beta
11.796 * [backup-simplify]: Simplify 0 into 0
11.796 * [backup-simplify]: Simplify 1 into 1
11.796 * [taylor]: Taking taylor expansion of 2.0 in beta
11.796 * [backup-simplify]: Simplify 2.0 into 2.0
11.796 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.796 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.796 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.797 * [backup-simplify]: Simplify (* 1 1) into 1
11.797 * [backup-simplify]: Simplify (* 1 1) into 1
11.797 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.797 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.797 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.797 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.797 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.798 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.798 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
11.798 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
11.798 * [taylor]: Taking taylor expansion of 8.0 in beta
11.798 * [backup-simplify]: Simplify 8.0 into 8.0
11.798 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.798 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.798 * [taylor]: Taking taylor expansion of beta in beta
11.798 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify 1 into 1
11.798 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.798 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.798 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.798 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.798 * [taylor]: Taking taylor expansion of 2.0 in beta
11.798 * [backup-simplify]: Simplify 2.0 into 2.0
11.798 * [taylor]: Taking taylor expansion of i in beta
11.798 * [backup-simplify]: Simplify i into i
11.798 * [taylor]: Taking taylor expansion of beta in beta
11.798 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify 1 into 1
11.798 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.798 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.798 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.798 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.798 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.798 * [taylor]: Taking taylor expansion of 2.0 in beta
11.798 * [backup-simplify]: Simplify 2.0 into 2.0
11.798 * [taylor]: Taking taylor expansion of i in beta
11.798 * [backup-simplify]: Simplify i into i
11.798 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.798 * [taylor]: Taking taylor expansion of beta in beta
11.798 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify 1 into 1
11.798 * [taylor]: Taking taylor expansion of 2.0 in beta
11.798 * [backup-simplify]: Simplify 2.0 into 2.0
11.798 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.799 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.799 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.799 * [backup-simplify]: Simplify (* 1 1) into 1
11.799 * [backup-simplify]: Simplify (* 1 1) into 1
11.799 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.800 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.800 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.800 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.800 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.800 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.800 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
11.800 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
11.800 * [taylor]: Taking taylor expansion of 16.0 in beta
11.800 * [backup-simplify]: Simplify 16.0 into 16.0
11.800 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.800 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
11.800 * [taylor]: Taking taylor expansion of i in beta
11.800 * [backup-simplify]: Simplify i into i
11.800 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.800 * [taylor]: Taking taylor expansion of beta in beta
11.800 * [backup-simplify]: Simplify 0 into 0
11.800 * [backup-simplify]: Simplify 1 into 1
11.800 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.801 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.801 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.801 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.801 * [taylor]: Taking taylor expansion of 2.0 in beta
11.801 * [backup-simplify]: Simplify 2.0 into 2.0
11.801 * [taylor]: Taking taylor expansion of i in beta
11.801 * [backup-simplify]: Simplify i into i
11.801 * [taylor]: Taking taylor expansion of beta in beta
11.801 * [backup-simplify]: Simplify 0 into 0
11.801 * [backup-simplify]: Simplify 1 into 1
11.801 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.801 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.801 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.801 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.801 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.801 * [taylor]: Taking taylor expansion of 2.0 in beta
11.801 * [backup-simplify]: Simplify 2.0 into 2.0
11.801 * [taylor]: Taking taylor expansion of i in beta
11.801 * [backup-simplify]: Simplify i into i
11.801 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.801 * [taylor]: Taking taylor expansion of beta in beta
11.801 * [backup-simplify]: Simplify 0 into 0
11.801 * [backup-simplify]: Simplify 1 into 1
11.801 * [taylor]: Taking taylor expansion of 2.0 in beta
11.801 * [backup-simplify]: Simplify 2.0 into 2.0
11.801 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.801 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.802 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.802 * [backup-simplify]: Simplify (* 1 1) into 1
11.802 * [backup-simplify]: Simplify (* 1 1) into 1
11.802 * [backup-simplify]: Simplify (* i 1) into i
11.802 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.802 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.802 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.803 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.803 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.803 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
11.803 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
11.803 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
11.803 * [taylor]: Taking taylor expansion of 16.0 in beta
11.803 * [backup-simplify]: Simplify 16.0 into 16.0
11.803 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.803 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.803 * [taylor]: Taking taylor expansion of i in beta
11.803 * [backup-simplify]: Simplify i into i
11.803 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.803 * [taylor]: Taking taylor expansion of beta in beta
11.803 * [backup-simplify]: Simplify 0 into 0
11.803 * [backup-simplify]: Simplify 1 into 1
11.803 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.803 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.803 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.803 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.803 * [taylor]: Taking taylor expansion of 2.0 in beta
11.803 * [backup-simplify]: Simplify 2.0 into 2.0
11.803 * [taylor]: Taking taylor expansion of i in beta
11.803 * [backup-simplify]: Simplify i into i
11.803 * [taylor]: Taking taylor expansion of beta in beta
11.803 * [backup-simplify]: Simplify 0 into 0
11.803 * [backup-simplify]: Simplify 1 into 1
11.803 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.803 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.803 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.803 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.803 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.804 * [taylor]: Taking taylor expansion of 2.0 in beta
11.804 * [backup-simplify]: Simplify 2.0 into 2.0
11.804 * [taylor]: Taking taylor expansion of i in beta
11.804 * [backup-simplify]: Simplify i into i
11.804 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.804 * [taylor]: Taking taylor expansion of beta in beta
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [backup-simplify]: Simplify 1 into 1
11.804 * [taylor]: Taking taylor expansion of 2.0 in beta
11.804 * [backup-simplify]: Simplify 2.0 into 2.0
11.804 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.804 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.804 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.804 * [backup-simplify]: Simplify (* 1 1) into 1
11.804 * [backup-simplify]: Simplify (* i 1) into i
11.804 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.805 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.805 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.805 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.805 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.805 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
11.805 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
11.805 * [taylor]: Taking taylor expansion of 4.0 in beta
11.805 * [backup-simplify]: Simplify 4.0 into 4.0
11.805 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.805 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.805 * [taylor]: Taking taylor expansion of beta in beta
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.805 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.805 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.805 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.805 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.805 * [taylor]: Taking taylor expansion of 2.0 in beta
11.805 * [backup-simplify]: Simplify 2.0 into 2.0
11.805 * [taylor]: Taking taylor expansion of i in beta
11.805 * [backup-simplify]: Simplify i into i
11.805 * [taylor]: Taking taylor expansion of beta in beta
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify 1 into 1
11.806 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.806 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.806 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.806 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.806 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.806 * [taylor]: Taking taylor expansion of 2.0 in beta
11.806 * [backup-simplify]: Simplify 2.0 into 2.0
11.806 * [taylor]: Taking taylor expansion of i in beta
11.806 * [backup-simplify]: Simplify i into i
11.806 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.806 * [taylor]: Taking taylor expansion of beta in beta
11.806 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify 1 into 1
11.806 * [taylor]: Taking taylor expansion of 2.0 in beta
11.806 * [backup-simplify]: Simplify 2.0 into 2.0
11.806 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.806 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.806 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.806 * [backup-simplify]: Simplify (* 1 1) into 1
11.807 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.807 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.807 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.807 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.807 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.807 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
11.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
11.807 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
11.807 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
11.807 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.807 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.807 * [taylor]: Taking taylor expansion of 2.0 in beta
11.807 * [backup-simplify]: Simplify 2.0 into 2.0
11.807 * [taylor]: Taking taylor expansion of i in beta
11.808 * [backup-simplify]: Simplify i into i
11.808 * [taylor]: Taking taylor expansion of beta in beta
11.808 * [backup-simplify]: Simplify 0 into 0
11.808 * [backup-simplify]: Simplify 1 into 1
11.808 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.808 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.808 * [taylor]: Taking taylor expansion of 2.0 in beta
11.808 * [backup-simplify]: Simplify 2.0 into 2.0
11.808 * [taylor]: Taking taylor expansion of i in beta
11.808 * [backup-simplify]: Simplify i into i
11.808 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.808 * [taylor]: Taking taylor expansion of beta in beta
11.808 * [backup-simplify]: Simplify 0 into 0
11.808 * [backup-simplify]: Simplify 1 into 1
11.808 * [taylor]: Taking taylor expansion of 2.0 in beta
11.808 * [backup-simplify]: Simplify 2.0 into 2.0
11.808 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.808 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.808 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.808 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.808 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.808 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
11.808 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
11.808 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.808 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.808 * [taylor]: Taking taylor expansion of beta in beta
11.808 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.809 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.809 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.809 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.809 * [taylor]: Taking taylor expansion of 2.0 in beta
11.809 * [backup-simplify]: Simplify 2.0 into 2.0
11.809 * [taylor]: Taking taylor expansion of i in beta
11.809 * [backup-simplify]: Simplify i into i
11.809 * [taylor]: Taking taylor expansion of beta in beta
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.809 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.809 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.809 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.809 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.809 * [taylor]: Taking taylor expansion of 2.0 in beta
11.809 * [backup-simplify]: Simplify 2.0 into 2.0
11.809 * [taylor]: Taking taylor expansion of i in beta
11.809 * [backup-simplify]: Simplify i into i
11.809 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.809 * [taylor]: Taking taylor expansion of beta in beta
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [taylor]: Taking taylor expansion of 2.0 in beta
11.809 * [backup-simplify]: Simplify 2.0 into 2.0
11.809 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.809 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.809 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.810 * [backup-simplify]: Simplify (* 1 1) into 1
11.810 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.810 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.810 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.810 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
11.810 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
11.810 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
11.811 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
11.811 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
11.811 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
11.811 * [taylor]: Taking taylor expansion of 0.5 in i
11.811 * [backup-simplify]: Simplify 0.5 into 0.5
11.811 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
11.811 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
11.811 * [taylor]: Taking taylor expansion of i in i
11.811 * [backup-simplify]: Simplify 0 into 0
11.811 * [backup-simplify]: Simplify 1 into 1
11.811 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.811 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.811 * [taylor]: Taking taylor expansion of 2.0 in i
11.811 * [backup-simplify]: Simplify 2.0 into 2.0
11.811 * [taylor]: Taking taylor expansion of i in i
11.811 * [backup-simplify]: Simplify 0 into 0
11.811 * [backup-simplify]: Simplify 1 into 1
11.811 * [taylor]: Taking taylor expansion of 2.0 in i
11.811 * [backup-simplify]: Simplify 2.0 into 2.0
11.811 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.811 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.812 * [backup-simplify]: Simplify (* 0 2.0) into 0
11.813 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.813 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.815 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
11.815 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
11.816 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.816 * [backup-simplify]: Simplify (+ 0 0) into 0
11.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
11.821 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
11.823 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
11.824 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
11.824 * [backup-simplify]: Simplify 0.25 into 0.25
11.824 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
11.824 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
11.824 * [taylor]: Taking taylor expansion of 0.5 in i
11.824 * [backup-simplify]: Simplify 0.5 into 0.5
11.824 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
11.824 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
11.824 * [taylor]: Taking taylor expansion of i in i
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 1 into 1
11.825 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.825 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.825 * [taylor]: Taking taylor expansion of 2.0 in i
11.825 * [backup-simplify]: Simplify 2.0 into 2.0
11.825 * [taylor]: Taking taylor expansion of i in i
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 1 into 1
11.825 * [taylor]: Taking taylor expansion of 2.0 in i
11.825 * [backup-simplify]: Simplify 2.0 into 2.0
11.825 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.826 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.826 * [backup-simplify]: Simplify (* 0 2.0) into 0
11.828 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.828 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.829 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
11.830 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
11.831 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.831 * [backup-simplify]: Simplify (+ 0 0) into 0
11.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
11.835 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
11.837 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
11.838 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
11.838 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
11.839 * [backup-simplify]: Simplify (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
11.840 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
11.840 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
11.840 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
11.840 * [taylor]: Taking taylor expansion of 1.0 in i
11.840 * [backup-simplify]: Simplify 1.0 into 1.0
11.840 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
11.840 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
11.840 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
11.840 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.840 * [taylor]: Taking taylor expansion of alpha in i
11.840 * [backup-simplify]: Simplify alpha into alpha
11.840 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.840 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
11.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.840 * [taylor]: Taking taylor expansion of 2.0 in i
11.840 * [backup-simplify]: Simplify 2.0 into 2.0
11.840 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.840 * [taylor]: Taking taylor expansion of i in i
11.840 * [backup-simplify]: Simplify 0 into 0
11.840 * [backup-simplify]: Simplify 1 into 1
11.841 * [backup-simplify]: Simplify (/ 1 1) into 1
11.841 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
11.841 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.841 * [taylor]: Taking taylor expansion of beta in i
11.841 * [backup-simplify]: Simplify beta into beta
11.841 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.841 * [taylor]: Taking taylor expansion of 2.0 in i
11.841 * [backup-simplify]: Simplify 2.0 into 2.0
11.841 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
11.841 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.841 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.841 * [taylor]: Taking taylor expansion of alpha in i
11.841 * [backup-simplify]: Simplify alpha into alpha
11.841 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.841 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.841 * [taylor]: Taking taylor expansion of 2.0 in i
11.841 * [backup-simplify]: Simplify 2.0 into 2.0
11.841 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.841 * [taylor]: Taking taylor expansion of i in i
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify 1 into 1
11.842 * [backup-simplify]: Simplify (/ 1 1) into 1
11.842 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.842 * [taylor]: Taking taylor expansion of beta in i
11.842 * [backup-simplify]: Simplify beta into beta
11.842 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.842 * [taylor]: Taking taylor expansion of (pow beta 2) in i
11.842 * [taylor]: Taking taylor expansion of beta in i
11.842 * [backup-simplify]: Simplify beta into beta
11.842 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.843 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.843 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.843 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.844 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.844 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.844 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.845 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
11.845 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
11.845 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
11.845 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
11.845 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
11.845 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
11.845 * [taylor]: Taking taylor expansion of alpha in i
11.845 * [backup-simplify]: Simplify alpha into alpha
11.845 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
11.845 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.845 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.845 * [taylor]: Taking taylor expansion of alpha in i
11.845 * [backup-simplify]: Simplify alpha into alpha
11.845 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.845 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.845 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.845 * [taylor]: Taking taylor expansion of 2.0 in i
11.845 * [backup-simplify]: Simplify 2.0 into 2.0
11.846 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.846 * [taylor]: Taking taylor expansion of i in i
11.846 * [backup-simplify]: Simplify 0 into 0
11.846 * [backup-simplify]: Simplify 1 into 1
11.846 * [backup-simplify]: Simplify (/ 1 1) into 1
11.846 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.846 * [taylor]: Taking taylor expansion of beta in i
11.846 * [backup-simplify]: Simplify beta into beta
11.846 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.846 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
11.846 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.846 * [taylor]: Taking taylor expansion of alpha in i
11.846 * [backup-simplify]: Simplify alpha into alpha
11.846 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.846 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
11.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.846 * [taylor]: Taking taylor expansion of 2.0 in i
11.846 * [backup-simplify]: Simplify 2.0 into 2.0
11.846 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.847 * [taylor]: Taking taylor expansion of i in i
11.847 * [backup-simplify]: Simplify 0 into 0
11.847 * [backup-simplify]: Simplify 1 into 1
11.847 * [backup-simplify]: Simplify (/ 1 1) into 1
11.847 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
11.847 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.847 * [taylor]: Taking taylor expansion of beta in i
11.847 * [backup-simplify]: Simplify beta into beta
11.847 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.847 * [taylor]: Taking taylor expansion of 2.0 in i
11.847 * [backup-simplify]: Simplify 2.0 into 2.0
11.847 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.848 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.848 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.849 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.849 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.849 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.850 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.850 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
11.850 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
11.850 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
11.851 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
11.851 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
11.851 * [taylor]: Taking taylor expansion of 1.0 in beta
11.851 * [backup-simplify]: Simplify 1.0 into 1.0
11.851 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
11.851 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
11.851 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
11.851 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.851 * [taylor]: Taking taylor expansion of alpha in beta
11.851 * [backup-simplify]: Simplify alpha into alpha
11.851 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.851 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
11.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.851 * [taylor]: Taking taylor expansion of 2.0 in beta
11.851 * [backup-simplify]: Simplify 2.0 into 2.0
11.851 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.851 * [taylor]: Taking taylor expansion of i in beta
11.851 * [backup-simplify]: Simplify i into i
11.851 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.851 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
11.851 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.851 * [taylor]: Taking taylor expansion of beta in beta
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 1 into 1
11.852 * [backup-simplify]: Simplify (/ 1 1) into 1
11.852 * [taylor]: Taking taylor expansion of 2.0 in beta
11.852 * [backup-simplify]: Simplify 2.0 into 2.0
11.852 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
11.852 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.852 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.852 * [taylor]: Taking taylor expansion of alpha in beta
11.852 * [backup-simplify]: Simplify alpha into alpha
11.852 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.852 * [taylor]: Taking taylor expansion of 2.0 in beta
11.852 * [backup-simplify]: Simplify 2.0 into 2.0
11.852 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.852 * [taylor]: Taking taylor expansion of i in beta
11.852 * [backup-simplify]: Simplify i into i
11.852 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.852 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.852 * [taylor]: Taking taylor expansion of beta in beta
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify 1 into 1
11.853 * [backup-simplify]: Simplify (/ 1 1) into 1
11.853 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.853 * [taylor]: Taking taylor expansion of beta in beta
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [backup-simplify]: Simplify (+ 1 0) into 1
11.854 * [backup-simplify]: Simplify (+ 0 1) into 1
11.854 * [backup-simplify]: Simplify (+ 0 1) into 1
11.854 * [backup-simplify]: Simplify (+ 0 1) into 1
11.855 * [backup-simplify]: Simplify (+ 0 1) into 1
11.855 * [backup-simplify]: Simplify (* 1 1) into 1
11.855 * [backup-simplify]: Simplify (* 1 1) into 1
11.856 * [backup-simplify]: Simplify (* 1 1) into 1
11.856 * [backup-simplify]: Simplify (/ 1 1) into 1
11.856 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
11.856 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
11.856 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
11.856 * [taylor]: Taking taylor expansion of alpha in beta
11.856 * [backup-simplify]: Simplify alpha into alpha
11.856 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
11.856 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.856 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.856 * [taylor]: Taking taylor expansion of alpha in beta
11.856 * [backup-simplify]: Simplify alpha into alpha
11.856 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.857 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.857 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.857 * [taylor]: Taking taylor expansion of 2.0 in beta
11.857 * [backup-simplify]: Simplify 2.0 into 2.0
11.857 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.857 * [taylor]: Taking taylor expansion of i in beta
11.857 * [backup-simplify]: Simplify i into i
11.857 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.857 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.857 * [taylor]: Taking taylor expansion of beta in beta
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify 1 into 1
11.857 * [backup-simplify]: Simplify (/ 1 1) into 1
11.857 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
11.857 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.857 * [taylor]: Taking taylor expansion of alpha in beta
11.857 * [backup-simplify]: Simplify alpha into alpha
11.857 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.857 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
11.857 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.857 * [taylor]: Taking taylor expansion of 2.0 in beta
11.857 * [backup-simplify]: Simplify 2.0 into 2.0
11.857 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.858 * [taylor]: Taking taylor expansion of i in beta
11.858 * [backup-simplify]: Simplify i into i
11.858 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.858 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
11.858 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.858 * [taylor]: Taking taylor expansion of beta in beta
11.858 * [backup-simplify]: Simplify 0 into 0
11.858 * [backup-simplify]: Simplify 1 into 1
11.858 * [backup-simplify]: Simplify (/ 1 1) into 1
11.858 * [taylor]: Taking taylor expansion of 2.0 in beta
11.858 * [backup-simplify]: Simplify 2.0 into 2.0
11.858 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.859 * [backup-simplify]: Simplify (+ 0 1) into 1
11.859 * [backup-simplify]: Simplify (+ 0 1) into 1
11.859 * [backup-simplify]: Simplify (+ 1 0) into 1
11.860 * [backup-simplify]: Simplify (+ 0 1) into 1
11.860 * [backup-simplify]: Simplify (+ 0 1) into 1
11.860 * [backup-simplify]: Simplify (* 1 1) into 1
11.861 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
11.861 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
11.861 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
11.861 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
11.861 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.861 * [backup-simplify]: Simplify 1.0 into 1.0
11.861 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
11.861 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
11.861 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.861 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.861 * [taylor]: Taking taylor expansion of alpha in alpha
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.866 * [backup-simplify]: Simplify (/ 1 1) into 1
11.866 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.866 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.866 * [backup-simplify]: Simplify 2.0 into 2.0
11.866 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.866 * [taylor]: Taking taylor expansion of i in alpha
11.866 * [backup-simplify]: Simplify i into i
11.867 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.867 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.867 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.867 * [taylor]: Taking taylor expansion of beta in alpha
11.867 * [backup-simplify]: Simplify beta into beta
11.867 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.867 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.867 * [backup-simplify]: Simplify 2.0 into 2.0
11.867 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
11.867 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.867 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.867 * [taylor]: Taking taylor expansion of alpha in alpha
11.867 * [backup-simplify]: Simplify 0 into 0
11.867 * [backup-simplify]: Simplify 1 into 1
11.868 * [backup-simplify]: Simplify (/ 1 1) into 1
11.868 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.868 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.868 * [backup-simplify]: Simplify 2.0 into 2.0
11.868 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.868 * [taylor]: Taking taylor expansion of i in alpha
11.868 * [backup-simplify]: Simplify i into i
11.868 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.868 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.868 * [taylor]: Taking taylor expansion of beta in alpha
11.868 * [backup-simplify]: Simplify beta into beta
11.868 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.868 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.868 * [taylor]: Taking taylor expansion of beta in alpha
11.868 * [backup-simplify]: Simplify beta into beta
11.869 * [backup-simplify]: Simplify (+ 1 0) into 1
11.869 * [backup-simplify]: Simplify (+ 1 0) into 1
11.869 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.869 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.869 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.869 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
11.869 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
11.869 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
11.869 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.869 * [taylor]: Taking taylor expansion of alpha in alpha
11.869 * [backup-simplify]: Simplify 0 into 0
11.869 * [backup-simplify]: Simplify 1 into 1
11.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
11.869 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.869 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.869 * [taylor]: Taking taylor expansion of alpha in alpha
11.869 * [backup-simplify]: Simplify 0 into 0
11.869 * [backup-simplify]: Simplify 1 into 1
11.870 * [backup-simplify]: Simplify (/ 1 1) into 1
11.870 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.870 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.870 * [backup-simplify]: Simplify 2.0 into 2.0
11.870 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.870 * [taylor]: Taking taylor expansion of i in alpha
11.870 * [backup-simplify]: Simplify i into i
11.870 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.870 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.870 * [taylor]: Taking taylor expansion of beta in alpha
11.870 * [backup-simplify]: Simplify beta into beta
11.870 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.870 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.870 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.870 * [taylor]: Taking taylor expansion of alpha in alpha
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [backup-simplify]: Simplify 1 into 1
11.870 * [backup-simplify]: Simplify (/ 1 1) into 1
11.870 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.870 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.870 * [backup-simplify]: Simplify 2.0 into 2.0
11.870 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.870 * [taylor]: Taking taylor expansion of i in alpha
11.870 * [backup-simplify]: Simplify i into i
11.870 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.870 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.870 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.870 * [taylor]: Taking taylor expansion of beta in alpha
11.870 * [backup-simplify]: Simplify beta into beta
11.870 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.870 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.870 * [backup-simplify]: Simplify 2.0 into 2.0
11.871 * [backup-simplify]: Simplify (* 1 1) into 1
11.871 * [backup-simplify]: Simplify (+ 1 0) into 1
11.871 * [backup-simplify]: Simplify (+ 1 0) into 1
11.871 * [backup-simplify]: Simplify (* 1 1) into 1
11.872 * [backup-simplify]: Simplify (* 1 1) into 1
11.872 * [backup-simplify]: Simplify (/ 1 1) into 1
11.872 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
11.872 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
11.872 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.872 * [backup-simplify]: Simplify 1.0 into 1.0
11.872 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
11.872 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
11.872 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.872 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.872 * [taylor]: Taking taylor expansion of alpha in alpha
11.872 * [backup-simplify]: Simplify 0 into 0
11.872 * [backup-simplify]: Simplify 1 into 1
11.872 * [backup-simplify]: Simplify (/ 1 1) into 1
11.872 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.872 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.872 * [backup-simplify]: Simplify 2.0 into 2.0
11.872 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.872 * [taylor]: Taking taylor expansion of i in alpha
11.873 * [backup-simplify]: Simplify i into i
11.873 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.873 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.873 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.873 * [taylor]: Taking taylor expansion of beta in alpha
11.873 * [backup-simplify]: Simplify beta into beta
11.873 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.873 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.873 * [backup-simplify]: Simplify 2.0 into 2.0
11.873 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
11.873 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.873 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.873 * [taylor]: Taking taylor expansion of alpha in alpha
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify 1 into 1
11.873 * [backup-simplify]: Simplify (/ 1 1) into 1
11.873 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.873 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.873 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.873 * [backup-simplify]: Simplify 2.0 into 2.0
11.873 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.873 * [taylor]: Taking taylor expansion of i in alpha
11.873 * [backup-simplify]: Simplify i into i
11.873 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.873 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.873 * [taylor]: Taking taylor expansion of beta in alpha
11.873 * [backup-simplify]: Simplify beta into beta
11.873 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.873 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.873 * [taylor]: Taking taylor expansion of beta in alpha
11.873 * [backup-simplify]: Simplify beta into beta
11.874 * [backup-simplify]: Simplify (+ 1 0) into 1
11.874 * [backup-simplify]: Simplify (+ 1 0) into 1
11.874 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.874 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.874 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.874 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
11.874 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
11.874 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
11.874 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.874 * [taylor]: Taking taylor expansion of alpha in alpha
11.875 * [backup-simplify]: Simplify 0 into 0
11.875 * [backup-simplify]: Simplify 1 into 1
11.875 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
11.875 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.875 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.875 * [taylor]: Taking taylor expansion of alpha in alpha
11.875 * [backup-simplify]: Simplify 0 into 0
11.875 * [backup-simplify]: Simplify 1 into 1
11.875 * [backup-simplify]: Simplify (/ 1 1) into 1
11.875 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.875 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.875 * [backup-simplify]: Simplify 2.0 into 2.0
11.875 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.875 * [taylor]: Taking taylor expansion of i in alpha
11.875 * [backup-simplify]: Simplify i into i
11.875 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.875 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.875 * [taylor]: Taking taylor expansion of beta in alpha
11.875 * [backup-simplify]: Simplify beta into beta
11.875 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.875 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.875 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.875 * [taylor]: Taking taylor expansion of alpha in alpha
11.875 * [backup-simplify]: Simplify 0 into 0
11.875 * [backup-simplify]: Simplify 1 into 1
11.875 * [backup-simplify]: Simplify (/ 1 1) into 1
11.875 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.876 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.876 * [backup-simplify]: Simplify 2.0 into 2.0
11.876 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.876 * [taylor]: Taking taylor expansion of i in alpha
11.876 * [backup-simplify]: Simplify i into i
11.876 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.876 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.876 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.876 * [taylor]: Taking taylor expansion of beta in alpha
11.876 * [backup-simplify]: Simplify beta into beta
11.876 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.876 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.876 * [backup-simplify]: Simplify 2.0 into 2.0
11.876 * [backup-simplify]: Simplify (* 1 1) into 1
11.876 * [backup-simplify]: Simplify (+ 1 0) into 1
11.876 * [backup-simplify]: Simplify (+ 1 0) into 1
11.877 * [backup-simplify]: Simplify (* 1 1) into 1
11.877 * [backup-simplify]: Simplify (* 1 1) into 1
11.877 * [backup-simplify]: Simplify (/ 1 1) into 1
11.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
11.878 * [backup-simplify]: Simplify (- 1) into -1
11.878 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
11.878 * [taylor]: Taking taylor expansion of 0 in beta
11.878 * [backup-simplify]: Simplify 0 into 0
11.878 * [taylor]: Taking taylor expansion of 0 in i
11.878 * [backup-simplify]: Simplify 0 into 0
11.878 * [backup-simplify]: Simplify 0 into 0
11.878 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.879 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.879 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
11.879 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.879 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.880 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.880 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.880 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.880 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
11.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.881 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
11.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
11.881 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
11.881 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
11.881 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
11.881 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
11.881 * [taylor]: Taking taylor expansion of 4.0 in beta
11.881 * [backup-simplify]: Simplify 4.0 into 4.0
11.881 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.881 * [taylor]: Taking taylor expansion of i in beta
11.881 * [backup-simplify]: Simplify i into i
11.882 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.882 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
11.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
11.882 * [taylor]: Taking taylor expansion of 2 in beta
11.882 * [backup-simplify]: Simplify 2 into 2
11.882 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.882 * [taylor]: Taking taylor expansion of beta in beta
11.882 * [backup-simplify]: Simplify 0 into 0
11.882 * [backup-simplify]: Simplify 1 into 1
11.882 * [backup-simplify]: Simplify (/ 1 1) into 1
11.882 * [taylor]: Taking taylor expansion of 2.0 in beta
11.882 * [backup-simplify]: Simplify 2.0 into 2.0
11.882 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
11.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.883 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
11.883 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.883 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
11.883 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
11.883 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
11.883 * [taylor]: Taking taylor expansion of 4.0 in i
11.883 * [backup-simplify]: Simplify 4.0 into 4.0
11.883 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.883 * [taylor]: Taking taylor expansion of i in i
11.883 * [backup-simplify]: Simplify 0 into 0
11.883 * [backup-simplify]: Simplify 1 into 1
11.883 * [backup-simplify]: Simplify (/ 1 1) into 1
11.884 * [taylor]: Taking taylor expansion of 2.0 in i
11.884 * [backup-simplify]: Simplify 2.0 into 2.0
11.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.884 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
11.885 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.885 * [backup-simplify]: Simplify 2.0 into 2.0
11.885 * [taylor]: Taking taylor expansion of 0 in i
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
11.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.886 * [backup-simplify]: Simplify (+ 0 0) into 0
11.886 * [backup-simplify]: Simplify (+ 0 0) into 0
11.887 * [backup-simplify]: Simplify (+ 0 0) into 0
11.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.887 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.888 * [backup-simplify]: Simplify (+ 0 0) into 0
11.888 * [backup-simplify]: Simplify (+ 0 0) into 0
11.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
11.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.890 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
11.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
11.892 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
11.893 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
11.893 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
11.893 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
11.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
11.893 * [taylor]: Taking taylor expansion of 2 in beta
11.893 * [backup-simplify]: Simplify 2 into 2
11.893 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
11.893 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.893 * [taylor]: Taking taylor expansion of beta in beta
11.893 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify 1 into 1
11.894 * [backup-simplify]: Simplify (* 1 1) into 1
11.894 * [backup-simplify]: Simplify (/ 1 1) into 1
11.894 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
11.894 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
11.894 * [taylor]: Taking taylor expansion of 12.0 in beta
11.894 * [backup-simplify]: Simplify 12.0 into 12.0
11.894 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
11.894 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.894 * [taylor]: Taking taylor expansion of i in beta
11.894 * [backup-simplify]: Simplify i into i
11.894 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.894 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.894 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
11.894 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
11.894 * [taylor]: Taking taylor expansion of 6.0 in beta
11.894 * [backup-simplify]: Simplify 6.0 into 6.0
11.894 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.894 * [taylor]: Taking taylor expansion of beta in beta
11.894 * [backup-simplify]: Simplify 0 into 0
11.894 * [backup-simplify]: Simplify 1 into 1
11.895 * [backup-simplify]: Simplify (/ 1 1) into 1
11.895 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
11.895 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
11.895 * [taylor]: Taking taylor expansion of 12.0 in beta
11.895 * [backup-simplify]: Simplify 12.0 into 12.0
11.895 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.895 * [taylor]: Taking taylor expansion of i in beta
11.895 * [backup-simplify]: Simplify i into i
11.895 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.895 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
11.895 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
11.895 * [taylor]: Taking taylor expansion of 12.0 in beta
11.895 * [backup-simplify]: Simplify 12.0 into 12.0
11.895 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
11.895 * [taylor]: Taking taylor expansion of (* i beta) in beta
11.895 * [taylor]: Taking taylor expansion of i in beta
11.895 * [backup-simplify]: Simplify i into i
11.895 * [taylor]: Taking taylor expansion of beta in beta
11.895 * [backup-simplify]: Simplify 0 into 0
11.895 * [backup-simplify]: Simplify 1 into 1
11.895 * [backup-simplify]: Simplify (* i 0) into 0
11.895 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
11.896 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.896 * [taylor]: Taking taylor expansion of 4.0 in beta
11.896 * [backup-simplify]: Simplify 4.0 into 4.0
11.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.899 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.899 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
11.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.901 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
11.901 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
11.902 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
11.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.902 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
11.903 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.903 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
11.903 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
11.903 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
11.904 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
11.904 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
11.904 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
11.904 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
11.904 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
11.904 * [taylor]: Taking taylor expansion of 12.0 in i
11.904 * [backup-simplify]: Simplify 12.0 into 12.0
11.904 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
11.904 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.904 * [taylor]: Taking taylor expansion of i in i
11.904 * [backup-simplify]: Simplify 0 into 0
11.904 * [backup-simplify]: Simplify 1 into 1
11.905 * [backup-simplify]: Simplify (* 1 1) into 1
11.905 * [backup-simplify]: Simplify (/ 1 1) into 1
11.905 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
11.905 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
11.905 * [taylor]: Taking taylor expansion of 12.0 in i
11.905 * [backup-simplify]: Simplify 12.0 into 12.0
11.905 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.905 * [taylor]: Taking taylor expansion of i in i
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 1 into 1
11.905 * [backup-simplify]: Simplify (/ 1 1) into 1
11.905 * [taylor]: Taking taylor expansion of 4.0 in i
11.905 * [backup-simplify]: Simplify 4.0 into 4.0
11.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.907 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
11.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.908 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
11.909 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.909 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.909 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
11.909 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
11.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.910 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
11.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.911 * [backup-simplify]: Simplify (+ 0 0) into 0
11.911 * [backup-simplify]: Simplify (+ 0 0) into 0
11.911 * [taylor]: Taking taylor expansion of 0 in i
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [taylor]: Taking taylor expansion of 0 in i
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.912 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
11.913 * [backup-simplify]: Simplify (+ 0 0) into 0
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
11.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.913 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.913 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.914 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.914 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
11.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.915 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.915 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
11.915 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.915 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.915 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
11.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
11.916 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
11.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
11.917 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
11.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
11.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
11.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
11.920 * [backup-simplify]: Simplify (+ 0 0) into 0
11.920 * [backup-simplify]: Simplify (+ 0 0) into 0
11.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
11.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
11.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
11.927 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
11.929 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
11.929 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
11.929 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
11.929 * [taylor]: Taking taylor expansion of 20.0 in beta
11.929 * [backup-simplify]: Simplify 20.0 into 20.0
11.929 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
11.929 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.929 * [taylor]: Taking taylor expansion of i in beta
11.929 * [backup-simplify]: Simplify i into i
11.929 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.929 * [taylor]: Taking taylor expansion of beta in beta
11.930 * [backup-simplify]: Simplify 0 into 0
11.930 * [backup-simplify]: Simplify 1 into 1
11.930 * [backup-simplify]: Simplify (* 1 1) into 1
11.930 * [backup-simplify]: Simplify (* i 1) into i
11.930 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.930 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
11.930 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
11.930 * [taylor]: Taking taylor expansion of 48.0 in beta
11.930 * [backup-simplify]: Simplify 48.0 into 48.0
11.930 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
11.930 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.930 * [taylor]: Taking taylor expansion of i in beta
11.930 * [backup-simplify]: Simplify i into i
11.930 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.930 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.930 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
11.930 * [taylor]: Taking taylor expansion of 8.0 in beta
11.930 * [backup-simplify]: Simplify 8.0 into 8.0
11.930 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
11.930 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
11.930 * [taylor]: Taking taylor expansion of 10.0 in beta
11.930 * [backup-simplify]: Simplify 10.0 into 10.0
11.931 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
11.931 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.931 * [taylor]: Taking taylor expansion of beta in beta
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (* 1 1) into 1
11.931 * [backup-simplify]: Simplify (/ 1 1) into 1
11.931 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
11.931 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
11.931 * [taylor]: Taking taylor expansion of 48.0 in beta
11.931 * [backup-simplify]: Simplify 48.0 into 48.0
11.931 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
11.931 * [taylor]: Taking taylor expansion of (* i beta) in beta
11.931 * [taylor]: Taking taylor expansion of i in beta
11.931 * [backup-simplify]: Simplify i into i
11.931 * [taylor]: Taking taylor expansion of beta in beta
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (* i 0) into 0
11.932 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
11.932 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.932 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
11.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
11.932 * [taylor]: Taking taylor expansion of 2 in beta
11.932 * [backup-simplify]: Simplify 2 into 2
11.932 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
11.932 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.932 * [taylor]: Taking taylor expansion of beta in beta
11.932 * [backup-simplify]: Simplify 0 into 0
11.932 * [backup-simplify]: Simplify 1 into 1
11.932 * [backup-simplify]: Simplify (* 1 1) into 1
11.932 * [backup-simplify]: Simplify (* 1 1) into 1
11.933 * [backup-simplify]: Simplify (/ 1 1) into 1
11.933 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
11.933 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
11.933 * [taylor]: Taking taylor expansion of 48.0 in beta
11.933 * [backup-simplify]: Simplify 48.0 into 48.0
11.933 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
11.933 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
11.933 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.933 * [taylor]: Taking taylor expansion of i in beta
11.933 * [backup-simplify]: Simplify i into i
11.933 * [taylor]: Taking taylor expansion of beta in beta
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify 1 into 1
11.933 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.933 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
11.933 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
11.934 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
11.934 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.934 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
11.934 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
11.934 * [taylor]: Taking taylor expansion of 32.0 in beta
11.934 * [backup-simplify]: Simplify 32.0 into 32.0
11.934 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.934 * [taylor]: Taking taylor expansion of i in beta
11.934 * [backup-simplify]: Simplify i into i
11.934 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.934 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
11.934 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
11.934 * [taylor]: Taking taylor expansion of 16.0 in beta
11.934 * [backup-simplify]: Simplify 16.0 into 16.0
11.934 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.935 * [taylor]: Taking taylor expansion of beta in beta
11.935 * [backup-simplify]: Simplify 0 into 0
11.935 * [backup-simplify]: Simplify 1 into 1
11.935 * [backup-simplify]: Simplify (/ 1 1) into 1
11.935 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
11.935 * [taylor]: Taking taylor expansion of 32.0 in beta
11.935 * [backup-simplify]: Simplify 32.0 into 32.0
11.935 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
11.935 * [taylor]: Taking taylor expansion of (pow i 3) in beta
11.935 * [taylor]: Taking taylor expansion of i in beta
11.935 * [backup-simplify]: Simplify i into i
11.935 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.935 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
11.936 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
11.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.938 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
11.939 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
11.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
11.940 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
11.940 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
11.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.944 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
11.945 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
11.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.945 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
11.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.955 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
11.955 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
11.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
11.956 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
11.956 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
11.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.958 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
11.958 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
11.958 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
11.958 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
11.959 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
11.959 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
11.960 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
11.960 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
11.960 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
11.961 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
11.962 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
11.962 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
11.962 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
11.962 * [taylor]: Taking taylor expansion of 48.0 in i
11.962 * [backup-simplify]: Simplify 48.0 into 48.0
11.962 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
11.962 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.962 * [taylor]: Taking taylor expansion of i in i
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 1 into 1
11.963 * [backup-simplify]: Simplify (* 1 1) into 1
11.964 * [backup-simplify]: Simplify (/ 1 1) into 1
11.964 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
11.964 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
11.964 * [taylor]: Taking taylor expansion of 32.0 in i
11.964 * [backup-simplify]: Simplify 32.0 into 32.0
11.964 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
11.964 * [taylor]: Taking taylor expansion of (pow i 3) in i
11.964 * [taylor]: Taking taylor expansion of i in i
11.964 * [backup-simplify]: Simplify 0 into 0
11.964 * [backup-simplify]: Simplify 1 into 1
11.965 * [backup-simplify]: Simplify (* 1 1) into 1
11.965 * [backup-simplify]: Simplify (* 1 1) into 1
11.965 * [backup-simplify]: Simplify (/ 1 1) into 1
11.965 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
11.965 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
11.965 * [taylor]: Taking taylor expansion of 32.0 in i
11.965 * [backup-simplify]: Simplify 32.0 into 32.0
11.966 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.966 * [taylor]: Taking taylor expansion of i in i
11.966 * [backup-simplify]: Simplify 0 into 0
11.966 * [backup-simplify]: Simplify 1 into 1
11.966 * [backup-simplify]: Simplify (/ 1 1) into 1
11.966 * [taylor]: Taking taylor expansion of 8.0 in i
11.966 * [backup-simplify]: Simplify 8.0 into 8.0
11.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.970 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
11.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.986 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.987 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
11.988 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
11.988 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
11.989 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
11.989 * [backup-simplify]: Simplify 8.0 into 8.0
11.990 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
11.992 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
11.992 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
11.992 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
11.992 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
11.992 * [taylor]: Taking taylor expansion of 1.0 in i
11.992 * [backup-simplify]: Simplify 1.0 into 1.0
11.992 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
11.992 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
11.992 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
11.992 * [taylor]: Taking taylor expansion of alpha in i
11.992 * [backup-simplify]: Simplify alpha into alpha
11.992 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
11.992 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
11.992 * [taylor]: Taking taylor expansion of 2.0 in i
11.992 * [backup-simplify]: Simplify 2.0 into 2.0
11.992 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.992 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.992 * [taylor]: Taking taylor expansion of alpha in i
11.992 * [backup-simplify]: Simplify alpha into alpha
11.992 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.992 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.992 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.992 * [taylor]: Taking taylor expansion of 2.0 in i
11.992 * [backup-simplify]: Simplify 2.0 into 2.0
11.993 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.993 * [taylor]: Taking taylor expansion of i in i
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 1 into 1
11.993 * [backup-simplify]: Simplify (/ 1 1) into 1
11.993 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.993 * [taylor]: Taking taylor expansion of beta in i
11.993 * [backup-simplify]: Simplify beta into beta
11.993 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.993 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.993 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.993 * [taylor]: Taking taylor expansion of alpha in i
11.993 * [backup-simplify]: Simplify alpha into alpha
11.993 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.994 * [taylor]: Taking taylor expansion of 2.0 in i
11.994 * [backup-simplify]: Simplify 2.0 into 2.0
11.994 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.994 * [taylor]: Taking taylor expansion of i in i
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 1 into 1
11.994 * [backup-simplify]: Simplify (/ 1 1) into 1
11.994 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.994 * [taylor]: Taking taylor expansion of beta in i
11.994 * [backup-simplify]: Simplify beta into beta
11.994 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.994 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.995 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.995 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.996 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.996 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
11.997 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
11.997 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.998 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.998 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.999 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
11.999 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
11.999 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
12.000 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
12.000 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
12.000 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.000 * [taylor]: Taking taylor expansion of 2.0 in i
12.000 * [backup-simplify]: Simplify 2.0 into 2.0
12.000 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.000 * [taylor]: Taking taylor expansion of alpha in i
12.000 * [backup-simplify]: Simplify alpha into alpha
12.000 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.000 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.000 * [taylor]: Taking taylor expansion of 2.0 in i
12.000 * [backup-simplify]: Simplify 2.0 into 2.0
12.000 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.000 * [taylor]: Taking taylor expansion of i in i
12.000 * [backup-simplify]: Simplify 0 into 0
12.000 * [backup-simplify]: Simplify 1 into 1
12.000 * [backup-simplify]: Simplify (/ 1 1) into 1
12.000 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.000 * [taylor]: Taking taylor expansion of beta in i
12.001 * [backup-simplify]: Simplify beta into beta
12.001 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.001 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
12.001 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.001 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.001 * [taylor]: Taking taylor expansion of alpha in i
12.001 * [backup-simplify]: Simplify alpha into alpha
12.001 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.001 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.001 * [taylor]: Taking taylor expansion of 2.0 in i
12.001 * [backup-simplify]: Simplify 2.0 into 2.0
12.001 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.001 * [taylor]: Taking taylor expansion of i in i
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.001 * [backup-simplify]: Simplify (/ 1 1) into 1
12.001 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.001 * [taylor]: Taking taylor expansion of beta in i
12.002 * [backup-simplify]: Simplify beta into beta
12.002 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.002 * [taylor]: Taking taylor expansion of (pow beta 2) in i
12.002 * [taylor]: Taking taylor expansion of beta in i
12.002 * [backup-simplify]: Simplify beta into beta
12.002 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.003 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.003 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.003 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.004 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.005 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.005 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.005 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.006 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.006 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
12.006 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
12.006 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
12.006 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
12.006 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
12.007 * [taylor]: Taking taylor expansion of 1.0 in beta
12.007 * [backup-simplify]: Simplify 1.0 into 1.0
12.007 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
12.007 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.007 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
12.007 * [taylor]: Taking taylor expansion of alpha in beta
12.007 * [backup-simplify]: Simplify alpha into alpha
12.007 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.007 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.007 * [taylor]: Taking taylor expansion of 2.0 in beta
12.007 * [backup-simplify]: Simplify 2.0 into 2.0
12.007 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.007 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.007 * [taylor]: Taking taylor expansion of alpha in beta
12.007 * [backup-simplify]: Simplify alpha into alpha
12.007 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.007 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.007 * [taylor]: Taking taylor expansion of 2.0 in beta
12.007 * [backup-simplify]: Simplify 2.0 into 2.0
12.007 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.007 * [taylor]: Taking taylor expansion of i in beta
12.007 * [backup-simplify]: Simplify i into i
12.007 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.007 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.007 * [taylor]: Taking taylor expansion of beta in beta
12.007 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify 1 into 1
12.008 * [backup-simplify]: Simplify (/ 1 1) into 1
12.008 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.008 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.008 * [taylor]: Taking taylor expansion of alpha in beta
12.008 * [backup-simplify]: Simplify alpha into alpha
12.008 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.008 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.008 * [taylor]: Taking taylor expansion of 2.0 in beta
12.008 * [backup-simplify]: Simplify 2.0 into 2.0
12.008 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.008 * [taylor]: Taking taylor expansion of i in beta
12.008 * [backup-simplify]: Simplify i into i
12.008 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.008 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.008 * [taylor]: Taking taylor expansion of beta in beta
12.008 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify 1 into 1
12.009 * [backup-simplify]: Simplify (/ 1 1) into 1
12.009 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.009 * [backup-simplify]: Simplify (+ 0 1) into 1
12.010 * [backup-simplify]: Simplify (+ 0 1) into 1
12.010 * [backup-simplify]: Simplify (- 1) into -1
12.010 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.011 * [backup-simplify]: Simplify (+ 0 1) into 1
12.011 * [backup-simplify]: Simplify (+ 0 1) into 1
12.012 * [backup-simplify]: Simplify (* -1 1) into -1
12.012 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
12.012 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
12.012 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
12.012 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
12.012 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.012 * [taylor]: Taking taylor expansion of 2.0 in beta
12.012 * [backup-simplify]: Simplify 2.0 into 2.0
12.012 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.012 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.012 * [taylor]: Taking taylor expansion of alpha in beta
12.012 * [backup-simplify]: Simplify alpha into alpha
12.012 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.012 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.012 * [taylor]: Taking taylor expansion of 2.0 in beta
12.012 * [backup-simplify]: Simplify 2.0 into 2.0
12.012 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.012 * [taylor]: Taking taylor expansion of i in beta
12.012 * [backup-simplify]: Simplify i into i
12.013 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.013 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.013 * [taylor]: Taking taylor expansion of beta in beta
12.013 * [backup-simplify]: Simplify 0 into 0
12.013 * [backup-simplify]: Simplify 1 into 1
12.013 * [backup-simplify]: Simplify (/ 1 1) into 1
12.013 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
12.013 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.013 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.013 * [taylor]: Taking taylor expansion of alpha in beta
12.013 * [backup-simplify]: Simplify alpha into alpha
12.013 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.013 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.013 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.013 * [taylor]: Taking taylor expansion of 2.0 in beta
12.013 * [backup-simplify]: Simplify 2.0 into 2.0
12.013 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.013 * [taylor]: Taking taylor expansion of i in beta
12.013 * [backup-simplify]: Simplify i into i
12.014 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.014 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.014 * [taylor]: Taking taylor expansion of beta in beta
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify 1 into 1
12.014 * [backup-simplify]: Simplify (/ 1 1) into 1
12.014 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.014 * [taylor]: Taking taylor expansion of beta in beta
12.014 * [backup-simplify]: Simplify 0 into 0
12.014 * [backup-simplify]: Simplify 1 into 1
12.015 * [backup-simplify]: Simplify (+ 0 1) into 1
12.015 * [backup-simplify]: Simplify (+ 0 1) into 1
12.015 * [backup-simplify]: Simplify (- 1) into -1
12.016 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.016 * [backup-simplify]: Simplify (+ 0 1) into 1
12.016 * [backup-simplify]: Simplify (+ 0 1) into 1
12.017 * [backup-simplify]: Simplify (* 1 1) into 1
12.017 * [backup-simplify]: Simplify (* 1 1) into 1
12.018 * [backup-simplify]: Simplify (* -1 1) into -1
12.018 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.018 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
12.018 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
12.018 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.018 * [backup-simplify]: Simplify 1.0 into 1.0
12.018 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
12.018 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.018 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.018 * [taylor]: Taking taylor expansion of alpha in alpha
12.018 * [backup-simplify]: Simplify 0 into 0
12.018 * [backup-simplify]: Simplify 1 into 1
12.018 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.018 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.019 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.019 * [backup-simplify]: Simplify 2.0 into 2.0
12.019 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.019 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.019 * [taylor]: Taking taylor expansion of alpha in alpha
12.019 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify 1 into 1
12.019 * [backup-simplify]: Simplify (/ 1 1) into 1
12.019 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.019 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.019 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.019 * [backup-simplify]: Simplify 2.0 into 2.0
12.019 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.019 * [taylor]: Taking taylor expansion of i in alpha
12.019 * [backup-simplify]: Simplify i into i
12.019 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.019 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.019 * [taylor]: Taking taylor expansion of beta in alpha
12.019 * [backup-simplify]: Simplify beta into beta
12.020 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.020 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.020 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.020 * [taylor]: Taking taylor expansion of alpha in alpha
12.020 * [backup-simplify]: Simplify 0 into 0
12.020 * [backup-simplify]: Simplify 1 into 1
12.020 * [backup-simplify]: Simplify (/ 1 1) into 1
12.020 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.020 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.020 * [backup-simplify]: Simplify 2.0 into 2.0
12.020 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.020 * [taylor]: Taking taylor expansion of i in alpha
12.020 * [backup-simplify]: Simplify i into i
12.020 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.020 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.020 * [taylor]: Taking taylor expansion of beta in alpha
12.020 * [backup-simplify]: Simplify beta into beta
12.020 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.021 * [backup-simplify]: Simplify (* 1 1) into 1
12.021 * [backup-simplify]: Simplify (+ 1 0) into 1
12.021 * [backup-simplify]: Simplify (- 1) into -1
12.022 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.022 * [backup-simplify]: Simplify (+ 1 0) into 1
12.023 * [backup-simplify]: Simplify (* -1 1) into -1
12.023 * [backup-simplify]: Simplify (* 1 -1) into -1
12.023 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.024 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
12.024 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
12.024 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.024 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.024 * [backup-simplify]: Simplify 2.0 into 2.0
12.024 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.024 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.024 * [taylor]: Taking taylor expansion of alpha in alpha
12.024 * [backup-simplify]: Simplify 0 into 0
12.024 * [backup-simplify]: Simplify 1 into 1
12.024 * [backup-simplify]: Simplify (/ 1 1) into 1
12.024 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.024 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.024 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.024 * [backup-simplify]: Simplify 2.0 into 2.0
12.024 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.024 * [taylor]: Taking taylor expansion of i in alpha
12.024 * [backup-simplify]: Simplify i into i
12.024 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.024 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.024 * [taylor]: Taking taylor expansion of beta in alpha
12.024 * [backup-simplify]: Simplify beta into beta
12.024 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.025 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
12.025 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.025 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.025 * [taylor]: Taking taylor expansion of alpha in alpha
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 1 into 1
12.025 * [backup-simplify]: Simplify (/ 1 1) into 1
12.025 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.025 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.025 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.025 * [backup-simplify]: Simplify 2.0 into 2.0
12.025 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.025 * [taylor]: Taking taylor expansion of i in alpha
12.025 * [backup-simplify]: Simplify i into i
12.025 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.025 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.025 * [taylor]: Taking taylor expansion of beta in alpha
12.025 * [backup-simplify]: Simplify beta into beta
12.025 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.025 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.025 * [taylor]: Taking taylor expansion of beta in alpha
12.025 * [backup-simplify]: Simplify beta into beta
12.025 * [backup-simplify]: Simplify (+ 1 0) into 1
12.026 * [backup-simplify]: Simplify (- 1) into -1
12.026 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.026 * [backup-simplify]: Simplify (+ 1 0) into 1
12.026 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.026 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.026 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
12.026 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
12.027 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
12.027 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
12.027 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.027 * [backup-simplify]: Simplify 1.0 into 1.0
12.027 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
12.027 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.027 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.027 * [taylor]: Taking taylor expansion of alpha in alpha
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.027 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.027 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.027 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.027 * [backup-simplify]: Simplify 2.0 into 2.0
12.027 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.027 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.027 * [taylor]: Taking taylor expansion of alpha in alpha
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.027 * [backup-simplify]: Simplify (/ 1 1) into 1
12.027 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.027 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.027 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.027 * [backup-simplify]: Simplify 2.0 into 2.0
12.027 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.027 * [taylor]: Taking taylor expansion of i in alpha
12.027 * [backup-simplify]: Simplify i into i
12.027 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.027 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.027 * [taylor]: Taking taylor expansion of beta in alpha
12.027 * [backup-simplify]: Simplify beta into beta
12.027 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.027 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.027 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.027 * [taylor]: Taking taylor expansion of alpha in alpha
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.028 * [backup-simplify]: Simplify (/ 1 1) into 1
12.028 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.028 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.028 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.028 * [backup-simplify]: Simplify 2.0 into 2.0
12.028 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.028 * [taylor]: Taking taylor expansion of i in alpha
12.028 * [backup-simplify]: Simplify i into i
12.028 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.028 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.028 * [taylor]: Taking taylor expansion of beta in alpha
12.028 * [backup-simplify]: Simplify beta into beta
12.028 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.028 * [backup-simplify]: Simplify (* 1 1) into 1
12.028 * [backup-simplify]: Simplify (+ 1 0) into 1
12.029 * [backup-simplify]: Simplify (- 1) into -1
12.029 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.029 * [backup-simplify]: Simplify (+ 1 0) into 1
12.029 * [backup-simplify]: Simplify (* -1 1) into -1
12.030 * [backup-simplify]: Simplify (* 1 -1) into -1
12.030 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.030 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
12.030 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
12.030 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.030 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.030 * [backup-simplify]: Simplify 2.0 into 2.0
12.030 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.030 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.030 * [taylor]: Taking taylor expansion of alpha in alpha
12.030 * [backup-simplify]: Simplify 0 into 0
12.030 * [backup-simplify]: Simplify 1 into 1
12.030 * [backup-simplify]: Simplify (/ 1 1) into 1
12.030 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.030 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.030 * [backup-simplify]: Simplify 2.0 into 2.0
12.030 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.030 * [taylor]: Taking taylor expansion of i in alpha
12.030 * [backup-simplify]: Simplify i into i
12.030 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.030 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.031 * [taylor]: Taking taylor expansion of beta in alpha
12.031 * [backup-simplify]: Simplify beta into beta
12.031 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.031 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
12.031 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.031 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.031 * [taylor]: Taking taylor expansion of alpha in alpha
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 1 into 1
12.031 * [backup-simplify]: Simplify (/ 1 1) into 1
12.031 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.031 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.031 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.031 * [backup-simplify]: Simplify 2.0 into 2.0
12.031 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.031 * [taylor]: Taking taylor expansion of i in alpha
12.031 * [backup-simplify]: Simplify i into i
12.031 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.031 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.031 * [taylor]: Taking taylor expansion of beta in alpha
12.031 * [backup-simplify]: Simplify beta into beta
12.031 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.031 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.031 * [taylor]: Taking taylor expansion of beta in alpha
12.031 * [backup-simplify]: Simplify beta into beta
12.031 * [backup-simplify]: Simplify (+ 1 0) into 1
12.032 * [backup-simplify]: Simplify (- 1) into -1
12.032 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.032 * [backup-simplify]: Simplify (+ 1 0) into 1
12.032 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.032 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.032 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
12.033 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
12.033 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
12.033 * [backup-simplify]: Simplify (+ 0 0) into 0
12.033 * [taylor]: Taking taylor expansion of 0 in beta
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [taylor]: Taking taylor expansion of 0 in i
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.034 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.034 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.034 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.035 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.035 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.035 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.035 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
12.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.036 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
12.036 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.037 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.037 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.037 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
12.037 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
12.037 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
12.037 * [taylor]: Taking taylor expansion of 4.0 in beta
12.037 * [backup-simplify]: Simplify 4.0 into 4.0
12.037 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.037 * [taylor]: Taking taylor expansion of i in beta
12.037 * [backup-simplify]: Simplify i into i
12.037 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
12.037 * [taylor]: Taking taylor expansion of 2 in beta
12.037 * [backup-simplify]: Simplify 2 into 2
12.037 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.037 * [taylor]: Taking taylor expansion of beta in beta
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [backup-simplify]: Simplify (/ 1 1) into 1
12.037 * [taylor]: Taking taylor expansion of 2.0 in beta
12.037 * [backup-simplify]: Simplify 2.0 into 2.0
12.037 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
12.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.038 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
12.038 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.039 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
12.039 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
12.039 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
12.039 * [taylor]: Taking taylor expansion of 4.0 in i
12.039 * [backup-simplify]: Simplify 4.0 into 4.0
12.039 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.039 * [taylor]: Taking taylor expansion of i in i
12.039 * [backup-simplify]: Simplify 0 into 0
12.039 * [backup-simplify]: Simplify 1 into 1
12.039 * [backup-simplify]: Simplify (/ 1 1) into 1
12.039 * [taylor]: Taking taylor expansion of 2.0 in i
12.039 * [backup-simplify]: Simplify 2.0 into 2.0
12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.040 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
12.040 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.041 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.041 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.041 * [taylor]: Taking taylor expansion of 0 in i
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 0 into 0
12.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.042 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.042 * [backup-simplify]: Simplify (+ 0 0) into 0
12.043 * [backup-simplify]: Simplify (+ 0 0) into 0
12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.043 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.044 * [backup-simplify]: Simplify (+ 0 0) into 0
12.044 * [backup-simplify]: Simplify (+ 0 0) into 0
12.044 * [backup-simplify]: Simplify (- 0) into 0
12.044 * [backup-simplify]: Simplify (+ 0 0) into 0
12.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
12.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.047 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
12.048 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
12.048 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
12.049 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
12.049 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
12.049 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
12.049 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
12.049 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
12.049 * [taylor]: Taking taylor expansion of 12.0 in beta
12.049 * [backup-simplify]: Simplify 12.0 into 12.0
12.049 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.049 * [taylor]: Taking taylor expansion of i in beta
12.049 * [backup-simplify]: Simplify i into i
12.049 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.049 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
12.049 * [taylor]: Taking taylor expansion of 6.0 in beta
12.050 * [backup-simplify]: Simplify 6.0 into 6.0
12.050 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.050 * [taylor]: Taking taylor expansion of beta in beta
12.050 * [backup-simplify]: Simplify 0 into 0
12.050 * [backup-simplify]: Simplify 1 into 1
12.050 * [backup-simplify]: Simplify (/ 1 1) into 1
12.050 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
12.050 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
12.050 * [taylor]: Taking taylor expansion of 12.0 in beta
12.050 * [backup-simplify]: Simplify 12.0 into 12.0
12.050 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.050 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.050 * [taylor]: Taking taylor expansion of i in beta
12.050 * [backup-simplify]: Simplify i into i
12.050 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.050 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.050 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
12.050 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
12.050 * [taylor]: Taking taylor expansion of 12.0 in beta
12.050 * [backup-simplify]: Simplify 12.0 into 12.0
12.050 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.050 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.050 * [taylor]: Taking taylor expansion of i in beta
12.050 * [backup-simplify]: Simplify i into i
12.050 * [taylor]: Taking taylor expansion of beta in beta
12.050 * [backup-simplify]: Simplify 0 into 0
12.050 * [backup-simplify]: Simplify 1 into 1
12.050 * [backup-simplify]: Simplify (* i 0) into 0
12.051 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.051 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.051 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
12.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
12.051 * [taylor]: Taking taylor expansion of 2 in beta
12.051 * [backup-simplify]: Simplify 2 into 2
12.051 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.051 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.051 * [taylor]: Taking taylor expansion of beta in beta
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 1 into 1
12.051 * [backup-simplify]: Simplify (* 1 1) into 1
12.051 * [backup-simplify]: Simplify (/ 1 1) into 1
12.051 * [taylor]: Taking taylor expansion of 4.0 in beta
12.051 * [backup-simplify]: Simplify 4.0 into 4.0
12.051 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
12.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.052 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
12.053 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
12.053 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
12.053 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.054 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.059 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.059 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.059 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
12.060 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.060 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.060 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
12.060 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
12.060 * [taylor]: Taking taylor expansion of 12.0 in i
12.060 * [backup-simplify]: Simplify 12.0 into 12.0
12.060 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.060 * [taylor]: Taking taylor expansion of i in i
12.060 * [backup-simplify]: Simplify 0 into 0
12.060 * [backup-simplify]: Simplify 1 into 1
12.061 * [backup-simplify]: Simplify (/ 1 1) into 1
12.061 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
12.061 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
12.061 * [taylor]: Taking taylor expansion of 12.0 in i
12.061 * [backup-simplify]: Simplify 12.0 into 12.0
12.061 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.061 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.061 * [taylor]: Taking taylor expansion of i in i
12.061 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify 1 into 1
12.062 * [backup-simplify]: Simplify (* 1 1) into 1
12.062 * [backup-simplify]: Simplify (/ 1 1) into 1
12.062 * [taylor]: Taking taylor expansion of 4.0 in i
12.062 * [backup-simplify]: Simplify 4.0 into 4.0
12.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.064 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
12.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.068 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
12.068 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.069 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.069 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
12.069 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.070 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.071 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.071 * [backup-simplify]: Simplify (+ 0 0) into 0
12.071 * [backup-simplify]: Simplify (- 0) into 0
12.072 * [backup-simplify]: Simplify (+ 0 0) into 0
12.072 * [taylor]: Taking taylor expansion of 0 in i
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [taylor]: Taking taylor expansion of 0 in i
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.073 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
12.073 * [backup-simplify]: Simplify (- 0) into 0
12.073 * [backup-simplify]: Simplify (+ 0 0) into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.074 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.075 * [backup-simplify]: Simplify (+ 0 0) into 0
12.075 * [backup-simplify]: Simplify (+ 0 0) into 0
12.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.076 * [backup-simplify]: Simplify (+ 0 0) into 0
12.077 * [backup-simplify]: Simplify (+ 0 0) into 0
12.077 * [backup-simplify]: Simplify (- 0) into 0
12.077 * [backup-simplify]: Simplify (+ 0 0) into 0
12.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
12.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
12.082 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
12.083 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
12.084 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
12.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.084 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.084 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.084 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.085 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.085 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.085 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.086 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.086 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.086 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.086 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
12.087 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
12.087 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
12.089 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
12.089 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
12.089 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
12.089 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
12.089 * [taylor]: Taking taylor expansion of 20.0 in beta
12.089 * [backup-simplify]: Simplify 20.0 into 20.0
12.089 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
12.089 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.090 * [taylor]: Taking taylor expansion of i in beta
12.090 * [backup-simplify]: Simplify i into i
12.090 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.090 * [taylor]: Taking taylor expansion of beta in beta
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [backup-simplify]: Simplify 1 into 1
12.090 * [backup-simplify]: Simplify (* 1 1) into 1
12.090 * [backup-simplify]: Simplify (* i 1) into i
12.090 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.090 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
12.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
12.090 * [taylor]: Taking taylor expansion of 2 in beta
12.090 * [backup-simplify]: Simplify 2 into 2
12.090 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
12.090 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.090 * [taylor]: Taking taylor expansion of beta in beta
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [backup-simplify]: Simplify 1 into 1
12.090 * [backup-simplify]: Simplify (* 1 1) into 1
12.091 * [backup-simplify]: Simplify (* 1 1) into 1
12.091 * [backup-simplify]: Simplify (/ 1 1) into 1
12.091 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
12.091 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
12.091 * [taylor]: Taking taylor expansion of 48.0 in beta
12.091 * [backup-simplify]: Simplify 48.0 into 48.0
12.091 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
12.091 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
12.091 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.091 * [taylor]: Taking taylor expansion of i in beta
12.091 * [backup-simplify]: Simplify i into i
12.091 * [taylor]: Taking taylor expansion of beta in beta
12.091 * [backup-simplify]: Simplify 0 into 0
12.091 * [backup-simplify]: Simplify 1 into 1
12.091 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.091 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
12.091 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.092 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
12.092 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.092 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
12.092 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
12.092 * [taylor]: Taking taylor expansion of 32.0 in beta
12.092 * [backup-simplify]: Simplify 32.0 into 32.0
12.092 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.092 * [taylor]: Taking taylor expansion of i in beta
12.092 * [backup-simplify]: Simplify i into i
12.092 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.092 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
12.092 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
12.092 * [taylor]: Taking taylor expansion of 16.0 in beta
12.092 * [backup-simplify]: Simplify 16.0 into 16.0
12.092 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.092 * [taylor]: Taking taylor expansion of beta in beta
12.092 * [backup-simplify]: Simplify 0 into 0
12.092 * [backup-simplify]: Simplify 1 into 1
12.092 * [backup-simplify]: Simplify (/ 1 1) into 1
12.092 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
12.092 * [taylor]: Taking taylor expansion of 32.0 in beta
12.092 * [backup-simplify]: Simplify 32.0 into 32.0
12.092 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
12.092 * [taylor]: Taking taylor expansion of (pow i 3) in beta
12.092 * [taylor]: Taking taylor expansion of i in beta
12.092 * [backup-simplify]: Simplify i into i
12.092 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.092 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
12.093 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
12.093 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
12.093 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
12.093 * [taylor]: Taking taylor expansion of 10.0 in beta
12.093 * [backup-simplify]: Simplify 10.0 into 10.0
12.093 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.093 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.093 * [taylor]: Taking taylor expansion of beta in beta
12.093 * [backup-simplify]: Simplify 0 into 0
12.093 * [backup-simplify]: Simplify 1 into 1
12.093 * [backup-simplify]: Simplify (* 1 1) into 1
12.093 * [backup-simplify]: Simplify (/ 1 1) into 1
12.093 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
12.093 * [taylor]: Taking taylor expansion of 8.0 in beta
12.093 * [backup-simplify]: Simplify 8.0 into 8.0
12.093 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
12.093 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
12.093 * [taylor]: Taking taylor expansion of 48.0 in beta
12.093 * [backup-simplify]: Simplify 48.0 into 48.0
12.093 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.093 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.093 * [taylor]: Taking taylor expansion of i in beta
12.093 * [backup-simplify]: Simplify i into i
12.093 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.094 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.094 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
12.094 * [taylor]: Taking taylor expansion of 48.0 in beta
12.094 * [backup-simplify]: Simplify 48.0 into 48.0
12.094 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.094 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.094 * [taylor]: Taking taylor expansion of i in beta
12.094 * [backup-simplify]: Simplify i into i
12.094 * [taylor]: Taking taylor expansion of beta in beta
12.094 * [backup-simplify]: Simplify 0 into 0
12.094 * [backup-simplify]: Simplify 1 into 1
12.094 * [backup-simplify]: Simplify (* i 0) into 0
12.094 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.094 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.101 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
12.102 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
12.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.103 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.112 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
12.113 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
12.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
12.113 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
12.113 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
12.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.114 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
12.114 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
12.114 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
12.114 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
12.115 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.115 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.115 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.117 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
12.118 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
12.118 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.118 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
12.118 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
12.119 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
12.119 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
12.119 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
12.119 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
12.119 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
12.119 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
12.119 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
12.119 * [taylor]: Taking taylor expansion of 32.0 in i
12.119 * [backup-simplify]: Simplify 32.0 into 32.0
12.119 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.119 * [taylor]: Taking taylor expansion of i in i
12.119 * [backup-simplify]: Simplify 0 into 0
12.119 * [backup-simplify]: Simplify 1 into 1
12.120 * [backup-simplify]: Simplify (/ 1 1) into 1
12.120 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
12.120 * [taylor]: Taking taylor expansion of 32.0 in i
12.120 * [backup-simplify]: Simplify 32.0 into 32.0
12.120 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
12.120 * [taylor]: Taking taylor expansion of (pow i 3) in i
12.120 * [taylor]: Taking taylor expansion of i in i
12.120 * [backup-simplify]: Simplify 0 into 0
12.120 * [backup-simplify]: Simplify 1 into 1
12.120 * [backup-simplify]: Simplify (* 1 1) into 1
12.120 * [backup-simplify]: Simplify (* 1 1) into 1
12.120 * [backup-simplify]: Simplify (/ 1 1) into 1
12.120 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
12.121 * [taylor]: Taking taylor expansion of 8.0 in i
12.121 * [backup-simplify]: Simplify 8.0 into 8.0
12.121 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
12.121 * [taylor]: Taking taylor expansion of 48.0 in i
12.121 * [backup-simplify]: Simplify 48.0 into 48.0
12.121 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.121 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.121 * [taylor]: Taking taylor expansion of i in i
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify 1 into 1
12.121 * [backup-simplify]: Simplify (* 1 1) into 1
12.121 * [backup-simplify]: Simplify (/ 1 1) into 1
12.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.122 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
12.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.127 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.127 * [backup-simplify]: Simplify (+ 0 0) into 0
12.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.129 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
12.130 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
12.130 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
12.130 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
12.131 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
12.132 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
12.132 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1)
12.132 * [backup-simplify]: Simplify (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) into (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
12.132 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (alpha beta i) around 0
12.132 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
12.132 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
12.132 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
12.132 * [taylor]: Taking taylor expansion of alpha in i
12.132 * [backup-simplify]: Simplify alpha into alpha
12.132 * [taylor]: Taking taylor expansion of beta in i
12.132 * [backup-simplify]: Simplify beta into beta
12.132 * [taylor]: Taking taylor expansion of (- beta alpha) in i
12.132 * [taylor]: Taking taylor expansion of beta in i
12.132 * [backup-simplify]: Simplify beta into beta
12.132 * [taylor]: Taking taylor expansion of alpha in i
12.132 * [backup-simplify]: Simplify alpha into alpha
12.132 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
12.132 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
12.132 * [taylor]: Taking taylor expansion of alpha in i
12.132 * [backup-simplify]: Simplify alpha into alpha
12.132 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.132 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.132 * [taylor]: Taking taylor expansion of 2.0 in i
12.132 * [backup-simplify]: Simplify 2.0 into 2.0
12.133 * [taylor]: Taking taylor expansion of i in i
12.133 * [backup-simplify]: Simplify 0 into 0
12.133 * [backup-simplify]: Simplify 1 into 1
12.133 * [taylor]: Taking taylor expansion of beta in i
12.133 * [backup-simplify]: Simplify beta into beta
12.133 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
12.133 * [taylor]: Taking taylor expansion of alpha in i
12.133 * [backup-simplify]: Simplify alpha into alpha
12.133 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
12.133 * [taylor]: Taking taylor expansion of 2.0 in i
12.133 * [backup-simplify]: Simplify 2.0 into 2.0
12.133 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.133 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.133 * [taylor]: Taking taylor expansion of 2.0 in i
12.133 * [backup-simplify]: Simplify 2.0 into 2.0
12.133 * [taylor]: Taking taylor expansion of i in i
12.133 * [backup-simplify]: Simplify 0 into 0
12.133 * [backup-simplify]: Simplify 1 into 1
12.133 * [taylor]: Taking taylor expansion of beta in i
12.133 * [backup-simplify]: Simplify beta into beta
12.133 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.133 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.133 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
12.133 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
12.133 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.133 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.133 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.134 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.134 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.134 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
12.134 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
12.134 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
12.134 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
12.134 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.134 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
12.134 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
12.134 * [taylor]: Taking taylor expansion of alpha in beta
12.134 * [backup-simplify]: Simplify alpha into alpha
12.134 * [taylor]: Taking taylor expansion of beta in beta
12.134 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify 1 into 1
12.134 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.134 * [taylor]: Taking taylor expansion of beta in beta
12.134 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify 1 into 1
12.134 * [taylor]: Taking taylor expansion of alpha in beta
12.134 * [backup-simplify]: Simplify alpha into alpha
12.134 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.134 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.134 * [taylor]: Taking taylor expansion of alpha in beta
12.134 * [backup-simplify]: Simplify alpha into alpha
12.134 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.134 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.134 * [taylor]: Taking taylor expansion of 2.0 in beta
12.134 * [backup-simplify]: Simplify 2.0 into 2.0
12.134 * [taylor]: Taking taylor expansion of i in beta
12.134 * [backup-simplify]: Simplify i into i
12.134 * [taylor]: Taking taylor expansion of beta in beta
12.134 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify 1 into 1
12.134 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.134 * [taylor]: Taking taylor expansion of alpha in beta
12.134 * [backup-simplify]: Simplify alpha into alpha
12.134 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.134 * [taylor]: Taking taylor expansion of 2.0 in beta
12.134 * [backup-simplify]: Simplify 2.0 into 2.0
12.134 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.134 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.134 * [taylor]: Taking taylor expansion of 2.0 in beta
12.135 * [backup-simplify]: Simplify 2.0 into 2.0
12.135 * [taylor]: Taking taylor expansion of i in beta
12.135 * [backup-simplify]: Simplify i into i
12.135 * [taylor]: Taking taylor expansion of beta in beta
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 1 into 1
12.135 * [backup-simplify]: Simplify (+ alpha 0) into alpha
12.135 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.135 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.135 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
12.135 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.135 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.135 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.135 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.135 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.135 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.135 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.135 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.135 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
12.135 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.135 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
12.135 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
12.135 * [taylor]: Taking taylor expansion of alpha in alpha
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 1 into 1
12.136 * [taylor]: Taking taylor expansion of beta in alpha
12.136 * [backup-simplify]: Simplify beta into beta
12.136 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
12.136 * [taylor]: Taking taylor expansion of beta in alpha
12.136 * [backup-simplify]: Simplify beta into beta
12.136 * [taylor]: Taking taylor expansion of alpha in alpha
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 1 into 1
12.136 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.136 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.136 * [taylor]: Taking taylor expansion of alpha in alpha
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 1 into 1
12.136 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.136 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.136 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.136 * [backup-simplify]: Simplify 2.0 into 2.0
12.136 * [taylor]: Taking taylor expansion of i in alpha
12.136 * [backup-simplify]: Simplify i into i
12.136 * [taylor]: Taking taylor expansion of beta in alpha
12.136 * [backup-simplify]: Simplify beta into beta
12.136 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.136 * [taylor]: Taking taylor expansion of alpha in alpha
12.136 * [backup-simplify]: Simplify 0 into 0
12.136 * [backup-simplify]: Simplify 1 into 1
12.136 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.136 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.136 * [backup-simplify]: Simplify 2.0 into 2.0
12.136 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.136 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.136 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.136 * [backup-simplify]: Simplify 2.0 into 2.0
12.136 * [taylor]: Taking taylor expansion of i in alpha
12.136 * [backup-simplify]: Simplify i into i
12.136 * [taylor]: Taking taylor expansion of beta in alpha
12.136 * [backup-simplify]: Simplify beta into beta
12.136 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.137 * [backup-simplify]: Simplify (- 0) into 0
12.137 * [backup-simplify]: Simplify (+ beta 0) into beta
12.137 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.137 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.137 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.137 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.137 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.137 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.137 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.137 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.137 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.137 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.138 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.138 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
12.138 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
12.138 * [taylor]: Taking taylor expansion of alpha in alpha
12.138 * [backup-simplify]: Simplify 0 into 0
12.138 * [backup-simplify]: Simplify 1 into 1
12.138 * [taylor]: Taking taylor expansion of beta in alpha
12.138 * [backup-simplify]: Simplify beta into beta
12.138 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
12.138 * [taylor]: Taking taylor expansion of beta in alpha
12.138 * [backup-simplify]: Simplify beta into beta
12.138 * [taylor]: Taking taylor expansion of alpha in alpha
12.138 * [backup-simplify]: Simplify 0 into 0
12.138 * [backup-simplify]: Simplify 1 into 1
12.138 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.138 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.138 * [taylor]: Taking taylor expansion of alpha in alpha
12.138 * [backup-simplify]: Simplify 0 into 0
12.138 * [backup-simplify]: Simplify 1 into 1
12.138 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.138 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.138 * [backup-simplify]: Simplify 2.0 into 2.0
12.138 * [taylor]: Taking taylor expansion of i in alpha
12.138 * [backup-simplify]: Simplify i into i
12.138 * [taylor]: Taking taylor expansion of beta in alpha
12.138 * [backup-simplify]: Simplify beta into beta
12.138 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.138 * [taylor]: Taking taylor expansion of alpha in alpha
12.138 * [backup-simplify]: Simplify 0 into 0
12.138 * [backup-simplify]: Simplify 1 into 1
12.138 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.138 * [backup-simplify]: Simplify 2.0 into 2.0
12.138 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.138 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.138 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.138 * [backup-simplify]: Simplify 2.0 into 2.0
12.138 * [taylor]: Taking taylor expansion of i in alpha
12.138 * [backup-simplify]: Simplify i into i
12.138 * [taylor]: Taking taylor expansion of beta in alpha
12.138 * [backup-simplify]: Simplify beta into beta
12.138 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.139 * [backup-simplify]: Simplify (- 0) into 0
12.139 * [backup-simplify]: Simplify (+ beta 0) into beta
12.139 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.139 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.139 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.139 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.139 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.139 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.139 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.139 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.139 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.139 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.139 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
12.139 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.139 * [taylor]: Taking taylor expansion of beta in beta
12.139 * [backup-simplify]: Simplify 0 into 0
12.139 * [backup-simplify]: Simplify 1 into 1
12.139 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
12.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.140 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.140 * [taylor]: Taking taylor expansion of 2.0 in beta
12.140 * [backup-simplify]: Simplify 2.0 into 2.0
12.140 * [taylor]: Taking taylor expansion of i in beta
12.140 * [backup-simplify]: Simplify i into i
12.140 * [taylor]: Taking taylor expansion of beta in beta
12.140 * [backup-simplify]: Simplify 0 into 0
12.140 * [backup-simplify]: Simplify 1 into 1
12.140 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.140 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.140 * [taylor]: Taking taylor expansion of 2.0 in beta
12.140 * [backup-simplify]: Simplify 2.0 into 2.0
12.140 * [taylor]: Taking taylor expansion of i in beta
12.140 * [backup-simplify]: Simplify i into i
12.140 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.140 * [taylor]: Taking taylor expansion of beta in beta
12.140 * [backup-simplify]: Simplify 0 into 0
12.140 * [backup-simplify]: Simplify 1 into 1
12.140 * [taylor]: Taking taylor expansion of 2.0 in beta
12.140 * [backup-simplify]: Simplify 2.0 into 2.0
12.141 * [backup-simplify]: Simplify (* 1 1) into 1
12.141 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.141 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.141 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.141 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.141 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.141 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
12.142 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
12.142 * [backup-simplify]: Simplify (- 1) into -1
12.142 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.143 * [backup-simplify]: Simplify (+ 1 0) into 1
12.143 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
12.143 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.144 * [backup-simplify]: Simplify (+ 0 0) into 0
12.144 * [backup-simplify]: Simplify (+ 0 0) into 0
12.144 * [backup-simplify]: Simplify (+ 1 0) into 1
12.145 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.145 * [backup-simplify]: Simplify (+ 0 0) into 0
12.145 * [backup-simplify]: Simplify (+ 1 0) into 1
12.146 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
12.147 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
12.147 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
12.148 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
12.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.148 * [taylor]: Taking taylor expansion of 2.0 in beta
12.148 * [backup-simplify]: Simplify 2.0 into 2.0
12.148 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.148 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.148 * [taylor]: Taking taylor expansion of beta in beta
12.148 * [backup-simplify]: Simplify 0 into 0
12.148 * [backup-simplify]: Simplify 1 into 1
12.148 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.148 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.148 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.148 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.148 * [taylor]: Taking taylor expansion of 2.0 in beta
12.148 * [backup-simplify]: Simplify 2.0 into 2.0
12.148 * [taylor]: Taking taylor expansion of i in beta
12.148 * [backup-simplify]: Simplify i into i
12.148 * [taylor]: Taking taylor expansion of beta in beta
12.148 * [backup-simplify]: Simplify 0 into 0
12.148 * [backup-simplify]: Simplify 1 into 1
12.148 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.148 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.148 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.148 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.148 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.148 * [taylor]: Taking taylor expansion of 2.0 in beta
12.148 * [backup-simplify]: Simplify 2.0 into 2.0
12.148 * [taylor]: Taking taylor expansion of i in beta
12.148 * [backup-simplify]: Simplify i into i
12.148 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.148 * [taylor]: Taking taylor expansion of beta in beta
12.148 * [backup-simplify]: Simplify 0 into 0
12.149 * [backup-simplify]: Simplify 1 into 1
12.149 * [taylor]: Taking taylor expansion of 2.0 in beta
12.149 * [backup-simplify]: Simplify 2.0 into 2.0
12.149 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.149 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.149 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.150 * [backup-simplify]: Simplify (* 1 1) into 1
12.150 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.150 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.150 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.151 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.151 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
12.151 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.151 * [taylor]: Taking taylor expansion of 4.0 in beta
12.151 * [backup-simplify]: Simplify 4.0 into 4.0
12.151 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.151 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.151 * [taylor]: Taking taylor expansion of i in beta
12.151 * [backup-simplify]: Simplify i into i
12.151 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.151 * [taylor]: Taking taylor expansion of beta in beta
12.151 * [backup-simplify]: Simplify 0 into 0
12.151 * [backup-simplify]: Simplify 1 into 1
12.151 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.151 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.151 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.151 * [taylor]: Taking taylor expansion of 2.0 in beta
12.151 * [backup-simplify]: Simplify 2.0 into 2.0
12.151 * [taylor]: Taking taylor expansion of i in beta
12.151 * [backup-simplify]: Simplify i into i
12.151 * [taylor]: Taking taylor expansion of beta in beta
12.151 * [backup-simplify]: Simplify 0 into 0
12.151 * [backup-simplify]: Simplify 1 into 1
12.151 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.151 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.151 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.152 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.152 * [taylor]: Taking taylor expansion of 2.0 in beta
12.152 * [backup-simplify]: Simplify 2.0 into 2.0
12.152 * [taylor]: Taking taylor expansion of i in beta
12.152 * [backup-simplify]: Simplify i into i
12.152 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.152 * [taylor]: Taking taylor expansion of beta in beta
12.152 * [backup-simplify]: Simplify 0 into 0
12.152 * [backup-simplify]: Simplify 1 into 1
12.152 * [taylor]: Taking taylor expansion of 2.0 in beta
12.152 * [backup-simplify]: Simplify 2.0 into 2.0
12.152 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.152 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.152 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.153 * [backup-simplify]: Simplify (* 1 1) into 1
12.153 * [backup-simplify]: Simplify (* i 1) into i
12.153 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.153 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.154 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.154 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.154 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.154 * [taylor]: Taking taylor expansion of 2 in beta
12.154 * [backup-simplify]: Simplify 2 into 2
12.154 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.154 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.154 * [taylor]: Taking taylor expansion of beta in beta
12.154 * [backup-simplify]: Simplify 0 into 0
12.154 * [backup-simplify]: Simplify 1 into 1
12.154 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.154 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.154 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.154 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.154 * [taylor]: Taking taylor expansion of 2.0 in beta
12.154 * [backup-simplify]: Simplify 2.0 into 2.0
12.154 * [taylor]: Taking taylor expansion of i in beta
12.154 * [backup-simplify]: Simplify i into i
12.154 * [taylor]: Taking taylor expansion of beta in beta
12.154 * [backup-simplify]: Simplify 0 into 0
12.154 * [backup-simplify]: Simplify 1 into 1
12.155 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.155 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.155 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.155 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.155 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.155 * [taylor]: Taking taylor expansion of 2.0 in beta
12.155 * [backup-simplify]: Simplify 2.0 into 2.0
12.155 * [taylor]: Taking taylor expansion of i in beta
12.155 * [backup-simplify]: Simplify i into i
12.155 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.155 * [taylor]: Taking taylor expansion of beta in beta
12.155 * [backup-simplify]: Simplify 0 into 0
12.155 * [backup-simplify]: Simplify 1 into 1
12.155 * [taylor]: Taking taylor expansion of 2.0 in beta
12.155 * [backup-simplify]: Simplify 2.0 into 2.0
12.155 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.156 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.156 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.156 * [backup-simplify]: Simplify (* 1 1) into 1
12.156 * [backup-simplify]: Simplify (* 1 1) into 1
12.156 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.157 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.157 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.157 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.158 * [backup-simplify]: Simplify (- 0) into 0
12.158 * [backup-simplify]: Simplify (+ 0 0) into 0
12.158 * [backup-simplify]: Simplify (+ 0 0) into 0
12.159 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
12.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.160 * [backup-simplify]: Simplify (+ 0 0) into 0
12.160 * [backup-simplify]: Simplify (+ 0 0) into 0
12.160 * [backup-simplify]: Simplify (+ 0 0) into 0
12.161 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.161 * [backup-simplify]: Simplify (+ 0 0) into 0
12.161 * [backup-simplify]: Simplify (+ 0 0) into 0
12.162 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
12.166 * [backup-simplify]: Simplify (- (/ (- 1) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
12.166 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
12.166 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
12.166 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.166 * [taylor]: Taking taylor expansion of 8.0 in beta
12.166 * [backup-simplify]: Simplify 8.0 into 8.0
12.166 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.166 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.166 * [taylor]: Taking taylor expansion of beta in beta
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.166 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.166 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.166 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.166 * [taylor]: Taking taylor expansion of 2.0 in beta
12.166 * [backup-simplify]: Simplify 2.0 into 2.0
12.166 * [taylor]: Taking taylor expansion of i in beta
12.166 * [backup-simplify]: Simplify i into i
12.166 * [taylor]: Taking taylor expansion of beta in beta
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.166 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.166 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.166 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.166 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.166 * [taylor]: Taking taylor expansion of 2.0 in beta
12.166 * [backup-simplify]: Simplify 2.0 into 2.0
12.166 * [taylor]: Taking taylor expansion of i in beta
12.166 * [backup-simplify]: Simplify i into i
12.166 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.166 * [taylor]: Taking taylor expansion of beta in beta
12.167 * [backup-simplify]: Simplify 0 into 0
12.167 * [backup-simplify]: Simplify 1 into 1
12.167 * [taylor]: Taking taylor expansion of 2.0 in beta
12.167 * [backup-simplify]: Simplify 2.0 into 2.0
12.167 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.167 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.167 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.167 * [backup-simplify]: Simplify (* 1 1) into 1
12.168 * [backup-simplify]: Simplify (* 1 1) into 1
12.168 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.168 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.168 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.168 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.168 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.168 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.168 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
12.168 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.169 * [taylor]: Taking taylor expansion of 16.0 in beta
12.169 * [backup-simplify]: Simplify 16.0 into 16.0
12.169 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.169 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
12.169 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.169 * [taylor]: Taking taylor expansion of i in beta
12.169 * [backup-simplify]: Simplify i into i
12.169 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.169 * [taylor]: Taking taylor expansion of beta in beta
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.169 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.169 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.169 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.169 * [taylor]: Taking taylor expansion of 2.0 in beta
12.169 * [backup-simplify]: Simplify 2.0 into 2.0
12.169 * [taylor]: Taking taylor expansion of i in beta
12.169 * [backup-simplify]: Simplify i into i
12.169 * [taylor]: Taking taylor expansion of beta in beta
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.169 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.169 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.169 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.169 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.169 * [taylor]: Taking taylor expansion of 2.0 in beta
12.169 * [backup-simplify]: Simplify 2.0 into 2.0
12.169 * [taylor]: Taking taylor expansion of i in beta
12.169 * [backup-simplify]: Simplify i into i
12.169 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.169 * [taylor]: Taking taylor expansion of beta in beta
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [taylor]: Taking taylor expansion of 2.0 in beta
12.169 * [backup-simplify]: Simplify 2.0 into 2.0
12.169 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.169 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.170 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.170 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.170 * [backup-simplify]: Simplify (* 1 1) into 1
12.170 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
12.170 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.170 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.170 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.170 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.170 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.171 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
12.171 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
12.171 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.171 * [taylor]: Taking taylor expansion of 4 in beta
12.171 * [backup-simplify]: Simplify 4 into 4
12.171 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.171 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
12.171 * [taylor]: Taking taylor expansion of beta in beta
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [backup-simplify]: Simplify 1 into 1
12.171 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.171 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.171 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.171 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.171 * [taylor]: Taking taylor expansion of 2.0 in beta
12.171 * [backup-simplify]: Simplify 2.0 into 2.0
12.171 * [taylor]: Taking taylor expansion of i in beta
12.171 * [backup-simplify]: Simplify i into i
12.171 * [taylor]: Taking taylor expansion of beta in beta
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [backup-simplify]: Simplify 1 into 1
12.171 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.171 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.171 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.171 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.171 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.171 * [taylor]: Taking taylor expansion of 2.0 in beta
12.171 * [backup-simplify]: Simplify 2.0 into 2.0
12.171 * [taylor]: Taking taylor expansion of i in beta
12.171 * [backup-simplify]: Simplify i into i
12.171 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.171 * [taylor]: Taking taylor expansion of beta in beta
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [backup-simplify]: Simplify 1 into 1
12.171 * [taylor]: Taking taylor expansion of 2.0 in beta
12.171 * [backup-simplify]: Simplify 2.0 into 2.0
12.171 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.172 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.172 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.172 * [backup-simplify]: Simplify (* 1 1) into 1
12.172 * [backup-simplify]: Simplify (* 1 1) into 1
12.172 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.172 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.173 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.173 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.173 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.173 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.173 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
12.173 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.173 * [taylor]: Taking taylor expansion of 16.0 in beta
12.173 * [backup-simplify]: Simplify 16.0 into 16.0
12.173 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.173 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
12.173 * [taylor]: Taking taylor expansion of i in beta
12.173 * [backup-simplify]: Simplify i into i
12.173 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.173 * [taylor]: Taking taylor expansion of beta in beta
12.173 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify 1 into 1
12.173 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.173 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.173 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.173 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.173 * [taylor]: Taking taylor expansion of 2.0 in beta
12.173 * [backup-simplify]: Simplify 2.0 into 2.0
12.173 * [taylor]: Taking taylor expansion of i in beta
12.173 * [backup-simplify]: Simplify i into i
12.173 * [taylor]: Taking taylor expansion of beta in beta
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify 1 into 1
12.174 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.174 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.174 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.174 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.174 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.174 * [taylor]: Taking taylor expansion of 2.0 in beta
12.174 * [backup-simplify]: Simplify 2.0 into 2.0
12.174 * [taylor]: Taking taylor expansion of i in beta
12.174 * [backup-simplify]: Simplify i into i
12.174 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.174 * [taylor]: Taking taylor expansion of beta in beta
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify 1 into 1
12.174 * [taylor]: Taking taylor expansion of 2.0 in beta
12.174 * [backup-simplify]: Simplify 2.0 into 2.0
12.174 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.174 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.174 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.174 * [backup-simplify]: Simplify (* 1 1) into 1
12.175 * [backup-simplify]: Simplify (* 1 1) into 1
12.175 * [backup-simplify]: Simplify (* i 1) into i
12.175 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.175 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.175 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.175 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.175 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.175 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.176 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
12.176 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.176 * [taylor]: Taking taylor expansion of 16.0 in beta
12.176 * [backup-simplify]: Simplify 16.0 into 16.0
12.176 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.176 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.176 * [taylor]: Taking taylor expansion of i in beta
12.176 * [backup-simplify]: Simplify i into i
12.176 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.176 * [taylor]: Taking taylor expansion of beta in beta
12.176 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify 1 into 1
12.176 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.176 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.176 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.176 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.176 * [taylor]: Taking taylor expansion of 2.0 in beta
12.176 * [backup-simplify]: Simplify 2.0 into 2.0
12.176 * [taylor]: Taking taylor expansion of i in beta
12.176 * [backup-simplify]: Simplify i into i
12.176 * [taylor]: Taking taylor expansion of beta in beta
12.176 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify 1 into 1
12.176 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.176 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.176 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.176 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.176 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.176 * [taylor]: Taking taylor expansion of 2.0 in beta
12.176 * [backup-simplify]: Simplify 2.0 into 2.0
12.176 * [taylor]: Taking taylor expansion of i in beta
12.176 * [backup-simplify]: Simplify i into i
12.176 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.176 * [taylor]: Taking taylor expansion of beta in beta
12.176 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify 1 into 1
12.176 * [taylor]: Taking taylor expansion of 2.0 in beta
12.176 * [backup-simplify]: Simplify 2.0 into 2.0
12.176 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.177 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.177 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.177 * [backup-simplify]: Simplify (* 1 1) into 1
12.177 * [backup-simplify]: Simplify (* i 1) into i
12.177 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.177 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.177 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.177 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.177 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.178 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.178 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.178 * [taylor]: Taking taylor expansion of 4.0 in beta
12.178 * [backup-simplify]: Simplify 4.0 into 4.0
12.178 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.178 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.178 * [taylor]: Taking taylor expansion of beta in beta
12.178 * [backup-simplify]: Simplify 0 into 0
12.178 * [backup-simplify]: Simplify 1 into 1
12.178 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.178 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.178 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.178 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.178 * [taylor]: Taking taylor expansion of 2.0 in beta
12.178 * [backup-simplify]: Simplify 2.0 into 2.0
12.178 * [taylor]: Taking taylor expansion of i in beta
12.178 * [backup-simplify]: Simplify i into i
12.178 * [taylor]: Taking taylor expansion of beta in beta
12.178 * [backup-simplify]: Simplify 0 into 0
12.178 * [backup-simplify]: Simplify 1 into 1
12.178 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.178 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.178 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.178 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.178 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.178 * [taylor]: Taking taylor expansion of 2.0 in beta
12.178 * [backup-simplify]: Simplify 2.0 into 2.0
12.178 * [taylor]: Taking taylor expansion of i in beta
12.178 * [backup-simplify]: Simplify i into i
12.178 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.178 * [taylor]: Taking taylor expansion of beta in beta
12.178 * [backup-simplify]: Simplify 0 into 0
12.178 * [backup-simplify]: Simplify 1 into 1
12.178 * [taylor]: Taking taylor expansion of 2.0 in beta
12.178 * [backup-simplify]: Simplify 2.0 into 2.0
12.178 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.179 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.179 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.179 * [backup-simplify]: Simplify (* 1 1) into 1
12.179 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.179 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.179 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.179 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.180 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.180 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.180 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
12.180 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
12.180 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.180 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.180 * [taylor]: Taking taylor expansion of 2.0 in beta
12.180 * [backup-simplify]: Simplify 2.0 into 2.0
12.180 * [taylor]: Taking taylor expansion of i in beta
12.180 * [backup-simplify]: Simplify i into i
12.180 * [taylor]: Taking taylor expansion of beta in beta
12.180 * [backup-simplify]: Simplify 0 into 0
12.180 * [backup-simplify]: Simplify 1 into 1
12.180 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.180 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.180 * [taylor]: Taking taylor expansion of 2.0 in beta
12.180 * [backup-simplify]: Simplify 2.0 into 2.0
12.180 * [taylor]: Taking taylor expansion of i in beta
12.180 * [backup-simplify]: Simplify i into i
12.180 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.180 * [taylor]: Taking taylor expansion of beta in beta
12.180 * [backup-simplify]: Simplify 0 into 0
12.180 * [backup-simplify]: Simplify 1 into 1
12.180 * [taylor]: Taking taylor expansion of 2.0 in beta
12.180 * [backup-simplify]: Simplify 2.0 into 2.0
12.180 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.180 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.180 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.181 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.181 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.181 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
12.181 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
12.181 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.181 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.181 * [taylor]: Taking taylor expansion of beta in beta
12.181 * [backup-simplify]: Simplify 0 into 0
12.181 * [backup-simplify]: Simplify 1 into 1
12.181 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.181 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.181 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.181 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.181 * [taylor]: Taking taylor expansion of 2.0 in beta
12.181 * [backup-simplify]: Simplify 2.0 into 2.0
12.181 * [taylor]: Taking taylor expansion of i in beta
12.181 * [backup-simplify]: Simplify i into i
12.181 * [taylor]: Taking taylor expansion of beta in beta
12.181 * [backup-simplify]: Simplify 0 into 0
12.181 * [backup-simplify]: Simplify 1 into 1
12.181 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.181 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.181 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.181 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.181 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.181 * [taylor]: Taking taylor expansion of 2.0 in beta
12.181 * [backup-simplify]: Simplify 2.0 into 2.0
12.181 * [taylor]: Taking taylor expansion of i in beta
12.181 * [backup-simplify]: Simplify i into i
12.181 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.181 * [taylor]: Taking taylor expansion of beta in beta
12.181 * [backup-simplify]: Simplify 0 into 0
12.181 * [backup-simplify]: Simplify 1 into 1
12.181 * [taylor]: Taking taylor expansion of 2.0 in beta
12.181 * [backup-simplify]: Simplify 2.0 into 2.0
12.181 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.182 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.182 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.182 * [backup-simplify]: Simplify (* 1 1) into 1
12.182 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.182 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.182 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.183 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.183 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
12.183 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
12.183 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
12.183 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
12.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
12.183 * [taylor]: Taking taylor expansion of 0.5 in i
12.183 * [backup-simplify]: Simplify 0.5 into 0.5
12.183 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
12.183 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
12.183 * [taylor]: Taking taylor expansion of i in i
12.183 * [backup-simplify]: Simplify 0 into 0
12.183 * [backup-simplify]: Simplify 1 into 1
12.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.183 * [taylor]: Taking taylor expansion of 2.0 in i
12.183 * [backup-simplify]: Simplify 2.0 into 2.0
12.183 * [taylor]: Taking taylor expansion of i in i
12.183 * [backup-simplify]: Simplify 0 into 0
12.183 * [backup-simplify]: Simplify 1 into 1
12.183 * [taylor]: Taking taylor expansion of 2.0 in i
12.183 * [backup-simplify]: Simplify 2.0 into 2.0
12.184 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.184 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.184 * [backup-simplify]: Simplify (* 0 2.0) into 0
12.185 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.185 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.186 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
12.186 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
12.187 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.187 * [backup-simplify]: Simplify (+ 0 0) into 0
12.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
12.190 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
12.191 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
12.192 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
12.192 * [backup-simplify]: Simplify 0.25 into 0.25
12.192 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
12.192 * [taylor]: Taking taylor expansion of 0.5 in i
12.192 * [backup-simplify]: Simplify 0.5 into 0.5
12.192 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
12.192 * [taylor]: Taking taylor expansion of i in i
12.192 * [backup-simplify]: Simplify 0 into 0
12.192 * [backup-simplify]: Simplify 1 into 1
12.192 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.192 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.192 * [taylor]: Taking taylor expansion of 2.0 in i
12.192 * [backup-simplify]: Simplify 2.0 into 2.0
12.192 * [taylor]: Taking taylor expansion of i in i
12.192 * [backup-simplify]: Simplify 0 into 0
12.192 * [backup-simplify]: Simplify 1 into 1
12.192 * [taylor]: Taking taylor expansion of 2.0 in i
12.192 * [backup-simplify]: Simplify 2.0 into 2.0
12.192 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.193 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.193 * [backup-simplify]: Simplify (* 0 2.0) into 0
12.195 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.195 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.197 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
12.197 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
12.198 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.199 * [backup-simplify]: Simplify (+ 0 0) into 0
12.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
12.204 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
12.205 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
12.205 * [backup-simplify]: Simplify (- 0) into 0
12.205 * [backup-simplify]: Simplify (+ 0 0) into 0
12.206 * [backup-simplify]: Simplify (+ 0 0) into 0
12.207 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
12.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
12.208 * [backup-simplify]: Simplify (+ 0 0) into 0
12.209 * [backup-simplify]: Simplify (+ 0 0) into 0
12.209 * [backup-simplify]: Simplify (+ 0 0) into 0
12.210 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
12.211 * [backup-simplify]: Simplify (+ 0 0) into 0
12.211 * [backup-simplify]: Simplify (+ 0 0) into 0
12.219 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
12.240 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))))
12.240 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))))) in beta
12.240 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
12.240 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.240 * [taylor]: Taking taylor expansion of 4 in beta
12.240 * [backup-simplify]: Simplify 4 into 4
12.240 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.240 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.241 * [taylor]: Taking taylor expansion of beta in beta
12.241 * [backup-simplify]: Simplify 0 into 0
12.241 * [backup-simplify]: Simplify 1 into 1
12.241 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.241 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.241 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.241 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.241 * [taylor]: Taking taylor expansion of 2.0 in beta
12.241 * [backup-simplify]: Simplify 2.0 into 2.0
12.241 * [taylor]: Taking taylor expansion of i in beta
12.241 * [backup-simplify]: Simplify i into i
12.241 * [taylor]: Taking taylor expansion of beta in beta
12.241 * [backup-simplify]: Simplify 0 into 0
12.241 * [backup-simplify]: Simplify 1 into 1
12.241 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.241 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.241 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.241 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.241 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.241 * [taylor]: Taking taylor expansion of 2.0 in beta
12.241 * [backup-simplify]: Simplify 2.0 into 2.0
12.241 * [taylor]: Taking taylor expansion of i in beta
12.241 * [backup-simplify]: Simplify i into i
12.241 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.241 * [taylor]: Taking taylor expansion of beta in beta
12.241 * [backup-simplify]: Simplify 0 into 0
12.241 * [backup-simplify]: Simplify 1 into 1
12.241 * [taylor]: Taking taylor expansion of 2.0 in beta
12.241 * [backup-simplify]: Simplify 2.0 into 2.0
12.242 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.242 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.242 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.243 * [backup-simplify]: Simplify (* 1 1) into 1
12.243 * [backup-simplify]: Simplify (* 1 1) into 1
12.243 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.244 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.244 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.244 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.244 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.245 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.245 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
12.245 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
12.245 * [taylor]: Taking taylor expansion of 4.0 in beta
12.245 * [backup-simplify]: Simplify 4.0 into 4.0
12.245 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
12.245 * [taylor]: Taking taylor expansion of i in beta
12.245 * [backup-simplify]: Simplify i into i
12.245 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
12.245 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.245 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.245 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.245 * [taylor]: Taking taylor expansion of 2.0 in beta
12.245 * [backup-simplify]: Simplify 2.0 into 2.0
12.245 * [taylor]: Taking taylor expansion of i in beta
12.245 * [backup-simplify]: Simplify i into i
12.245 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.245 * [taylor]: Taking taylor expansion of beta in beta
12.245 * [backup-simplify]: Simplify 0 into 0
12.245 * [backup-simplify]: Simplify 1 into 1
12.245 * [taylor]: Taking taylor expansion of 2.0 in beta
12.245 * [backup-simplify]: Simplify 2.0 into 2.0
12.246 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.246 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.246 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.246 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.246 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.246 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.246 * [taylor]: Taking taylor expansion of 2.0 in beta
12.246 * [backup-simplify]: Simplify 2.0 into 2.0
12.246 * [taylor]: Taking taylor expansion of i in beta
12.246 * [backup-simplify]: Simplify i into i
12.246 * [taylor]: Taking taylor expansion of beta in beta
12.246 * [backup-simplify]: Simplify 0 into 0
12.246 * [backup-simplify]: Simplify 1 into 1
12.247 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.247 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.247 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.247 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.247 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
12.248 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.248 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
12.248 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.248 * [taylor]: Taking taylor expansion of 8.0 in beta
12.248 * [backup-simplify]: Simplify 8.0 into 8.0
12.248 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.248 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.248 * [taylor]: Taking taylor expansion of i in beta
12.248 * [backup-simplify]: Simplify i into i
12.248 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.248 * [taylor]: Taking taylor expansion of beta in beta
12.248 * [backup-simplify]: Simplify 0 into 0
12.248 * [backup-simplify]: Simplify 1 into 1
12.248 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.248 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.248 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.248 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.248 * [taylor]: Taking taylor expansion of 2.0 in beta
12.248 * [backup-simplify]: Simplify 2.0 into 2.0
12.248 * [taylor]: Taking taylor expansion of i in beta
12.248 * [backup-simplify]: Simplify i into i
12.248 * [taylor]: Taking taylor expansion of beta in beta
12.248 * [backup-simplify]: Simplify 0 into 0
12.248 * [backup-simplify]: Simplify 1 into 1
12.248 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.249 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.249 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.249 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.249 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.249 * [taylor]: Taking taylor expansion of 2.0 in beta
12.249 * [backup-simplify]: Simplify 2.0 into 2.0
12.249 * [taylor]: Taking taylor expansion of i in beta
12.249 * [backup-simplify]: Simplify i into i
12.249 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.249 * [taylor]: Taking taylor expansion of beta in beta
12.249 * [backup-simplify]: Simplify 0 into 0
12.249 * [backup-simplify]: Simplify 1 into 1
12.249 * [taylor]: Taking taylor expansion of 2.0 in beta
12.249 * [backup-simplify]: Simplify 2.0 into 2.0
12.249 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.250 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.250 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.250 * [backup-simplify]: Simplify (* 1 1) into 1
12.250 * [backup-simplify]: Simplify (* i 1) into i
12.250 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.250 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.251 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.251 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.251 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.252 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.252 * [taylor]: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
12.252 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.252 * [taylor]: Taking taylor expansion of 2 in beta
12.252 * [backup-simplify]: Simplify 2 into 2
12.252 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.252 * [taylor]: Taking taylor expansion of beta in beta
12.252 * [backup-simplify]: Simplify 0 into 0
12.252 * [backup-simplify]: Simplify 1 into 1
12.252 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.252 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.252 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.252 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.252 * [taylor]: Taking taylor expansion of 2.0 in beta
12.252 * [backup-simplify]: Simplify 2.0 into 2.0
12.252 * [taylor]: Taking taylor expansion of i in beta
12.252 * [backup-simplify]: Simplify i into i
12.252 * [taylor]: Taking taylor expansion of beta in beta
12.252 * [backup-simplify]: Simplify 0 into 0
12.252 * [backup-simplify]: Simplify 1 into 1
12.252 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.252 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.252 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.252 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.253 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.253 * [taylor]: Taking taylor expansion of 2.0 in beta
12.253 * [backup-simplify]: Simplify 2.0 into 2.0
12.253 * [taylor]: Taking taylor expansion of i in beta
12.253 * [backup-simplify]: Simplify i into i
12.253 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.253 * [taylor]: Taking taylor expansion of beta in beta
12.253 * [backup-simplify]: Simplify 0 into 0
12.253 * [backup-simplify]: Simplify 1 into 1
12.253 * [taylor]: Taking taylor expansion of 2.0 in beta
12.253 * [backup-simplify]: Simplify 2.0 into 2.0
12.253 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.253 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.254 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.254 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.254 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.254 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.255 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.255 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
12.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.255 * [taylor]: Taking taylor expansion of 2.0 in beta
12.255 * [backup-simplify]: Simplify 2.0 into 2.0
12.255 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.255 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.255 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.255 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.255 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.255 * [taylor]: Taking taylor expansion of 2.0 in beta
12.255 * [backup-simplify]: Simplify 2.0 into 2.0
12.255 * [taylor]: Taking taylor expansion of i in beta
12.255 * [backup-simplify]: Simplify i into i
12.255 * [taylor]: Taking taylor expansion of beta in beta
12.255 * [backup-simplify]: Simplify 0 into 0
12.255 * [backup-simplify]: Simplify 1 into 1
12.255 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.255 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.255 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.255 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.255 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.255 * [taylor]: Taking taylor expansion of 2.0 in beta
12.255 * [backup-simplify]: Simplify 2.0 into 2.0
12.256 * [taylor]: Taking taylor expansion of i in beta
12.256 * [backup-simplify]: Simplify i into i
12.256 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.256 * [taylor]: Taking taylor expansion of beta in beta
12.256 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify 1 into 1
12.256 * [taylor]: Taking taylor expansion of 2.0 in beta
12.256 * [backup-simplify]: Simplify 2.0 into 2.0
12.256 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.256 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.257 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.257 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.257 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.257 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.258 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.258 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.258 * [taylor]: Taking taylor expansion of 4.0 in beta
12.258 * [backup-simplify]: Simplify 4.0 into 4.0
12.258 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.258 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.258 * [taylor]: Taking taylor expansion of beta in beta
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 1 into 1
12.258 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.258 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.258 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.258 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.258 * [taylor]: Taking taylor expansion of 2.0 in beta
12.258 * [backup-simplify]: Simplify 2.0 into 2.0
12.258 * [taylor]: Taking taylor expansion of i in beta
12.258 * [backup-simplify]: Simplify i into i
12.258 * [taylor]: Taking taylor expansion of beta in beta
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 1 into 1
12.258 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.258 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.258 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.258 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.258 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.258 * [taylor]: Taking taylor expansion of 2.0 in beta
12.258 * [backup-simplify]: Simplify 2.0 into 2.0
12.258 * [taylor]: Taking taylor expansion of i in beta
12.259 * [backup-simplify]: Simplify i into i
12.259 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.259 * [taylor]: Taking taylor expansion of beta in beta
12.259 * [backup-simplify]: Simplify 0 into 0
12.259 * [backup-simplify]: Simplify 1 into 1
12.259 * [taylor]: Taking taylor expansion of 2.0 in beta
12.259 * [backup-simplify]: Simplify 2.0 into 2.0
12.259 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.259 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.259 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.260 * [backup-simplify]: Simplify (* 1 1) into 1
12.260 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.260 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.260 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.260 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.261 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.261 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.261 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))) in beta
12.261 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.261 * [taylor]: Taking taylor expansion of 48.0 in beta
12.261 * [backup-simplify]: Simplify 48.0 into 48.0
12.261 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.261 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
12.261 * [taylor]: Taking taylor expansion of i in beta
12.261 * [backup-simplify]: Simplify i into i
12.261 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
12.261 * [taylor]: Taking taylor expansion of beta in beta
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 1 into 1
12.261 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.261 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.261 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.261 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.261 * [taylor]: Taking taylor expansion of 2.0 in beta
12.261 * [backup-simplify]: Simplify 2.0 into 2.0
12.261 * [taylor]: Taking taylor expansion of i in beta
12.261 * [backup-simplify]: Simplify i into i
12.261 * [taylor]: Taking taylor expansion of beta in beta
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 1 into 1
12.261 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.261 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.261 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.261 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.261 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.261 * [taylor]: Taking taylor expansion of 2.0 in beta
12.261 * [backup-simplify]: Simplify 2.0 into 2.0
12.261 * [taylor]: Taking taylor expansion of i in beta
12.261 * [backup-simplify]: Simplify i into i
12.261 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.261 * [taylor]: Taking taylor expansion of beta in beta
12.261 * [backup-simplify]: Simplify 0 into 0
12.262 * [backup-simplify]: Simplify 1 into 1
12.262 * [taylor]: Taking taylor expansion of 2.0 in beta
12.262 * [backup-simplify]: Simplify 2.0 into 2.0
12.262 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.262 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.262 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.262 * [backup-simplify]: Simplify (* 1 1) into 1
12.262 * [backup-simplify]: Simplify (* 1 1) into 1
12.262 * [backup-simplify]: Simplify (* i 1) into i
12.262 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.263 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.263 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.263 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.263 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.263 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
12.263 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))) in beta
12.263 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.263 * [taylor]: Taking taylor expansion of 24.0 in beta
12.263 * [backup-simplify]: Simplify 24.0 into 24.0
12.263 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.264 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.264 * [taylor]: Taking taylor expansion of beta in beta
12.264 * [backup-simplify]: Simplify 0 into 0
12.264 * [backup-simplify]: Simplify 1 into 1
12.264 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.264 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.264 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.264 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.264 * [taylor]: Taking taylor expansion of 2.0 in beta
12.264 * [backup-simplify]: Simplify 2.0 into 2.0
12.264 * [taylor]: Taking taylor expansion of i in beta
12.264 * [backup-simplify]: Simplify i into i
12.264 * [taylor]: Taking taylor expansion of beta in beta
12.264 * [backup-simplify]: Simplify 0 into 0
12.264 * [backup-simplify]: Simplify 1 into 1
12.264 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.264 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.264 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.264 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.264 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.264 * [taylor]: Taking taylor expansion of 2.0 in beta
12.264 * [backup-simplify]: Simplify 2.0 into 2.0
12.264 * [taylor]: Taking taylor expansion of i in beta
12.264 * [backup-simplify]: Simplify i into i
12.264 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.264 * [taylor]: Taking taylor expansion of beta in beta
12.264 * [backup-simplify]: Simplify 0 into 0
12.264 * [backup-simplify]: Simplify 1 into 1
12.264 * [taylor]: Taking taylor expansion of 2.0 in beta
12.264 * [backup-simplify]: Simplify 2.0 into 2.0
12.264 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.264 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.264 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.265 * [backup-simplify]: Simplify (* 1 1) into 1
12.265 * [backup-simplify]: Simplify (* 1 1) into 1
12.265 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.265 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.265 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.265 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.266 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.266 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.266 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))) in beta
12.266 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.266 * [taylor]: Taking taylor expansion of 96.0 in beta
12.266 * [backup-simplify]: Simplify 96.0 into 96.0
12.266 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.266 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
12.266 * [taylor]: Taking taylor expansion of i in beta
12.266 * [backup-simplify]: Simplify i into i
12.266 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.266 * [taylor]: Taking taylor expansion of beta in beta
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 1 into 1
12.266 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.266 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.266 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.266 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.266 * [taylor]: Taking taylor expansion of 2.0 in beta
12.266 * [backup-simplify]: Simplify 2.0 into 2.0
12.266 * [taylor]: Taking taylor expansion of i in beta
12.266 * [backup-simplify]: Simplify i into i
12.266 * [taylor]: Taking taylor expansion of beta in beta
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 1 into 1
12.266 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.266 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.266 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.266 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.266 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.266 * [taylor]: Taking taylor expansion of 2.0 in beta
12.266 * [backup-simplify]: Simplify 2.0 into 2.0
12.266 * [taylor]: Taking taylor expansion of i in beta
12.267 * [backup-simplify]: Simplify i into i
12.267 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.267 * [taylor]: Taking taylor expansion of beta in beta
12.267 * [backup-simplify]: Simplify 0 into 0
12.267 * [backup-simplify]: Simplify 1 into 1
12.267 * [taylor]: Taking taylor expansion of 2.0 in beta
12.267 * [backup-simplify]: Simplify 2.0 into 2.0
12.267 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.267 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.267 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.267 * [backup-simplify]: Simplify (* 1 1) into 1
12.268 * [backup-simplify]: Simplify (* 1 1) into 1
12.268 * [backup-simplify]: Simplify (* i 1) into i
12.268 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.268 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.268 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.268 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.268 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.268 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
12.269 * [taylor]: Taking taylor expansion of (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))) in beta
12.269 * [taylor]: Taking taylor expansion of (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.269 * [taylor]: Taking taylor expansion of 8 in beta
12.269 * [backup-simplify]: Simplify 8 into 8
12.269 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.269 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
12.269 * [taylor]: Taking taylor expansion of beta in beta
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify 1 into 1
12.269 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.269 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.269 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.269 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.269 * [taylor]: Taking taylor expansion of 2.0 in beta
12.269 * [backup-simplify]: Simplify 2.0 into 2.0
12.269 * [taylor]: Taking taylor expansion of i in beta
12.269 * [backup-simplify]: Simplify i into i
12.269 * [taylor]: Taking taylor expansion of beta in beta
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify 1 into 1
12.269 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.269 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.269 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.269 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.269 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.269 * [taylor]: Taking taylor expansion of 2.0 in beta
12.269 * [backup-simplify]: Simplify 2.0 into 2.0
12.269 * [taylor]: Taking taylor expansion of i in beta
12.269 * [backup-simplify]: Simplify i into i
12.269 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.269 * [taylor]: Taking taylor expansion of beta in beta
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify 1 into 1
12.269 * [taylor]: Taking taylor expansion of 2.0 in beta
12.269 * [backup-simplify]: Simplify 2.0 into 2.0
12.269 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.270 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.270 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.270 * [backup-simplify]: Simplify (* 1 1) into 1
12.270 * [backup-simplify]: Simplify (* 1 1) into 1
12.271 * [backup-simplify]: Simplify (* 1 1) into 1
12.271 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.271 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.271 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.271 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.272 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.272 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.272 * [taylor]: Taking taylor expansion of (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))) in beta
12.272 * [taylor]: Taking taylor expansion of (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.272 * [taylor]: Taking taylor expansion of 64.0 in beta
12.272 * [backup-simplify]: Simplify 64.0 into 64.0
12.272 * [taylor]: Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.272 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
12.272 * [taylor]: Taking taylor expansion of (pow i 3) in beta
12.272 * [taylor]: Taking taylor expansion of i in beta
12.272 * [backup-simplify]: Simplify i into i
12.272 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.272 * [taylor]: Taking taylor expansion of beta in beta
12.272 * [backup-simplify]: Simplify 0 into 0
12.272 * [backup-simplify]: Simplify 1 into 1
12.272 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.272 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.272 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.272 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.272 * [taylor]: Taking taylor expansion of 2.0 in beta
12.272 * [backup-simplify]: Simplify 2.0 into 2.0
12.272 * [taylor]: Taking taylor expansion of i in beta
12.272 * [backup-simplify]: Simplify i into i
12.272 * [taylor]: Taking taylor expansion of beta in beta
12.272 * [backup-simplify]: Simplify 0 into 0
12.272 * [backup-simplify]: Simplify 1 into 1
12.272 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.272 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.272 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.273 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.273 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.273 * [taylor]: Taking taylor expansion of 2.0 in beta
12.273 * [backup-simplify]: Simplify 2.0 into 2.0
12.273 * [taylor]: Taking taylor expansion of i in beta
12.273 * [backup-simplify]: Simplify i into i
12.273 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.273 * [taylor]: Taking taylor expansion of beta in beta
12.273 * [backup-simplify]: Simplify 0 into 0
12.273 * [backup-simplify]: Simplify 1 into 1
12.273 * [taylor]: Taking taylor expansion of 2.0 in beta
12.273 * [backup-simplify]: Simplify 2.0 into 2.0
12.273 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.273 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.273 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.273 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.273 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
12.273 * [backup-simplify]: Simplify (* 1 1) into 1
12.274 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
12.274 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.274 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.274 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.274 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.274 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.274 * [backup-simplify]: Simplify (/ (pow i 3) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* i (pow (+ (* 2.0 i) 2.0) 4)))
12.274 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))) in beta
12.275 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.275 * [taylor]: Taking taylor expansion of 96.0 in beta
12.275 * [backup-simplify]: Simplify 96.0 into 96.0
12.275 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.275 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
12.275 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.275 * [taylor]: Taking taylor expansion of i in beta
12.275 * [backup-simplify]: Simplify i into i
12.275 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.275 * [taylor]: Taking taylor expansion of beta in beta
12.275 * [backup-simplify]: Simplify 0 into 0
12.275 * [backup-simplify]: Simplify 1 into 1
12.275 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.275 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.275 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.275 * [taylor]: Taking taylor expansion of 2.0 in beta
12.275 * [backup-simplify]: Simplify 2.0 into 2.0
12.275 * [taylor]: Taking taylor expansion of i in beta
12.275 * [backup-simplify]: Simplify i into i
12.275 * [taylor]: Taking taylor expansion of beta in beta
12.275 * [backup-simplify]: Simplify 0 into 0
12.275 * [backup-simplify]: Simplify 1 into 1
12.275 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.275 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.275 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.275 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.275 * [taylor]: Taking taylor expansion of 2.0 in beta
12.275 * [backup-simplify]: Simplify 2.0 into 2.0
12.275 * [taylor]: Taking taylor expansion of i in beta
12.275 * [backup-simplify]: Simplify i into i
12.275 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.275 * [taylor]: Taking taylor expansion of beta in beta
12.275 * [backup-simplify]: Simplify 0 into 0
12.275 * [backup-simplify]: Simplify 1 into 1
12.275 * [taylor]: Taking taylor expansion of 2.0 in beta
12.275 * [backup-simplify]: Simplify 2.0 into 2.0
12.275 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.276 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.276 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.276 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.276 * [backup-simplify]: Simplify (* 1 1) into 1
12.276 * [backup-simplify]: Simplify (* 1 1) into 1
12.276 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
12.276 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.276 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.277 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.277 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.277 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.277 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
12.277 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))) in beta
12.277 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.277 * [taylor]: Taking taylor expansion of 24.0 in beta
12.277 * [backup-simplify]: Simplify 24.0 into 24.0
12.277 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.277 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
12.277 * [taylor]: Taking taylor expansion of beta in beta
12.277 * [backup-simplify]: Simplify 0 into 0
12.277 * [backup-simplify]: Simplify 1 into 1
12.277 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.277 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.277 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.277 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.277 * [taylor]: Taking taylor expansion of 2.0 in beta
12.277 * [backup-simplify]: Simplify 2.0 into 2.0
12.278 * [taylor]: Taking taylor expansion of i in beta
12.278 * [backup-simplify]: Simplify i into i
12.278 * [taylor]: Taking taylor expansion of beta in beta
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify 1 into 1
12.278 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.278 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.278 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.278 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.278 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.278 * [taylor]: Taking taylor expansion of 2.0 in beta
12.278 * [backup-simplify]: Simplify 2.0 into 2.0
12.278 * [taylor]: Taking taylor expansion of i in beta
12.278 * [backup-simplify]: Simplify i into i
12.278 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.278 * [taylor]: Taking taylor expansion of beta in beta
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify 1 into 1
12.278 * [taylor]: Taking taylor expansion of 2.0 in beta
12.278 * [backup-simplify]: Simplify 2.0 into 2.0
12.278 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.278 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.278 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.279 * [backup-simplify]: Simplify (* 1 1) into 1
12.279 * [backup-simplify]: Simplify (* 1 1) into 1
12.279 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.279 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.279 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.279 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.279 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.280 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.280 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))) in beta
12.280 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.280 * [taylor]: Taking taylor expansion of 8.0 in beta
12.280 * [backup-simplify]: Simplify 8.0 into 8.0
12.280 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.280 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.280 * [taylor]: Taking taylor expansion of beta in beta
12.280 * [backup-simplify]: Simplify 0 into 0
12.280 * [backup-simplify]: Simplify 1 into 1
12.280 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.280 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.280 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.280 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.280 * [taylor]: Taking taylor expansion of 2.0 in beta
12.280 * [backup-simplify]: Simplify 2.0 into 2.0
12.280 * [taylor]: Taking taylor expansion of i in beta
12.280 * [backup-simplify]: Simplify i into i
12.280 * [taylor]: Taking taylor expansion of beta in beta
12.280 * [backup-simplify]: Simplify 0 into 0
12.280 * [backup-simplify]: Simplify 1 into 1
12.280 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.280 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.280 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.280 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.280 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.280 * [taylor]: Taking taylor expansion of 2.0 in beta
12.280 * [backup-simplify]: Simplify 2.0 into 2.0
12.280 * [taylor]: Taking taylor expansion of i in beta
12.280 * [backup-simplify]: Simplify i into i
12.280 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.280 * [taylor]: Taking taylor expansion of beta in beta
12.280 * [backup-simplify]: Simplify 0 into 0
12.280 * [backup-simplify]: Simplify 1 into 1
12.280 * [taylor]: Taking taylor expansion of 2.0 in beta
12.281 * [backup-simplify]: Simplify 2.0 into 2.0
12.281 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.281 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.281 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.281 * [backup-simplify]: Simplify (* 1 1) into 1
12.281 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.281 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.282 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.282 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.282 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.282 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.282 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))) in beta
12.282 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.282 * [taylor]: Taking taylor expansion of 48.0 in beta
12.282 * [backup-simplify]: Simplify 48.0 into 48.0
12.282 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.282 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.282 * [taylor]: Taking taylor expansion of i in beta
12.282 * [backup-simplify]: Simplify i into i
12.282 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.282 * [taylor]: Taking taylor expansion of beta in beta
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 1 into 1
12.282 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.282 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.282 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.282 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.282 * [taylor]: Taking taylor expansion of 2.0 in beta
12.282 * [backup-simplify]: Simplify 2.0 into 2.0
12.282 * [taylor]: Taking taylor expansion of i in beta
12.283 * [backup-simplify]: Simplify i into i
12.283 * [taylor]: Taking taylor expansion of beta in beta
12.283 * [backup-simplify]: Simplify 0 into 0
12.283 * [backup-simplify]: Simplify 1 into 1
12.283 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.283 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.283 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.283 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.283 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.283 * [taylor]: Taking taylor expansion of 2.0 in beta
12.283 * [backup-simplify]: Simplify 2.0 into 2.0
12.283 * [taylor]: Taking taylor expansion of i in beta
12.283 * [backup-simplify]: Simplify i into i
12.283 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.283 * [taylor]: Taking taylor expansion of beta in beta
12.283 * [backup-simplify]: Simplify 0 into 0
12.283 * [backup-simplify]: Simplify 1 into 1
12.283 * [taylor]: Taking taylor expansion of 2.0 in beta
12.283 * [backup-simplify]: Simplify 2.0 into 2.0
12.283 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.283 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.283 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.284 * [backup-simplify]: Simplify (* 1 1) into 1
12.284 * [backup-simplify]: Simplify (* i 1) into i
12.284 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.284 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.284 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.284 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.284 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.285 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
12.285 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
12.285 * [taylor]: Taking taylor expansion of 96.0 in beta
12.285 * [backup-simplify]: Simplify 96.0 into 96.0
12.285 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
12.285 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
12.285 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.285 * [taylor]: Taking taylor expansion of i in beta
12.285 * [backup-simplify]: Simplify i into i
12.285 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.285 * [taylor]: Taking taylor expansion of beta in beta
12.285 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify 1 into 1
12.285 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
12.285 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
12.285 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.285 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.285 * [taylor]: Taking taylor expansion of 2.0 in beta
12.285 * [backup-simplify]: Simplify 2.0 into 2.0
12.285 * [taylor]: Taking taylor expansion of i in beta
12.285 * [backup-simplify]: Simplify i into i
12.285 * [taylor]: Taking taylor expansion of beta in beta
12.285 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify 1 into 1
12.285 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.285 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.285 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
12.285 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.285 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.285 * [taylor]: Taking taylor expansion of 2.0 in beta
12.285 * [backup-simplify]: Simplify 2.0 into 2.0
12.285 * [taylor]: Taking taylor expansion of i in beta
12.285 * [backup-simplify]: Simplify i into i
12.285 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.285 * [taylor]: Taking taylor expansion of beta in beta
12.285 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify 1 into 1
12.285 * [taylor]: Taking taylor expansion of 2.0 in beta
12.285 * [backup-simplify]: Simplify 2.0 into 2.0
12.286 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.286 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.286 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.286 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.286 * [backup-simplify]: Simplify (* 1 1) into 1
12.286 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
12.286 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.286 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
12.287 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.287 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
12.287 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
12.287 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
12.287 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.288 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.288 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) 0) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
12.288 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
12.289 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
12.289 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
12.290 * [backup-simplify]: Simplify (+ 0 (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
12.290 * [backup-simplify]: Simplify (+ (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) 0) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
12.290 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) in i
12.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
12.290 * [taylor]: Taking taylor expansion of 0.5 in i
12.290 * [backup-simplify]: Simplify 0.5 into 0.5
12.290 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
12.291 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
12.291 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.291 * [taylor]: Taking taylor expansion of i in i
12.291 * [backup-simplify]: Simplify 0 into 0
12.291 * [backup-simplify]: Simplify 1 into 1
12.291 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
12.291 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.291 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.291 * [taylor]: Taking taylor expansion of 2.0 in i
12.291 * [backup-simplify]: Simplify 2.0 into 2.0
12.291 * [taylor]: Taking taylor expansion of i in i
12.291 * [backup-simplify]: Simplify 0 into 0
12.291 * [backup-simplify]: Simplify 1 into 1
12.291 * [taylor]: Taking taylor expansion of 2.0 in i
12.291 * [backup-simplify]: Simplify 2.0 into 2.0
12.291 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.291 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.292 * [backup-simplify]: Simplify (* 1 1) into 1
12.292 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.292 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
12.293 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
12.293 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
12.293 * [taylor]: Taking taylor expansion of 1.0 in i
12.293 * [backup-simplify]: Simplify 1.0 into 1.0
12.293 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
12.293 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
12.293 * [taylor]: Taking taylor expansion of i in i
12.293 * [backup-simplify]: Simplify 0 into 0
12.293 * [backup-simplify]: Simplify 1 into 1
12.293 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
12.293 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.293 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.293 * [taylor]: Taking taylor expansion of 2.0 in i
12.293 * [backup-simplify]: Simplify 2.0 into 2.0
12.293 * [taylor]: Taking taylor expansion of i in i
12.293 * [backup-simplify]: Simplify 0 into 0
12.293 * [backup-simplify]: Simplify 1 into 1
12.293 * [taylor]: Taking taylor expansion of 2.0 in i
12.293 * [backup-simplify]: Simplify 2.0 into 2.0
12.293 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.294 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.294 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.295 * [backup-simplify]: Simplify (* 0 4.0) into 0
12.296 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.296 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.298 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
12.299 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
12.300 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
12.301 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.301 * [backup-simplify]: Simplify (+ 0 0) into 0
12.302 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.303 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
12.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.307 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
12.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.310 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
12.311 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
12.314 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
12.319 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
12.321 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
12.322 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.323 * [backup-simplify]: Simplify (+ 0 0) into 0
12.325 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
12.328 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
12.331 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
12.333 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
12.334 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
12.334 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
12.335 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (* 0.25 (pow (* 1 (* 1 alpha)) 2)))) into (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
12.336 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
12.336 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
12.336 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
12.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
12.337 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
12.337 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.337 * [taylor]: Taking taylor expansion of alpha in i
12.337 * [backup-simplify]: Simplify alpha into alpha
12.337 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.337 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.337 * [taylor]: Taking taylor expansion of beta in i
12.337 * [backup-simplify]: Simplify beta into beta
12.337 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.337 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
12.337 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.337 * [taylor]: Taking taylor expansion of beta in i
12.337 * [backup-simplify]: Simplify beta into beta
12.337 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.337 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.337 * [taylor]: Taking taylor expansion of alpha in i
12.337 * [backup-simplify]: Simplify alpha into alpha
12.337 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.337 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
12.337 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.337 * [taylor]: Taking taylor expansion of alpha in i
12.337 * [backup-simplify]: Simplify alpha into alpha
12.337 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.337 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
12.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.337 * [taylor]: Taking taylor expansion of 2.0 in i
12.337 * [backup-simplify]: Simplify 2.0 into 2.0
12.337 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.337 * [taylor]: Taking taylor expansion of i in i
12.338 * [backup-simplify]: Simplify 0 into 0
12.338 * [backup-simplify]: Simplify 1 into 1
12.338 * [backup-simplify]: Simplify (/ 1 1) into 1
12.338 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
12.338 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.338 * [taylor]: Taking taylor expansion of beta in i
12.338 * [backup-simplify]: Simplify beta into beta
12.338 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.338 * [taylor]: Taking taylor expansion of 2.0 in i
12.338 * [backup-simplify]: Simplify 2.0 into 2.0
12.338 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.338 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.338 * [taylor]: Taking taylor expansion of alpha in i
12.338 * [backup-simplify]: Simplify alpha into alpha
12.338 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.338 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.338 * [taylor]: Taking taylor expansion of 2.0 in i
12.338 * [backup-simplify]: Simplify 2.0 into 2.0
12.339 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.339 * [taylor]: Taking taylor expansion of i in i
12.339 * [backup-simplify]: Simplify 0 into 0
12.339 * [backup-simplify]: Simplify 1 into 1
12.339 * [backup-simplify]: Simplify (/ 1 1) into 1
12.339 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.339 * [taylor]: Taking taylor expansion of beta in i
12.339 * [backup-simplify]: Simplify beta into beta
12.339 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.339 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
12.339 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
12.339 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
12.340 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
12.340 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.341 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.341 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.341 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.342 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.342 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.342 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.343 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
12.343 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
12.343 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
12.343 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.343 * [taylor]: Taking taylor expansion of alpha in beta
12.343 * [backup-simplify]: Simplify alpha into alpha
12.343 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.343 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.343 * [taylor]: Taking taylor expansion of beta in beta
12.343 * [backup-simplify]: Simplify 0 into 0
12.343 * [backup-simplify]: Simplify 1 into 1
12.343 * [backup-simplify]: Simplify (/ 1 1) into 1
12.344 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.344 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.344 * [taylor]: Taking taylor expansion of beta in beta
12.344 * [backup-simplify]: Simplify 0 into 0
12.344 * [backup-simplify]: Simplify 1 into 1
12.344 * [backup-simplify]: Simplify (/ 1 1) into 1
12.344 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.344 * [taylor]: Taking taylor expansion of alpha in beta
12.344 * [backup-simplify]: Simplify alpha into alpha
12.344 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.344 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
12.344 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.344 * [taylor]: Taking taylor expansion of alpha in beta
12.344 * [backup-simplify]: Simplify alpha into alpha
12.344 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.344 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
12.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.344 * [taylor]: Taking taylor expansion of 2.0 in beta
12.344 * [backup-simplify]: Simplify 2.0 into 2.0
12.344 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.345 * [taylor]: Taking taylor expansion of i in beta
12.345 * [backup-simplify]: Simplify i into i
12.345 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.345 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
12.345 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.345 * [taylor]: Taking taylor expansion of beta in beta
12.345 * [backup-simplify]: Simplify 0 into 0
12.345 * [backup-simplify]: Simplify 1 into 1
12.345 * [backup-simplify]: Simplify (/ 1 1) into 1
12.345 * [taylor]: Taking taylor expansion of 2.0 in beta
12.345 * [backup-simplify]: Simplify 2.0 into 2.0
12.345 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.345 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.345 * [taylor]: Taking taylor expansion of alpha in beta
12.345 * [backup-simplify]: Simplify alpha into alpha
12.345 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.345 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.345 * [taylor]: Taking taylor expansion of 2.0 in beta
12.345 * [backup-simplify]: Simplify 2.0 into 2.0
12.345 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.345 * [taylor]: Taking taylor expansion of i in beta
12.345 * [backup-simplify]: Simplify i into i
12.346 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.346 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.346 * [taylor]: Taking taylor expansion of beta in beta
12.346 * [backup-simplify]: Simplify 0 into 0
12.346 * [backup-simplify]: Simplify 1 into 1
12.346 * [backup-simplify]: Simplify (/ 1 1) into 1
12.346 * [backup-simplify]: Simplify (+ 0 1) into 1
12.347 * [backup-simplify]: Simplify (+ 1 0) into 1
12.347 * [backup-simplify]: Simplify (* 1 1) into 1
12.348 * [backup-simplify]: Simplify (+ 1 0) into 1
12.348 * [backup-simplify]: Simplify (+ 0 1) into 1
12.349 * [backup-simplify]: Simplify (+ 0 1) into 1
12.349 * [backup-simplify]: Simplify (+ 0 1) into 1
12.349 * [backup-simplify]: Simplify (+ 0 1) into 1
12.350 * [backup-simplify]: Simplify (* 1 1) into 1
12.350 * [backup-simplify]: Simplify (/ 1 1) into 1
12.350 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
12.350 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
12.350 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.350 * [taylor]: Taking taylor expansion of alpha in alpha
12.350 * [backup-simplify]: Simplify 0 into 0
12.350 * [backup-simplify]: Simplify 1 into 1
12.351 * [backup-simplify]: Simplify (/ 1 1) into 1
12.351 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.351 * [taylor]: Taking taylor expansion of beta in alpha
12.351 * [backup-simplify]: Simplify beta into beta
12.351 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.351 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
12.351 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.351 * [taylor]: Taking taylor expansion of beta in alpha
12.351 * [backup-simplify]: Simplify beta into beta
12.351 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.351 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.351 * [taylor]: Taking taylor expansion of alpha in alpha
12.351 * [backup-simplify]: Simplify 0 into 0
12.351 * [backup-simplify]: Simplify 1 into 1
12.351 * [backup-simplify]: Simplify (/ 1 1) into 1
12.351 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.351 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.351 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.352 * [taylor]: Taking taylor expansion of alpha in alpha
12.352 * [backup-simplify]: Simplify 0 into 0
12.352 * [backup-simplify]: Simplify 1 into 1
12.352 * [backup-simplify]: Simplify (/ 1 1) into 1
12.352 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.352 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.352 * [backup-simplify]: Simplify 2.0 into 2.0
12.352 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.352 * [taylor]: Taking taylor expansion of i in alpha
12.352 * [backup-simplify]: Simplify i into i
12.352 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.352 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.352 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.352 * [taylor]: Taking taylor expansion of beta in alpha
12.352 * [backup-simplify]: Simplify beta into beta
12.352 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.352 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.352 * [backup-simplify]: Simplify 2.0 into 2.0
12.352 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.352 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.352 * [taylor]: Taking taylor expansion of alpha in alpha
12.352 * [backup-simplify]: Simplify 0 into 0
12.352 * [backup-simplify]: Simplify 1 into 1
12.353 * [backup-simplify]: Simplify (/ 1 1) into 1
12.353 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.353 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.353 * [backup-simplify]: Simplify 2.0 into 2.0
12.353 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.353 * [taylor]: Taking taylor expansion of i in alpha
12.353 * [backup-simplify]: Simplify i into i
12.353 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.353 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.353 * [taylor]: Taking taylor expansion of beta in alpha
12.353 * [backup-simplify]: Simplify beta into beta
12.353 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.353 * [backup-simplify]: Simplify (+ 1 0) into 1
12.353 * [backup-simplify]: Simplify (- 1) into -1
12.354 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.354 * [backup-simplify]: Simplify (* 1 -1) into -1
12.354 * [backup-simplify]: Simplify (+ 1 0) into 1
12.354 * [backup-simplify]: Simplify (+ 1 0) into 1
12.355 * [backup-simplify]: Simplify (* 1 1) into 1
12.355 * [backup-simplify]: Simplify (/ -1 1) into -1
12.355 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
12.355 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
12.355 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.355 * [taylor]: Taking taylor expansion of alpha in alpha
12.355 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify 1 into 1
12.355 * [backup-simplify]: Simplify (/ 1 1) into 1
12.355 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.355 * [taylor]: Taking taylor expansion of beta in alpha
12.355 * [backup-simplify]: Simplify beta into beta
12.355 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.355 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
12.355 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.355 * [taylor]: Taking taylor expansion of beta in alpha
12.355 * [backup-simplify]: Simplify beta into beta
12.356 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.356 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.356 * [taylor]: Taking taylor expansion of alpha in alpha
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 1 into 1
12.356 * [backup-simplify]: Simplify (/ 1 1) into 1
12.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.356 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.356 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.356 * [taylor]: Taking taylor expansion of alpha in alpha
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 1 into 1
12.356 * [backup-simplify]: Simplify (/ 1 1) into 1
12.356 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.356 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.356 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.356 * [backup-simplify]: Simplify 2.0 into 2.0
12.356 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.356 * [taylor]: Taking taylor expansion of i in alpha
12.356 * [backup-simplify]: Simplify i into i
12.356 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.356 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.356 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.356 * [taylor]: Taking taylor expansion of beta in alpha
12.356 * [backup-simplify]: Simplify beta into beta
12.356 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.356 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.356 * [backup-simplify]: Simplify 2.0 into 2.0
12.356 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.357 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.357 * [taylor]: Taking taylor expansion of alpha in alpha
12.357 * [backup-simplify]: Simplify 0 into 0
12.357 * [backup-simplify]: Simplify 1 into 1
12.357 * [backup-simplify]: Simplify (/ 1 1) into 1
12.357 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.357 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.357 * [backup-simplify]: Simplify 2.0 into 2.0
12.357 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.357 * [taylor]: Taking taylor expansion of i in alpha
12.357 * [backup-simplify]: Simplify i into i
12.357 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.357 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.357 * [taylor]: Taking taylor expansion of beta in alpha
12.357 * [backup-simplify]: Simplify beta into beta
12.357 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.357 * [backup-simplify]: Simplify (+ 1 0) into 1
12.358 * [backup-simplify]: Simplify (- 1) into -1
12.358 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.358 * [backup-simplify]: Simplify (* 1 -1) into -1
12.358 * [backup-simplify]: Simplify (+ 1 0) into 1
12.359 * [backup-simplify]: Simplify (+ 1 0) into 1
12.359 * [backup-simplify]: Simplify (* 1 1) into 1
12.359 * [backup-simplify]: Simplify (/ -1 1) into -1
12.359 * [taylor]: Taking taylor expansion of -1 in beta
12.359 * [backup-simplify]: Simplify -1 into -1
12.359 * [taylor]: Taking taylor expansion of -1 in i
12.359 * [backup-simplify]: Simplify -1 into -1
12.359 * [backup-simplify]: Simplify 0 into 0
12.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.364 * [backup-simplify]: Simplify (- 0) into 0
12.365 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
12.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.365 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
12.366 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
12.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.366 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.366 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.366 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.367 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.367 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
12.367 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
12.367 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
12.367 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
12.368 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
12.368 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
12.368 * [taylor]: Taking taylor expansion of 4.0 in beta
12.368 * [backup-simplify]: Simplify 4.0 into 4.0
12.368 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.368 * [taylor]: Taking taylor expansion of i in beta
12.368 * [backup-simplify]: Simplify i into i
12.368 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.368 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
12.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
12.368 * [taylor]: Taking taylor expansion of 2 in beta
12.368 * [backup-simplify]: Simplify 2 into 2
12.368 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.368 * [taylor]: Taking taylor expansion of beta in beta
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 1 into 1
12.368 * [backup-simplify]: Simplify (/ 1 1) into 1
12.368 * [taylor]: Taking taylor expansion of 2.0 in beta
12.368 * [backup-simplify]: Simplify 2.0 into 2.0
12.369 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
12.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.370 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.370 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
12.370 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
12.370 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
12.370 * [taylor]: Taking taylor expansion of 4.0 in i
12.370 * [backup-simplify]: Simplify 4.0 into 4.0
12.370 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.370 * [taylor]: Taking taylor expansion of i in i
12.370 * [backup-simplify]: Simplify 0 into 0
12.370 * [backup-simplify]: Simplify 1 into 1
12.370 * [backup-simplify]: Simplify (/ 1 1) into 1
12.370 * [taylor]: Taking taylor expansion of 2.0 in i
12.370 * [backup-simplify]: Simplify 2.0 into 2.0
12.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.372 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.372 * [backup-simplify]: Simplify (+ 0 0) into 0
12.372 * [backup-simplify]: Simplify 0 into 0
12.372 * [taylor]: Taking taylor expansion of 0 in i
12.372 * [backup-simplify]: Simplify 0 into 0
12.372 * [backup-simplify]: Simplify 0 into 0
12.373 * [backup-simplify]: Simplify 0 into 0
12.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.373 * [backup-simplify]: Simplify (- 0) into 0
12.374 * [backup-simplify]: Simplify (+ 0 0) into 0
12.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.374 * [backup-simplify]: Simplify (+ 0 0) into 0
12.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
12.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.376 * [backup-simplify]: Simplify (+ 0 0) into 0
12.376 * [backup-simplify]: Simplify (+ 0 0) into 0
12.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.378 * [backup-simplify]: Simplify (+ 0 0) into 0
12.378 * [backup-simplify]: Simplify (+ 0 0) into 0
12.378 * [backup-simplify]: Simplify (+ 0 0) into 0
12.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
12.380 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
12.380 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) in beta
12.380 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) in beta
12.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
12.380 * [taylor]: Taking taylor expansion of 2 in beta
12.380 * [backup-simplify]: Simplify 2 into 2
12.380 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.380 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.380 * [taylor]: Taking taylor expansion of beta in beta
12.380 * [backup-simplify]: Simplify 0 into 0
12.380 * [backup-simplify]: Simplify 1 into 1
12.381 * [backup-simplify]: Simplify (* 1 1) into 1
12.381 * [backup-simplify]: Simplify (/ 1 1) into 1
12.381 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))) in beta
12.381 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
12.381 * [taylor]: Taking taylor expansion of 12.0 in beta
12.381 * [backup-simplify]: Simplify 12.0 into 12.0
12.381 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.381 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.381 * [taylor]: Taking taylor expansion of i in beta
12.381 * [backup-simplify]: Simplify i into i
12.381 * [taylor]: Taking taylor expansion of beta in beta
12.381 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify 1 into 1
12.381 * [backup-simplify]: Simplify (* i 0) into 0
12.381 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.381 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.381 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
12.381 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
12.381 * [taylor]: Taking taylor expansion of 12.0 in beta
12.381 * [backup-simplify]: Simplify 12.0 into 12.0
12.381 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.381 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.381 * [taylor]: Taking taylor expansion of i in beta
12.381 * [backup-simplify]: Simplify i into i
12.382 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.382 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.382 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
12.382 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
12.382 * [taylor]: Taking taylor expansion of 12.0 in beta
12.382 * [backup-simplify]: Simplify 12.0 into 12.0
12.382 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.382 * [taylor]: Taking taylor expansion of i in beta
12.382 * [backup-simplify]: Simplify i into i
12.382 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.382 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
12.382 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
12.382 * [taylor]: Taking taylor expansion of 6.0 in beta
12.382 * [backup-simplify]: Simplify 6.0 into 6.0
12.382 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.382 * [taylor]: Taking taylor expansion of beta in beta
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.382 * [backup-simplify]: Simplify (/ 1 1) into 1
12.382 * [taylor]: Taking taylor expansion of 4.0 in beta
12.382 * [backup-simplify]: Simplify 4.0 into 4.0
12.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.385 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.385 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.385 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
12.385 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.386 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
12.387 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.387 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
12.387 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
12.387 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
12.387 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
12.388 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
12.388 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
12.388 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
12.388 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
12.388 * [taylor]: Taking taylor expansion of 12.0 in i
12.388 * [backup-simplify]: Simplify 12.0 into 12.0
12.388 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.388 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.388 * [taylor]: Taking taylor expansion of i in i
12.388 * [backup-simplify]: Simplify 0 into 0
12.388 * [backup-simplify]: Simplify 1 into 1
12.388 * [backup-simplify]: Simplify (* 1 1) into 1
12.388 * [backup-simplify]: Simplify (/ 1 1) into 1
12.388 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
12.388 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
12.388 * [taylor]: Taking taylor expansion of 12.0 in i
12.388 * [backup-simplify]: Simplify 12.0 into 12.0
12.388 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.388 * [taylor]: Taking taylor expansion of i in i
12.388 * [backup-simplify]: Simplify 0 into 0
12.388 * [backup-simplify]: Simplify 1 into 1
12.389 * [backup-simplify]: Simplify (/ 1 1) into 1
12.389 * [taylor]: Taking taylor expansion of 4.0 in i
12.389 * [backup-simplify]: Simplify 4.0 into 4.0
12.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.394 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.396 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.396 * [backup-simplify]: Simplify (+ 0 0) into 0
12.396 * [backup-simplify]: Simplify (+ 0 0) into 0
12.396 * [backup-simplify]: Simplify (- 0) into 0
12.396 * [backup-simplify]: Simplify 0 into 0
12.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.397 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.399 * [backup-simplify]: Simplify (+ 0 0) into 0
12.399 * [backup-simplify]: Simplify (+ 0 0) into 0
12.399 * [taylor]: Taking taylor expansion of 0 in i
12.399 * [backup-simplify]: Simplify 0 into 0
12.399 * [backup-simplify]: Simplify 0 into 0
12.399 * [backup-simplify]: Simplify 0 into 0
12.400 * [backup-simplify]: Simplify (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
12.400 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
12.400 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
12.400 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
12.400 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
12.400 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.400 * [taylor]: Taking taylor expansion of alpha in i
12.400 * [backup-simplify]: Simplify alpha into alpha
12.400 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.400 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.400 * [taylor]: Taking taylor expansion of beta in i
12.400 * [backup-simplify]: Simplify beta into beta
12.400 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.400 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
12.400 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.400 * [taylor]: Taking taylor expansion of alpha in i
12.400 * [backup-simplify]: Simplify alpha into alpha
12.400 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.400 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.400 * [taylor]: Taking taylor expansion of beta in i
12.400 * [backup-simplify]: Simplify beta into beta
12.400 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.400 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.400 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.400 * [taylor]: Taking taylor expansion of 2.0 in i
12.400 * [backup-simplify]: Simplify 2.0 into 2.0
12.400 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.400 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.400 * [taylor]: Taking taylor expansion of alpha in i
12.400 * [backup-simplify]: Simplify alpha into alpha
12.400 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.401 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.401 * [taylor]: Taking taylor expansion of 2.0 in i
12.401 * [backup-simplify]: Simplify 2.0 into 2.0
12.401 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.401 * [taylor]: Taking taylor expansion of i in i
12.401 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify 1 into 1
12.401 * [backup-simplify]: Simplify (/ 1 1) into 1
12.401 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.401 * [taylor]: Taking taylor expansion of beta in i
12.401 * [backup-simplify]: Simplify beta into beta
12.401 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.401 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.401 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.401 * [taylor]: Taking taylor expansion of alpha in i
12.401 * [backup-simplify]: Simplify alpha into alpha
12.401 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.401 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.401 * [taylor]: Taking taylor expansion of 2.0 in i
12.401 * [backup-simplify]: Simplify 2.0 into 2.0
12.401 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.401 * [taylor]: Taking taylor expansion of i in i
12.401 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify 1 into 1
12.401 * [backup-simplify]: Simplify (/ 1 1) into 1
12.401 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.401 * [taylor]: Taking taylor expansion of beta in i
12.402 * [backup-simplify]: Simplify beta into beta
12.402 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.402 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
12.402 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
12.402 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
12.402 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
12.402 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.402 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.403 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.403 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.403 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.404 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.404 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.404 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.405 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
12.405 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
12.405 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.405 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
12.405 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
12.405 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.405 * [taylor]: Taking taylor expansion of alpha in beta
12.405 * [backup-simplify]: Simplify alpha into alpha
12.405 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.405 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.405 * [taylor]: Taking taylor expansion of beta in beta
12.405 * [backup-simplify]: Simplify 0 into 0
12.405 * [backup-simplify]: Simplify 1 into 1
12.405 * [backup-simplify]: Simplify (/ 1 1) into 1
12.405 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
12.405 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.405 * [taylor]: Taking taylor expansion of alpha in beta
12.405 * [backup-simplify]: Simplify alpha into alpha
12.405 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.405 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.405 * [taylor]: Taking taylor expansion of beta in beta
12.405 * [backup-simplify]: Simplify 0 into 0
12.405 * [backup-simplify]: Simplify 1 into 1
12.406 * [backup-simplify]: Simplify (/ 1 1) into 1
12.406 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.406 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.406 * [taylor]: Taking taylor expansion of 2.0 in beta
12.406 * [backup-simplify]: Simplify 2.0 into 2.0
12.406 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.406 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.406 * [taylor]: Taking taylor expansion of alpha in beta
12.406 * [backup-simplify]: Simplify alpha into alpha
12.406 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.406 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.406 * [taylor]: Taking taylor expansion of 2.0 in beta
12.406 * [backup-simplify]: Simplify 2.0 into 2.0
12.406 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.406 * [taylor]: Taking taylor expansion of i in beta
12.406 * [backup-simplify]: Simplify i into i
12.406 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.406 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.406 * [taylor]: Taking taylor expansion of beta in beta
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * [backup-simplify]: Simplify 1 into 1
12.406 * [backup-simplify]: Simplify (/ 1 1) into 1
12.406 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.406 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.406 * [taylor]: Taking taylor expansion of alpha in beta
12.406 * [backup-simplify]: Simplify alpha into alpha
12.407 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.407 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.407 * [taylor]: Taking taylor expansion of 2.0 in beta
12.407 * [backup-simplify]: Simplify 2.0 into 2.0
12.407 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.407 * [taylor]: Taking taylor expansion of i in beta
12.407 * [backup-simplify]: Simplify i into i
12.407 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.407 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.407 * [taylor]: Taking taylor expansion of beta in beta
12.407 * [backup-simplify]: Simplify 0 into 0
12.407 * [backup-simplify]: Simplify 1 into 1
12.407 * [backup-simplify]: Simplify (/ 1 1) into 1
12.407 * [backup-simplify]: Simplify (- 1) into -1
12.407 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.408 * [backup-simplify]: Simplify (+ 0 1) into 1
12.408 * [backup-simplify]: Simplify (* -1 1) into -1
12.408 * [backup-simplify]: Simplify (+ 0 1) into 1
12.409 * [backup-simplify]: Simplify (+ 0 1) into 1
12.409 * [backup-simplify]: Simplify (- 1) into -1
12.409 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.410 * [backup-simplify]: Simplify (+ 0 1) into 1
12.410 * [backup-simplify]: Simplify (+ 0 1) into 1
12.411 * [backup-simplify]: Simplify (* -1 1) into -1
12.411 * [backup-simplify]: Simplify (/ -1 -1) into 1
12.411 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.411 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
12.411 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
12.411 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.411 * [taylor]: Taking taylor expansion of alpha in alpha
12.411 * [backup-simplify]: Simplify 0 into 0
12.411 * [backup-simplify]: Simplify 1 into 1
12.412 * [backup-simplify]: Simplify (/ 1 1) into 1
12.412 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.412 * [taylor]: Taking taylor expansion of beta in alpha
12.412 * [backup-simplify]: Simplify beta into beta
12.412 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.412 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
12.412 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.412 * [taylor]: Taking taylor expansion of alpha in alpha
12.412 * [backup-simplify]: Simplify 0 into 0
12.412 * [backup-simplify]: Simplify 1 into 1
12.412 * [backup-simplify]: Simplify (/ 1 1) into 1
12.412 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.412 * [taylor]: Taking taylor expansion of beta in alpha
12.413 * [backup-simplify]: Simplify beta into beta
12.413 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.413 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.413 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.413 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.413 * [backup-simplify]: Simplify 2.0 into 2.0
12.413 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.413 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.413 * [taylor]: Taking taylor expansion of alpha in alpha
12.413 * [backup-simplify]: Simplify 0 into 0
12.413 * [backup-simplify]: Simplify 1 into 1
12.413 * [backup-simplify]: Simplify (/ 1 1) into 1
12.413 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.413 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.413 * [backup-simplify]: Simplify 2.0 into 2.0
12.413 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.413 * [taylor]: Taking taylor expansion of i in alpha
12.413 * [backup-simplify]: Simplify i into i
12.414 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.414 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.414 * [taylor]: Taking taylor expansion of beta in alpha
12.414 * [backup-simplify]: Simplify beta into beta
12.414 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.414 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.414 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.414 * [taylor]: Taking taylor expansion of alpha in alpha
12.414 * [backup-simplify]: Simplify 0 into 0
12.414 * [backup-simplify]: Simplify 1 into 1
12.414 * [backup-simplify]: Simplify (/ 1 1) into 1
12.414 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.414 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.414 * [backup-simplify]: Simplify 2.0 into 2.0
12.414 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.414 * [taylor]: Taking taylor expansion of i in alpha
12.415 * [backup-simplify]: Simplify i into i
12.415 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.415 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.415 * [taylor]: Taking taylor expansion of beta in alpha
12.415 * [backup-simplify]: Simplify beta into beta
12.415 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.415 * [backup-simplify]: Simplify (+ 1 0) into 1
12.416 * [backup-simplify]: Simplify (+ 1 0) into 1
12.416 * [backup-simplify]: Simplify (* 1 1) into 1
12.416 * [backup-simplify]: Simplify (+ 1 0) into 1
12.417 * [backup-simplify]: Simplify (- 1) into -1
12.417 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.418 * [backup-simplify]: Simplify (+ 1 0) into 1
12.418 * [backup-simplify]: Simplify (* -1 1) into -1
12.418 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.418 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.419 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
12.419 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
12.419 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.419 * [taylor]: Taking taylor expansion of alpha in alpha
12.419 * [backup-simplify]: Simplify 0 into 0
12.419 * [backup-simplify]: Simplify 1 into 1
12.419 * [backup-simplify]: Simplify (/ 1 1) into 1
12.419 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.419 * [taylor]: Taking taylor expansion of beta in alpha
12.419 * [backup-simplify]: Simplify beta into beta
12.419 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.419 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
12.419 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.419 * [taylor]: Taking taylor expansion of alpha in alpha
12.419 * [backup-simplify]: Simplify 0 into 0
12.419 * [backup-simplify]: Simplify 1 into 1
12.420 * [backup-simplify]: Simplify (/ 1 1) into 1
12.420 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.420 * [taylor]: Taking taylor expansion of beta in alpha
12.420 * [backup-simplify]: Simplify beta into beta
12.420 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.420 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.420 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.420 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.420 * [backup-simplify]: Simplify 2.0 into 2.0
12.420 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.420 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.420 * [taylor]: Taking taylor expansion of alpha in alpha
12.420 * [backup-simplify]: Simplify 0 into 0
12.420 * [backup-simplify]: Simplify 1 into 1
12.421 * [backup-simplify]: Simplify (/ 1 1) into 1
12.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.421 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.421 * [backup-simplify]: Simplify 2.0 into 2.0
12.421 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.421 * [taylor]: Taking taylor expansion of i in alpha
12.421 * [backup-simplify]: Simplify i into i
12.421 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.421 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.421 * [taylor]: Taking taylor expansion of beta in alpha
12.421 * [backup-simplify]: Simplify beta into beta
12.421 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.421 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.421 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.421 * [taylor]: Taking taylor expansion of alpha in alpha
12.421 * [backup-simplify]: Simplify 0 into 0
12.421 * [backup-simplify]: Simplify 1 into 1
12.422 * [backup-simplify]: Simplify (/ 1 1) into 1
12.422 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.422 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.422 * [backup-simplify]: Simplify 2.0 into 2.0
12.422 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.422 * [taylor]: Taking taylor expansion of i in alpha
12.422 * [backup-simplify]: Simplify i into i
12.422 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.422 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.422 * [taylor]: Taking taylor expansion of beta in alpha
12.422 * [backup-simplify]: Simplify beta into beta
12.422 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.423 * [backup-simplify]: Simplify (+ 1 0) into 1
12.423 * [backup-simplify]: Simplify (+ 1 0) into 1
12.423 * [backup-simplify]: Simplify (* 1 1) into 1
12.424 * [backup-simplify]: Simplify (+ 1 0) into 1
12.424 * [backup-simplify]: Simplify (- 1) into -1
12.425 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.425 * [backup-simplify]: Simplify (+ 1 0) into 1
12.425 * [backup-simplify]: Simplify (* -1 1) into -1
12.426 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.426 * [taylor]: Taking taylor expansion of -1 in beta
12.426 * [backup-simplify]: Simplify -1 into -1
12.426 * [taylor]: Taking taylor expansion of -1 in i
12.426 * [backup-simplify]: Simplify -1 into -1
12.426 * [backup-simplify]: Simplify 0 into 0
12.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.427 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
12.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.428 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
12.428 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
12.428 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.429 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.429 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.429 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.430 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.430 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.431 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.431 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.431 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.431 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
12.432 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.432 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
12.432 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
12.433 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
12.433 * [taylor]: Taking taylor expansion of 4.0 in beta
12.433 * [backup-simplify]: Simplify 4.0 into 4.0
12.433 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.433 * [taylor]: Taking taylor expansion of i in beta
12.433 * [backup-simplify]: Simplify i into i
12.433 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
12.433 * [taylor]: Taking taylor expansion of 2 in beta
12.433 * [backup-simplify]: Simplify 2 into 2
12.433 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.433 * [taylor]: Taking taylor expansion of beta in beta
12.433 * [backup-simplify]: Simplify 0 into 0
12.433 * [backup-simplify]: Simplify 1 into 1
12.433 * [backup-simplify]: Simplify (/ 1 1) into 1
12.433 * [taylor]: Taking taylor expansion of 2.0 in beta
12.433 * [backup-simplify]: Simplify 2.0 into 2.0
12.434 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
12.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.435 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.435 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
12.435 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.436 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
12.436 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
12.436 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
12.436 * [taylor]: Taking taylor expansion of 4.0 in i
12.436 * [backup-simplify]: Simplify 4.0 into 4.0
12.436 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.436 * [taylor]: Taking taylor expansion of i in i
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify 1 into 1
12.437 * [backup-simplify]: Simplify (/ 1 1) into 1
12.437 * [taylor]: Taking taylor expansion of 2.0 in i
12.437 * [backup-simplify]: Simplify 2.0 into 2.0
12.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.440 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.441 * [backup-simplify]: Simplify (- 0) into 0
12.441 * [backup-simplify]: Simplify (+ 0 0) into 0
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [taylor]: Taking taylor expansion of 0 in i
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [backup-simplify]: Simplify 0 into 0
12.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.443 * [backup-simplify]: Simplify (+ 0 0) into 0
12.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.444 * [backup-simplify]: Simplify (- 0) into 0
12.444 * [backup-simplify]: Simplify (+ 0 0) into 0
12.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
12.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.447 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.448 * [backup-simplify]: Simplify (+ 0 0) into 0
12.448 * [backup-simplify]: Simplify (+ 0 0) into 0
12.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.450 * [backup-simplify]: Simplify (+ 0 0) into 0
12.451 * [backup-simplify]: Simplify (+ 0 0) into 0
12.451 * [backup-simplify]: Simplify (- 0) into 0
12.451 * [backup-simplify]: Simplify (+ 0 0) into 0
12.453 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
12.455 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) -1) (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))
12.455 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
12.455 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
12.455 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
12.455 * [taylor]: Taking taylor expansion of 6.0 in beta
12.456 * [backup-simplify]: Simplify 6.0 into 6.0
12.456 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.456 * [taylor]: Taking taylor expansion of beta in beta
12.456 * [backup-simplify]: Simplify 0 into 0
12.456 * [backup-simplify]: Simplify 1 into 1
12.456 * [backup-simplify]: Simplify (/ 1 1) into 1
12.456 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
12.456 * [taylor]: Taking taylor expansion of 12.0 in beta
12.456 * [backup-simplify]: Simplify 12.0 into 12.0
12.456 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.456 * [taylor]: Taking taylor expansion of i in beta
12.456 * [backup-simplify]: Simplify i into i
12.456 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.456 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
12.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
12.456 * [taylor]: Taking taylor expansion of 2 in beta
12.456 * [backup-simplify]: Simplify 2 into 2
12.457 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.457 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.457 * [taylor]: Taking taylor expansion of beta in beta
12.457 * [backup-simplify]: Simplify 0 into 0
12.457 * [backup-simplify]: Simplify 1 into 1
12.457 * [backup-simplify]: Simplify (* 1 1) into 1
12.457 * [backup-simplify]: Simplify (/ 1 1) into 1
12.457 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
12.457 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
12.457 * [taylor]: Taking taylor expansion of 12.0 in beta
12.458 * [backup-simplify]: Simplify 12.0 into 12.0
12.458 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.458 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.458 * [taylor]: Taking taylor expansion of i in beta
12.458 * [backup-simplify]: Simplify i into i
12.458 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.458 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.458 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
12.458 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
12.458 * [taylor]: Taking taylor expansion of 12.0 in beta
12.458 * [backup-simplify]: Simplify 12.0 into 12.0
12.458 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.458 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.458 * [taylor]: Taking taylor expansion of i in beta
12.458 * [backup-simplify]: Simplify i into i
12.458 * [taylor]: Taking taylor expansion of beta in beta
12.458 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [backup-simplify]: Simplify (* i 0) into 0
12.459 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.459 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.459 * [taylor]: Taking taylor expansion of 4.0 in beta
12.459 * [backup-simplify]: Simplify 4.0 into 4.0
12.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.460 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
12.460 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
12.461 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
12.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.465 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
12.466 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.466 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.467 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.467 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
12.467 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
12.467 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.468 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.468 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
12.468 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
12.468 * [taylor]: Taking taylor expansion of 12.0 in i
12.468 * [backup-simplify]: Simplify 12.0 into 12.0
12.468 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.468 * [taylor]: Taking taylor expansion of i in i
12.468 * [backup-simplify]: Simplify 0 into 0
12.468 * [backup-simplify]: Simplify 1 into 1
12.468 * [backup-simplify]: Simplify (/ 1 1) into 1
12.468 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
12.468 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
12.468 * [taylor]: Taking taylor expansion of 12.0 in i
12.468 * [backup-simplify]: Simplify 12.0 into 12.0
12.468 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.469 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.469 * [taylor]: Taking taylor expansion of i in i
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [backup-simplify]: Simplify 1 into 1
12.469 * [backup-simplify]: Simplify (* 1 1) into 1
12.469 * [backup-simplify]: Simplify (/ 1 1) into 1
12.469 * [taylor]: Taking taylor expansion of 4.0 in i
12.469 * [backup-simplify]: Simplify 4.0 into 4.0
12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.471 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.476 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.476 * [backup-simplify]: Simplify (+ 0 0) into 0
12.480 * [backup-simplify]: Simplify (- 0) into 0
12.481 * [backup-simplify]: Simplify (+ 0 0) into 0
12.481 * [backup-simplify]: Simplify 0 into 0
12.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.481 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.483 * [backup-simplify]: Simplify (+ 0 0) into 0
12.483 * [backup-simplify]: Simplify (- 0) into 0
12.483 * [backup-simplify]: Simplify (+ 0 0) into 0
12.483 * [taylor]: Taking taylor expansion of 0 in i
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
12.484 * [backup-simplify]: Simplify (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
12.484 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
12.484 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
12.484 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
12.484 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
12.484 * [taylor]: Taking taylor expansion of (pow beta 2) in i
12.484 * [taylor]: Taking taylor expansion of beta in i
12.484 * [backup-simplify]: Simplify beta into beta
12.484 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
12.484 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
12.484 * [taylor]: Taking taylor expansion of alpha in i
12.484 * [backup-simplify]: Simplify alpha into alpha
12.484 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.484 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.484 * [taylor]: Taking taylor expansion of 2.0 in i
12.484 * [backup-simplify]: Simplify 2.0 into 2.0
12.484 * [taylor]: Taking taylor expansion of i in i
12.484 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify 1 into 1
12.484 * [taylor]: Taking taylor expansion of beta in i
12.484 * [backup-simplify]: Simplify beta into beta
12.484 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
12.484 * [taylor]: Taking taylor expansion of alpha in i
12.484 * [backup-simplify]: Simplify alpha into alpha
12.484 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
12.484 * [taylor]: Taking taylor expansion of 2.0 in i
12.484 * [backup-simplify]: Simplify 2.0 into 2.0
12.484 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.484 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.484 * [taylor]: Taking taylor expansion of 2.0 in i
12.484 * [backup-simplify]: Simplify 2.0 into 2.0
12.484 * [taylor]: Taking taylor expansion of i in i
12.484 * [backup-simplify]: Simplify 0 into 0
12.484 * [backup-simplify]: Simplify 1 into 1
12.484 * [taylor]: Taking taylor expansion of beta in i
12.484 * [backup-simplify]: Simplify beta into beta
12.485 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.485 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.485 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.485 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.485 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.485 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.485 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
12.485 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
12.485 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
12.485 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
12.485 * [taylor]: Taking taylor expansion of 1.0 in i
12.485 * [backup-simplify]: Simplify 1.0 into 1.0
12.486 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
12.486 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
12.486 * [taylor]: Taking taylor expansion of alpha in i
12.486 * [backup-simplify]: Simplify alpha into alpha
12.486 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
12.486 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
12.486 * [taylor]: Taking taylor expansion of alpha in i
12.486 * [backup-simplify]: Simplify alpha into alpha
12.486 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.486 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.486 * [taylor]: Taking taylor expansion of 2.0 in i
12.486 * [backup-simplify]: Simplify 2.0 into 2.0
12.486 * [taylor]: Taking taylor expansion of i in i
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify 1 into 1
12.486 * [taylor]: Taking taylor expansion of beta in i
12.486 * [backup-simplify]: Simplify beta into beta
12.486 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
12.486 * [taylor]: Taking taylor expansion of alpha in i
12.486 * [backup-simplify]: Simplify alpha into alpha
12.486 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
12.486 * [taylor]: Taking taylor expansion of 2.0 in i
12.486 * [backup-simplify]: Simplify 2.0 into 2.0
12.486 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.486 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.486 * [taylor]: Taking taylor expansion of 2.0 in i
12.486 * [backup-simplify]: Simplify 2.0 into 2.0
12.486 * [taylor]: Taking taylor expansion of i in i
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify 1 into 1
12.486 * [taylor]: Taking taylor expansion of beta in i
12.486 * [backup-simplify]: Simplify beta into beta
12.486 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.486 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.486 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.486 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.487 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.487 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.487 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
12.487 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
12.487 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
12.487 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
12.487 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
12.487 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
12.487 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.487 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.487 * [taylor]: Taking taylor expansion of beta in beta
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [backup-simplify]: Simplify 1 into 1
12.487 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.487 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.487 * [taylor]: Taking taylor expansion of alpha in beta
12.487 * [backup-simplify]: Simplify alpha into alpha
12.487 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.487 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.487 * [taylor]: Taking taylor expansion of 2.0 in beta
12.487 * [backup-simplify]: Simplify 2.0 into 2.0
12.487 * [taylor]: Taking taylor expansion of i in beta
12.487 * [backup-simplify]: Simplify i into i
12.487 * [taylor]: Taking taylor expansion of beta in beta
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [backup-simplify]: Simplify 1 into 1
12.487 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.487 * [taylor]: Taking taylor expansion of alpha in beta
12.487 * [backup-simplify]: Simplify alpha into alpha
12.487 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.487 * [taylor]: Taking taylor expansion of 2.0 in beta
12.487 * [backup-simplify]: Simplify 2.0 into 2.0
12.487 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.488 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.488 * [taylor]: Taking taylor expansion of 2.0 in beta
12.488 * [backup-simplify]: Simplify 2.0 into 2.0
12.488 * [taylor]: Taking taylor expansion of i in beta
12.488 * [backup-simplify]: Simplify i into i
12.488 * [taylor]: Taking taylor expansion of beta in beta
12.488 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify 1 into 1
12.488 * [backup-simplify]: Simplify (* 1 1) into 1
12.488 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.488 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.488 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.488 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.488 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.488 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.488 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.488 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.488 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
12.488 * [taylor]: Taking taylor expansion of 1.0 in beta
12.488 * [backup-simplify]: Simplify 1.0 into 1.0
12.489 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.489 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
12.489 * [taylor]: Taking taylor expansion of alpha in beta
12.489 * [backup-simplify]: Simplify alpha into alpha
12.489 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.489 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.489 * [taylor]: Taking taylor expansion of alpha in beta
12.489 * [backup-simplify]: Simplify alpha into alpha
12.489 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.489 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.489 * [taylor]: Taking taylor expansion of 2.0 in beta
12.489 * [backup-simplify]: Simplify 2.0 into 2.0
12.489 * [taylor]: Taking taylor expansion of i in beta
12.489 * [backup-simplify]: Simplify i into i
12.489 * [taylor]: Taking taylor expansion of beta in beta
12.489 * [backup-simplify]: Simplify 0 into 0
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.489 * [taylor]: Taking taylor expansion of alpha in beta
12.489 * [backup-simplify]: Simplify alpha into alpha
12.489 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.489 * [taylor]: Taking taylor expansion of 2.0 in beta
12.489 * [backup-simplify]: Simplify 2.0 into 2.0
12.489 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.489 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.489 * [taylor]: Taking taylor expansion of 2.0 in beta
12.489 * [backup-simplify]: Simplify 2.0 into 2.0
12.489 * [taylor]: Taking taylor expansion of i in beta
12.489 * [backup-simplify]: Simplify i into i
12.489 * [taylor]: Taking taylor expansion of beta in beta
12.489 * [backup-simplify]: Simplify 0 into 0
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.489 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.489 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.489 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.489 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.489 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.489 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.489 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.490 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.490 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
12.490 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
12.490 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
12.490 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.490 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.490 * [taylor]: Taking taylor expansion of beta in alpha
12.490 * [backup-simplify]: Simplify beta into beta
12.490 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.490 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.490 * [taylor]: Taking taylor expansion of alpha in alpha
12.490 * [backup-simplify]: Simplify 0 into 0
12.490 * [backup-simplify]: Simplify 1 into 1
12.490 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.490 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.490 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.490 * [backup-simplify]: Simplify 2.0 into 2.0
12.490 * [taylor]: Taking taylor expansion of i in alpha
12.490 * [backup-simplify]: Simplify i into i
12.490 * [taylor]: Taking taylor expansion of beta in alpha
12.490 * [backup-simplify]: Simplify beta into beta
12.490 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.490 * [taylor]: Taking taylor expansion of alpha in alpha
12.490 * [backup-simplify]: Simplify 0 into 0
12.490 * [backup-simplify]: Simplify 1 into 1
12.490 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.490 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.490 * [backup-simplify]: Simplify 2.0 into 2.0
12.490 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.490 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.490 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.490 * [backup-simplify]: Simplify 2.0 into 2.0
12.490 * [taylor]: Taking taylor expansion of i in alpha
12.490 * [backup-simplify]: Simplify i into i
12.490 * [taylor]: Taking taylor expansion of beta in alpha
12.490 * [backup-simplify]: Simplify beta into beta
12.490 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.490 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.490 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.490 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.491 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.491 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.491 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.491 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.491 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.491 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.491 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.491 * [backup-simplify]: Simplify 1.0 into 1.0
12.491 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.491 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.491 * [taylor]: Taking taylor expansion of alpha in alpha
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 1 into 1
12.491 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.491 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.491 * [taylor]: Taking taylor expansion of alpha in alpha
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 1 into 1
12.491 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.491 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.491 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.491 * [backup-simplify]: Simplify 2.0 into 2.0
12.491 * [taylor]: Taking taylor expansion of i in alpha
12.491 * [backup-simplify]: Simplify i into i
12.491 * [taylor]: Taking taylor expansion of beta in alpha
12.491 * [backup-simplify]: Simplify beta into beta
12.491 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.491 * [taylor]: Taking taylor expansion of alpha in alpha
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 1 into 1
12.491 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.491 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.492 * [backup-simplify]: Simplify 2.0 into 2.0
12.492 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.492 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.492 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.492 * [backup-simplify]: Simplify 2.0 into 2.0
12.492 * [taylor]: Taking taylor expansion of i in alpha
12.492 * [backup-simplify]: Simplify i into i
12.492 * [taylor]: Taking taylor expansion of beta in alpha
12.492 * [backup-simplify]: Simplify beta into beta
12.492 * [backup-simplify]: Simplify (* 1 1) into 1
12.492 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.492 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.492 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.492 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.492 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.492 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.492 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.492 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.493 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.493 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
12.493 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
12.493 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.493 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.493 * [taylor]: Taking taylor expansion of beta in alpha
12.493 * [backup-simplify]: Simplify beta into beta
12.493 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.493 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.493 * [taylor]: Taking taylor expansion of alpha in alpha
12.493 * [backup-simplify]: Simplify 0 into 0
12.493 * [backup-simplify]: Simplify 1 into 1
12.493 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.493 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.493 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.493 * [backup-simplify]: Simplify 2.0 into 2.0
12.493 * [taylor]: Taking taylor expansion of i in alpha
12.493 * [backup-simplify]: Simplify i into i
12.493 * [taylor]: Taking taylor expansion of beta in alpha
12.493 * [backup-simplify]: Simplify beta into beta
12.493 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.493 * [taylor]: Taking taylor expansion of alpha in alpha
12.493 * [backup-simplify]: Simplify 0 into 0
12.493 * [backup-simplify]: Simplify 1 into 1
12.493 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.493 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.493 * [backup-simplify]: Simplify 2.0 into 2.0
12.493 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.493 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.493 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.493 * [backup-simplify]: Simplify 2.0 into 2.0
12.493 * [taylor]: Taking taylor expansion of i in alpha
12.493 * [backup-simplify]: Simplify i into i
12.493 * [taylor]: Taking taylor expansion of beta in alpha
12.493 * [backup-simplify]: Simplify beta into beta
12.493 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.493 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.493 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.493 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.493 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.493 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.493 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.494 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.494 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.494 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.494 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.494 * [backup-simplify]: Simplify 1.0 into 1.0
12.494 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.494 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.494 * [taylor]: Taking taylor expansion of alpha in alpha
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 1 into 1
12.494 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.494 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.494 * [taylor]: Taking taylor expansion of alpha in alpha
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 1 into 1
12.494 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.494 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.494 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.494 * [backup-simplify]: Simplify 2.0 into 2.0
12.494 * [taylor]: Taking taylor expansion of i in alpha
12.494 * [backup-simplify]: Simplify i into i
12.494 * [taylor]: Taking taylor expansion of beta in alpha
12.494 * [backup-simplify]: Simplify beta into beta
12.494 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.494 * [taylor]: Taking taylor expansion of alpha in alpha
12.494 * [backup-simplify]: Simplify 0 into 0
12.494 * [backup-simplify]: Simplify 1 into 1
12.494 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.494 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.494 * [backup-simplify]: Simplify 2.0 into 2.0
12.494 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.494 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.494 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.494 * [backup-simplify]: Simplify 2.0 into 2.0
12.494 * [taylor]: Taking taylor expansion of i in alpha
12.494 * [backup-simplify]: Simplify i into i
12.494 * [taylor]: Taking taylor expansion of beta in alpha
12.494 * [backup-simplify]: Simplify beta into beta
12.495 * [backup-simplify]: Simplify (* 1 1) into 1
12.495 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.495 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.495 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.495 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.495 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.495 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.495 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.495 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.495 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.496 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
12.496 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
12.496 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
12.496 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
12.496 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.496 * [taylor]: Taking taylor expansion of beta in beta
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.496 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
12.496 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.496 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.496 * [taylor]: Taking taylor expansion of 2.0 in beta
12.496 * [backup-simplify]: Simplify 2.0 into 2.0
12.496 * [taylor]: Taking taylor expansion of i in beta
12.496 * [backup-simplify]: Simplify i into i
12.496 * [taylor]: Taking taylor expansion of beta in beta
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.496 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.496 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.496 * [taylor]: Taking taylor expansion of 2.0 in beta
12.496 * [backup-simplify]: Simplify 2.0 into 2.0
12.496 * [taylor]: Taking taylor expansion of i in beta
12.496 * [backup-simplify]: Simplify i into i
12.496 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.496 * [taylor]: Taking taylor expansion of beta in beta
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.496 * [taylor]: Taking taylor expansion of 2.0 in beta
12.496 * [backup-simplify]: Simplify 2.0 into 2.0
12.497 * [backup-simplify]: Simplify (* 1 1) into 1
12.497 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.497 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.497 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.498 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.498 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.498 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
12.498 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
12.498 * [taylor]: Taking taylor expansion of 1.0 in beta
12.498 * [backup-simplify]: Simplify 1.0 into 1.0
12.499 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
12.499 * [taylor]: Taking taylor expansion of 1.0 in i
12.499 * [backup-simplify]: Simplify 1.0 into 1.0
12.499 * [backup-simplify]: Simplify 1.0 into 1.0
12.499 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
12.499 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.500 * [backup-simplify]: Simplify (+ 0 0) into 0
12.500 * [backup-simplify]: Simplify (+ 0 0) into 0
12.501 * [backup-simplify]: Simplify (+ 1 0) into 1
12.501 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.501 * [backup-simplify]: Simplify (+ 0 0) into 0
12.502 * [backup-simplify]: Simplify (+ 1 0) into 1
12.502 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
12.504 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
12.507 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
12.511 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
12.511 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
12.511 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
12.511 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.511 * [taylor]: Taking taylor expansion of 4.0 in beta
12.511 * [backup-simplify]: Simplify 4.0 into 4.0
12.511 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.511 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.511 * [taylor]: Taking taylor expansion of i in beta
12.511 * [backup-simplify]: Simplify i into i
12.512 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.512 * [taylor]: Taking taylor expansion of beta in beta
12.512 * [backup-simplify]: Simplify 0 into 0
12.512 * [backup-simplify]: Simplify 1 into 1
12.512 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.512 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.512 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.512 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.512 * [taylor]: Taking taylor expansion of 2.0 in beta
12.512 * [backup-simplify]: Simplify 2.0 into 2.0
12.512 * [taylor]: Taking taylor expansion of i in beta
12.512 * [backup-simplify]: Simplify i into i
12.512 * [taylor]: Taking taylor expansion of beta in beta
12.512 * [backup-simplify]: Simplify 0 into 0
12.512 * [backup-simplify]: Simplify 1 into 1
12.512 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.512 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.512 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.512 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.512 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.512 * [taylor]: Taking taylor expansion of 2.0 in beta
12.512 * [backup-simplify]: Simplify 2.0 into 2.0
12.512 * [taylor]: Taking taylor expansion of i in beta
12.512 * [backup-simplify]: Simplify i into i
12.512 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.512 * [taylor]: Taking taylor expansion of beta in beta
12.512 * [backup-simplify]: Simplify 0 into 0
12.512 * [backup-simplify]: Simplify 1 into 1
12.512 * [taylor]: Taking taylor expansion of 2.0 in beta
12.512 * [backup-simplify]: Simplify 2.0 into 2.0
12.512 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.513 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.513 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.513 * [backup-simplify]: Simplify (* 1 1) into 1
12.513 * [backup-simplify]: Simplify (* i 1) into i
12.513 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.513 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.513 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.514 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.514 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
12.514 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.514 * [taylor]: Taking taylor expansion of 2 in beta
12.514 * [backup-simplify]: Simplify 2 into 2
12.514 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.514 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.514 * [taylor]: Taking taylor expansion of beta in beta
12.514 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify 1 into 1
12.514 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.514 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.514 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.514 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.514 * [taylor]: Taking taylor expansion of 2.0 in beta
12.514 * [backup-simplify]: Simplify 2.0 into 2.0
12.514 * [taylor]: Taking taylor expansion of i in beta
12.514 * [backup-simplify]: Simplify i into i
12.514 * [taylor]: Taking taylor expansion of beta in beta
12.514 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify 1 into 1
12.514 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.514 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.514 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.514 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.514 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.514 * [taylor]: Taking taylor expansion of 2.0 in beta
12.514 * [backup-simplify]: Simplify 2.0 into 2.0
12.514 * [taylor]: Taking taylor expansion of i in beta
12.514 * [backup-simplify]: Simplify i into i
12.514 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.514 * [taylor]: Taking taylor expansion of beta in beta
12.514 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify 1 into 1
12.514 * [taylor]: Taking taylor expansion of 2.0 in beta
12.514 * [backup-simplify]: Simplify 2.0 into 2.0
12.514 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.515 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.515 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.515 * [backup-simplify]: Simplify (* 1 1) into 1
12.515 * [backup-simplify]: Simplify (* 1 1) into 1
12.515 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.515 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.516 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.516 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.516 * [taylor]: Taking taylor expansion of 2.0 in beta
12.516 * [backup-simplify]: Simplify 2.0 into 2.0
12.516 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.516 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.516 * [taylor]: Taking taylor expansion of beta in beta
12.516 * [backup-simplify]: Simplify 0 into 0
12.516 * [backup-simplify]: Simplify 1 into 1
12.516 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.516 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.516 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.516 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.516 * [taylor]: Taking taylor expansion of 2.0 in beta
12.516 * [backup-simplify]: Simplify 2.0 into 2.0
12.516 * [taylor]: Taking taylor expansion of i in beta
12.516 * [backup-simplify]: Simplify i into i
12.516 * [taylor]: Taking taylor expansion of beta in beta
12.516 * [backup-simplify]: Simplify 0 into 0
12.516 * [backup-simplify]: Simplify 1 into 1
12.516 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.516 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.516 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.516 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.516 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.516 * [taylor]: Taking taylor expansion of 2.0 in beta
12.516 * [backup-simplify]: Simplify 2.0 into 2.0
12.516 * [taylor]: Taking taylor expansion of i in beta
12.516 * [backup-simplify]: Simplify i into i
12.516 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.516 * [taylor]: Taking taylor expansion of beta in beta
12.516 * [backup-simplify]: Simplify 0 into 0
12.516 * [backup-simplify]: Simplify 1 into 1
12.516 * [taylor]: Taking taylor expansion of 2.0 in beta
12.516 * [backup-simplify]: Simplify 2.0 into 2.0
12.516 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.517 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.517 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.517 * [backup-simplify]: Simplify (* 1 1) into 1
12.517 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.517 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.517 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.518 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.518 * [backup-simplify]: Simplify (+ 0 0) into 0
12.518 * [taylor]: Taking taylor expansion of 0 in i
12.518 * [backup-simplify]: Simplify 0 into 0
12.518 * [backup-simplify]: Simplify 0 into 0
12.518 * [backup-simplify]: Simplify 0 into 0
12.518 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
12.519 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.519 * [backup-simplify]: Simplify (+ 0 0) into 0
12.519 * [backup-simplify]: Simplify (+ 0 0) into 0
12.519 * [backup-simplify]: Simplify (+ 0 0) into 0
12.520 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.520 * [backup-simplify]: Simplify (+ 0 0) into 0
12.520 * [backup-simplify]: Simplify (+ 0 0) into 0
12.521 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
12.524 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
12.529 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
12.529 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
12.534 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
12.534 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
12.534 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
12.534 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.534 * [taylor]: Taking taylor expansion of 16.0 in beta
12.534 * [backup-simplify]: Simplify 16.0 into 16.0
12.534 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.534 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
12.534 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.534 * [taylor]: Taking taylor expansion of i in beta
12.534 * [backup-simplify]: Simplify i into i
12.534 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.534 * [taylor]: Taking taylor expansion of beta in beta
12.534 * [backup-simplify]: Simplify 0 into 0
12.534 * [backup-simplify]: Simplify 1 into 1
12.535 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.535 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.535 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.535 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.535 * [taylor]: Taking taylor expansion of 2.0 in beta
12.535 * [backup-simplify]: Simplify 2.0 into 2.0
12.535 * [taylor]: Taking taylor expansion of i in beta
12.535 * [backup-simplify]: Simplify i into i
12.535 * [taylor]: Taking taylor expansion of beta in beta
12.535 * [backup-simplify]: Simplify 0 into 0
12.535 * [backup-simplify]: Simplify 1 into 1
12.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.535 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.535 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.535 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.535 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.535 * [taylor]: Taking taylor expansion of 2.0 in beta
12.535 * [backup-simplify]: Simplify 2.0 into 2.0
12.535 * [taylor]: Taking taylor expansion of i in beta
12.535 * [backup-simplify]: Simplify i into i
12.535 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.535 * [taylor]: Taking taylor expansion of beta in beta
12.535 * [backup-simplify]: Simplify 0 into 0
12.535 * [backup-simplify]: Simplify 1 into 1
12.535 * [taylor]: Taking taylor expansion of 2.0 in beta
12.535 * [backup-simplify]: Simplify 2.0 into 2.0
12.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.535 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.535 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.536 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.536 * [backup-simplify]: Simplify (* 1 1) into 1
12.536 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
12.536 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.536 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.536 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.536 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.536 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.537 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
12.537 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
12.537 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.537 * [taylor]: Taking taylor expansion of 4 in beta
12.537 * [backup-simplify]: Simplify 4 into 4
12.537 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.537 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
12.537 * [taylor]: Taking taylor expansion of beta in beta
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.537 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.537 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.537 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.537 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.537 * [taylor]: Taking taylor expansion of 2.0 in beta
12.537 * [backup-simplify]: Simplify 2.0 into 2.0
12.537 * [taylor]: Taking taylor expansion of i in beta
12.537 * [backup-simplify]: Simplify i into i
12.537 * [taylor]: Taking taylor expansion of beta in beta
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.537 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.537 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.537 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.537 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.537 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.537 * [taylor]: Taking taylor expansion of 2.0 in beta
12.537 * [backup-simplify]: Simplify 2.0 into 2.0
12.537 * [taylor]: Taking taylor expansion of i in beta
12.537 * [backup-simplify]: Simplify i into i
12.537 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.537 * [taylor]: Taking taylor expansion of beta in beta
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.537 * [taylor]: Taking taylor expansion of 2.0 in beta
12.537 * [backup-simplify]: Simplify 2.0 into 2.0
12.537 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.538 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.538 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.538 * [backup-simplify]: Simplify (* 1 1) into 1
12.538 * [backup-simplify]: Simplify (* 1 1) into 1
12.538 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.538 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.539 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.539 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.539 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.539 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.539 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
12.539 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.539 * [taylor]: Taking taylor expansion of 8.0 in beta
12.539 * [backup-simplify]: Simplify 8.0 into 8.0
12.539 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.539 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.539 * [taylor]: Taking taylor expansion of beta in beta
12.539 * [backup-simplify]: Simplify 0 into 0
12.539 * [backup-simplify]: Simplify 1 into 1
12.539 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.539 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.539 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.539 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.539 * [taylor]: Taking taylor expansion of 2.0 in beta
12.539 * [backup-simplify]: Simplify 2.0 into 2.0
12.539 * [taylor]: Taking taylor expansion of i in beta
12.539 * [backup-simplify]: Simplify i into i
12.539 * [taylor]: Taking taylor expansion of beta in beta
12.539 * [backup-simplify]: Simplify 0 into 0
12.539 * [backup-simplify]: Simplify 1 into 1
12.539 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.540 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.540 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.540 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.540 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.540 * [taylor]: Taking taylor expansion of 2.0 in beta
12.540 * [backup-simplify]: Simplify 2.0 into 2.0
12.540 * [taylor]: Taking taylor expansion of i in beta
12.540 * [backup-simplify]: Simplify i into i
12.540 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.540 * [taylor]: Taking taylor expansion of beta in beta
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 1 into 1
12.540 * [taylor]: Taking taylor expansion of 2.0 in beta
12.540 * [backup-simplify]: Simplify 2.0 into 2.0
12.540 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.540 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.540 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.541 * [backup-simplify]: Simplify (* 1 1) into 1
12.541 * [backup-simplify]: Simplify (* 1 1) into 1
12.541 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.541 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.541 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.542 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.542 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.542 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.542 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
12.542 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.542 * [taylor]: Taking taylor expansion of 16.0 in beta
12.542 * [backup-simplify]: Simplify 16.0 into 16.0
12.543 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.543 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
12.543 * [taylor]: Taking taylor expansion of i in beta
12.543 * [backup-simplify]: Simplify i into i
12.543 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.543 * [taylor]: Taking taylor expansion of beta in beta
12.543 * [backup-simplify]: Simplify 0 into 0
12.543 * [backup-simplify]: Simplify 1 into 1
12.543 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.543 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.543 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.543 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.543 * [taylor]: Taking taylor expansion of 2.0 in beta
12.543 * [backup-simplify]: Simplify 2.0 into 2.0
12.543 * [taylor]: Taking taylor expansion of i in beta
12.543 * [backup-simplify]: Simplify i into i
12.543 * [taylor]: Taking taylor expansion of beta in beta
12.543 * [backup-simplify]: Simplify 0 into 0
12.543 * [backup-simplify]: Simplify 1 into 1
12.543 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.543 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.543 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.543 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.543 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.543 * [taylor]: Taking taylor expansion of 2.0 in beta
12.543 * [backup-simplify]: Simplify 2.0 into 2.0
12.543 * [taylor]: Taking taylor expansion of i in beta
12.543 * [backup-simplify]: Simplify i into i
12.543 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.543 * [taylor]: Taking taylor expansion of beta in beta
12.544 * [backup-simplify]: Simplify 0 into 0
12.544 * [backup-simplify]: Simplify 1 into 1
12.544 * [taylor]: Taking taylor expansion of 2.0 in beta
12.544 * [backup-simplify]: Simplify 2.0 into 2.0
12.544 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.544 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.544 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.545 * [backup-simplify]: Simplify (* 1 1) into 1
12.545 * [backup-simplify]: Simplify (* 1 1) into 1
12.545 * [backup-simplify]: Simplify (* i 1) into i
12.545 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.545 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.546 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.546 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.546 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.546 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.547 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
12.547 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.547 * [taylor]: Taking taylor expansion of 16.0 in beta
12.547 * [backup-simplify]: Simplify 16.0 into 16.0
12.547 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.547 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.547 * [taylor]: Taking taylor expansion of i in beta
12.547 * [backup-simplify]: Simplify i into i
12.547 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.547 * [taylor]: Taking taylor expansion of beta in beta
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify 1 into 1
12.547 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.547 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.547 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.547 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.547 * [taylor]: Taking taylor expansion of 2.0 in beta
12.547 * [backup-simplify]: Simplify 2.0 into 2.0
12.547 * [taylor]: Taking taylor expansion of i in beta
12.547 * [backup-simplify]: Simplify i into i
12.547 * [taylor]: Taking taylor expansion of beta in beta
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify 1 into 1
12.547 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.547 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.547 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.547 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.548 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.548 * [taylor]: Taking taylor expansion of 2.0 in beta
12.548 * [backup-simplify]: Simplify 2.0 into 2.0
12.548 * [taylor]: Taking taylor expansion of i in beta
12.548 * [backup-simplify]: Simplify i into i
12.548 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.548 * [taylor]: Taking taylor expansion of beta in beta
12.548 * [backup-simplify]: Simplify 0 into 0
12.548 * [backup-simplify]: Simplify 1 into 1
12.548 * [taylor]: Taking taylor expansion of 2.0 in beta
12.548 * [backup-simplify]: Simplify 2.0 into 2.0
12.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.548 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.548 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.549 * [backup-simplify]: Simplify (* 1 1) into 1
12.549 * [backup-simplify]: Simplify (* i 1) into i
12.549 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.549 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.549 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.550 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.550 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.550 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.550 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
12.550 * [taylor]: Taking taylor expansion of 4.0 in beta
12.550 * [backup-simplify]: Simplify 4.0 into 4.0
12.550 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
12.550 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.550 * [taylor]: Taking taylor expansion of beta in beta
12.551 * [backup-simplify]: Simplify 0 into 0
12.551 * [backup-simplify]: Simplify 1 into 1
12.551 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
12.551 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
12.551 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.551 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.551 * [taylor]: Taking taylor expansion of 2.0 in beta
12.551 * [backup-simplify]: Simplify 2.0 into 2.0
12.551 * [taylor]: Taking taylor expansion of i in beta
12.551 * [backup-simplify]: Simplify i into i
12.551 * [taylor]: Taking taylor expansion of beta in beta
12.551 * [backup-simplify]: Simplify 0 into 0
12.551 * [backup-simplify]: Simplify 1 into 1
12.551 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.551 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.551 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
12.551 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.551 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.551 * [taylor]: Taking taylor expansion of 2.0 in beta
12.551 * [backup-simplify]: Simplify 2.0 into 2.0
12.551 * [taylor]: Taking taylor expansion of i in beta
12.551 * [backup-simplify]: Simplify i into i
12.551 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.551 * [taylor]: Taking taylor expansion of beta in beta
12.551 * [backup-simplify]: Simplify 0 into 0
12.551 * [backup-simplify]: Simplify 1 into 1
12.551 * [taylor]: Taking taylor expansion of 2.0 in beta
12.551 * [backup-simplify]: Simplify 2.0 into 2.0
12.552 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.552 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.552 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.552 * [backup-simplify]: Simplify (* 1 1) into 1
12.553 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.553 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.553 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.553 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.554 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.554 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
12.554 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
12.554 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
12.554 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.554 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.554 * [taylor]: Taking taylor expansion of 2.0 in beta
12.554 * [backup-simplify]: Simplify 2.0 into 2.0
12.554 * [taylor]: Taking taylor expansion of i in beta
12.554 * [backup-simplify]: Simplify i into i
12.554 * [taylor]: Taking taylor expansion of beta in beta
12.554 * [backup-simplify]: Simplify 0 into 0
12.554 * [backup-simplify]: Simplify 1 into 1
12.554 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.554 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.554 * [taylor]: Taking taylor expansion of 2.0 in beta
12.554 * [backup-simplify]: Simplify 2.0 into 2.0
12.554 * [taylor]: Taking taylor expansion of i in beta
12.555 * [backup-simplify]: Simplify i into i
12.555 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.555 * [taylor]: Taking taylor expansion of beta in beta
12.555 * [backup-simplify]: Simplify 0 into 0
12.555 * [backup-simplify]: Simplify 1 into 1
12.555 * [taylor]: Taking taylor expansion of 2.0 in beta
12.555 * [backup-simplify]: Simplify 2.0 into 2.0
12.555 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.555 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.555 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.555 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.555 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.556 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
12.556 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
12.556 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
12.556 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.556 * [taylor]: Taking taylor expansion of beta in beta
12.556 * [backup-simplify]: Simplify 0 into 0
12.556 * [backup-simplify]: Simplify 1 into 1
12.556 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
12.556 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
12.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.556 * [taylor]: Taking taylor expansion of 2.0 in beta
12.556 * [backup-simplify]: Simplify 2.0 into 2.0
12.556 * [taylor]: Taking taylor expansion of i in beta
12.556 * [backup-simplify]: Simplify i into i
12.556 * [taylor]: Taking taylor expansion of beta in beta
12.556 * [backup-simplify]: Simplify 0 into 0
12.556 * [backup-simplify]: Simplify 1 into 1
12.556 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.556 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.556 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
12.557 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
12.557 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.557 * [taylor]: Taking taylor expansion of 2.0 in beta
12.557 * [backup-simplify]: Simplify 2.0 into 2.0
12.557 * [taylor]: Taking taylor expansion of i in beta
12.557 * [backup-simplify]: Simplify i into i
12.557 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
12.557 * [taylor]: Taking taylor expansion of beta in beta
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [backup-simplify]: Simplify 1 into 1
12.557 * [taylor]: Taking taylor expansion of 2.0 in beta
12.557 * [backup-simplify]: Simplify 2.0 into 2.0
12.557 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.557 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.557 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.558 * [backup-simplify]: Simplify (* 1 1) into 1
12.558 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.558 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.559 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.559 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.559 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
12.560 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
12.560 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
12.560 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
12.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
12.560 * [taylor]: Taking taylor expansion of 0.5 in i
12.560 * [backup-simplify]: Simplify 0.5 into 0.5
12.560 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
12.560 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
12.560 * [taylor]: Taking taylor expansion of i in i
12.560 * [backup-simplify]: Simplify 0 into 0
12.560 * [backup-simplify]: Simplify 1 into 1
12.560 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.560 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.560 * [taylor]: Taking taylor expansion of 2.0 in i
12.560 * [backup-simplify]: Simplify 2.0 into 2.0
12.560 * [taylor]: Taking taylor expansion of i in i
12.560 * [backup-simplify]: Simplify 0 into 0
12.560 * [backup-simplify]: Simplify 1 into 1
12.560 * [taylor]: Taking taylor expansion of 2.0 in i
12.560 * [backup-simplify]: Simplify 2.0 into 2.0
12.561 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.561 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.562 * [backup-simplify]: Simplify (* 0 2.0) into 0
12.563 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.564 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.565 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
12.565 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
12.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.566 * [backup-simplify]: Simplify (+ 0 0) into 0
12.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
12.568 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
12.570 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
12.570 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
12.570 * [backup-simplify]: Simplify 0.25 into 0.25
12.570 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
12.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
12.570 * [taylor]: Taking taylor expansion of 0.5 in i
12.570 * [backup-simplify]: Simplify 0.5 into 0.5
12.570 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
12.570 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
12.570 * [taylor]: Taking taylor expansion of i in i
12.570 * [backup-simplify]: Simplify 0 into 0
12.570 * [backup-simplify]: Simplify 1 into 1
12.570 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.570 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.570 * [taylor]: Taking taylor expansion of 2.0 in i
12.570 * [backup-simplify]: Simplify 2.0 into 2.0
12.570 * [taylor]: Taking taylor expansion of i in i
12.571 * [backup-simplify]: Simplify 0 into 0
12.571 * [backup-simplify]: Simplify 1 into 1
12.571 * [taylor]: Taking taylor expansion of 2.0 in i
12.571 * [backup-simplify]: Simplify 2.0 into 2.0
12.571 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.571 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.571 * [backup-simplify]: Simplify (* 0 2.0) into 0
12.573 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.573 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.574 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
12.575 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
12.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.576 * [backup-simplify]: Simplify (+ 0 0) into 0
12.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
12.581 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
12.582 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
12.583 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
12.584 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
12.585 * [backup-simplify]: Simplify (cbrt (pow (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) 1.0) 3)) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
12.585 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
12.585 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
12.585 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
12.585 * [taylor]: Taking taylor expansion of 1.0 in i
12.585 * [backup-simplify]: Simplify 1.0 into 1.0
12.585 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
12.585 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
12.585 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
12.585 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.585 * [taylor]: Taking taylor expansion of alpha in i
12.585 * [backup-simplify]: Simplify alpha into alpha
12.585 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.585 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
12.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.585 * [taylor]: Taking taylor expansion of 2.0 in i
12.585 * [backup-simplify]: Simplify 2.0 into 2.0
12.586 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.586 * [taylor]: Taking taylor expansion of i in i
12.586 * [backup-simplify]: Simplify 0 into 0
12.586 * [backup-simplify]: Simplify 1 into 1
12.586 * [backup-simplify]: Simplify (/ 1 1) into 1
12.586 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
12.586 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.586 * [taylor]: Taking taylor expansion of beta in i
12.586 * [backup-simplify]: Simplify beta into beta
12.586 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.586 * [taylor]: Taking taylor expansion of 2.0 in i
12.586 * [backup-simplify]: Simplify 2.0 into 2.0
12.586 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
12.586 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.586 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.586 * [taylor]: Taking taylor expansion of alpha in i
12.586 * [backup-simplify]: Simplify alpha into alpha
12.586 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.586 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.586 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.587 * [taylor]: Taking taylor expansion of 2.0 in i
12.587 * [backup-simplify]: Simplify 2.0 into 2.0
12.587 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.587 * [taylor]: Taking taylor expansion of i in i
12.587 * [backup-simplify]: Simplify 0 into 0
12.587 * [backup-simplify]: Simplify 1 into 1
12.587 * [backup-simplify]: Simplify (/ 1 1) into 1
12.587 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.587 * [taylor]: Taking taylor expansion of beta in i
12.587 * [backup-simplify]: Simplify beta into beta
12.587 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.587 * [taylor]: Taking taylor expansion of (pow beta 2) in i
12.587 * [taylor]: Taking taylor expansion of beta in i
12.587 * [backup-simplify]: Simplify beta into beta
12.588 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.588 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.588 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.589 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.589 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.590 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.590 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.590 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
12.590 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
12.590 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
12.590 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
12.590 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
12.590 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
12.590 * [taylor]: Taking taylor expansion of alpha in i
12.590 * [backup-simplify]: Simplify alpha into alpha
12.590 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
12.590 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.590 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.590 * [taylor]: Taking taylor expansion of alpha in i
12.591 * [backup-simplify]: Simplify alpha into alpha
12.591 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.591 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.591 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.591 * [taylor]: Taking taylor expansion of 2.0 in i
12.591 * [backup-simplify]: Simplify 2.0 into 2.0
12.591 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.591 * [taylor]: Taking taylor expansion of i in i
12.591 * [backup-simplify]: Simplify 0 into 0
12.591 * [backup-simplify]: Simplify 1 into 1
12.591 * [backup-simplify]: Simplify (/ 1 1) into 1
12.591 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.591 * [taylor]: Taking taylor expansion of beta in i
12.591 * [backup-simplify]: Simplify beta into beta
12.591 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.591 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
12.591 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.591 * [taylor]: Taking taylor expansion of alpha in i
12.591 * [backup-simplify]: Simplify alpha into alpha
12.591 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.592 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
12.592 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.592 * [taylor]: Taking taylor expansion of 2.0 in i
12.592 * [backup-simplify]: Simplify 2.0 into 2.0
12.592 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.592 * [taylor]: Taking taylor expansion of i in i
12.592 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify 1 into 1
12.592 * [backup-simplify]: Simplify (/ 1 1) into 1
12.592 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
12.592 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.592 * [taylor]: Taking taylor expansion of beta in i
12.592 * [backup-simplify]: Simplify beta into beta
12.592 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.592 * [taylor]: Taking taylor expansion of 2.0 in i
12.592 * [backup-simplify]: Simplify 2.0 into 2.0
12.592 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.593 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.593 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.594 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.594 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.594 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.595 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.595 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.595 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
12.595 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
12.596 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
12.596 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
12.596 * [taylor]: Taking taylor expansion of 1.0 in beta
12.596 * [backup-simplify]: Simplify 1.0 into 1.0
12.596 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
12.596 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
12.596 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
12.596 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.596 * [taylor]: Taking taylor expansion of alpha in beta
12.596 * [backup-simplify]: Simplify alpha into alpha
12.596 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.596 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
12.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.596 * [taylor]: Taking taylor expansion of 2.0 in beta
12.596 * [backup-simplify]: Simplify 2.0 into 2.0
12.596 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.596 * [taylor]: Taking taylor expansion of i in beta
12.596 * [backup-simplify]: Simplify i into i
12.596 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.596 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
12.596 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.596 * [taylor]: Taking taylor expansion of beta in beta
12.596 * [backup-simplify]: Simplify 0 into 0
12.596 * [backup-simplify]: Simplify 1 into 1
12.597 * [backup-simplify]: Simplify (/ 1 1) into 1
12.597 * [taylor]: Taking taylor expansion of 2.0 in beta
12.597 * [backup-simplify]: Simplify 2.0 into 2.0
12.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
12.597 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.597 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.597 * [taylor]: Taking taylor expansion of alpha in beta
12.597 * [backup-simplify]: Simplify alpha into alpha
12.597 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.597 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.597 * [taylor]: Taking taylor expansion of 2.0 in beta
12.597 * [backup-simplify]: Simplify 2.0 into 2.0
12.597 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.597 * [taylor]: Taking taylor expansion of i in beta
12.597 * [backup-simplify]: Simplify i into i
12.597 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.597 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.597 * [taylor]: Taking taylor expansion of beta in beta
12.597 * [backup-simplify]: Simplify 0 into 0
12.597 * [backup-simplify]: Simplify 1 into 1
12.597 * [backup-simplify]: Simplify (/ 1 1) into 1
12.597 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.597 * [taylor]: Taking taylor expansion of beta in beta
12.597 * [backup-simplify]: Simplify 0 into 0
12.597 * [backup-simplify]: Simplify 1 into 1
12.598 * [backup-simplify]: Simplify (+ 1 0) into 1
12.598 * [backup-simplify]: Simplify (+ 0 1) into 1
12.598 * [backup-simplify]: Simplify (+ 0 1) into 1
12.598 * [backup-simplify]: Simplify (+ 0 1) into 1
12.599 * [backup-simplify]: Simplify (+ 0 1) into 1
12.599 * [backup-simplify]: Simplify (* 1 1) into 1
12.599 * [backup-simplify]: Simplify (* 1 1) into 1
12.599 * [backup-simplify]: Simplify (* 1 1) into 1
12.599 * [backup-simplify]: Simplify (/ 1 1) into 1
12.599 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
12.599 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
12.600 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
12.600 * [taylor]: Taking taylor expansion of alpha in beta
12.600 * [backup-simplify]: Simplify alpha into alpha
12.600 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
12.600 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.600 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.600 * [taylor]: Taking taylor expansion of alpha in beta
12.600 * [backup-simplify]: Simplify alpha into alpha
12.600 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.600 * [taylor]: Taking taylor expansion of 2.0 in beta
12.600 * [backup-simplify]: Simplify 2.0 into 2.0
12.600 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.600 * [taylor]: Taking taylor expansion of i in beta
12.600 * [backup-simplify]: Simplify i into i
12.600 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.600 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.600 * [taylor]: Taking taylor expansion of beta in beta
12.600 * [backup-simplify]: Simplify 0 into 0
12.600 * [backup-simplify]: Simplify 1 into 1
12.600 * [backup-simplify]: Simplify (/ 1 1) into 1
12.600 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
12.600 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.600 * [taylor]: Taking taylor expansion of alpha in beta
12.600 * [backup-simplify]: Simplify alpha into alpha
12.600 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
12.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.600 * [taylor]: Taking taylor expansion of 2.0 in beta
12.600 * [backup-simplify]: Simplify 2.0 into 2.0
12.600 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.600 * [taylor]: Taking taylor expansion of i in beta
12.600 * [backup-simplify]: Simplify i into i
12.600 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.600 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
12.601 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.601 * [taylor]: Taking taylor expansion of beta in beta
12.601 * [backup-simplify]: Simplify 0 into 0
12.601 * [backup-simplify]: Simplify 1 into 1
12.601 * [backup-simplify]: Simplify (/ 1 1) into 1
12.601 * [taylor]: Taking taylor expansion of 2.0 in beta
12.601 * [backup-simplify]: Simplify 2.0 into 2.0
12.601 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.601 * [backup-simplify]: Simplify (+ 0 1) into 1
12.601 * [backup-simplify]: Simplify (+ 0 1) into 1
12.606 * [backup-simplify]: Simplify (+ 1 0) into 1
12.606 * [backup-simplify]: Simplify (+ 0 1) into 1
12.607 * [backup-simplify]: Simplify (+ 0 1) into 1
12.607 * [backup-simplify]: Simplify (* 1 1) into 1
12.607 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
12.607 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
12.607 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
12.607 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
12.607 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.607 * [backup-simplify]: Simplify 1.0 into 1.0
12.607 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
12.607 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
12.607 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.607 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.607 * [taylor]: Taking taylor expansion of alpha in alpha
12.607 * [backup-simplify]: Simplify 0 into 0
12.607 * [backup-simplify]: Simplify 1 into 1
12.608 * [backup-simplify]: Simplify (/ 1 1) into 1
12.608 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.608 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.608 * [backup-simplify]: Simplify 2.0 into 2.0
12.608 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.608 * [taylor]: Taking taylor expansion of i in alpha
12.608 * [backup-simplify]: Simplify i into i
12.608 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.608 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.608 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.608 * [taylor]: Taking taylor expansion of beta in alpha
12.608 * [backup-simplify]: Simplify beta into beta
12.608 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.608 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.608 * [backup-simplify]: Simplify 2.0 into 2.0
12.608 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
12.608 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.608 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.608 * [taylor]: Taking taylor expansion of alpha in alpha
12.608 * [backup-simplify]: Simplify 0 into 0
12.608 * [backup-simplify]: Simplify 1 into 1
12.608 * [backup-simplify]: Simplify (/ 1 1) into 1
12.608 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.608 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.608 * [backup-simplify]: Simplify 2.0 into 2.0
12.608 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.608 * [taylor]: Taking taylor expansion of i in alpha
12.608 * [backup-simplify]: Simplify i into i
12.608 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.609 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.609 * [taylor]: Taking taylor expansion of beta in alpha
12.609 * [backup-simplify]: Simplify beta into beta
12.609 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.609 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.609 * [taylor]: Taking taylor expansion of beta in alpha
12.609 * [backup-simplify]: Simplify beta into beta
12.609 * [backup-simplify]: Simplify (+ 1 0) into 1
12.609 * [backup-simplify]: Simplify (+ 1 0) into 1
12.609 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.609 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.610 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.610 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
12.610 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
12.610 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
12.610 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.610 * [taylor]: Taking taylor expansion of alpha in alpha
12.610 * [backup-simplify]: Simplify 0 into 0
12.610 * [backup-simplify]: Simplify 1 into 1
12.610 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
12.610 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.610 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.610 * [taylor]: Taking taylor expansion of alpha in alpha
12.610 * [backup-simplify]: Simplify 0 into 0
12.610 * [backup-simplify]: Simplify 1 into 1
12.610 * [backup-simplify]: Simplify (/ 1 1) into 1
12.610 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.610 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.610 * [backup-simplify]: Simplify 2.0 into 2.0
12.610 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.610 * [taylor]: Taking taylor expansion of i in alpha
12.610 * [backup-simplify]: Simplify i into i
12.610 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.610 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.610 * [taylor]: Taking taylor expansion of beta in alpha
12.610 * [backup-simplify]: Simplify beta into beta
12.610 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.611 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.611 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.611 * [taylor]: Taking taylor expansion of alpha in alpha
12.611 * [backup-simplify]: Simplify 0 into 0
12.611 * [backup-simplify]: Simplify 1 into 1
12.611 * [backup-simplify]: Simplify (/ 1 1) into 1
12.611 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.611 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.611 * [backup-simplify]: Simplify 2.0 into 2.0
12.611 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.611 * [taylor]: Taking taylor expansion of i in alpha
12.611 * [backup-simplify]: Simplify i into i
12.611 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.611 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.611 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.611 * [taylor]: Taking taylor expansion of beta in alpha
12.611 * [backup-simplify]: Simplify beta into beta
12.611 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.612 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.612 * [backup-simplify]: Simplify 2.0 into 2.0
12.612 * [backup-simplify]: Simplify (* 1 1) into 1
12.612 * [backup-simplify]: Simplify (+ 1 0) into 1
12.613 * [backup-simplify]: Simplify (+ 1 0) into 1
12.613 * [backup-simplify]: Simplify (* 1 1) into 1
12.613 * [backup-simplify]: Simplify (* 1 1) into 1
12.614 * [backup-simplify]: Simplify (/ 1 1) into 1
12.614 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
12.614 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
12.614 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.614 * [backup-simplify]: Simplify 1.0 into 1.0
12.614 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
12.614 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
12.614 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.614 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.614 * [taylor]: Taking taylor expansion of alpha in alpha
12.614 * [backup-simplify]: Simplify 0 into 0
12.614 * [backup-simplify]: Simplify 1 into 1
12.615 * [backup-simplify]: Simplify (/ 1 1) into 1
12.615 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.615 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.615 * [backup-simplify]: Simplify 2.0 into 2.0
12.615 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.615 * [taylor]: Taking taylor expansion of i in alpha
12.615 * [backup-simplify]: Simplify i into i
12.615 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.615 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.615 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.615 * [taylor]: Taking taylor expansion of beta in alpha
12.615 * [backup-simplify]: Simplify beta into beta
12.615 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.615 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.615 * [backup-simplify]: Simplify 2.0 into 2.0
12.615 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
12.615 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.615 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.615 * [taylor]: Taking taylor expansion of alpha in alpha
12.615 * [backup-simplify]: Simplify 0 into 0
12.615 * [backup-simplify]: Simplify 1 into 1
12.616 * [backup-simplify]: Simplify (/ 1 1) into 1
12.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.616 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.616 * [backup-simplify]: Simplify 2.0 into 2.0
12.616 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.616 * [taylor]: Taking taylor expansion of i in alpha
12.616 * [backup-simplify]: Simplify i into i
12.616 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.616 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.616 * [taylor]: Taking taylor expansion of beta in alpha
12.616 * [backup-simplify]: Simplify beta into beta
12.616 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.616 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.616 * [taylor]: Taking taylor expansion of beta in alpha
12.616 * [backup-simplify]: Simplify beta into beta
12.617 * [backup-simplify]: Simplify (+ 1 0) into 1
12.617 * [backup-simplify]: Simplify (+ 1 0) into 1
12.617 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.617 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.618 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.618 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
12.618 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
12.618 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
12.618 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.618 * [taylor]: Taking taylor expansion of alpha in alpha
12.618 * [backup-simplify]: Simplify 0 into 0
12.618 * [backup-simplify]: Simplify 1 into 1
12.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
12.618 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.618 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.618 * [taylor]: Taking taylor expansion of alpha in alpha
12.618 * [backup-simplify]: Simplify 0 into 0
12.618 * [backup-simplify]: Simplify 1 into 1
12.619 * [backup-simplify]: Simplify (/ 1 1) into 1
12.619 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.619 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.619 * [backup-simplify]: Simplify 2.0 into 2.0
12.619 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.619 * [taylor]: Taking taylor expansion of i in alpha
12.619 * [backup-simplify]: Simplify i into i
12.619 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.619 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.619 * [taylor]: Taking taylor expansion of beta in alpha
12.619 * [backup-simplify]: Simplify beta into beta
12.619 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.619 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.619 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.619 * [taylor]: Taking taylor expansion of alpha in alpha
12.619 * [backup-simplify]: Simplify 0 into 0
12.619 * [backup-simplify]: Simplify 1 into 1
12.620 * [backup-simplify]: Simplify (/ 1 1) into 1
12.620 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.620 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.620 * [backup-simplify]: Simplify 2.0 into 2.0
12.620 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.620 * [taylor]: Taking taylor expansion of i in alpha
12.620 * [backup-simplify]: Simplify i into i
12.620 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.620 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.620 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.620 * [taylor]: Taking taylor expansion of beta in alpha
12.620 * [backup-simplify]: Simplify beta into beta
12.620 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.620 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.620 * [backup-simplify]: Simplify 2.0 into 2.0
12.620 * [backup-simplify]: Simplify (* 1 1) into 1
12.621 * [backup-simplify]: Simplify (+ 1 0) into 1
12.621 * [backup-simplify]: Simplify (+ 1 0) into 1
12.622 * [backup-simplify]: Simplify (* 1 1) into 1
12.622 * [backup-simplify]: Simplify (* 1 1) into 1
12.622 * [backup-simplify]: Simplify (/ 1 1) into 1
12.623 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
12.623 * [backup-simplify]: Simplify (- 1) into -1
12.624 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
12.624 * [taylor]: Taking taylor expansion of 0 in beta
12.624 * [backup-simplify]: Simplify 0 into 0
12.624 * [taylor]: Taking taylor expansion of 0 in i
12.624 * [backup-simplify]: Simplify 0 into 0
12.624 * [backup-simplify]: Simplify 0 into 0
12.624 * [backup-simplify]: Simplify (+ 0 0) into 0
12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.625 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.625 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
12.626 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
12.626 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
12.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.627 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.627 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.627 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.628 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
12.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.629 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
12.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
12.630 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
12.630 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
12.630 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
12.630 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
12.630 * [taylor]: Taking taylor expansion of 4.0 in beta
12.630 * [backup-simplify]: Simplify 4.0 into 4.0
12.630 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.630 * [taylor]: Taking taylor expansion of i in beta
12.630 * [backup-simplify]: Simplify i into i
12.630 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.630 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
12.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
12.630 * [taylor]: Taking taylor expansion of 2 in beta
12.630 * [backup-simplify]: Simplify 2 into 2
12.630 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.630 * [taylor]: Taking taylor expansion of beta in beta
12.630 * [backup-simplify]: Simplify 0 into 0
12.631 * [backup-simplify]: Simplify 1 into 1
12.631 * [backup-simplify]: Simplify (/ 1 1) into 1
12.631 * [taylor]: Taking taylor expansion of 2.0 in beta
12.631 * [backup-simplify]: Simplify 2.0 into 2.0
12.631 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
12.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.633 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.633 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.633 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
12.633 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
12.633 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
12.633 * [taylor]: Taking taylor expansion of 4.0 in i
12.633 * [backup-simplify]: Simplify 4.0 into 4.0
12.633 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.633 * [taylor]: Taking taylor expansion of i in i
12.633 * [backup-simplify]: Simplify 0 into 0
12.633 * [backup-simplify]: Simplify 1 into 1
12.634 * [backup-simplify]: Simplify (/ 1 1) into 1
12.634 * [taylor]: Taking taylor expansion of 2.0 in i
12.634 * [backup-simplify]: Simplify 2.0 into 2.0
12.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.635 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
12.636 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.636 * [backup-simplify]: Simplify 2.0 into 2.0
12.636 * [taylor]: Taking taylor expansion of 0 in i
12.636 * [backup-simplify]: Simplify 0 into 0
12.636 * [backup-simplify]: Simplify 0 into 0
12.636 * [backup-simplify]: Simplify 0 into 0
12.636 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.638 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.638 * [backup-simplify]: Simplify (+ 0 0) into 0
12.639 * [backup-simplify]: Simplify (+ 0 0) into 0
12.639 * [backup-simplify]: Simplify (+ 0 0) into 0
12.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.640 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.641 * [backup-simplify]: Simplify (+ 0 0) into 0
12.641 * [backup-simplify]: Simplify (+ 0 0) into 0
12.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
12.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.643 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
12.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
12.645 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
12.646 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
12.646 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
12.646 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
12.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
12.646 * [taylor]: Taking taylor expansion of 2 in beta
12.646 * [backup-simplify]: Simplify 2 into 2
12.646 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.646 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.646 * [taylor]: Taking taylor expansion of beta in beta
12.646 * [backup-simplify]: Simplify 0 into 0
12.646 * [backup-simplify]: Simplify 1 into 1
12.646 * [backup-simplify]: Simplify (* 1 1) into 1
12.647 * [backup-simplify]: Simplify (/ 1 1) into 1
12.647 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
12.647 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
12.647 * [taylor]: Taking taylor expansion of 12.0 in beta
12.647 * [backup-simplify]: Simplify 12.0 into 12.0
12.647 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.647 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.647 * [taylor]: Taking taylor expansion of i in beta
12.647 * [backup-simplify]: Simplify i into i
12.647 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.647 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.647 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
12.647 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
12.647 * [taylor]: Taking taylor expansion of 6.0 in beta
12.647 * [backup-simplify]: Simplify 6.0 into 6.0
12.647 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.647 * [taylor]: Taking taylor expansion of beta in beta
12.647 * [backup-simplify]: Simplify 0 into 0
12.647 * [backup-simplify]: Simplify 1 into 1
12.647 * [backup-simplify]: Simplify (/ 1 1) into 1
12.647 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
12.647 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
12.647 * [taylor]: Taking taylor expansion of 12.0 in beta
12.647 * [backup-simplify]: Simplify 12.0 into 12.0
12.647 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.647 * [taylor]: Taking taylor expansion of i in beta
12.647 * [backup-simplify]: Simplify i into i
12.647 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.647 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
12.647 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
12.648 * [taylor]: Taking taylor expansion of 12.0 in beta
12.648 * [backup-simplify]: Simplify 12.0 into 12.0
12.648 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.648 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.648 * [taylor]: Taking taylor expansion of i in beta
12.648 * [backup-simplify]: Simplify i into i
12.648 * [taylor]: Taking taylor expansion of beta in beta
12.648 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify 1 into 1
12.648 * [backup-simplify]: Simplify (* i 0) into 0
12.648 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.648 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.648 * [taylor]: Taking taylor expansion of 4.0 in beta
12.648 * [backup-simplify]: Simplify 4.0 into 4.0
12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.650 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
12.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.651 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
12.651 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
12.652 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.652 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.652 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.653 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
12.653 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
12.653 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
12.653 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
12.653 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
12.653 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
12.653 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
12.653 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
12.653 * [taylor]: Taking taylor expansion of 12.0 in i
12.653 * [backup-simplify]: Simplify 12.0 into 12.0
12.653 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.653 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.653 * [taylor]: Taking taylor expansion of i in i
12.653 * [backup-simplify]: Simplify 0 into 0
12.653 * [backup-simplify]: Simplify 1 into 1
12.654 * [backup-simplify]: Simplify (* 1 1) into 1
12.654 * [backup-simplify]: Simplify (/ 1 1) into 1
12.654 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
12.654 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
12.654 * [taylor]: Taking taylor expansion of 12.0 in i
12.654 * [backup-simplify]: Simplify 12.0 into 12.0
12.654 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.654 * [taylor]: Taking taylor expansion of i in i
12.654 * [backup-simplify]: Simplify 0 into 0
12.654 * [backup-simplify]: Simplify 1 into 1
12.654 * [backup-simplify]: Simplify (/ 1 1) into 1
12.654 * [taylor]: Taking taylor expansion of 4.0 in i
12.654 * [backup-simplify]: Simplify 4.0 into 4.0
12.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.657 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
12.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.657 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
12.658 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.658 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.658 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.658 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.659 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.660 * [backup-simplify]: Simplify (+ 0 0) into 0
12.661 * [backup-simplify]: Simplify (+ 0 0) into 0
12.661 * [taylor]: Taking taylor expansion of 0 in i
12.661 * [backup-simplify]: Simplify 0 into 0
12.661 * [backup-simplify]: Simplify 0 into 0
12.661 * [taylor]: Taking taylor expansion of 0 in i
12.661 * [backup-simplify]: Simplify 0 into 0
12.661 * [backup-simplify]: Simplify 0 into 0
12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.662 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
12.662 * [backup-simplify]: Simplify (+ 0 0) into 0
12.662 * [backup-simplify]: Simplify 0 into 0
12.662 * [backup-simplify]: Simplify 0 into 0
12.662 * [backup-simplify]: Simplify 0 into 0
12.662 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
12.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.663 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.663 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.663 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.663 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
12.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.664 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.664 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
12.664 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
12.664 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
12.665 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
12.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
12.667 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
12.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.669 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.669 * [backup-simplify]: Simplify (+ 0 0) into 0
12.670 * [backup-simplify]: Simplify (+ 0 0) into 0
12.670 * [backup-simplify]: Simplify (+ 0 0) into 0
12.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.672 * [backup-simplify]: Simplify (+ 0 0) into 0
12.673 * [backup-simplify]: Simplify (+ 0 0) into 0
12.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
12.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
12.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
12.684 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
12.688 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
12.688 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
12.688 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
12.688 * [taylor]: Taking taylor expansion of 20.0 in beta
12.688 * [backup-simplify]: Simplify 20.0 into 20.0
12.688 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
12.688 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.688 * [taylor]: Taking taylor expansion of i in beta
12.688 * [backup-simplify]: Simplify i into i
12.688 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.688 * [taylor]: Taking taylor expansion of beta in beta
12.688 * [backup-simplify]: Simplify 0 into 0
12.688 * [backup-simplify]: Simplify 1 into 1
12.689 * [backup-simplify]: Simplify (* 1 1) into 1
12.689 * [backup-simplify]: Simplify (* i 1) into i
12.689 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.689 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
12.689 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
12.689 * [taylor]: Taking taylor expansion of 48.0 in beta
12.689 * [backup-simplify]: Simplify 48.0 into 48.0
12.689 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.689 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.689 * [taylor]: Taking taylor expansion of i in beta
12.689 * [backup-simplify]: Simplify i into i
12.689 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.689 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.689 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
12.689 * [taylor]: Taking taylor expansion of 8.0 in beta
12.689 * [backup-simplify]: Simplify 8.0 into 8.0
12.689 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
12.690 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
12.690 * [taylor]: Taking taylor expansion of 10.0 in beta
12.690 * [backup-simplify]: Simplify 10.0 into 10.0
12.690 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.690 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.690 * [taylor]: Taking taylor expansion of beta in beta
12.690 * [backup-simplify]: Simplify 0 into 0
12.690 * [backup-simplify]: Simplify 1 into 1
12.690 * [backup-simplify]: Simplify (* 1 1) into 1
12.690 * [backup-simplify]: Simplify (/ 1 1) into 1
12.691 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
12.691 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
12.691 * [taylor]: Taking taylor expansion of 48.0 in beta
12.691 * [backup-simplify]: Simplify 48.0 into 48.0
12.691 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.691 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.691 * [taylor]: Taking taylor expansion of i in beta
12.691 * [backup-simplify]: Simplify i into i
12.691 * [taylor]: Taking taylor expansion of beta in beta
12.691 * [backup-simplify]: Simplify 0 into 0
12.691 * [backup-simplify]: Simplify 1 into 1
12.691 * [backup-simplify]: Simplify (* i 0) into 0
12.691 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.691 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.691 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
12.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
12.691 * [taylor]: Taking taylor expansion of 2 in beta
12.691 * [backup-simplify]: Simplify 2 into 2
12.691 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
12.692 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.692 * [taylor]: Taking taylor expansion of beta in beta
12.692 * [backup-simplify]: Simplify 0 into 0
12.692 * [backup-simplify]: Simplify 1 into 1
12.692 * [backup-simplify]: Simplify (* 1 1) into 1
12.692 * [backup-simplify]: Simplify (* 1 1) into 1
12.693 * [backup-simplify]: Simplify (/ 1 1) into 1
12.693 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
12.693 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
12.693 * [taylor]: Taking taylor expansion of 48.0 in beta
12.693 * [backup-simplify]: Simplify 48.0 into 48.0
12.693 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
12.693 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
12.693 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.693 * [taylor]: Taking taylor expansion of i in beta
12.693 * [backup-simplify]: Simplify i into i
12.693 * [taylor]: Taking taylor expansion of beta in beta
12.693 * [backup-simplify]: Simplify 0 into 0
12.693 * [backup-simplify]: Simplify 1 into 1
12.693 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.693 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
12.693 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.694 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
12.694 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.694 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
12.694 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
12.694 * [taylor]: Taking taylor expansion of 32.0 in beta
12.694 * [backup-simplify]: Simplify 32.0 into 32.0
12.694 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.694 * [taylor]: Taking taylor expansion of i in beta
12.694 * [backup-simplify]: Simplify i into i
12.694 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.694 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
12.694 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
12.694 * [taylor]: Taking taylor expansion of 16.0 in beta
12.694 * [backup-simplify]: Simplify 16.0 into 16.0
12.694 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.694 * [taylor]: Taking taylor expansion of beta in beta
12.694 * [backup-simplify]: Simplify 0 into 0
12.694 * [backup-simplify]: Simplify 1 into 1
12.695 * [backup-simplify]: Simplify (/ 1 1) into 1
12.695 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
12.695 * [taylor]: Taking taylor expansion of 32.0 in beta
12.695 * [backup-simplify]: Simplify 32.0 into 32.0
12.695 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
12.695 * [taylor]: Taking taylor expansion of (pow i 3) in beta
12.695 * [taylor]: Taking taylor expansion of i in beta
12.695 * [backup-simplify]: Simplify i into i
12.695 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.695 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
12.695 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
12.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.697 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
12.698 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
12.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.699 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.699 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
12.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.702 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
12.702 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.703 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
12.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.708 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
12.708 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
12.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
12.709 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
12.709 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
12.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.711 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
12.711 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
12.711 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
12.711 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
12.712 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.712 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.712 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.713 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.713 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
12.713 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
12.714 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
12.714 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
12.714 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
12.714 * [taylor]: Taking taylor expansion of 48.0 in i
12.714 * [backup-simplify]: Simplify 48.0 into 48.0
12.714 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.714 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.714 * [taylor]: Taking taylor expansion of i in i
12.714 * [backup-simplify]: Simplify 0 into 0
12.714 * [backup-simplify]: Simplify 1 into 1
12.715 * [backup-simplify]: Simplify (* 1 1) into 1
12.715 * [backup-simplify]: Simplify (/ 1 1) into 1
12.715 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
12.715 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
12.715 * [taylor]: Taking taylor expansion of 32.0 in i
12.715 * [backup-simplify]: Simplify 32.0 into 32.0
12.715 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
12.715 * [taylor]: Taking taylor expansion of (pow i 3) in i
12.715 * [taylor]: Taking taylor expansion of i in i
12.715 * [backup-simplify]: Simplify 0 into 0
12.715 * [backup-simplify]: Simplify 1 into 1
12.716 * [backup-simplify]: Simplify (* 1 1) into 1
12.716 * [backup-simplify]: Simplify (* 1 1) into 1
12.716 * [backup-simplify]: Simplify (/ 1 1) into 1
12.716 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
12.716 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
12.716 * [taylor]: Taking taylor expansion of 32.0 in i
12.717 * [backup-simplify]: Simplify 32.0 into 32.0
12.717 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.717 * [taylor]: Taking taylor expansion of i in i
12.717 * [backup-simplify]: Simplify 0 into 0
12.717 * [backup-simplify]: Simplify 1 into 1
12.717 * [backup-simplify]: Simplify (/ 1 1) into 1
12.717 * [taylor]: Taking taylor expansion of 8.0 in i
12.717 * [backup-simplify]: Simplify 8.0 into 8.0
12.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.721 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
12.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.736 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.737 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
12.738 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
12.738 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
12.739 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
12.739 * [backup-simplify]: Simplify 8.0 into 8.0
12.740 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
12.741 * [backup-simplify]: Simplify (cbrt (pow (+ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) 1.0) 3)) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
12.741 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
12.741 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
12.741 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
12.741 * [taylor]: Taking taylor expansion of 1.0 in i
12.741 * [backup-simplify]: Simplify 1.0 into 1.0
12.741 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
12.741 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
12.741 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
12.741 * [taylor]: Taking taylor expansion of alpha in i
12.741 * [backup-simplify]: Simplify alpha into alpha
12.741 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.741 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.741 * [taylor]: Taking taylor expansion of 2.0 in i
12.741 * [backup-simplify]: Simplify 2.0 into 2.0
12.741 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.741 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.741 * [taylor]: Taking taylor expansion of alpha in i
12.741 * [backup-simplify]: Simplify alpha into alpha
12.741 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.741 * [taylor]: Taking taylor expansion of 2.0 in i
12.742 * [backup-simplify]: Simplify 2.0 into 2.0
12.742 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.742 * [taylor]: Taking taylor expansion of i in i
12.742 * [backup-simplify]: Simplify 0 into 0
12.742 * [backup-simplify]: Simplify 1 into 1
12.742 * [backup-simplify]: Simplify (/ 1 1) into 1
12.742 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.742 * [taylor]: Taking taylor expansion of beta in i
12.742 * [backup-simplify]: Simplify beta into beta
12.742 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.742 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.742 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.742 * [taylor]: Taking taylor expansion of alpha in i
12.742 * [backup-simplify]: Simplify alpha into alpha
12.742 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.742 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.742 * [taylor]: Taking taylor expansion of 2.0 in i
12.742 * [backup-simplify]: Simplify 2.0 into 2.0
12.742 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.742 * [taylor]: Taking taylor expansion of i in i
12.742 * [backup-simplify]: Simplify 0 into 0
12.742 * [backup-simplify]: Simplify 1 into 1
12.742 * [backup-simplify]: Simplify (/ 1 1) into 1
12.743 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.743 * [taylor]: Taking taylor expansion of beta in i
12.743 * [backup-simplify]: Simplify beta into beta
12.743 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.743 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.743 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.743 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.743 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.744 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.744 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.745 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.745 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.745 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.746 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
12.746 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
12.746 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
12.746 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
12.746 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
12.746 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.746 * [taylor]: Taking taylor expansion of 2.0 in i
12.746 * [backup-simplify]: Simplify 2.0 into 2.0
12.746 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.746 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.746 * [taylor]: Taking taylor expansion of alpha in i
12.746 * [backup-simplify]: Simplify alpha into alpha
12.746 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.746 * [taylor]: Taking taylor expansion of 2.0 in i
12.746 * [backup-simplify]: Simplify 2.0 into 2.0
12.746 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.746 * [taylor]: Taking taylor expansion of i in i
12.746 * [backup-simplify]: Simplify 0 into 0
12.746 * [backup-simplify]: Simplify 1 into 1
12.747 * [backup-simplify]: Simplify (/ 1 1) into 1
12.747 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.747 * [taylor]: Taking taylor expansion of beta in i
12.747 * [backup-simplify]: Simplify beta into beta
12.747 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.747 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
12.747 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.747 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.747 * [taylor]: Taking taylor expansion of alpha in i
12.747 * [backup-simplify]: Simplify alpha into alpha
12.747 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.747 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.747 * [taylor]: Taking taylor expansion of 2.0 in i
12.747 * [backup-simplify]: Simplify 2.0 into 2.0
12.747 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.747 * [taylor]: Taking taylor expansion of i in i
12.747 * [backup-simplify]: Simplify 0 into 0
12.747 * [backup-simplify]: Simplify 1 into 1
12.748 * [backup-simplify]: Simplify (/ 1 1) into 1
12.748 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.748 * [taylor]: Taking taylor expansion of beta in i
12.748 * [backup-simplify]: Simplify beta into beta
12.748 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.748 * [taylor]: Taking taylor expansion of (pow beta 2) in i
12.748 * [taylor]: Taking taylor expansion of beta in i
12.748 * [backup-simplify]: Simplify beta into beta
12.748 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.748 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.749 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.749 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.750 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.750 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.750 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.750 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.750 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.751 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
12.751 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
12.751 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
12.751 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
12.751 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
12.751 * [taylor]: Taking taylor expansion of 1.0 in beta
12.751 * [backup-simplify]: Simplify 1.0 into 1.0
12.751 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
12.751 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.751 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
12.751 * [taylor]: Taking taylor expansion of alpha in beta
12.751 * [backup-simplify]: Simplify alpha into alpha
12.751 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.751 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.751 * [taylor]: Taking taylor expansion of 2.0 in beta
12.751 * [backup-simplify]: Simplify 2.0 into 2.0
12.751 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.751 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.751 * [taylor]: Taking taylor expansion of alpha in beta
12.752 * [backup-simplify]: Simplify alpha into alpha
12.752 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.752 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.752 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.752 * [taylor]: Taking taylor expansion of 2.0 in beta
12.752 * [backup-simplify]: Simplify 2.0 into 2.0
12.752 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.752 * [taylor]: Taking taylor expansion of i in beta
12.752 * [backup-simplify]: Simplify i into i
12.752 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.752 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.752 * [taylor]: Taking taylor expansion of beta in beta
12.752 * [backup-simplify]: Simplify 0 into 0
12.752 * [backup-simplify]: Simplify 1 into 1
12.752 * [backup-simplify]: Simplify (/ 1 1) into 1
12.752 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.752 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.752 * [taylor]: Taking taylor expansion of alpha in beta
12.752 * [backup-simplify]: Simplify alpha into alpha
12.752 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.752 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.752 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.752 * [taylor]: Taking taylor expansion of 2.0 in beta
12.752 * [backup-simplify]: Simplify 2.0 into 2.0
12.752 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.752 * [taylor]: Taking taylor expansion of i in beta
12.752 * [backup-simplify]: Simplify i into i
12.752 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.752 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.752 * [taylor]: Taking taylor expansion of beta in beta
12.753 * [backup-simplify]: Simplify 0 into 0
12.753 * [backup-simplify]: Simplify 1 into 1
12.753 * [backup-simplify]: Simplify (/ 1 1) into 1
12.753 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
12.753 * [backup-simplify]: Simplify (+ 0 1) into 1
12.754 * [backup-simplify]: Simplify (+ 0 1) into 1
12.754 * [backup-simplify]: Simplify (- 1) into -1
12.755 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.755 * [backup-simplify]: Simplify (+ 0 1) into 1
12.755 * [backup-simplify]: Simplify (+ 0 1) into 1
12.756 * [backup-simplify]: Simplify (* -1 1) into -1
12.756 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
12.756 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
12.756 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
12.756 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
12.756 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.756 * [taylor]: Taking taylor expansion of 2.0 in beta
12.756 * [backup-simplify]: Simplify 2.0 into 2.0
12.756 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.756 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.756 * [taylor]: Taking taylor expansion of alpha in beta
12.756 * [backup-simplify]: Simplify alpha into alpha
12.756 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.756 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.756 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.756 * [taylor]: Taking taylor expansion of 2.0 in beta
12.756 * [backup-simplify]: Simplify 2.0 into 2.0
12.756 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.757 * [taylor]: Taking taylor expansion of i in beta
12.757 * [backup-simplify]: Simplify i into i
12.757 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.757 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.757 * [taylor]: Taking taylor expansion of beta in beta
12.757 * [backup-simplify]: Simplify 0 into 0
12.757 * [backup-simplify]: Simplify 1 into 1
12.757 * [backup-simplify]: Simplify (/ 1 1) into 1
12.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
12.757 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.757 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.757 * [taylor]: Taking taylor expansion of alpha in beta
12.757 * [backup-simplify]: Simplify alpha into alpha
12.757 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.757 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.757 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.757 * [taylor]: Taking taylor expansion of 2.0 in beta
12.757 * [backup-simplify]: Simplify 2.0 into 2.0
12.757 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.757 * [taylor]: Taking taylor expansion of i in beta
12.757 * [backup-simplify]: Simplify i into i
12.757 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.757 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.757 * [taylor]: Taking taylor expansion of beta in beta
12.757 * [backup-simplify]: Simplify 0 into 0
12.757 * [backup-simplify]: Simplify 1 into 1
12.758 * [backup-simplify]: Simplify (/ 1 1) into 1
12.758 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.758 * [taylor]: Taking taylor expansion of beta in beta
12.758 * [backup-simplify]: Simplify 0 into 0
12.758 * [backup-simplify]: Simplify 1 into 1
12.758 * [backup-simplify]: Simplify (+ 0 1) into 1
12.758 * [backup-simplify]: Simplify (+ 0 1) into 1
12.758 * [backup-simplify]: Simplify (- 1) into -1
12.759 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.759 * [backup-simplify]: Simplify (+ 0 1) into 1
12.759 * [backup-simplify]: Simplify (+ 0 1) into 1
12.759 * [backup-simplify]: Simplify (* 1 1) into 1
12.760 * [backup-simplify]: Simplify (* 1 1) into 1
12.760 * [backup-simplify]: Simplify (* -1 1) into -1
12.760 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.760 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
12.760 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
12.760 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.761 * [backup-simplify]: Simplify 1.0 into 1.0
12.761 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
12.761 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.761 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.761 * [taylor]: Taking taylor expansion of alpha in alpha
12.761 * [backup-simplify]: Simplify 0 into 0
12.761 * [backup-simplify]: Simplify 1 into 1
12.761 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.761 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.761 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.761 * [backup-simplify]: Simplify 2.0 into 2.0
12.761 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.761 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.761 * [taylor]: Taking taylor expansion of alpha in alpha
12.761 * [backup-simplify]: Simplify 0 into 0
12.761 * [backup-simplify]: Simplify 1 into 1
12.761 * [backup-simplify]: Simplify (/ 1 1) into 1
12.761 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.761 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.761 * [backup-simplify]: Simplify 2.0 into 2.0
12.761 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.761 * [taylor]: Taking taylor expansion of i in alpha
12.761 * [backup-simplify]: Simplify i into i
12.761 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.761 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.761 * [taylor]: Taking taylor expansion of beta in alpha
12.761 * [backup-simplify]: Simplify beta into beta
12.761 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.761 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.761 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.761 * [taylor]: Taking taylor expansion of alpha in alpha
12.761 * [backup-simplify]: Simplify 0 into 0
12.761 * [backup-simplify]: Simplify 1 into 1
12.762 * [backup-simplify]: Simplify (/ 1 1) into 1
12.762 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.762 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.762 * [backup-simplify]: Simplify 2.0 into 2.0
12.762 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.762 * [taylor]: Taking taylor expansion of i in alpha
12.762 * [backup-simplify]: Simplify i into i
12.762 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.762 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.762 * [taylor]: Taking taylor expansion of beta in alpha
12.762 * [backup-simplify]: Simplify beta into beta
12.762 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.762 * [backup-simplify]: Simplify (* 1 1) into 1
12.762 * [backup-simplify]: Simplify (+ 1 0) into 1
12.763 * [backup-simplify]: Simplify (- 1) into -1
12.763 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.763 * [backup-simplify]: Simplify (+ 1 0) into 1
12.763 * [backup-simplify]: Simplify (* -1 1) into -1
12.764 * [backup-simplify]: Simplify (* 1 -1) into -1
12.764 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.764 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
12.764 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
12.764 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.764 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.764 * [backup-simplify]: Simplify 2.0 into 2.0
12.764 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.764 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.764 * [taylor]: Taking taylor expansion of alpha in alpha
12.764 * [backup-simplify]: Simplify 0 into 0
12.764 * [backup-simplify]: Simplify 1 into 1
12.764 * [backup-simplify]: Simplify (/ 1 1) into 1
12.764 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.764 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.764 * [backup-simplify]: Simplify 2.0 into 2.0
12.764 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.764 * [taylor]: Taking taylor expansion of i in alpha
12.764 * [backup-simplify]: Simplify i into i
12.765 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.765 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.765 * [taylor]: Taking taylor expansion of beta in alpha
12.765 * [backup-simplify]: Simplify beta into beta
12.765 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
12.765 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.765 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.765 * [taylor]: Taking taylor expansion of alpha in alpha
12.765 * [backup-simplify]: Simplify 0 into 0
12.765 * [backup-simplify]: Simplify 1 into 1
12.765 * [backup-simplify]: Simplify (/ 1 1) into 1
12.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.765 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.765 * [backup-simplify]: Simplify 2.0 into 2.0
12.765 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.765 * [taylor]: Taking taylor expansion of i in alpha
12.765 * [backup-simplify]: Simplify i into i
12.765 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.765 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.765 * [taylor]: Taking taylor expansion of beta in alpha
12.765 * [backup-simplify]: Simplify beta into beta
12.765 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.765 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.765 * [taylor]: Taking taylor expansion of beta in alpha
12.765 * [backup-simplify]: Simplify beta into beta
12.766 * [backup-simplify]: Simplify (+ 1 0) into 1
12.766 * [backup-simplify]: Simplify (- 1) into -1
12.766 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.766 * [backup-simplify]: Simplify (+ 1 0) into 1
12.766 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.766 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.767 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
12.767 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
12.767 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
12.767 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
12.767 * [taylor]: Taking taylor expansion of 1.0 in alpha
12.767 * [backup-simplify]: Simplify 1.0 into 1.0
12.767 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
12.767 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.767 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.767 * [taylor]: Taking taylor expansion of alpha in alpha
12.767 * [backup-simplify]: Simplify 0 into 0
12.767 * [backup-simplify]: Simplify 1 into 1
12.767 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.767 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.767 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.767 * [backup-simplify]: Simplify 2.0 into 2.0
12.767 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.767 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.767 * [taylor]: Taking taylor expansion of alpha in alpha
12.767 * [backup-simplify]: Simplify 0 into 0
12.767 * [backup-simplify]: Simplify 1 into 1
12.767 * [backup-simplify]: Simplify (/ 1 1) into 1
12.767 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.767 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.767 * [backup-simplify]: Simplify 2.0 into 2.0
12.767 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.767 * [taylor]: Taking taylor expansion of i in alpha
12.767 * [backup-simplify]: Simplify i into i
12.767 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.767 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.767 * [taylor]: Taking taylor expansion of beta in alpha
12.767 * [backup-simplify]: Simplify beta into beta
12.767 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.768 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.768 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.768 * [taylor]: Taking taylor expansion of alpha in alpha
12.768 * [backup-simplify]: Simplify 0 into 0
12.768 * [backup-simplify]: Simplify 1 into 1
12.768 * [backup-simplify]: Simplify (/ 1 1) into 1
12.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.768 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.768 * [backup-simplify]: Simplify 2.0 into 2.0
12.768 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.768 * [taylor]: Taking taylor expansion of i in alpha
12.768 * [backup-simplify]: Simplify i into i
12.768 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.768 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.768 * [taylor]: Taking taylor expansion of beta in alpha
12.768 * [backup-simplify]: Simplify beta into beta
12.768 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.768 * [backup-simplify]: Simplify (* 1 1) into 1
12.769 * [backup-simplify]: Simplify (+ 1 0) into 1
12.769 * [backup-simplify]: Simplify (- 1) into -1
12.769 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.769 * [backup-simplify]: Simplify (+ 1 0) into 1
12.770 * [backup-simplify]: Simplify (* -1 1) into -1
12.770 * [backup-simplify]: Simplify (* 1 -1) into -1
12.770 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.770 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
12.770 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
12.770 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.770 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.770 * [backup-simplify]: Simplify 2.0 into 2.0
12.771 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.771 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.771 * [taylor]: Taking taylor expansion of alpha in alpha
12.771 * [backup-simplify]: Simplify 0 into 0
12.771 * [backup-simplify]: Simplify 1 into 1
12.771 * [backup-simplify]: Simplify (/ 1 1) into 1
12.771 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.771 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.771 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.771 * [backup-simplify]: Simplify 2.0 into 2.0
12.771 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.771 * [taylor]: Taking taylor expansion of i in alpha
12.771 * [backup-simplify]: Simplify i into i
12.771 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.771 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.771 * [taylor]: Taking taylor expansion of beta in alpha
12.771 * [backup-simplify]: Simplify beta into beta
12.771 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
12.771 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.771 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.771 * [taylor]: Taking taylor expansion of alpha in alpha
12.771 * [backup-simplify]: Simplify 0 into 0
12.771 * [backup-simplify]: Simplify 1 into 1
12.771 * [backup-simplify]: Simplify (/ 1 1) into 1
12.771 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.771 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.771 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.771 * [backup-simplify]: Simplify 2.0 into 2.0
12.772 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.772 * [taylor]: Taking taylor expansion of i in alpha
12.772 * [backup-simplify]: Simplify i into i
12.772 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.772 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.772 * [taylor]: Taking taylor expansion of beta in alpha
12.772 * [backup-simplify]: Simplify beta into beta
12.772 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.772 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
12.772 * [taylor]: Taking taylor expansion of beta in alpha
12.772 * [backup-simplify]: Simplify beta into beta
12.772 * [backup-simplify]: Simplify (+ 1 0) into 1
12.772 * [backup-simplify]: Simplify (- 1) into -1
12.772 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.773 * [backup-simplify]: Simplify (+ 1 0) into 1
12.773 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
12.773 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
12.773 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
12.773 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
12.773 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
12.774 * [backup-simplify]: Simplify (+ 0 0) into 0
12.774 * [taylor]: Taking taylor expansion of 0 in beta
12.774 * [backup-simplify]: Simplify 0 into 0
12.774 * [taylor]: Taking taylor expansion of 0 in i
12.774 * [backup-simplify]: Simplify 0 into 0
12.774 * [backup-simplify]: Simplify 0 into 0
12.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.774 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.774 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.774 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.775 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.775 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.775 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.775 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.775 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.776 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
12.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.776 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
12.777 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.777 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.777 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
12.777 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
12.777 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
12.777 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
12.777 * [taylor]: Taking taylor expansion of 4.0 in beta
12.777 * [backup-simplify]: Simplify 4.0 into 4.0
12.777 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.777 * [taylor]: Taking taylor expansion of i in beta
12.777 * [backup-simplify]: Simplify i into i
12.777 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
12.777 * [taylor]: Taking taylor expansion of 2 in beta
12.777 * [backup-simplify]: Simplify 2 into 2
12.777 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.777 * [taylor]: Taking taylor expansion of beta in beta
12.777 * [backup-simplify]: Simplify 0 into 0
12.777 * [backup-simplify]: Simplify 1 into 1
12.778 * [backup-simplify]: Simplify (/ 1 1) into 1
12.778 * [taylor]: Taking taylor expansion of 2.0 in beta
12.778 * [backup-simplify]: Simplify 2.0 into 2.0
12.778 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
12.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.778 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.779 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
12.779 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.779 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
12.779 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
12.779 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
12.779 * [taylor]: Taking taylor expansion of 4.0 in i
12.779 * [backup-simplify]: Simplify 4.0 into 4.0
12.779 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.779 * [taylor]: Taking taylor expansion of i in i
12.779 * [backup-simplify]: Simplify 0 into 0
12.779 * [backup-simplify]: Simplify 1 into 1
12.779 * [backup-simplify]: Simplify (/ 1 1) into 1
12.779 * [taylor]: Taking taylor expansion of 2.0 in i
12.780 * [backup-simplify]: Simplify 2.0 into 2.0
12.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.780 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
12.781 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.781 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.781 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.781 * [taylor]: Taking taylor expansion of 0 in i
12.781 * [backup-simplify]: Simplify 0 into 0
12.781 * [backup-simplify]: Simplify 0 into 0
12.781 * [backup-simplify]: Simplify 0 into 0
12.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.782 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.783 * [backup-simplify]: Simplify (+ 0 0) into 0
12.783 * [backup-simplify]: Simplify (+ 0 0) into 0
12.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.784 * [backup-simplify]: Simplify (+ 0 0) into 0
12.784 * [backup-simplify]: Simplify (+ 0 0) into 0
12.785 * [backup-simplify]: Simplify (- 0) into 0
12.785 * [backup-simplify]: Simplify (+ 0 0) into 0
12.787 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
12.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.789 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
12.791 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
12.793 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
12.793 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
12.794 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
12.794 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
12.794 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
12.794 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
12.794 * [taylor]: Taking taylor expansion of 12.0 in beta
12.794 * [backup-simplify]: Simplify 12.0 into 12.0
12.794 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.794 * [taylor]: Taking taylor expansion of i in beta
12.794 * [backup-simplify]: Simplify i into i
12.794 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.795 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
12.795 * [taylor]: Taking taylor expansion of 6.0 in beta
12.795 * [backup-simplify]: Simplify 6.0 into 6.0
12.795 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.795 * [taylor]: Taking taylor expansion of beta in beta
12.795 * [backup-simplify]: Simplify 0 into 0
12.795 * [backup-simplify]: Simplify 1 into 1
12.795 * [backup-simplify]: Simplify (/ 1 1) into 1
12.795 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
12.795 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
12.795 * [taylor]: Taking taylor expansion of 12.0 in beta
12.795 * [backup-simplify]: Simplify 12.0 into 12.0
12.795 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.795 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.795 * [taylor]: Taking taylor expansion of i in beta
12.795 * [backup-simplify]: Simplify i into i
12.796 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.796 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.796 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
12.796 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
12.796 * [taylor]: Taking taylor expansion of 12.0 in beta
12.796 * [backup-simplify]: Simplify 12.0 into 12.0
12.796 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.796 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.796 * [taylor]: Taking taylor expansion of i in beta
12.796 * [backup-simplify]: Simplify i into i
12.796 * [taylor]: Taking taylor expansion of beta in beta
12.796 * [backup-simplify]: Simplify 0 into 0
12.796 * [backup-simplify]: Simplify 1 into 1
12.796 * [backup-simplify]: Simplify (* i 0) into 0
12.796 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.796 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.796 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
12.796 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
12.797 * [taylor]: Taking taylor expansion of 2 in beta
12.797 * [backup-simplify]: Simplify 2 into 2
12.797 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.797 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.797 * [taylor]: Taking taylor expansion of beta in beta
12.797 * [backup-simplify]: Simplify 0 into 0
12.797 * [backup-simplify]: Simplify 1 into 1
12.797 * [backup-simplify]: Simplify (* 1 1) into 1
12.797 * [backup-simplify]: Simplify (/ 1 1) into 1
12.797 * [taylor]: Taking taylor expansion of 4.0 in beta
12.797 * [backup-simplify]: Simplify 4.0 into 4.0
12.797 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
12.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.798 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
12.798 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
12.798 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
12.799 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.799 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.802 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.802 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.802 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
12.802 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.802 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.802 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
12.803 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
12.803 * [taylor]: Taking taylor expansion of 12.0 in i
12.803 * [backup-simplify]: Simplify 12.0 into 12.0
12.803 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.803 * [taylor]: Taking taylor expansion of i in i
12.803 * [backup-simplify]: Simplify 0 into 0
12.803 * [backup-simplify]: Simplify 1 into 1
12.803 * [backup-simplify]: Simplify (/ 1 1) into 1
12.803 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
12.803 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
12.803 * [taylor]: Taking taylor expansion of 12.0 in i
12.803 * [backup-simplify]: Simplify 12.0 into 12.0
12.803 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.803 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.803 * [taylor]: Taking taylor expansion of i in i
12.803 * [backup-simplify]: Simplify 0 into 0
12.803 * [backup-simplify]: Simplify 1 into 1
12.803 * [backup-simplify]: Simplify (* 1 1) into 1
12.803 * [backup-simplify]: Simplify (/ 1 1) into 1
12.803 * [taylor]: Taking taylor expansion of 4.0 in i
12.804 * [backup-simplify]: Simplify 4.0 into 4.0
12.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.804 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
12.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.807 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
12.807 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.807 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.808 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
12.808 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.808 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.810 * [backup-simplify]: Simplify (+ 0 0) into 0
12.810 * [backup-simplify]: Simplify (- 0) into 0
12.810 * [backup-simplify]: Simplify (+ 0 0) into 0
12.810 * [taylor]: Taking taylor expansion of 0 in i
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [taylor]: Taking taylor expansion of 0 in i
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [backup-simplify]: Simplify 0 into 0
12.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.811 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
12.812 * [backup-simplify]: Simplify (- 0) into 0
12.812 * [backup-simplify]: Simplify (+ 0 0) into 0
12.812 * [backup-simplify]: Simplify 0 into 0
12.812 * [backup-simplify]: Simplify 0 into 0
12.812 * [backup-simplify]: Simplify 0 into 0
12.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.813 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.813 * [backup-simplify]: Simplify (+ 0 0) into 0
12.814 * [backup-simplify]: Simplify (+ 0 0) into 0
12.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.815 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.815 * [backup-simplify]: Simplify (+ 0 0) into 0
12.815 * [backup-simplify]: Simplify (+ 0 0) into 0
12.815 * [backup-simplify]: Simplify (- 0) into 0
12.816 * [backup-simplify]: Simplify (+ 0 0) into 0
12.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
12.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
12.821 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
12.822 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
12.822 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
12.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.823 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.823 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.823 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.824 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
12.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.824 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.824 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.824 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.825 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.825 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.826 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
12.827 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
12.828 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
12.831 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
12.831 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
12.831 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
12.831 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
12.831 * [taylor]: Taking taylor expansion of 20.0 in beta
12.832 * [backup-simplify]: Simplify 20.0 into 20.0
12.832 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
12.832 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.832 * [taylor]: Taking taylor expansion of i in beta
12.832 * [backup-simplify]: Simplify i into i
12.832 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.832 * [taylor]: Taking taylor expansion of beta in beta
12.832 * [backup-simplify]: Simplify 0 into 0
12.832 * [backup-simplify]: Simplify 1 into 1
12.832 * [backup-simplify]: Simplify (* 1 1) into 1
12.832 * [backup-simplify]: Simplify (* i 1) into i
12.832 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.832 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
12.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
12.833 * [taylor]: Taking taylor expansion of 2 in beta
12.833 * [backup-simplify]: Simplify 2 into 2
12.833 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
12.833 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.833 * [taylor]: Taking taylor expansion of beta in beta
12.833 * [backup-simplify]: Simplify 0 into 0
12.833 * [backup-simplify]: Simplify 1 into 1
12.833 * [backup-simplify]: Simplify (* 1 1) into 1
12.834 * [backup-simplify]: Simplify (* 1 1) into 1
12.834 * [backup-simplify]: Simplify (/ 1 1) into 1
12.834 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
12.834 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
12.834 * [taylor]: Taking taylor expansion of 48.0 in beta
12.834 * [backup-simplify]: Simplify 48.0 into 48.0
12.834 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
12.834 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
12.834 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.834 * [taylor]: Taking taylor expansion of i in beta
12.834 * [backup-simplify]: Simplify i into i
12.834 * [taylor]: Taking taylor expansion of beta in beta
12.834 * [backup-simplify]: Simplify 0 into 0
12.834 * [backup-simplify]: Simplify 1 into 1
12.834 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.835 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
12.835 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.835 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
12.835 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.835 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
12.835 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
12.835 * [taylor]: Taking taylor expansion of 32.0 in beta
12.836 * [backup-simplify]: Simplify 32.0 into 32.0
12.836 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.836 * [taylor]: Taking taylor expansion of i in beta
12.836 * [backup-simplify]: Simplify i into i
12.836 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.836 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
12.836 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
12.836 * [taylor]: Taking taylor expansion of 16.0 in beta
12.836 * [backup-simplify]: Simplify 16.0 into 16.0
12.836 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.836 * [taylor]: Taking taylor expansion of beta in beta
12.836 * [backup-simplify]: Simplify 0 into 0
12.836 * [backup-simplify]: Simplify 1 into 1
12.836 * [backup-simplify]: Simplify (/ 1 1) into 1
12.836 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
12.836 * [taylor]: Taking taylor expansion of 32.0 in beta
12.836 * [backup-simplify]: Simplify 32.0 into 32.0
12.836 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
12.836 * [taylor]: Taking taylor expansion of (pow i 3) in beta
12.836 * [taylor]: Taking taylor expansion of i in beta
12.836 * [backup-simplify]: Simplify i into i
12.836 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.837 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
12.837 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
12.837 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
12.837 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
12.837 * [taylor]: Taking taylor expansion of 10.0 in beta
12.837 * [backup-simplify]: Simplify 10.0 into 10.0
12.837 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.837 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.837 * [taylor]: Taking taylor expansion of beta in beta
12.837 * [backup-simplify]: Simplify 0 into 0
12.837 * [backup-simplify]: Simplify 1 into 1
12.837 * [backup-simplify]: Simplify (* 1 1) into 1
12.837 * [backup-simplify]: Simplify (/ 1 1) into 1
12.837 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
12.837 * [taylor]: Taking taylor expansion of 8.0 in beta
12.837 * [backup-simplify]: Simplify 8.0 into 8.0
12.837 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
12.837 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
12.837 * [taylor]: Taking taylor expansion of 48.0 in beta
12.837 * [backup-simplify]: Simplify 48.0 into 48.0
12.837 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.837 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.837 * [taylor]: Taking taylor expansion of i in beta
12.837 * [backup-simplify]: Simplify i into i
12.838 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.838 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.838 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
12.838 * [taylor]: Taking taylor expansion of 48.0 in beta
12.838 * [backup-simplify]: Simplify 48.0 into 48.0
12.838 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.838 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.838 * [taylor]: Taking taylor expansion of i in beta
12.838 * [backup-simplify]: Simplify i into i
12.838 * [taylor]: Taking taylor expansion of beta in beta
12.838 * [backup-simplify]: Simplify 0 into 0
12.838 * [backup-simplify]: Simplify 1 into 1
12.838 * [backup-simplify]: Simplify (* i 0) into 0
12.838 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.838 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.846 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
12.847 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
12.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.848 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.856 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
12.857 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
12.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
12.858 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
12.858 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
12.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.859 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
12.860 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
12.860 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
12.860 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
12.860 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.861 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.861 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
12.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.865 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
12.865 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
12.866 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.866 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
12.866 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
12.867 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
12.867 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
12.867 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
12.868 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
12.868 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
12.868 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
12.868 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
12.868 * [taylor]: Taking taylor expansion of 32.0 in i
12.868 * [backup-simplify]: Simplify 32.0 into 32.0
12.868 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.868 * [taylor]: Taking taylor expansion of i in i
12.868 * [backup-simplify]: Simplify 0 into 0
12.868 * [backup-simplify]: Simplify 1 into 1
12.868 * [backup-simplify]: Simplify (/ 1 1) into 1
12.868 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
12.869 * [taylor]: Taking taylor expansion of 32.0 in i
12.869 * [backup-simplify]: Simplify 32.0 into 32.0
12.869 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
12.869 * [taylor]: Taking taylor expansion of (pow i 3) in i
12.869 * [taylor]: Taking taylor expansion of i in i
12.869 * [backup-simplify]: Simplify 0 into 0
12.869 * [backup-simplify]: Simplify 1 into 1
12.869 * [backup-simplify]: Simplify (* 1 1) into 1
12.869 * [backup-simplify]: Simplify (* 1 1) into 1
12.870 * [backup-simplify]: Simplify (/ 1 1) into 1
12.870 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
12.870 * [taylor]: Taking taylor expansion of 8.0 in i
12.870 * [backup-simplify]: Simplify 8.0 into 8.0
12.870 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
12.870 * [taylor]: Taking taylor expansion of 48.0 in i
12.870 * [backup-simplify]: Simplify 48.0 into 48.0
12.870 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.870 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.870 * [taylor]: Taking taylor expansion of i in i
12.870 * [backup-simplify]: Simplify 0 into 0
12.871 * [backup-simplify]: Simplify 1 into 1
12.871 * [backup-simplify]: Simplify (* 1 1) into 1
12.871 * [backup-simplify]: Simplify (/ 1 1) into 1
12.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.873 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
12.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.880 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.881 * [backup-simplify]: Simplify (+ 0 0) into 0
12.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.883 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
12.883 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
12.883 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
12.884 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
12.884 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
12.885 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
12.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2)
12.886 * [backup-simplify]: Simplify (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) into (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
12.886 * [approximate]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (beta alpha i) around 0
12.886 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
12.886 * [taylor]: Taking taylor expansion of (- beta alpha) in i
12.886 * [taylor]: Taking taylor expansion of beta in i
12.886 * [backup-simplify]: Simplify beta into beta
12.886 * [taylor]: Taking taylor expansion of alpha in i
12.886 * [backup-simplify]: Simplify alpha into alpha
12.886 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
12.886 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
12.886 * [taylor]: Taking taylor expansion of alpha in i
12.886 * [backup-simplify]: Simplify alpha into alpha
12.886 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.886 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.886 * [taylor]: Taking taylor expansion of 2.0 in i
12.886 * [backup-simplify]: Simplify 2.0 into 2.0
12.886 * [taylor]: Taking taylor expansion of i in i
12.886 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify 1 into 1
12.886 * [taylor]: Taking taylor expansion of beta in i
12.886 * [backup-simplify]: Simplify beta into beta
12.886 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
12.886 * [taylor]: Taking taylor expansion of alpha in i
12.886 * [backup-simplify]: Simplify alpha into alpha
12.886 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
12.886 * [taylor]: Taking taylor expansion of 2.0 in i
12.886 * [backup-simplify]: Simplify 2.0 into 2.0
12.886 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.886 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.886 * [taylor]: Taking taylor expansion of 2.0 in i
12.886 * [backup-simplify]: Simplify 2.0 into 2.0
12.886 * [taylor]: Taking taylor expansion of i in i
12.886 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify 1 into 1
12.886 * [taylor]: Taking taylor expansion of beta in i
12.886 * [backup-simplify]: Simplify beta into beta
12.886 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.886 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
12.887 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.887 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.887 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.887 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.887 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.887 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
12.887 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
12.887 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
12.887 * [backup-simplify]: Simplify (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
12.887 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.887 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
12.887 * [taylor]: Taking taylor expansion of beta in alpha
12.887 * [backup-simplify]: Simplify beta into beta
12.887 * [taylor]: Taking taylor expansion of alpha in alpha
12.887 * [backup-simplify]: Simplify 0 into 0
12.887 * [backup-simplify]: Simplify 1 into 1
12.887 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.888 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.888 * [taylor]: Taking taylor expansion of alpha in alpha
12.888 * [backup-simplify]: Simplify 0 into 0
12.888 * [backup-simplify]: Simplify 1 into 1
12.888 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.888 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.888 * [backup-simplify]: Simplify 2.0 into 2.0
12.888 * [taylor]: Taking taylor expansion of i in alpha
12.888 * [backup-simplify]: Simplify i into i
12.888 * [taylor]: Taking taylor expansion of beta in alpha
12.888 * [backup-simplify]: Simplify beta into beta
12.888 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.888 * [taylor]: Taking taylor expansion of alpha in alpha
12.888 * [backup-simplify]: Simplify 0 into 0
12.888 * [backup-simplify]: Simplify 1 into 1
12.888 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.888 * [backup-simplify]: Simplify 2.0 into 2.0
12.888 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.888 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.888 * [backup-simplify]: Simplify 2.0 into 2.0
12.888 * [taylor]: Taking taylor expansion of i in alpha
12.888 * [backup-simplify]: Simplify i into i
12.888 * [taylor]: Taking taylor expansion of beta in alpha
12.888 * [backup-simplify]: Simplify beta into beta
12.888 * [backup-simplify]: Simplify (- 0) into 0
12.888 * [backup-simplify]: Simplify (+ beta 0) into beta
12.888 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.888 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.888 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.888 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.888 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.889 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.889 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.889 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.889 * [backup-simplify]: Simplify (/ beta (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ beta (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
12.889 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.889 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.889 * [taylor]: Taking taylor expansion of beta in beta
12.889 * [backup-simplify]: Simplify 0 into 0
12.889 * [backup-simplify]: Simplify 1 into 1
12.889 * [taylor]: Taking taylor expansion of alpha in beta
12.889 * [backup-simplify]: Simplify alpha into alpha
12.889 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.889 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.889 * [taylor]: Taking taylor expansion of alpha in beta
12.889 * [backup-simplify]: Simplify alpha into alpha
12.889 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.889 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.889 * [taylor]: Taking taylor expansion of 2.0 in beta
12.889 * [backup-simplify]: Simplify 2.0 into 2.0
12.889 * [taylor]: Taking taylor expansion of i in beta
12.889 * [backup-simplify]: Simplify i into i
12.889 * [taylor]: Taking taylor expansion of beta in beta
12.889 * [backup-simplify]: Simplify 0 into 0
12.889 * [backup-simplify]: Simplify 1 into 1
12.889 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.889 * [taylor]: Taking taylor expansion of alpha in beta
12.889 * [backup-simplify]: Simplify alpha into alpha
12.889 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.889 * [taylor]: Taking taylor expansion of 2.0 in beta
12.889 * [backup-simplify]: Simplify 2.0 into 2.0
12.889 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.889 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.889 * [taylor]: Taking taylor expansion of 2.0 in beta
12.889 * [backup-simplify]: Simplify 2.0 into 2.0
12.889 * [taylor]: Taking taylor expansion of i in beta
12.889 * [backup-simplify]: Simplify i into i
12.889 * [taylor]: Taking taylor expansion of beta in beta
12.889 * [backup-simplify]: Simplify 0 into 0
12.889 * [backup-simplify]: Simplify 1 into 1
12.889 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.889 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.890 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.890 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.890 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.890 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.890 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.890 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.890 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.890 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.890 * [backup-simplify]: Simplify (/ (- alpha) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
12.890 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.890 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.890 * [taylor]: Taking taylor expansion of beta in beta
12.890 * [backup-simplify]: Simplify 0 into 0
12.890 * [backup-simplify]: Simplify 1 into 1
12.890 * [taylor]: Taking taylor expansion of alpha in beta
12.890 * [backup-simplify]: Simplify alpha into alpha
12.890 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.890 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.890 * [taylor]: Taking taylor expansion of alpha in beta
12.890 * [backup-simplify]: Simplify alpha into alpha
12.890 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.890 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.890 * [taylor]: Taking taylor expansion of 2.0 in beta
12.890 * [backup-simplify]: Simplify 2.0 into 2.0
12.890 * [taylor]: Taking taylor expansion of i in beta
12.890 * [backup-simplify]: Simplify i into i
12.890 * [taylor]: Taking taylor expansion of beta in beta
12.890 * [backup-simplify]: Simplify 0 into 0
12.890 * [backup-simplify]: Simplify 1 into 1
12.890 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.890 * [taylor]: Taking taylor expansion of alpha in beta
12.890 * [backup-simplify]: Simplify alpha into alpha
12.890 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.890 * [taylor]: Taking taylor expansion of 2.0 in beta
12.890 * [backup-simplify]: Simplify 2.0 into 2.0
12.891 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.891 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.891 * [taylor]: Taking taylor expansion of 2.0 in beta
12.891 * [backup-simplify]: Simplify 2.0 into 2.0
12.891 * [taylor]: Taking taylor expansion of i in beta
12.891 * [backup-simplify]: Simplify i into i
12.891 * [taylor]: Taking taylor expansion of beta in beta
12.891 * [backup-simplify]: Simplify 0 into 0
12.891 * [backup-simplify]: Simplify 1 into 1
12.891 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.891 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.891 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.891 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.891 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.891 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.891 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.891 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.891 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.891 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.891 * [backup-simplify]: Simplify (/ (- alpha) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
12.891 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
12.891 * [taylor]: Taking taylor expansion of -1 in alpha
12.891 * [backup-simplify]: Simplify -1 into -1
12.891 * [taylor]: Taking taylor expansion of (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
12.891 * [taylor]: Taking taylor expansion of alpha in alpha
12.891 * [backup-simplify]: Simplify 0 into 0
12.891 * [backup-simplify]: Simplify 1 into 1
12.891 * [taylor]: Taking taylor expansion of (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) in alpha
12.892 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.892 * [taylor]: Taking taylor expansion of alpha in alpha
12.892 * [backup-simplify]: Simplify 0 into 0
12.892 * [backup-simplify]: Simplify 1 into 1
12.892 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.892 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.892 * [backup-simplify]: Simplify 2.0 into 2.0
12.892 * [taylor]: Taking taylor expansion of i in alpha
12.892 * [backup-simplify]: Simplify i into i
12.892 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.892 * [taylor]: Taking taylor expansion of alpha in alpha
12.892 * [backup-simplify]: Simplify 0 into 0
12.892 * [backup-simplify]: Simplify 1 into 1
12.892 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.892 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.892 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.892 * [backup-simplify]: Simplify 2.0 into 2.0
12.892 * [taylor]: Taking taylor expansion of i in alpha
12.892 * [backup-simplify]: Simplify i into i
12.892 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.892 * [backup-simplify]: Simplify 2.0 into 2.0
12.892 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.892 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.892 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.892 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.892 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.892 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
12.892 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
12.893 * [backup-simplify]: Simplify (- 0) into 0
12.893 * [backup-simplify]: Simplify (+ 1 0) into 1
12.893 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.893 * [backup-simplify]: Simplify (+ 0 1) into 1
12.894 * [backup-simplify]: Simplify (+ 0 1) into 1
12.894 * [backup-simplify]: Simplify (+ 0 1) into 1
12.894 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.894 * [backup-simplify]: Simplify (+ 0 1) into 1
12.895 * [backup-simplify]: Simplify (+ 0 1) into 1
12.895 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 1) (* 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (+ (* 2 alpha) (+ (* 4.0 i) 2.0))
12.896 * [backup-simplify]: Simplify (- (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) (+ (* (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) (/ (+ (* 2 alpha) (+ (* 4.0 i) 2.0)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) into (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))))))
12.896 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) in alpha
12.896 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
12.896 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.896 * [backup-simplify]: Simplify 4.0 into 4.0
12.896 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.896 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.896 * [taylor]: Taking taylor expansion of alpha in alpha
12.896 * [backup-simplify]: Simplify 0 into 0
12.896 * [backup-simplify]: Simplify 1 into 1
12.896 * [taylor]: Taking taylor expansion of i in alpha
12.896 * [backup-simplify]: Simplify i into i
12.896 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.896 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.896 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.896 * [taylor]: Taking taylor expansion of alpha in alpha
12.896 * [backup-simplify]: Simplify 0 into 0
12.896 * [backup-simplify]: Simplify 1 into 1
12.896 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.896 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.896 * [backup-simplify]: Simplify 2.0 into 2.0
12.896 * [taylor]: Taking taylor expansion of i in alpha
12.896 * [backup-simplify]: Simplify i into i
12.896 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.896 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.896 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.896 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.896 * [taylor]: Taking taylor expansion of alpha in alpha
12.896 * [backup-simplify]: Simplify 0 into 0
12.896 * [backup-simplify]: Simplify 1 into 1
12.896 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.896 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.896 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.896 * [backup-simplify]: Simplify 2.0 into 2.0
12.896 * [taylor]: Taking taylor expansion of i in alpha
12.897 * [backup-simplify]: Simplify i into i
12.897 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.897 * [backup-simplify]: Simplify 2.0 into 2.0
12.897 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.897 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.897 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.897 * [backup-simplify]: Simplify (* 0 i) into 0
12.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.897 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.897 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.898 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.898 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.898 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))))) in alpha
12.898 * [taylor]: Taking taylor expansion of (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
12.898 * [taylor]: Taking taylor expansion of 2 in alpha
12.898 * [backup-simplify]: Simplify 2 into 2
12.898 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.898 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.898 * [taylor]: Taking taylor expansion of alpha in alpha
12.898 * [backup-simplify]: Simplify 0 into 0
12.898 * [backup-simplify]: Simplify 1 into 1
12.898 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.898 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.898 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.898 * [taylor]: Taking taylor expansion of alpha in alpha
12.898 * [backup-simplify]: Simplify 0 into 0
12.898 * [backup-simplify]: Simplify 1 into 1
12.898 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.898 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.899 * [backup-simplify]: Simplify 2.0 into 2.0
12.899 * [taylor]: Taking taylor expansion of i in alpha
12.899 * [backup-simplify]: Simplify i into i
12.899 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.899 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.899 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.899 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.899 * [taylor]: Taking taylor expansion of alpha in alpha
12.899 * [backup-simplify]: Simplify 0 into 0
12.899 * [backup-simplify]: Simplify 1 into 1
12.899 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.899 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.899 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.899 * [backup-simplify]: Simplify 2.0 into 2.0
12.899 * [taylor]: Taking taylor expansion of i in alpha
12.899 * [backup-simplify]: Simplify i into i
12.899 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.899 * [backup-simplify]: Simplify 2.0 into 2.0
12.899 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.899 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.899 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.900 * [backup-simplify]: Simplify (* 1 1) into 1
12.900 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.900 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.900 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.900 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.900 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))) in alpha
12.900 * [taylor]: Taking taylor expansion of (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
12.900 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.900 * [backup-simplify]: Simplify 2.0 into 2.0
12.900 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.900 * [taylor]: Taking taylor expansion of alpha in alpha
12.900 * [backup-simplify]: Simplify 0 into 0
12.900 * [backup-simplify]: Simplify 1 into 1
12.900 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.900 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.900 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.900 * [taylor]: Taking taylor expansion of alpha in alpha
12.900 * [backup-simplify]: Simplify 0 into 0
12.900 * [backup-simplify]: Simplify 1 into 1
12.900 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.901 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.901 * [backup-simplify]: Simplify 2.0 into 2.0
12.901 * [taylor]: Taking taylor expansion of i in alpha
12.901 * [backup-simplify]: Simplify i into i
12.901 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.901 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.901 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.901 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.901 * [taylor]: Taking taylor expansion of alpha in alpha
12.901 * [backup-simplify]: Simplify 0 into 0
12.901 * [backup-simplify]: Simplify 1 into 1
12.901 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.901 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.901 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.901 * [backup-simplify]: Simplify 2.0 into 2.0
12.901 * [taylor]: Taking taylor expansion of i in alpha
12.901 * [backup-simplify]: Simplify i into i
12.901 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.901 * [backup-simplify]: Simplify 2.0 into 2.0
12.901 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.901 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.901 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.901 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.901 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.901 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.902 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.902 * [taylor]: Taking taylor expansion of (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) in alpha
12.902 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))) in alpha
12.902 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.902 * [taylor]: Taking taylor expansion of alpha in alpha
12.902 * [backup-simplify]: Simplify 0 into 0
12.902 * [backup-simplify]: Simplify 1 into 1
12.902 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.902 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.902 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.902 * [backup-simplify]: Simplify 2.0 into 2.0
12.902 * [taylor]: Taking taylor expansion of i in alpha
12.902 * [backup-simplify]: Simplify i into i
12.902 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.902 * [backup-simplify]: Simplify 2.0 into 2.0
12.902 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.902 * [taylor]: Taking taylor expansion of alpha in alpha
12.902 * [backup-simplify]: Simplify 0 into 0
12.902 * [backup-simplify]: Simplify 1 into 1
12.902 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.902 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.902 * [backup-simplify]: Simplify 2.0 into 2.0
12.902 * [taylor]: Taking taylor expansion of i in alpha
12.902 * [backup-simplify]: Simplify i into i
12.902 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.902 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.902 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.902 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.902 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.902 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (* 2.0 i)) into (* 2.0 (* (+ (* 2.0 i) 2.0) i))
12.903 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* (+ (* 2.0 i) 2.0) i))) into (/ 0.5 (* (+ (* 2.0 i) 2.0) i))
12.903 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (* (+ (* 2.0 i) 2.0) i))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
12.903 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
12.903 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
12.903 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i))) in i
12.903 * [taylor]: Taking taylor expansion of 0.5 in i
12.903 * [backup-simplify]: Simplify 0.5 into 0.5
12.903 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) 2.0) i)) in i
12.903 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) 2.0) i) in i
12.903 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.903 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.903 * [taylor]: Taking taylor expansion of 2.0 in i
12.903 * [backup-simplify]: Simplify 2.0 into 2.0
12.903 * [taylor]: Taking taylor expansion of i in i
12.903 * [backup-simplify]: Simplify 0 into 0
12.903 * [backup-simplify]: Simplify 1 into 1
12.903 * [taylor]: Taking taylor expansion of 2.0 in i
12.903 * [backup-simplify]: Simplify 2.0 into 2.0
12.903 * [taylor]: Taking taylor expansion of i in i
12.903 * [backup-simplify]: Simplify 0 into 0
12.903 * [backup-simplify]: Simplify 1 into 1
12.904 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.904 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.904 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.905 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.905 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.906 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 2.0 0)) into 2.0
12.907 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
12.907 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.907 * [backup-simplify]: Simplify (+ 0 0) into 0
12.909 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
12.910 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
12.911 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
12.911 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
12.912 * [backup-simplify]: Simplify (* -1 (/ 0.5 (* i (+ (* 2.0 i) 2.0)))) into (/ -0.5 (* i (+ (* 2.0 i) 2.0)))
12.912 * [taylor]: Taking taylor expansion of (/ -0.5 (* i (+ (* 2.0 i) 2.0))) in i
12.912 * [taylor]: Taking taylor expansion of -0.5 in i
12.912 * [backup-simplify]: Simplify -0.5 into -0.5
12.912 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
12.912 * [taylor]: Taking taylor expansion of i in i
12.912 * [backup-simplify]: Simplify 0 into 0
12.912 * [backup-simplify]: Simplify 1 into 1
12.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.912 * [taylor]: Taking taylor expansion of 2.0 in i
12.912 * [backup-simplify]: Simplify 2.0 into 2.0
12.912 * [taylor]: Taking taylor expansion of i in i
12.912 * [backup-simplify]: Simplify 0 into 0
12.912 * [backup-simplify]: Simplify 1 into 1
12.912 * [taylor]: Taking taylor expansion of 2.0 in i
12.912 * [backup-simplify]: Simplify 2.0 into 2.0
12.912 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.912 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.913 * [backup-simplify]: Simplify (* 0 2.0) into 0
12.913 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.914 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.915 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
12.915 * [backup-simplify]: Simplify (/ -0.5 2.0) into -0.25
12.915 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.916 * [backup-simplify]: Simplify (+ 0 0) into 0
12.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
12.921 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -0.25 (/ 2.0 2.0)))) into 0.25
12.921 * [backup-simplify]: Simplify 0.25 into 0.25
12.921 * [backup-simplify]: Simplify (- 0) into 0
12.922 * [backup-simplify]: Simplify (+ 0 0) into 0
12.922 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.923 * [backup-simplify]: Simplify (+ 0 0) into 0
12.923 * [backup-simplify]: Simplify (+ 0 0) into 0
12.924 * [backup-simplify]: Simplify (+ 0 0) into 0
12.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.925 * [backup-simplify]: Simplify (+ 0 0) into 0
12.925 * [backup-simplify]: Simplify (+ 0 0) into 0
12.926 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 0) (+ (* 1 1) (* 0 (+ alpha (+ (* 2.0 i) 2.0))))) into 1
12.932 * [backup-simplify]: Simplify (- (/ 0 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) (+ (* (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))) (* (+ (* 4.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (+ (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) (/ (+ (* 2 alpha) (+ (* 4.0 i) 2.0)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))))) into (- (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))))))
12.933 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))))))) in alpha
12.933 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))))) in alpha
12.933 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.933 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.933 * [backup-simplify]: Simplify 16.0 into 16.0
12.933 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.933 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.933 * [taylor]: Taking taylor expansion of alpha in alpha
12.933 * [backup-simplify]: Simplify 0 into 0
12.933 * [backup-simplify]: Simplify 1 into 1
12.933 * [taylor]: Taking taylor expansion of i in alpha
12.933 * [backup-simplify]: Simplify i into i
12.933 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.933 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.933 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.933 * [taylor]: Taking taylor expansion of alpha in alpha
12.933 * [backup-simplify]: Simplify 0 into 0
12.933 * [backup-simplify]: Simplify 1 into 1
12.933 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.933 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.933 * [backup-simplify]: Simplify 2.0 into 2.0
12.933 * [taylor]: Taking taylor expansion of i in alpha
12.933 * [backup-simplify]: Simplify i into i
12.933 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.934 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.934 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.934 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.934 * [taylor]: Taking taylor expansion of alpha in alpha
12.934 * [backup-simplify]: Simplify 0 into 0
12.934 * [backup-simplify]: Simplify 1 into 1
12.934 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.934 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.934 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.934 * [backup-simplify]: Simplify 2.0 into 2.0
12.934 * [taylor]: Taking taylor expansion of i in alpha
12.934 * [backup-simplify]: Simplify i into i
12.934 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.934 * [backup-simplify]: Simplify 2.0 into 2.0
12.934 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.934 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.934 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.934 * [backup-simplify]: Simplify (* 0 i) into 0
12.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.935 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.935 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.935 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.936 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.936 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.936 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.936 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))))) in alpha
12.937 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
12.937 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.937 * [backup-simplify]: Simplify 4.0 into 4.0
12.937 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
12.937 * [taylor]: Taking taylor expansion of i in alpha
12.937 * [backup-simplify]: Simplify i into i
12.937 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
12.937 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.937 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.937 * [taylor]: Taking taylor expansion of alpha in alpha
12.937 * [backup-simplify]: Simplify 0 into 0
12.937 * [backup-simplify]: Simplify 1 into 1
12.937 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.937 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.937 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.937 * [backup-simplify]: Simplify 2.0 into 2.0
12.937 * [taylor]: Taking taylor expansion of i in alpha
12.937 * [backup-simplify]: Simplify i into i
12.937 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.937 * [backup-simplify]: Simplify 2.0 into 2.0
12.937 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.937 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.937 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.937 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.937 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.938 * [taylor]: Taking taylor expansion of alpha in alpha
12.938 * [backup-simplify]: Simplify 0 into 0
12.938 * [backup-simplify]: Simplify 1 into 1
12.938 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.938 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.938 * [backup-simplify]: Simplify 2.0 into 2.0
12.938 * [taylor]: Taking taylor expansion of i in alpha
12.938 * [backup-simplify]: Simplify i into i
12.938 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.938 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.938 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.938 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.938 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
12.939 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.939 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))))) in alpha
12.939 * [taylor]: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.939 * [taylor]: Taking taylor expansion of 4 in alpha
12.939 * [backup-simplify]: Simplify 4 into 4
12.939 * [taylor]: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.939 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
12.939 * [taylor]: Taking taylor expansion of alpha in alpha
12.939 * [backup-simplify]: Simplify 0 into 0
12.939 * [backup-simplify]: Simplify 1 into 1
12.939 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.939 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.939 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.939 * [taylor]: Taking taylor expansion of alpha in alpha
12.939 * [backup-simplify]: Simplify 0 into 0
12.939 * [backup-simplify]: Simplify 1 into 1
12.939 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.939 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.939 * [backup-simplify]: Simplify 2.0 into 2.0
12.939 * [taylor]: Taking taylor expansion of i in alpha
12.939 * [backup-simplify]: Simplify i into i
12.940 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.940 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.940 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.940 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.940 * [taylor]: Taking taylor expansion of alpha in alpha
12.940 * [backup-simplify]: Simplify 0 into 0
12.940 * [backup-simplify]: Simplify 1 into 1
12.940 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.940 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.940 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.940 * [backup-simplify]: Simplify 2.0 into 2.0
12.940 * [taylor]: Taking taylor expansion of i in alpha
12.940 * [backup-simplify]: Simplify i into i
12.940 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.940 * [backup-simplify]: Simplify 2.0 into 2.0
12.940 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.940 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.940 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.941 * [backup-simplify]: Simplify (* 1 1) into 1
12.941 * [backup-simplify]: Simplify (* 1 1) into 1
12.941 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.942 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.942 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.942 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.942 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.943 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.943 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))))) in alpha
12.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
12.943 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.943 * [backup-simplify]: Simplify 2.0 into 2.0
12.943 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
12.943 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
12.943 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.943 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.943 * [taylor]: Taking taylor expansion of alpha in alpha
12.943 * [backup-simplify]: Simplify 0 into 0
12.943 * [backup-simplify]: Simplify 1 into 1
12.943 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.943 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.943 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.943 * [backup-simplify]: Simplify 2.0 into 2.0
12.943 * [taylor]: Taking taylor expansion of i in alpha
12.943 * [backup-simplify]: Simplify i into i
12.943 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.944 * [backup-simplify]: Simplify 2.0 into 2.0
12.944 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.944 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.944 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.944 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.944 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.944 * [taylor]: Taking taylor expansion of alpha in alpha
12.944 * [backup-simplify]: Simplify 0 into 0
12.944 * [backup-simplify]: Simplify 1 into 1
12.944 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.944 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.944 * [backup-simplify]: Simplify 2.0 into 2.0
12.944 * [taylor]: Taking taylor expansion of i in alpha
12.944 * [backup-simplify]: Simplify i into i
12.944 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.944 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.944 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.944 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.945 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
12.945 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
12.945 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))))) in alpha
12.945 * [taylor]: Taking taylor expansion of (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.945 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.945 * [backup-simplify]: Simplify 4.0 into 4.0
12.945 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.945 * [taylor]: Taking taylor expansion of alpha in alpha
12.945 * [backup-simplify]: Simplify 0 into 0
12.945 * [backup-simplify]: Simplify 1 into 1
12.945 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.945 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.945 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.945 * [taylor]: Taking taylor expansion of alpha in alpha
12.945 * [backup-simplify]: Simplify 0 into 0
12.945 * [backup-simplify]: Simplify 1 into 1
12.945 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.945 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.945 * [backup-simplify]: Simplify 2.0 into 2.0
12.945 * [taylor]: Taking taylor expansion of i in alpha
12.945 * [backup-simplify]: Simplify i into i
12.945 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.945 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.945 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.945 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.945 * [taylor]: Taking taylor expansion of alpha in alpha
12.945 * [backup-simplify]: Simplify 0 into 0
12.945 * [backup-simplify]: Simplify 1 into 1
12.945 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.945 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.945 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.945 * [backup-simplify]: Simplify 2.0 into 2.0
12.945 * [taylor]: Taking taylor expansion of i in alpha
12.945 * [backup-simplify]: Simplify i into i
12.945 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.945 * [backup-simplify]: Simplify 2.0 into 2.0
12.945 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.945 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.946 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.946 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.946 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.946 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.946 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.946 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.946 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.946 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))))) in alpha
12.946 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.946 * [taylor]: Taking taylor expansion of 8.0 in alpha
12.946 * [backup-simplify]: Simplify 8.0 into 8.0
12.946 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.946 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.946 * [taylor]: Taking taylor expansion of alpha in alpha
12.947 * [backup-simplify]: Simplify 0 into 0
12.947 * [backup-simplify]: Simplify 1 into 1
12.947 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.947 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.947 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.947 * [taylor]: Taking taylor expansion of alpha in alpha
12.947 * [backup-simplify]: Simplify 0 into 0
12.947 * [backup-simplify]: Simplify 1 into 1
12.947 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.947 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.947 * [backup-simplify]: Simplify 2.0 into 2.0
12.947 * [taylor]: Taking taylor expansion of i in alpha
12.947 * [backup-simplify]: Simplify i into i
12.947 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.947 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.947 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.947 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.947 * [taylor]: Taking taylor expansion of alpha in alpha
12.947 * [backup-simplify]: Simplify 0 into 0
12.947 * [backup-simplify]: Simplify 1 into 1
12.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.947 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.947 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.947 * [backup-simplify]: Simplify 2.0 into 2.0
12.947 * [taylor]: Taking taylor expansion of i in alpha
12.947 * [backup-simplify]: Simplify i into i
12.947 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.947 * [backup-simplify]: Simplify 2.0 into 2.0
12.947 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.947 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.947 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.948 * [backup-simplify]: Simplify (* 1 1) into 1
12.948 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.948 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.948 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.948 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.948 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.948 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.948 * [taylor]: Taking taylor expansion of (+ (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))))) in alpha
12.948 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.948 * [taylor]: Taking taylor expansion of alpha in alpha
12.948 * [backup-simplify]: Simplify 0 into 0
12.948 * [backup-simplify]: Simplify 1 into 1
12.948 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.948 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.949 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.949 * [taylor]: Taking taylor expansion of alpha in alpha
12.949 * [backup-simplify]: Simplify 0 into 0
12.949 * [backup-simplify]: Simplify 1 into 1
12.949 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.949 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.949 * [backup-simplify]: Simplify 2.0 into 2.0
12.949 * [taylor]: Taking taylor expansion of i in alpha
12.949 * [backup-simplify]: Simplify i into i
12.949 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.949 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.949 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.949 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.949 * [taylor]: Taking taylor expansion of alpha in alpha
12.949 * [backup-simplify]: Simplify 0 into 0
12.949 * [backup-simplify]: Simplify 1 into 1
12.949 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.949 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.949 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.949 * [backup-simplify]: Simplify 2.0 into 2.0
12.949 * [taylor]: Taking taylor expansion of i in alpha
12.949 * [backup-simplify]: Simplify i into i
12.949 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.949 * [backup-simplify]: Simplify 2.0 into 2.0
12.949 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.949 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.949 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.949 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.949 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.949 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.950 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
12.950 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) in alpha
12.950 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.950 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.950 * [backup-simplify]: Simplify 16.0 into 16.0
12.950 * [taylor]: Taking taylor expansion of (/ (* alpha (pow i 2)) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.950 * [taylor]: Taking taylor expansion of (* alpha (pow i 2)) in alpha
12.950 * [taylor]: Taking taylor expansion of alpha in alpha
12.950 * [backup-simplify]: Simplify 0 into 0
12.950 * [backup-simplify]: Simplify 1 into 1
12.950 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
12.950 * [taylor]: Taking taylor expansion of i in alpha
12.950 * [backup-simplify]: Simplify i into i
12.950 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.950 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.950 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.950 * [taylor]: Taking taylor expansion of alpha in alpha
12.950 * [backup-simplify]: Simplify 0 into 0
12.950 * [backup-simplify]: Simplify 1 into 1
12.950 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.950 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.950 * [backup-simplify]: Simplify 2.0 into 2.0
12.950 * [taylor]: Taking taylor expansion of i in alpha
12.950 * [backup-simplify]: Simplify i into i
12.950 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.950 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.950 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.950 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.950 * [taylor]: Taking taylor expansion of alpha in alpha
12.950 * [backup-simplify]: Simplify 0 into 0
12.950 * [backup-simplify]: Simplify 1 into 1
12.950 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.950 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.950 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.950 * [backup-simplify]: Simplify 2.0 into 2.0
12.950 * [taylor]: Taking taylor expansion of i in alpha
12.950 * [backup-simplify]: Simplify i into i
12.950 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.950 * [backup-simplify]: Simplify 2.0 into 2.0
12.950 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.950 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.950 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.951 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.951 * [backup-simplify]: Simplify (* 0 (pow i 2)) into 0
12.951 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.951 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow i 2))) into (pow i 2)
12.951 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.951 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.951 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.951 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.952 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.952 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
12.952 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.952 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.952 * [backup-simplify]: Simplify 16.0 into 16.0
12.952 * [taylor]: Taking taylor expansion of (/ (* (pow alpha 2) i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.952 * [taylor]: Taking taylor expansion of (* (pow alpha 2) i) in alpha
12.952 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.952 * [taylor]: Taking taylor expansion of alpha in alpha
12.952 * [backup-simplify]: Simplify 0 into 0
12.952 * [backup-simplify]: Simplify 1 into 1
12.952 * [taylor]: Taking taylor expansion of i in alpha
12.952 * [backup-simplify]: Simplify i into i
12.952 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.952 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.952 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.952 * [taylor]: Taking taylor expansion of alpha in alpha
12.952 * [backup-simplify]: Simplify 0 into 0
12.952 * [backup-simplify]: Simplify 1 into 1
12.952 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.952 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.952 * [backup-simplify]: Simplify 2.0 into 2.0
12.952 * [taylor]: Taking taylor expansion of i in alpha
12.952 * [backup-simplify]: Simplify i into i
12.952 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.952 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.952 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.952 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.952 * [taylor]: Taking taylor expansion of alpha in alpha
12.952 * [backup-simplify]: Simplify 0 into 0
12.952 * [backup-simplify]: Simplify 1 into 1
12.952 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.952 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.953 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.953 * [backup-simplify]: Simplify 2.0 into 2.0
12.953 * [taylor]: Taking taylor expansion of i in alpha
12.953 * [backup-simplify]: Simplify i into i
12.953 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.953 * [backup-simplify]: Simplify 2.0 into 2.0
12.953 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.953 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.953 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.953 * [backup-simplify]: Simplify (* 1 1) into 1
12.953 * [backup-simplify]: Simplify (* 1 i) into i
12.953 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.953 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.953 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.953 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.954 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
12.954 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
12.954 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
12.954 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.5 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
12.954 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) 0) into (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))
12.955 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) into (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))
12.955 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) into (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))
12.956 * [backup-simplify]: Simplify (+ 0 (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) into (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))
12.956 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) into (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))))
12.956 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))))) in i
12.956 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))))) in i
12.956 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
12.956 * [taylor]: Taking taylor expansion of 1.0 in i
12.956 * [backup-simplify]: Simplify 1.0 into 1.0
12.956 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
12.956 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
12.956 * [taylor]: Taking taylor expansion of i in i
12.956 * [backup-simplify]: Simplify 0 into 0
12.956 * [backup-simplify]: Simplify 1 into 1
12.956 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
12.956 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.956 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.956 * [taylor]: Taking taylor expansion of 2.0 in i
12.956 * [backup-simplify]: Simplify 2.0 into 2.0
12.956 * [taylor]: Taking taylor expansion of i in i
12.956 * [backup-simplify]: Simplify 0 into 0
12.956 * [backup-simplify]: Simplify 1 into 1
12.956 * [taylor]: Taking taylor expansion of 2.0 in i
12.956 * [backup-simplify]: Simplify 2.0 into 2.0
12.957 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.957 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.957 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.957 * [backup-simplify]: Simplify (* 0 4.0) into 0
12.958 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.959 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.959 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
12.960 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
12.960 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
12.960 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) in i
12.960 * [taylor]: Taking taylor expansion of 0.5 in i
12.960 * [backup-simplify]: Simplify 0.5 into 0.5
12.960 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) in i
12.961 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)) in i
12.961 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
12.961 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.961 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.961 * [taylor]: Taking taylor expansion of 2.0 in i
12.961 * [backup-simplify]: Simplify 2.0 into 2.0
12.961 * [taylor]: Taking taylor expansion of i in i
12.961 * [backup-simplify]: Simplify 0 into 0
12.961 * [backup-simplify]: Simplify 1 into 1
12.961 * [taylor]: Taking taylor expansion of 2.0 in i
12.961 * [backup-simplify]: Simplify 2.0 into 2.0
12.961 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.961 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.961 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.961 * [taylor]: Taking taylor expansion of i in i
12.961 * [backup-simplify]: Simplify 0 into 0
12.961 * [backup-simplify]: Simplify 1 into 1
12.962 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.962 * [backup-simplify]: Simplify (* 1 1) into 1
12.962 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
12.962 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
12.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.963 * [backup-simplify]: Simplify (+ 0 0) into 0
12.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
12.971 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
12.973 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
12.974 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
12.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.975 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.975 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.976 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
12.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.977 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.977 * [backup-simplify]: Simplify (+ 0 0) into 0
12.979 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
12.980 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 8.0 0) (* 4.0 1))) into 4.0
12.982 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 8.0 1)) into 8.0
12.983 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
12.986 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
12.987 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
12.987 * [backup-simplify]: Simplify (+ (- 0.5) 0.375) into (- 0.125)
12.988 * [backup-simplify]: Simplify (- (- 0.125)) into 0.125
12.988 * [backup-simplify]: Simplify 0.125 into 0.125
12.989 * [backup-simplify]: Simplify (+ (* 0.125 (pow (* 1 (* 1 beta)) 2)) (+ (* 0.25 (* 1 (* alpha 1))) (* (- 0.25) (* 1 (* 1 beta))))) into (- (+ (* 0.25 alpha) (* 0.125 (pow beta 2))) (* 0.25 beta))
12.989 * [backup-simplify]: Simplify (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) into (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
12.989 * [approximate]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
12.989 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
12.989 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
12.989 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.989 * [taylor]: Taking taylor expansion of beta in i
12.989 * [backup-simplify]: Simplify beta into beta
12.989 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.989 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.989 * [taylor]: Taking taylor expansion of alpha in i
12.989 * [backup-simplify]: Simplify alpha into alpha
12.989 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.989 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
12.989 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.989 * [taylor]: Taking taylor expansion of alpha in i
12.989 * [backup-simplify]: Simplify alpha into alpha
12.989 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
12.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.989 * [taylor]: Taking taylor expansion of 2.0 in i
12.989 * [backup-simplify]: Simplify 2.0 into 2.0
12.989 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.989 * [taylor]: Taking taylor expansion of i in i
12.989 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify 1 into 1
12.990 * [backup-simplify]: Simplify (/ 1 1) into 1
12.990 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
12.990 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.990 * [taylor]: Taking taylor expansion of beta in i
12.990 * [backup-simplify]: Simplify beta into beta
12.990 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.990 * [taylor]: Taking taylor expansion of 2.0 in i
12.990 * [backup-simplify]: Simplify 2.0 into 2.0
12.990 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.990 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.990 * [taylor]: Taking taylor expansion of alpha in i
12.990 * [backup-simplify]: Simplify alpha into alpha
12.990 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.990 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.990 * [taylor]: Taking taylor expansion of 2.0 in i
12.990 * [backup-simplify]: Simplify 2.0 into 2.0
12.990 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.990 * [taylor]: Taking taylor expansion of i in i
12.990 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify 1 into 1
12.990 * [backup-simplify]: Simplify (/ 1 1) into 1
12.990 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.990 * [taylor]: Taking taylor expansion of beta in i
12.990 * [backup-simplify]: Simplify beta into beta
12.990 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.991 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
12.991 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
12.991 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.991 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.991 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.992 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.992 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.992 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.992 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.993 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 4.0) into (* 0.25 (- (/ 1 beta) (/ 1 alpha)))
12.993 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.993 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
12.993 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.993 * [taylor]: Taking taylor expansion of beta in alpha
12.993 * [backup-simplify]: Simplify beta into beta
12.993 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.993 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.993 * [taylor]: Taking taylor expansion of alpha in alpha
12.993 * [backup-simplify]: Simplify 0 into 0
12.993 * [backup-simplify]: Simplify 1 into 1
12.993 * [backup-simplify]: Simplify (/ 1 1) into 1
12.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.993 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.993 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.993 * [taylor]: Taking taylor expansion of alpha in alpha
12.993 * [backup-simplify]: Simplify 0 into 0
12.993 * [backup-simplify]: Simplify 1 into 1
12.993 * [backup-simplify]: Simplify (/ 1 1) into 1
12.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.993 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.993 * [backup-simplify]: Simplify 2.0 into 2.0
12.993 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.993 * [taylor]: Taking taylor expansion of i in alpha
12.994 * [backup-simplify]: Simplify i into i
12.994 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.994 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.994 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.994 * [taylor]: Taking taylor expansion of beta in alpha
12.994 * [backup-simplify]: Simplify beta into beta
12.994 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.994 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.994 * [backup-simplify]: Simplify 2.0 into 2.0
12.994 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.994 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.994 * [taylor]: Taking taylor expansion of alpha in alpha
12.994 * [backup-simplify]: Simplify 0 into 0
12.994 * [backup-simplify]: Simplify 1 into 1
12.994 * [backup-simplify]: Simplify (/ 1 1) into 1
12.994 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.994 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.994 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.994 * [backup-simplify]: Simplify 2.0 into 2.0
12.994 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.994 * [taylor]: Taking taylor expansion of i in alpha
12.994 * [backup-simplify]: Simplify i into i
12.994 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.994 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.994 * [taylor]: Taking taylor expansion of beta in alpha
12.994 * [backup-simplify]: Simplify beta into beta
12.994 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.994 * [backup-simplify]: Simplify (- 1) into -1
12.995 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.995 * [backup-simplify]: Simplify (+ 1 0) into 1
12.995 * [backup-simplify]: Simplify (+ 1 0) into 1
12.995 * [backup-simplify]: Simplify (* 1 1) into 1
12.996 * [backup-simplify]: Simplify (/ -1 1) into -1
12.996 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.996 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.996 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.996 * [taylor]: Taking taylor expansion of beta in beta
12.996 * [backup-simplify]: Simplify 0 into 0
12.996 * [backup-simplify]: Simplify 1 into 1
12.996 * [backup-simplify]: Simplify (/ 1 1) into 1
12.996 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.996 * [taylor]: Taking taylor expansion of alpha in beta
12.996 * [backup-simplify]: Simplify alpha into alpha
12.996 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.996 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.996 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
12.996 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.996 * [taylor]: Taking taylor expansion of alpha in beta
12.996 * [backup-simplify]: Simplify alpha into alpha
12.996 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.996 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
12.996 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.996 * [taylor]: Taking taylor expansion of 2.0 in beta
12.996 * [backup-simplify]: Simplify 2.0 into 2.0
12.996 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.996 * [taylor]: Taking taylor expansion of i in beta
12.996 * [backup-simplify]: Simplify i into i
12.996 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.996 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
12.997 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.997 * [taylor]: Taking taylor expansion of beta in beta
12.997 * [backup-simplify]: Simplify 0 into 0
12.997 * [backup-simplify]: Simplify 1 into 1
12.997 * [backup-simplify]: Simplify (/ 1 1) into 1
12.997 * [taylor]: Taking taylor expansion of 2.0 in beta
12.997 * [backup-simplify]: Simplify 2.0 into 2.0
12.997 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.997 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.997 * [taylor]: Taking taylor expansion of alpha in beta
12.997 * [backup-simplify]: Simplify alpha into alpha
12.997 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.997 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.997 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.997 * [taylor]: Taking taylor expansion of 2.0 in beta
12.997 * [backup-simplify]: Simplify 2.0 into 2.0
12.997 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.997 * [taylor]: Taking taylor expansion of i in beta
12.997 * [backup-simplify]: Simplify i into i
12.997 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.997 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.997 * [taylor]: Taking taylor expansion of beta in beta
12.997 * [backup-simplify]: Simplify 0 into 0
12.997 * [backup-simplify]: Simplify 1 into 1
12.997 * [backup-simplify]: Simplify (/ 1 1) into 1
12.998 * [backup-simplify]: Simplify (+ 1 0) into 1
12.998 * [backup-simplify]: Simplify (+ 1 0) into 1
12.998 * [backup-simplify]: Simplify (+ 0 1) into 1
12.998 * [backup-simplify]: Simplify (+ 0 1) into 1
12.999 * [backup-simplify]: Simplify (+ 0 1) into 1
12.999 * [backup-simplify]: Simplify (+ 0 1) into 1
12.999 * [backup-simplify]: Simplify (* 1 1) into 1
12.999 * [backup-simplify]: Simplify (/ 1 1) into 1
12.999 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.999 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.999 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.999 * [taylor]: Taking taylor expansion of beta in beta
12.999 * [backup-simplify]: Simplify 0 into 0
12.999 * [backup-simplify]: Simplify 1 into 1
13.000 * [backup-simplify]: Simplify (/ 1 1) into 1
13.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.000 * [taylor]: Taking taylor expansion of alpha in beta
13.000 * [backup-simplify]: Simplify alpha into alpha
13.000 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
13.000 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
13.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.000 * [taylor]: Taking taylor expansion of alpha in beta
13.000 * [backup-simplify]: Simplify alpha into alpha
13.000 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.000 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
13.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
13.000 * [taylor]: Taking taylor expansion of 2.0 in beta
13.000 * [backup-simplify]: Simplify 2.0 into 2.0
13.000 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
13.000 * [taylor]: Taking taylor expansion of i in beta
13.000 * [backup-simplify]: Simplify i into i
13.000 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.000 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
13.000 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.000 * [taylor]: Taking taylor expansion of beta in beta
13.000 * [backup-simplify]: Simplify 0 into 0
13.000 * [backup-simplify]: Simplify 1 into 1
13.000 * [backup-simplify]: Simplify (/ 1 1) into 1
13.000 * [taylor]: Taking taylor expansion of 2.0 in beta
13.000 * [backup-simplify]: Simplify 2.0 into 2.0
13.000 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
13.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.000 * [taylor]: Taking taylor expansion of alpha in beta
13.001 * [backup-simplify]: Simplify alpha into alpha
13.001 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.001 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
13.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
13.001 * [taylor]: Taking taylor expansion of 2.0 in beta
13.001 * [backup-simplify]: Simplify 2.0 into 2.0
13.001 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
13.001 * [taylor]: Taking taylor expansion of i in beta
13.001 * [backup-simplify]: Simplify i into i
13.001 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.001 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.001 * [taylor]: Taking taylor expansion of beta in beta
13.001 * [backup-simplify]: Simplify 0 into 0
13.001 * [backup-simplify]: Simplify 1 into 1
13.001 * [backup-simplify]: Simplify (/ 1 1) into 1
13.001 * [backup-simplify]: Simplify (+ 1 0) into 1
13.002 * [backup-simplify]: Simplify (+ 1 0) into 1
13.002 * [backup-simplify]: Simplify (+ 0 1) into 1
13.002 * [backup-simplify]: Simplify (+ 0 1) into 1
13.002 * [backup-simplify]: Simplify (+ 0 1) into 1
13.003 * [backup-simplify]: Simplify (+ 0 1) into 1
13.003 * [backup-simplify]: Simplify (* 1 1) into 1
13.003 * [backup-simplify]: Simplify (/ 1 1) into 1
13.003 * [taylor]: Taking taylor expansion of 1 in alpha
13.003 * [backup-simplify]: Simplify 1 into 1
13.003 * [taylor]: Taking taylor expansion of 0 in i
13.003 * [backup-simplify]: Simplify 0 into 0
13.003 * [backup-simplify]: Simplify 0 into 0
13.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.004 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
13.004 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
13.004 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
13.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.004 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
13.004 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
13.004 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
13.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.005 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
13.005 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
13.005 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
13.006 * [backup-simplify]: Simplify (+ (* 1 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) 1)) into (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))
13.006 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) 1)))) into (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)))
13.006 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) in alpha
13.006 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) in alpha
13.006 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
13.006 * [taylor]: Taking taylor expansion of 3 in alpha
13.006 * [backup-simplify]: Simplify 3 into 3
13.006 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.006 * [taylor]: Taking taylor expansion of alpha in alpha
13.006 * [backup-simplify]: Simplify 0 into 0
13.006 * [backup-simplify]: Simplify 1 into 1
13.006 * [backup-simplify]: Simplify (/ 1 1) into 1
13.006 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in alpha
13.006 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
13.006 * [taylor]: Taking taylor expansion of 4.0 in alpha
13.006 * [backup-simplify]: Simplify 4.0 into 4.0
13.006 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
13.006 * [taylor]: Taking taylor expansion of i in alpha
13.006 * [backup-simplify]: Simplify i into i
13.006 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.006 * [taylor]: Taking taylor expansion of 2.0 in alpha
13.006 * [backup-simplify]: Simplify 2.0 into 2.0
13.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.008 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
13.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.008 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
13.009 * [backup-simplify]: Simplify (+ 0 0) into 0
13.009 * [backup-simplify]: Simplify (+ 0 0) into 0
13.009 * [backup-simplify]: Simplify (- 0) into 0
13.009 * [taylor]: Taking taylor expansion of 0 in i
13.009 * [backup-simplify]: Simplify 0 into 0
13.009 * [backup-simplify]: Simplify 0 into 0
13.010 * [taylor]: Taking taylor expansion of 0 in i
13.010 * [backup-simplify]: Simplify 0 into 0
13.010 * [backup-simplify]: Simplify 0 into 0
13.010 * [backup-simplify]: Simplify 0 into 0
13.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
13.011 * [backup-simplify]: Simplify (- 0) into 0
13.011 * [backup-simplify]: Simplify (+ 0 0) into 0
13.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
13.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.012 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
13.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.014 * [backup-simplify]: Simplify (+ 0 0) into 0
13.014 * [backup-simplify]: Simplify (+ 0 0) into 0
13.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
13.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.015 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
13.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.016 * [backup-simplify]: Simplify (+ 0 0) into 0
13.016 * [backup-simplify]: Simplify (+ 0 0) into 0
13.017 * [backup-simplify]: Simplify (+ 0 0) into 0
13.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* 0 1))) into (+ (* 2.0 (/ 1 alpha)) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 i)) (/ 1 (pow alpha 2))))))
13.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (+ (* 2.0 (/ 1 alpha)) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 i)) (/ 1 (pow alpha 2)))))) 1)) (* (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) (/ (+ (* 2 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) 1)))) into (+ (* 8.0 (/ 1 alpha)) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))))
13.019 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))))) in alpha
13.019 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
13.019 * [taylor]: Taking taylor expansion of 8.0 in alpha
13.019 * [backup-simplify]: Simplify 8.0 into 8.0
13.019 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.019 * [taylor]: Taking taylor expansion of alpha in alpha
13.019 * [backup-simplify]: Simplify 0 into 0
13.019 * [backup-simplify]: Simplify 1 into 1
13.019 * [backup-simplify]: Simplify (/ 1 1) into 1
13.019 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))) in alpha
13.019 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
13.019 * [taylor]: Taking taylor expansion of 16.0 in alpha
13.019 * [backup-simplify]: Simplify 16.0 into 16.0
13.019 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
13.019 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
13.019 * [taylor]: Taking taylor expansion of alpha in alpha
13.019 * [backup-simplify]: Simplify 0 into 0
13.019 * [backup-simplify]: Simplify 1 into 1
13.019 * [taylor]: Taking taylor expansion of i in alpha
13.019 * [backup-simplify]: Simplify i into i
13.019 * [backup-simplify]: Simplify (* 0 i) into 0
13.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
13.020 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.020 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
13.020 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
13.020 * [taylor]: Taking taylor expansion of 12.0 in alpha
13.020 * [backup-simplify]: Simplify 12.0 into 12.0
13.020 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
13.020 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
13.020 * [taylor]: Taking taylor expansion of i in alpha
13.020 * [backup-simplify]: Simplify i into i
13.020 * [backup-simplify]: Simplify (* i i) into (pow i 2)
13.020 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
13.020 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
13.020 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
13.020 * [taylor]: Taking taylor expansion of 12.0 in alpha
13.020 * [backup-simplify]: Simplify 12.0 into 12.0
13.020 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
13.020 * [taylor]: Taking taylor expansion of i in alpha
13.020 * [backup-simplify]: Simplify i into i
13.020 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.020 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
13.020 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
13.020 * [taylor]: Taking taylor expansion of 5 in alpha
13.020 * [backup-simplify]: Simplify 5 into 5
13.020 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
13.020 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
13.020 * [taylor]: Taking taylor expansion of alpha in alpha
13.020 * [backup-simplify]: Simplify 0 into 0
13.020 * [backup-simplify]: Simplify 1 into 1
13.021 * [backup-simplify]: Simplify (* 1 1) into 1
13.021 * [backup-simplify]: Simplify (/ 1 1) into 1
13.021 * [taylor]: Taking taylor expansion of 4.0 in alpha
13.021 * [backup-simplify]: Simplify 4.0 into 4.0
13.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.022 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
13.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
13.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
13.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
13.024 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
13.024 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
13.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
13.025 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
13.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.025 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
13.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.029 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.029 * [backup-simplify]: Simplify (+ 0 0) into 0
13.029 * [backup-simplify]: Simplify (+ 0 0) into 0
13.029 * [backup-simplify]: Simplify (+ 0 0) into 0
13.030 * [backup-simplify]: Simplify (+ 0 0) into 0
13.030 * [backup-simplify]: Simplify (+ 0 0) into 0
13.030 * [taylor]: Taking taylor expansion of 0 in i
13.030 * [backup-simplify]: Simplify 0 into 0
13.030 * [backup-simplify]: Simplify 0 into 0
13.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.031 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
13.032 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
13.032 * [backup-simplify]: Simplify (+ 0 0) into 0
13.032 * [backup-simplify]: Simplify (+ 0 0) into 0
13.033 * [backup-simplify]: Simplify (- 0) into 0
13.033 * [taylor]: Taking taylor expansion of 0 in i
13.033 * [backup-simplify]: Simplify 0 into 0
13.033 * [backup-simplify]: Simplify 0 into 0
13.033 * [backup-simplify]: Simplify 0 into 0
13.033 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) into (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))
13.033 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in (beta alpha i) around 0
13.033 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
13.033 * [taylor]: Taking taylor expansion of -1 in i
13.033 * [backup-simplify]: Simplify -1 into -1
13.033 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
13.033 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
13.033 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
13.033 * [taylor]: Taking taylor expansion of alpha in i
13.033 * [backup-simplify]: Simplify alpha into alpha
13.033 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.033 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
13.033 * [taylor]: Taking taylor expansion of beta in i
13.033 * [backup-simplify]: Simplify beta into beta
13.033 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
13.034 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
13.034 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
13.034 * [taylor]: Taking taylor expansion of 2.0 in i
13.034 * [backup-simplify]: Simplify 2.0 into 2.0
13.034 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
13.034 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
13.034 * [taylor]: Taking taylor expansion of alpha in i
13.034 * [backup-simplify]: Simplify alpha into alpha
13.034 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.034 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
13.034 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
13.034 * [taylor]: Taking taylor expansion of 2.0 in i
13.034 * [backup-simplify]: Simplify 2.0 into 2.0
13.034 * [taylor]: Taking taylor expansion of (/ 1 i) in i
13.034 * [taylor]: Taking taylor expansion of i in i
13.034 * [backup-simplify]: Simplify 0 into 0
13.034 * [backup-simplify]: Simplify 1 into 1
13.034 * [backup-simplify]: Simplify (/ 1 1) into 1
13.034 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
13.034 * [taylor]: Taking taylor expansion of beta in i
13.034 * [backup-simplify]: Simplify beta into beta
13.034 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
13.034 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
13.034 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
13.034 * [taylor]: Taking taylor expansion of alpha in i
13.034 * [backup-simplify]: Simplify alpha into alpha
13.034 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.034 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
13.034 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
13.034 * [taylor]: Taking taylor expansion of 2.0 in i
13.035 * [backup-simplify]: Simplify 2.0 into 2.0
13.035 * [taylor]: Taking taylor expansion of (/ 1 i) in i
13.035 * [taylor]: Taking taylor expansion of i in i
13.035 * [backup-simplify]: Simplify 0 into 0
13.035 * [backup-simplify]: Simplify 1 into 1
13.035 * [backup-simplify]: Simplify (/ 1 1) into 1
13.035 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
13.035 * [taylor]: Taking taylor expansion of beta in i
13.035 * [backup-simplify]: Simplify beta into beta
13.035 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
13.035 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
13.035 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
13.035 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
13.036 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
13.036 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
13.036 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
13.037 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
13.037 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
13.037 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
13.038 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
13.038 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
13.038 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) -4.0) into (* -0.25 (- (/ 1 alpha) (/ 1 beta)))
13.038 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
13.038 * [taylor]: Taking taylor expansion of -1 in alpha
13.038 * [backup-simplify]: Simplify -1 into -1
13.038 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
13.038 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
13.038 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.038 * [taylor]: Taking taylor expansion of alpha in alpha
13.038 * [backup-simplify]: Simplify 0 into 0
13.038 * [backup-simplify]: Simplify 1 into 1
13.038 * [backup-simplify]: Simplify (/ 1 1) into 1
13.039 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
13.039 * [taylor]: Taking taylor expansion of beta in alpha
13.039 * [backup-simplify]: Simplify beta into beta
13.039 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
13.039 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
13.039 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
13.039 * [taylor]: Taking taylor expansion of 2.0 in alpha
13.039 * [backup-simplify]: Simplify 2.0 into 2.0
13.039 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
13.039 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.039 * [taylor]: Taking taylor expansion of alpha in alpha
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 1 into 1
13.039 * [backup-simplify]: Simplify (/ 1 1) into 1
13.039 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
13.039 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
13.039 * [taylor]: Taking taylor expansion of 2.0 in alpha
13.039 * [backup-simplify]: Simplify 2.0 into 2.0
13.039 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
13.039 * [taylor]: Taking taylor expansion of i in alpha
13.039 * [backup-simplify]: Simplify i into i
13.039 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.039 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
13.039 * [taylor]: Taking taylor expansion of beta in alpha
13.039 * [backup-simplify]: Simplify beta into beta
13.039 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
13.039 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
13.039 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.039 * [taylor]: Taking taylor expansion of alpha in alpha
13.039 * [backup-simplify]: Simplify 0 into 0
13.039 * [backup-simplify]: Simplify 1 into 1
13.040 * [backup-simplify]: Simplify (/ 1 1) into 1
13.040 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
13.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
13.040 * [taylor]: Taking taylor expansion of 2.0 in alpha
13.040 * [backup-simplify]: Simplify 2.0 into 2.0
13.040 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
13.040 * [taylor]: Taking taylor expansion of i in alpha
13.040 * [backup-simplify]: Simplify i into i
13.040 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.040 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
13.040 * [taylor]: Taking taylor expansion of beta in alpha
13.040 * [backup-simplify]: Simplify beta into beta
13.040 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
13.040 * [backup-simplify]: Simplify (+ 1 0) into 1
13.040 * [backup-simplify]: Simplify (+ 1 0) into 1
13.041 * [backup-simplify]: Simplify (- 1) into -1
13.041 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.041 * [backup-simplify]: Simplify (+ 1 0) into 1
13.041 * [backup-simplify]: Simplify (* -1 1) into -1
13.042 * [backup-simplify]: Simplify (/ 1 -1) into -1
13.042 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
13.042 * [taylor]: Taking taylor expansion of -1 in beta
13.042 * [backup-simplify]: Simplify -1 into -1
13.042 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
13.042 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
13.042 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.042 * [taylor]: Taking taylor expansion of alpha in beta
13.042 * [backup-simplify]: Simplify alpha into alpha
13.042 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.042 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.042 * [taylor]: Taking taylor expansion of beta in beta
13.042 * [backup-simplify]: Simplify 0 into 0
13.042 * [backup-simplify]: Simplify 1 into 1
13.042 * [backup-simplify]: Simplify (/ 1 1) into 1
13.042 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
13.042 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
13.042 * [taylor]: Taking taylor expansion of 2.0 in beta
13.042 * [backup-simplify]: Simplify 2.0 into 2.0
13.042 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
13.042 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.042 * [taylor]: Taking taylor expansion of alpha in beta
13.042 * [backup-simplify]: Simplify alpha into alpha
13.042 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.042 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
13.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
13.042 * [taylor]: Taking taylor expansion of 2.0 in beta
13.042 * [backup-simplify]: Simplify 2.0 into 2.0
13.042 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
13.042 * [taylor]: Taking taylor expansion of i in beta
13.042 * [backup-simplify]: Simplify i into i
13.042 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.042 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.042 * [taylor]: Taking taylor expansion of beta in beta
13.042 * [backup-simplify]: Simplify 0 into 0
13.042 * [backup-simplify]: Simplify 1 into 1
13.043 * [backup-simplify]: Simplify (/ 1 1) into 1
13.043 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
13.043 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.043 * [taylor]: Taking taylor expansion of alpha in beta
13.043 * [backup-simplify]: Simplify alpha into alpha
13.043 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.043 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
13.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
13.043 * [taylor]: Taking taylor expansion of 2.0 in beta
13.043 * [backup-simplify]: Simplify 2.0 into 2.0
13.043 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
13.043 * [taylor]: Taking taylor expansion of i in beta
13.043 * [backup-simplify]: Simplify i into i
13.043 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.043 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.043 * [taylor]: Taking taylor expansion of beta in beta
13.043 * [backup-simplify]: Simplify 0 into 0
13.043 * [backup-simplify]: Simplify 1 into 1
13.043 * [backup-simplify]: Simplify (/ 1 1) into 1
13.044 * [backup-simplify]: Simplify (- 1) into -1
13.044 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.044 * [backup-simplify]: Simplify (+ 0 1) into 1
13.044 * [backup-simplify]: Simplify (+ 0 1) into 1
13.045 * [backup-simplify]: Simplify (- 1) into -1
13.045 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.045 * [backup-simplify]: Simplify (+ 0 1) into 1
13.045 * [backup-simplify]: Simplify (+ 0 1) into 1
13.046 * [backup-simplify]: Simplify (* -1 1) into -1
13.046 * [backup-simplify]: Simplify (/ -1 -1) into 1
13.046 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
13.046 * [taylor]: Taking taylor expansion of -1 in beta
13.046 * [backup-simplify]: Simplify -1 into -1
13.046 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
13.046 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
13.046 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.046 * [taylor]: Taking taylor expansion of alpha in beta
13.046 * [backup-simplify]: Simplify alpha into alpha
13.046 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.046 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.046 * [taylor]: Taking taylor expansion of beta in beta
13.046 * [backup-simplify]: Simplify 0 into 0
13.046 * [backup-simplify]: Simplify 1 into 1
13.046 * [backup-simplify]: Simplify (/ 1 1) into 1
13.046 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
13.046 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
13.046 * [taylor]: Taking taylor expansion of 2.0 in beta
13.046 * [backup-simplify]: Simplify 2.0 into 2.0
13.046 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
13.047 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.047 * [taylor]: Taking taylor expansion of alpha in beta
13.047 * [backup-simplify]: Simplify alpha into alpha
13.047 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.047 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
13.047 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
13.047 * [taylor]: Taking taylor expansion of 2.0 in beta
13.047 * [backup-simplify]: Simplify 2.0 into 2.0
13.047 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
13.047 * [taylor]: Taking taylor expansion of i in beta
13.047 * [backup-simplify]: Simplify i into i
13.047 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.047 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.047 * [taylor]: Taking taylor expansion of beta in beta
13.047 * [backup-simplify]: Simplify 0 into 0
13.047 * [backup-simplify]: Simplify 1 into 1
13.047 * [backup-simplify]: Simplify (/ 1 1) into 1
13.047 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
13.047 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
13.047 * [taylor]: Taking taylor expansion of alpha in beta
13.047 * [backup-simplify]: Simplify alpha into alpha
13.047 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
13.047 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
13.047 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
13.047 * [taylor]: Taking taylor expansion of 2.0 in beta
13.047 * [backup-simplify]: Simplify 2.0 into 2.0
13.047 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
13.047 * [taylor]: Taking taylor expansion of i in beta
13.047 * [backup-simplify]: Simplify i into i
13.047 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.047 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
13.047 * [taylor]: Taking taylor expansion of beta in beta
13.047 * [backup-simplify]: Simplify 0 into 0
13.047 * [backup-simplify]: Simplify 1 into 1
13.048 * [backup-simplify]: Simplify (/ 1 1) into 1
13.048 * [backup-simplify]: Simplify (- 1) into -1
13.048 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.048 * [backup-simplify]: Simplify (+ 0 1) into 1
13.049 * [backup-simplify]: Simplify (+ 0 1) into 1
13.049 * [backup-simplify]: Simplify (- 1) into -1
13.049 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.049 * [backup-simplify]: Simplify (+ 0 1) into 1
13.050 * [backup-simplify]: Simplify (+ 0 1) into 1
13.050 * [backup-simplify]: Simplify (* -1 1) into -1
13.050 * [backup-simplify]: Simplify (/ -1 -1) into 1
13.050 * [backup-simplify]: Simplify (* -1 1) into -1
13.050 * [taylor]: Taking taylor expansion of -1 in alpha
13.050 * [backup-simplify]: Simplify -1 into -1
13.050 * [taylor]: Taking taylor expansion of 0 in i
13.050 * [backup-simplify]: Simplify 0 into 0
13.050 * [backup-simplify]: Simplify 0 into 0
13.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.051 * [backup-simplify]: Simplify (- 0) into 0
13.051 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
13.051 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
13.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.052 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
13.052 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
13.052 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
13.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.053 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
13.053 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
13.053 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
13.053 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
13.054 * [backup-simplify]: Simplify (+ (* -1 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) 1)) into (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i))))
13.054 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) -1) (+ (* 1 (/ (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i)))) -1)))) into (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))
13.055 * [backup-simplify]: Simplify (+ (* -1 (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))) (* 0 1)) into (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0)
13.055 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0) in alpha
13.055 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) in alpha
13.055 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
13.055 * [taylor]: Taking taylor expansion of 3 in alpha
13.055 * [backup-simplify]: Simplify 3 into 3
13.055 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.055 * [taylor]: Taking taylor expansion of alpha in alpha
13.055 * [backup-simplify]: Simplify 0 into 0
13.055 * [backup-simplify]: Simplify 1 into 1
13.056 * [backup-simplify]: Simplify (/ 1 1) into 1
13.056 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
13.056 * [taylor]: Taking taylor expansion of 4.0 in alpha
13.056 * [backup-simplify]: Simplify 4.0 into 4.0
13.056 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
13.056 * [taylor]: Taking taylor expansion of i in alpha
13.056 * [backup-simplify]: Simplify i into i
13.056 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.056 * [taylor]: Taking taylor expansion of 2.0 in alpha
13.056 * [backup-simplify]: Simplify 2.0 into 2.0
13.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.059 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
13.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.059 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
13.060 * [backup-simplify]: Simplify (+ 0 0) into 0
13.060 * [backup-simplify]: Simplify (- 0) into 0
13.060 * [backup-simplify]: Simplify (+ 0 0) into 0
13.060 * [taylor]: Taking taylor expansion of 0 in i
13.060 * [backup-simplify]: Simplify 0 into 0
13.060 * [backup-simplify]: Simplify 0 into 0
13.060 * [taylor]: Taking taylor expansion of 0 in i
13.060 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
13.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.062 * [backup-simplify]: Simplify (- 0) into 0
13.062 * [backup-simplify]: Simplify (+ 0 0) into 0
13.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
13.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.063 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
13.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.064 * [backup-simplify]: Simplify (+ 0 0) into 0
13.065 * [backup-simplify]: Simplify (+ 0 0) into 0
13.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
13.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.070 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
13.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.072 * [backup-simplify]: Simplify (+ 0 0) into 0
13.072 * [backup-simplify]: Simplify (+ 0 0) into 0
13.072 * [backup-simplify]: Simplify (- 0) into 0
13.072 * [backup-simplify]: Simplify (+ 0 0) into 0
13.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) (* 0 1))) into (- (+ (* 2.0 (/ 1 alpha)) (* 4.0 (/ 1 i))) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow alpha 2)))))
13.075 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (- (+ (* 2.0 (/ 1 alpha)) (* 4.0 (/ 1 i))) (+ (* 4.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow alpha 2))))) -1)) (* (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i)))) (/ (- 2.0 (+ (* 2 (/ 1 alpha)) (* 4.0 (/ 1 i)))) -1)))) into (- (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))))
13.076 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))))) (+ (* 0 (- 2.0 (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))))) (* 0 1))) into (- (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))))
13.076 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)))) in alpha
13.076 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) in alpha
13.076 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
13.076 * [taylor]: Taking taylor expansion of 8.0 in alpha
13.076 * [backup-simplify]: Simplify 8.0 into 8.0
13.076 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
13.076 * [taylor]: Taking taylor expansion of alpha in alpha
13.076 * [backup-simplify]: Simplify 0 into 0
13.076 * [backup-simplify]: Simplify 1 into 1
13.077 * [backup-simplify]: Simplify (/ 1 1) into 1
13.077 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
13.077 * [taylor]: Taking taylor expansion of 12.0 in alpha
13.077 * [backup-simplify]: Simplify 12.0 into 12.0
13.077 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
13.077 * [taylor]: Taking taylor expansion of i in alpha
13.077 * [backup-simplify]: Simplify i into i
13.077 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.077 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 (* alpha i))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
13.077 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
13.077 * [taylor]: Taking taylor expansion of 16.0 in alpha
13.077 * [backup-simplify]: Simplify 16.0 into 16.0
13.077 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
13.077 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
13.077 * [taylor]: Taking taylor expansion of alpha in alpha
13.077 * [backup-simplify]: Simplify 0 into 0
13.077 * [backup-simplify]: Simplify 1 into 1
13.077 * [taylor]: Taking taylor expansion of i in alpha
13.077 * [backup-simplify]: Simplify i into i
13.077 * [backup-simplify]: Simplify (* 0 i) into 0
13.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
13.077 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
13.077 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
13.077 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
13.077 * [taylor]: Taking taylor expansion of 12.0 in alpha
13.077 * [backup-simplify]: Simplify 12.0 into 12.0
13.077 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
13.077 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
13.077 * [taylor]: Taking taylor expansion of i in alpha
13.077 * [backup-simplify]: Simplify i into i
13.077 * [backup-simplify]: Simplify (* i i) into (pow i 2)
13.078 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
13.078 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
13.078 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
13.078 * [taylor]: Taking taylor expansion of 5 in alpha
13.078 * [backup-simplify]: Simplify 5 into 5
13.078 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
13.078 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
13.078 * [taylor]: Taking taylor expansion of alpha in alpha
13.078 * [backup-simplify]: Simplify 0 into 0
13.078 * [backup-simplify]: Simplify 1 into 1
13.078 * [backup-simplify]: Simplify (* 1 1) into 1
13.078 * [backup-simplify]: Simplify (/ 1 1) into 1
13.078 * [taylor]: Taking taylor expansion of 4.0 in alpha
13.078 * [backup-simplify]: Simplify 4.0 into 4.0
13.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.080 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
13.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.080 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
13.080 * [backup-simplify]: Simplify (+ 0 0) into 0
13.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
13.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
13.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
13.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
13.083 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
13.083 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
13.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
13.083 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
13.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
13.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.088 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.088 * [backup-simplify]: Simplify (+ 0 0) into 0
13.089 * [backup-simplify]: Simplify (+ 0 0) into 0
13.089 * [backup-simplify]: Simplify (+ 0 0) into 0
13.089 * [backup-simplify]: Simplify (- 0) into 0
13.089 * [backup-simplify]: Simplify (+ 0 0) into 0
13.089 * [taylor]: Taking taylor expansion of 0 in i
13.089 * [backup-simplify]: Simplify 0 into 0
13.089 * [backup-simplify]: Simplify 0 into 0
13.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.091 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
13.091 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
13.092 * [backup-simplify]: Simplify (+ 0 0) into 0
13.092 * [backup-simplify]: Simplify (- 0) into 0
13.092 * [backup-simplify]: Simplify (+ 0 0) into 0
13.092 * [taylor]: Taking taylor expansion of 0 in i
13.092 * [backup-simplify]: Simplify 0 into 0
13.092 * [backup-simplify]: Simplify 0 into 0
13.092 * [backup-simplify]: Simplify 0 into 0
13.092 * * * [progress]: simplifying candidates
13.102 * [simplify]: Simplifying:
  (* (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (exp 1.0))
  (log (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (* (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (* (* (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (+ (pow (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 3) (pow 1.0 3))
  (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (- (* 1.0 1.0) (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0))
  (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (+ (log (+ alpha beta)) (- (- (log (- beta alpha)) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ (log (+ alpha beta)) (- (log (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ (log (+ alpha beta)) (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (log (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (exp (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (/ (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (/ (* (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (cbrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ (pow alpha 3) (pow beta 3)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (* (- (* alpha alpha) (* beta beta)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (- alpha beta) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (* (sqrt (+ alpha beta)) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ alpha beta)) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1))
  (* (+ alpha beta) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ (sqrt (- beta alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ (/ 1 1) 1))
  (* (+ alpha beta) (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ 1 1))
  (* (+ alpha beta) (/ 1 1))
  (* (+ alpha beta) (/ (- beta alpha) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (- beta alpha) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (- beta alpha) 1))
  (* (+ alpha beta) (/ (- beta alpha) 1))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1))
  (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1))
  (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1))
  (* (+ alpha beta) 1)
  (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3))))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0))))
  (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (+ alpha beta) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (+ (pow alpha 3) (pow beta 3)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (- (* alpha alpha) (* beta beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (log (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (exp (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (cbrt (pow (* (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 3))
  (cbrt (pow (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3))
  (cbrt (pow (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3))
  (cbrt (pow (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))
  (cbrt (* (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (cbrt (* (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)) (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))))
  (cbrt (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (cbrt (pow (* (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 3))
  (cbrt (pow (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3))
  (cbrt (pow (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3))
  (cbrt (pow (sqrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3))
  (cbrt (pow 1 3))
  (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))
  (cbrt (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))
  (cbrt (* (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)))
  (cbrt (sqrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (cbrt (sqrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (cbrt 1)
  (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))
  (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (/ 3 2)))
  (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) (/ 3 2)))
  (cbrt (pow (+ (pow (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 3) (pow 1.0 3)) 3))
  (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (- (* 1.0 1.0) (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 3))
  (cbrt (pow (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) 3))
  (cbrt (pow (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))
  (* (cbrt (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))) (cbrt (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))))
  (cbrt (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (* (* (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)) (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3))) (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (sqrt (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (sqrt (cbrt (pow (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0) 3)))
  (- (- (log (- beta alpha)) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (log (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (exp (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (- (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ beta (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ alpha (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1)
  (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) 1) 1)
  (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (sqrt (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (sqrt (- beta alpha)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (- beta alpha)) 1) 1)
  (/ (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (sqrt (- beta alpha)) 1) 1)
  (/ (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) 1)
  (/ (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) 1) 1)
  (/ (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ 1 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (- beta alpha) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ 1 (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (- (+ alpha beta) (* 2.0 i)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0)))
  (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ alpha beta) (* 2.0 i)))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
  0
  0
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 0.25 alpha) (* 0.125 (pow beta 2))) (* 0.25 beta))
  0
  0
13.107 * [simplify]: Sending expressions to egg_math:
 (* (exp (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (exp h0))
 (log (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (exp (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (* (cbrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)) (cbrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)))
 (cbrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (* (* (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0) (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)) (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (sqrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (sqrt (+ (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0))
 (+ (pow (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) 3) (pow h0 3))
 (+ (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (- (* h0 h0) (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)))
 (- (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (* h0 h0))
 (- (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) h0)
 (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))
 (+ (log (+ h4 h3)) (- (- (log (- h3 h4)) (log (+ (+ h4 h3) (* h1 h2)))) (log (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (+ (log (+ h4 h3)) (- (log (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (log (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (+ (log (+ h4 h3)) (log (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (log (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (exp (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (+ h4 h3)) (+ h4 h3)) (/ (/ (* (* (- h3 h4) (- h3 h4)) (- h3 h4)) (* (* (+ (+ h4 h3) (* h1 h2)) (+ (+ h4 h3) (* h1 h2))) (+ (+ h4 h3) (* h1 h2)))) (* (* (+ (+ (+ h4 h3) (* h1 h2)) h1) (+ (+ (+ h4 h3) (* h1 h2)) h1)) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (+ h4 h3)) (+ h4 h3)) (/ (* (* (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (* (* (+ (+ (+ h4 h3) (* h1 h2)) h1) (+ (+ (+ h4 h3) (* h1 h2)) h1)) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (+ h4 h3)) (+ h4 h3)) (* (* (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (cbrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (cbrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (cbrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (* (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))) (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (sqrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (sqrt (* (+ h4 h3) (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ (pow h4 3) (pow h3 3)) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))
 (* (+ (* h4 h4) (- (* h3 h3) (* h4 h3))) (+ (+ (+ h4 h3) (* h1 h2)) h1))
 (* (- (* h4 h4) (* h3 h3)) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))
 (* (- h4 h3) (+ (+ (+ h4 h3) (* h1 h2)) h1))
 (* (sqrt (+ h4 h3)) (sqrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (sqrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (/ (sqrt (- h3 h4)) (sqrt (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (sqrt (+ h4 h3)) (/ (/ (sqrt (- h3 h4)) (sqrt (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (* (cbrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))) (cbrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (sqrt (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) (* (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)) (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) 1))
 (* (+ h4 h3) (/ (* (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (cbrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))) 1))
 (* (+ h4 h3) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (* (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)) (cbrt (+ (+ (+ h4 h3) (* h1 h2)) h1)))))
 (* (+ h4 h3) (/ (sqrt (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2)))) (sqrt (+ (+ (+ h4 h3) (* h1 h2)) h1))))
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 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- (sqrt h3) (sqrt h4)) (cbrt (+ (+ h4 h3) (* h1 h2)))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- (sqrt h3) (sqrt h4)) (sqrt (+ (+ h4 h3) (* h1 h2)))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- (sqrt h3) (sqrt h4)) (+ (+ h4 h3) (* h1 h2))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- h3 h4) (cbrt (+ (+ h4 h3) (* h1 h2)))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- h3 h4) (sqrt (+ (+ h4 h3) (* h1 h2)))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (/ 1 (+ (+ h4 h3) (* h1 h2))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (+ (* (+ h4 h3) (+ h4 h3)) (- (* (* h1 h2) (* h1 h2)) (* (+ h4 h3) (* h1 h2)))))
 (/ (+ (+ (+ h4 h3) (* h1 h2)) h1) (- (+ h4 h3) (* h1 h2)))
 (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (+ (pow (+ (+ h4 h3) (* h1 h2)) 3) (pow h1 3)))
 (/ (/ (- h3 h4) (+ (+ h4 h3) (* h1 h2))) (- (* (+ (+ h4 h3) (* h1 h2)) (+ (+ h4 h3) (* h1 h2))) (* h1 h1)))
 (* (+ (+ (+ h4 h3) (* h1 h2)) h1) (+ (+ h4 h3) (* h1 h2)))
 (- (+ h0 (* h5 (pow h4 2))) (* h5 (pow h3 2)))
 (- (+ (* h1 (/ 1 h4)) (* h7 (/ 1 (pow h4 3)))) (* h6 (/ 1 (pow h4 2))))
 (- (+ (* h1 (/ 1 h4)) (* h7 (/ 1 (pow h4 3)))) (* h6 (/ 1 (pow h4 2))))
 (- (* h5 (pow h4 2)) (+ (* h8 (pow h4 3)) (* h5 (pow h3 2))))
 0
 0
 (- (+ h0 (* h5 (pow h4 2))) (* h5 (pow h3 2)))
 (- (+ (* h1 (/ 1 h4)) (* h7 (/ 1 (pow h4 3)))) (* h6 (/ 1 (pow h4 2))))
 (- (+ (* h1 (/ 1 h4)) (* h7 (/ 1 (pow h4 3)))) (* h6 (/ 1 (pow h4 2))))
 (- (+ (* h5 h4) (* h8 (pow h3 2))) (* h5 h3))
 0
 0
13.169 * * * [progress]: adding candidates to table
14.361 * [progress]: [Phase 3 of 3] Extracting.
14.361 * * [regime]: Finding splitpoints for: (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.370 * * * [regime-changes]: Trying 4 branch expressions: ((* 2.0 i) i beta alpha)
14.370 * * * * [regimes]: Trying to branch on (* 2.0 i) from (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.438 * * * * [regimes]: Trying to branch on i from (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.519 * * * * [regimes]: Trying to branch on beta from (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.604 * * * * [regimes]: Trying to branch on alpha from (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.693 * * * [regime]: Found split indices: #<option (#s(si 0 238) #s(si 3 255))>
14.695 * [binary-search]: Improving bounds with binary search for alpha and (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.803 * [regimes]: Found splitpoints: (#s(sp 0 alpha 7.199390437266368e+259) #s(sp 3 alpha +nan.0)) , with alts (#<alt (λ (alpha beta i) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (cbrt (+ alpha beta)) (cbrt (+ alpha beta))) (* (cbrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (+ alpha beta) (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (sqrt (+ alpha beta)) (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (/ (- (* (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* 1.0 1.0)) (- (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ alpha beta) (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))>)
14.803 * [simplify]: Simplifying:
  (if (<= alpha 7.199390437266368e+259) (/ (log (exp (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0))) 2.0) (/ (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2)))) 2.0))
14.803 * [simplify]: Sending expressions to egg_math:
 (if (<= h1 h7) (/ (log (exp (+ (* (+ h1 h6) (/ (/ (- h6 h1) (+ (+ h1 h6) (* h0 h5))) (+ (+ (+ h1 h6) (* h0 h5)) h0))) h4))) h0) (/ (- (+ (* h0 (/ 1 h1)) (* h3 (/ 1 (pow h1 3)))) (* h2 (/ 1 (pow h1 2)))) h0))
18.071 * [regime-testing]: Baseline error score: 12.604740545624837
18.075 * [regime-testing]: Oracle error score: 5.892248090335342
18.083 * [regime-testing]: End program error score: 11.99678969217869